The surface area of the right triangular prism is : 20,568 [tex]in^{2}[/tex]
using this formula ;SA = bh + (s1 + s2 + s3)*l
Meaning of a triangular prismA traingular prisms is a prism that has triangles as its base. It has two triangles which are called the bases and three rectangles called the lateral faces.
Given data:
where; SA means the surface area
b = base = 24 inh = height = 12 ins1 = side one = 13 s2 = side two = 13 ins3 = side three = 24 inl = length = 5 inTherefore:
SA = 24*12 + ( 13 * 13 * 24 ) * 5
SA = 288 + ( 4056) * 5
SA = 288 + 20280
SA = 20,568 [tex]in^{2}[/tex]
In conclusion, the surface area of the right triangular prisms is 20,568 [tex]in^{2}[/tex]
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Answer:
20,568..............................
m+ 7 = 3 + m+4
A. m =1/4
B. m =-7
C. no solution
D. infinite solutions
Answer:
D. infinite solutionsStep-by-step explanation:
Given equation
m + 7 = 3 + m + 4Simplify it to get
m + 7 = m + 7We have both sides equal, if we simplify further it will result in correct equation
0 = 0Regardless the value of m, the equation remains correct. It means it has infinite solutions
Correct choice is D
Both sides are equal equation has infinite solutions
Option DPlease please help, I will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.
A. 108°
B. 36°
C. 72°
Answer: l08
Step-by-step explanation: It's becuase 36 x 3 is 108
What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.
The function g(x) = x² - 10x + 16 is a quadratic function whose vertex is a minimum, and the minimum value for g(x) = x² - 10x + 16 is -9
How to determine the minimum value?The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
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Which of the three situations given below is best modeled by an exponential function?
I. A bacteria culture doubles in size every day.
II. A plant grows by 1 inch every 4 days.
III. The population of a town declines by 5% every 3 years.
I. The bacteria culture doubles in size every. day
6/25 simplest form explain please on how to do ittt
Answer:
0.24
Step-by-step explanation:
6 divided by 25 = 0.24
PLEASE HELP!! 50 POINTS!! If you're not going to help, please don't answer.
Part A
A geometric sequence is where the terms increase by the same ratio.
Example:
7, 14, 28, 56, ...
We start at 7 and double each term to get the next term. The common ratio is 2.
============================================================
Part B
The next step is to subtract the two equations straight down. This will cancel the vast majority of the terms, and allow to solve for [tex]S_n[/tex] to get a fairly tidy formula. Refer to part C for more info.
============================================================
Part C
[tex]S_n = a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\\\\rS_n = a_1r + a_1r^2 + \ldots + a_1r^{n-1} + a_1r^n\\\\rS_n - S_n = \left(a_1r + a_1r^2 + \ldots + a_1r^{n-1}+a_1r^n\right)-\left(a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\right)\\\\S_n(r - 1) = a_1r^n - a_1\\\\S_n = \frac{a_1r^n - a_1}{r-1}\\\\S_n = \frac{-a_1(r^n - 1)}{-(-r+1)}\\\\S_n = \frac{a_1(1-r^n)}{1-r}\\\\[/tex]
For more information about the canceling going on from step 3 to step 4, see the attachment below.
A basketball team visited a store. There are 12 team members in all. Each team member bought 2 wristbands and 1 headband. Let w
represent the cost of a wristband and h represent the cost of a headband.
Which two expressions represent the total amount of money spent by the team?
A. 12w + 12h
B. 12w + 24h
C. 24w + 12h
D. 12 (2h+w)
E. 12(2w + h)
what type of bias can occur
survey question “how many words per minute can you read?”
People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.
The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?
The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%
One standard deviation above the mean
1 std above mean = M + d = 43.8 + 5.1 = 48.9
One standard deviation below the mean1 std below the mean, = M - d = 43.8 - 5.1 = 38.7
Probability of normal distributionThe probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%
Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.
