y is directly proportional to the square root of x
If y = 32 when x = 64 find,
y when x = 25

Please help​

Answers

Answer 1

Answer:

y = 20

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] , then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

To find k use the condition y = 32 when x = 64, then

32 = k[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

4 = k

y = 4[tex]\sqrt{x}[/tex] ← equation of proportion

When x = 25, then

y = 4[tex]\sqrt{25}[/tex] = 4 × 5 = 20


Related Questions

Which number line would best model the quotient 3/4 divided by 6?​

Answers

I think it’s D I hope this helps!!!

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Answers

Answer:

10.7a−8.1b

I hope I helped you!

The diagram shows triangle PQR.
PSR is a straight line.
size of angle PQS : size of angle SQR = 3:1
S
Work out the size of angle PSQ

Answers

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

Write an explicit formula for An, the nth term of the sequence 33, 36, 39,​

Answers

Answer:

30 + 3n

Step-by-step explanation:

33 , 36 , 39 .......

This is an arithmetic series

First term = 33

Common difference (d) = Second term -  first term

                                        = 36 - 33 = 3

Nth term = a + (n -1)* d

              =  33 + ( n-1) * 3

              = 33 + n*3 - 1*3

              = 33 + 3n - 3

              = 33 - 3 + 3n

               = 30 + 3n

Can i please get answer ty

Answers

X>2 hope this helps rawrrr
download the app socratic it'll help with alot of yall questions and slader!

2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)

Answers

A. Y intercept X is 0. Plug in 0 for X and your function (Y) is 4

PLS HELP PLS PLS PLS

Answers

Answer:

$ 101

It is right

101 pls mark me brainliest and I like your pfp

PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA WHAT THE ANSWER IS!!!!!!

Answers

Answer:

s X s - formula for area of square.

where two faces meet - Edge

Flat pattern of a 3d shape - Net

Shape with 3 or more sides - Polygon

What equation could be written for this table?

Answers

The awnser for this a should be c

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

Answers

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Answer and Explain how to do both questions

Answers

Answer:

a) Area of sector TRV = [tex] 42.4\: units^2 [/tex]

b) [tex] 0.8\: units[/tex]

Step-by-step explanation:

a)

In [tex] \odot R[/tex], TW is diameter.

Therefore,

[tex] m\widehat {TVW} = 180\degree [/tex]

[tex] \because m\widehat {TV} +m\widehat {VW} =m\widehat {TVW} [/tex]

[tex] \therefore m\widehat {TV} +120\degree =180\degree [/tex]

[tex] \therefore m\widehat {TV} =180\degree - 120\degree [/tex]

[tex] \therefore m\widehat {TV} = 60\degree [/tex]

[tex] \because m\angle TRV=m\widehat{TV} [/tex]

(Measure of central angle is equal to the measure of its corresponding arc)

[tex] \therefore m\angle TRV\:(\theta) =60\degree [/tex]

Radius (r) = RW = 9 units

Area of sector TRV

[tex] =\frac{\theta}{360\degree}\times \pi r^2 [/tex]

[tex] =\frac{60\degree}{360\degree} \times 3.14\times 9^2 [/tex]

[tex] =\frac{1}{6} \times 3.14\times 81 [/tex]

[tex] =\frac{1}{6} \times 254.34 [/tex]

[tex] =42.39\: units^2 [/tex]

Area of sector TRV[tex] =42.4\:units^2 [/tex]

b)

Length of [tex] \widehat{VW} [/tex]

[tex] =\frac{120\degree }{360\degree} \times 2\pi r [/tex]

[tex] =\frac{2}{3} \times 3.14\times 9 [/tex]

[tex] =2 \times 3.14\times 3 [/tex]

Length of [tex] \widehat{VW} [/tex] [tex] = 18.84\: units [/tex]

[tex] \overline{TW} =2*RW =2*9 = 18\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 18.84-18=0.84\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 0.8\: units[/tex]

Nicki and june win some money and share it in the ratio 5:3 buck gets £26 more than june how much did june get

Answers

Answer:

£39

Step-by-step explanation:

Given data

The sharing formula is

5:3

Let June get £x

Buck gets £26 more than june

Buck = x+26

Applying the part to part ratio method

5/3= x+26/x

cross multiply

3(x+26)= 5x

3x+78= 5x

78= 5x-3x

78= 2x

x= 78/2

x= £39

Hence June get £39

Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?

