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Gala2k [10]
3 years ago
15

A ball is dropped from a height if 30 feet the ball bounces after each bounce the height attained by the ball is 60% of the prev

ious height write an nth term formula to model the situation what is the maximum height attained by the ball after five bounces
A.0.12ft
B.6.40ft
C.2.33ft
D.1.40ft
Mathematics
1 answer:
Oliga [24]3 years ago
6 0
This information will be modeled using the formula
thus we shall have:
Sn=ar^n
where:
a=first term
r=common ratio
from the information:
a=30 ft
r=60/100=3/5=0.6
therefore the formula will be
Sn=30(0.6)^n
where n is the number of terms:
thus when n=5 th sum will be:
S5=30(0.6)^5
S5=30(0.6)^5
S5=2.33 ft
Answer: 2.33 ft
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44 is 25% of what <br> pls help they gave me these without teaching them
Anna71 [15]

Answer:

176

Step-by-step explanation:

In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.

25% = 0.25

44/0.25 = 176

To check your work, simply take the answer and multiply it with the percentage.

176*0.25 = 44

7 0
3 years ago
A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s
algol13

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

  • For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
  • Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
  • the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
  • ₋1.5 ≥ x, here the values will satisfy the graph.
  • remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

brainly.com/question/371134

#SPJ10

5 0
2 years ago
What are the zero(s) of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-36x%20%7D%7Bx-9%7D" id="TexFo
Contact [7]

Answer:

D

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

0 = 4 {x}^{2}  - 36x

I will use the quadratic formula:

\frac{ 36  +  \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{  36 + 36}{8}  = 9

Therefore, x = 9 is a 0. Let's check with subtracted root now:

\frac{ 36   -    \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{ 36  -  36}{8}  =  0

It appears 0 is also a root.

Therefore, the answer is D.

7 0
3 years ago
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MatroZZZ [7]
Ask SAPPHIREMOON, and they'll give you the answer, because I can't do math
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