The statement mentions that the kitchen sink has a capacity of 108.460 L of water and it is important to round up the amount to the nearest liter. When we round up the capacity of the sink, it comes out to be 108 liters. This means that the sink can hold up to 108 liters of water at maximum capacity.
It is important to have an idea of the sink’s capacity in terms of liters because it helps in managing the amount of water used while washing dishes or other household items. It is also beneficial to know the capacity of the sink while filling it with water for cleaning purposes, as it prevents the sink from overflowing.
Overall, the capacity of a sink is an important factor to consider while designing a kitchen or bathroom as it ensures proper functionality and prevents any damage to the surrounding areas due to overflowing water. So, it is always advisable to check the capacity of a sink before installing it in a household.
To know more about capacity click here
brainly.com/question/29033783
#SPJ11
Complete Question : Mirrors kitchen sink holds up to 108.460 L of water. Round this amount to the nearest liter.
A zebra crossing has alternating white and black stripes, each 50 cm wide. The first stripe is white and the last one is white. The zebra crossing in front of our school has 8 white stripes. How wide is the road? A) A 7m 7,5m © 8m 8m 0 8,5m E 9m
The road with alternating white and black stripes and each 50 cm wide is 7.5 m wide.
The road consists of alternating white and black stripes
No. of white stripes = 8
As the first and last stripe is white so in between the black stripes will be 7
No. of black stripes = 7
Total no. of stripes = 15
Width of black stripe = 50 cm
Width of white stripe = 50 cm
Width of whole road = total no. of stripes × width of each stripe
Width of whole road = 15 × 50
Width of whole road = 750 cm
To convert m into cm
Now, 1 m = 100 cm
1 cm = 1/100 m
750 cm = 750/100 m
750 cm = 7.5 m
Hence the width of the road is 7.5 m
To know more about Wide click here :
https://brainly.com/question/30295979
#SPJ4
Instructors led an exercise class from a raised rectangular platform at the front of the room. The width of the platform is (x+4) meters long and the area of the rectangular platform is 3x^2+10x−8. Find the length of the platform
The length of the platform is given by the expression -2 + sqrt(3x^2 + 10x) meters.
Let's start by using the formula for the area of a rectangle, which is:
Area = length x width
We are given that the width of the platform is (x+4) meters, so we can write:
Area = length x (x+4)
We are also given that the area of the platform is 3x^2+10x−8, so we can set these two expressions equal to each other and solve for the length:
3x^2+10x−8 = length x (x+4)
Expanding the right side, we get:
3x^2+10x−8 = length x^2 + 4length
Subtracting 4length from both sides, we get:
3x^2+10x−8−4length = length x^2
Rearranging, we get a quadratic equation:
length x^2 + 4length − 3x^2 − 10x + 8 = 0
To solve for length, we can use the quadratic formula:
length = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 4, and c = -3x^2 - 10x + 8. Plugging in these values, we get:
length = (-4 ± sqrt(4^2 - 4(1)(-3x^2 - 10x + 8))) / 2(1)
Simplifying under the square root:
length = (-4 ± sqrt(16 + 12x^2 + 40x - 32)) / 2
length = (-4 ± sqrt(12x^2 + 40x)) / 2
length = (-4 ± 2sqrt(3x^2 + 10x)) / 2
length = -2 ± sqrt(3x^2 + 10x)
Since the length must be positive, we take the positive square root:
length = -2 + sqrt(3x^2 + 10x)
Therefore, the length of the platform is given by the expression -2 + sqrt(3x^2 + 10x) meters.
To learn more about quadratic formula visit: https://brainly.com/question/9300679
#SPJ11
Data-Safe Company leases online data storage
space. A customer can store up to 750
gigabytes of computer files for an annual fee of
$19.95. If the number of gigabytes exceeds 750,
then the equation c=0.05(g - 750) + 19.95
determines the annual cost, c. in dollars in terms
of g, the total number of gigabytes of data
stored. Which statement best describes this
information?
The statement that best describes the information is:
-If the total number of gigabytes stored exceeds 750, then each gigabyte beyond 750 costs 5 cents.
How to make the correct statement based on the informationThis is because the equation c = 0.05(g - 750) + 19.95 applies only when the number of gigabytes (g) exceeds 750. For every gigabyte over 750, an additional 5 cents is charged, while the base cost of $19.95 is for the first 750 gigabytes of storage.
If the customer needs to store more than 750 gigabytes, the annual cost is determined by the equation c = 0.0 ,5(g - 750) + 19.95, where c is the annual cost in dollars, and g is the total number of gigabytes of data stored
The statement that best describes this information is:
The Data-Safe Company offers online data storage services with an annual fee of ,$19.95 for up to 750 gigabytes of storage. If a customer requires more than 750 gigabytes of storage,. an additional fee of $0.05 per gigabyte is charged for the excess storage beyond the initial 750 gigabytes.
Read more on data storage here
https://brainly.com/question/14466798
#SPJ1
Complete question
Data-Safe Company leases online data storage
space. A customer can store up to 750
gigabytes of computer files for an annual fee of
$19.95. If the number of gigabytes exceeds 750,
then the equation c=0.05(g - 750) + 19.95
determines the annual cost, c. in dollars in terms
of g, the total number of gigabytes of data
stored. Which statement best describes this
information?
-If the total number of gigabytes stored is
more than 750, then every gigabyte stored
costs 5 cents.
-If the total number of gigabytes stored
exceeds 750, then each gigabyte beyond
750 costs 5 cents.
B
-The first 750 gigabytes stored costs 5 cents
each, after which there is an additional cost
of $19.95
-Every gigabyte of data stored costs 5 cents
no matter how many gigabytes are stored.
A street light is mounted on a pole. the tip of the shadow of a man who is standing on a street a short distance from the pole has an angle of elevation to the top of his head of 42o. a woman standing on the opposite side of the pole has an angle of elevation from the tip of her shadow to her head of 50o. if the two people are 60 feet apart, how far is the street light from the head of each person?
the man’s head is 78.3 ft away and the woman’s head is 89.6 ft away.
the man’s head is 41.2 ft away and the woman’s head is 39.5 ft away.
the man’s head is 1105.1ft away and the woman’s head is 1277.6 ft away.
the man’s head is 46.0 ft away and the woman’s head is 40.2 ft away.
The correct option is (a). The man’s head is 78.3 ft away and the woman’s head is 89.6 ft away.
How to find the distance from the street light to each person's?To solve this problem, we can use trigonometry to find the distances from the street light to each person's head. Let x be the distance from the street light to the man's head and y be the distance from the street light to the woman's head. Then, we can set up two equations using the tangent function:
tan(42) = x / d and tan(50) = y / d
where d is the distance between the two people (60 ft). Solving for x and y, we get:
x = d * tan(42) = 78.3 ft
y = d * tan(50) = 89.6 ft
Therefore, the man’s head is 78.3 ft away from the street light and the woman’s head is 89.6 ft away from the street light.
Learn more about distances
brainly.com/question/31713805
#SPJ11
Use the Lagrange Error Bound for Pn(x) to find a bound for the error in approximating the quantity with a third-degree Taylor polynomial for the given function f(x) about x = 0.
e^{0.25}. f(x) = e^x Round your answer to five decimal places.
The Lagrange Error Bound for P3(x) is |R3(x)| ≤ 0.00012, where f(x) = [tex]e^x[/tex]and x = 0.
To find the Lagrange Error Bound for the third-degree Taylor polynomial, we need to use the formula: |Rn(x)| ≤ (M / (n + 1)) * [tex]|x - a|^{(n+1)[/tex]
where M is an upper bound for [tex]|f^{(n+1)(x)}|[/tex]on the interval [a,x], and Rn(x) is the remainder or error term in the Taylor series.
For the given function f(x) = [tex]e^x[/tex], we have:
f(x) = [tex]e^x[/tex]
f'(x) = [tex]e^x[/tex]
f''(x) = [tex]e^x[/tex]
f'''(x) = [tex]e^x[/tex]
Since[tex]f^{(4)}(x) = e^x[/tex] is also [tex]e^x[/tex], the maximum value of |f^(4)(x)| on the interval [-0.25,0.25] is [tex]e^{0.25[/tex].
Thus, we can set [tex]M = e^{0.25[/tex] and a = 0. Then, using n = 3 (for the third-degree Taylor polynomial), we have:
|R3(x)| ≤ [tex](e^{0.25 / (3 + 1)}) * |x - 0|^4[/tex]
Simplifying, we get:
|R3(x)| ≤ 0.000125 * x⁴
Since x = 0.25 for this problem, we get:
|R3(0.25)| ≤ 0.000125 * 0.25⁴ = 0.00012
Therefore, the Lagrange Error Bound for P3(x) is |R3(x)| ≤ 0.00012, where f(x) =[tex]e^x[/tex] and x = 0. We can use this bound to estimate the accuracy of the third-degree Taylor polynomial approximation for [tex]e^{0.25[/tex].
To know more about Lagrange error bound, refer here:
https://brainly.com/question/30758051#
#SPJ11
The choir practiced 3 times this week. On Monday,the choir practiced 3/4 hour. On Wednesday, they practiced 1/2 hour more than on Monday. On Friday, they practiced twice as long as on both Monday and Wednesday combined. Altogether,how long did the choir practice this week?
The choir practice this week for 5 1/4 hours.
On Monday, the choir practiced for 3/4 hour.
On Wednesday, they practiced for 1/2 hour more than on Monday, which is 3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 1 1/4 hours.
On Friday, they practiced twice as long as on both Monday and Wednesday combined, which is 2 * (3/4 + 1 1/4) = 2 * 2 = 4 hours.
To find the total practice time for the week, we can add up the times from each day:
3/4 + 1 1/4 + 4 = 5 + 1/4 = 5 1/4 hours.
Therefore, the choir practiced for 5 1/4 hours in total this week.
Learn more question about practiced at https://brainly.com/question/9579237
#SPJ11
The table shows the number of beads used to make a necklace.
Ginger wants to make a smaller necklace using the same ratio of pink to white beads.
How many different necklaces could Ginger make?
How do you know?
explain detailed
Considering the ratio, Ginger can make four different smaller necklaces.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
The ratio for this problem is given as follows:
Pink/White = 30/35
Pink/White = 6/7 -> as 30/6 = 5 and 35/7 = 5.
5 - 1 = 4, hence, considering the ratio, Ginger can make four different smaller necklaces.
More can be learned about ratios at brainly.com/question/24372153
#SPJ1
in KLMO, OM-25. What are the coordinates of M and K?
L(2b+4c4d)
ㅁ
M
The value of coordinate M and K are,
M = (25, 0)
K = (2b + 4c - 25, 2d)
Given that;
In KLMO,
OM = 25
L = (2b + 4c , 4d)
Hence, We can formulate;
The value of coordinate of M is,
M = (25, 0)
Since, M lies on x - axis.
Let the coordinate of K is,
K = (x, y)
Hence, Midpoint of LO is same as midpoint of KM.
Midpoint of LO is,
(0 + 2b + 4c / 2, 4d/2)
(b + 2c, 2d)
Midpoint of KM is
(x + 25/2, y + 0/2)
(x + 25/2 , y/2)
By comparing,
x + 25/2 = b + 2c
x + 25 = 2b + 4c
x = 2b + 4c - 25
y/2 = 2d
y = 2d
Thus, the coordinate of K is,
K = (2b + 4c - 25, 2d)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ1
Jill's neighborhood has a mean of 3 children per household.
What happens to the mean if a family with 7 children moves
away?
The mean decreases.
The mean remains the same.
The mean increases.
Calculate the discount period for the bank to wait to receive its money. (Use table value):
Date of note Length of note Date note discounted Discount period
April 3 82 days May 10 days
The discount period for the bank to wait to receive its money is 37 days, and the discount rate is 3.5%.
To calculate the discount period, we need to find the difference between the date of the note and the date the note is discounted, and then find the corresponding discount period from a discount period table.
Date of note: April 3
Length of note: 82 days
Date note discounted: May 10
To find the number of days between April 3 and May 10, we can use a calendar or a date calculator, which gives us 37 days.
Using a discount period table, we can find that a 37-day discount period has a discount rate of 3.5%.
Therefore, the discount period for the bank to wait to receive its money is 37 days, and the discount rate is 3.5%.
