Ask question

Ask question

All categories

3 years ago

12

A ball is dropped from a height of 12 feet and returns to a height that is 1/2 of the height from which it fell. The ball contin

ues to bounce half the height of the previous bounce each time. How far will the ball have traveled vertically when it hits the ground for the fourth time?

2 answers:

BlackZzzverrR [31]3 years ago

4 0

Answer:

24.25 is your answer

Tatiana [17]3 years ago

4 0

Answer:

25 feet is the length it will have traveled

You might be interested in

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

Semenov [28]

Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) </span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 </span><span> Step 3 :</span><span> 33x6y12 Simplify ———————— 24x12y20 </span></span>Dividing exponential expressions :

<span> 3.1 </span> <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span> <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step 3 :</span><span> 27 4 • —————— 16x6y8 </span><span>Step 4 :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>

6 0

3 years ago

Read 2 more answers

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to

vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

While his bank account was -$38, Gavin made 6 withdrawals of $5.

Semmy [17]

If you want to find the total in the bank account after the 6 withdrawals it would be a -$68.

4 0

2 years ago

Find the value of this expression if x = -6.<br> x^2-3/x+3<br> Enter the correct answer.

Amanda [17]

Answer:

$\frac{x^{2}-3}{x+3}=\frac{(-6)^{2}-3}{-6+3}\\\\=\frac{36-3}{-3}=\frac{33}{-3}=-11$

Step-by-step explanation:

6 0

2 years ago