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3 years ago

I WILL GIVE BRAINLIEST to who answers this question correctly. Please help I need it done tonight!

Mathematics

1 answer:

Vlada [557]3 years ago

5 0

Hi there,

First, add all the hours she worked during the week up,

3.5 + 4.25 + 3.75 + 2.5 + 4.75 = 18.75

18.75 hours times the hourly wage, 18.75 x 5.85 = $109.60

Hannah estimated her earning would be $120, but it is only $109.60

So it is almost $10 less.

Hope this helps :)

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So far this season, a team has won 51 out of 68 games. Identify the values of a, b, c, and d that complete the bar diagram for t

goldenfox [79]

Answer:

a=25 b=68 c= 12.75 d=100

Step-by-step explanation:

i hope this helped you have a great day luv

3 0

2 years ago

Read 2 more answers

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

3 0

2 years ago

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic fe

Reika [66]

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

$V=x^2y=875$

With this equation we can define y in function of x as:

$x^2y=875\\\\y=\dfrac{875}{x^2}$

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

$A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}$

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

$A_c=x^2$

We can express the total cost of painting as:

$C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2$

To calculate the minimum cost, we derive this function C and equal to zero:

$\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10$