4. Make an arrow diagram to represent the relation shown in the table. Is the relation a function? Explain.​

Answer: (2*3) = 6

(2*9) = 18       6+ 18 = 24

(3+9) = 12

Step-by-step explanation:

So whats missing is times 2 on the right side next to (3+9) *2

(2×3)+(2×9)=. (3+9)​*2

Answer:

Selling Price= $90.75

(i) Original Price= $90.75/0.75= $ 121.00

(ii) 1 Book= $90.75

10 Books= $90.75*10= $907.50

Total Amount Paid= $907.50*1.16 =$1052.70

Step-by-step explanation:

2 option is the answer.

hope it helps

Answer:

ii. is the answer .

Step-by-step explanation:

option ii. is the answer .

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

I hope this helps!

The differential equation describing the relationship between the balance B of Rachel's car loan and time t is given by dB/dt = 0.045B - 375.

The equation represents the change in the balance of Rachel's car loan over time. The term dB/dt represents the rate of change of the balance with respect to time. The right-hand side of the equation consists of two terms. The first term, 0.045B, represents the increase in the balance by 4.5% per month. This term accounts for the growth of the loan balance due to accrued interest.

The second term, -375, represents the decrease in the balance by $375.00 each month, which could be the monthly payment towards the loan principal. By subtracting this payment from the growth, the equation captures the net change in the balance. The equation allows us to model and analyze the behavior of the loan balance as time progresses.

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The true speed of the object is 58.524.

The direction of the object is 163°.

Given that,

An object experiences two velocity vectors in its environment.

v1 = −60i + 3j

v2 = 4i + 14j

Resultant vector is,

V = v1 + v2

   = -56i + 17j

Now the true speed is,

True speed = √(=[(-56)² + (17)²] = 58.524

Direction of the object is,

Direction = tan⁻¹ (17 / -56)

               = - tan⁻¹ (17/56)

               = -16.887° ≈ -17°

                                = 180° - 17 = 163°

Hence the correct option is A.

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Answer:

5 eggs per hen

Step-by-step explanation:

Divide 65 and 13

Have a wonderful Day!

Answer:

9 hours

Step-by-step explanation:

The time taken is inversely proportional to the number of men; if M = number of men and D = number of days this can be expressed as
\(D \displaystyle \propto } \dfrac{1}{M}\\\\\text{which can be expressed as an equation: }\\\\D = k \cdot \dfrac{1}{M}\\\\or\\\\D = \dfrac{k}{M}\\\\\)

k is known as the constant of proportionality which can be expressed as

\(k = D\cdot M\)

Inversely proportional means:
As the number of men increases, the time taken decreases

As the number of men decreases, the time taken  increases

We can find k from the given information with M = 3 and D = 6 hours

\(k = 6 \cdot 3 = 18\)

\(\textrm{Therefore, given M= 2, D = $\dfrac{18}{2} = 9$ \;hours}\)

For 2 men it will take 9 hours to repair the road

we can use the sinusoidal model for temperature variation over a day.

The temperature variation over a day can often be represented by a sinusoidal function, such as the cosine or sine function. These functions have specific properties, including an amplitude, period, and phase shift, that determine the shape and timing of the temperature curve.

Without knowing the specific characteristics of the sinusoidal function that models the temperature variation, it is challenging to provide an accurate prediction of the temperature at 8 am. The amplitude, period, and phase shift values are needed to precisely determine the temperature at any given time.

To obtain a more accurate estimation, additional information about the sinusoidal function's parameters or data points at other times of the day would be necessary. This would allow for the determination of the specific function and, subsequently, the temperature at 8 am.

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The complete question is:

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 96 degrees occurs at 5 PM and the average temperature for the day is 85 degrees. Find the temperature, to the nearest degree, at 9 AM.--- degrees

Answer:$10

Step-by-step explanation:

Assume 20% = 0.20

50 x 0.20 = 10

OR

Move the decimal one place to the left for 10 percent, and double it to get 20 percent.

Answer:

Suppose 20% Equals 0.20.

50 x 0.20 = 10

To acquire 10%, move the decimal one position to the left, and to reach 20%, double it.

Step-by-step explanation:

Answer:

It is either 39.5 or 42.

Step-by-step explanation:

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

Answer:

The third model

Step-by-step explanation:

I'm pretty sure it is, I can't see all of them tho

Since the amount of yarn available is what defines the size of the blanket, the amount of yarn is the independent variable, and it is the input for the table or equation.

The size of the blanket depends on the amount of yarn, so the size of the blanket is the dependent variable, and it is the output of the table or equation.

Therefore the option that shows the true statement is C.

Answer:

+7

Step-by-step explanation:

if you go from 28 to 21 you see there is a difference of 7 and sense the number is a smaller number now we know the dolphin went up more towards the surface there for there is a change of positive 7

28-21=7

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

Reject the null hypothesis since her F statistic is beyond the cutoff, and perform a post hoc test to determine between which groups the significant difference occurs.

Given,

In the question:

Gretchen is comparing verbal ability scores for four groups. she finds that the f statistic for her test is 4.01, and the cutoff value she identified prior to her analysis was 3.45.

To find the Gretchen reject or fail to reject the null hypothesis.

Now, According to the question:

f statistic test is 4.01

and the cut-off value analysis 3.45

Hence, Reject the null hypothesis since her F statistic is beyond the cutoff, and perform a post hoc test to determine between which groups the significant difference occurs.

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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

A parallelogram is formed when both pairs of opposite sides of a quadrilateral are congruent. A parallelogram is formed when one pair of opposite sides of a quadrilateral are parallel and congruent.

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The square root of 169 is indeed 13.When simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

To simplify the expression √169, we need to find the square root of 169. The square root of a number is a value that, when multiplied by itself, equals the original number.

In this case, we can calculate the square root of 169 as follows:

√169 = 13

So, the simplified form of the expression √169 is 13.

To verify this result, we can square 13 to check if it equals 169:

13^2 = 169

Therefore, the square root of 169 is indeed 13.

In general, when simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

Taking the square root of a perfect square yields the positive and negative square roots of that number. However, when referring to the principal square root (which is typically denoted by the radical symbol), we consider only the positive square root.Hence, the simplified form of √169 is 13.

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Since only one box contains gold, then the gold must be in Box 2.

Let's analyze the statements in each box:

Box 1 says, "The gold is not in Box 2." If this statement is true, it means the gold cannot be in Box 2.

Box 2 says, "The gold is in this box." If this statement is true, it means the gold must be in Box 2.

Box 3 says, "The gold is not in this box." If this statement is true, it means the gold cannot be in Box 3.

Now, let's consider the possibilities:

If Box 1 is true, then the gold is not in Box 2 (as stated in Box 1), and it is also not in Box 3 (since Box 3 would be false, and only one box contains the gold).

As per Box's 1 statement, the gold is not in Box 2.

If Box 3 is true, then the gold is not in Box 3 (as stated in Box 3), and it is also not in Box 2 (since Box 2 would be false, and only one box contains the gold).

Therefore, the gold must be in Box 1.

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When the temperature increased by 19.8 degrees fahrenheit , the temperature in degrees Celsius got increased by 11 degree

The equation C that gives the temperature in degree Celsius is

C = \(\frac{5}{9}(x - 32)\)

Where x denotes the degree Fahrenheit

According to the question,

Temperature has increased by 19.8 degree Fahrenheit

So, let the new temperature be " x' "

x' = x + 19.8

Therefore, For calculating temperature in degree Celsius

=> C' = 5/9 (x' - 32)

Substituting the value of x'

=> C' = 5/9 (x + 19.8 - 32)

=> C' = 5/9 ( x - 32) + 5×19.8/9

=> C' = C + 99/9

=> C' = C + 11

Hence , The temperature increased by 11 degree Celsius

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To graph the polar equation r = 3 + 6cos(θ), we can use a graphing utility such as Desmos or Wolfram Alpha. The resulting graph will show a cardioid with an inner loop.

To find the area of the given region, we need to set up an integral in terms of θ. The region is bounded by the inner loop of the cardioid, so we need to find the limits of integration for θ.

At the point where the inner loop intersects the x-axis, we have r = 0.

Solving for θ in this case, we get θ = π/2. The other intersection point with the x-axis occurs when r = 3 + 6cos(θ) = 0.

Solving for θ in this case,

we get θ = 2π/3 or 4π/3.

Thus, the limits of integration for θ are π/2 to 2π/3.

The area can be found using the formula A = (1/2)∫[r(θ)]^2 dθ.

Substituting in r = 3 + 6cos(θ),

we get A = (1/2)∫[3 + 6cos(θ)]^2 dθ from π/2 to 2π/3.

Evaluating the integral,

we get A = (1/2)∫[81cos^2(θ) + 36cos(θ) + 9] dθ from π/2 to 2π/3.

Simplifying and evaluating the integral,

we get A = 27/2π.

Therefore, the area of the given region is 27/2π.

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Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

The smallest sample in the following list that meets the requirements for using a normal model to depict the sampling distribution is 0.0349.

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. Statisticians have concluded that numbers with a margin of error of no more than 2 SD reflect measures that are closer to the real value than those with a margin of error more than 2SD. As a result, most QC procedures mandate that remedial action be taken for data points that consistently fall outside of the 2SD range.

Here,

Probability that students surveyed rarely or never use academic advising services = 32% = 0.32

In reality, students rarely or never use academic advising services at their college = 42% = 0.42

Sample size, n = 200

The sampling distribution of sample proportion will be approximately normal with mean.

therefore,

Mean, = p

= 0.42

now, the standard deviation is given using the formula

on substituting the respective values, we get

= √0.001218

= 0.0349

The smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution is 0.0349.

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Answer:

the answer is 2:3

Step-by-step explanation:

1/1.5=2/3

Measurement is closest to the number of kilometers between these

two lighthouses is 219.2 kilometers.

Assume the distance between two lighthouses is x kilometers in 137 miles.

It knows there are approximately 8 kilometer in 5 miles.

Since the number of kilometers per mile is same

So    x:137=8:5

x/137=8/5

5x=1096

5x/5=1096/5

x=219.2

1 kilometer is equal to 0.621371 miles (often shortened to . 62). 1 mile is equal to 1.609344 kilometers. Thus, to convert kilometers to miles, simply multiply the number of kilometers by 0.62137.

The number of kilometers between these two lighthouses is 219.2.

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Answer:

x+3

Step-by-step explanation:

combine like terms then simple math

Answer:

Simple Algebra.

Step-by-step explanation:

x2 + 5x + 6/

X + 2

= −3

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have: