Your friend plans to move from Lubbock to Houston. She earns $50,000 a year in Lubbock. How much must she earn in Houston to maintain the same standard of living if the cost of living in Houston is 35% higher?

Answers

Answer 1
Uhm I think it’s 100,000 I’m not absolutely for sure

Related Questions

PLEASE ANSWER
Solve the problems. Write the complete proof in your paper homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
Chapter Reference
c
Given: ∆ABC, AB = CB

BD
- median, E∈
AB

F ∈
BC
, AE = CF
Prove: △ADE ≅ △CDF

You have only 2 attempts to earn the full credit for this problem.
Answer:
△ADE≅△CDF by what reason?

PLEASE ANSWER Solve the problems. Write the complete proof in your paper homework and for online (only)

Answers

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

PLEASE ANSWER Solve the problems. Write the complete proof in your paper homework and for online (only)

What is x ?
x(x)=25

Answers

X = 5 because 5(5)=25
Hope this helps :)

4. Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping. Actuary Toby follows the same procedure with high-risk policies. Each low-risk policy has a 10% probability of having a claim. Each high-risk policy has a 20% probability of having a claim. The claim statuses of polices are mutually independent. Calculate the probability that Actuary Rahul examines fewer policies than Actuary Toby.

Answers

Answer:

Step-by-step explanation:

for n ∈ N

Since Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping.

∴ the probability that Actuary Rahul examines exactly n policies

\((0.9)^{n-1}.(0.1)---(1)\)

the probability that Actuary Toby examines more than  exactly n policies

\((0.8)^n---(2)\)

Given that policies are actually independent

∴ the probability that the event  (1) and (2) happens simultaneously is

\((0.9)^{n-1}*(0.1)*(0.8)^n\)

∴  the probability that Actuary Rahul examines fewer policies than Actuary Toby

\(\sum ^\infty _{n=1} (0.9)^{n-1}*(0.1)*(0.8)^n\\\\=(\frac{0.1}{0.9} \sum ^\infty _{n=1}(0.72)^n\\\\=\frac{1}{9} (\frac{0.72}{0.28} )\\\\=\frac{2}{7} \\\\=0.2857\)

the probability that Actuary Rahul examines fewer policies than Actuary Toby is 0.2857

(9x-4)°

(3x+ 14)°

solve for x=

don’t understand how to find the answer

(9x-4)(3x+ 14) solve for x= dont understand how to find the answer

Answers

Answer:

x=3

Step-by-step explanation:

Simplifying

9x + -4 = 3x + 14

Reorder the terms:

-4 + 9x = 3x + 14

Reorder the terms:

-4 + 9x = 14 + 3x

Solving

-4 + 9x = 14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-4 + 9x + -3x = 14 + 3x + -3x

Combine like terms: 9x + -3x = 6x

-4 + 6x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0

-4 + 6x = 14 + 0

-4 + 6x = 14

Add '4' to each side of the equation.

-4 + 4 + 6x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 6x = 14 + 4

6x = 14 + 4

Combine like terms: 14 + 4 = 18

6x = 18

Divide each side by '6'.

x = 3

Simplifying

x = 3

Answer:

x = 3

Explanation:

Write your equation

(3x + 14) = (9x - 4)

Subtract 9x from both sides

3x + 14 − 9x = 9x − 4 − 9x

−6x + 14 = −4

Subtract 14 from both sides

−6x + 14 − 14 = −4 − 14

−6x = −18

Divide both sides by -6

−6x / -6 = −18 / -6

x = 3

[ zyxx ]

What is 1 7/8 plus 3 5/8 answer

Answers

Answer:

5 1/2

Step-by-step explanation:

1 7/8 + 3 5/8

first start by adding the whole numbers

1 + 3 = 4

then add the fractions (only add the numerators)

7/8 + 5/8 = 12/8

12/8 is the same thing as 1 4/8

1 4/8 is the same thing as 1 1/2

Now add the whole number you added above

4 + 1 1/2 = 5 1/2

So, you answer to 1 7/8 + 3 5/8 is 5 1/2

Hope this helps!

Convert 104 degree Fahrenheit to Celsius

Answers

Answer:

40 degrees Celsius (40°C)

hopefully this helped :3

3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony​

Answers

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

What number of seats does the theatre have?

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

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HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:i think its the second one

Step-by-step explanation:

If 5x+5=50
then solve for x

Answers

Answer:

9

Step-by-step explanation:

5 x 9 is 45 plus 5 gives you 50

Answer:9

Step-by-step explanation:

5*9=45

45+5=50

Gym City charges a $30 sign-up fee, plus a monthly fee of $25. FitnessExpress charges a $20 sign-up fee, plus a monthly fee of $30. How muchmoney would Leslie save in a 6-month period by joining Gym City insteadof Fitness Express? PLSSSS

Answers

Answer:

$20

Step-by-step explanation:

Gym city fees are:

Sign up = 30

6 monthly sub = 6 x 25 = 150

Total fees = 30 + 150

FitnessExpress fees are:

Sign up = 20

6 monthly sub = 6 x 30 = 180

Total fees = 20 + 180 = 200

Therefore, the difference between the two is $20

The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.

A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.

What percentage of videos on the streaming site are between 264 and 489 seconds?

0.15%
49.85%
95%
99.7%

Answers

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?

Answers

Let's calculate the total marks obtained by the six students.

The first two students obtained a mark of 73%, which gives us a total of 73 + 73 = 146 marks.

The next three students obtained a mark of 68% each, which gives us a total of 68 + 68 + 68 = 204 marks.

The average score obtained by the group is 71%. Since there are six students, the total marks obtained by all six students would be 6 * 71 = 426 marks.

To find the mark obtained by the sixth student, we can subtract the total marks obtained by the first five students from the total marks obtained by all six students: 426 - (146 + 204) = 76 marks.

Therefore, the mark obtained by the sixth student is 76%.

A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.2cm, by how much does the surface area of the box increase? L=13 W=8.7 H=28

Answers

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Please help !! *will mark correct answer as brainliest*

Problem:

The transformation is an isometry.

Answers:

True
False

Please help !! *will mark correct answer as brainliest* Problem:The transformation is an isometry.Answers:True

Answers

True.

Isometry is such transformation where the shape of observed body is not manipulated on itself but rather the position of it is manipulated.

Hope this helps.

Answer:

mark the other brainliest

Step-by-step explanation:

Can someone help with the rest of this. This question is about the spinner, and the spinner is spilt into eight wedges numbered 0-7

Can someone help with the rest of this. This question is about the spinner, and the spinner is spilt

Answers

The elements in the sample space obtained from the attached possible Venn diagram created with MS Word indicates;

S = {1, 2, 3, 4, 5, 6, 7}A = {0, 1, 2, 3, 4}P(x < 5) = 5/8B = {1, 2, 3, 4, 5, 6, 7}P(N) = 7/8A and B = {1, 2, 3, 4}P(N and x < 5) = 1/2A' and B = {5, 6, 7}P(A' and B) = 3/8

What are Venn diagrams?

Venn diagrams visually represent the relationship between sets. Venn diagrams consists of overlapping circular shapes or other shapes, which represents a set of elements.

1. The sample space of the spinner is; S = {0, 1, 2, 3, 5, 6, 7}

2. The set A = {0, 1, 2, 3, 4}

3. The probability of a number less than 5 is the number of elements in the sample space that are less than 5 divided by the total number in the sample space

Number of elements less than 5 = 5

Number of elements in the sample space = 8

P(x < 5) = 5/8

4. Set B is; B = {1, 2, 3, 4, 5, 6, 7}

5. The elements that are natural numbers in the sample space are; N = {1, 2, 3, 4, 5, 6, 7}

The probability of spinning a natural number is therefore;

P(N) = 7/8

6. The set A and B is the set of elements common to both sets A and B which are; {1, 2, 3, 4}

A and B = {1, 2, 3, 4}

7. The probability of spinning a number that is both a natural number and a number less than 5, P(N and x < 5) can be found as follows;

(N and x < 5)  = {1, 2, 3, 4}

P(N and x < 5) = |{1, 2, 3, 4}|/|S| = 4/8 = 1/2

8. A' and B is the intersection of the complement of the set A and B, which are the elements in set B but not in set A. The Venn diagram indicates that we get;

A' and B = {5, 6, 7}

9. The probability of spinning a number not less than 5 or a natural number, P(A' and B) can be found as follows;

P(A' and B) = |{5, 6, 7}|/|S|  = 3/8

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Can someone help with the rest of this. This question is about the spinner, and the spinner is spilt

labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?

labor-hours and its standard cost card per unit is as follows:Direct material: $ pounds at $11.00 per

Answers

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

How to compute Preble Company's direct labor cost?

