Write an equation for the statement. Then, solve the equation:
The volume of a can varies jointly as the height of the can and the square of its radius. A can with an 8 inch
height and 4 inch radius has a volume of 402.12 inches cubed. What is the volume of a can that has a 2 inch
radius and a 10 inch height?

PLZZ help

Answer:

last option is the answer

Step-by-step explanation:

the answer cannot be the two middle options because you can see the y-intercept is 2 so the equation must end with that

now you have to determine if the slope of the line is -5 or -1

you can find the slope by selecting two points on the line; for example, (0,2) and (1,1) and using formula:  difference of y-values       2 - 1  

                                              difference of x-values        0 - 1

the slope is -1

Step-by-step explanation:

[tex] \frac{6x - 2}{30} = \frac{5x + 13}{36} \\ 36(6x - 2) = 30(5x + 13) \\ 6(6x - 2) = 5(5x + 13) \\ 36x - 12 = 25x + 65 \\ (36 - 25)x = (65 + 12) \\ 11x = 77 \\ x = \frac{77}{11} \\ x = 7[/tex]

You can use the properties that similar triangles have sides scaled.

The value of x is 7.

Since it is given that PTS ~ PQR, thus, let the scaling is done by factor f. Then we have:

[tex]|PT| = f \times |PQ|\\ |TS| = f \times |QR|\\ |SP| = f \times |RP|[/tex]

Thus, we get the ratio of length of PT and length of TS as:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{f \times |PQ|}{f \times |QR|} = \dfrac{|PQ|}{|QR|}[/tex]

Using the values specified in the given figure for above obtained equation, we get:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{|PQ|}{|QR|}\\ \\ \dfrac{36}{30} = \dfrac{5x + 13}{6x-2}\\ \\ \text{Cross multiplying, the denominators},\\\\ 36(6x-2) = 30(5x+13)\\ 216x - 72 = 150x + 390\\ 216x - 150x = 390 + 72\\ 66x = 462\\\\ x = \dfrac{462}{66}\\\\ x = 7[/tex]

Thus, the obtained value of x is 7.

Learn more about similar triangles here:

https://brainly.com/question/19387334

Answer:

D

Step-by-step explanation:

(6, 24)  this ordered pair has an x-value of 6 and a y-value of 24

The only equation, if you substitute those values into it, which works is D.

24 = 4(6)

24 = 24

Answer:

[tex]\huge\boxed{\sf x = 12 }[/tex]

Step-by-step explanation:

Opposite sides and angles of a parallelogram are equal.

So,

3x - 1 = 35

Add 1 to both sides

3x = 35 + 1

3x = 36

Divide 3 to both sides

x = 36 / 3

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

10th number in the sequence is 786432

n = 4

Step-by-step explanation:

Multiply the following number by 4 (starting at #4) until you reach the 10th number in the sequence

Answer:

I believe the answer is A and D.

Answer:

it would be only one solution

Step-by-step explanation:

Answer:

TU = 8.4

Step-by-step explanation:

The geometric figure consists of the following segments;

1) 4 parallel lines, WS, YR, XQ, and, VP

2) Three transversals, VW, PS, and, TU

The given parameters are;

PQ = QR = RS

Therefore, given that the transversal, PS, makes equal intercept with the 4 given parallel lines, by equal intercept theorem, the transversal TU will make equal intercepts with the given parallel lines

Therefore;

TX = 2.8 = XZ = ZU

From which we have, by segment addition postulate;

TU = TX + XZ + ZU

∴ TU = 2.8 + 2.8 + 2.8 = 8.4

TU = 8.4.

Answer:

A - 105

Step-by-step explanation:

since the two measurements are supplements, you do x+82+x+112=180. then you get x=-7. then you do 112-7=105

Answer:

105°

Step-by-step explanation:

A line equals 180, so take the two expressions and set them equal to 180:

x+82+x+112=180

simplify:

2x+194=180

2x=-14

x=-7

now plug the x value into the bolded expression

x+112

-7+112 = 105°

Question:

Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.

a. What fraction represents his constant speed, c?

b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes.  Write the fraction that represents constant speed, c, if he travels a distance of y.

c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s  friend’s house is from school. Round your answer to the tenths place.

Answer:

(a) [tex]c = \frac{3.8}{18}[/tex]

(b) [tex]c = \frac{y}{10}[/tex]

(c) 2.1 miles

Step-by-step explanation:

Solving (a):

Given

[tex]Distance = 3.8\ miles[/tex]

[tex]Time = 18\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{3.8}{18}[/tex]

Solving (b):

Given

[tex]Distance = y[/tex]

[tex]Time = 10\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{y}{10}[/tex]

Solving (c): Write (a) and (b) as proportions and solve for y.

As a proportion, we have

[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]

Multiply both sides by 10

[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]

[tex]y = 10 * \frac{3.8}{18}[/tex]

[tex]y = \frac{38}{18}[/tex]

[tex]y = 2.11111[/tex]

[tex]y = 2.1\ miles[/tex]  ---- approximated

8/5 = 1 3/5

(5 x 1 = 5 + 3 = 8, to get 8/5)

13/12 = 1 1/12 (12 x 1 = 12 + 1 = 13, to get 13/12)

Hope this helped! :D

Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

Here we can see that the graph is below the x-axis in those intervals, then here we have:

f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

f is positive on the interval  (2,∞)

3) fi is ------ on the interval (0, 4/3)

In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

4) f is------ on the intervals (−∞, 0) and (4/3, ∞).

In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

Answer:67

Step-by-step explanation:

Step-by-step explanation:

A= 4(pi)r^2

A=4(3.14159265359)13^2

A=2123.72

**I dont know if it's right or wrong.**

Answer:

$8.75

Step-by-step explanation:

Set up a proportion where x is the cost of a bottle with 250 vitamins:

[tex]\frac{150}{5.25}[/tex] = [tex]\frac{250}{x}[/tex]

Cross multiply and solve for x

150x = 1312.5

x = 8.75

So, it will cost $8.75 for a bottle with 250 vitamins

Answer:

3348 ft

Step-by-step explanation:

sin 21° = BC/AB = 1200/AB

AB = 1200 / sin 21° = 1200 / 0.358 =  3352 ≈ 3348

WHAT IS THAT ? THX

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Answer:

See explanations below

Step-by-step explanation:

Given the system of equation

2x - 10 y = -30 ... 1

x - 5y = 20 ... 2

Step: From 2;

x = 20 + 5y ...3

Step 2: Substitute equation 3 into 1

2x - 10y = -30

2(5y+20) - 10y = -30

Open the bracket

10y + 40 - 10y = -30

10y - 10y + 40 = -30

0+40 = -30

40 = -30

The steps taken by Teri are correct all through. He didn't make any error whatsoever

Answer:

The correct answer is,

[tex] \frac{7}{16} [/tex]

hope it helps.

have a great day.

Answer:

1 3/4 ÷ 4 = 7/16.

Step-by-step explanation:

Is your answer.

Answer:2 3/ 8

Step-by-step explanation: 5 1/8 - 2 3/4

                                            = 41/ 8  - 11/4

                                          = 41/8 - 22/8

                                           =19/8

                                        =2 3/ 8

Change to improper fraction .Then make the denominator the same ,make both denominator to 8 . Now you have 41/8 and 22/8 ,you can subtract it and it gives you 19/8.Lastly you make the improper fraction to mixed  numbers which is 2 3/ 8 .

Answer:

6 and 8

Step-by-step explanation:

vertical lines yes, theyre across from each other making it vertical line

Vertical angles are the angles at the opposite sides of a transversal

The vertical angles are <6 and <8

For a pair of angles to be vertical angles, there must be a transversal line, and the two angles must be at the either sides of the transversal

This means that the following angles are vertical angles

Hence, the vertical angles are <6 and <8

Read more about vertical angles at:

https://brainly.com/question/14362353

Answer:

4^9

262144

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

75% of 20 = 15

I believe this is correct and hope it helps :)

Answer:

y=4/3x+7/3

Step-by-step explanation:

I don't know if this is right.

Answer: -5 and 5

Step-by-step explanation:

-5 plus 5 added has a sum of 0

Answer:

Assuming T = ton:

1440000 ounces

Step-by-step explanation:

1 ton = 2000 pounds

1 pound = 16 ounces.

So 45 tons = 2000 * 16 * 45 ounces.

Answer:

-16m-6

Step-by-step explanation:

use distributive property, you get -16m-6

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Hey there!

Hey there!

–2(8m + 3)

Distribute

–2(8m) + –2(3)

–2(8m) = –16m

–2(3) = —6

Answer: –16m – 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Yes

Step-by-step explanation:

If you multiply the 3 into the equation it will give you 3x+3 3/2 -3 and if you simplify it the answer is 3x+4 1/2 -3=3x +1 1/2.

3x+1 1/2 = 3x + 1 1/2

Answer:

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²