5 − 2x + 2 = 12
work below hurry!!

The total area of the composite shape is; 40 in²

We know that the area of the composite figure is equal to the area of a rectangle plus the area of a triangle

Find the area of the rectangle

A = bh

Area = 7 * 5

Area = 35 in²

Area of the triangle is;

Area = ¹/₂bh

Area = ¹/₂ * 5 * 2

Area = 5 in²

Total Area = 35 in² + 5 in²

Total Area = 40 in²

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Answer:

So it would take Yolanda 9 hours to drive 495 miles at the same rate.

Step-by-step explanation:

To solve this problem, we can use the formula: distance = rate x time.

We know that Yolanda's rate of driving is 605 miles in 11 hours, so we can find her average speed by dividing the distance by the time:

rate = distance / time

rate = 605 miles / 11 hours = 55 miles per hour

Now that we know Yolanda's average speed, we can use it to find the time it would take her to drive 495 miles at that rate:

time = distance / rate

time = 495 miles / 55 miles per hour = 9 hours

Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

The ribs are for sale at $3.50 per pound.

Bobby buys 5.5 pounds of ribs.

Then, the amount bobby spends on ribs will be:

5.5 * 3.50

$19.25

Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

1mil

Step-by-step explanation:

Step-by-step explanation:

Using zero product rule, we have -(x - 8)(x + 2) = 0.

Answer:

Go on You Tube and look up

Converting Exponential Equations to Logarithmic Equations - College Algebra Tips

Answer:

∠2 = 105°

Step-by-step explanation:

180° -75° = 105°

(a) The mean value of the current over the range t = 0 to t = 10 ms is 1/100.

(b) The RMS value of the current over the range t = 0 to t = 10 ms is sqrt(25 - (25/2n) * sin(2n)), where n = 100.

To find the mean value and root mean square (RMS) value of the current over the range t = 0 to t = 10 ms, we need to perform the necessary calculations using integral calculus.

The given current function is:

i = 50 sin(100nt)

(a) Mean value of the current:

The mean value of a function over an interval is given by the integral of the function divided by the length of the interval.

Mean value of current (I_mean) = (1 / T) * ∫[0, T] i dt

In this case, T = 10 ms = 0.01 seconds.

I_mean = (1 / 0.01) * ∫[0, 0.01] 50 sin(100nt) dt

= 100 * ∫[0, 0.01] sin(100nt) dt

= 100 * [-1/100n * cos(100nt)]|[0, 0.01]

= -cos(100n(0.01))/n + cos(100n(0))/n

= -cos(n) / n + cos(0) / n

= 1/n

Therefore, the mean value of the current is 1/n, where n = 100.

(b) RMS value of the current:

The RMS value of a function over an interval is the square root of the mean of the square of the function.

RMS value of current (I_rms) = sqrt((1 / T) * ∫[0, T] i^2 dt)

I_rms = sqrt((1 / 0.01) * ∫[0, 0.01] (50 sin(100nt))^2 dt)

= sqrt(5000 * ∫[0, 0.01] sin^2(100nt) dt)

= sqrt(5000 * (1/2) * ∫[0, 0.01] (1 - cos(200nt)) dt)

= sqrt(2500 * [t - (1/200n) * sin(200nt)]|[0, 0.01])

= sqrt(2500 * (0.01 - (1/200n) * sin(2n)))

= sqrt(25 - (25/2n) * sin(2n))

Therefore, the RMS value of the current is sqrt(25 - (25/2n) * sin(2n)), where n = 100.

Please note that in both cases, the values of n and T are substituted to reflect the specific range of t = 0 to t = 10 ms given in the problem statement.

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The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

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The only statement that we can conclude as true is: Line p must be drawn parallel to line m.

To determine which statement is true regarding line p, we need to analyze the given information about planes A and B.

If line p is parallel to line m, it means that line p does not intersect line m and maintains a constant distance from it at all points.

Now, let's consider the possibilities:

Line p must be drawn in plane B: The given information does not provide any indication or relationship between line p and the planes A and B. Therefore, we cannot conclude that line p must be drawn in plane B based on the given information.

Line p must be perpendicular to line m: Since line p is parallel to line m, it cannot be perpendicular to it. Therefore, we can conclude that line p is not perpendicular to line m.

Line p must be drawn so that it can lie in the same plane as line /: The given information does not provide any direct relationship between line p and line /. Therefore, we cannot conclude that line p must lie in the same plane as line /.

Line p must be drawn in the same plane as line n: The given information does not mention line n, so we cannot conclude that line p must be drawn in the same plane as line n.

The only statement that we can conclude as true is: Line p must be drawn parallel to line m.

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Answer:

square root 75

Step-by-step explanation:

khan

Using the normal distribution, the mean of T is of 30 seconds.

