Some students at Cook Middle School and Elm Middle School participated in a survey. They were asked which sports drink they prefer: Gym Juice or Energy Flow. The two-way table shows the results. What is the relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow?

Answer:

56 goals in 40 games

Step-by-step explanation:

I'll assume the 1.4 goals is the average per game.

(1.4 goals/game)*(40 games) = 56 goals in 40 games.

Answer:

56

Step-by-step explanation:

hope this helps

For the given details the journal entry,

1) Compensation Expense $10.0 million

SARs Liability $10.0 million

2)  SARs Liability $5.0 million

Cash $5.0 million

To record this adjustment, we need to debit Compensation Expense and credit SARs Liability. The amount of the adjustment will be equal to the fair value of the SARs on the exercise date. Let's assume that the fair value of the SARs on June 6, 2021, is $10 million.

To record this journal entry, we need to debit SARs Liability and credit Cash. Let's assume that the market price of the stock on June 6, 2021, is $70 per share and the exercise price of the SARs is $65 per share. Also, let's assume that the company has 1 million SARs outstanding.

The total cash payment will be equal to the difference between the market price and the exercise price multiplied by the number of SARs exercised. In this case, the cash payment will be:

($70 - $65) x 1 million = $5.0 million

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Complete Question:

The SARs are exercised on June 6, 2021, when the share price is $65, and executives choose to receive the market price appreciation in cash. Prepare the appropriate journal entry(s) on that date. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

1.Record any necessary adjustment to compensation expense.

2.Record the payment of cash.

(a) The amplitude of f(x) is 1/2. (b) The period of f(x) is 2π/7. (c) The maximum value of f(x) is 2.5, and the minimum value of f(x) is 1.5.

(a) The amplitude of the trigonometric function f(x) = 2 + 1/2 cos(7(x+1)) is 1/2.

(b) The period of the trigonometric function f(x) = 2 + 1/2 cos(7(x+1)) can be determined using the formula T = 2π/|b|, where b is the coefficient of x in the argument of the cosine function. In this case, the coefficient is 7, so the period is T = 2π/7.

(c) To find the maximum and minimum values of f(x), we need to consider the amplitude and vertical shift of the cosine function. The maximum value of f(x) is given by the sum of the amplitude and the vertical shift, while the minimum value is given by the difference between the vertical shift and the amplitude.

In this case, the amplitude is 1/2 and the vertical shift is 2. Therefore, the maximum value of f(x) is 2 + 1/2 = 2.5, and the minimum value is 2 - 1/2 = 1.5.

So, the maximum value of f(x) is 2.5, and the minimum value of f(x) is 1.5.

In summary:

(a) The amplitude of f(x) is 1/2.

(b) The period of f(x) is 2π/7.

(c) The maximum value of f(x) is 2.5, and the minimum value of f(x) is 1.5.

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The only solution to the equation |2x+8|=3x+7 is x=1.

To solve the equation |2x+8|=3x+7 and check for extraneous solutions, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 2x+8 is positive.
In this case, we can remove the absolute value signs without changing the equation.
2x+8=3x+7

Next, we can isolate the variable by subtracting 2x from both sides:
8=x+7

Then, we subtract 7 from both sides to solve for x:
1=x

Therefore, when 2x+8 is positive, the solution to the equation is x=1.

Case 2: 2x+8 is negative.
In this case, we need to change the sign of the expression inside the absolute value when removing the absolute value signs.
-(2x+8)=3x+7

Now, let's simplify the equation by distributing the negative sign:
-2x-8=3x+7

To solve for x, we can combine like terms by adding 2x to both sides:
-8=5x+7

Next, we can isolate the variable by subtracting 7 from both sides:
-15=5x

Finally, we solve for x by dividing both sides by 5:
-3=x

Therefore, when 2x+8 is negative, the solution to the equation is x=-3.

To check for extraneous solutions, we substitute the solutions we found back into the original equation and see if both sides are equal.

When x=1:
|2(1)+8|=3(1)+7
|10|=10

Since both sides are equal, x=1 is a valid solution.

When x=-3:
|2(-3)+8|=3(-3)+7
|-6+8|=-9+7
|2|=-2

Since the absolute value of 2 is not equal to -2, x=-3 is an extraneous solution and is not valid.

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Answer:

B

Step-by-step explanation:

Answer:

The answer is x > -7

Step-by-step explanation:

The starting out equation is:

-8(x - 3) + 5x < 9(x + 12)

Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]

Once you do that, you have something like this:

-8x + 24 + 5x < 9x + 108

Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.

-3x + 24 < 9x + 108

When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:

-3x -9x + 24 < 108

You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.

And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:

-3x -9x < 108 -24

Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)

-12x < 84

Now that we isolated the variable, we have to divide it by -12.

KEEP IN MIND!!

When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!

When you are dividing by a negative number,

REVERSE THE SIGN!!

