please help me, i will give you brainliest

Please Help Me, I Will Give You Brainliest

Answers

Answer 1

Answer:

3rd

Step-by-step explanation:

i got it right on khan academy


Related Questions

Please help!!! Plz give good answers

Answers

Answer:

75

Step-by-step explanation:

In this case, you just need to use the distance formula of AC and DB.

Using the distance formula, we find that AC= 15, and DB=10

Therefore, area= 150/2=75

What is the slope of the line
described by Y = 6X + 2?

A. 6
B. 2
C. 3
D. -6
E. 12

Answers

Answer:

A . 6

Step-by-step explanation:

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}\\m=6[/tex]

Brainliest for whoever gets this correct! What is the sum of the rational expressions below?

Answers

Answer:

second option

Step-by-step explanation:

x / x - 1 + 3x / x + 2

= x(x + 2) / (x - 1)(x + 2) + 3x(x - 1) / (x - 1)(x + 2)

= (x² + 2x) / (x² + x - 2) + (3x² - 3x) / (x² + x - 2)

= (4x² - x) / (x² + x - 2)

A sample of 250 observations is selected from a normal population with a population standard deviation of 25. The sample mean is 20. Determine the standard error of the mean. (Round your answer to 3 decimal places.)

Answers

Answer:

The standard error of the mean is  [tex]\sigma _{\= x } = 1.581[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  250

      The standard deviation is  [tex]\sigma = 25[/tex]

          The sample mean is  [tex]\= x = 20[/tex]

The standard error of the mean is mathematically represented as

        [tex]\sigma _{\= x } = \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

        [tex]\sigma _{\= x } = \frac{25 }{\sqrt{250} }[/tex]

       [tex]\sigma _{\= x } = 1.581[/tex]

For the functions f(x)=2x−5 and g(x)=3x2−x, find (f∘g)(x) and (g∘f)(x).

Answers

Hi,

f°g means :  apply first g then f . so calculate  "g" and then use result as "x" in f.  

g°f  means :   you apply first  f then g  

so :  f°g =    2(3x²-x) -5  =   6x²-2x- 5

To improve in math, you need practice. have a try with  g°f  :)

give the answer in comments, and I will tell you if you are correct.

good luck.

Sophie saw a dress she liked on sale for $15 off. The original price of the dress was $96. What is the sale price of the dress?

Answers

$96-$15=$81 that simple

If there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.

What is the application of subtraction?

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

Given that Sophie discovered a dress she liked that was $15 off. The dress cost $96.

The sale price of the dress is obtained by subtracting the original price from the price discount on the dress,

= $96 - $15

=$  $81

Thus, if there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.

Learn more about the application of subtraction here:

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Which of the following lines are parallel to 2Y - 3X = 4?

A. Y = 2/3 X + 4
B. Y = 6/4 X
C. 2Y=8-3X

Answers

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)

Graph the equation below by plotting the y-intercept and a second point on the line. When you click Done, your line will appear

Answers

Answer:

Step-by-step explanation:

Equation of the line has been given as,

[tex]y=\frac{3}{2}x-5[/tex]

By comparing this equation with the y-intercept form of the equation,

y = mx + b

Slope of the line 'm' = [tex]\frac{3}{2}[/tex]

and y-intercept 'b' = -5

Table for the points to be plotted on a graph will be,

x              y

-4           -11

-2           -6

0            -5

2            -4

4            -3

By plotting y-intercept (0, -5) and any one of the points given in the table we can get the required line.

Answer: actually the answer to this question is (0, -5) and ( 2, -2)

Step-by-step explanation: I just took the test on Plato and got it right :)

find the number if 7/3 of it is 5 5/6

Answers

Answer: [tex]\dfrac{5}{2}.[/tex]

Step-by-step explanation:

To find: The number if  [tex]\dfrac{7}{3}[/tex] of it is [tex]5\dfrac{5}{6}[/tex].

Let x be the number.

