If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.

A. 288
B. 48
C. 576
D. 144​

Answers

Answer 1

Answer:

288

Step-by-step explanation:

y= xkz

K= y/xz

= 24/2×1

= 24/2

= 12

y= xkz

= 12×12×2

= 288

Hence the value of y is 288


Related Questions

the question is in the picture

Answers

Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

!ANSWER ASAP! Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

Answer:  x = 3

Step-by-step explanation:

Subtract 1

 2^x = 8

Take the log.

 x·log(2) = log(8)

Divide by the coefficient of x.

 x = log(8)/log(2) = log₂(8)

We know that 8 = 2³, so log₂(8) = 3.

 x = 3

_____

If your equation is ...

 2^(x+1) = 9

then

 x + 1 = log(9)/log(2)

 x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).

 x ≈ 2.170

The value of x from the logarithmic equation is x = 3

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

2ˣ + 1 = 9   be equation (1)

On simplifying the equation , we get

Subtracting 1 on both sides of the equation , we get

2ˣ = 8

Now , taking logarithm on both sides of the equation , we get

log ( 2 )ˣ = log ( 8 )

From the laws of logarithm , we can simplify

x log ( 2 ) = log ( 8 )

And , on further simplification , we get

x log ( 2 ) = log ( 2 )³

So , x log ( 2 ) = 3 log ( 2 )

Divide by log ( 2 ) on both sides of the equation , we get

x = 3

Hence , the value of x = 3

To learn more about logarithm click :

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Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.

Answers

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?

Answers

the slope of the green line would also be 3. this is because the lines are parallel which means they have the same slope.

please answer this question​

Answers

itss 11

Step-by-step explanation:

no worries about it is the same time for me

The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.

Answers

Answer:

7.11

Step-by-step explanation: Area=lengthxwdth

64=lengthx9

64/9=length

7.11=length

I need the answers for this question please

Answers

its triangle and 7.3 and 23.7 hope this helps

The heights of 4 different people are: 1.55m, 1.52m, 1.81m, and 1.91m. The range of these
heights is:

Answers

the answerr would be 0.39 cm

A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?

Answers

The discount is $35.00
The sales tax is $8.25
So the final cost of the tent is
146.00-35.00=$111.00
111+8.25= 119.25

Your answer is $119.25

the discount price was 29.2

step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay

the amount of gas used by a household is shown in the table. what is the slope of the data from the table

Answers

Answer. i cant answer this without a pic of the slope

Step-by-step explanation:

There is no picture provided

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

Brianna evaluated the expressions 42+4 (6-2). Which number shows the correct solution.
52,58,62,68

Answers

Answer:

58

Step-by-step explanation:

42+4(6-2) =

42+4(4) =

42+16 = 58

Answer:

58

Step-by-step explanation:

well first you have to do order of operations so do the stuff in the parentheses first so it would be 42+4(4) then you do multiplication and would get 42+16 and once you add that together you get 58

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

522 m^2

Step-by-step explanation:

I've circles the numbers that you actually need to solve this problem.

First, find the area of the bigger rectangle by multiplying the length and width.

24*21=504

Then find the area of the smaller rectangle the same way

3*6=18

then add them to get the total area

504+18=522

522 m^2

Plz stop deleting my questions! This is a urgent!!plz help meee!,

Answers

Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?

Answers

Answer: f is Parralel to g

Step-by-step explanation:

Answer:

You gave us no choices

Step-by-step explanation:

h is not parallel f

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

alternate exterior angles

The answer is the first one

Solve: 10(0.5x- 2) = -3x + 20 + 8x

Answers

Answer: no solution

Step-by-step explanation:

Answer:

10 × 0.5 x = 5x

10 × -2 = - 20

(5x-(-20)) = 5x + 20

-3x + 8x + 20 = 5x + 20

It was estimated that 650 people would attend bowling night, but 676 people actually attended.
What is the percent error, to the nearest percent of the estimate? Enter the answer in the box.