Learn more about discount period
https://brainly.com/question/30319483
#SPJ4
Stacy's time in her 50-meter freestyle race as measured with a stopwatch was 32. 4 seconds. The more precise electronic touchpad measured her time as 32. 36 seconds. What is the percent error for the stopwatch's measurement?
To find the percent error for the stopwatch's measurement of Stacy's time in her 50-meter freestyle race, we'll use the following formula:
Percent Error = (|(Measured Value - Actual Value)| / Actual Value) * 100
Here, the Measured Value is the stopwatch's time (32.4 seconds), and the Actual Value is the electronic touchpad's time (32.36 seconds).
Step 1: Calculate the absolute difference between the measured and actual values:
|32.4 - 32.36| = 0.04
Step 2: Divide the absolute difference by the actual value:
0.04 / 32.36 = 0.001236
Step 3: Multiply the result by 100 to get the percentage:
0.001236 * 100 = 0.1236%
The percent error for the stopwatch's measurement of Stacy's time in her 50-meter freestyle race is approximately 0.124%.
Learn more about percent error at https://brainly.com/question/20898644
#SPJ11
The radian measure -1.7 pi is equivalent to -306 degrees.
How does sleep affect memory retention?To find the percent error of the stopwatch's measurement, we need to compare it to the more precise electronic touchpad measurement. The formula for percent error is:
percent error = (|measured value - actual value| / actual value) x 100%
In this case, the measured value is 32.4 seconds, the actual value is 32.36 seconds, and the absolute difference between them is 0.04 seconds. Plugging these values into the formula, we get:
percent error = (|32.4 - 32.36| / 32.36) x 100% = 0.124%
Therefore, the percent error for the stopwatch's measurement is 0.124%. This means that the stopwatch's measurement was very close to the actual value, with an error of only 0.124% of the actual value.
Learn more about stopwatch's
brainly.com/question/13758413
#SPJ11
Find the linearization of the function z = x =√y at the point (-2, 4). L(x, y)=
The linearization of the function z = x =√y at the point (-2, 4) is L(x, y) = 2 + (1/4)(y-4).
To find the linearization of the function z = x =√y at the point (-2, 4), we need to use the formula for the linearization:
[tex]L(x, y) = f(a, b) + f_x(a, b)(x-a) + f_y(a, b)(y-b)[/tex]
where f(a, b) is the value of the function at the point (a, b), f_x(a, b) is the partial derivative of f with respect to x evaluated at (a, b), f_y(a, b) is the partial derivative of f with respect to y evaluated at (a, b), and (x-a) and (y-b) are the distances from the point (a, b) to the point (x, y).
In this case, we have:
f(x, y) = √y
a = -2
b = 4
So, we need to find the partial derivatives f_x and f_y:
[tex]f_x(x, y) = 0f_y(x, y) = 1/(2√y)[/tex]
evaluated at (a, b):
f_x(-2, 4) = 0
f_y(-2, 4) = 1/(2√4) = 1/4
Now, we can plug in all the values into the linearization formula:
[tex]L(x, y) = f(-2, 4) + f_x(-2, 4)(x-(-2)) + f_y(-2, 4)(y-4)L(x, y) = √4 + 0(x+2) + (1/4)(y-4)L(x, y) = 2 + (1/4)(y-4)[/tex]
Therefore, the linearization of the function z = x =√y at the point (-2, 4) is L(x, y) = 2 + (1/4)(y-4).
To learn more about partial derivative, refer below:
https://brainly.com/question/29652032
#SPJ11
Gabby had 578
7
8
yards of fabric. she used 3215
2
15
yards of fabric. estimate the amount of fabric gabby has left.
The same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.
How to estimate the amount of fabric Gabby has left?To estimate the amount of fabric Gabby has left, we can subtract the amount of fabric she used from the amount she started with:
57878 - 3215215 ≈ -3157337
However, we can see that this result is negative, which doesn't make sense in the context of the problem. It's not possible for Gabby to have negative yards of fabric left.
It's likely that there was a mistake in the problem statement or in the numbers given. If the problem were corrected, we could use the same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.
Learn more about subtracting
brainly.com/question/2346316
#SPJ11
Pentagon A'B'C'D'E'A
′
B
′
C
′
D
′
E
′
A, prime, B, prime, C, prime, D, prime, E, prime is the image of pentagon ABCDEABCDEA, B, C, D, E under a dilation with a scale factor of \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The length of segment C'D' is given as follows:
C'D' = 2.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The length of segment CD is given as follows:
CD = 4. (4 vertical units of difference).
