f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

Answers

Answer 1

Answer:

f = 10

Step-by-step explanation:

find out the constant of variation 'k':  F = k/[tex]\sqrt{g}[/tex]

8 = k/ [tex]\sqrt{25}[/tex]

k = 8 · 5

k = 40

f = 40/[tex]\sqrt{16}[/tex]

f = 40/4

f = 10


Related Questions

NEED HELP ASAP PLZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!
A conference is expecting between 640 and 1,088 attendees. The conference is serving pizza for lunch. If the conference must order 8 pizzas per 32 attendees, approximately how many pizzas should the conference order?

A.

27 pizzas

B.

13,824 pizzas

C.

56 pizzas

D.

216 pizzas

Answers

Answer:

D 216 pizzas

Step-by-step explanation:

if there expecting 1,088 I would say that's 56 pizzas

**IF ANYONE IS AN EXPERT IN MATH PLEASE HELP.**

i’ve figured out the answer to this problem but i have to check which i dont know how. Could anyone please help me on this? how do you check your answer?

Answers

To check you're answer just fill in 18.7 for h in the original problem.

If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?

Answers

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

Sophie earns 6% interest from her bank. If she has $456 in the bank, how much interest will she earn?

Answers

Sophie would earn $27.36 from interest because 456 divided by 0.06 equals 27.36

5x to the second power-13x +6
guys answer only

Answers

Answer:

-138

Step-by-step explanation:

Safe wheelchair ramp specifications require about 4.75° maximum angle to be constructed with the ground. At a particular building, the owner is installing a wheelchair ramp that needs to rise 1 feet off the ground. The owner insists on constructing the angle with the ground at 3°. How much horizontal distance will the ramp cover with these specifications?

Answers

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance ([tex]y[/tex]), measured in feet, and the angle of the wheelchair ramp ([tex]\theta[/tex]), measured in sexagesimal degrees. The horizontal distance needed for the ramp ([tex]x[/tex]), measured in feet, is estimated by the following trigonometrical expression:

[tex]x = \frac{y}{\tan \theta}[/tex] (1)

If we know that [tex]y = 1\,ft[/tex] and [tex]\theta = 3^{\circ}[/tex], then the horizontal distance covered by this ramp is:

[tex]x = \frac{1\,ft}{\tan 3^{\circ}}[/tex]

[tex]x \approx 19.081\,ft[/tex]

The ramp must cover a horizontal distance of approximately 19.081 feet.


Function: Yes or no

{(-3,4),(-2,5),(0,0),(-2,5),(4,8)}

Answers

Answer:

Yes.

Step-by-step explanation:

Every input has a specific output.

ima say yes but I may not be correct if somebody else answers chose them and let me be your last chose ;-;

Please help its my last question

Answers

Answer:

Step-by-step explanation:

Acute as it is less than 90 degrees

Answer:

acute

Step-by-step explanation:

its less than 90 see the image

Show work!!!!!!!!!!!!!!!!

Answers

33.5 - 21.9 = 11.6 this is the answer to your question

a + 3 + 2a = - 1 + 3a + 4 solve for A

Answers

Answer:

A=0

Step-by-step explanation:

a + 3 + 2a = - 1 + 3a + 4

a+2a-3a=-1+4-3

3a-3a=0.

0=0

at school, 460 of the students walk to school.

The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?

Answers

Answer:

460/100 X 5 = 23

23 bike to school xx

Someone please help me ?:)

Answers

9514 1404 393

Answer:

  (c)  6 inches

Step-by-step explanation:

The ratio ...

  1 in : 2 ft

can be multiplied by 6 to find the length corresponding to 12 ft:

  6×1 in : 6×2 ft

  6 in : 12 ft

The ceiling height in the model is 6 inches.

Please help me with this math problem, 20 points!

Answers

Answer:

The first one

Step-by-step explanation:

Determine the domain on which the following function is decreasing.

(Please include an explanation)

Answers

the way I remember domain(the distance where x is shown) and range(the distance where y is shown) is that it lines up with an ordered pair. It sounds wrong to say range and domain, just like it sounds wrong to say y,x.

the answer for this would be [0,11]

(4x + 5x) + 6x = 4x + (5x + 6x)

Answers

Answer:

9x=15x

Step-by-step explanation:

This is not correct

Answer:

it's correct

Step-by-step explanation:

(4x + 5x) + 6x = 4x + (5x + 6x)

9x+6x = 4x+ 11x

15x=15x

proved ✓✓

Chris plays basketball every 2 days and football every 5 days. The last day he played both sports on the same day was on June 13th. What is the next day in June that he will play both basketball and football on the same day?

Answers

Answer:

They will both occur on the 28th of june.

Step-by-step explanation:

This will happen bc you are trying to find same multiples of the two numbers

2 x 5 = 15

3 x 5 = 15

add 15 to 13 and you will get your date.

Select all tables that represent a proportional relationship between X and Y

Answers

Answer:

The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where k is called the 'constant of proportionality'.

Given the table

x         0          5           10             15

y         2         17           32             47

Let us calculate the k value for all the points

FOR (0, 2)

k = y/x

substitute x = 0, and y = 2

k = 2 / 0 = ∞

FOR (5, 17)

k = y/x

substitute x = 5, and y = 17

k = 17/5

k = 3.4

FOR (10, 32)

k = y/x

substitute x = 10, and y = 32

k = 32/10

k = 16/5

k = 3.2

FOR (15, 47)

k = y/x

substitute x = 15, and y = 47

k = 47/15

k = 3.1

It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Convert the following linear equations from slope form to standard form:

y=-3x+7

y = - 2/3x - 3/4

Answers

Answer:

3x+y=7

8x+12y=-9

Step-by-step explanation:

pls help!!
(don’t mind the circles on the numbers)
pls try them all, but ill be okay even if you just try one or however many.

Answers

Answer: 35. The equation would be y = 17/2x

Answer:

32) yes, linear

33) no

34) yes

Step-by-step explanation:

32) if you look at the difference in the y-values and the difference of the x-values you will see that they all equal 3; for example, 24/8, 21/7, 18/6

33) following same method as for #32, there is not a consistent ratio of change between x-and-y values

34) yes, constant ratio is 10

What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
20
35
A-
C
What is the measure of x?

Answers

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

x + 35 = 180 ( subtract 35 from both sides )

x = 145

(geomatry) Pleasee help I'll give brainest and thanks :)

Also please don't answer if you don't know!! Thanks in advance

Answers

Answer:

JML=142 degrees

Step-by-step explanation:

This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.

Line a passed through points (-2,1) and (2,9). Which is parallel to line a?

Answers

Answer:

D

Step-by-step explanation:

Line A's slope: 9-1/2+2 = 8/4 = 2

y = 2x+b

y = 2x-5

If the slope of 2 lines are equal, then the lines are parallel.                    

HELPPP it’s a test quest.. 20pts

Answers

Answer:

I think that the answer is A

Answer:

and because it was a test.

Step-by-step explanation:

that was the answer ok so for the mathematical errors. okay? undostands?

f(x)= (x-1)(x(x+1)+2x) find all rational zeros​

Answers

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3

Please help please....

Answers

Answer:

Step 3

Step-by-step explanation:

They didn't subtract the 1 on the right side making it equivalent

What is the difference between (-10)² & -10²? What are the values for each expression?

Answers

Answer:

(-10)² = 100

-10² = -100

Difference = 200

Step-by-step explanation:

For the individual expressions;

(-10)² = -10 * -10

(-10)²  = +100

For -10²

-10² = -(10*10)

-10² = -100

Taking the difference;

(-10)² - (-10²) = 100 - (-100)

(-10)² - (-10²) = 100 + 100

(-10)² - (-10²) = 200

Hence the difference is 200

How are angle 4 and angle 5 related?

Answers

they are supplementary angles

Answer:

C supplementary angles

Step-by-step explanation:

Reason: They Both Add Up To 180 Degrees

If x(x - 3) = 0, what are the two values of x that would make the statement 10 points
true?

Answers

Answer:

0 & 3

Step-by-step explanation:

First x is by itself so the root is 0

Second is 3 because you set x-3=0 and add 3 to the other side so x=3

Answer:

0 and 3

Step-by-step explanation:

You need to find the root of the equation, which would be 0, and 3.

To find the root, all you do is solve for x.

HELP ME PLEASE NEED HELP

Answers

Answer:

y = -3x - 6

Step-by-step explanation:

If a proportional relationship has a constant of proportionality of 6, what is a point that lies on the graph of
the line representing the relationship?

Answers

Answer:

(0,0) (1,6) (2,12)

Step-by-step explanation:

Proportional relationships are also known as direct variation, so I'll refer to it as DV.

The formula for finding DV is y=kx.

In this case, k=6, which is just y=6x. So, essentially..

(0,0) (1,6) (2,12) etc.

The points that lies on the graph of the line representing the relationship are (0, 0), (1, 60, and (2, 12).

What is Constant of Proportionality?

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

As, we know that the constant proportionality have

y= k x

where k is constant of proportionality.

We have given that constant of proportionality = 6

So, y= 6x

Now, when x=0

y=0

and, x=1

y= 6

and, x=2

y= 12

Hence, the points are (0, 0), (1, 60, and (2, 12).

Learn more about Constant of Proportionality here:

https://brainly.com/question/29126727

#SPJ2

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