HELP ME PLEOPLE THIS IS SO CONFUSING HELP ME I WILL GET SUSPENDED IF I DON"T ANSWER THIS HELP ME PLEASE HELP I WILL GET A 0 AND SUSPENDED HELP

HELP ME PLEOPLE THIS IS SO CONFUSING HELP ME I WILL GET SUSPENDED IF I DON"T ANSWER THIS HELP ME PLEASE

Answers

Answer 1
D and B ! Your welcome!

Related Questions

Which of the binomials below is a factor of this expression?
25x^2-4y^2z^2
answer- 5x-2yz

Answers

The binomials  5x-2yz are a factor of this expression

25x^2-4y^2z^2

This is further explained below.

What are binomials?

Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.

After monomials, this is the sort of sparse polynomial that is the easiest to understand.

The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.

25 x^2-4 y^2 z^2

Rewrite 25 x^2 as (5 x)^2.

(5 x)^2-4 y^2 z^2

Rewrite 4 y^2 z^2 as (2 y z)^2.

(5 x)^2-(2 y z)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.

(5 x+2 y z)(5 x-(2 y z))

Simplify.

(5 x+2 y z)(5 x-2 y z)

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Which integer is the farthest from the origin on a number line? A. -11 O B.-1 Oc. O D. 10

Answers

In order to determine the farthest integer related to the origin ona a number line, apply the absolute value of the given numbers, this gives you the distance of the specific number to the origin.

The absolute value of a number, negative or positive, is always equal to the same positive number.

Then,for the given asnwer choices you have:

|-11| = 11 where the bars |-11| expresses absolute

Solve for x. 23r + 2 = 156 + 481 + 6 A. x = 1/12 B. x = -2/5C. x = -1/10 D. x = -12/5

Answers

C) x= -1/10

1) Evaluating the following expression

23x+2= 15x + 48x + 6 Add the like terms

23x +2 = 63x +6 Subtract 63x and 2 from both sides

23x -63x = 6 -2

-40x =4 Divide both sides by -40

x = -4/40 Simplify it by 4

x= -1/10

2) Hence, the answer is x= -1/10

1/4t = 1/3t + (-16)
pls solve t and show steps if possible

Answers

Answer:

t = 192

Step-by-step explanation:

1/4t = 1/3t + (-16)

  1            1

-------t = -------t - 16

  4           3

  1(3)        1(4)

-------t = -------t - 16

  4(3)      3(4)

  3           4

-------t = -------t - 16

  12         12

  3           4

-------t = -------t - 16(12)

(   12         12 ) 12

           

3t = 4t - 192

-4t   -4t

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

-t = -192

÷-1  ÷-1

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

t = 192

I hope this helps!

A bicyele store costs $2400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicyeIs $120How many bicycles must the store sell each month 1o break even?Write a system of equations to represent the situation, then solve*Show both the equations and the solution

Answers

Answer:

The system of equations is:

• C(x)=2400+60x

,

• R(x)=120x

The number of bicycles to break even = 40

Explanation:

Let the number of bikes sold = x

• The operating cost of the store per month = $2400

,

• Cost Price Per bike = $60

Thus, the total monthly cost for the store:

[tex]C(x)=2400+60x[/tex]

Next, the average selling price of each bicycle is $120, therefore, the monthly revenue of the store:

[tex]R(x)=120x[/tex]

The store breaks even when the cost equals its revenue.

[tex]\begin{gathered} R(x)=C(x) \\ 120x=2400+60x \end{gathered}[/tex]

We then solve for x:

[tex]\begin{gathered} \text{ Subtract 60x from both sides of the equation} \\ 120x-60x=60x-60x+2400 \\ 60x=2400 \\ \text{ Divide both sides of the equation by 60} \\ \frac{60x}{60}=\frac{2400}{60} \\ x=40 \end{gathered}[/tex]

The store must sell 40 bicycles in order to break even.

The population of the United States increased from 249 million in 1990 to 308 million in
2010.
The absolute change in the population was
The relative change in the population was
of a percent)
million.
% (round to the nearest tenth

Answers

The absolute change in the population was 59 million. The relative change in the population was 23.69%

The absolute population change is the magnitude of the increase or decrease in population for a defined period.

What is absolute change ?

Absolute change describes the straightforward difference between the indicator over two time periods. The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage.

Small numbers can make relative changes appear more significant than they actually are. This is true because a minor change in the number's absolute value can generate a significant change in the percentage.

Big numbers may make relative changes appear less significant. This is so that any change in the number that represents a substantial relative change may be seen.

