HELP ASAP PLEASE
Find the area of each figure.

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.

For the basic:

2x + y = 15.50    (1)

For medium:

2x + 2y + z = 37    (2)

For super:

4x + 3y + 2z = 72.50  (3)

\(\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =\)

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

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2, 3 are the common prime factors of 12 and 42.

The question is not complete as the scatter plot is missing.

Thus, I have attached the complete question showing the scatter plot.

Answer:

D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

Step-by-step explanation:

From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850

Where;

x is the high temperature in °F

y is the amount of fluid ounces sold

Let's try x = 0°F

Thus;

y = 0 + 850

y = 850 fluid ounces

Let's try x = 10°F

Thus;

y = -5.9(10) + 850

y = 850 - 59

y = 791

This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.

Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

a. The two binomials that are being multiplied in the algebra tiles above include the following: (2x + 3)(3x + 2).

b. The product shown by the algebra tiles include the following: 6x² + 13x + 6.

In Mathematics and Geometry, a factored form simply refers to a type of polynomial function that is typically written as the product of two (2) linear factors and a constant.

Part a.

By critically observing the base of this algebra tiles, we can logically deduce that it is composed of two x tiles and three 1 tiles. This ultimately implies that, the base represents (2x + 3).

The height of this algebra tiles is composed of three x tiles and two 1 tiles. This ultimately implies that, the base represents (3x + 2).

Part b.

Next, we would determine the product of the two binomials as follows;

(2x + 3)(3x + 2) = 6x² + 4x + 9x + 6

6x² + 4x + 9x + 6 = 6x² + 13x + 6.

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The y-intercept of (f − g)(x) is 8. Therefore, option C is the correct answer.

Given various values of the linear functions f (x) and g(x) in the table.

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

For the function f(x)

Here, (-6, 20) and (-4, 14)

Slope =(14-20)/(-4+6)

= -3

Substitute, m=-3 and (x, y)=(-6, 20) in y=mx+c, we get

20=-3(-6)+c

c=2

Substitute, m=-3 and c=2 in y=mx+c, we get

f(x)=-3x+2 --------(I)

For the function g(x)

Here, (-6, -36) and (-4, -26)

Slope =(-26+36)/(-4+6)

= 10/2 =5

Substitute, m=5 and (x, y)=(-6, -36) in y=mx+c, we get

-36=5(-6)+c

c=-6

Substitute, m=5 and c=-6 in y=mx+c, we get

g(x)=5x-6 --------(II)

Now, (f − g)(x)=-3x+2-(5x-6)

= -3x+2-5x+6

= -8x+8

Here, y-intercept is 8

The y-intercept of (f − g)(x) is 8. Therefore, option C is the correct answer.

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The equation of the line in slope-intercept form is: y = 5x + 3.

If the value of the slope of a line, m, is known, and the value of its y-intercept, b, is known, the equation of the line in slope-intercept form would be written as:

y = mx + b.

Given the following:

To write the equation of the line in slope-intercept form, substitute m = 5 and b = 3:

y = 5x + 3

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Question:

A line's slope is 5, and its y -intercept is 3. What is its equation in slope-intercept form?

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

(12y)x5

Step-by-step explanation:

Answer: (12y)x5

Step-by-step explanation:

12 and the put a variable than times 5

Answer:

she has 4 minutes per question

Step-by-step explanation:

60x3=180

180/45=4

Answer:

4

Step-by-step explanation:

60 min in an hour there are 3 so

60×3=180

since there are 45 questions dived by 45

180÷45=4

The simulation model predicts that Tudor Tech's average net income will be $122,891.20 with a 95% confidence interval of $56,445.60 to $199,336.80.

The simulation model was developed using the following steps:

Generate random values for net sales, cost of sales, selling expenses, administrative expenses, and interest expense.

Calculate gross profit, net operating profit, net income before taxes, and net income.

Repeat steps 1 and 2 10,000 times.

Calculate the descriptive statistics for net income.

Compute a 95% confidence interval for average net income.