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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I need help ASAP please I’m. Also giving brainliest!

I need help ASAP please Im. Also giving brainliest!

Answers

Answer:

36

Step-by-step explanation

Basically, you are just doubling the amount of wrapping paper that Carly has, so in this case it would be:

18 x 2 = 36

Answer: 36


Explanation: 18 x 2 = 36

Subtract. Express your your answer in lowest terms 21/25 - 7/25

Answers

Answer:

14/25

Step-by-step explanation:

If the denominators are the same, subtract the numerators.

21/25-7/25=14/25

14 and 25 do not have any similar factors greater than 1, so we keep it as 14/25.

what is the last number


lol​

Answers

Answer:

Infinity probally. But there is a number called the god's number reported by Galileo in which he states a number in which the enitre universe fits.

Show that x-3 and x+5 are factors of x^4+2x^3-16x^2-2x+15. Explain your reasoning using long division, Synthetic Division and Remainder theorem.

Answers

Answer:

Step-by-step explanation:

To show that x-3 and x+5 are factors of x^4+2x^3-16x^2-2x+15, we can use polynomial division, synthetic division, and the Remainder theorem.

Using long division, we can divide x^4+2x^3-16x^2-2x+15 by x-3:

x^4 + 2x^3 - 16x^2 - 2x + 15

÷ x - 3

_________________________

  x^3 + 5x^2 - 14x - 12

   |__________

      -3x^3 + 17x^2 + 26x + 36

          |_________

                -14x^2 - 23x - 36

                     |_________

                          -15x + 72

                               |___

                                  57

So, the remainder is 57, which means x^4 + 2x^3 - 16x^2 - 2x + 15 = (x - 3)(x^3 + 5x^2 - 14x - 12) + 57.

Using synthetic division, we can divide x^4 + 2x^3 - 16x^2 - 2x + 15 by x+5:

1   2    -16   -2   15

   x + 5 |x^4 + 2x^3 - 16x^2 - 2x + 15|

____________________________

        x^3 - 3x^2 + 21x + 75

So, the remainder is 0, which means x^4 + 2x^3 - 16x^2 - 2x + 15 = (x + 5)(x^3 - 3x^2 + 21x + 75).

Using the Remainder theorem, we know that if a polynomial p(x) is divided by x-a, the remainder is p(a). So, when we plug in x=3, the remainder should be p(3) = 57. When we plug in x=-5, the remainder should be p(-5) = 0. This confirms that x-3 and x+5 are indeed factors of x^4 + 2x^3 - 16x^2 - 2x + 15.

Xavier is buying fencing to surround his garden if his garden has a perimeter of 30 yards and fencing cost six dollars a yard how much money will he need for the fencing

Answers

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

What is the slope of the line represented by the given table?
X -14 0 7 14 21
y -6 2 6 10 14

Answers

The slope of the line is 4/7.

The population of a small town in 1980 was approximately 4,780 residents. In 2010, the population was approximately 3,346 residents. At approximately what rate did the population of the small town change from 1980 to 2010?A- the population decreased at a rate of approximately 1% per yearB- the population decreased at a rate of approximately 0.7% per yearC- the population increased at a rate of approximately 0.7% per yearD- the population increased at a rate of approximately 1% per year

Answers

Answer:  The population decreased at a rate of approximately 1% per year.

Step-by-step explanation:

Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?

Answers

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

What is the FORMULA for the VOLUME of a CONE?

Answers

Answer:

V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3

Step-by-step explanation:

Step-by-step explanation:your answer

V= 1/3hπr²

hope it will help you dear

you told only formula if you need derevation then say :)

What is the FORMULA for the VOLUME of a CONE?

Mark wants to be a chef someday and would like to start learning to grow his own
ingredients in a garden. His mom gives him 12 square feet of space in the back yard to plant
a garden. He marks off % of it to save for a tomato plant and has the rest to use for onions.
Each onion bulb needs square feet of room to grow. How many onion bulbs can he
plant?

Answers

The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)

Answers

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer this by 4:20 EST and I will mark brainliest

Answer this by 4:20 EST and I will mark brainliest

Answers

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = \(\frac{-4-a}{9-6}\) = \(\frac{-4-a}{3}\)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = \(\frac{2}{3}\) x - 2 ← in slope- intercept form

with slope m = \(\frac{2}{3}\)

Parallel lines have equal slopes , then

\(\frac{-4-a}{3}\) = \(\frac{2}{3}\) , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

Can someone help me with this problem please? I'm really struggling and the assignment is already due :(

Can someone help me with this problem please? I'm really struggling and the assignment is already due

Answers

The distances are 13 unit, 5 unit and 10 unit respectively.

For given points,

P(0, -11) and Q(0, 2)

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Therefore,

Distance between PQ,

⇒ d = √ [(0)² + (2 + 11)²]

⇒ d = √ 169

⇒ d = 13 units

For given points,

A(0, 0) and B(-3, -4)

Distance between AB,

⇒ d = √ [(0+3)² + (0+4)²]

⇒ d = √ 25

⇒ d =  5 units

For given points,

C(8, 0) and D(0, -6)

Distance between CD,

⇒ d = √ [(0-8)² + (-6-0)²]

⇒ d = √100

⇒ d = 10

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The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?

Answers

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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True or False: When writing analytical reports, you should include quantitative data only find the local maximum of f(x,y)=6xy-4x-9y-4x^2-4y^2 find the critical point(s) and check the value of at the critical point(s) PLEASEEE HELP. IM BEGGINGSEE PICTURE BELOW ! Which degree of latitude generally experiences the coldest average temperatures?A: 0B: 30C: 45D: 90 compare the Indian and Canadian election processes. 3. What is Freak's new fascination?Chapter 22 What information is needed in order to calculate a training heart rate zone?. a) how can the lte core network be interconnected with legacy core networks? (b) why should this be done? Context: Jim Crow in the Gilded Age (1876-1919)Historical context means understanding how your topic influenced, and was influenced by other people,events, & ideas. When you think about historical context you have to think about what happened bothbefore, during and after the main events of your topic.Social Family & kinshipGender Roles & Relations Social & Economic Classes Racial & ethnic constructions Inequalities Life StylesPoliticalPolitical structures & forms ofgovernanceLeaders, Elites Wars, diplomacy, & treatiesCourts & Laws Sam has a pool deck that is shaped like a triangle with a base of 15 feet and a height of 9 feet. He plans to build a 3:5 scaled version of the deck next to his horse's water trough.Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points) Select the correct answer. What is a disadvantage in radio advertising? A. It does not provide background effects. B. It does not provide market segmentation. C. It is very expensive. D. The stations may be switched by listeners. 2 1.1.2 Quiz: The Nature of ScienceQuestion 2 of 10The data show that both paper grocery bags and plastic grocery bags causeharm to the environment. As a result, the scientists who study this issue aremost likely to:O A change their research and include the study of materials otherthan paper and plastic.B. read about the work of other scientists through time in order tofind new ideas.C. alter the data on how the making of grocery bags affects theenvironment.O D. decide to let people think that neither paper nor plastic bags areharmful.SUBMIT Melanie Martinezs movie:whats the name? Find a point slope for the line with slope 1/5 and passing though point (-7, -3) For the functions below, calculate the indicated function values.(1 Point)f (x) = x 8(x) = 5x - 12 h (x) = x2 + 4x - 7Find f (10)A. 10B. 12C. 38Help!? A typical 6-year-old in a developed nation is all of the following EXCEPT:a) lean in appearance.b) at least 3 feet tall.c)between 40 and 50 pounds in weight.d)chubby in appearance. The payment system that rewards workers for each item that they produce or sell is known as-commission-piece rate-time rate-perks A road running north to south crosses a road going east to west at the point P. car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 55 km/hr, while the airplane is flying at speed 185 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing? 148.38 km/hr Draw a sketch that shows the roads intersecting at point P, Car A, and the airplane. Label the horizontal distance from P to the airplane x and the vertical distance from P to Car A as y, and let z represent the altitude of the plane. What equation relates the distance from Car A to the plane with x, y and z? Using implicit differentiation, solve for the appropriate derivative that answers the "how fast" question. 2x - 1 if x < 0Evaluate g (4) for g(x)for g(x) = xWxif 0 x 5.if x > 5 A loan was made 3 years ago for $100,000 at 24% for a 6 year term. Interest rate is currently 12%. Payments are monthly. What is the market value of the loan today?