Then, as per the statement, we have

[tex]\dfrac{7}{3}x=5\dfrac{5}{6}[/tex]

Simplify [tex]5\dfrac{5}{6}[/tex] as [tex]\dfrac{5\times6+5}{6}=\dfrac{35}{6}[/tex]

Then, [tex]\dfrac{7}{3}x=\dfrac{35}{6}[/tex]

Multiply 3 on both sides, we get

[tex]7x=\dfrac{35}{2}[/tex]

Divide both sides by 7, we get

[tex]x=\dfrac{35}{2\times7}\\\\\Rightarrow\ x=\dfrac{5}{2}[/tex]

Hence, the number is [tex]\dfrac{5}{2}.[/tex]

We will see that the mixed number is:

N = 2 + 1/2

How to find the number?

We want to find a number N such that 7/3 times N is equal to 5 + 5/6.

So we just need to solve:

(7/3)*N = (5 + 5/6)

If we multiply both sides by 3/7, we get:

(3/7)*(7/3)*N = (3/7)*(5 + 5/6)

N = 15/7 + 15/42

If we multiply and divide the first fraction by 6, we get:

N = (6/6)*15/7 + 15/42 = 90/42 + 15/42

N = 105/42

Now we can write:

105 = 42 + 42 + 21

Replacing that in the fraction we would get:

N = 105/42 = (42 + 42 + 21)/42 = 42/42 + 42/42 + 21/42 = 2 + 21/42

N = 2 + 1/2

If you want to learn more about mixed numbers, you can read:

https://brainly.com/question/1746829

PLEASE HELPPP ITS TIMED Consider the following functions. f(x) = x2 – 4 g(x) = x – 2 What is (f(x))(g(x))? a.(f(x))(g(x)) = x + 2; x ≠ 2 b.(f(x))(g(x)) = x + 2; all real numbers c.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2 d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers

Answers

Answer:

d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers

Step-by-step explanation:

(f(x))(g(x)) = (x²- 4)*(x-2) =x³ - 2x² - 4x + 8

Choice d. is correct

a.(f(x))(g(x)) = x + 2; x ≠ 2 incorrectb.(f(x))(g(x)) = x + 2; all real numbers incorrectc.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2 incorrectd(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numberscorrect

Answer:

D

Step-by-step explanation:

Segments AC and BD are diameters of circle O. Circle O is shown. Line segments A C and B D are diameters. Angle A O D is 73 degrees. What is the measure of Arc A D B? 107° 146° 253° 287°

Answers

Answer:

253°

Step-by-step explanation:

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: 253°

The solution is, the measure of Arc A D B is 253°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

given that AC and BD are diameters of circle O.

AC and BD intersect at point C the centre of the circle.

The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: the measure of Arc A D B is 253°.

To learn more on angle click:

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Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 47 students. The mean of the sample is 12.3 units. The sample has a standard deviation of 1.9 units. What is the 95% confidence interval for the average number of units that students in their college are enrolled in

Answers

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is :

Confidence Interval ( 11.76, 12.84).

Step-by-step explanation:

The formula for a Confidence Interval is:

C. I = μ ± z × σ/√n

Where

z = z score

μ is the sample mean

σ is the sample standard deviation

n = number of samples

We were given a 95% confidence interval

The z score for a 95% confidence interval = 1.96

μ = 12.3 units

σ = 1.9

n = 47 students

C. I = μ ± z × σ/√n

C.I = 12.3 ± 1.96 × 1.9/√47

C.I = 12.3 ± 0.5432012283

Hence,

Confidence interval = 12.3 ± 0.5432012283

12.3 - 0.5432012283 = 11.756798772 Approximately ≈ 11.76

12.3 + 0.5432012283 = 12.843201228

Approximately ≈ 12.84

Therefore, the 95% confidence interval for the average number of units that students in their college are enrolled in is :

Confidence Interval ( 11.76, 12.84).

which linear inequality is represented by the graph​

Answers

Answer:

The first choice.

Step-by-step explanation:

When you are using y≥, then this means that the positive area needs to be shaded, but as you can see, the negative area is shaded, so the symbol '≤' would best fit this.

Now, that we see that, we can eliminate the 2nd and 4th option.

Now, looking at points (0, 2) and (2, 3), the slope is 1/2 <-- rise over run.

So, the first option will be correct!

Hope this helps:)

Answer:

You have selected the correct one!

