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Paraphin [41]
4 years ago
9

Evaluate 4g – 12 when g = 5.

Mathematics
1 answer:
LiRa [457]4 years ago
7 0

Answer:

Step-by-step explanation: 4(5)-12 = 20 -12= 8

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For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on
Genrish500 [490]
<h3>Answer:  3 m/s^2</h3>

=======================================================

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.

8 0
3 years ago
SOME ONE PLEASE HELP!! step by step explanation
leva [86]

2.) 4y = 2y - 10 - 2

--> 4y = 2y - 8 --> 4y - 2y = -8 --> 2y = -8

So y = -4.

3.) 6x - 9x - 4 = -2x - 2

Combine like terms:

--> -3x - 4 = -2x - 2

Isolate x ---> -3x - (-2x) = -2 - (-4)

----> -x = 2

So x = -2

4.) -2(2x + 3) = -4(x + 1) - 2

--> -4x - 6 = -4x - 4 - 2

Combine like terms ---> -4x - 6 = -4x - 6

This equation has many possible solutions.

5.) 3(x + 2) = -5 - 2(x - 3)

--> 3x + 6 = -5 - 2x + 6

Combine like terms ---> 3x + 6 = -2x + 1

----> 3x + 2x = 1 - 6

-----> 5x = -5

So x = -1.

6.) 2(x - 3) = \frac{1}{2}(4x - 12)

Distribute ---> 2x - 6 = 2x - 6

This equation has many possible solutions.

4 0
3 years ago
Simplify: 27w + 5w math
Genrish500 [490]

Answer: 32w

Step-by-step explanation:

8 0
3 years ago
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o. What is the length of the hypotenus
mojhsa [17]
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:

sine (theta) = opposite side / hypotenuse

sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
8 0
4 years ago
Read 2 more answers
Elmer started out with$103 in his bank account .he spent $4 per week at the cafeteria for snacks.what is the slope (m) for this
pochemuha

Answer:

The equation is y=-4x+103

The slope is m=-4

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

y is the amount left in the saving account

x is the number of weeks

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to

m=-\$4\ per\ week --> is negative because is a decreasing function

The y-intercept or initial value is

b=\$103

substitute

y=-4x+103

5 0
4 years ago
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