Nancy hears a report that the current national average price of gasoline is $3.14. She averages the prices of stations near her home.she finds the average price of gas to be $2.95. Why are the averages different?

Answer:

its b and e

Step-by-step explanation:

Answer:

C: x = 15; E: y = 24

Step-by-step explanation:

For x:

\(\frac{x}{20} = \frac{9}{12}\\\\12x = 180\\\\x = 15\)

For y:

\(\frac{18}{y} = \frac{6}{8}\\\\6y = 144\\\\y = 24\)

Answer:

\(y=-3x+17\)

Step-by-step explanation:

\(m=\frac{8-2}{3-5}=-3 \\ \\ y-2=-3(x-5) \\ \\ y-2=-3x+15 \\ \\ y=-3x+17\)

Answer:

The answer is A) -9.7 > -18.2

Step-by-step explanation:

This is because, when you are thinking about negative numbers, the closer they are to 0, the greater they are. So, it is warmer in Minnesota.

Answer:

A and A

Step-by-step explanation:

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Part A:

A(t) is a linear function, and 12∙J(t) is an exponential function. The straight line nature of A(t) indicates linear growth, while the curve of 12∙J(t) suggests exponential growth.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point where the accumulated profit from sales is sufficient to pay off the entire loan in one lump-sum payment.

Part C:

As P increases while keeping r and J(t) constant, the relationship between the two curves shifts, indicating a higher profit requirement to cover the increased loan amount. This is dangerous for business financial health and banks have safeguards to prevent excessive debt and defaults.

Part A:

From the given information, we have two functions: A(t) and 12∙J(t). Let's analyze their features to determine their types.

A(t) is a linear function:

A linear function is characterized by a constant rate of change and forms a straight line on a graph.

In the given graph, A(t) is represented by a straight line, indicating a linear relationship between the variables.

This suggests that A(t) is a linear function.

12∙J(t) is an exponential function:

An exponential function is characterized by a constant ratio or base and shows exponential growth or decay.

In the given graph, 12∙J(t) is represented by a curve that exhibits exponential growth.

The increasing rate of change as time progresses indicates an exponential relationship.

Therefore, 12∙J(t) is an exponential function.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point at which the profit generated from sales is sufficient to pay off the entire loan in one lump-sum payment. In other words, it represents the point in time when the accumulated profit matches the amount of the loan.

At this intersection point, the profit generated from sales has reached a level where it can fully cover the principal and interest owed on the loan. This indicates that the business has generated enough funds to repay the loan in its entirety.

Part C:

As the principal (P) is increased while keeping the interest rate (r) and 12∙J(t) constant, the relationship between the two curves changes. Specifically, the intersection point between the curves shifts to the right on the graph.

This change in the relationship between the curves signifies that the business needs a higher level of profit to cover the increased loan amount. It suggests that the business has taken on a larger loan, which requires a higher profit to repay.

This situation is considered dangerous for the financial health of the business because it increases the risk of not generating sufficient profit to repay the loan. If the business fails to generate enough profit to cover the loan payments, it may lead to financial instability and potential default on the loan.

To mitigate such risks, banks put safeguards in place to prevent businesses from taking on excessive debt. These safeguards include conducting thorough evaluations of the business's financial health, setting limits on loan amounts based on the business's income and creditworthiness, and assessing the repayment capacity of the borrower. These measures aim to minimize the risk of defaults and protect both the borrower and the lender.

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Answer:

x could be anything but might be 3<4 or 5?8 u really never kno

Answer:

For the given graph the constant of proportionality is 6.

Step-by-step explanation:

Answer:

  (a)  p = 6

Step-by-step explanation:

You want the constant of proportionality if the point (1/2, 3) lies on the graph of the relationship.

The equation for a proportional relationship is ...

  y = px

The value of p can be found as ...

  p = y/x . . . . . divide by x

For the given relationship, the point (x, y) = (1/2, 3) tells ...

  p = 3/(1/2) = 3·(2/1) = 6

The constant of proportionality is p = 6, matching choice A.

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The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

80 miles per hour

Step-by-step explanation:

320 miles /4 hours = 80 miles per hour

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

108

Step-by-step explanation:

4−22+135−9

=−18+135−9

=117−9

=108

The mystery number is 20 for the given information.

A number system is defined as a system of writing to express numbers.

To find the mystery number, we need to find a number that satisfies all the given conditions:

The GCF of 18, 36, and the mystery number is 2.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 36 is 2 x 2 x 3 x 3.

The only common factor is 2 x 3 x 3, which is equal to 18.

This means that the mystery number must also be divisible by 2.

The mystery number is a multiple of 5.

Since the mystery number is a multiple of 5 and also divisible by 2, it must end in 0 or 5.

The mystery number is greater than 18 and less than 30.

The only number that satisfies all three conditions is 20.

Hence, the mystery number is 20 for the given information.

