Please who could help me

Mathematics

1 answer:

Dmitrij [34]2 years ago

6 0

41) Circumference of a circle is 2*pi*radius, or pi*diameter.
Diameter given is 0.5cm, so circumference is 0.5pi, approximately 1.57cm.

It says scale is 1 cm to 2.5ft. Use dimensional analysis. You can multiply by 2.5ft / 1 cm because it equals 1, and multiplying by 1 doesn't change the value (just the units here).

1.57cm * 2.5ft
-------- = 3.925ft
1 cm
C) 4 feet

42) 6% of $900 is 0.06*$900, which is $54.

$900 is including tax, so subtract the tax ($54) to get the price before tax.
$900 - $54 = $846
A) $846

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Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔

bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$(x_1, y_1)$ and $(x_2, y_2)$ are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

$h(0) = 3(5)^0 = 3 \cdot 1 = 3$

$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

$h(2) = 3(5)^2 = 3 \cdot 25 = 75$

$h(3) = 3(5)^3 = 3 \cdot 125 = 375$

Now, let's find the slopes for each of the sections of the function:

Section A

$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

Section B

$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

$\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25$

It is 25 times greater. This is because $3(5)^x$ is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.