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2 years ago

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Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and

Randy's
age.
Jenna and Jamie are 13 years old.

1 answer:

Yanka [14]2 years ago

5 0

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

<u><em>Could I please have BRAINLIEST?</em></u>

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Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.

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Recall that

$|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

There are three cases to consider:

(1) When $x+2$ , we have $|x+2|=-(x+2)$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4$

(2) When $x+2\ge0$ and $x-2$ , we get $|x+2|=x+2$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)+(x+2)=4$

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So

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2 years ago

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40

satela [25.4K]

Answer:

0.14 s

Step-by-step explanation:

s = -2.7 t² + 40t + 6.5

Let s = 12

12 = -2.7t² + 40t + 6.5 Subtract 12 from each side

-2.7t² + 40t + 6.5 - 12 = 0

-2.7t² + 40t - 5.5 = 0

Apply the <em>quadratic formula </em>

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a = -2.7; b = 40; c = -5.5

$x = \frac{-40\pm\sqrt{40^2 - 4\times (-2.7) \times (-5.5)}} {2(-2.7)}$

$x = \frac{-40\pm\sqrt{1600-59.4}}{-5.4}$

$x = \frac{-40\pm\sqrt{1540.6}}{-5.4}$

$x = \frac{-40\pm 39.25}{-5.4}$

x = 7.41 ± 7.27

x₁ = 0.14; x₂ = 14.68

The graph below shows the roots at x₁ = 0.134 and x₂ = 14.68.

The Moon’s surface is at -12 ft. The ball will be 12 ft above the Moon’s surface (crossing the x-axis) in 0.14 s.

The second root gives the time the ball will be 12 ft above the Moon’s surface on its way back down.

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1 year ago

A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping. The total cost for a large pizza is given by the equat

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Isabella saved 2 nickels today. If she doubles the number of nickels she saves each day, how many days, including today, will it

luda_lava [24]

Answer:

Step-by-step explanation:

Alright, lets gets started.

First day, she saves nickels = 2

As we know, she doubles the number of nickels she saves each day.

Means second day she saves nickels = $2*2 = 4$

Third day she saves nickels = $2*4 = 8$

Fourth day she saves nickels = $2*8=16$

Hence we have $2 + 4 + 8 + 16...$

It is like a geometric series, the sum of nickels she needs more than 500.

So, lets see how many days she will take to save 500 nickels first

Using the sum formula for geometric series

$s=\frac{a(1-r^n)}{(1-r)}$

where s is sum, r is multiplication factor, that is 2 in this case and a is first term of series that is 2 also

$500=\frac{2(1-2^n)}{(1-2)}$

Simplifying, dividing 2 in both sides

$250=\frac{(1-2^n)}{(1-2)}$

$250=\frac{(1-2^n)}{-1}$

Cross multiplying

$-250=1-2^n$

$2^n-1=250$

$2^n=251$

Taking log on both sides

$nlog2=log251$

$n=\frac{log251}{log2}=7.971$

It means it will take 8 days to save mmore than 500 nickels. : Answer

Hope it will help :)

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2 years ago