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2 years ago

The graph of y = –0.2x2 is the graph of y = x2.

Mathematics

2 answers:

ycow [4]2 years ago

8 0

Answer:

The graph of y = –0.2x2 is

✔ wider than and opens in the opposite direction of

The graph of y = x2.

Step-by-step explanation:

Edge 2020

fiasKO [112]2 years ago

3 0

The graph of y = –0.2x2 is

✔ wider than and opens in the opposite direction of

the graph of y = x2.

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Match each region with the type of association found between its butterfly population and change in temperature. positive linear

Neko [114]

The first thing you should do is plot each region with respect to the temperature and then observe the behavior of each region.
Region A: not observable trend
Region B: exponential trend
Region C: negative linear trend
Region D: positive linear trend
Graphic attachment

7 0

2 years ago

Read 2 more answers

Suppose that a company's sales were $1,000,000 6 years ago and are $9,000,000 at the end of the 6 years. Find the geometric mean

Dmitriy789 [7]

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

$y(-6)=1,000,000\\\\y(0)=9,000,000$

We can write the relation between these two values as:

$y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422$

The geometric mean growth rate of sales is 1.4422.

6 0

2 years ago

9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?

ozzi

Answer:

You'd be $2 * 10^{-6}$ times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

$D_1 = 2 * 10^{-8}m$

$D_2 = 1\ cm$

To determine how tall you'd be, we need to divide D2 by D1;

$Ratio = \frac{D_2}{D_1}$

Substitute values for D2 and D1

$Ratio = \frac{2 * 10^{-8}m}{1\ cm}$

Convert cm to m

$Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}$

$Ratio = \frac{2 * 10^{-8}m}{0.01\ m}$

Convert denominator to exponents

$Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}$

$Ratio = \frac{2 * 10^{-8}}{10^{-2}}$

Apply Law of indices

$Ratio = 2 * 10^{-8} * 10^2$

$Ratio = 2 * 10^{-8+2}$

$Ratio = 2 * 10^{-6}$

Hence;

You'd be $2 * 10^{-6}$ times tall

4 0

2 years ago

The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is

Ede4ka [16]

Answer:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is $\sqrt{18}$ or in simplified terms, 3 $\sqrt{2}$