Two variables are said to interact when ____. a. the two variables are differentially affected by a third variable b. both variables produce a change in the subjects' scores c. both variables are equally influenced by a third factor d. the effect of one independent variable depends on the levels of the second variable

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

Answer:37

Step-by-step explanation: it’s

Answer:

[tex]s = 4\pi {r}^{2} \\ \frac{ds}{dr} = 8\pi r =8\pi(2) = 16\pi \\ from \: chain \: rule \\ \frac{ds}{dr} = \frac{ds}{dt} . \frac{dt}{dr} \\ but \: \frac{ds}{dt} = 1 \\ 16\pi = 1 \times \frac{dt}{dr} \\ \frac{dt}{dr} = 16\pi \\ \frac{dr}{dt} = ( \frac{dt}{dr} ) ^{ - 1} \\ \frac{dr}{dt} = \frac{1}{16\pi} [/tex]

Answer:

A the end of three years you would earned $48.96 in interest.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1. In general, restrictions on rational functions refer to values of the variable that make the denominator zero. The function will be undefined in that case. On a graph, such a location will show up as a "hole" or a vertical asymptote.

__

2. If ±2 are excluded from the domain, we expect factors of (x-2)(x+2) in the denominator. That is, the denominator will have a factor of (x²-4). (There may be other factors that do not have real zeros.)

__

3. A rational expression is a fraction the same as any other. The usual rules of addition, subtraction, multiplication, and division apply. For addition and subtraction, it can be useful to identify a common denominator. For multiplication and division, that is not so essential.

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

Answer:

x^2+4x

Step-by-step explanation:

(3x^2+10x+20)-(6x+11) = 3x^2+4x+9

(3x^2+4x+9)-(2x^2+9) = x^2+4x

The polynomial that represents the measure of the third side of the plot of land is x² + 4x.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given two sides of a triangular plot of land.

6x + 11

2x² + 9

Perimeter = 3x² + 10x + 20

Perimeter of a triangle = Sum of the three sides

Let A represents the third side.

6x + 11 + 2x² + 9 + A = 3x² + 10x + 20

2x² + 6x + 20 + A = 3x² + 10x + 20

A = 3x² + 10x + 20 - (2x² + 6x + 20)

A = x² + 4x

Hence the measure of the third side is x² + 4x.

Learn more about Perimeter here :

https://brainly.com/question/29507476

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Answer:

  no solution

Step-by-step explanation:

The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.

  there is no solution

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Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]

z-value for 95% confidence = 1.96

E = 0.04  (given)

[tex]p=\dfrac{40}{200}=0.2[/tex]

[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]

Required sample size = 385

If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]

Required  sample size = 601.

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer:

-3

Step-by-step explanation:

Answer:

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

hope this answer helps you.....

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

hmmm

Step-by-step explanation:

not sure man

Answer:

0.0603

Step-by-step explanation:

probabilty ethan picks an oatmeal and peanut butter cookie  = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie

probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies

probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies

total number of cookies = 7 + 7 + 7 + 8 = 29

probability of selecting an oatmeal cookie = 7/29

probability of selecting a peanut butter cookie = 7/28

after eating oatmeal cookies, the amount of cookies would reduce by 1

7/29 x 7/28

Answer:

3/25

Step-by-step explanation:

There are 10 total marbles

P(yellow) = yellow/total = 4/10 = 2/5

We replace it so there are 10 marbles

P(2nd marble blue) = blue /total = 3/10

Multiply the two probabilities together

P(yellow, replace, blue) =2/5*3/10 = 3/25

Answer:

3/25

Step-by-step explanation:

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Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer:

3 ang sagot

Step-by-step explanation:

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thx me later

Answer:

(x,y)=(-1.-2)

Step-by-step explanation:

Using the elimination method:

-27x+45y=-63

-35x-45y=125

---------------------

-62x=62-->x=-1

-3*(-1)+5*6=-7-->y=-2

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Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

_____

Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

Answer:

Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles

Answer: 405.3 miles

Answer:

(1, -7)

Step-by-step explanation:

If you need the work:

5x+3y =-16

5x= -3y -16

x= -3/5y - 16/5

---------------

Substitute x

-10x-3y=11

-10(-3/5y-16/5)-3y=11

y= -7

---------------

Substitute y

x= -3/5(-7) -16/5

x= 1