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beks73 [17]
3 years ago
13

A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geomet

ric sequence that shows the height of the fourth bounce in bold (to the nearest tenth). A) 8.1, 7.3, 6.6, 5.9,... B) 9, 8.1, 7.3, 6.6,... C) 9, 8, 7, 6,... D) 9, 8.1, 7.3, 5.6,...
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0
The geometric sequence that shows the height of the fourth bounce in bold is B) 9, 8.1, 7.3, 6.6,...
yKpoI14uk [10]3 years ago
3 0
Original height=10 feet
Height after first bounce: (10 feet)*90%=(10 feet)*90/100=9 feet
Height after second bounce: (9 feet)*90%=(9 feet)*90/100=8.1 feet
Height after third bounce: (8.1 feet)*90%=(8.1 feet)*90/100=7.29 feet = 7.3 feet
Height after fourth bounce: (7.29 feet)*90%=(7.29 feet)*90/100=6.561 feet=6.6 feet

Answer: Option <span>B) 9, 8.1, 7.3, 6.6,...</span>
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If sin x = .52 and cos x = .85, what is cot x?
Eduardwww [97]

cot x = cos x / sin x

cot x = .85 / .52 = 1.6346

6 0
3 years ago
An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el
CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

  • Elevator can fit no more than 14 people

          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

7 0
1 year ago
Matthew completed 5/8 of his workday. What decimal would also describe the portion of the workday he has finished? How can you u
Natalija [7]

Answer:

a)D= 0.625 Decimal that describes the portion of the workday he has finished

b)P= D*100= 0.625*100=62.5%

P: percentaje

D: Decimal

Step-by-step explanation:

Nomenclature

F: fraction of daily workday

D: decimal of daily workday

P: percentage of daily workday

Formulas

F= a/b

D= a÷b

P= D*100

Problem development

We have:

F = 5/8, then:

D= 5÷8= 0.625

To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100

P= 0.625*100=62.5%

6 0
3 years ago
Jerome will be buying a used car for $11,000 in 4 years. How much money should he ask his parents for now so that, if he invests
hjlf

Answer:

$7,987.64

Step-by-step explanation:

We know,

A = Pe^(rt)

Here,

A = 11000  

interest r = .08

Time t = 4

Now,

11000 = Pe^(.08 * 4)

Or, 11000 = Pe^.32  

Or, 11000 / e^.32 = P

Or, 7987.6394 = P

Or, P= 7,987.64

Jerome will have to ask for $7,987.64 to his parents.  

4 0
3 years ago
What is the linear function equation represented by the graph?<br><br><br> f (x) = ?
Alex Ar [27]
The equation is :
y = -.5/1 + 1
5 0
3 years ago
Read 2 more answers
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