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k0ka [10]
3 years ago
7

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.

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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
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