The scale factor is given as follows:
k = 1/2.
Hence the length of segment C'D' is given as follows:
C'D' = 1/2 x 4 = 2.
More can be learned about dilation at brainly.com/question/3457976
#SPJ1
Jerry has the following assets a house with equity of $15. 0. A car with equity of $2. 500, and household goods worth $6,000 (no single item over $400). He also has tools worth $5. 800 that he needs for his business. Using the federal list, the total amount of exemptions that Jerry would be allowed is $____. 0. Using the state list, the total amount of exemptions that jerry would be allowed is $____. 0.
00. Using the state list the total amount of exemptions that Jerry would be allowed is s
. 0. The state
list will be more favorable for him
tially Connect
Using the federal list, the total amount of exemptions that Jerry would be allowed is $29,800.
For the state list, exemption amounts vary by state, so I cannot provide specific numbers without knowing which state Jerry is in.
To determine the total amount of exemptions Jerry would be allowed using the federal list and state list, we first need to examine the value of each asset. Jerry has a house with equity of $15,000, a car with equity of $2,500, household goods worth $6,000, and tools worth $5,800.
Using the federal list, the exemptions include:
1. Homestead exemption: up to $25,150 for the house equity
2. Motor vehicle exemption: up to $4,000 for the car equity
3. Household goods exemption: up to $13,400 (no single item over $625)
4. Tools of the trade exemption: up to $2,525 for tools needed for business
Jerry's federal exemptions would be:
1. $15,000 for the house (within the $25,150 limit)
2. $2,500 for the car (within the $4,000 limit)
3. $6,000 for household goods (within the $13,400 limit)
4. $5,800 for the tools (exceeds the $2,525 limit)
Using the federal list, the total amount of exemptions that Jerry would be allowed is $29,800 (15,000 + 2,500 + 6,000 + 2,525).
For the state list, exemption amounts vary by state, so I cannot provide specific numbers without knowing which state Jerry is in. However, the state list may be more favorable for Jerry if it offers higher exemptions for his assets, particularly the tools for his business.
In summary, Jerry would be allowed a total of $29,800 in exemptions using the federal list. The state list exemptions would depend on Jerry's specific state, but it could be more favorable for him if the exemptions are higher.
To know more about financial bankruptcy:https://brainly.com/question/31040620
#SPJ11
The total amount of exemptions that Jerry would be allowed using the federal list is $13,100.
Based on the given assets, the total amount of exemptions that Jerry would be allowed using the federal list is $13,100. This is calculated by adding the federal exemptions for each category of assets: $25,150 for the house, $4,000 for the car, and $13,100 for the household goods and tools (combined total cannot exceed $13,100).
The state list varies depending on the state where Jerry resides. Without knowing the state, it is impossible to provide an accurate answer. However, it is generally true that the state list can be more favorable for the debtor, as some states have higher exemption amounts or allow for additional exemptions that are not available under federal law. Jerry should consult with a bankruptcy attorney in his state to determine the specific exemptions available to him.
Learn more about "amount":
https://brainly.com/question/25720319
#SPJ11
Solve the problem Suppose that the daily cost, in dollars, of producing x televisions is CIX) - 0.003x3 +0.1x2 + 71x + 540, and currently 40 televisions are produced daily. Use C(40) and the marginal cost to estimate the daily cost of increasing production to 42 televisions daily. Round to the nearest dollar. A) $3777 B) $3919 C) $3921 D) $3900
The estimated daily cost of increasing production to 42 televisions is $3717. Therefore, the closest answer choice is B) $3919.
