The quantity y varies directly with the square of x. If y=24 when x=3, find y when x is 4

Answers

Answer 1

Answer:

[tex]y = \frac{384}{9}[/tex]

Step-by-step explanation:

Given

[tex]y\ \alpha\ x^2[/tex] --- direct variation

[tex](x,y) = (3,24)[/tex]

Required

y when x = 4

[tex]y\ \alpha\ x^2[/tex]

Express as an equation

[tex]y = kx^2[/tex]

Substitute: [tex](x,y) = (3,24)[/tex]

[tex]24 = k*3^2[/tex]

[tex]24 = k*9[/tex]

Solve for k

[tex]k = \frac{24}{9}[/tex]

To solve for y when x = 4, we have:

[tex]y = kx^2[/tex]

[tex]y = \frac{24}{9} * 4^2[/tex]

[tex]y = \frac{24}{9} * 16[/tex]

[tex]y = \frac{24 * 16}{9}[/tex]

[tex]y = \frac{384}{9}[/tex]


Related Questions

Find the slope (m) and y-intercept (b) of each line.

Answers

Answer:

y-int:(0,-2)

slope: 5/2

Step-by-step explanation:

slope is rise over run, so you just need to find 2 points (0,-2) and (2,3) and calculate (3-(-2))/(2-0) and get 5/2. y intercept is just the point located at X=0

Answer:

The y-intercept is (0, -2) and the slope is 5/2

Step-by-step explanation:

1. Which expression represents the
factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)

Answers

Answer: Hello, There! your Answer is Below

A (x - 4)(x - 9)

Step-by-step explanation:

Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9

Hope this Helps you!!

Have a great day!!

The answer is choice A. The middle number, the one with the x, in this case 13, is what the factors should add up to. so, -4 plus -9 equals -13, which is our middle number. the last number, without the x, is what the numbers must multiply to, in this case 36. so, -4 times -9 equals positive 36. So, choice A is the answer.

Which of the following is the total distance, in miles, that Howard runs everyday?

Answers

Answer:

a

Step-by-step explanation:

Find the greatest power of 3 that is divisible of 100!

Answers

Answer:

There is no greatest power of 3 that is divisible of 100.

Step-by-step explanation:

Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?​

Answers

I think it’s A. m = -1 over 13

A 11/13

Step-by-step explanation:

1

13. Simplify the following: ​

Answers

Answer:

x^8

Step-by-step explanation:

x^3 x x^5

=x3*x5

=(x*x*x) * (x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2

Answers

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

I will give brainlist to who can answer these 4 questions correctly.

Answers

For 11 :

Height of the triangle is 7.2 in Area is 30.2 in .

Now , We'll find the Base :

Area of Triangle = 1/2 × b × h :

30.2 = 1/2 × b × 7.2

30.2 = 3.6 × b

30.2 / 3.6 = b

8.3 in = b

Now , we can say that the base is 8.3 in .

For 12 :

Area of Triangle = 1/2 × b × h :

25.5 = 1/2 × 11.1 × h

25.5 = 5.5 × h

25.5 / 5.5 = h

4.6 cm = h

Now , we can say that the height is 4.6 cm .

Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *

HELPP MEEE ASAP PLSS

Answers

A stands for area. So here we know that a squares area is side to the power of 2 and thats the only way to show area with exponent. So here we get A=4^2 feet squared. Hope it helped :)!

I need to add words but plz help me im stuck​

Answers

Answer:

A

Step-by-step explanation:

I think it is A because that measures the height of the triangle

Answer:

Option A shows the height of the triangle

Hope this helps!

Find the amount of tax and the tax rate. Round to nearest hundredth of a percent . Cost of item: $118 Selling price: $132.37 Tax Amount: $ Tax Rate percentage%​

Answers

Answer:

The amount of tax is $14.37 and the tax rate percentage is 12.18%

Step-by-step explanation:

Find the amount of tax by finding the difference between the cost and selling price:

132.37 - 118

= 14.37

Find the tax rate percentage by dividing the tax by the original cost, and multiplying it by 100:

(14.37/118) x 100

= 12.18

The amount of tax is $14.37 and the tax rate percentage is 12.18%

Complete the following equation using <,>, or = 7___24/4

Answers

Answer:

<

Step-by-step explanation:

Have a Great Day!!!

graph a line with slope 1/3 and y-intercept -2

Answers

I graphed it for you.

i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?

Answers

Answer:

20% of them we flavored vanilla that day

Step-by-step explanation:

can someone help me with math I don’t really understand it

Answers

1.) Crown pls ;)

A.) The domain is (-∞,∞) or (-infinity, infinity)

B.) The range is (0,∞) or (0, infinity)

C.) The y-intercept is (0,6)

D.) x-axis

E.) Base

2.)

Pls help I need a good grade

Answers

A

Step-by-step explanation:

m+n

2..................

In middle school 2/5 of boy makeup 250 percent of kids

Answers

Answer:

1

Step-by-step explanation:

250 percent of 2/5 is 1!

What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!

Answers

Answer:

N = 3M

Step-by-step explanation:

The long side of a rectangle is 2b + 3 units, and its area is 2b ^ 2 - 5b - 12 Find the width .

Answers

Answer:

b - 4

Step-by-step explanation:

This can be done by factoring.

Area = length x width

2b^2 - 5b - 12 = (2b + 3)( ???)

Factor the area into (2b + 3)(b - 4).  The width is b - 4.

Answer:

The answer is b - 4

Step-by-step explanation:

Please help me, no links or random answers, please. When you are writing the answer please number it so I know which answer is for which question.

Answers

Answer:

Step-by-step explanation:

a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.

b. Y intercept for l2 is point (0,2). Answer is 2.

c. l1 gradient is -1/2. Rise/run

So l1 equation is y = -1/2x + 4

l2 gradient is 1.

Equation is y = x + 2

e. x+2= -1/2x + 4

1.5x = 2

x = 1.333...

y = plug into one of the equations value of x. So y = 3.333...

f. 1.33+ 2 = 3.33

-1/2 times 1.33 + 4 = 3.33 (rounded)

Hey add me ages 11-13 please

Answers

No ur too young lol

can someone help me answer this please?

Answers

Answer:

300km

[tex]80km \times 3.75hrs = 300km[/tex]

300km

80km \times 3.75hrs = 300km80km×3.75hrs=300km

In the equation 2r - 7 = 15, what value of r makes this equation true?

Answers

Answer:

r = 11 makes 2r - 7 = 15 true.

Step-by-step explanation:

2r - 7 = 15

Add 7 to both sides.

2r = 22

Divide by 2.

r = 11

Proof:

2r - 7 = 15

2(11) - 7 = 15

22 - 7 = 15

15 = 15

Barak asked 50 students which type of flower they liked best. The results are displayed in the pie chart. If Barak asked 200 students which flower they liked best, how many students would you predict would choose tulips?
A. 15
B. 30
C. 60
D. 67​

Answers

Answer:

C. 60 among 200 students would like Tulip (Assuming pie chart - 15 among 50 students like Tulip)

Step-by-step explanation:

Percent students liking tulip = (Tulip liking students / Total students) x 100

= (15 / 50) x 100 = 30%

Expected students to like Tulip among 200 students =  30% of 200

( 30 / 100 ) x 200

= 60 students

I NEED HELP NOW PLEASE

Answers

Answer: B : Stretches vertically by factor 3

Step-by-step explanation: Can you mark this brainliest if this is right?

On a certain hot summer day, 606 people used the public swimming pool the daily prices are 1.50 for children and 2.00 for adults the receipts for admission totaled 1042.50 how many children and how many adults swam at the public pool that day

Answers

Answer:

rsgsadfg

Step-by-step explanation:

d dhrtyeyerte

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

Required:
At the 0.10 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?

Answers

Answer:

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.

At the null hypothesis, we test that the mean is 69, that is:

[tex]H_0: \mu = 69[/tex]

At the alternate hypothesis, we test that the mean is less than 69, that is:

[tex]H_a: \mu < 69[/tex]

The test statistic is:

As we have the standard deviation for the sample, we use the t-statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

69 is tested at the null hypothesis:

This means that [tex]\mu = 69[/tex]

Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

This means that [tex]n = 36, X = 64, s = 8.8[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}[/tex]

[tex]t = -3.41[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.

With calculator help, the pvalue is 0.0083.

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Answer this simple quick question!! Pls :)

Answers

Answer:

D

pls mark me as Brainiest  :}

Step-by-step explanation:

If the spinner to the right is spun once, what is the probability

that it lands on a star or a shaded region?

Answers

Answer: i think its star because it sounds right and well i tryed it before and you should to.

Complete the statement.
63 mi
mi
h
sec

Please answer ASAP worth 25 points

Answers

0.0175 mi/sec, that is the answer

Answer:

63miles/hour=63miles/[60×60]sec=

0.0175miles/sec

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