Answers

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

plssss help thankyou

Answers

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

Khloe drove 204 miles in 4 hours. if she continued at the same rate, how long would it travel 765 miles?

Answers

Answer:15 hoursStep-by-step explanation:If 204 ÷ x = 4 the x = 51, so 765 ÷ 51 = 15

Answer:

15

Step-by-step explanation:

y=-2х - 4 y=x - 5 how many solutions does this have​

Answers

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

-3x - 4 = -5

-3x = -1

x = 1/3

y = 1/3 - 5

y = 1/3 - 15/3

y = -14/3

(1/3, -14/3)

What property would you use to solve for x?
(3x +60)

Answers

Multiplication, Division, and addition

The circumference of a circular garden is 28 feet. Which of the following expressions best represents the radius of the garden?
A. 28π28 over pi
B. 28(π)28 times pi
C. 282π28 over 2 pi
D. 28(2π)

Answers

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

Help please ASAP!!!!!!!!

Answers

Answer:

9-3=6

Or

6+3=9

Hope this helps!

9 + (-3) = 6
Hope This Helps You

what is the midpoint of (1,-1) and (-3,5)​

Answers

Answer:

(-1,2)

Step-by-step explanation:

In the graph y = x

When x = 0

y =
PLEASE ANSWER AND DONT JUST TSKE MY POINTS, ASAP

Answers

Answer:

x and y connect in the orgin therfore

the value of y and x is equal that mean 0

Answer:

answer is 0.

y = x

when x = 0

y = 0.

calculate the value of each of the following​

Answers

Answer:

104.7664068

Step-by-step explanation:

*fill the blank* / (-2) = -6.41

Answers

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

3m+2n+5m-7n please help me :)))))

Answers

Answer:

8m+-9n

Step-by-step explanation:

match the rule to the sequence

n + 5 8, 13, 18, 23, 28
5n 6, 7, 8, 9, 10
3n + 5 5, 10, 15, 20, 25
5n + 3 8, 11, 14, 17, 20​

Answers

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

*HURRY AND ANSWER, ILL GIVE BRAINLIEST*


The next week Jackie worked, her gross pay was $650. If she has to pay a $10 uniform fee, 1.45% in Medicare, and 4.2% in FICA, what is her net pay after these deductions?


a.) $613.27


b.) $603.27


c.) $604

Answers

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

what is the least common denominator of the equation 3/4(x-3)-1/2=2/3

Answers

Answer: 3(x-3)/4-1/2=2/3  

Step-by-step explanation:

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

12

Step-by-step explanation:

got it right on my quiz

Find the perimeter of each figure by writing and solving an equation for
the variable, x.
Use the number pad to enter your answers in the boxes.

Answers

6(x-1) = 4x
6x-6 = 4x
2x = 6
x = 3
perimeter of each figure: 12

Please help me desperately need this please please please please I will give the brainlynest

Answers

Answer:

A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240

Step-by-step explanation:

do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps

Answer:

part a. y=35x+100

part b. $140

Step-by-step explanation:

in the problem, it says 35 dollars every month making 35 the unknown

and for how much you will be spending after 4 months that would be 140 dollars

please let me know if this was wrong

hope this helps :) have a nice day !!

6 13 multiply by 2 and then add 1

Answers

Answer:

1227 is correct ................................................

Step-by-step explanation:

Answer:

Is 6 part of the equation?

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