Step-by-step explanation:

On a coordinate plane, triangle P Q R has points (3, 0), (1, negative 2), (4, negative 2). Triangle PQR is reflected over the line y = x. What is the coordinate of the image point R’? R’(2, 4) R’(–2, –4) R’(2, –4) R’(–2, 4)

Answers

Answer:

R'(- 2, 4 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

R(4, - 2 ) → R'(- 2, 4 )

Answer:

R'(- 2, 4 )

Step-by-step explanation:

I got it right on edg

pleassssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeee helpppppppppppppp meeeeeeeee i giveeeee you bralienstttttt

Answers

Answer:

487 divide by 14

Step-by-step explanation:

have a nice day

Suppose the results indicate that the null hypothesis should not be rejected; thus, it is possible that a type II error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Choose a 0.01 significance level, instead of a 0.05 significance level. Increase the sample size.

Answers

Answer:

Increase the sample size.

Step-by-step explanation:

Increasing the sample size is the best way to reduce the likelihood of a type II error.

The type II error occurs when a hypothesis test accepts a false null hypothesis. That is, it fails to reject the null hypothesis that is false.

In such a situation, to increase the power of the test, you have to increase the sample size used in the test. The sampling size has the ability to detect the differences in a hypothesis test.

We have a bigger chance of capturing the difference if the sample size is larger, and it also increases the power of the test.

Write down the first 6 elements of the following sequence (where n ∈ Z+), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct).

a. an - 3n - 10
b. an= (1+(-1)^n)^n
c. an= 2n! (2)

Answers

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

A passcode can have 5 or 6 digits. Digits can be repeated and leading 0s are allowed. So, 1234 would be a 4 digit code that is different from 01234, which is a 5 digit code. How many different passcodes are possible

Answers

Answer:

The number of passcodes possible is 1,100,000

Step-by-step explanation:

Here , we want to calculate the number of different possible passcodes.

For the five digit code,

each number in the code has a possibility of choosing from the digits 0 to 9, so this means that each of the numbers in the code has 10 options.

So for a five digit code, the number of possible choices would be 10 * 10 * 10 * 10 * 10 = 10^5

For a six digit code, the number of possible choice would be 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^6

So for 5 or 6 digits code, the number of possible choices would be;

10^5 + 10^6 = 10^5(1 + 10)

= 11(10^5) = 1,100,000

The number of passcodes possible is 1,100,000

Calculation of the no of passcode:

For the five-digit code, the no of possible choices should be [tex]10^5[/tex]

For the six-digit code, the no of possible choices should be [tex]10^6[/tex]

So, the possible choices should be

[tex]10^5 + 10^6 = 10^5(1 + 10)\\\\= 11(10^5)[/tex]

= 1,100,000

Hence, The number of passcodes possible is 1,100,000

Learn more about code here: https://brainly.com/question/24418415

Find the measure of each interior angle of a regular polygon with 10 sides.

Answers

Answer:

add up c

Step-by-step explanation:

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
BRE
BE
y-4=3(x-1)
1-y=3(x-4)
Y,-4 = 3(1-x)
1-Y, = 3(4-x,)

Answers

Answer:

Option (1)

Step-by-step explanation:

Equation of a line passing through [tex](x_1,y_1)[/tex] having slope 'm' is represented as,

[tex]y-y_1=m(x-x_1)[/tex]

If a line passes through (1, 4) and having slope = 3,

By substituting the values in the equation of the line,

y - 4 = 3(x- 1)

Therefore, equation of the line will be,

y - 4 = 3(x - 1)

Option (1) will be the answer.

if elf =gjh ef=12 and Lf=7.8 find ij

Answers

Answer:

IJ= 4.98

Step-by-step explanation:

EF = 12

KF = 6

LF = 7.8

LK = sqrt(7.8^2-6^2) = 4.98

IJ = LK (4.98)

n rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=11 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary.

Answers

Answer:

Step-by-step explanation:

Hello!

For the rectangle ABCD

AB= DC= 11

BC= AD= 2

Point E lies halfway between AB and CD

The shaded are forms two triangles, I'll refer to the upper triangle as "Triangle one" and the lower triangle will be "triangle 2"

The area of a triangle is calculated as

[tex]a= \frac{bh}{2}[/tex]

b= base

h= height

Triangle 1

b₁= AB= 11

[tex]h_1= \frac{BC}{2}= \frac{2}{2}= 1[/tex]

[tex]a_1= \frac{b_1h_1}{2}= \frac{11*1}{2}= 5.5[/tex]

Triangle 2

b₂= DC= 11

[tex]h_2= \frac{BC}{2}= \frac{2}{2} = 1[/tex]

[tex]a_2= \frac{b_2h_2}{2}= \frac{11*1}{2}= 5.5[/tex]

Now you add the areas of both triangles to get the area of the shaded region:

a₁ + a₂= 5.5 + 5.5= 11

Since point E is halfway to all sides of the rectangle, even tough it doesn't see so, the shaded area is equal to half the area of the rectangle:

area= bh= DC*AD= 11*2= 22

area/2= 22/12= 11

I hope this helps!

