Answer:
64.14
Step-by-step explanation:
Reading the passage I see that you have to multiply then divide
The surface area of the larger solid is, 171.7 mm²
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The volumes of two similar solids are 857.5 mm³ and 540 mm³.
And, The surface area of the smaller solid is 108 mm².l
Now, Let us assume that;
The surface area of the larger solid is, x
Hence, We get;
857.5 / x = 540 / 108
Solve for x as;
857.5 x 108 = 540 x
92,718 = 540x
x = 171.7 mm²
Thus, The surface area of the larger solid is, 171.7 mm²
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The radius of a cylindrical water tank is 6 ft, and its height is 16 ft. Helpppppp I’m running out of time
What is the volume of the tank?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6 ft
16 ft
0
ft
Answer:
V ≈ 1809 ft^3
Step-by-step explanation:
Given:
r (radius) = 6ft
h (height) = 16ft
π = 3,14
Find: V (volume) - ?
[tex]v = \pi {r }^{2} \times h[/tex]
[tex]v = 3.14 \times {6}^{2} \times 16 ≈1809 \: {ft}^{3} [/tex]
What is the equation of the line passing through the point (-3,-4) and parallel to the x-axis?
The equation of the line passing through the point (-3,-4) and parallel to the x-axis is y = -4.
What is the equation of the line passing through the point (-3,-4) and parallel to the x-axis?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept
Given that; the line passing through the point (-3,-4) and parallel to the x-axis.
A line that is parallel to the x-axis has a slope of 0, because the y-coordinate of any point on the line does not change as the x-coordinate varies.
Hence;
The equation of the line passing through the point (-3,-4) and parallel to the x-axis can be written in the form y = b, where b is a constant.
To determine the value of b, we substitute the coordinates of the given point (-3,-4) into the equation y = b:
-4 = b
Note that: y = b, where b is a constant.
y = -4
Therefore, the equation of the line y = -4.
Option C) y = -4 is the correct answer.
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Round-off 108.76 to the nearest tens.
Answer:
108
You rounded to the nearest tens place.
The 0 in the tens place rounds up to 1
Step-by-step explanation: because the digit to the right in the ones place is 8.
110
When the digit to the right is 5 or greater we round away from 0.
108 was rounded up and away from zero to 110
Solve the Pythagorean theorem for a, assuming a, b, and c are positive.
Answer:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
The correct answer is D.
Victor jumped 6 feet high and then 2 more yards. How many yards did he jump in all?
As per the given variables, Victor jumped a total of 4 yards.
Total yards jumped = 6 feet high
Additional yards = 2
A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.
Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.
There are 3 feet in a yard, therefore -
6 feet = 6/3
= 2
Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.
Calculating, the total distance Victor jumped in yards -
= 2 + 2
= 4
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solve for x in the following diagram
The measure of the side length x is 15.04.
What is the measure of the side length x?The figure in the image is a right triangle.
Angle θ = 43 degrees
Adjacent to angle θ = 11
Hypotenuse = x
To determine the measure of the side length x, we use the trigonometric ratio.
Note that: cosine = adjacent / hypotenuse
Plug in the values:
cos( 43° ) = 11 / x
Solve for x
x = 11 / cos( 43° )
x = 15.04
Therefore, the value of x is 15.04 units.
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Anna wants to borrow $15,000 to buy a used sail boat. After looking at her financial situation, she realizes that she can only afford monthly payments of $300. The bank is offering financing at 6.1%. For how long will Anna need to finance the boat to stay within her monthly payment?
Answer:
47 months
Step-by-step explanation:
find 6.1% of 15k then divide that by 300
6.1% = 915
15,000 - 915 = 14085
14085 divided by 300 is 46.95 then rounded is 47
Maggie spent $16 on rock climbing. This included a $6 charge for climbing shoes and a $2.50 charge per hour she climbed. If h represents the number of hours she climbed for, write an equation that can be solved to find the number of hours she spent rock climbing.
Answer:
16 = 6+2.5h
Step-by-step explanation:
The total cost is 16 dollars. She spends 6 dollars for shoes and 2.50 per hour.
