Ask question

Ask question

All categories

3 years ago

12

suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous heigh

t. how high will the ball rebound after its third bounce? round to the nearest tenth

2 answers:

svetlana [45]3 years ago

7 0

IT WILL REBOUND AS HIGH AS YOUR MUM

PSYCHO15rus [73]3 years ago

4 0

The answer would be 10.84

You might be interested in

14:2<br>= 20: wat is the equivalent ratio

lina2011 [118]

By cross multiplying, the answer should be 2.9

6 0

3 years ago

Read 2 more answers

8x=4x-2 solve for x please

Alexus [3.1K]

X=-0.5

Move 4x to another side and you will get it.

4 0

3 years ago

Read 2 more answers

A farmer finds that if she plants 70 trees per acre, each tree will yield 75 bushels of fruit. She estimates that for each addit

Arturiano [62]

Answer:

44 3/8 trees per acre

Step-by-step explanation:

Let x represent the number of trees planted per acre. Let y represent the yield in bushels per tree. The farmer estimates the yield will be ...

y = 75 -4(x -70)

y = 355 -4x . . . . . . simplify

The yield per acre is this yield per tree multiplied by the number of trees per acre, x.

yield per acre = x(355 -4x) = 4(x)(88.75 -x)

This describes a downward-opening parabola with zeros at x=0 and x=88.75. The vertex (maximum) is halfway between the zeros, at x = 44.375.

To maximize her harvest, the farmer should plant 44 3/8 trees per acre. If the model is correct, each tree would then produce 177.5 bushels of fruit, almost 2.4 times the current yield.

8 0

3 years ago

The directed line segment, AB¯, contains the points A(−2,6)

CaHeK987 [17]

Answer:

The coordinate of the point is; (0,2)

Step-by-step explanation:

The given line segment has points with coordinates A(−2,6)

and B(4,−6).

We want to find a point (x,y) that divides this line segment in the ratio:

m:n=2:4

The x-coordinate of this point is given by;

$x=\frac{mx_2+nx_1}{m+n}$

We substitute $x_1=-2,x_2=4,m=2,n=4$

$\implies x=\frac{2*4+4*-2}{2+4}$

$\implies x=\frac{8-8}{6}=0$

The y-coordinate of this point is given by;

$y=\frac{my_2+ny_1}{m+n}$

We substitute $y_1=6,y_2=-6,m=2,n=4$

$\implies y=\frac{2*-6+4*6}{2+4}$

$\implies y=\frac{-12+24}{6}=2$

The coordinate of the point is; (0,2)

8 0

3 years ago

Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0

3 years ago