Mathematics College

The function f(x) varies inversely with x and f(x)=0.5 when x = 0.15.
What is f(x) when x = 2.5?

Answers

Answer 1

Answer:

0.03

Step-by-step explanation:

Standard equation of inverse variation:

y = k/x

In function notation it is

f(x) = k/x

We are given f(0.15) = 0.5

0.5 = k/0.15

k = 0.5 * 0.15

k = 0.075

The function is

f(x) = 0.075/x

For x = 2.5,

f(2.5) = 0.075/2.5

f(2.5) = 0.03

Answer: 0.03

Related Questions

Write an equivalent expression 2x + 10

Answers

Answer: 2 (x+5)

Step-by-step explanation:

Answer:

x+5

Step-by-step explanation:

Pls help urgently extra points and mark brainlist

Answers

Answer:

You got it right it is the second option

Step-by-step explanation:

I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)

Answer: the last one

Step-by-step explanation:

How does a 90° counterclockwise rotation about the origin change the coordinates of a shape

Answers

Answer:

Step-by-step explanation:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Answer:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Step-by-step explanation:

A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.

Answers

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Is (7. - 1) a solution of y = x -8?
Yes

No

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values in for x and y to check.

-1 = 7 - 8

-1 = -1

In this instance, (7, -1) is a solution of y = x - 8.

State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°

Answers

Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS

Step-by-step explanation:

IN the given triangles (ΔQRS and ΔUTV),

m∠R = 29° and m∠T = 29°  (given)

[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]

By SAS similarity rule , ΔQRS ≈ ΔUTV .

Correct option: B. ΔQRS ≈ ΔUTV, SAS

The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.

7% of what length is 200 feet ​

Answers

Answer:

Roughly 2857.14

Step-by-step explanation:

Answer:

2857.14285714 feet.

Step-by-step explanation:

If we put your question into an equation, we get:

7/100 * n = 200

We multiply both sides by 100 to get rid of the fraction, and get:

7n = 20000

Then, to find n, we divide both sides by 7.

Therefore,

n = 2857.14285714.

Based on the graph, if Joe earned $400, how many hours did he work?

Answers

About 45 to 46 hours
45 or 46 hours most likely in between.

In a standard Normal distribution, what percentage of observations lie above z = 0.16?

14.46%
43.64%
56.36%
85.54%

Answers

Answer:56.36

Step-by-step explanation:

The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The percentage of observations lie above z = 0.16 will be given as,

⇒ P(z < 0.16) x 100

⇒ 0.5636 x 100

⇒ 56.36%

The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

example of 12 hours and 50 minutes add 8 hours 46 minutes step by step yarr please urgent tommorow is my paper ​

Answers

Answer:

21:36

Step-by-step explanation:

add the hours

add the minutes

if minutes are 60 or more

subtract 60 form minutes

and add 1 to hours

Find the percent markup. Round to the nearest whole percent. Store's cost: $100.00 Selling price: $160.00

Answers

Answer:

im here for the points

Step-by-step explanation:

PLEASE HELP ASAP I WILL GIVE YOU THANKS BRAINIEST.

Answers

Answer:

subtracting 2 from 5 is not possible in first step

so. D. subtract 5 and 3 is the correct option

Step-by-step explanation:

2 can't be subtracted from 5 here because 2 is multiplied by (x- 7)


Helpppp meee (10 points )

Answers

The answer:
122


Explanation:
Do you need one ?

Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form

I need help​

Answers

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Calculation of the sine, cosine, and tangent:

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

15 is ______% of 400 part, percent, whole?

Answers

Answer:

15 is 3.75% of 400

Step-by-step explanation:

Hi there!

First we divide 15 by 400 to get 0.0375.

To find the percentage, more the decimal point two spaces to the right.

This would become 3.75

That’s your percentage!

Hope this helped!

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

How do you write the unit rate for 1/5÷1/15

Answers

Answer:

3

Step-by-step explanation:

1/5 / 1/15 = 3

helppppppppppppppppp​

Answers

Answer:

library-6

auditoriam-54

Write 270g as a fraction of 1.5kg

Answers

Answer:

9:50

Step-by-step explanation:

270/1500

divided by 10

27/150

divided by 3

9:50

6. Moira has a canvas that is 8 inches by 10 inches. She wants to paint a line diagonally from the top left corner to the bottom right corner. Approximately how long will the diagonal line be? show work​

Answers

Answer:

12.8in

Step-by-step explanation:

Pythagorean theorem

8^2 + 10^2 = c^2

64 + 100 = 164 = c^2

C= 12.8in

Answer:

from fithagorh the line =

[tex] \sqrt{10 ^{2} + 8 ^{2} } = \sqrt{164} = 12.961 \: inch[/tex]

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.

Required:
State the null and alternative hypotheses.

Answers

Answer:

We reject H₀

Step-by-step explanation:

Normal Distribution with  n  = 22   ( sample size)

n<30 we need to use a t-student distribution

Sample mean  μ =   396        

Population mean  ( required mean )  μ₀  = 405

Sample variance is  441 then sample standard deviation s = √441

s  =  21

Hypothesis Test

Null Hypothesis                                          H₀         μ   =   μ₀

Alternative Hypothesis                               Hₐ       μ   <   μ₀

Significance level   α = 0,1    

The test is a one-tail test to the left

From t-student table we find for  t(c)

degree of fredom     df  = 22 -1       df  =  21

and  α = 0,1           t(c)  =  - 1,3232

To compute t(s)

t(s)  =  ( μ  -  μ₀ ) / s /√n

t(s)  =  ( 396  - 405 )*√n / 21

t(s)  =  - 9 *4,69 /21

t(s)  =  -  2,01

Comparing

t(s) and  t(c)          - 2,01     and   - 1,3232

|t(s)| > |t(c)|   then   t(s) is in the rejection region we must reject H₀

which fraction is equivalent to 6/12

Answers

1/2 is the answer....................

Answer:

1/2

Step-by-step explanation:

....................

complete the equation of the line whose y-intercept is (0,5) and slope is -9


y= ???​

Answers

y= -9x+5

The slope intercept formula is y=mx +b, where m is the slope and b is the y-intercept. We know that m is -9 because that’s the slope and b is 5 because the y-intercept is at (0, 5), meaning that’s where the line crosses the y-axis.

NEED HELP AILL GIBE 20 point...

Answers

9514 1404 393

Answer:

  36°

Step-by-step explanation:

BY bisects angle B, which has a measure of 72°. That means angles 3 and 4 are each half of 72°, or 36°.

  m∠4 = 36°

Triangle IHJ is similar to triangle RST.
What is the length of side _
RT

Answers

6 mm

Set up a proportion of 12/9=8/x. Cross multiply and this gives us 12x=72. Now divide both sides by 12 and you get 6.

R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP​

Answers

A=5 and 0=5A is there answer

3x3z−6z for z=5 solve pllllsslssss

Answers

hi luv!!!
i’m doing the problem right now, so in the first part. do you want me multiply 3x with 3z?

how do I write the expression using exponents.8⋅w⋅w⋅w⋅w

Answers

Answer:

8w^4

Step-by-step explanation:

hope this helps!

8+3(p-9)
Pleaseeee helppp

Answers

Answer:

3p - 19

Step-by-step explanation:

8 + 3(p - 9)

Distribute;

8 + 3p - 27

Collect like terms;

-19 + 3p

3p-19 by using addition and the distributive property

what is the answer for 4+3x=-56

Answers

Answer:

x=-20

Step-by-step explanation:

3x=-56-4

3x=-60

x=-20

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