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strojnjashka [21]

2 years ago

5

A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 7) and (3, 3), what

is the equation for a parallel street that passes through (−2,4) y = 4x + 12, y = 4x − 14 y equals negative one-fourth times x minus 1 y equals negative one-fourth times x plus 7 halvesh

1 answer:

Fynjy0 [20]2 years ago

7 0

Answer:

y= -1/4×-1 &نsjbsbbiebevjbdheueb

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How do I solve this

poizon [28]

Answer:

$8x^{-2} a^{7}$

Step-by-step explanation:

combine by putting together

3 0

3 years ago

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin

grigory [225]

Answer:

$5\ \frac{miles}{hour}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours) 0.50 0.75 1.00

f(x) (Miles) 2.00 3.50 4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$a=0.75$

$b=1.00$

$f(a)=f(0.75)=3.50$

$f(b)=f(1.00)=4.75$

Substitute

$\frac{4.75-3.50}{1-0.75}$

$\frac{1.25}{0.25}$

$5\ \frac{miles}{hour}$

8 0

3 years ago

Read 2 more answers

A fish tank has 35 gallons of water in it, but suddenly starts leaking. Water is leaking from the tank at a rate of 1/4 gallon p

Norma-Jean [14]

Answer:

35 - m

Step-by-step explanation:

A tank containing 35 gallons of water is leaking at a rate of gallon per minute.

"m" represents the number of minutes spent

Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.

Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute

8 0

3 years ago

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen

3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

<em></em>

Step-by-step explanation:

Given

$Surface\ Area = 181.5cm^2$

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

$Volume =x^2 * h$

$Volume =x^2h$

181.5 =x^2h

The surface area (S) is calculated as this:

$S = 2(x^2 + xh + xh)$

$S = 2(x^2 + 2xh)$

$S = 2x^2 + 4xh$

Substitute 181.5 for S

$181.5 = 2x^2 + 4xh$

Make h the subject:

$4xh = 181.5 - 2x^2$

$h = \frac{181.5 - 2x^2}{4x}$

Substitute $h = \frac{181.5 - 2x^2}{4x}$ in $Volume =x^2h$

$V = x^2(\frac{181.5 - 2x^2}{4x})$

$V = x(\frac{181.5 - 2x^2}{4})$

$V = \frac{1}{4}(x)(181.5 - 2x^2)$

$V = \frac{181.5x}{4} - \frac{2x^3}{4}$

$V = \frac{181.5x}{4} - \frac{x^3}{2}$

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

$dV = \frac{181.5}{4} - \frac{3x^2}{2}$

Set to 0

$0 = \frac{181.5}{4} - \frac{3x^2}{2}$

$\frac{3x^2}{2} = \frac{181.5}{4}$

Multiply through by 4

$4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4$

$2*3x^2 = 181.5$

$6x^2 = 181.5$

$x^2 = \frac{181.5}{6}$

$x^2 = 30.25$

$x = \sqrt{30.25$

$x = 5.5$

Recall that:

$h = \frac{181.5 - 2x^2}{4x}$

$h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}$

$h = \frac{181.5 - 60.5}{22}$

$h = \frac{121}{22}$

$h = 5.5$

So, we have:

$h = 5.5$

$x = 5.5$

<em>Hence, the base and height of the solid is 5.5cm</em>

7 0

3 years ago

You sell a total of 17 pieces of disposable and washable face masks.what is the answer

Amanda [17]

I don’t understand you are asking

6 0

3 years ago