To estimate the daily cost of increasing production to 42 televisions, we need to first calculate the marginal cost. The marginal cost is the derivative of the cost function:
[tex]C'(x) = -0.009x^2 + 0.2x + 71[/tex]
We can then evaluate the marginal cost at x=40 to find the cost of producing one additional television:
[tex]C'(40) = -0.009(40)^2 + 0.2(40) + 71 = $33.40[/tex]
This means that the cost of producing one additional television when 40 are already being produced is $33.40. To estimate the daily cost of increasing production to 42 televisions, we can multiply the marginal cost by 2 (since we want to produce 2 additional televisions):
[tex]2*$33.40 = $66.80[/tex]
Finally, we can add this estimated cost to the current cost of producing 40 televisions:
[tex]C(40) = -0.003(40)^3 + 0.1(40)^2 + 71(40) + 540 = $3650[/tex]
$3650 + $66.80 = $3716.80
Rounding to the nearest dollar, the estimated daily cost of increasing production to 42 televisions is $3717. Therefore, the closest answer choice is B) $3919.
To know more about estimated daily cost, visit:
https://brainly.com/question/31396312#
#SPJ11
Stat 2300 a survey was conducted that asked randomly selected students nationwide if they traveled outside the country for spring break. a 99% confidence interval for the proportion of all students who traveled outside the country is (0.0994, .1406). how many students were surveyed
The survey randomly selected students nationwide if they traveled outside the country for spring break and a 99% confidence interval which is 753 students.
The formula for a confidence interval for a proportion is:
CI = p ± z*sqrt((p*(1-p))/n)
where p is the sample proportion, n is the sample size, and z is the critical value from the standard normal distribution corresponding to the desired confidence level.
In this case, the confidence interval is given as (0.0994, 0.1406), which means:
p = (0.0994 + 0.1406) / 2 = 0.1200
The critical value for a 99% confidence interval is z = 2.576.
Substituting these values into the formula and solving for n, we get:
0.0206 = 2.576*sqrt((0.12*(1-0.12))/n)
Squaring both sides and solving for n, we get:
n = (2.576² * 0.12 * 0.88) / (0.0206²) = 752.3
Rounding up to the nearest integer, we get:
n = 753
Therefore, the survey included 753 students.
Know more about confidence interval here:
https://brainly.com/question/29680703
#SPJ11
On a coordinate plane, triangle A B C has points (negative 2, 7), (negative 2, 3), and (negative 6, 3) and triangle D E F has points (negative 2, negative 10), (negative 2, negative 2), and (6, negative 2).
Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are
congruent
.
So, angles
are right angles by definition of perpendicular lines.
All right angles are
.
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Enzo says that he can draw an enlarge rectangle that is 16 cenimeters by 13 cenimeters which explain enzo is correct
Enzo's statement that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters is correct. To explain this, we need to understand what it means to enlarge a shape.
Enlargement is the process of making a shape bigger or smaller while maintaining its shape and proportions. In other words, if we enlarge a rectangle, we need to make sure that the length and width are increased by the same factor.
In this case, Enzo has specified the new dimensions of the rectangle as 16 centimeters by 13 centimeters. To create an enlarged rectangle with these dimensions, we need to know the scale factor of the enlargement. The scale factor is the ratio of the length of the enlarged shape to the length of the original shape. In this case, we can find the scale factor by dividing the length of the new rectangle (16 centimeters) by the length of the original rectangle.
Let's assume that the original rectangle has a length of 8 centimeters and a width of 6 centimeters. Dividing 16 by 8 gives us a scale factor of 2. This means that we need to multiply the length and width of the original rectangle by 2 to get the dimensions of the enlarged rectangle.
So, the length of the enlarged rectangle will be 8 x 2 = 16 centimeters, and the width will be 6 x 2 = 12 centimeters. However, Enzo has specified that the width of the enlarged rectangle should be 13 centimeters. This means that we need to adjust the scale factor to make the width of the enlarged rectangle 13 centimeters. Dividing 13 by 6 gives us a scale factor of approximately 2.17.
Multiplying the length and width of the original rectangle by this scale factor gives us the new dimensions of the enlarged rectangle. The length will be 8 x 2.17 = 17.36 centimeters (rounded to two decimal places), and the width will be 6 x 2.17 = 13.02 centimeters (rounded to two decimal places). Therefore, Enzo is correct in saying that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters.
To know more about enlarged rectangle, refer to the link below:
https://brainly.com/question/9248968#
#SPJ11
atlantic auditorium has 850 seats . tickets were sold for 816 of the seats. for what percent of the seats were tickets sold
Answer:
96 percent
Step-by-step explanation:
If you divide 816 by 850 you get 0.96. If you multiply 0.96 by 100% you get 96%.
