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Answer:

No

Step-by-step explanation:

Answer: No it is not

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

I did this on paper and I have no idea how to explain.

But I think it is 1/2

Hope this helps!

Answer:

The answer is 1/2

Step-by-step explanation: 2/3 divided by 4/5 is 5/6 and that times 3/5 is 1/2

All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept

X=-12

Y=-9

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

your answer is 17

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

The ratio of Trucks to Cars is

\(3: 14\)

The ratio of Hot Dogs to Hamburgers is

\(3 : 5\)

Step-by-step explanation:

There are 42 cars and 9 trucks, and since they asked to write the ratio of trucks to cars, we write it as they asked. Therefore the ratio would be

\(9 : 42 \\ \\ \frac{9}{3} : \frac{42}{3} \\ \\ = 3 : 14\)

There are 24 hotdogs and 40 hamburgers, since they asked us to write the ratio of hotdogs to hamburgers we are going to write it as it was said. Therefore the ratio is

\(24 : 40 \\ \\ \frac{24}{8} : \frac{40}{8} \\ \\ = 3 : 5\)

If 5 apples cost $4. How many times do you multiple 5x5 to get 25? The answer would be 5 times.

So 5apples x 5= 25 apples.

4x5=$20.

The answer would be $20

Answer:

Quincy is 5.5 mi/h faster than Marissa

Step-by-step explanation:

Speed

It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.

The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.

4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:

\(\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h\)

Quincy rides at 15 miles/hour.

Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:

13,376 / 5,280 = 2.533 miles

16 minutes = 16/60 = 0.2667 hours

Marissa's speed is:

\(\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h\)

The difference is 15 - 9.5 = 5.5 mi/h

Quincy is 5.5 mi/h faster than Marissa

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

x<6

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Required

The average

The data whose average is to be calculated are not given.

However, the formula to calculate the average is:

\(\bar x = \frac{\sum x}{n}\)

Assume the data is:

\(1287\ 1215\ 1221\ 1229\)

This means that the number of schools is 4

So:

\(\bar x = \frac{1287+ 1215+ 1221+ 1229}{4}\)

\(\bar x = \frac{4952}{4}\)

\(\bar x = 1238\)

The average of the assumed data is 1238

Answer:

Step-by-step explanation:

2x×1=(√3)²

2x=3

x=3/2

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Answer:

The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.

Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign. 

Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition. 

To answer this, you get to pick any x-value and then solve for y OR you can pick any y-value and solve for x.

For this one, let's pick x = 3.  We'll then substitute 3 in for x in the equation:

       - (3) + 2y = 7

and then solve for x:

       -3 + 2y = 7

Add 3 to both sides:
              2y = 10

Divide by 2 on both sides:
                y = 5

This shows that (3,5) is a solution for the equation.

Again, you could pick any x-value and solve for y OR pick any y-value and solve for x.  There are an infinite number of solutions.

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

–(14 – 7x) 7(x – 2)3x – 14 + 4x

Step-by-step explanation:

Answer:

The answers are c, d, and e

Step-by-step explanation:

Answer:

4/12

Simplest form= 1/3

Step-by-step explanation:

Hope this helps!

5/12-1/12 = 4/12

4/12 divided by 4 = 1/3

The simplest form is 1/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

5/12- 1/12

Now, we have to subtract the fraction by focusing the numerator as

=5/12 - 1/12

=(5-1)/12

=4/12

=1/3

Hence, the simplest form is 1/3.

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To find the location of Mac's house, we need to first find the point that is 1/3 of the distance from Nate's house to the park. We can use the midpoint formula to do this:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) is the location of Nate's house and (x2, y2) is the location of the park.

Using the formula, we get:

Midpoint = [(-4 + 12)/2, (6 + 4)/2] = [4, 5]

This midpoint is exactly halfway between Nate's house and the park. To find the point that is 1/3 of the distance from Nate's house to the park, we need to go 1/3 of the distance from Nate's house to the midpoint.

The distance between Nate's house and the midpoint can be found using the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) is the location of Nate's house and (x2, y2) is the midpoint.

Using the formula, we get:

Distance = √[(4 - (-4))² + (5 - 6)²] = √128

To find the point that is 1/3 of the distance from Nate's house to the midpoint, we can divide the distance by 3 and move that distance from Nate's house towards the midpoint.

The coordinates of the point that is 1/3 of the distance from Nate's house to the midpoint are:

[(4 - (-4))/3, (5 - 6)/3] = [8/3, -1/3]

To find the location of Mac's house, we need to go 2/3 of the distance from the midpoint to the park, in the opposite direction. The coordinates of Mac's house are:

[(4 + 2/3), (5 - 2/3)] = [22/3, 14/3]

Therefore, the location of Mac's house is (22/3, 14/3).

Answer:

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

The mean is:

Simplify and solve for x:

Answer:

x = 45

Step-by-step explanation:

Formula we use,

→ (Sum of numbers/Total numbers) = 35

Now the value of x will be,

→ (Sum of numbers/Total numbers) = 35

→ (20 + 30 + 45 + x)/4 = 35

→ (95 + x)/4 = 35

→ 95 + x = 35 × 4

→ x = 140 - 95

→ [ x = 45 ]

Hence, the value of x is 45.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Answer:

A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975. (a) Data collected in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of 8 inches and a standard deviation of 2.5 inches. Find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches.

Step-by-step explanation:

Let X be a random variable which represents the diameters of aspan trees of a park in 1975.

Given that,  X ~ N(8, 2.52)

Mean (μ) = 8 inches

Standard deviation (σ) = 2.5 inches

We have to obtain P(X < 5.5 inches)

We know that if X ~ N(μ, σ²) then, X-M Z=1 ~ N(0,1)

P(X< 5.5) =    P( X- μ < 5.5 - μ)

                           σ         σ

P(X<5.5) = P(Z < 5.5 – 8  )

                               2.5

P(X<5.5) = P(Z < -1)

Using "pnorm" function of R we get, P(Z < -1) = 0.1587

:: P(X < 5.5) = 0.1587

The probability that a randomly selected Aspen  tree in the park in 1975 would have a diameter less than 5.5 inches is 0.1587.

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

The idea is to use the tangent line to \(f(x)=\sqrt x\) at \(x=25\) in order to approximate \(f(25.3)=\sqrt{25.3}\).

We have

\(f(x)=\sqrt x\implies f(25)=\sqrt{25}=5\)

\(f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}\)

so the linear approximation to \(f(x)\) is

\(L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92\)

Hence \(m=\frac1{10}\) and \(b=\frac92\).

Then

\(f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}\)