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Answer:
A, 68%
Step-by-step explanation:
edge
9,15,21 find the 38th term
Answer:
231
Step-by-step explanation:
The pattern is add 6. But it is more easier to use the linear function: 6x+9. Since this starts with 0, we plug in 37 for x instead of 38.
HELP PLEASE!!!
f(0)=4, f(n)=2f (n-1) write the first six terms of the sequence
Answer:
n
=
1
→
a
1
=
−
2
←
given value
n
=
2
→
a
2
=
−
2
+
4
=
2
n
=
3
→
a
3
=
−
2
+
4
+
4
=
6
n
=
4
→
a
4
=
−
2
+
4
+
4
+
4
=
10
Step-by-step explanation:
brainlist me
A rectangular piece of paper with length 30cm and width 12cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for PI, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:88.5cm
Mark me brainliest
Step-by-step explanation:
simplify the given expressions and then write your answer in standard form.
1.456×100000000
Answer:
145600000
Step-by-step explanation:
Please mark as branliest !
can you pls help meeeee look at the picture below the question is there
Answer:
40
Step-by-step explanation:
The angle represented with x is the supplementary the interior with the measure of 160 so x = 20
if it's going to be increased by 20 degrees the new measure of the angle will be 40
Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Answer:
No, it will quadruple.
Step-by-step explanation:
If a figure is scaled up by some amount x(by multiplying), while still being the same shape, the surface area will scale up by x^2, and the volume will scale up by x^3.
Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth.
Answer: 6.3
Step-by-step explanation:
A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end
of each day for the 7 days. What was the average number of pages the student read per day from the end of day 2 to the end of day 6
To find the average number of pages the student read from day 2 to day 6, add the total pages in these days and divide by 5 days.
What is the average?This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.
How to calculate the average from day 2 to day 6?Add the pages the person read these days and then divide by 5 (total of days).
For example:
35 + 45 + 10 +25 + 20 = 135 / 5 = 27 pages
Note: This question is incomplete because the table is missing; due to this, the answer is based on general knowledge.
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What is the approximate perimeter that
Answer:
30 units
Step-by-step explanation:
b1 = 6
b2 = 10
h1 = 7
h2 ≈ 7
6 + 10 + 7 + 7 = 30 units
Hope this helps!
X 38
Question 2
1 pts
Mrs. Lesser has a jar full of p pennies, n nickels, and d dimes. The total value of the coins can be expressed as
0.01p + 0.05n + 0.1d. Which phrase describes the expression that represents the total value of the coins?
Which one of these is correct
the product of three sums
the sum of three products
the product of three products
o the sum of three sums
Answer:
the sum of three products
The next three terms of the following sequence -2, -1, -1/2, -1/4,… is -1/8, -1/16, -1/32
True
False
Answer:
true. each number is being divided by 1/2
A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. the resulting cross section is .
The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.
What is the formation of an Ellipse in a Cylinder?When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.
In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.
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Answer:
It is an ellipse.
Step-by-step explanation:
Plato/Edmentum
You start driving west for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13.3 miles to nearest 1/10.
Step-by-step explanation:
The journey forms a right triangle so by Pythagoras:
d^2 = 3^2 + 13^2
d^2 = 9 + 169
d^2 = 178
d = 13.34 miles.
Which formula can be used to find the centripetal acceleration of an orbiting object? ac = startfraction the square root of v over t endfraction. ac = startfraction v superscript 2 baseline over t endfraction ac = startfraction v superscript 2 baseline over r endfraction. ac = startfraction the square root of v over r endfraction.
The formula which can be used to find the centripetal acceleration is:
ac = startfraction v superscript 2 baseline over r endfraction
What is centripetalacceleration?This is simply the acceleration of an object moving in a circulation motion.
The centripetal acceleration can be expressed mathematically as
a꜀ = v² / r
Where
a꜀ is the centripetal acceleration v is the velocity of the object r is the radiusWith the above formula, we can conclude that the correct answer to the question is:
ac = startfraction v superscript 2 baseline over r endfraction
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Answer:
(c)
Step-by-step explanation:
I took the test
The graph of an inequality has an open circle at 8, and the ray moves to the right. What inequality is graphed?
x>8
x>8
x<8
Answer: Hello there!