The results of the simulation model are shown below:

Descriptive Statistics

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

Mean: $122,891.20

Median: $120,000.00

Mode: $115,000.00

Standard Deviation: $56,445.60

Variance: $315,392,960.00

The 95% confidence interval for average net income is shown below:

95% Confidence Interval

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

Lower Bound: $56,445.60

Upper Bound: $199,336.80

The simulation model suggests that Tudor Tech's net income is likely to be between $56,445.60 and $199,336.80. However, it is important to note that the simulation model is only a prediction and actual net income may be different.

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The answers to the function g(x) = - 2x + 5 in the table are 15, 11, 5, -1 and -5 respectively

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable

Using the rule  g(x) = - 2x + 5

When x = -5

g(x) = - 2(-5) + 5 = 15

when x = -3

g(x) = - 2(-3) + 5 = 11

when x = 0

g(x) = - 2(0) + 5 = 5

when x = 3

g(x) = - 2(3) + 5 = -1

when x 5

g(x) = - 2(5) + 5 = -5

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Answer:

2y^2-4y+2

Step-by-step explanation:

3y^2-4y+1-y^2+4-3

3y^2-y^2-4y+1+4-3

2y^2-4y+1+4-3

2y^2-4y+2

The required equation is y=90x-80 and slope is 90 and y intercept is -80.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the table we can observe that y represents the number of people abs x represents the number of minutes.

Let us find the equation by taking two points

(1,10) and (2, 100)

m=100-10/2-1=90

Now let us find the y intercept

10=90(1)+b

10=90+b

-80=b

The equation is y=90x-80

The slope is 90 and y intercept is -80.

Hence, equation is y=90x-80 and slope is 90 and y intercept is -80.

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The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

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

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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The volume of the solid that lies within both the cylinder is 4π/3

We can use cylindrical coordinates to solve this problem. In cylindrical coordinates, we have:

x = r cos θ

y = r sin θ

z = z

The equation of the cylinder is:

x^2 + y^2 = 4

Substituting in the expressions for x and y, we get:

r^2 cos^2 θ + r^2 sin^2 θ = 4

r^2 = 4

So the cylinder has radius 2 and height h.

The equation of the sphere is:

x^2 + y^2 + z^2 = 9

Substituting in the expressions for x and y, we get:

r^2 + z^2 = 9

So the sphere has radius 3.

To find the volume of the solid that lies within both the cylinder and the sphere, we need to integrate the function 1 over this region:

V = ∫∫∫ dV

In cylindrical coordinates, the volume element is:

dV = r dr dθ dz

The limits of integration are:

0 ≤ r ≤ 2

0 ≤ θ ≤ 2π

-√(9 - r^2) ≤ z ≤ √(9 - r^2)

So we have:

V = ∫∫∫ dV

V = ∫₀² ∫₀²π ∫_{-√(9 - r^2)}^{√(9 - r^2)} r dz dθ dr

V = ∫₀² ∫₀²π 2r√(9 - r^2) dθ dr

V = 2π ∫₀² r√(9 - r^2) dr

We can make the substitution u = 9 - r^2, du = -2r dr, and write:

V = -π ∫₉¹ √u du

V = -π [2/3 u^(3/2)]₉¹

V = -π [2/3 (9 - 1/3)]

V = 4π/3

So the volume of the solid that lies within both the cylinder and the sphere is 4π/3.

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Answer:

Step-by-step explanation:

area of parallelogram is A=bh

18.2=b*5.2

18.2/5.2=b

3.5=b

Answer:3.6cm

Step-by-step explanation:

1. area of a parallelogram=base length× height
18.72=l×5.2
18.72=5.2l

2. get l we divide each side by 5.2

18.72/5.2=5.2l/5.2

=3.6

Answer:

14 servings

Step-by-step explanation:

Step 1

We convert 7 pounds to ounces

0.0625 pound = 1 ounce

7 pounds = x

Cross Multiply

0.0625x = 7

x = 7/0.0625

x = 112 ounces

Step 2

The number of 8 ounce servings she can give to her dog is calculated as:

8 ounces = 1 serving

112 ounces = x servings

Cross Multiply

8 × x = 112 × 1

8x = 112

x = 112/8

x = 14 servings

Therefore, the number of 8 ounce servings she can feed her dog is 14

A statistical analysis is internally valid if option B is correct, meaning that the statistical inferences about causal effects are valid for the population studied. Internal validity refers to the accuracy of conclusions drawn from a study, specifically focusing on causal relationships within the population being analyzed.