The relative change can be minor even when the absolute change is significant if it is a change on a larger number.

Absolute change = Final value – Initial value

                            = 308m- 249m = 59m

The absolute change in the population was 59 million

Relative change Formula = (Final value – Initial value) / Initial value * 100%

                                         =  308m- 249m/ 249*100 = 23.69%

The relative change in the population was 23.69%

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Whats the Point-Slope Equation for the line that goes through
(-3, 5) and (-7, 4)

Answers

Answer is y = 1/4x + 5 3/4

Step by step

The point slope formula is y − y1 = m (x − x1 )

First we need to find “m” or slope

Slope formula is (y2 - y1) over (x2 - x1)

4-5 over -7 - -3

-1 over -4 or 1/4

Now for point slope formula using (-3, 5)

y - 5 = 1/4 (x + 3) (x - -3 is same as x + 3)

Distribute

y -5 = 1/4x + 3/4

add 5 to both sides to solve for y

y -5 +5 = 1/4x + 3/4 + 5

Combine

y = 1/4x + 5 3/4 is your answer

Which of the following sentences properly uses semicolons in a serial list?

There is so much you can do to cut down on waste; such as composting, which uses food waste to help plants grow, recycling, which keeps plastic, metal, and glass out of landfills, and thrifting, which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste, such as composting; which uses food waste to help plants grow; recycling; which keeps plastic; metal; and glass out of landfills; and thrifting; which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste; such as composting; which uses food waste to help plants grow, recycling; which keeps plastic, metal, and glass, out of landfills, and thrifting; which cuts down on clothing waste from fast fashion.

Answers

The sentence that properly uses semicolons in a serial list is B. There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.

What are semicolons?

A semicolon is a punctuation mark consisting of a period put on top of a comma.

Semicolons can be used for the following purposes:

To join two independent clauses without the coordinating conjunctions (and, but, or, nor, for, so, yet)As a serial listTo introduce evidence for a preceding statement.

Thus, the proper use of semicolons in a serial list is Option B.

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Answer:

B. There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.

Step-by-step explanation:

2.1. AP-8 Write the integer value that point B represents, then write its opposite. B - 10 5 5 10 Point B represents the integer

Answers

In the line, the point B represents the integer -3, because it is 3 units left from 0.

Its opposite is the number 3, that is 3 units right from 0.

Use the figure to find the measures of the numbered angles. The problem number 2. I’m just trying to make sure I’m doing these correctly.

Answers

Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,

[tex]m\angle2=34\degree[/tex]

Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,

[tex]m\angle6=34\degree[/tex]

Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,

[tex]m\angle4=34\degree[/tex]

Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,

[tex]\begin{gathered} m\angle7+34\degree=180\degree \\ m\angle7=180\degree-34\degree \\ m\angle7=146\degree \end{gathered}[/tex]

Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,

[tex]\begin{gathered} m\angle4+m\angle3=180\degree \\ 34\degree+m\angle3=180\degree \\ m\angle3=180\degree-34\degree \\ m\angle3=146\degree \end{gathered}[/tex]

Angles 7 and 5 are vertical angles, then they are congruent, that is,

[tex]\begin{gathered} m\angle5=m\angle7 \\ m\angle5=146\degree \end{gathered}[/tex]

Angles 1 and 3 are vertical angles, then they are congruent, that is,

[tex]\begin{gathered} m\angle1=m\angle3 \\ m\angle1=146\degree \end{gathered}[/tex]

A line passes through the point (–2, 7) and has a slope of –5.

A coordinate plane.

What is the value of a if the point (a, 2) is also on the line?
–7
–1
1
7

Answers

Based on the fact that the line passes through (-2, 7) and the slope, the value of a can be found to be  -1

How to find the value of a?

To find the value of a, you first need to find the y-intercept to complete the linear equation which takes the form:

y = slope (x) + y-intercept

7 = -5(-2) + y-intercept

7 = 10 + y-intercept

y-intercept = 7 - 10

y-intercept = -3

The line equation is:

y = -5x - 3

The line y = -5x - 3 is passing through the point (a,2) is:

2 = -5(a) - 3

3 + 2 = -5a

a = 5 / -5

a = -1

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Answer:

the answer is  -1

Step-by-step explanation:

The graph of a figure is shown below.



Which graph represents the reflection of this figure across the x-axis?

the first triangle in the photo
which is reflected on the x-axis

Answers

A graph which represents the reflection of this figure across the x-axis is: graph 5.

What is a reflection across the x-axis?