The open circle means that the set does not contain that extreme, so with this information, you could discard the third and fourth options.
The ray moves right, in the usual notation, the real numbers increase to the right, then, in this case, we are looking at the set of numbers bigger than 8, that does not contain the number 8.
then the inequality graphed is x > 8, and this means that the right answer is the first option.
Answer: x > 8
I also had the same question and got it right
The following table shows the first two years of a three-year amortization schedule. a 3-year amortization schedule. the payments are the same, the principal increases, the interest decreases, and the balance decreases over the 3 years. use the information in the table to decide which of the following statements is true. a. the interest amount increases each month. b. the principal amount decreases each month. c. the payment amount changes each month. d. the payment amount each month stays the same.
The true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
What is an increasing amount?Amount whose value increases from its past value is called increasing amount.
The missing table is attached below.
Checking the validity of each option:
Option a: the interest amount increases each month.We see from the table that interest in each previous month is bigger than next month, for example, in first month, it was $56.33, and in next month, it was $54.99, so interest is decreasing.
Thus, this option is not correct.
Option b. the principal amount decreases each month.The principal amount in any previous month is smaller than the next month principal amount. For example, in first month, the principal amount was $184.96 and in next month, it became $186.33, so the principal amount is increasing.
Thus, this option is not correct.
Option c. the payment amount changes each month. Option d. the payment amount each month stays the same.Option C is false and option D is true. It is because the payment is constant $241.32(iie, it doesn't change, and therefore stays the same) in each of the months.
Thus, the true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
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Which equation best represents the relationship between x and y in the graph?
Answer:
A is the answer
Step-by-step explanation:
Here is one way pick two easy points (-4,0) and (0,-3)
and sub into each of the equations until you find the one that 'fits'
An item is regularly priced at $76. It is now priced at a discount of 80% off the regular price.
Answer:
Sale price:
The price after the original price has been discounted.Our goal is to find the sale price.
We could use either of the two methods shown below:
Find what the discount price is, and reduce that off the original price.
Or
Simply find the sale price by finding the leftover percentage of the discount and multiplying it by the original price.
Let's use the second technique.
The leftover percentage of 80% is 20%, because;
100 - 80 = 20%.
Now multiply this percentage with the original price:
20%(can be considered 20/100), so
20/100 × $76
= 15.2, the sale price of this item is $15.20!
Evaluate e3/2 to one decimal place
Answer:
Assuming you mean e to the power of 3/2, your answer should be 4.5. (4.482 rounded to the tenth.)
Step-by-step explanation:
"e" is simply 10 with an exponent. "e" to the power of 3/2 means [tex]10^{3/2}[/tex].
Plugging this in comes up with approximately 4.482 which can be rounded to 4.5.
Answer:
4.5
Step-by-step explanation:
Sara randomly took one cookie each from two different plates of cookies the first plate has 4 chocolate cookies 5 oatmeal raisin cookies and 3 sugar cookies the second plate had 4 oatmeal raisin cookies 5 sugar cookies and 3 chocolate chip cookies what is the probability that Sara ended up with 2 sugar cookies i need this in a fraction form
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
Answer:
Option A
Step-by-step explanation:
Exponent Law: In exponent division, if base are same, subtract the powers
[tex]\sf \dfrac{a^m}{a^n}=a^{m-n}[/tex]
[tex]\sf \dfrac{1}{3}-\dfrac{1}{4}=\dfrac{1*4}{3*4}-\dfrac{1*3}{4*3}[/tex]
[tex]\sf =\dfrac{4}{12}-\dfrac{3}{12}\\\\=\dfrac{1}{12}[/tex]
[tex]\sf \dfrac{a^{\frac{1}{3}}}{a^{\frac{1}{4}}}=a^{\frac{1}{3}-\frac{1}{4}}[/tex]
[tex]=a^{\frac{1}{12}}[/tex]