Perform the indicated operation.
-3(-8)(-2)

Numbers when multiplied equal -120, added/subtracted gives 7 .

What is quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, additional methods of solving quadratic equations include factoring, completing the square, graphing, and others.

Two equations

x y = 7

x + y = 7

solving for one variable

y = 7/x

applying the one variable

x + 7/x = 7

multiplying both sides by x

x^2 + 7 = 7x

rewriting to a quadratic equation

x^2 - 7x + 7 = 0

applying the quadratic formula

x = 1/2 (7 + square root 21) and y = 1/2 (7 - square root 21)

approximate answer

x ~ 5.79129 and y ~ 1.20871

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a) The value for the mean quiz is obtained as 15.25.

b) To get a mean score of 16 the score that Kirk should get in the upcoming quiz is 19.

What is mean?

In statistics, in addition to the mode and median, the mean is one of the metrics of central tendency. Simply put, the mean is the average of the values in the given collection. It indicates that values in a particular data collection are distributed equally. The three most frequently employed metrics of central tendency are the mean, median, and mode.

a) To find the mean quiz score, we add up the four scores and divide by 4 -

Mean = (15 + 14 + 16 + 16) / 4 = 15.25

Therefore, Kirk's mean quiz score is 15.25.

b) Let's call the score Kirk needs to get on the next quiz "x".

We know that Kirk's mean quiz score after the fifth quiz must be 16. So we can set up the following equation -

(15 + 14 + 16 + 16 + x) / 5 = 16

Now we can solve for x using the equation -

61 + x = 80

x = 19

Therefore, Kirk needs to get a score of 19 on the next quiz to have a mean quiz score of 16 points.

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The average rate of change of f(x) = 2x^2 + 8 over interval [1, 4] is:

R = 10

For a function f(x) we define the average rate of change on an interval [a, b] as:

r = ( f(b) - f(a))/(b - a)

In this case the function is:

f(x) = 2x^2 + 8

And the interval is [1, 4]

Evaluating the function in these values we will get:

f(4) = 2*4^2 + 8  = 2*16 + 8 = 40

f(1) = 2*1^2 + 8 = 10

Then the average rate of change will be:

R = (40 - 10)/(4 - 1) = 30/3 = 10

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The short-run aggregate supply (SRAS) curve has a positive slope because it represents the relationship between the price level and the quantity of goods and services supplied in the economy in the short run.

As the price level rises, firms are incentivized to increase production to maximize profits, leading to a higher quantity supplied. In the short run, some input prices, such as wages, are sticky and do not adjust immediately to changes in the overall price level. Therefore, when the price level rises, firms can sell their output at higher prices without incurring significant cost increases.

This allows firms to increase production and supply more goods and services in response to higher prices, leading to a positive slope of the SRAS curve.

In the long run, however, input prices become more flexible and adjust to changes in the overall price level. Wages, for example, may increase as workers negotiate higher salaries in response to inflation.

As input prices adjust, firms' costs increase, reducing their profitability. In the long run, firms cannot sustain higher levels of production solely based on higher prices, resulting in a vertical long-run aggregate supply (LRAS) curve.

The LRAS curve represents the economy's potential output, determined by factors such as technology, resources, and the size of the labor force, which are unaffected by changes in the overall price level.

Thus, the vertical LRAS curve indicates that in the long run, changes in the price level do not affect the economy's overall level of output, but only result in changes in the price level itself.

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Answer:

20 guitars

Step-by-step explanation:

since 12 guitars is equivalent to 60% of the sales then you would divide the 12 guitars by .6 to get the total number of guitars sold

12/.6 = 20 guitars

Answer:

the answer is 20 guitars

Step-by-step explanation:

math

Answer:

578

Step-by-step explanation:

divide the length value by 1.609

The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

One of Julian's friends also has a rectangular aquarium.

The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

Let x be the length of Julian's tank.

Let y be the width of Julian's tank.

So, the Area of Julian's tank = length × Width

                                               = xy

Since we are given

300 = xy

Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.

So, the length of his friend's tank = 5/4 x

So, the width of his friend's tank = 5/4 y

So, Area of his friend's tank = ( 5/4 x) (5/4 y)

                                           = 25 / 16 xy

                                           = 25 / 16 (300)

                                           = 468.75

Hence the area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.

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Answer:

Side length: z + 4

Perimeter: 64

Step-by-step explanation:

Hello!

Since the area of a square is the square of the sde length,

using the special binomial product formula: (a+b)² = a² + 2ab + b²:

The side length of the square is (z+4)².

The perimeter is 4(z + 4), where z is 12:

The side length is z + 4, the perimeter is 64

There are 4 packages of juice bottles if there are 24 juice bottles and 6 bottles in each package.

There are 24 juice bottles and 6 bottles in each package. To find the number of packages, you need to divide the total number of juice bottles by the number of bottles in each package:

Number of packages = the total number of juice bottles ÷ the number of bottles in each package
Number of packages = 24 juice bottles ÷ 6 bottles/package

Number of packages = 4 packages

Therefore, there are 4 packages of juice bottles.

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Answer: D

Step-to-step explanation:

Answer:

C

Step-by-step explanation:

The orange shirts will have 32/6 = 5 with 2 left over

The blue shirts will have 29/6 = 4 with 5 left over

The green shirts will have 34/6 = 5 with 4 left over

The left overs are 2 + 5 + 4 = 11 but I have divided the colors equally. If color does not matter then the total number of shirts = 32 + 29  + 34

The total number of shirts is 95

95/6 = 15 with a remainder of 5

So 5 shirts will be left over.

Answer:

every two seconds it does one full swing,meaning after 30 seconds. it will do 15 full swings.

Step-by-step explanation:

The 99% confidence interval for the population mean is (21.9392, 26.0608). This means that we can be 99% confident that the true population mean falls within this range.

Given that we have a simple random sample of 25 items from a population with a known standard deviation of 4, and a sample mean of 24, we can calculate the confidence interval for the population mean. With a 99% confidence level, the corresponding critical value (Zα/2) is 2.576.

The formula for the confidence interval is:

\(Confidence interval = sample mean \pm (Z_\alpha/2 \times (\sigma / \sqrt n))\)

Substituting the values, we have:

\(Confidence interval = 24 \pm (2.576 \times (4 / \sqrt25))\)

Simplifying further:

\(Confidence interval = 24 \pm (2.576 \times (4 / 5))\)

Calculating the values inside the parentheses:

\(Confidence interval = 24 \pm (2.576 \times 0.8)\)

Finally, we can compute the confidence interval:

\(Confidence interval = 24 \pm 2.0608\)

the 99% confidence interval for the population mean is (21.9392, 26.0608). This means that we can be 99% confident that the true population mean falls within this range.

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The largest possible error in the area of the circle is of 44%.

The area of a circle of radius r is given by:

\(A = \pi r^2\)

With a diameter of 20 cm = radius of 10 cm, the area in cm² is given by:

\(A = \pi \times 10^2 = 100\pi\)

With the error, with a diameter of 20 x 1.2 = 24 cm = radius of 12 cm, the area in cm² is given by:

\(A = \pi \times 12^2 = 144\pi\)

The error is given by:

\(E = 144\pi - 100\pi = 44\pi\)

The percent error is the error divided by the initial amount, multiplied by 100%, hence:

\(P = \frac{44\pi}{100\pi} \times 100\% = 44\%\)

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Answer:

-10.08

Step-by-step explanation:

Using order of operations:

\( - 17 + (\frac{ - 2.3 + 8.12}{6} ) \times {4}^{2} - 8.6\)

\( - 17 + \frac{5.82}{6} \times 16 - 8.6\)

\( - 17 + .97 \times 16 - 8.6\)

\( - 17 + 15.52 - 8.6\)

\( - 10.08\)

Answer:

less that is it have good day

This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.

This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.

A correlation is a measure of the linear relationship between two variables. A correlation of -0.68 indicates that there is a strong negative relationship between the two variables, meaning that as the level of optimism increases, the exam scores decrease.

This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.

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simplified 1/3 is the slope

The solution of the system of equations; \( y = \frac{1}{2}\cdot x - 1 \) and x = 4, represented on the graph is the point (4, 1)

The graphs are straight line graphs that can be represented with linear functions.

The points on the graph with blue line are; (2, 0), (0, -1)

The slope, m, is therefore;

m = (0 - (-1))/(2 - 0) = 0.5

From the point, (2, 0), we have;

y = 0.5•(x - 2) = 0.5•x - 1

y = 0.5•x - 1...(1)

\( y = \frac{1}{2}\cdot x - 1 \)

The equation of the graph that is constructed with red line is x = 4...(2)

The solution is given by equation (1) when x = 4 as follows;

The solution satisfies both lines, and it is the point of intersection. At the solution, therefore;

y = 0.5•x - 1 and x = 4

Which gives;

y = 0.5 × 4 - 1 = 1

At the solution, x = 4, and y = 1, which gives the point, (4, 1)

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Answer:

a) 80>3x+38

Step-by-step explanation:

Gigabyte cost + flat cost < $80

Flat cost = $38

x = number of gigabytes

$3 = money charged per gigabyte

Gigabyte cost = 3x

Answer:

3x + 38 < 80 OR 80 > 3x + 38

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

80 x 0.4

0.40 = 40% in decimal form, 1 = 100% if that helps.

The chance that Player 1 wins is 11/21, or approximately 0.524 or 52.4%.

To calculate the probability that Player 1 wins, we can consider the possible outcomes of the game.

Player 1 can win in two ways:

Player 1 draws a red marble on their first turn.

Player 1 and Player 2 both draw green marbles on their first turns, and then Player 1 draws a red marble on their second turn.

Let's calculate the probability of each scenario:

Probability of Player 1 drawing a red marble on the first turn:

Player 1 has 2 red marbles out of a total of 7 marbles (2 red + 5 green) initially in the jar. So the probability is 2/7.

Probability of both players drawing green marbles on their first turns, and Player 1 drawing a red marble on their second turn:

After Player 1's first turn, there are 6 marbles left in the jar (2 red + 4 green). The probability of Player 1 drawing a red marble on their second turn is 2/6.

To calculate the overall probability of Player 1 winning, we add the probabilities of the two scenarios:

P(Player 1 wins) = P(Player 1 draws a red marble on the first turn) + P(both draw green, and Player 1 draws red on second turn)

= 2/7 + (5/7) * (2/6)

= 2/7 + 10/42

= 2/7 + 5/21

= (6 + 5)/21

= 11/21

Therefore, the chance that Player 1 wins is 11/21, or approximately 0.524 or 52.4%.

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Answer:15216.31 Fluid Ounces

Step-by-step explanation:

Answer:

Step-by-step explanation:

nth term means an expression which allows us to find the term that is in the nth position in the sequence.

Hope this helps

plz mark as brainliest!!!!!!!!!

x² −20x+100

Explanation

You have to factor the expression in order to get your answer.

Do this by expanding out the expression: (x-10)(x-10).

Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get x² multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: x² −10x−10x+100 . Then combine like terms.

here.