MATHEMATICS COLLEGE

Give an example of a like term for each of the following: a. 14y b. -9b c. 200 d. h^2​

Answers

Answer 1
Answer:

Answer:

a. 14y + 7y+ 8y

b. -9b + 9b+ 2b

c. 200 - 100 - 100

d. h^2 + h^2 + h^2

Step-by-step explanation:

They are like terms since you can add them.

Please give brainliest (:

Good Luck

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On a farm there are 50 sheep and a farmer how many feet are there in total

Answers

Answer:

200 sheep legs and 2 farmer legs, or 202 legs in total.

Step-by-step explanation:

One sheep has 4 legs. and there are 50 sheep. So, we have to multiply 50*4 to get 200. Then, we have to add the two legs the farmer has. 200 + 2 = 202. Therefore, there are 202 legs on the farm.

Finding the work done in stretching or compressing a spring. Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.

In this problem we assume that the force applied doesn't distort the metal in the spring.

A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Final answer:

To find the force function of a spring using Hooke's Law, you first identify the spring constant 'k' using the given work done and extension. In this case, we found 'k' to be 137.5 N/m. Hence, the force function F(x) for the spring comes out to be 137.5x N.

Explanation:

The problem revolves around Hooke's Law, which is used to determine the force needed to stretch or compress a spring by a certain distance away from its equilibrium position. This law can be mathematically represented as F(x)=kx, where 'F(x)' represents the force applied, 'k' is the spring constant, and 'x' is the distance.

In this question, the work done (W) to stretch the spring is given as 11 J, and the extension (Δx) is 0.4 m (from 2 m to 2.4 m). The work done on a spring is calculated by the equation W = 1/2 * k * (Δx)^2. From this, you can solve for 'k' value. Once you have 'k', you can find the force function F(x) for the spring.

1. Calculate 'k' using the work done equation:

11 J = 1/2 * k * (0.4 m)^2 ➔ k = 137.5 N/m

2. Substitute 'k' in F(x):

F(x) = 137.5 N/m * x

Hence, the force function F(x) = 137.5x N is required to extend the spring by 'x' metres.

Learn more about Hooke's Law here:

brainly.com/question/32317230

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The width of a picture frame is x inches and the length is x+3 inches, what is the value of x if the area must be 40 square inches

Answers

Answer:

x = 5

Step-by-step explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

A=l* b

Putting all the values,

x(x+3)=40\n\nx^2+3x-40=0\n\nx^2+8x-5x-40=0\n\nx(x+8)-5(x+8)=0\n\n(x-5)(x+8)=0\n\nx=5,-8

Neglecting x = -8.

So, the value of x is 5.

35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!

Answers

I believe it’s B
Good luck!!!

Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply. f(x) = –(x + 1)2 – 2 f(x) = –|x + 4| – 5 f(x) = –|2x| + 3

Answers

Answer:

A

C

D

Step-by-step explanation:

Need help ASAP What’s the area of a sum

Answers

I believe the answer to you question is going to be 33x^2-50x+8.

Hope this helps!!:))
The answer is C.) or the third one
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