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Answer:

YEs

Step-by-step explanation:

He is correct. as long as his coin has 2 sides

I answered so the other guy could get brainlest

Answer:

4x-4

Step-by-step explanation:

Hope this helps!!!!!✨✨✨

The sets of 5 different numbers with same standard deviation but different mean are {2,4,6,8,10} and {20,22,24,26,28}.

The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values.

Let us consider two data sets :{2,4,6,8,10} and {20,22,24,26,28}

Now for the first set:{2,4,6,8,10}

Mean = (2+4+6+8+10)÷5 = 30÷5 = 6

Standard deviation = 3.16

Now for the second set:{20,22,24,26,28}

Mean = (22+24+26+28+20)÷5 = 120÷5 = 24

Standard deviation = 3.16

Therefore these two data sets have same  standard deviation but different mean.

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The value of x = 7 (option D)

Given:

AD is a diameter

Arc BD= 6x - 9

arc DC = 3x + 12

To find:

the value of x

Arc BC = Arc BD + Arc DC

Arc BD and Arc DC are congruent

Arc BD = Arc DC

Answer:

Step-by-step explanation:

Five students= 5x

They all got two more= 5x + 2(5)

5x + 10 = 30

     - 10    -10

5x = 20

    5

x = 4

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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The smaller of the triangle’s two acute angles is 65 degrees

Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Discover the various sorts of angles and examples of each.

Given:

Angles in a triangle

\(sin (4x-5)^\circ= cos (3x+4)^\cir\)

Since, sin \(\theta\)= cos(90 - \(\theta\)),

cos(90 - (4x - 5 )) = cos(3x +4)

cos(85 - 4x) = cos (3x+4)

Cancel out the cosine functions to have:

85- 4x = 3x+ 4

81 = 7x

x= 11.57

Hence, the smaller of two acute angles is 11.57 degrees

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Answer:

27

Step-by-step explanation:

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

Angle T = 79°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite U (u) = 2.7 cm

Side opposite S (s) = 3.9 cm

Side opposite T (t) = 4.3 cm

Angle T =?

The value of angle T can be obtained by using cosine rule as illustrated below:

t²= s² + u² – 2suCosT

4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T

18.49 = 15.21 + 7.29 – 21.06 × CosT

18.49 = 22.5 – 21.06 × CosT

Rearrange

21.06 × Cos T= 22.5 – 18.49

21.06 × Cos T = 4.01

Divide both side by 21.06

Cos T = 4.01 / 21.06

Cos T = 0.1904

Take the inverse of Cos

T = Cos¯¹ 0.1904

T = 79°

Answer:

The work done by the force is 42.4 Joules

Step-by-step explanation:

The force F = 7 pounds

angle to the horizontal that the force acts ∅ = 30°

The object is moved a distance d = 7 feet

The coordinate  (0 comma 0 )to (7 comma 0 ), indicates that the movement started from the origin, and is along the x-axis.

The work done by this force = F cos ∅ x d

==> 7 cos 30° x 7

==> 7 x 0.866 x 7 = 42.4 Joules

Answer:

refrence attached

Step-by-step explanation:

The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

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The current stock price is $54.15.

Given that  RLX Company just paid a dividend of $2.85 per share on its stock and dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely.

Stock valuation alludes to the valuation of the natural worth per portion of an organization's stock which can help the organization in deciding its reasonable worth in case of twisting up or consolidation. One of the models used to esteem the stock cost is the profit development model. It expects the cost of the stock to be the current worth representing things to come profits of the stock accepted to develop at a consistent rate.

Dividend (D0) = $2.85

Growth rate (g) = 4.5%

Required return (r) = 10%

Firstly, we have to calculate the value of the current stock price.

The current stock price can be calculated by using the dividend growing model.

\(\begin{aligned}\text{Current stock price}&=\frac{D_{0}\times(1+g)}{r-g}\\ &=\frac{2.85\times (1+0.045)}{0.10-0.045}\\ &=\frac{2.85\times 1.045}{0.055}\\ &=\frac{2.97825}{0.055}\\ &=54.15\end\)

Hence, the current stock price when dividend of $2.85 are expected to grow at a constant rate of 4.5 percent per year, indefinitely is $54.15.

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Answer:

254.5 in.^2

Step-by-step explanation:

diameter of mirror = 12 in.

radius of mirror = diameter/2 = 13 in. / 2 = 6 in.

frame width = 3 in.

radius if combined mirror and frame = 6 in. + 3 in. = 9 in.

A = (pi)(r^2)

A = 3.14159 * (9 in.)^2

A = 3.14159 * 81 in.^2

A = 254.5 in.^2

Answer:

Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.

A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.

What is the surface area of this figure?

_____________ square meters

320

322

√368

386

Step-by-step explanation:

it was that because you have to figure out the numbers and multiply all the number and you get the number 368

Answer:

368

Step-by-step explanation: