f
is inversely proportional to

g
.
When
f
=
12
,
g
=
64

Work out
f
when
g
=
16

Answers

Answer 1

The value of 'f' when 'g' is 16 is 24.

How to calculate the value

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

Learn more about indirect variations:

https://brainly.com/question/6499629

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Related Questions

Please answer thanks! Brainliest

Answers

Step-by-step explanation:

The last two answers is correct

Answer:

4

Step-by-step explanation:

The answer to T - H is negative

CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD

Answers

the answer would be 203 because if u multiply u get x time 3

Can someone help me?It's urgent and thank you!

Answers

Answer:

575.71

Step-by-step explanation:

Year 1: 960 x .88 (100%-12%)=844.80

Year 2: 844.80 x .88 =743.424

Year 3: 743.424x.88=654.21

Year 4: 654.21 x .88=575.71

There are x boys playing in the park. The number of girls in the park in equal to the square root of the number of boys. If the total number of boys and girls playing in the park is 42, find the number of boys

Answers

Girls=6
Boys=36
Total=42
So 36 boys

6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!

Answers

[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]

Final Answer: 13

Step By Step Explanation:

Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference

☆彡Hanna

please help me solve this..​

Answers

Answer:

5

Step-by-step explanation:

Let a = number of pieces of chocolate bought by Amin.

Let b = number of pieces of chocolate bought by Bob.

b = 2a

(a - 3)(b - 3) = 14

ab - 3a - 3b + 9 = 14

a(2a) - 3a - 3(2a) = 5

2a^2 - 3a - 6a = 5

2a^2 - 9a - 5 = 0

(2a + 1)(a - 5) = 0

2a + 1 = 0  or  a - 5 = 0

a = -1/2  or  a = 5

Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.

a = 5

Answer: 5

the answer would be 5! i hope this helped you

Solve for x. Assume that lines which appear tangent are tangent. x=

Answers

Answer:

this is a long shot( like rly long) but try either -6 or -3

Step-by-step explanation:

Don't co.e for me if I'm wrong im just a poor girl in year 8

Figure A is a scale image of Figure B.

What is the value of x?

NO LINK. OR I WILL REPORT YOU.

Answers

Answer:

4.4

Step-by-step explanation:

x / 4 = 11 / 10

x = ( 4 x 11 ) / 10

= 44 / 10

x = 4.4

Answer:

5

Step-by-step explanation:

To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.

Here is the equation I used:

10-4=6

11-6=5

Both triangles are 6 units in difference.

i want 2 equivalent fractions for 25/90 and for 106/300​

Answers

Answer:

25/90 there is 150/270 and 5/18

for 106/300 there is 53/150 and 212/600

Answer:

for 25/90 divide by 5 to get 5/18. For 106/30 divide both by 2 to get 53/150.

Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).

A)

y = x2 – 5x – 30

B)

y = 5x2+ 5x – 30

C)

y = –5x2 + 5x + 30

D)

y = 5x2 – 5x – 30

Answers

It's the letter B y=-5x2+5x+30.

Factorise completely the expression below: 6ax+12by-9ay-8bx​

Answers

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Please help me solve my problem!!!

Answers

Answer:

FH is the smallest angle since it is lesser than all the other ones.

Sara was choosing songs for her "Birthday Dance Party" shuffle tonight. She wanted to choose: 3 of her 8 Beyonce songs, 4 of her 12 Justin Timberlake songs, 2 of her 5 Drake songs, and finish it off with either Micheal Jackson or the Beatle's version of Happy Birthday. How many different ways can she make her Birthday song mix?

Answers

Answer:

554400

Step-by-step explanation:

To answer this question, we use combination as we are just interested in selection rather Than arrangement.

Beyonce songs ; 3 from 8 = 8C3

Justin ; 4 from 12 = 12C4

Drake ; 2 from 5 = 5C2

Version of happy birthday = 1 from 2 = 2C1

Recall :

nCr = n! ÷ (n-r)!r!

However, the answers can also be obtained using a calculator :

8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix

the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint

Answers

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

2. Select all the irrational numbers. *
A. 6pi

B. - square root of 49

C. -1.405
_
D. -0.3

E. e

F. square root of 2

Answers

Answer:

F.

Step-by-step explanation:

Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?

Answers

Answer:

It will take Molly 1 hour to catch up to Jonas.

Step-by-step explanation:

Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:

Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes

Molly = 12 miles for 60 minutes

Jonas = 3 miles + 9 = 12

Molly = 12

Therefore, it will take Molly 1 hour to catch up to Jonas.

Math help please thanks

Answers

Answer:

x = 10.5

Step-by-step explanation:

The first thing you have to do is to find out what you multiplied (say) 2 by to get 3.5 and then try it again with another number.

2k = 3.5         Divide by 2

k = 3.5 / 2

k = 1.75

Now try it on another number. What do you multiply 4 by to get 7

4k = 7            Divide by 4

k = 7/4

k = 1.75

So here's what's going on. If you multiply every dimension you are given on the left pentagon (it's not regular) by 1.75, you should get the corresponding number on the right.

To get x you need to multiply 6 by 1.75

x = 6*1.75

x = 10.5

Find (-3/7) / (-1 1/14).

45/98

2/5

2 1/2

-2/5

Answers

Answer:

option B .   [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex](-\frac{3}{7}) \div (-\frac{15}{14}) = (-\frac{3}{7}) \times (-\frac{14}{15}) = \frac{3 \times 14}{7 \times 15} = \frac{2}{5}[/tex]

Answer:

2/5

Step-by-step explanation:

(-3/7) / (-1 1/14) = 0.4

0.4 = 4/10

simplified = 2/5

I hope this helps uwu.

Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2

Answers

Answer:

I'd say 897.27cm². That's the vlosest answer that I see.

Please help…………………………….

Answers

if i'm correct its 7x

Answer:

Domen is [ -2 , infinitely) or can be written as

-2 < x < infinitely in inequality form.

Step-by-step explanation:

if (x+2) is negative than function will be imaginary so to be real function (x+2) should be positive

hence answer is : Domen = -2 < x < infinitely or can be written as [ -2 , infinitely )

make x the subject of the formula
y=a√x

Answers

Answer:

y=a√x

y/a=a√x/a a will cancel out on the right side of the equation

therefore, √x=y/a

x=√y/x

Justins rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice. How many rice bals can juctin make with 700 grams of rics?

Answers

Answer:Justin can make 7 rice balls with 700 grams of rice

Step-by-step explanation:

IF 100 grams of rice can make 1 rice ball.

Therefore, 700 grams of rice can make 700grams  x 1 rice ball/ 100 grams

=7 rice balls

Therefore Justin can make 7 rice balls with 700grams of rice

Round the following values to 2 significant figures 0.0653​

Answers

Answer:

The answer is 0.065

Step-by-step explanation:

0 doesn't count if it's before a start of a number when rounding to a significant figure

if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)​

Answers

Answer:

(f-g)(x)=4x^2+1-x^2+5

=3x^2+6

=3(x^2+2)

1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1

Answers

The answer is B.....

[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]

Combining like terms, we have

[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]

[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]

Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.

Answers

Answer:

I still think you equations are wrong...

4000/4000 not 400/400

Step-by-step explanation:

2000 A+ 6000B=520

4000A+4000B        =480

~~~~~~~~~~~~~~~~~~~~~

2000 A+ 6000B=520

-2000A - 2000B   =-240  

4000B = 280

B=7%

A=5%

9. Estimate the solution to the system
of equations by graphing. Write the
solution.
y=4-X
x + 3y = 5
( , )

Answers

5 is the answer
At least I think

Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID

Answers

can you post a pic???

pa help po............. ............​

Answers

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

Answers

The question is incomplete, the complete question is:

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42

2x − y = 14

A: Multiply the second equation by -3. The solution is x = 12, y = 9.

B: Multiply the second equation by -2. The solution is x = 12, y = 10.

C: Multiply the second equation by 2. The solution is x = 15, y = 9

D: Multiply the second equation by 3. The solution is x = 12, y = 10

Answer: The correct option is D.

Step-by-step explanation:

The elimination method is a technique wherein we eliminate the coefficient of any one variable.

The given equations are:

x + 3y = 42

2x − y = 14

We multiply the second equation by (3) and the equations formed are:

x + 3y = 42

6x − 3y = 42

The final equation after eliminating the y-term becomes:

7x = 84

x = 12

Putting value of 'x' in any of the original equation, we get:

⇒ 12 + 3y = 42

⇒ 3y = 30

⇒ y = 10

Hence, the correct option is D.

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