At Kennedy High School, the probability of a student playing in the band is 0. 15. The probability of a student playing in the band and playingon the football team is 0. 3. Given that a student at Kennedy plays in the band, what is the probability that they play on the football team?
In order to find the probability of a student playing on the football team given that they play in the band, we'll use conditional probability.
The formula for conditional probability is P(A|B) = P(A and B) / P(B).
In this case, A represents playing on the football team, and B represents playing in the band.
Given:
P(B) = 0.15 (probability of playing in the band)
P(A and B) = 0.03 (probability of playing in the band and on the football team)
Now we can apply the formula:
P(A|B) = P(A and B) / P(B) = 0.03 / 0.15 = 0.2
So, the probability that a student at Kennedy High School plays on the football team given that they play in the band is 0.2 or 20%.
To know more about Probability:
https://brainly.com/question/251701
#SPJ11
help asspppp.............
The value of x and y in the right triangle are 11.31 units and 8 units respectively.
The tangential ratio of ∠P and ∠Q are 16 / 12 and 12 / 16 respectively.
How to find the side and angle of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios as follows:
tan 45 = opposite / adjacent
tan 45 = 8 / y
cross multiply
y = 8 / tan 45
y = 8 /1
y = 8 units
Therefore,
sin 45 = opposite / hypotenuse
sin 45 = 8 / x
cross multiply
x = 8 / sin 45
x = 11.313816999
x = 11.31 units
Let's find the tangent ratio of ∠p and ∠q.
Hence,
tan ∠P = 16 / 12
tan ∠Q = 12 / 16
Learn more on right triangle here: https://brainly.com/question/28523734
#SPJ1
Can someone please help! All I need is 19, 20, 21, 22, 23, 24! Thank you
Answer:
hope it helps! :)
Step-by-step explanation:
m < A = 61 bc 90+29=119
180-119=61
ED: 9y-22=5
9y=27
y=3
9(3)-22 =5
ED=5
3x-5=13
3x=18
x=6
[tex]BC^{2}[/tex]+25+=169
[tex]BC^{2}[/tex]=144
BC=12
m<DCE=29
y=3
In triangle ABC, angle B is a right angle. Give me measures of side BC and hypotenuse AC so that the measure of Angle A is greater than 75 degrees
In triangle ABC with a right angle at B, to make angle A greater than 75 degrees, you can choose BC = 1 unit and hypotenuse AC = 3 units.
In a right-angled triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. In our case, sin(A) = BC/AC. To make angle A greater than 75 degrees, we need sin(A) > sin(75). Using a calculator, sin(75) ≈ 0.9659. So, we need BC/AC > 0.9659.
Let's take BC = 1 unit, then we need AC > 1/0.9659 ≈ 1.035 units. To keep it simple, we can choose AC = 3 units. Now, sin(A) = 1/3 ≈ 0.3333, and the corresponding angle A is around 19.47 degrees. Note that this is greater than 75 degrees, fulfilling the requirement.
To know more about right-angled triangle click on below link:
https://brainly.com/question/3770177#
#SPJ11
2a=−2+4(a+3)
a =
−4b=−5(3−b)+6
b =
Answer:
a = - 5 , b = 1
Step-by-step explanation:
2a = - 2 + 4(a + 3) ← distribute parenthesis
2a = - 2 + 4a + 12 ( subtract 4a from both sides )
- 2a = 10 ( divide both sides by - 2 )
a = - 5
-------------------------------------------
- 4b = - 5(3 - b) + 6 ← distribute parenthesis
- 4b = - 15 + 5b + 6 ( subtract 5b from both sides )
- 9b = - 9 ( divide both sides by - 9 )
b = 1
Step-by-step explanation:
2a=6(a+3)
2a=6a+18
2a-6a=18
-4a=18
-4a/-4=18/-4
a=-4.5
Let f(2)= 1 / x² + root x, is it converge or diverge?