Help me fast please
give the coordinates(enclose the coordinates in parentheses) of the
foci,vertices,and convertices of the ellipse with equation x²/169 + y²/25 = 1​

Answers

Answer:

[tex]\frac{x^2}{169} +\frac{y^2}{25}=1[/tex]

If we compare this to the general expression for an ellipse given by:

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]

We can see that the vertex is [tex] V=(0,0)[/tex]

And we can find the values of a and b like this:

[tex] a=\sqrt{169}=13, b=\sqrt{25}=5[/tex]

in order to find the foci we can find the value of c

[tex] c =\sqrt{169-25}=\sqrt{144}=12[/tex]

The two focis are (12,0) and (-12,0)

The convertices  for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

Step-by-step explanation:

For this problem we have the following equation given:

[tex]\frac{x^2}{169} +\frac{y^2}{25}=1[/tex]

If we compare this to the general expression for an ellipse given by:

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]

We can see that the vertex is [tex] V=(0,0)[/tex]

And we can find the values of a and b like this:

[tex] a=\sqrt{169}=13, b=\sqrt{25}=5[/tex]

in order to find the foci we can find the value of c

[tex] c =\sqrt{169-25}=\sqrt{144}=12[/tex]

The two focis are (12,0) and (-12,0)

The convertices  for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

The rate of earnings is 6% and the cash to be received in four years is $20,000. The present value amount, using the following partial table of present value of $1 at compound interest, is

Answers

Answer:

$15,842

Step-by-step explanation:

We use the Present value formula

Present Value = Future value/(1 + r)ⁿ

r = 6% = 0.06

n = 4 years

Future value = $20,000

Present value = 20,000/(1 + 0.06)⁴

= $15841.873265

≈ $15,842

N = 10 ft, Q = 2 ft, R = 4

Answers

Answer:

so what's the question

What does it mean to say​ "correlation does not imply​ causation"? Choose the correct answer below. A. Two variables can only be strongly correlated if there existed a​ cause-and-effect relationship between the variables. B. The fact that two variables are strongly correlated does not in itself imply a​ cause-and-effect relationship between the variables. C. The fact that two variables are strongly correlated implies a​ cause-and-effect relationship between the variables. D. Two variables that have a​ cause-and-effect relationship are never correlated.

Answers

Answer:

B. The fact that two variables are strongly correlated does not in itself imply a​ cause-and-effect relationship between the variables.

Step-by-step explanation:

The term "correlation does not imply causation", simply means that because we can deduce a link between two factors or sets of data, it does not necessarily prove that there is a cause-and-effect relationship between the two variables. In some cases, there could indeed be a cause-and-effect relationship but it cannot be said for certain that this would always be the case.

While correlation shows the linear relationship between two things, causation implies that an event occurs because of another event. So the phrase is actually saying that because two factors are related, it does not mean that it is as a result of a causal factor. It could simply be a coincidence. This occurs because of our effort to seek an explanation for the occurrence of certain events.

Answer: B. The fact that two variables are strongly correlated does not in itself imply a​ cause-and-effect relationship between the variables.

