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Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negative 2, negative 4 and 2, 4. Graph of line C going through ordered pairs negative 2, negative 5 and 3, 5. Graph of line D going through ordered pairs 0, negative 4 and 4, 4 Which line is represented by the function f(x) = 2x + 1? (1 point) Group of answer choices Line A Line B Line C Line D
Answer:
Line A is represented by the function f(x) = 2x + 1.
Step-by-step explanation:
9) What 2 numbers have a total of 28 and a difference of 6?
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
Learn more about Normal Distribution:
https://brainly.com/question/12421652
help please this is kinda difficult .
im pretty sure that the slope for both lines would be 2
HELPPP PLEASE!!! IM BEING TIMED!!!
Answer:
y=2x+4
Step-by-step explanation:
8=2(6)+b
8=12+b
4=b
NO LINKS PLEASE HURRY I REALLY NED HELP!!!
Answer:
The answer is D
Step-by-step explanation:
-7.6+4.17= -3.43x
3.54-1.32= 2.22
Mean of first five whole numbers is 3
Answer:
mean of first five whole number = (0+1+2+3+4)/5 = 2
Step-by-step explanation:
Whole is starts from 0.
if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days
Please help late assignments
Answer:
what do we hav to do in this please explain
Step-by-step explanation:
What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?
Emma buys 9 bottles of pineapple juice at the corner store for a total cost of $10.62.
Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of j that matches the context.
$1.18
Step by step explanation :
9c = 10.62
c = 10.62/9
c = 1.18
Given the graph of a proportional relationship, if the (2,7) lies on the graph, what is the value of k? What is the equation of the line?
Answer:
k=3.5, and y=3.5x is the equation of the line
Step-by-step explanation:
y and x are proportional means that y = kx for some constant k.
Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,
and the equation of the line is y = 3.5x
Which expression does not have a solution of 9, if w = 4? 5 + w w + 5 13 - w 5 - w
Answer:
5 - w does not have a solution of nine.
Step-by-step explanation:
5 - 4 = 1
Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294
Answer:
uhhhh I can't explain how but the answer is B. -39,366.
3and3/4th divided by 2and 1/2
Answer:
1.5
Step-by-step explanation:
3 3/4 ÷ 2 1/2
3/2
= 1.5
Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0
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Answer:
|3x +5| = 3x +1|3x +5| = x -1Step-by-step explanation:
The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...
|3x +5| = 3x +1
The right-side line stays below the left-side V, so doesn't intersect.
__
You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...
|3x +5| = x -1
__
Graphs of the left- and right-side expressions are shown in the attachment.
How to tell if a graph is a function in algebra
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
Step-by-step explanation:
If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
please help!
Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses
Answer:
A. Personal vacation expenses
Step-by-step explanation:
Because everything else either helps the community or is a required expense
A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?
Answer:
1 1/4
Step-by-step explanation:
Pls give me an answer with step by step explanation
The product of two positive consecutive integers is 72. Find the integers.
Answer:
8 and 9
Step-by-step explanation:
8 times 9 is equal to 72
Which number line shows the location
of 0.3?
There is no picture attached :)
On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?
Answer:
Step-by-step explanation:
n = 41
There are 41 students on each bus.
tan(-x) cos(-x) =
Simplify the expression
Answer:
- sin (x)
Step-by-step explanation:
hope this helps :)
Answer: tan(-x) cos(-x) = -sin(x)
Step By Step Explanation:
tan(-x) cos(-x)
Use the negative angle Identity to get:
Cos (x) (-tan(x))
Remove the parenthesis to get:
-Cos (x) tan (x)
Express with sin,cos to get:
-sin(x)
I got my explanation from www.symbolab.com
https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input
, Hope this Helps :)
Have a great day!!
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon
Answer:
6.75
Step-by-step explanation:
First, I just gave you the answer.
Second, just use it.
The domain of a function h(x) is x≤-2, and the range is y<1. What are the domain and range of its inverse function, h^-1(x)
Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:
The domain is x < 1.The range is [tex]y \leq 2[/tex].What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:
The domain is x < 1.The range is [tex]y \leq 2[/tex].More can be learned about domain and range at https://brainly.com/question/10891721
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help please 100 points!!!!!!!!
What is a benefit of following the recommended daily allowances for carbohydrates?A( It provides the body energy. B(It helps build strong muscles. C( It makes skin healthy. D( It helps build strong bones.
Answer:
A
Step-by-step explanation:
Answer:
The Correct answer is A
Step-by-step explanation:
Help plssssssssssssssss
Answer:
both
Step-by-step explanation:
The mean and the median give the same information, so it doesn't matter which one she chooses.
If you vertically compress the absolute value parent function, f(x) = \X\, by a
factor of 4, what is the equation of the new function?
A. g(x) = | 4x1 |
B. g(x) = |x - 41 |
C. g(x) = 4|x|
D. g(x) = 1/4 |x|
Please answer the following question:
Answer:
l
Step-by-step explanation: