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3 years ago

Simplify. 863x14y9−−−−−−√

Mathematics

2 answers:

Mariana [72]3 years ago

5 0

If you need any help on anything just get the app (Socratic)

ryzh [129]3 years ago

4 0

Answer: 1

Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1

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Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for whic

Ber [7]

Answer:

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

$\frac{f(b)-f(a)}{b-a}=f'(c)$ , where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

$\frac{4-(-4)}{(3\pi/2)-(\pi/2)}=f'(c)$

$\frac{8}{\pi }=f'(c)$

$f'(x)=-4cos(x)$ ⇒

$f'(c)=-4cos(c)=\frac{8}{\pi }\\c=acos(\frac{-2}{\pi })\\$

c≅130

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3 years ago

what is 79% of 800? that's all the questions but I can ask it cuz apparently it's to shirt but what is 79% of 800?

ahrayia [7]

Answer:

the answer is 632

Step-by-step explanation:

that is %79 of 800

3 0

2 years ago

Read 2 more answers

The population of a rabbit colony triples each month.

djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

$P(t) = P(0)(3)^t$

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that $P(0) = 5$

$P(t) = 5(3)^t$

How many rabbits are there after 6 months?

This is P(6). So

$P(6) = 5(3)^6 = 3645$

3645 rabbits after 6 months.

3 0

3 years ago

You are considering developing a regression equation relating a dependent variable to two independent variables. One of the vari

lys-0071 [83]

Answer:

Step-by-step explanation:

a. How many dummy variables are needed to represent the categorical variable?

We need 1 less dummy variable than outcomes for the categorical variable.

categorical variable has 2 outcomes

So, we need 2-1 = 1 dummy variable.

Answer: 1

Note: If our categorical variable had 5 outcomes, we would need 5-1 = 4 dummy variables.

b. Write the multiple regression equation relating the dependent variable to the independent variables.

Note: Depending your your professor, this can be written one of the following ways...

yhat = a + b1 x1 + bx2

yhat = b0 + b1 x1 + b2 x2

yhat = beta0hat + beta1hat x1 + betahat2 x2

where x1 is the ratio variable

and x2 is the dummy variable

c. Interpret the meaning of the coefficients in the regression equation.

b0 = the predicted value of y when x1 and x2 both equal 0.

b1 = the change in y when x1 increases by 1 unit holding x2 constant.

b2 = the predicted difference in y between the two possible outcomes of the categorical variable holding x1 constant.

7 0

3 years ago

It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se

ozzi

Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

Club A, with 10 students.
Club B, with 4 students.
Club C, with 5 students.

The possible combinations of 2 students from different clubs are

Club A with club B
Club A with club C
Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

Club A with club B: 10*4 = 40
Club A with club C: 10*5 = 50
Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

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2 years ago