Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inches.

Answer:

56

Step-by-step explanation:

7x8=56

Step-by-step explanation:

7(8)

= 56

use tye substitution property

Answer:

$5760

Step-by-step explanation:

12000 × 8 × .06 = 5760

Answer:

80

Step-by-step explanation:

the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80

Answer:

area of the figure=(1/2×22/7×12²)+(12×4)+(8×3)

=226.28+48+24

=298.28

Answer:

$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with mean $480 and standard deviation $20.

This means that [tex]\mu = 480, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?

This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 480}{20}[/tex]

[tex]X - 480 = 1.645*20[/tex]

[tex]X = 512.9[/tex]

$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05

Answer:

The sine function is:

[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]

Step-by-step explanation:

We need to recall that a sine function can write as:

[tex]y(x)=Asin[B(x+C)]+D[/tex]

Where:

So we just need to use the listed attributes

Therefore, the sine function is:

[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]

I hope it helps you!

Answer:

r=-10 Hope this helps! If I could have brainliest I'm trying to level to level up.

Step-by-step explanation:

Let's solve your equation step-by-step.

3+5r=−47

Step 1: Simplify both sides of the equation.

5r+3=−47

Step 2: Subtract 3 from both sides.

5r+3−3=−47−3

5r=−50

Step 3: Divide both sides by 5.

5r/5=-50/5

r=−10

Answer:

r=−10

Answer:

I think the answer would be B

Step-by-step explanation:

Because we multiply, distribute and combine like terms

Answer:

Is the question really expanded notation

9514 1404 393

Answer:

  8

Step-by-step explanation:

If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.

_____

The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.

Answer:

4(7+y) and 4·7+4·y

Step-by-step explanation:

4(7+y)= 28+4y

4·7+4·y= 28+4y

Answer:

116

Step-by-step explanation:

All angles will add up to 360°

So just do 360 -55 -79 -110 = 116

Answer:

The answer is 116 because the sum of angles in a quadrilateral is 360 degrees.

Answer:

D .

Sorry if i'm wrong.

[tex]x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x[/tex]

Step-by-step explanation:

61.945

62the perimeter of triangle ABC to

the nearest whole number

Answer:

hi i dont understand this

Step-by-step explanation:

sorry

The function will be

[tex]f(x) = 9 - x + \sqrt[2]{ {x}^{2} + 9} [/tex]

and minimum value required will be

[tex]9 + \sqrt[3]{3} [/tex]

The steps are as follow:

[tex]f(x) = (9 - x) + \sqrt[2]{ (x^2 + 3^2) } \\ =(9 - x) + \sqrt[2]{ (x^2 +9)} \\ f(x) = \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 \\ f(x) = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9}} = 1 \\ 2x = \sqrt{ {x}^{2} + 9} \\ 4{x}^{2} = { x}^{2} + 9 \\ 3 {x}^{2} = 9 \\ {x} = \sqrt{3} [/tex]

so putting value of in f(x) we will get

[tex]f( \sqrt{3} ) = 9 - \sqrt{3} + \sqrt[2]{ { (\sqrt{3} )}^{2} + 9} \\ = 9 + 2 \sqrt{3} [/tex]

So The function will be

[tex]f(x) = 9 + \sqrt[2]{ {x}^{2} + 9}[/tex]

and minimum value required will be

[tex]9 + \sqrt[3]{3} [/tex]

Learn more about functions here:

https://brainly.com/question/2833285

#SPJ2

The answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

17>16

Step-by-step explanation:

Answer:

17 is greater than or (>) than any number lower than 17 :)

Step-by-step explanation:

For example, 17>16.. 17> 15, or 17> 14...ect.

Hope this helps! :)

Have a nice day <3

Answer:

D. g(x) = 2-x^2

Step-by-step explanation:

g(x) seems to be a vertical translation of f(x).

f(x) = 5-x^2

g(x) = 5-x^2-3 (subtract 3 as a translation down 3 units)

g(x) = 2-x^2

Answer:

common denominator: 48

Step-by-step explanation:

common denominator: 8x6=48

1/8 = 6/48    

1/6= 8/48

Answer:

5

Step-by-step explanation:

8x + 12 = 52

move constant to right

8x=52-12

subtract numbers

8x=40

divide both sides

x=5

Answer:

1.478

Step-by-step explanation:

Answer:

se__xxxx cha_t

Step-by-step explanation:

aaah aaaah

Answer:

9.167

Step-by-step explanation:

120% is 11

100% is x

[tex]\frac{11*100}{120} \\\\= \frac{110}{12}\\[/tex]

≅ 9.167