I always forgot this and got it wrong back then!!

Back to the lesson, itll look like this when dividing

-12x < 84

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

-12x -12x

Once you divide it, you'll get this

x > -7

I hope this helped!

Therefore, the slope of the tangent line to the curve 6 sin (x)+5 cos (y)-2 sin (x) cos (y)+x=3 π at the point (3 π, 5 π / 2) is 5/2.

The given equation is 6 sin(x) + 5 cos(y) - 2 sin(x) cos(y) + x = 3π.

To find the slope of the tangent line at the given point, we need to use the formula for the derivative of implicit functions.

For the implicit function F(x, y) = 6 sin(x) + 5 cos(y) - 2 sin(x) cos(y) + x - 3π,

we have to calculate ∂F/∂x and ∂F/∂y.

∂F/∂x = 6 cos(x) - 2 cos(y) sin(x) + 1

∂F/∂y = -5 sin(y) + 2 sin(x) sin(y)

Now we find the values of ∂F/∂x and ∂F/∂y at the point (3π, 5π/2).

∂F/∂x = 6 cos(3π) - 2 cos(5π/2) sin(3π) + 1 = -5

∂F/∂y = -5 sin(5π/2) + 2 sin(3π) sin(5π/2) = -2

Hence, the slope of the tangent line to the curve at the point (3π, 5π/2) is given by the expression:

dy/dx = -∂F/∂x / ∂F/∂y= -(-5) / (-2) = 5/2

Therefore, the slope of the tangent line to the curve

6 sin (x)+5 cos (y)-2 sin (x) cos (y)+x=3 π at the point (3 π, 5 π / 2) is 5/2.

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Answer:

8.6

Step-by-step explanation:

(-1.5)-(-10.1)

Subtracting a negative is like adding

(-1.5)+(10.1)

Rewriting

10.1 - 1.5

8.6

Answer: x = 8

because  The upper triangle is an isosceles triangle (the two sides are equal)

=> 5x + 5 = 45°

<=> x = (45 - 5) : 5

<=> x = 40:5 = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

5x + 5 + 5x + 5 + 90 = 180, that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

The rate at which the local temperature in Country Z is changing with respect to time 3 years from now is approximately -14.286 °C/year. This indicates a predicted decrease in temperature of about 14.286 °C per year in Country Z.

To find this rate of change, we need to differentiate the temperature function T(x, y) = 0.15/7 - 5x + 2y + 37 with respect to time. Since the rate of change with respect to time is what we're interested in, we treat x, y, and t as variables and differentiate only with respect to t.

Taking the partial derivatives of T(x, y) with respect to x, y, and t, we get:

∂T/∂x = -5
∂T/∂y = 2
∂T/∂t = 0

Now, we substitute the values of x, y, and t that correspond to 3 years from now: x = r(t) = 1 / (121 + 71 – 5t) + Bt, y = C = 29, and t = 3.

Substituting these values, we have:

∂T/∂x = -5
∂T/∂y = 2
∂T/∂t = 0

Therefore, the rate at which the local temperature in Country Z is changing with respect to time 3 years from now is approximately -14.286 °C/year.

In conclusion, the local temperature in Country Z is predicted to decrease at a rate of approximately 14.286 °C per year, based on the given function and values.

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Answer: 10%

Step-by-step explanation: R20 = 100

Therefore R1 = 100%÷ R20 = 5%. The difference between R22 and R20 is R2, therefore the increase in % is R2×5%=10%.

Answer:

+10%

Step-by-step explanation:

i got it right on edge

The statement "There is a strong positive correlation between studying and grades" best describes the meaning of a correlation coefficient of 0.93. The correct answer is A.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, a correlation coefficient of 0.93 indicates a strong positive correlation between studying and grades.

A positive correlation means that as the value of one variable (study time) increases, the value of the other variable (grades) also tends to increase. A correlation coefficient close to +1 indicates a strong positive relationship, suggesting that an increase in study time is associated with higher grades. e correct answer is A.

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The correct answer is: c.) allowing analyzing data with different formats.

Tableau and Power BI do not have the capability to analyze data with different formats.

Both Tableau and Power BI are visualization tools that are designed to;

They are both powerful tools that allow users to easily manipulate data, create interactive dashboards, and generate meaningful insights from large amounts of data.

Tableau and Power BI will allow users to create charts, graphs, and other visualizations to help identify trends, patterns, and relationships in the data.

Tableau and Power BI both offer a wide range of features and functionality, including the ability to connect to various data sources, perform data analysis and modeling, and create interactive dashboards and reports. They are both popular choices for businesses, organizations, and individuals looking to gain insights from their data and make informed decisions.

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To find area, you multiply base x height. So to find base and height, you find the square root of 324(because this is a square). I am in 8th grade and I don't really know how to find the square root so I googled it(sorry).

sqrt of 324 is 18.

Double Check!

18

x18

144

+180

324

So each side is 18 inches.

hope it helps!

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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Answer:

50°

Step-by-step explanation:

Complementary angles sum to 90° , then

complement = 90° - 40° = 50°

The equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

This is the required equation of a line in a point-slope form.

We know that Point-Slope Form:

y - y₁ = m(x- x₁)  

Where x₁ - x coordinate and y₁ - y coordinate

m - slope

Point (8,-4)

Then Slope m = 1/2

Now the equation as;

y + 4 = 1/2(x - 8)

 y  = -1/2(x -4) - 4

y = -x/2 + 2 - 4

y = -x/2 - 2

Hence, the equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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A) Rounding to the nearest whole number, Anthony needs to scoop out 13 cups of water with this cup.

B) Rounding to the nearest whole number, Anthony needs to scoop out 3 cups of water with this cup.

The volume of the sink is given as 660 Pi inch cubed, which means the radius of the half-sphere sink is:

\(r = (3 \times 660 Pi / 4Pi)^{(1/3)} = 9 inches\)

A) For the first cup with a diameter of 5 inches and a height of 8 inches, the volume of the cup is:

\(V = Pi \times r^2 \times h = Pi \times (2.5)^2 \times 8 = 50\)Pi inch cubed

The number of scoops required to empty the sink can be found by dividing the volume of the sink by the volume of one scoop:

Number of scoops = 660 Pi / 50 Pi = 13.2

Rounding to the nearest whole number, Anthony needs to scoop out 13 cups of water with this cup.

B) For the second cup with a diameter of 10 inches and a height of 8 inches, the volume of the cup is:

\(V = Pi \times r^2 \times h = Pi \times (5)^2 \times 8 = 200\) Pi inch cubed

The number of scoops required to empty the sink can be found by dividing the volume of the sink by the volume of one scoop:

Number of scoops = 660 Pi / 200 Pi = 3.3

Rounding to the nearest whole number, Anthony needs to scoop out 3 cups of water with this cup.

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Answer:a

Step-by-step explanation:

The distance between the two points in simplest radical form. (-1, 3) and (7, 5) is 68

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)

using the formula for distance between two points;

d = \(\sqrt{(x1-x2)^2 + (y1 - y2)^2}\)

Substituting for the values

d = \(\sqrt{(-1-7)^2 + (3 - 5)^2}\)

d = \(\sqrt{(-8)^2 + (-2)^2}\)

d = \(\sqrt{64 + 4}\)

d= \(\sqrt{68}\)

d = 8

Hence, the distance between the two points is 8

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Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

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Answer:

No, the sign won't change. The sign will only change if you multiply each side by -1.

Step-by-step explanation:

adding negative numbers also won't change the sign. We can see this because we are adding the same numbers

6<10

10<14

2<6

-6<-2

Answer:

16 seconds per download

Step-by-step explanation:

480/30 = 16 seconds

Answer:

16 seconds.

Step-by-step explanation:

just take 480 divided by 30.

that should give you 16.

16 seconds per song

The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The given function is - f(t) = 3 - 3/5t.

The data points are - (3/5, 2)

Rewrite the function -

f(t) = 3 - 3/5 t^-1

Differentiate with respect to t. Use the difference rule.

d/dt (3) - d/dt (3/5 t^-1)

Use the constant rule and the constant multiple rule.

0 - 3/5 d/dt (t^-1)

Use the power rule.

-3/5(-1)t^(-1 - 1)

3/5t^-2

Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).

3/5(3/5)^-2

3/5(5/3)^2

3/5 × 25/9

5/3

Therefore, the slope value is 5/3.

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Find the slope of the graph of the function at the given point.

Function Point f(t) = 3 - 3/5t (3/5, 2)

Answer:

87 is the number

Step-by-step explanation:

Step-by-step explanation:

A financial planner is a professional who helps businesses and individuals create a schedule to achieve long-term financial goals. Financial advisor is a broader term for those who help manage your money, including investments and other accounts.

To express vector w as a linear combination of the basis vectors {v1, v2, v3} and find its coordinate vector [w]basis b with respect to this basis, we can use the theorem of coordinate vectors.

The coordinate vector [w]basis b represents the coefficients of the linear combination of the basis vectors that result in vector w.

In other words, we need to find scalars c1, c2, and c3 such that w = c1*v1 + c2*v2 + c3*v3. These scalars will be the entries of the coordinate vector [w]basis b.

Once we determine the scalars c1, c2, and c3, we can construct the coordinate vector [w]basis b = [c1, c2, c3]. This vector will represent the coordinates of vector w with respect to the basis b = {v1, v2, v3} in ℝ3.

By applying the appropriate operations or solving a system of equations, we can find the values of c1, c2, and c3, which will allow us to express vector w as a linear combination of the basis vectors and determine its coordinate vector [w]basis b.

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