Answers

Simply divide 650/676=.9615 or 96.15%. So there was 3.85% error

The estimate's percent error is 4%, to the closest percentage.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Find the difference between the estimate and the actual value:

Actual value - Estimated value = 676 - 650 = 26

The absolute value of the difference is 26, indicating that the actual value exceeded the estimated value.

Next, we need to find the relative error, which is the difference divided by the estimated value:

Relative error = Difference / Estimated value = 26 / 650

Finally, we can convert the relative error to a percentage by multiplying it by 100:

Percent error = Relative error x 100 = 26 / 650 x 100 ≈ 4

Therefore, the percent error, to the nearest percent, of the estimate is 4%.

Learn more about percentages here:

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For every 1000 videos a channel gets it makes £2.50 from ad revenue. How many videos will the channel need to make £1

Answers

Answer: 400 videos

Step-by-step explanation:

1000/1 x 1/2.5 = 400

4. Solve the logarithmic equation for X:
log(x) -log(4) = 3

Answers

Answer:

X=7

Step-by-step explanation:

Consider the salt shaker shown.

5 cm

cm

What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.

Volume of Salt Shaker =

Answers

Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)

Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer

A) y= x^2+2x-1
Minimum or maximum

B) y=-x^2-8x-1
Minimum or maximum

C) y=2x^2+8x

Answers

Answer:

A)   minimum

B)   maximum

C)   minimum

Step-by-step explanation:

A positive x² coefficent means the parabola opens up and the vertex is the minimum

A negative x² coefficent means the parabola opens up and the vertex is the maximum

---------------------------------

A)   minimum

B)   maximum

C)   minimum

What is the measure of angle x?

Enter your answer in the box.

Answers

Answer:

x = 48º

Step-by-step explanation:

x = 90 -42

x = 48º

Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?

Answers

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Which statement is the best reason that the author includes conversations with the dog in the book Travels with Charley? A. It shows that a dog really is a man’s best friend. B. This dog is unusually responsive to people. C. It presents an alternative way for the author to show his thoughts. D. The author cannot find any people to talk to.

Answers

Answer its b because im right

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Write a sine function that has an amplitude of 5, a midline of 2 and a period of 8pi/5.

Answers

Answer:

f(x) = 5*sin( (5/4)*x) + 2

Step-by-step explanation:

A general sine function can be written as:

f(x) = A*sin(w*x) + M

Where:

A is the amplitude

w is the frequency of the function

M is the midline

Here we know that we want to have:

An amplitude of 5. Then, A  = 5

A midline of 2, then M = 2

And a period of (8/5)*pi

For now, we can write our function as:

f(x) = 5*sin(w*x) + 2

Now, we know that for a function of period T, is always true that:

f(x) = f(x + T)

here, the period is T = (8/5)*pi

knowing that sin(0) = sin(2*pi)

Then we must have:

sin(0) = sin(w*0) = sin(w*( 0 +  (8/5)*pi)) = sin(2*pi)

Then the arguments of the third and fourt parts must be the same, thus:

w*(8/5)*pi = 2*pi

We can solve this for w now:

w*(8/5) = 2

w = 2*(5/8) = (5/4)

Then the function is:

f(x) = 5*sin( (5/4)*x) + 2

give your answer as a mixed number

will someone show me how
to work out questions like this in the pictures step but step​

Answers

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - [tex]1\frac{1}{3}[/tex]

Find;

The value of given expression

Computation:

⇒ 17/3 - [tex]1\frac{1}{3}[/tex]

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3


72% of what number is 144? Answer please

Answers

Answer:

103.68

Step-by-step explanation:

Answer:

103.68

To solve you would convert the percent to decimal form .72.

Then divide by 144

.72/144=103.68

your answer is 103.68

solve for x 9.2, 16.5, x

Answers

Answer:

152

Step-by-step explanation:

Solve for the value of a

Answers

Answer:

a= 90 i think

hope this helped

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