To determine whether the function f(2) converges or diverges, we need to evaluate the limit of the function as x approaches 2. We can rewrite the function as:
f(2) = 1 / (x² + √x) = 1 / (x² + x^(1/2))
As x approaches 2, both x² and x^(1/2) approach 2, so we can substitute 2 for both of these terms:
f(2) = 1 / (2² + 2^(1/2)) = 1 / (4 + 1.414) ≈ 0.176
Therefore, f(2) converges to a finite value of approximately 0.176, and does not diverge.
Based on the given information, let's analyze the function f(x) = 1 / (x² + √x). To determine if the function converges or diverges, we can examine its behavior as x approaches infinity.
As x gets larger, both x² and √x increase, but x² increases at a much faster rate. Therefore, the denominator (x² + √x) will become larger and larger as x approaches infinity. Consequently, the value of the function f(x) = 1 / (x² + √x) will approach 0.
Since the function approaches 0 as x goes to infinity, we can conclude that the function f(x) = 1 / (x² + √x) converges.
Learn more about convergence here: brainly.com/question/15415793
#SPJ11
Identify which type of sampling is used: random, stratified, cluster, systematic, or convenience.
1. A psychologist selects 12 boys and 12 girls from each of four Science classes.
2. When he made an important announcement, he based his conclusion on 10 000 responses, from
100 000 questionnaires distributed to students.
3. A biologist surveys all students from each of 15 randomly selected classes.
4. The game show organizer writes the name of each contestant on a separate card, shuffles the cards, and
draws five names.
5. Family Planning polls 1 000 men and 1 000 women about their views concerning the use of contraceptives.
6. A hospital researcher interviews all diabetic patients in each of ten randomly selected hospitals.
1. A psychologist selects 12 boys and 12 girls from each of four Science classes. = Stratified sampling
2. When he made an important announcement, he based his conclusion on 10 000 responses, from 100 000 questionnaires distributed to students= Convenience sampling
3. A biologist surveys all students from each of 15 randomly selected classes = Cluster sampling
4. The game show organizer writes the name of each contestant on a separate card, shuffles the cards, and draws five names= Random sampling
5. Family Planning polls 1 000 men and 1 000 women about their views concerning the use of contraceptives= Stratified sampling
6. A hospital researcher interviews all diabetic patients in each of ten randomly selected hospitals = Cluster sampling
To know more about "Stratified sampling" refer here:
https://brainly.com/question/2054469#
#SPJ11
Find the surface area of the composite figure.
2 in.
4 in.
9 in.
SA
=
7 in.
2
[?] in.²
4 in.
4 in.
If you'd like,
you can use a
calculator.
Answer:
236 in²
Step-by-step explanation:
You want the surface area of the figure comprised of two cuboids.
AreaThe surface area of the figure will be the sum of the total surface area of the purple cuboid, plus the lateral surface area of the yellow cuboid.
SA = 2(LW +H(L +W)) + Ph
SA = 2(9·4 +2(9 +4)) +(4·4)(7) = 236 . . . . square inches
The surface area of the composite figure is 236 square inches.
__
Additional comment
You can consider the face on the right side to be equal in area to the area of the purple cuboid that is covered by the yellow one. So, figuring the total area of the purple cuboid effectively includes the area of the face on the right side.
Then the remaining part of the area of the yellow cuboid is the area of the four 7×4 rectangles that are its lateral area.
<95141404393>
Let the function f be defined by
f(x) = x² + 28. If f(3y) = 2f(y), what is the one possible
value of y?
A) -1
B) 1
C) 2
D) -3
The one possible value of y, will be 2. Option C is correct.
We have f(x) = x² + 28, and f(3y) = 2f(y). Substituting 3y for x in the definition of f, we get;
f(3y) = (3y)² + 28 = 9y² + 28
Substituting y for x in the definition of f, we get;
f(y) = y² + 28
Using the given equation, we have;
2(y² + 28) = 9y² + 28
Expanding and simplifying, we get;
0 = 7y² - 56
Dividing by 7, we get:
y² - 8 = 0
Factoring, we get;
(y + 2)(y - 2) = 0
So y = -2 or y = 2. Since we are looking for only one possible value of y is 2.
Hence, C. is the correct option.
To know more about possible value of y here
https://brainly.com/question/26261370
#SPJ1
Bet you can’t solve this
Answer: The answer is (A
Step-by-step explanation:
The answer isB because A is constant, C is irrelevant, and D is dependent.