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Basile [38]
3 years ago
7

Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

<h2><em>B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>2(b)+2(3c)</em></h2>

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

=  2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>

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The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,

<span>    V = (1/3)(pi)(r^2)h          </span>

Dividing both sides of the equation by (1/3)(pi)(h) will give us,

<span>  3V/(pi)(h) = r^2</span>

Taking the square-root of both sides,

<span>  r = sqrt(3V/(pi)(h))</span>

3 0
3 years ago
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Find the relative rate of change fro each of the following functions. f(x)=x^3 -3x^2
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The rate of change is simply the derivative of a function with respect to the other variable. In this case the rate of change with respect to x is desired. Therefore 

f(x) = x^3 - 3x^2
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therefore the rate of change of y with respect to x is dy/dx = 3x^2 - 6x
7 0
3 years ago
marty made two types of cookies. he used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other. how much sugar did
Bezzdna [24]
He used 11/12 of sugar.

(1) I multiplied the factors and denominators by eachothers denominators
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7 0
3 years ago
What is 4 to the -2 power divided by 4 to the 4th power
igomit [66]

Answer:

4 to the -2 power divided by 4 to the 4th power

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3 years ago
A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired. It is k
stepan [7]
<h2>Answer with explanation:</h2>

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By analyzing the given information, we have the following hypothesis:-

H_0:\mu\geq81\\\\H_a:\mu

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

Also, the  accuracy ratings of people in the general population are normally distributed.

Given : Sample size :  n=51 , since n>30 so we use z-test.

Sample mean : \overline{x}=79

Standard deviation : \sigma=\sqrt{20}\approx4.47

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

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Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.05}=1.645

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to accept that people are less able to identify emotions correctly when they are extremely tired .

3 0
3 years ago
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