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3 years ago

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

The slope also increases

Step-by-step explanation:

The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.

For a function represented by $y=2^x$ , this is an exponential function representing growth, the slope of $y=2^x$ is also $2^x$ , therefore as the value of x increases, the value of the slope also increases.

At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.

You might be interested in

What is the mean of the set of data given below? 13 8 9 6 10 8

olga_2 [115]

Answer:

Mean = The numbers added up and divided by the number of numbers.

Step-by-step explanation:

= (13 + 8 + 9 + 6 + 10 + 8) / 6

= 54 / 6

= 9

The mean is 9.

8 0

3 years ago

A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup

photoshop1234 [79]

Note: Consider all the numeric values are in the fraction form. Like $14\to \dfrac{1}{4}$ , $23\to \dfrac{2}{3}$ etc.

Given:

A recipe calls for $\dfrac{1}{4}$ cup of brown sugar for every $\dfrac{2}{3}$ cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for $\dfrac{2}{3}$ cup of white sugar = $\dfrac{1}{4}$ cup

Using this, we get

Required brown sugar for 1 cup of white sugar = $\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}$ cup

$=\dfrac{1}{4}\times \dfrac{3}{2}$ cup

$=\dfrac{3}{8}$ cup

So, $\dfrac{3}{8}$ cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

6 0

3 years ago

Learning goal: to understand the rules for computing dot products. let vectors a=(2,1,−4), b=(−3,0,1), and c=(−1,−1,2). part a -

miv72 [106K]

For this case we have the following vectors:
$a = (2,1, -4)

b = (- 3,0,1)

c = (- 1, -1,2)$
The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
$a.b = (2,1, -4). (- 3,0,1)

a.b = (2) (- 3) + (1) (0) + (-4) (1)

a.b = - 6 + 0 - 4

a.b = - 10$
Answer:
The product point of the vectors a and b is:
$a.b = - 10$

3 0

3 years ago

Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

3 years ago

How to convert 4.5 into a decimal

zepelin [54]

Answer:

do you mean a fraction? if so..

Step-by-step explanation:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510= 9/2

which as a fraction means 4 and because you have 1 left over from the 9 its 4 1/2 or 4.5 :)

4 0

3 years ago