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y) → (x, -y) = (3, 1) → (3, -1).

(x, y) → (x, -y) = (4, 0) → (4, 0).

(x, y) → (x, -y) = (3, -1) → (3, 1).

(x, y) → (x, -y) = (4, -2) → (4, 2).

(x, y) → (x, -y) = (2, -4) → (2, 4).

(x, y) → (x, -y) = (0, -2) → (0, 2).

In conclusion, a reflection across the x-axis would transform the geometric figure to that shown in the graph attached in the image below.

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What is the GCF of 64a^8b^4 and 56a^5b^8

Answers

We need to find the greatest common factor of

[tex]64a^8b^4,56a^5b^8[/tex]

We will find the greatest common factor of 64 and 56, first

Since the factors of 64 are

[tex]\begin{gathered} 1\times64 \\ 2\times32 \\ 4\times16 \\ 8\times8 \\ 1,2,4,8,16,32,64 \end{gathered}[/tex]

Since the factors of 56 are

[tex]\begin{gathered} 1\times56 \\ 2\times28 \\ 4\times14 \\ 8\times7 \\ 1,2,4,7,8,14,28,56 \end{gathered}[/tex]

Then the common factors are 1, 2, 4, 8

The greatest is 8, then

The GCF of 64 and 56 is 8

The greatest common factor of the same variables is the least power

Then the GCF of a^8 and a^5 is a^5

The GCF of b^4 and b^8 is b^4

Then the greatest common factor of the given terms is

[tex]\text{GCF}=8a^5b^4[/tex]

Kareem wrote an exam which had 30 questions. Each question he answers correctly gets him 10
marks. However, he loses 5 marks for each question he answers incorrectly. He attempted all the
questions and got a total of 180 marks. How many questions did he answer wrong?

Answers

Total number of questions = 30 questions.

Each correct answer gets = 10 marks.

Marks deducted for each wrong answer = 5 marks.

Total marks scored by Kareem = 180 marks.

If Kareem had attended all the questions, then

Let 'α' be the number of questions he answered wrong, then the number of questions answered correctly by him, will be = (30 - α)

Then we have,

Total marks obtained = (correct answers x 10 marks ) - (wrong answers x 5 marks )

that is.,

180 = [(30 - α) x 10] - [α  x  5] = 300 - 10α - 5α

180 - 300 = -15α

α =  120/15  = 8 questions.

Therefore, 8 questions were answered wrong by Kareem.

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2 Four friends go to the ice cream shop to purchase frozen
yogurt. Each friend gets a part strawberry and part
vanilla.
• Lucas gets 0.25 strawberry.
Adrianna gets % strawberry.
Ricardo gets 0.8 strawberry.
Jasmine gets % strawberry.


Arrange the friends in order from least to greatest amount of
strawberry in their yogurt.
Least
Greatest

Answers

Answer:

12

Step-by-step explanation:

Write an equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .
Please help and Thank you.

Answers

h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .

What is Translation?

Translation is the process of reworking text from one language into another to maintain the original message and communication.

The parent function is: g(x)=|x|

we stretch the parent function y = |x| by a factor of 3.

h= |x/3|

If the constant is between 0 and 1, we get a horizontal stretch

if the constant is greater than 1, we get a horizontal compression of the function.

Hence h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .

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Identify the degree and leading coefficient of the given power function

Answers

[tex]ax^n[/tex]

In a equation as above:

a is the leading coefficient

n is the degree

For the given equation:

[tex]-2x^2[/tex]The coefficient is: -2The degree is: 2

Justin works in a department store selling clothing. He makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 30% of his total sales for the week. How much would Justin make in a week in which he made $2425 in sales? How much would Justin make in a week if he made x dollars in

Answers

We can convert that 30% into a decimal, as: 0.3 (That's 30/100)

Now, we can multiply this 0.3 by any quantity that we want to calculate 30% from.

For example, let's take Justin's commission:

[tex]2425\cdot0.3=727.5[/tex]

Adding this to his base salary,

[tex]450+727.5=1177.5[/tex]

We can conclude that Justin's paycheck for the week would be $1,117.5

Similarly, the expression for Justin's paycheck in a week were he made x dollars in sales is:

[tex]0.3x+450[/tex]

2x(x+7) + 35 = (x + 1)x(x+1) -2

Answers

Answer:

x= -6

Step-by-step explanation:

1

Distribute

2

Distribute

3

Distribute

4

Multiply by 1

5

Combine like terms

6

Subtract the numbers

7

Move terms to the left side

8

Distribute

9

Add the numbers

10

Combine like terms

11

Multiply by 1

12

Combine like terms

13

Use the quadratic formula

14

Evaluate the exponent

15

Multiply the numbers

16

Subtract the numbers

17

Evaluate the square root

18

Add zero

19

Multiply the numbers

20

Cancel terms that are in both the numerator and denominator

If the cost of an 800 number is $29.95 per month plus 28 cents per minute, then the monthly cost varies directly as the number of minutes.TrueFalse

Answers

We have the monthly cost is fixed: $29.95.

The cost varies directly as the number of minutes since the total cost per month will be:

[tex]29.95+\frac{28}{100}x[/tex]

If we make a call and spend 30 minutes. We need to add this cost to the payment:

[tex]undefined[/tex]


Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)

Answers

formula: y2-y1/x2-x1
label your variables by x and y.
subtract y2 from y1, then x2 from x1.
simplify your answer

Use each of the three corresponding base and height pairs to find the area of the triangle. Why is the area the same for each calculation?

Answers

Answer:

The three correct corresponding pairs that gives the same area are;

[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]

The areas are the same in each case because the product of each pair is the same.

Explanation:

Given the base and height pairs in the question.

Let us use the corresponding pairs that gives the same area.

Firstly, for the first pair;

[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times10\times7=35cm^2 \\ A=\frac{1}{2}\times10\times2.5=12.5cm^2 \end{gathered}[/tex]

Secondly, the second pair is;

[tex]\begin{gathered} A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times5\times3.5=8.75cm^2 \\ A=\frac{1}{2}\times5\times2.5=6.25cm^2 \end{gathered}[/tex]

Thirdly, the third pair;

[tex]\begin{gathered} A=\frac{1}{2}\times14\times3.5=24.5cm^2 \\ A=\frac{1}{2}\times14\times7=49cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]

Therefore, the three correct corresponding pairs that gives the same area are;

[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]

The areas are the same in each case because the product of each pair is the same.

a company purchases shipments of 600 machine components and uses this acceptance sampling plan: randomly select and test 25 components and accept the whole batch if there are fewer than 3 defective components. it is known that this particular component has a 4% defective rate. what is the probability that shipment will be accepted?

Answers

25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. The probability is it that the shipment will be accepted is 0.7323.

Given that,

An organization utilizes the following acceptance sampling strategy for ordering shipments of 600 machine parts: 25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. This specific component is known to have a 4% fault rate.

We have to find how probability is it that the shipment will be accepted.

By binomial we get,

Binomial Problem:

n = 25 ; p = 0.04

P(0<= p <= 2)

= 0.7323

Therefore, The probability is it that the shipment will be accepted is 0.7323.

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The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are less than 250 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places

Answers

For a random day with the standard deviation, the probability that there are less than 200 shoppers on a random day, is 0.0039.

The average total number of shoppers on a  grocery store in 1 day is 506; the standard deviation is 115.

The number of shoppers is normally distributed.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 506 and standard deviation of 115.

Then, we can say that,

Z=(X-506)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P(X<200)

[tex]=P(Z < \frac{200-506}{115})[/tex]

=P(Z<-2.66)

Where, Z is the standard normal variate.

ρ = -0.266

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.0039

For a random day, the probability that there are less than 200 shoppers on a random day, is 0.0039.

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what is 11/12 ÷ 1/30 2 1/40 2 3/40 3 1/30 3 2/3

Answers

The given expression is

[tex]\frac{11}{12}\colon\frac{1}{3}[/tex]

First, we change 1/3 for its reciprocal to transform the division into a product.

[tex]\frac{11}{12}\cdot\frac{3}{1}[/tex]

Then, we multiply the fractions.

[tex]\frac{11\cdot3}{12\cdot1}=\frac{33}{12}=\frac{11}{4}[/tex]

At last, we transform the fraction into a mixed fraction.

[tex]\frac{11}{4}=2\frac{3}{4}[/tex]Therefore, the right answer is B. 2 3/4.

How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million

Answers

Answer:

Step-by-step explanation:

B - 6 million

b. 6 Million

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describe the transformation of f represented by G then graph each function

Answers

Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.

5)

Transformation 2: the function is shifted 2 units up

Explanation

[tex]f(x)=x^4[/tex]

Step 1

the first transformation is the function multiplied by a constant ( 1/2)

If the function is multiplied by a value less than one, all the values of the equation will decrease, leading to a “shrunken” appearance in the vertical direction

so

[tex]\begin{gathered} f(x)=x^4\Rightarrow\frac{1}{2}x^4 \\ \frac{1}{2}is\text{ smaller than 1, so} \end{gathered}[/tex]

Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.

