f
is inversely proportional to

g
.
When
f
=
15
,
g
=
144

Work out
g
when
f
=
90

Answers

Answer 1

Answer:

  4

Step-by-step explanation:

The proportional relationship can be described by the equation ...

  [tex]f=\dfrac{k}{\sqrt{g}}[/tex]

We can fill in the given values to find k:

  15 = k/√144 = k/12

  15·12 = k = 180 . . . . . . multiply by 12

Then for f = 90, we have ...

  90 = 180/√g

  1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides

  g == 4 . . . . the value of g when f=90


Related Questions

What is the equation of the given line in the point-slope form?

Answers

Answer:

i think it is C and D

i hope this work for you

and sory if im wrang

Can anyone help me on this?

Answers

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Pick the model that represents the problem.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
18
?
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
?
18
How many rides are there at Skyrocket Amusement Park in all?

Answers

Total rides = 100 %
Considering the value of the 100%

If 30% = 18 roller coasters
then 100% = 100 x 18/30
= 60 rides
Hence there are 60 rides in all

Which expression is equivalent to 2x + 4(x + 1)?

3x + 1
3x + 4
6x + 1
6x + 4

Answers

Step-by-step explanation:

2x + 4(x + 1) = 2x + 4x + 4 = 6x + 4

Answer:

[tex]6x+4[/tex]

Step-by-step explanation:

[tex]2x+4\left(x+1\right)[/tex]

[tex]Expand\;4(x+1):4x+4[/tex]

[tex]=2x+4x+4[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:2x+4x=6x[/tex]

[tex]=6x+4[/tex]

Hence, 6x+4 expression is equivalent to 2x+4(x+1)

~Lenvy~

please help me please

Answers

Answer:

See below.

Step-by-step explanation:

1. 3 * 15 + 4 * 15 - 5 * 15

45 + 60 - 75

105 - 75

30

2. 3x + 4x - 5x

7x - 5x

2x

3. 3(x-2) + 4(x-2) - 5(x-2)

3x - 6 + 4x - 8 - 5x + 10

2x - 4

4. (I'm not typing that out)

7.5x + 19.5 + 10x + 26 - 12.5x - 32.5

5x+13

-hope it helps

How many 0.5cm x 0.5 cm x 0.5cm cubes are needed to completely fill the rectangular prism measuring 4 cm x 3 cm x 3cm?mp

Answers

Answer:

288

Step-by-step explanation:

The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.

Now, you just divide 36 by 0.125, which is 288.

I hope this helped.

Which fraction is NOT equivalent to 1/3?
2/6
3/10
4/12
5/15

Answers

Answer:

3/10

Step-by-step explanation:

2/6 is 1/3 x 2/2

4/12 is 1/3 x 4/4

5/15 is 1/3 x 5/5

but 3/10 is 1/3 x 3/3.33333.. which is not quivalent to one third

Key:
❌=Incorrect
❓=Maybe
✅=Definitely right
2/6 split in half is 1/3 ❌
3/10 split in half is not 1/3✅
4/12 split in half is 2/6 which splits into 1/3 ❌
5 is one 1/3 of 15 so it equals 1/3 when decides by 3 ❌

Hope this helps <3
Brainliest?

Arlington High School recently installed a new black-box theatre for local productions. They only had
room for 14 rows of seats, where the number of seats in each row constitutes an arithmetic sequence starting
with eight seats and increasing by two seats per row thereafter. How many seats are in the new black-box
theatre? Show the calculations that lead to your answer.

Answers

Answer: ANSWER*0.15 (15% is 15/100 or 0.15)

Step-by-step explanation:

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The number of seats in the new black box is 294.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

Number of rows = 14

n = 14

a = 8.

d = 2

So,

The number of seats in the 14 rows is,

8, 10, 12, 14,.........

Now,

The sum of the arithmetic sequence.

= n/2 [2a + (n - 1)d ]

The number of seats in the new black box.

= 14/2 [ 2x8 + (14 - 1)2 ]

= 7 [ 16 + 26 ]

= 7 x 42

= 294

Thus,

The number of seats in the new black box is 294.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

b. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets
and two child tickets cost $47. Which system of linear equations below can be used to
determine the price of each ticket?
Let x represent the cost of an adult ticket, and let y represent the cost of a child ticket.

Answers

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

Five adult tickets and two child tickets cost $47: 5x + 2y = 47

Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

-19y/3 = -38

-19y = -114

.: y = 6

Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

one number is three times another number, and their sum is -10. what is the smaller of the two numbers?

Answers

Let the smaller number be x .

Then the larger number = 3x

Their sum = -10

This can be written in an equation as :-

[tex]x + 3x = - 10[/tex]

[tex]4x = - 10[/tex]

[tex]x = \frac{ - 10}{ \: \: \: 4} [/tex]

[tex]x = - 2.5[/tex]

Which means :-

The value of the first number = -2.5

The value of the second number = -2.5 × 3 = -7.5

Therefore , the smaller of the two numbers is = -7.5

Answer:

let a + b = -10

where a = 3b

substitute a into the equation: a + b = -10

3b + b = -10

b = -10 / 4

b = -2.5

a = 3b

a = 3(-2.5)

a = -7.5

check:

a + b = -10

-7.5 + (-2.5) = 10

-10 = 10

Phoebe played in 14 games during the season. During this time, she scored
4 points in each of 5 games, 5 points in each of 2 games, 10 points in each of
3 games, 24 points in 1 game, and did not score in 3 games. What is the mean
number of points Phoebe scored per game?

Answers

Answer:

ok so first we have to find the total amount

4*5=20

5*2=10

10*3=30

24*1=24

0*3=0

now lets add up the total

20+10=30

30+24=74

104

then we have to divide by the amount of games to find the average or mean

104/14=7.43(aprox)

so she scores a average of about 7 points a game

Hope This Helps!!!

I’m not sure how to do this problem, can you please help?

Answers

Answer:

what is the problem? pls type in comments

how to do simplest form

Answers

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

[tex]enjoy yourday[/tex]      [tex]hopethishelps[/tex]

Answer:you decide by a number both of the numbers can be devised by like say it’s 8 the number will be 2 (also when you get the nooses to number you can get u stop

Step-by-step explanation:

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:

light year

Step-by-step explanation:

Took test

the figure below represent 7/9 of a full circle.What is the central angle

Answers

Answer:

Step-by-step explanation:

there is no figure Shown for

Your question

Find the equation of the tangent line to the curve y= 2x2 + x-1 at the point (5, 54).

Answers

Answer: y-54=21(x-5) or y=21x-51

Step-by-step explanation:

To find the equation of the tangent line, we first want to find the derivative of the equation.

f(x)=2x²+x-1           [Power Rule]

f'(x)=4x+1

Now that we have the derivative, we use (5,54) to find the slope.

f'(5)=4(5)+1            [multiply]

f'(5)=20+1              [add]

f'(5)=21

With our slope, we can plug it into point-slope form.

y-54=21(x-5)

We can also convert this to slope-intercept form.

y-54=21(x-5)          [distribute]

y-54=21x-105        [add both sides by 54]

y=21x-51

Now, we know the tangent line is y-54=21(x-5) or y=21x-51.

Granola costs $3.25 per pound. Raisins cost $6.50 per pound. How many pounds of raisins can be mixed with 10 pounds of granola to make a mixture that is $4.00 per pound? pls do this immediately

Answers

You multiply (*) the pounds cost by the [tex]10[/tex] pounds when you get that amount you divide it by the cost of granola per pound that will give you [tex]4[/tex] dollars per pound.

Hope it helped!

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

We want to find and solve an equation that tells us the number of pounds of raisins that we need to add to a mixture to get to a desired price.

We will see that we need to add 3 pounds of raisins.

We know that:

Granola costs $3.25 per lbRaisins cost $6.50 per lb.

If we mix M pounds of raisins with 10 pounds of granola, the total mass will be:

M + 10

The price of this will be:

M*$6.50 + (10)*$3.25

And we want the price of this mixture to e $4.00 per pound, then we have:

M*$6.50 + (10)*$3.25 = (M + 10)*$4.00

Now we need to solve the above equation for M.

M*$6.50 + $32.50 = M*$4.00 + $40.00

M*$6.50 - M*$4.00 = $40.00 - $32.50

M*($6.50 - $4.00) = $7.50

M*$2.50 = $7.50

M = ($7.50)/($2.50) = 3

M = 3

This means that we need to add 3 pounds of raisins.

If you want to learn more, you can read:

https://brainly.com/question/12420847

A small bookshelf is
8
12
yard long. How many books can fit on the shelf if the width of each book is
24
yard? Explain.





HERE IS WHAT I GOT SO FAR PKEASEEEE. HELP I AM LOST

Answers

Answer:

how long is the shelf

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

812×241=?

8

12

×

24

1

=

?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

8×2412×1=19212

8

×

24

12

×

1

=

192

12

Since 192 divided by 12 equals 16 then,

19212=16

192

12

=

16

Therefore:

812÷124=16

8

12

÷

1

24

=

16

GIVING BRAINLIST AGAIN YOU MIGHT HAVE A CHANCE!

Which inverse operation is needed to isolate the variable in the equation r + 8.9 = 17.4?
Group of answer choices

Add 8.9 to both sides.

Subtract 8.9 from both sides.

Add 17.4 to both sides.

Subtract 17.4 from both side

Answers

Answer:

Subtract 8.9 from both sides.

Step-by-step explanation:

When isolating variables, we need to change the parity of the number or value we are taking away. If we subtract 8.9 from both sides, we will get r=8.5.

P = 215(1.005)t/3

The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36

Answers

Answer:

(D) 36

Step-by-step explanation:

0.5%  = 0.5/100  =  0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3  =  1

t  =  3 years

Convert years to months.

n  =  3 ⋅ 12 months

n  =  36 months

The correct option is D.

Thanks!

Mark me brainliest!

Answer:

36

Step-by-step explanation:

Because t/3 means that 0.5% every 3 years. n will be 3 years which is 36 months

4563 divided by 9 please help guys(show steps)

Answers

Answer:

507

Step-by-step explanation:

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

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

Divide 6 by 9 to get 0

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

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

Divide 63 by 9 to get 7

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

      [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace6\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

        [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace6\emptyspace3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{4563}{9}\:\mathrm{is}\:507[/tex]

[RevyBreeze]

whats the distance between -17 and 12

Answers

Answer:

the answer is thirty three

What is the equation of the line that is parallel to the line defined by the equation y = 2x + 4 and goes through the point (3, 2)?

Answers

Step-by-step explanation:

Hey there!

Given;

y = 2x + 4..........(i)

The point is; (3,2). The equation of line which passes through this point is;

(y-y1) = m2(x-x1)

(y-2)= m2(x-3)........(ii)

From equation (i).

y = 2x+4

Comparing the equation with y = mx+c, we get;

Slope (m1)= 2

As per the condition of parallel lines, (m1=m2).

Therefore, m2= 2.

Now, keeping the slope of m1 in eqaution (ii)

(y-2)= 2(x-3)

y - 2 = 2x - 6

y = 2x -4

Therefore, the equation is y = 2x - 4.

Hope it helps...

Molly Ellen, bookkeeper for Keystone Company, forgot to send in the payroll taxes due on April 15. She sent the payment November 8. The IRS sent her a penalty charge of 10.80% simple interest on the unpaid taxes of $5,600. Calculate the penalty. (Remember that the government uses exact interest.) (Use Days in a year table) (Do not round intermediate calculations. Round your answer to the nearest cent.)

Answers

Answer:

$342.99

Step-by-step explanation:

GivenPenalty charge = 10.80% simpleInterest amount = $5600Period = April 15 to November 8To findAmount of penaltySolution

Formula

Penalty = Interest amount*penalty charge*time

Time period

April 15 = 105November 8 = 322Difference = 322 - 105 = 207 days

Calculation of penalty

$5600*0.108*207/365 = $342.99

Determine the measure of the interior angle at vertex C.

Answers

Answer:

A. 144

Step-by-step explanation:

8x + 8x + 8x + 3x + 3x = 540°

30x = 540°

x = 18

8x = 144

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Write a
compound inequality for the following scenario:
The scores on the last test ranged from 71% to 95%
Hurry up please

Answers

Answer:   [tex]0.71 \le x \le 0.95[/tex]

Work Shown:

71% = 71/100 = 0.71

95% = 95/100 = 0.95

x represents the possible values of the scores. The compound inequality above shows that x is between 0.71 and 0.95, including both endpoints. Note the use of "or equal to" as part of each inequality sign.

select the digit in the thousands place for 689,234​

Answers

Answer:

9

Step-by-step explanation:

well this one is rather simple you see the "4" is in the ones place and, going right, "3" is in the tens places and the "2"is in the hundreds place and that leaves the '9' in the thousands place.

Answer:

The remaining number in thousands units is 9.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Solve for x.
A) 5
B) 3
C) 4
D) 6

Answers

Answer:

d

Step-by-step explanation:

divide

Answer:X=3

Step-by-step explanation:

Dr. Wright stated that 36 out of every 50 students wear a Spirit shirt each Friday. What percentage of the students do NOT wear spirit shirts on Fridays?

A. 14%
B.28%
C.36%
D.64%

Answers

Answer:

A

Step-by-step explanation:

Gail found a pair of jeans for $48.00. She got an additional 20% off. How much money did Gail save on the jeans?

what price did Gail pay for the jeans not including the tax

the tax is 5% someone please help me​

Answers

Answer:

The total of the jeans is $40.80

She save $7.20

Step-by-step explanation:

The tax is 2.40

The sale took off 9.60

SO 48.0 + 2.40 - 9.60 = 40.80

pls mark brainliest

7.20 hope it helps have a good day
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