1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
1 year ago
14

Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2

= 3.yy =

Mathematics
1 answer:
Vladimir79 [104]1 year ago
8 0

Answer

y = 45 when x = 3

Step-by-step explanation:

\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}

You might be interested in
What is the simplified version of 3\sqrt{135}
Aleonysh [2.5K]

Answer:

The simplified version of \sqrt[3]{135} is 3\sqrt[3]{5}.

Step-by-step explanation:

The given expression is

\sqrt[3]{135}

According to the property of radical expression.

\sqrt[n]{x}=(x)^{\frac{1}{n}}

Using this property we get

\sqrt[3]{135}=(135)^{\frac{1}{3}}

\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}

\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}

\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}      [\because (ab)^x=a^xb^x]

\sqrt[3]{135}=3\times \sqrt[3]{5}     [\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]

\sqrt[3]{135}=3\sqrt[3]{5}

Therefore the simplified version of \sqrt[3]{135} is 3\sqrt[3]{5}.

7 0
3 years ago
Read 2 more answers
Create a data set with 10 numbers that has a mean of 32?
densk [106]
30,77,55,71,19,40,10,5,7,6
4 0
3 years ago
Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawin
Georgia [21]

Answer:

a(n)=1.15[a(n-1)]

Step-by-step explanation:

we know that

115\%=115/100=1.15

Let

a0 -----> the length of the original copy

<em>The first copy is equal to</em>

a1=1.15(a0)

<em>The second copy is </em>

a2=1.15[1.15(a0)] or a2=1.15[a1]

<em>The third copy is</em>

a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]

therefore

A recursive formula will be

a(n)=1.15[a(n-1)]

3 0
3 years ago
What is the volume of the sphere?
gayaneshka [121]
2304π is the answer and if you don’t want pi it’s 7238.2294738709 feet
8 0
3 years ago
Two Aps have the same first and last terms .The first Ap has 21 terms with a common difference of nine how many terms has the ot
Pani-rosa [81]

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

---------------

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

7 0
3 years ago
Other questions:
  • What is the solution of log(2t+4) = log(14-3t)?
    8·1 answer
  • Which of the following numbers is classified as an irrational number?
    7·1 answer
  • PLEASE HELP IM BEING TIMED
    8·2 answers
  • 8 divided by 1766? please help me out
    13·2 answers
  • FIRST PERSON TO HELP GETS MARKED BRAINIEST !<br> (You have to actually help)
    9·2 answers
  • Given below is the odd-number function. which of the following are equal to o(7)?
    15·2 answers
  • How do you simplify 20/21?
    7·2 answers
  • Consider the figure shown. what is the measure of the given angles?
    14·1 answer
  • 1) Eight less than triple a number
    10·2 answers
  • How much numbers are on a number line?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!