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1 year ago

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A bouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive bounce is 73% of the previous

bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).

1 answer:

sineoko [7]1 year ago

3 0

The answer is one because the exact answer is 0.9788 and then they’re asking you to round

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Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.

I am Lyosha [343]

Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.

then we can write the following piecewise function to describe the situation:

f is a function from (0, 4] to {$7, $14, $21, $28}

$f(x)=\begin{cases} 
 \$7 & if \enspace \enspace x\leq 1 \\
 \$14 & if \enspace \enspace 1\ \textless \ x\leq 2 \\
 \$21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\
 \$28 & if \enspace\enspace 3\ \textless \ x\leq 4 \
 \end{cases}$

6 0

2 years ago

prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daugh

Anna11 [10]

Given parameters:

Fraction given to charity = $\frac{1}{3}$

Fraction given to wife = $\frac{2}{3}$

Unknown:

Fraction given to son and daughter =?

Solution:

Let the total property = x

Fraction given to charity = $\frac{1}{3} x$

Fraction given to wife = $\frac{2}{3} x$

The remaining was given to son and daughter = F

So;

Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter

x = $\frac{1}{3} x + \frac{2}{3} x + F$

F = x - ( $\frac{1}{3} x + \frac{2}{3} x$ )

F = 0

The son and daughter will not inherit anything

8 0

2 years ago

An artist is cutting pieces of ribbon to

meriva

It's 5 inches he cut off

8 0

2 years ago

Rewrite in simplest rational exponent form √x • 4√x

nignag [31]

Answer:

4x

Step-by-step explanation:

$\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x$

$given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x$

3 0

2 years ago

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed

zavuch27 [327]

Answer:

(Choice A) A graph of an increasing linear function in quadrant 1 with a positive y-intercept.

Step-by-step explanation:

The weight of the sumo wrestler starts at a positive value of 79.5 kilograms, and we are given that the sumo wrestler gains a linear amount of weight per month at 5.5 kilograms per month.

If we were to graph this relationship, the sumo wrestler's weight would be represented on the y-axis, and the amount of time on the x-axis.

So the initial weight would occur at (0, 79.5) which is the positive y-intercept.

And since his weight is increasing at 5.5 kilograms per month, the slope of the linear function is positive.

Hence, the graph of the linear increasing function in quadrant 1 with a positive y-intercept.

Cheers.

5 0

2 years ago