\(205,000=.07x+50.5\)

The equation of the relationship between A and B is 3A = 8B

From the question, we have the following parameters that can be used in our computation:

A= 8, 24, 40

B= 3, 9, 15

Calculate the constant of proportion using

constant = B/A

Substitute the known values in the above equation, so, we have the following representation

constant = 3/8

Substitute constant = 3/8 in constant = B/A

3/8 = B/A

So, we have

3A = 8B

Hence, the equation is 3A = 8B

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Answer:

5/20, 2/9, 21%, 8%

Step-by-step explanation:

2/9 = 0.22

21% = 0.21

5/20 = 0.25

8% = 0.08

0.25>0.22>0.21>0.08

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Answer:

△RST∼△FGH by the AA Similarity Theorem.

Answer:

90

Step-by-step explanation:

I'm not sure about the answer

Answer:

x=7

Step-by-step explanation:

(x+16)=(4x-5)

Subtract x from both sides

16=3x-5

Add 5 to both sides

21=3x

Divide both sides to get x=7

Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.

Hope this helps!

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

Answer:

4

Step-by-step explanation:

in all there is 4 places behind the decimal

Answer:

4

Step-by-step explanation:

17.1768

Answer:

a. 40000pi ft^3

b. 5 times

Step-by-step explanation:

a. the volume of a cylinder is pi * h * r^2

r = 20ft, h = 100ft

so V = pi * 100 * 20^2 = 40,000pi or around 125663.7 ft^3

b. to find the number of times, divide the volume by the amount of salt needed per storm then round down:

40000pi/21000 = 5.98 so 5 times. notes: depending on the teacher you might just round to the nearest integer

Using long division for the integration, the final answer is (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C, where C is the constant of integration.

To integrate the given expression using long division, we need to divide the numerator, 3x³ + 1, by the denominator, x³ - x² + x - 1, to obtain a quotient that we can integrate.

First, let's perform the long division:

   x² + 2x + 3

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

x³ - x² + x - 1 | 3x³ + 0x² + 0x + 1

   3x³ - 3x² + 3x - 3

   ------------------

          3x² + 2x - 2

          3x² - 3x + 3

          -----------

                  5x - 5

Therefore, we can rewrite the original integral as:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

The first term, x² + 2x + 3, can be integrated easily. For the second term, we can use partial fraction decomposition or substitute u = x³ - x² + x - 1 to obtain:

∫[(5x - 5) / (x³ - x² + x - 1)] dx = 5∫[du / u] = 5 ln |u| + C

= 5 ln |x³ - x² + x - 1| + C

Putting everything together, we get:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

= ∫[x² + 2x + 3] dx + 5 ln |x³ - x² + x - 1| + C

= (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C

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Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

The graph of this inequality shows a region to the left at x = 12.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality (1/2)x < 6.

Multiplying both sides of the inequality by 2 we get,

2×(1/2)x < 2×6.

x < 12.

The graph of this inequality shows a dotted line at x = 12 and the region is left side to it.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

easy it is

x= -12

Step-by-step explanation:

Given the following five-number summary: 2.9, 5.7, 10.0, 13.2, 21.1, so Q₁ = 5.7. This can be solved using the concept of quartile.

A kind of percentile is a quartile. The first quartile (Q₁, or the lowest quartile), which corresponds to the 25th percentile of the data, is below which 25% of the data are found. The second quartile (Q₂, or the median), which represents the 50th percentile, indicates that 50% of the data are below this quartile.

There are 5 data points, and the middle value of the lower half of the data set will represent the first quartile. So the second data value is the first quartile. So, Q₁ = 5.7

There are 5 data points, and the middle value of the upper half of the data set will represent the third quartile. The fourth data value is the third quartile. So,

Q₃ = 13.2

SO IQR will be:

= Q₃ - Q₁

= 13.7 - 5.1

= 7.5

Thus, Q₁ = 5.7

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Answer:

Need the equation

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

B

Step-by-step explanation:

Lets just imagine that n is 100

a) 32(100) =3200

A is wrong because 3200 is more than the 100 votes cast so Ms. Gordy couldn't have got that. Also 3200 is 32% of 100

c)100(100)/32 =312.5

Again C is wrong because 312.5 is more than the amount of votes cast and isn't 32% of 100

b) 32(100)/100 =32

B is correct because 32% OF 100 IS 32

Answer: 8/7x

Step-by-step explanation:

2x-3x/7x2

rewrite

2x-3/7x x 2

calculate

2x-6/7x

calculate

solution

8/7x

Answer:

g(x) = -2^(x-3) - 5

Step-by-step explanation:

f(x) = 2^x

3 units to the right:

2^x ----> 2^(x-3)

Moved 5 units up:

2^(x-3) ----> 2^(x-3) + 5

Reflected across the x-axis:

2^(x-3) + 5  -----> -2^(x-3) - 5

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Answer:

3

Step-by-step explanation:

\(1 + 2 = 3\)

answer= 3

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the length of the short piece. Then the long piece is 6s+8, and the total length is ...

  s +(6s+8) = 99

  7s = 91 . . . . . . . . subtract 8, collect terms

  s = 13 . . . . . . . . . divide by 7

  99 -13 = 86 = 6(13)+8 . . . length of long piece

The short piece is 13 feet long; the long piece is 86 feet long.

The equation of a line perpendicular to y = -3/4x +1 and passes through (12, 9) is y = 4  /3 x - 7

A linear graph can be represented in slope intercept form as follows:

y = mx + b

where

The line passes through the points (12, 9) and its perpendicular to the graph y = -3/4x +1.

The products of the slope of perpendicular lines is equals to negative one.

Therefore,

m₁ m₂ = -1

Hence,

- 3 / 4 m₂ = - 1

cross multiply

-3m₂ = -4

m₂ = 4 / 3

Therefore, let's find the y-intercept of the line using (12, 9)

y = 4 / 3 x + b

9 = 4  /3(12) + b

9 = 16 + b

b = 9 - 16

b = - 7

Therefore, the equation of the line is y = 4  /3 x - 7

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Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  $62,308.80

Step-by-step explanation:

The total amount paid on the 15-year mortgage is ...

  ($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80

The total amount paid on the 30-year mortgage is ...

  (546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60

__

The amount saved by selecting the 15-year mortgage is the difference of these amounts:

  $196,563.60 -132,254.80 = $62,308.80

_____

Additional comment

This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.

Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.

Answer: The first, The second, and the number line one love!

Step-by-step explanation: