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
Ludmilka [50]
2 years ago
14

y varies directly as x and inversely as the square of z. y = 65 when x = 80 and z=4. Find y when x= 18 and z=3.

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer: y

=

18

Explanation:

As

y

varies directly as

x

, we have

y

∝

x

. Also it varies inversely as square of

z

, which means

y

∝

1

z

2

.

Hence,

y

∝

x

z

2

or

y

=

k

×

x

z

2

, where

k

is a constant.

Now when

x

=

80

and

z

=

4

,

y

=

10

, so

10

=

k

×

80

4

2

=

k

×

80

16

=

5

k

Hence

k

=

10

5

=

2

and

y

=

2

x

z

2

.

So when

x

=

36

and

z

=

2

,

y

=

2

×

36

2

2

=

72

4

=

18

Step-by-step explanation:

You might be interested in
It’s in the picture if u can help I will be thankful
Delicious77 [7]

Answer:

The length of LM,hypotenuse is 55.866ft

Step-by-step explanation:

Given that LN=39ft and MN=40ft so you can solve it using Pythogoras' Theorem:

side²+side² = hypo²

LN² + MN² = LM²

hypo² = 39²+40²

= 3121

LM = √3121

= 55.866ft (3d.p)

6 0
3 years ago
Let f(x) = (x+3) (x+1)^n ( x+2) ² what is the multiplicity of the zero of f at x=2? ​
nekit [7.7K]

Answer:

is c

Step-by-step explanation:

6 0
3 years ago
What are the factors of 4 and 10?
zmey [24]
Factors of 4 : 1,2,4

factors of 10 : 1,2,5,10
8 0
3 years ago
Read 2 more answers
What is the stander form of 1234567456
stealth61 [152]

Answer:

Hi sky how u doing? Me and grant already solved our problems. I need to talk to you :) PLZ RESPOND FAST!!

3 0
2 years ago
A coat is on sale for 25% off. the sales price is $60. what is the original price of the coat
yKpoI14uk [10]
The answer is 80
80-25%=60
8 0
3 years ago
Other questions:
  • Mrs. Kimball drew a rectangle on the board and labeled the sides using linear expressions to represent measurements in meters. W
    9·1 answer
  • the tempura temperature halfway to the sun from mercury is aproxamently 1,800 Celsius and scientist theorize that it may be 26,0
    9·2 answers
  • Solve.
    10·2 answers
  • Last year a large trucking company delivered 9.0* 10^5 tons of goods with an average value of $17,000 per ton. What was the tota
    14·2 answers
  • The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a s
    14·1 answer
  • The time it takes a student to finish a Statistics test has a uniform distribution between 46 and 73 minutes. What is the probab
    15·1 answer
  • Help me answer this question
    7·1 answer
  • Which are like terms<br> will give brainest if correct
    9·2 answers
  • At a large university, A total of 5,400 students are enrolled in a math class this semester. This represents 60% of the total nu
    5·1 answer
  • Answer this question ​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!