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

\(X \sim N(\mu, \sigma)\)

\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)

The mean of T is 10 seconds

A normal distribution has two parameters: Mean  and standard deviation .

The given parameters are the mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds.

For the total completion, there are 3 instances, hence ,n = 3(10)

Thus, the mean of T is of 30 seconds.

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The another term for the average value of a distribution is "mean."

The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.

However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.

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Answer:

I believe the slope is m = 0.

(Let me know if you need the work)

Hello!

To find the slope, we use the following formula:

m=\(\frac{y2-y1}{x2-x1} \\\frac{4-4}{7-5}\)

m=\(\frac{0}{2} \\0\)

Keep in mind that if the y-coordinates are the same, then the slope is 0.

That's because if the y-coordinates are the same, then the line is horizontal and the rise  (how many units we rise up) is 0 units.

Therefore, the slope is: 0.

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

\(SilentNature :-):-):-):-):-)\)

Simulation shows Luke's quiz score in 50 trials with a minimum passing score of 6. Probability of passing is about 0.1. Strong evidence that Luke understands some material as getting a score of 8 by guessing is highly unlikely.

Step 1: The teacher plans to give a multiple-choice test consisting of 10 questions with four answer options each. To conduct one trial of the simulation, a random number generator will be used. To pass the test, the student needs to answer at least six questions correctly. Since each question has four options, the probability of guessing the correct answer is one out of four. To simulate guessing, ten numbers will be generated between one and four, where one represents a correct answer and 2, 3, 4 represent incorrect answers.

Step 2: The dot plot provided illustrates the simulated quiz score of Luke through 50 trials. Each dot on the plot corresponds to a single trial. One dot, specifically the one located at 1, represents a simulated quiz score of one. This implies that in one of the simulation trials, Luke answered only one out of ten questions correctly.

Step 3: We must determine the likelihood of Luke passing the quiz, which contains 10 multiple-choice questions with four answer choices each, requiring a minimum of 6 correct answers to pass. In the dot plot depicting 50 trials of the simulation, the dots represent the quiz score, and 5 of the 50 trials resulted in a score of 6 or more. Thus, the probability of Luke passing the quiz is approximately 0.1 or 1/10.

Step 4: We need to determine whether there is sufficient evidence to support the claim that Doug has an understanding of some of the material.

Step 5: The dot plot displays the simulated quiz score over 50 trials when a person is guessing the answers to the questions. We can infer that it is highly improbable to obtain a quiz score of at least 8 by randomly guessing, as there are no dots above or to the right of 8 on the plot. This suggests that there is compelling evidence that the person understands some of the subject matter, as it is unlikely that they guessed correctly on all questions.

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The missing figure is in the image attached below

An earning function estimated by OLS using a country's Labour Force Survey data for one year will provide an estimate of how much an individual is expected to earn based on their demographic and socioeconomic characteristics.

The dataset contains information on 2,000 individuals. The researcher obtained the following results, which show the relationship between earnings and each variable in the model. The coefficients for each variable represent the change in earnings associated with a one-unit change in that variable, holding all other variables constant. The researcher can use these results to predict how much an individual is expected to earn based on their characteristics, and to identify which factors have the greatest impact on earnings. The researcher can also use these results to analyze trends in earnings over time, and to develop policies to improve earnings for certain groups of individuals.

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Answer:

24

Step-by-step explanation:

multiply 8 by 3

Answer:-7.5

Step-by-step explanation:

If we take out the negative and make it 24 ÷ 3.2, it would be 7.5 since 3.2 would go into 24 7.5 times. But since we changed it to figure it out, we have to change it back with the rule that "a negative x negative is a positive" meaning that the

24 ÷ 3.2 = 7.5

would change to

24 ÷ (-3.2) = -7.5 OR

Positive ÷ negative = negative

(And this goes with any operation)

Answer:

this is incorrect. 42% of 78 is actually 32.76

Answer:

please see the attached I put the answer

Step-by-step explanation:

you answer were correct but you change the sign one of them will be positive.

Answer:

\(\frac{\sqrt{13} }{7}\)

Hope this helps <3

Answer:

2

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer:

50 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangles are 19, 13, and 18

perimeter = 19 + 13 + 18

p = 50 units

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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Answer:

0=0 true for all x

Step-by-step explanation:

\(2x+3\left(x-1\right)=7x+1-2\left(x+2\right)\\\\\)

\(2x+3x-3=7x+1-2\left(x+2\right)\)

\(5x-3=5x-3\)

Hope this help ya

<3

Red

Answer: The independent variable is the days, and the dependent is the amount of sales.

Step-by-step explanation:

The days are independent because there is no way to change it, and it will always be. (like a schedule depends on time)

The sales are dependent because they rely on the days, especially because you can't sell things without there being time.