girllyyyanna girllyyyanna
  • 09-02-2021
  • Mathematics
contestada

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.

Respuesta :

xulatedzeek
xulatedzeek xulatedzeek
  • 09-02-2021

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:

Answer Link

Otras preguntas

Which of the following statements is true? a. Organization of information in long-term memory is generally unnecessary. b. Long-term memories are generally stor
Which feature distinguishes formal correspondence from informal correspondence? contractions, slang, personal tone, complex sentence.​
During weight training, when should you exhale? (1 point)
6.3 + 5.8(4 − 3.5t) + 6.6t, when t = 2.
Is being American a matter of geography or choice? ​
In a 4-way 16-bit Multiplexor the selector is:________ a. 2-bit wide. b. 16-bit wide. c. 4-bit wide. d. 1-bit wide.
write the name of property a/b+c/d=c/d+a/b​
Hi ! can someone help me and tell me if my answers right or wong Thank you
The train station clock runs too fast and gains 7 minutes every 4 days. How many minutes and seconds will it have gained at the end of 9 days
Separatists were Puritans who broke away because they a. disliked the fact that all English were automatically church members b. thought the Church of England