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3 years ago

Write the rational number -19 in the form a/b

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

3/2

sorry if i'm wrong but hope this helps : )

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For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .

Replacing values

$m=\frac{f(b)-f(a)}{b-a}$

$m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}$

$m=\frac{1-6-(8-6)}{3}$

$m=\frac{-5-(2)}{3}$

$m=\frac{-5-2}{3}$

$m=\frac{-7}{3}$

$m=-\frac{7}{3}$

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is $-\frac{7}{3}$

4 0

3 years ago

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

disa [49]

Answer:

Option A $V_B=19\ cm^3$

Step-by-step explanation:

The volume of a cone is:

$V_B = \pi\frac{hr ^ 2}{3}$

The volume of a cylinder is:

$V_A = \pi(r ^ 2)h$

Both figures have the same height h and the same radius r.

The volume of the cylinder $V_A = 18\pi\ cm ^ 3$

We want to find the volume of the cone.

Then, we find r and h:

$V_A = 18\pi = \pi(r ^ 2)h$

We simplify.

$V_A = 18 = (r ^ 2)h$

Then the product of $(r ^ 2)h = 18$ .

We substitute this in the cone formula and get:

$V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3$

8 0

3 years ago

Read 2 more answers

Please help me . the image is attached

Vedmedyk [2.9K]

Answer:

50 times.

Step-by-step explanation:

Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)

Because you are running the experiment 200 times, multiply 200 by 1/4:

200/4 = 50 times.

Hope this helps!

7 0

4 years ago

PLEASE ANSWER ME ASAP!!**NO LINKS!!**THANK YOU SOOO MUCH IF YOU HELP ME!! =D

Morgarella [4.7K]

Answer:

The best deal is the middle one.

Step-by-step explanation:

35.95 with a 20% discount.

You can do this the straight forward way. Take 20% 35.95

20/100 * 35.95 = 7.19

Now subtract this from 35.95

35.95 - 7.19 = 28.76

15/100 * 29.75 = 4.46

29.75 - 4.46 = 25.28

25% * 38.49 = 9.62

38.49 - 9.62 = 28.86

6 0

3 years ago

Compare 51.5 hectograms to 51,500 decigrams. How do each of these values compare to a gram and which represents a larger mass?

snow_lady [41]

51.5 Hectograms + 5100 Grams
51,500 Decigrams = 5100 Grams

They have same mass because they equal each other.

5 0

3 years ago

Read 2 more answers