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
This is the choices <br> 88<br> 70<br> 110<br> 120
s344n2d4d5 [400]

Answer:

110

Step-by-step explanation:

Y and X have to equal 180

70+x+180

=110

7 0
3 years ago
Read 2 more answers
Which logarithmic equation is equivalent to the exponential equation 5c=250
Elis [28]

Answer:

c = log_{5}250

Step-by-step explanation:

8 0
3 years ago
I am a real number
Elden [556K]

Answer:Any number less than -13.

Step-by-step explanation:

If the number is real and rational and non-natural, this means that it can be any number in the negative number space.

Additionally, since the number has to be less than -13, then the number could be any number less than -13.

With all these things considered, the number is any number less than -13 that is real and rational.

Cheers.

5 0
3 years ago
A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour
slava [35]

Answer:

i got 42 minutes

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Airida [17]

Answer:

hindi ko alam young answer

8 0
3 years ago
Other questions:
  • Simplify this expression.<br> 3^5/3^3
    5·2 answers
  • What is 37.621 divided by 6.3
    11·2 answers
  • If Armons mother gave him a 10 dollar bill and said buy 5 pounds of bananas and apples. If bananas cost 80 cents per pound and a
    11·1 answer
  • Julie and her friend went to the movies and bought one jumbo popcorn and two chocholate chip cookies for 5$. Marvin and his frie
    6·1 answer
  • PLZZZZZZ HELP ME I WILL MAKE YOU BRAINIEST
    14·2 answers
  • Sharon’s house, the library, and Lisa’s house are all on the same straight road. Sharon has to ride her bike 1 3/5 miles to get
    5·2 answers
  • HELPP SOS!!!!! THANK YOU SO MUCH WHOEVER ANSWERS WITH ACCURACY
    7·1 answer
  • The scale below was taken from a housing blueprint. Use the information below to select the
    12·1 answer
  • Help me with Perpendicular angles
    13·1 answer
  • Which of these is a mathematical expression?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!