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Tpy6a [65]
3 years ago
10

11) the difference between the product of 4 and a number and the square of the number

Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

= 4x-x^2\\\\

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

= 4 * x\\\\= 4x

The the square of the number is given as;

= x^2\\

Taking the difference of both expressions above;

= 4x-x^2\\\\

Factor out the common term:

= x(4-x)\\\\

Hence the difference between the product of 4 and a  number and the square of the number is = 4x-x^2\\\\

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What is the volume of a right circular cylinder with a radius of 3in and a height of 10in
WARRIOR [948]

Answer:

282.6 inches cubed

Step-by-step explanation:

The volume of the cylinder with radius 3 in and height 10 in is

V=\pi (3^2)(10)= \pi (9)(10)= 90\pi = 90(3.14) = 282.6 in^3


7 0
3 years ago
What is the surface area of the triangular prism?
sasho [114]

Answer:

The answer is 168!

Step-by-step explanation:

6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!

5 0
3 years ago
Read 2 more answers
50 POINTS
mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

3 0
3 years ago
Please find the slope
olga nikolaevna [1]
After using the slope formula your answer would be 5/0.1 but when simplifying your answer is 50
7 0
3 years ago
Manuel is filling water balloons at a constant rate of 3 water balloons per minute. With the given information, which of these s
Gnesinka [82]
<span>Okay. Well it's C. 1/2 hour is 30 mins, so 30 times 3 is 90. Just as the answer states, 90 water balloons filled after 1/2 of an hour. </span>
6 0
3 years ago
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