5)

Step 2

the second transformation is add 5

[tex]f(x)=x^4\Rightarrow\frac{1}{2}x^4\Rightarrow g(x)=\frac{1}{2}x^4+5[/tex]

If a positive number is added, the function shifts up the y-axis by the amount added.

so,

Transformation 2: the function is shifted 2 units up

I hope this helps you


A basket contains 12 black marbles and 8 blue marbles. What is the probability Josiah will
select a blue marble, replace it, and then a black marble? Express your answer as a percent.

Answers

Answer:

24%

=====================

Given

Black marbles = 12,Blue marbles = 8.

Solution

Total number of marbles:

12 + 8 = 20

Probability of selecting a blue marble:

P(blue) = number of blue / total = 8/20 = 2/5

Probability of  selecting a black marble after replacing the blue:

P(black) = number of black / total = 12/20 = 3/5

Probability of selecting blue and black marbles in same order with replacement:

P(blue, then black) = 2/5*3/5 = 6/25 = 24/100 = 24%

two cyclists, 42 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other. if they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?

Answers

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

[tex]2s+s=42\\3s=42\\s=14[/tex]

Now, distance coverd by the first cyclist is [tex]2s=2\times 14\\=28 \ $miles[/tex].

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

[tex]Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr[/tex]

Hence, the speed of the faster cyclist is 14\ miles/hr.

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what is the equation of the line that passes through the point (-2, 14) and is perpendicular to the with the following equation? y = -2/5x - 1

Answers

Answer: the y = -2/5x - 1

Step-by-step explanation: hoped this help you two

You can use the first formula or the second one it still going to give you the same answer unless you miss something.
Other Questions
Aaron took out a 30-year mortgage for $70,000. His monthly mortgage payment is $466. How much will he pay over 30 years? Interest rate = 7% Which type of element is shown in green boxes A ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 9 ft from the side of the house. Find thelength of the ladder. If necessary, round your answer to the nearest tenth.5?9ExplanationCheck in many situations an employee initially receives cash and thus has custody. because this cannot be avoided, good control dictates that . multiple select question. two people should open the mail the employees opening the mail should prepare the bank deposit checks should be endorsed immediately use a sum or difference identity to find the exact value of : I have a question so yall can get points so Whats 1+1 Find the circumcenter of the triangle ABC.A(-5, -6), B(-8,6), C(-5,6).The circumcenter is(Type an ordered pair) Which of the following ordered pairs is in the feasibleinequalities?8x-y> 91/2x + 6 yy+1>-1/3(x- 9) i need help with my homework PLEASE CHECK WORK WHEN DONE NUMBER 7 ANSWERSSSS ASAPP PLSSS :) Find the value of x in each case. Please put statement reasons. Arc Length Formula:: Cx = degree measure of arcC-circumferenceDirections: Find each arc length. Round to the nearest hundredth.10. If EB = 15 cm, find the length of CD. 11. IF NR = 8 ft, find the length of NMP.DC12. IF VS = 12 m, find the length of UT.13. If JH = 21 in, fnd the length of KJG.12759DBS14. If FG = 27 yd, find the length of FED.15. If WS = 4.5 mm, find the length of TS.4780128317.62 Starting a new business in pursuit of an opportunity to introduce a new product or service to market through innovation is engaging in the process of ________. Find the equation of the line though the point (-3, -2) and perpendicular to the line y = 2/3x-2.Write your answer in the form y=mx+b. (Score for Question 1: ___ of 5 points)1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and markspoint C. Then she walks 80 ft further and marks point D. She turns 90 and walks until her location,point A, and point C are collinear. She marks point E at this location, as shown.AriverAD 80 ft300 ftBE(a) Can Wendy conclude that AABC and AEDC are similar? Why or why not?(b) Suppose DE = 50 ft Calculate the width of the river, AB. Show all your work.Answer Japan's writing system and Buddhist influence came into it from China Korea Taiwan Russia Find the magnitude of the sumof these two vectors:B63.5 m101 m57.0 Select the correct answer.What is the approximate value of this logarithmic expression?log5 18 what kind of triangle congruence would i put for the last reason? PLEASE HURRY!!!!!Here is a hanger diagram. With a hanger diagram, when the diagram is balanced, there is equal weight on each side. Write an equation to represent the hanger. (Do NOT put spaces in your answer.)