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2 years ago

If y=10 and x=2 what is the constant of variation (k)?

Mathematics

2 answers:

ki77a [65]2 years ago

8 0

K is always equal to y/x. So 10/2=5.

yarga [219]2 years ago

7 0

Answer:

Step-by-step explanation:

hope this helps

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The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gal

Leokris [45]

9514 1404 393

Answer:

driver's tank: 30,427 lb
farmer's tank: 12,811 lb

Step-by-step explanation:

The formula for the volume of a cylinder is ...

V = πr^2·h . . . radius r, height h

The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...

V = π(4 ft)^2·(19 ft) = 304π ft^3

Each cubic foot of gasoline has a mass of ...

(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3

Then the total mass in the driver's full tank is ...

(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb

The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.

The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.

The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.

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3 years ago

Camden accepted a new job at a company with a contract guaranteeing annual raises. Camden's salary after working for nn years ca

kaheart [24]

Answer:

2000

Step-by-step explanation:

Given the equation :

S=2000n+55000

Comparing the equation given to the standard linear equation formula :

y = mx + c

Where ; c = intercept ; m = slope ; y = dependent variable and x = independent variable

From The comparison, the slope of the equation given = 2000.

According to the context, the slope means that Camden salary will increase by 2000 each year.

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2 years ago

Identify the line with an undefined slope

Fudgin [204]

Answer:

d. vertical line

Step-by-step explanation:

A line with an undefined slope is a vertical line

Slope is the change in y over the change in x

When the slope is undefined, it means that the x does not change, which is a vertical line

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1 year ago

Read 2 more answers

Lara chose a square number. She rounds it to the nearest hundred. Her answer is 200. What are all the possible square number she

gogolik [260]

Your answer is going to be 20

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3 years ago

A room has three lightbulbs. Each one has a 30% probability of burning out within the month. Write the probability as a percenta

lesantik [10]

Answer:

97.3%

Step-by-step explanation:

Let the three bulbs be A, B and C respectively.

Let P(A) denote the probability that the first bulb will burn out

Let P(B) denote the probability that the second bulb will burn out

Let P(C) denote the probability that the third bulb will burn out

Now, we are told that Each one has a 30% probability of burning out within the month.

Thus;

P(A) = P(B) = P(C) = 30% = 0.3

Now, probability that at the end of the month at least one of the bulbs will be lit will be given as;

P(at least one bulb will be lit) = 1 - (P(A) × P(B) × P(C))

P(at least one bulb will be lit) = 1 - (0.3 × 0.3 × 0.3) = 0.973 = 97.3%

3 0

3 years ago

If y=10 and x=2 what is the constant of variation (k)?​

If y=10 and x=2 what is the constant of variation (k)?