16 = 6+2.5h
To solve, subtract 6 from each side
16-6 = 6+2.5h-6
10 = 2.5h
Divide each side by 2.5
10/2.5 = 2.5h/2.5
4 =h
She can climb for 4 hours.
A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one additional vertical segment (to separate the regions) are made up of fencing, as shown below. A rectangular area consisting of two separated regions. A rectangular area consisting of two separated regions. If the farmer has 162 feet of fencing, what are the dimensions of the region which enclose the maximal area?
The dimensions of the region which enclose the maximal area will be 40.5 feet in length by width 27 feet.
How to find the dimensions of the areaGiven that the farmer has 162 feet of fencing, we will have:
2L + 3W = 162 feet
2L = 162 - 3W
L = 162 - 3W\2
L = 81 -3/2W Eqn 1
Given that the area of a rectangle is A = L × W we will call this equation 2
Now we substitute the first equation in the second one to give
A = (81 -3/2W) × W
A = 81W -3/2W²
When we take the derivative W will equal
81/3 = 27
Now we substitute in the second equation, we will have:
= 81 - 3/2(27)
= 81 - 40.5
= 40.5.
So the length will be 40.5 feet while the width will be 27 feet.
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5. Complete the following table. (HINT: determine the reference angle and the quadrant of each angle.)
The given angles are 7π/4, 10π/3 & 510°.
Calculations for 7π/4(4th Quadarant)
sin(7π/4) = -1/√2
cos(7π/4) = 1/√2
tan(7π/4) = -1
cosec(7π/4) = -√2
cot(7π/4) = -1
sec(7π/4) = √2
Calculations for 10π/3(3rd Quadarant)
sin( 10π/3) = -√3/2
cos(10π/3) = -1/2
tan(10π/3) = √3
cosec(10π/3) = - 2/√3
cot(10π/3) = 1/√3
sec(10π/3) = -2
Calculations for 510°(2nd Quadarant)
sin( 510°) = 1/2
cos(510°) = -√3/2
tan(510°) = -1/√3
cosec(510°) = 2
cot(510°) = -√3
sec(510°) = -2/√3
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< Question 6 of 6
Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x-axis.
0
y=x²³ +b
Assume a = 2 and b = 2.
(Use symbolic notation and fractions where needed.)
volume:
Answer:
Step-by-step explanation: 5
A state's labor department conducted a study regarding the mean yearly earnings per household in the state. The department randomly selected 533 households in the state to be the sample. The population mean is $49,829.00. The department also found the standard deviation to be $933.00. What is the approximate standard error of the mean, assuming a 99.7% confidence level? 1.75 40.41 17.45 23.09
The approximate standard error of the mean, assuming a 99.7% confidence level is 40.41.
Given population mean (µ) = $49,829
population standard deviation (σ) = $933
the randomly selected households (n) = 533 households
the confidence level = 99.7%
To find the standard error of the mean at a 99.7% of confidence level, we will substitute the above values in the below equation,
Standard error of the mean = σ/√n = 933/√533 ≅ 40.41
From the above analysis, we can conclude that the standard error of the mean at a 99.7% confidence level is 40.41.
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Answer:
40.41
Step-by-step explanation:
Plato/Edmentum
The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.
Length= 4x Width= x+3 Area=352
Answer:
11 in and 32 in-------------------------
Given a rectangle with dimensions of:
l = 4x in, w = x + 3 in,And area of A = 352 in²Use area equation and find the value of x:
A = lw352 = 4x(x + 3)88 = x(x + 3)88 = x² + 3xx² + 3x - 88 = 0x² + 11x - 8x - 88 = 0x(x + 11) - 8(x + 11) = 0(x - 8)(x + 11) = 0x = 8 or x = - 11The second root is ignored as being negative.
The dimensions of the rectangle are:
l = 4*8 = 32 inw = 8 + 3 = 11 inHow to write 1/4 (x-12) in words
Answer:
To write 1/4 (x - 12) in words, you would say "one-fourth of the quantity obtained by subtracting 12 from x."
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects.
Before treatment, 23 subjects had a mean wake time of 105.0 min. After treatment, the 23 subjects had a mean wake
time of 82.1 min and a standard deviation of 23.3 min. Assume that the 23 sample values appear to be from a
normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a
population with drug treatments. What does the result suggest about the mean wake time of 105.0 min before
the treatment? Does the drug appear to be effective?
The absence of the value 105.0 from the interval shows that the medication therapy significantly reduces wake time.
what is mean ?In statistics, mean is a measure of central tendency that represents the average value of a set of data. It is commonly referred to as the "arithmetic mean" or simply the "average." To calculate the mean, you add up all the values in the data set and divide the total by the number of values. For example, if you have the following data set: 2, 5, 8, 9, 12, the mean would be calculated as follows:(2 + 5 + 8 + 9 + 12) ÷ 5 = 7.2 . So the mean of this data set is 7.2. The mean is a useful measure of central tendency because it takes into account all the values in the data set and provides a single representative value that can be used to describe the overall characteristics of the data.
given
For a population receiving pharmacological treatments, the mean wake time was estimated with a 95% confidence interval.
where t/2 is the crucial value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%, and x is the sample mean, s is the sample standard deviation, n is the sample size.
When we enter the provided values, we obtain:
s = 23.3
n = 23
t0.025,22 = 2.074
The mean wake time estimate with a 95% confidence interval for a population receiving medication is thus:
82.1 ± 2.074 * (23.3/√23)
which is equivalent to:
(71.4, 92.8)
The absence of the value 105.0 from the interval shows that the medication therapy significantly reduces wake time.
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PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT
A formula for y in terms of x and c is y = c⁵√x
How to determine the expressionIn inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.
From the information given, we have that;
y ∝1/√x
Now, let's find the constant value, k, we have;
y√x = k
We have that their values are;
y = c⁴, x = c²
Substitute the values, we have;
c⁴√c² = k
k = c⁵
Now, substitute the values
y = k√x
y = c⁵√x
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Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure.
A(-7,-2)A(−7,−2), B(-3,1)B(−3,1), C(-3,4)C(−3,4), D(5,4)D(5,4), E(5,-6)E(5,−6), F(-3,-6)F(−3,−6), G(-3, -2)G(−3,−2)
The total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) has been found as 51 square units.
What is a Graph?A graph is described as a mathematical representation of a network and it describes the relationship between lines and points.
The first step is to divide the figure is into two rectangles and a triangle.
we notice that the points B, C, E, and F will form a rectangle with base BC and height of 7 units.
We also notice that the points A, D, and G form a rectangle with base AG and height 5 units.
we notice that points C, D, and E form a triangle with base CE and height 4 units.
we notice that the length of BC is 4 - 4 = 0, therefore the area of the rectangle with base BC is 0.
The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.
In conclusion, the total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) is 45 + 6 = 51 square units.
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What is the difference between a formal and informal proof?
A) A formal proof is much shorter, whereas an informal proof is longer.
B) A formal proof provides the reasons for steps, whereas an informal proof does not.
C) A formal proof uses equations, whereas an informal proof only uses text.
D) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
Answer: D
Step-by-step explanation: formal proofs deeply uses tables or a list of steps where informal proofs are proven in paragraphs.
Assume that women's heights are normally distributed with a mean given by μ = 63.6 in, and a standard deviation given by a = 2.5 in. Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that her height is between 62.9 in and 63.9 in.
The probability is approximately
(Round to four decimal places as needed.)
The probability that the woman's height is between 62.9 in and 63.9 in is 0.1580
Calculating the probability of values from the the z-scoresFrom the question, we have the following parameters that can be used in our computation:
Mean = 63.6Standard deviation = 2.5Age = between 62.9 and 63.9So, the z-scores are
z = (62.9 - 63.6)/2.5 = -0.28
z = (63.9 - 63.6)/2.5 = 0.12
i.e. between a z-score of -0.28 and a z-score of 0.12
This is represented as
Probability = (-0.28 < z < 0.12)
Using a graphing calculator, we have
Probability = 0.1580
Hence, the probability is 0.1580
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what is the area of a parallelogram if base is 1 1/4 mi and the heigh is 3/4 mi.
Answer:
Step-by-step explanation:
A=4
b Base
1
h Height
4
b
h
a
h
h
b
a
a
P
A
b
Solution
A=bh=1·4=4 hope helps byee
Malik opens a savings account with an initial deposit of $2500. The account earns 2.1% annual interest compounded quarterly? Round to the nearest cent.
Answer:
Step-by-step explanation:
I’m not sure how to do the graph and it’s not letting me advance :(
Y=85.468x+ 985.029
R=0.988
To plot the above linear regression on a graph, follow the procedures outlined below.
What are your options?You may use the following steps to plot the supplied data on a graph:
1) Create an x- and y-axis coordinate plane.
2) Label the x-axis with the numbers 1 through 13 (to represent the 13 data points).
3) Label the y-axis with a suitable scale that encompasses the data's greatest and lowest values (e.g., 0 to 2200 with 200 increments).
4) For each point, try to find the associated x -value on the x-axis and the corresponding y-value on the y- axis, and then place a point at the intersection of the two values.
For example, if the first point is (1, 1000), you would identify the x-axis point labeled "1" and the y-axis point labeled "1000" and add a point at it intersection.
5) based on the pattern in the data, connect the points of the coordinares using a line or a curve. Because the data appears to increase gradually with some fluctuations in this case, a line connecting the points would be appropriate.
After plotting the data on the graph, you may study the pattern and draw inferences about the data's trend over time. Please see the attached sample graph.
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Help please Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?
A)Inductive Reasoning
B)Deductive Reasoning
If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.
Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.
The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.
In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.
Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.
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An angle measures 132 . What is the measure of its supplement
Answer: 48
Step-by-step explanation:
180-132=48
Answer:
48
Step-by-step explanation:
angle = 132
supplementary angle = 180
measure of supplementary angle = 180 - 132 = 48
thus the measure of the supplement is 48
hope you got your answer.
What is the unknown value that makes this statement true:
25% of _ is 30
Answer:
120
Step-by-step explanation:
25% is equal to 1/4. If you divide 30 by 1/4 you get 120. To check this, if you multiply 120 by 1/4 you get 30.
Answer: 120
Step-by-step explanation:
In order to find the missing value, divide the provided value by the percentage as follows:
30 / 0.25 = 120
This can be double-checked by plugging the number into the statement afterwards: 25% of 120 is 30, which is true
if the area of the triangle is 8 15/16ths and the base is 5 1/2, what is the height
Answer:
h=.34
Step-by-step explanation:
1/2(bh)=A
1/2(5.5*h)=8.9375
5.5h=1.875
h=.34
Drag numbers to the table so it shows a proportional relationship between x and y.
The table is completed as follows:
x = 0.6, y = 6.x = 1.8, y = 18.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
From the first row, when x = 0.2, y = 2, hence the constant is given as follows:
k = y/x
k = 2/0.2
k = 10.
Hence the equation is:
y = 10x.
Then the numeric values are given as follows:
x = 0.6, y = 10 x 0.6 = 6.x = 1.8, y = 10 x 1.8 = 18.More can be learned about proportional relationships at https://brainly.com/question/7723640
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real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged," meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
Real-estate agent tested the effect of staging on home sale prices. Out of 10 comparable homes, 5 were staged. Staged homes sold for $15k more on average, with no skewness or outliers.
Based on the information given, the real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home.
The hypothesis is that empty homes sell for lower prices than staged homes. The agent randomly assigned 5 empty homes to be staged and obtained a list of 10 comparable homes.
The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. There was no strong skewness or outliers in the dot plots of the two samples.
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What remainder is found when dividing 2x^2+7x-4 by x-3?
The remainder that is found when dividing 2x^2+7x-4 by x-3 is 35
Calculating the remainder that is found when dividing 2x^2+7x-4 by x-3?From the question, we have the following parameters that can be used in our computation:
Dividing 2x^2+7x-4 by x-3
This means that
Dividend = 2x^2 + 7x - 4
Divisor = x - 3
Set the divisor to 0
So, we have
x - 3 = 0
Evaluate
x = 3
Substitute 3 for x in the dividend equation, so, we have the following representation
Remainder = 2(3)^2 + 7(3) - 4
Evaluate
Remainder = 35
Hence, teh remainder is 35
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Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.