Using a calculator, the slope of the line of best-fit is of 7.2.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, the points are given as follows:
(-4,-32), (-2,-8), (0,10), (2,8), (4,32).
Using the calculator, the equation is:
y = 7.2x + 2.
Hence the slope is of 7.2.
More can be learned about a line of best-fit at brainly.com/question/22992800
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<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49
answer
</span><span> (f o g)(4) = -49</span>
Hi. Okay, #16 says write a decimal between 0.5 and 0.75. Then write it as a fraction in simplest form and as a percent.
write a decimal = I will pick 0.15 - now we need to write it as a fraction since the 5 is in the hundredths place our fractions would be:
15/100 = 3/20 (simplest form)
Now to change .15 to a percent we simply move the decimal two places to the right and add a % sign so. 15 = 15%
Question 17
How would you write 43 3/4% as a decimal
For this one, it is a lot easier than you think. The answer is 43.75. Let me tell you how...
To change 3/4 to a decimal, you are merely dividing the 4 into 3.00, hence the .75 and then just bring the 43 over. With problem like this that end in 1/4, 1/2, 3/4 just think of 4 quarters---1 quarter =.24, 2 quarters = .50, 3 quarters =.75
Question 16 answer is: .15, 15/100=3/20 and 15%
Question 17 answer is: 43.75
I hope this helps. If you have any questions, please don't hesitate to ask.
Take care,
Diana
Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
13.5=x
Step-by-step explanation:
-3+6=2x-24
3=2x-24
+24 +24
___________
27=2x
÷2 ÷2
___________-
13.5 = x
Hope this helps :D