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salantis [7]
3 years ago
12

Brady dropped a bouncy ball from a height of 64 feet. After the second bounce, the ball reached a height of 36 feet. write a rul

e to represent the height of the ball after each bounce, then find the height after the fourth bounce
Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

Height  = 20.248 ft

Step-by-step explanation:

We can model this process with an exponential function

Height = Initial_Height *(e)^(k*x)

Initial_Height  = 64 ft

Second bounce

x  = 2

36 ft = 64 ft *(e)^(2*k)

(e)^(2*k) = 0.5625

2* k = ln(0.5625)

k = -0.2877

Fourth bounce

x =  4

Height = 64 *(e)^(-0.2877*(4))

Height  = 20.248 ft

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Roberta bought 9/10 to pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does
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Answer:

2

Step-by-step explanation:

5 0
2 years ago
∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
Ira Lisetskai [31]

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

7 0
2 years ago
A vacuum cleaner costs £85
Vitek1552 [10]

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

7 0
2 years ago
a rectangle is 14 centimeters long if the width of the rectangle is half of the length calculate the area of the rectangle​
Varvara68 [4.7K]

Answer:

98 cm²

Step-by-step explanation:

area of rectangle = length * width

length = 14 cm, width = 14/2 = 7 cm

area = 14 * 7 = 98 cm²

7 0
2 years ago
3. The ratio of the number of male and female teachers in a school is 2 : 11. If the
vovikov84 [41]

Answer:

the number of female teachers is 616

Step-by-step explanation:

male     2: 112

Female 11 : x

now you want to find x which is the number of female teachers

multiply 11 with 112 and 2 with x

11 x 112= 2x

divide 2

1 232 = 2x/2

616 =  x

Hope that help :)

8 0
3 years ago
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