Chen receives 17.5% of 4 weeks normal pay as leave loading. If Chen’s leave loading was $379.40 find his normal weekly pay

There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i

iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0

2 years ago

Isaac drinks 8 glasses of water each day he say he will drink 2920 glasses of water in a year that has 365 days is the exact ans

OleMash [197]

Answer: Isaac will be able to drink 2920 glasses of water in a year if he drinks 8 glasses of water each day.

Step-by-step explanation:

365 • 8 = 2920

2920 ÷ 365 = 8

2920 ÷ 8 = 365

7 0

2 years ago

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Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair s

4vir4ik [10]

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A $\bigcap$ B.

Let, (x,y) belong to A $\bigcap$ B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A $\bigcap$ B is (0,0).

5 0

2 years ago

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What’s the least common multiple of each group of numbers? A. 5 and 6 b. 2 and 9 c. 6 and 8 d. 2, 5, and 6

Lostsunrise [7]

Answer:

A) 30

B) 18

C) 24

D) 30

Step-by-step explanation:

8 0

2 years ago

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The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the

gizmo_the_mogwai [7]

The cost for a company to manufacture "x"....
These statements tell you what X is. (The word cost refers to what the function will tell us. In other words C(x) = The Cost for the Company))

So as we keep going the problem goes onto:
.... bracelets
So the number of bracelets is X.

The function is: C(x)

And how functions work are quite simple. You plug in a number (x) and get out a number (y).

So, C(256) = 1536

So, they made 256 bracelets at a cost of 1536 dollars.

This is no different than if I said the function was:
C(x) = 6x
And then asked, what would the function equal when x = 256. It's the same thing, so don't let it trip you up!

Answer 1: 1536$
Answer 2: 256

3 0

2 years ago

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