Step-by-step explanation:

g Which distribution is used to compute the p-value, if one of the alternative hypotheses of the test is true?Group of answer choices

Answers

Answer:

Probability distribution

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. Alternative hypothesis is a statement which we accept or reject based on the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Solving by fractions

Answers

Answer:

x = -8, 8

Step-by-step explanation:

Set y = 0 to find the x intercepts

0 = x^2 -64

Add 64 to each side

64 = x^2

Take the square root of each side

±sqrt(64) = sqrt(x^2)

±8  =x

Copy the problem, mark the givens in the diagram. Given: CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC, Prove: CR ≅ HS

Help urgently needed

Answers

Explanation:

1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given

2. ∆CRH ~ ∆HSC — AA similarity theorem

3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent

4. CH ≅ HC — reflexive property of congruence

5. ∆CRH ≅ ∆HSC — SAS congruence theorem

6. CR ≅ HS — CPCTC

Write the equation in equivalent logarithmic form.
1
3=81​

Answers

Answer:

work is shown and pictured

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50 Pts!! Brainliest!! Answer ASAP, thx. Are there any parts of the human body that get oxygen directly from the air and not from the blood? if 5x - 17 = -x +7, then x = C. Create a mind map to show the key features of Umm an-Nar Society. Zn + 2 HCl --> H2 + ZnCl2 If 1.70 g of Zn are reacted, how many grams of ZnCl2 can be created? Show work and process and I will give brainliest Mi pobre madre est muy enferma y no puede trabajar hoy. Su mejor amiga va a trabajar ________ ella. para por Any help on this??????????? Geno had 24 hours to find the money to save hisgrandmother's flower shop. He didn't want to go to BigMarco, but he had run out of options. He knew whateverBig Marco asked of him in return for the money wouldprobably be illegal, but he had no choice. He and the flowershop were all his beloved grandmother had in the world.What is Geno's motivation in this passage?A. Geno wants to buy his grandmother's flower shop.B. Geno wants to save his grandmother's flower shop.C. Geno wants to start committing crimes.D. Geno wants to work for Big Marco. if one tenth of a number is added to 2. the result is half of that number. what is the number? What is the result of 36 divided by 9? Use the number line to find the answer. Let A = 2, B = 3, C = 9, and D = 15. Find the value of each expression listed below. -2 -14 10 2 -6 -10 14 6-A + C - (D B)----------------------> (answer) B (-C) - (-D) + A----------------------> (answer) (C + D) B + A----------------------> (answer) D B + A - C----------------------> (answer) Use the graphing tool to determine the true statements regarding the represented function. Check all that apply. f(x) > 0 over the interval (1, infinity). f(x) 0 over the interval [1, infinity). f(x) 0 over the interval (-infinity, 1]. f(x) > 0 over the interval (-infinity, 1). f(x) > 0 over the interval (-infinity, infinity). You want to find the area of the front of a house whose shape is a triangle on top of a rectangle with a width of 11. The triangle's height is 13 and the rectangle's height is 7. What is the total area of the front of the house? Round to the nearest tenth. Do not include square units in your answer. Kevin is a black high school senior. While walking home from a sporting event at school, he sees a police car and decides to take another street to avoid it. He worries that the police will stop and question him even though he has not done anything wrong. Which theory explains this thought process? Dramaturgy Social construction of reality Social exchange theory Ethnomethodology Lefave, Inc., manufactures and sells two products: Product Q1 and Product D5. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below: Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours Product Q1 2,100 6.1 12,810 Product D5 950 3.1 2,945 Total direct labor-hours 15,755 The company is considering adopting an activity-based costing system with the following activity cost pools, activity measures, and expected activity: Expected ActivityActivity Cost Pools Activity Measures Estimated Overhead Cost Product Q1 Product D5 TotalLabor-related DLHs $172,482 21,000 5600 26,600Product testing tests 68,909 1400? 1300 2700General factory MHs 224,825 5800 5700 11,500$466,216If the company allocates all of its overhead based on direct labor-hours using its traditional costing method, the predetermined overhead rate would be closest to:__________ Which statement describes a typical role or roles of a country government? A. Deciding on municipal home rule B. Issuing licenses, maintaining birth and death records, and managing jails and courts. C. Setting educational standards and establishing university systems. D. organizing, publicizing, and administering town meetings. Which of the following best expresses the concept of natural selection? A) differential reproductive success based on inherited traits B) inheritance of acquired characteristics C) change in response to need D) a process of constant improvement, leading eventually to perfection E) survival of the fastest Max was at a party and noticed that a friend of his was clearly drunk and about to drive home. In which of the following circumstances would Max be most likely to intervene and stop his friend from getting behind the wheel?A. If there were 10 other witnesses B. If there were 50 other witnesses C. If Max was alone and the only witness D. If Max had a secure attachment style What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4? Exam QuestionSolve x when 18 + 6x = 2x + 42