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3 years ago

I have two questions and one will be on topic so please don't report.

1 answer:

8 0

Linear is basically a straight line on a graph and in a table when why changes it choice change the same amount through out for example 3,6,9,12,15 it’s by three if it’s like 2.1.3.3 it wouldn’t be linear bcuz it goes -1,+2,0

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Diana and Sue clean homes for a summer job. They charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. D

Bas_tet [7]

Answer:

well yes because 5 percent of 100 is 5 minus 30% + the 15% tip

7 0

3 years ago

A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

What is the scale factor of the dilation

morpeh [17]

As it can be seen in the figure above, the figure A'B'C' is bigger than ABC due to dilation.

If we are to measure the side AB, that would be 3. Also, we have A'B' measured to be 6 units.

The dilation factor is calculated by dividing the lengths of the corresponding sides. In this example that would be,

d = A'B' / AB = 6 / 3 = 2

ANSWER: 2

7 0

3 years ago

Help me please fill in the missing number to complete this fraction.

DIA [1.3K]

Answer: 3/4

Step-by-step explanation: At the top you can see it is dividing by two so whatever you do to the numerator has to be done to the denominator. 6÷2=3 and 8÷2=4.

Hope this helps!

8 0

4 years ago

Find x and Y pls help

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Comment

The angle supplementary to x and 3x are equal.

Supplementary angles = 180

Solution

x + 3x = 180

4x = 180 Divide by 4

4x/4 = 180/4

x = 45

The angle supplementary to x is 3x

3x = 3*45

3x = 135

This angle is vertically opposite y. Vertically opposite angles are equal. So y = 135

Answer

x = 45

y = 135

3 0

2 years ago