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vitfil [10]
3 years ago
5

How do the asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5 ^ x ? a

. g(x) = 5 ^ (x + 3) b. h(x) = 5 ^ (- x)
Please help me

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

Step-by-step explanation:

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Coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers co
andrey2020 [161]

Answer:

The average temperature of coffee in the sample, which is 70.2.

Step-by-step explanation:

The population is all the costumers. The company has determined that they want the average coffee temperature to be 65 degrees C. So, 65 degrees C is the average of the population.

The sample is the 20 orders. The mean \mu of the sample is 70.2C(That is, the mean of the 20 orders0. So, the correct answer is:

The average temperature of coffee in the sample, which is 70.2.

3 0
3 years ago
Which of the following ratios is not equivalent to the following statement: The ratio of right-handed students to left-handed st
sukhopar [10]

In (A), we have 9 : 2.

Multiply by 2, we get 18 : 4

In (B), we have 36 : 8.

Divide by 2, we get, 18 : 4.

In (D), we have 54 : 12.

Divide by 3, we get, 18 : 4.

Hence, (C) is not equivalent to the given statement.

6 0
3 years ago
A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
The ball park is selling a hamburger combo. At the end of the day, they collected $103.95. If a total of 21 hamburger combos wer
Evgesh-ka [11]

Answer:

Each combo costed $4.95

Step-by-step explanation:

To solve, simply divide 103.95 by 21, and then put a dollar sign. (Most teachers would count no dollar sign as incorrect/points off, so don't forget it!)

103.95 ÷ 21 = 4.95 → $4.95

<em>Hope this helps!</em>

5 0
3 years ago
How do you know whether two quantities x and y are proportional?
ANEK [815]

Answer:

I'm pretty sure it is (a)

8 0
3 years ago
Read 2 more answers
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