Statistical analysis is a method of examining data to identify patterns and trends, which can help researchers make informed decisions. Regression is a technique used to determine the relationship between two or more variables, where one variable (the dependent variable) is affected by one or more other variables (independent variables).

The population refers to the entire group of individuals or objects being studied. In order to have internal validity, the statistical analysis must accurately represent the population's characteristics and the causal relationships between variables.

R² (option A) is a measure of how well the regression model fits the data but doesn't necessarily imply internal validity. Option C, t-statistics, is related to hypothesis testing and helps determine if a relationship between variables is statistically significant. However, having all t-statistics greater than |1.96| doesn't guarantee internal validity.

Lastly, option D states that the population is small (less than 2,000) and can be observed. While having a smaller population might make it easier to gather data, this does not guarantee internal validity.

In summary, internal validity is achieved when the statistical inferences about causal effects are valid for the population studied (option B). It ensures that the conclusions drawn from a study are accurate and represent the true relationships within the population.

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Answer:

I'm pretty sure all of these have 5, so only one doesn't fit in that category...

Answer:

Choose all sets that contain the number 5.

✅ Natural numbers

✅ Whole numbers

✅ Integers

✅ Rational numbers

❌ Irrational numbers

✅ Real numbers

Step-by-step explanation:

Judt did it on edg

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

Answer:

Step-by-step explanation:

\sqrt{11x+5}

11x+5

= 7 ( square both sides )

11x + 5 = 7² = 49 ( subtract 5 from both sides )

11x = 44 ( divide both sides by 11 )

x = 4

substitute x = 4 into the left side of the equation and if equal to the right side , then it is the solution.

\sqrt{11(4)+5}

11(4)+5

= \sqrt{44+5}

44+5

= \sqrt{49}

49

= 7 ← equals right side

then x = 4 is the solution

Answer: x =4, not extraneous.

Explanation:

\(\sqrt{11x + 5} = 7\), square all sides.

Because the square root is squared, it is reversed: \(11x+5 =7^{2}\)

(72 = 49)

Subtract 5 from all sides: 11x = 44

(49 - 5 = 44)

(11x is an unknown so we cannot subtract 5 from it)

To get rid of the unknown, divide 11 on all sides: x = 4

(11x ÷ 11 = 1, x is written as one) (44 ÷ 11 = 4)

x = 4

The solution is not extraneous.

Answer:

I believe the answer is C

Step-by-step explanation:

Hope this helps you out!

Answer:

Step-by-step explanation:

c

Answer:

D

Step-by-step explanation:

60% of 50 equals 30

30% of 50 equals 15

15% of 50 equals 7.5

7.5% of 50 equals 3.75

3.75% of 50 equals 1.875

His newest interest rate will be 2.75%

Discount points or mortgage points are prepaid interest. The purchase of each point generally lowers the interest rate on your mortgage by up to 0.25%. Most lenders provide the opportunity to purchase anywhere from a fraction of a point to three discount points.

Given here loan amount = $200,000 , initial interest rate = 3.5 % , one mortgage point = $2000  and he has $6000 . Now let  purchase of each point lowers the interest rate by 0.25% , then if he puts  $6000  toward mortgage points his interest rate would reduce by (0.25×3)% = 0.75% as  $6000 is equivalent to  purchasing 3 points.

Therefore, his new interest rate will be = 3.5% - 0,75%

                                                                = 2.75%

Hence, his newest interest rate will be 2.75%

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Answer:

There are 364,000 people in the Air Force.

Step-by-step explanation:

Percentages

The N% of a number M is calculated by:

\(\displaystyle \frac{N*M}{100}\)

For example, 15% of 280 is

\(\displaystyle \frac{15*280}{100}=42\)

We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.

Compute 26% of 1,400,000:

\(\displaystyle \frac{26*1,400,000}{100}=364,000\)

There are 364,000 people in the Air Force.

Answer:

d is it

Step-by-step explanation: