This question has two parts. First, answer Part A. Then, answer Part B. Part A BRAKING DISTANCE From the time a driver sees the need to apply the brake to the point at which the car stops completely is known as the total stopping distance. The total stopping distance d can be modeled by the equation d = 0.0515r ^ 2 + 1.1r where is the speed in miles per hourGraph the function. Interpret the key features of the graph in terms of the quantities Select the graph that models this equation.

F = ma is \(a=\frac{F}{m}\)

The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma

F = ma

F= force

m= mass

a= acceleration

\(F = ma\)

Divide both sides by the mass

\(a=\frac{F}{m}\)

F = ma is \(a=\frac{F}{m}\)

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1. A person should choose one family pizza.

2. The area of two medium pizza < area of 1 large pizza.

3. The area of two medium pizza is 1413.8 square cm and the area of one large pizza is 1661.9 square cm.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

I would one family pizza.

I would choose one family because the total area of two medium pizzas is less than the area of a family pizza.

This means that the two medium pizzas will have less pizza to share between the same number of people, so everyone will get a smaller slice of pizza.

To calculate the areas of the pizzas, we need to use the formula for the area of a circle -

Area of a circle = π × (radius)²

For the family pizza with a diameter of 46 cm, the radius is 23 cm. Therefore, the area of the family pizza is -

Area of family pizza = π × (23 cm)² ≈ 1661.9 square cm

For two medium pizzas with a diameter of 30 cm, the radius is 15 cm. Therefore, the area of each medium pizza is -

Area of each medium pizza = π × (15 cm)² ≈ 706.9 square cm

The total area of two medium pizzas is -

Total area of two medium pizzas = 2 × (Area of each medium pizza) ≈ 1413.8 square cm

Since the total area of two medium pizzas is less than the area of the family pizza, it means that two medium pizzas have less pizza to share between the same number of people.

Therefore, choosing one family pizza would be a better option.

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A family pizza or two medium?

* Each medium pizza is 30 cm in diameter

* The family pizza has only a diameter of 46 cm

1. What do you choose?

2. Why?

3. Please conclude your facts

Answer:

4 and 5 are coefficients the rest are terms

Step-by-step explanation:

coefficients are the numbers not the letters

Answer:

Step-by-step explanation:

The terms are the elements of the sum:

  5b, 8c, 4p

The coefficients are the constant multipliers:

  5, 8, 4

___

In your list of items to "drag and drop", you have ...

Coefficient: 4, 5

Term: 4p, 5b, 8c

Answer:

\(\huge\boxed{\text{(D)} \ 120 \textdegree}\)

Step-by-step explanation:

We can use basic angle relationships to find m∠1.

We know that the 130° angle and m∠D are supplementary. This means their angle measures add up to 180°. Since we know one, we can find m∠D by subtracting it from 180.

\(180-130=50\)

So m∠D is 50°.

We also know that all angles in a triangle add up to 180°. Since we know two out of the three, we can add the two and subtract from 180.

\(70+50=120\\\\180-120=60\)

So m∠2 = 60°.

Again, m∠2 and m∠1 are supplementary. Since we know 1, we can find m∠1 by subtracting from 180.

\(180-60=120\)

So m∠1 is 120°.

Hope this helped!

========================================================

Explanation:

Let y be the measure of the interior angle adjacent to the 130 degree exterior angle

y+130 = 180

y = 180-130

y = 50

Interior angle D is 50 degrees.

It adds to angle C getting 50+70 = 120, which is the measure of angle 1 due to the remote interior angle theorem.

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

We can see it if we let angle 2 be x

B+C+D = 180 ... interior angles of a triangle add to 180

x+70+50 = 180

x+120 = 180

x = 180-120

x = 60

angle B = 60

To find angle 1, we subtract this from 180, since

(angle1)+(angle2) = 180

(angle1)+(60) = 180

angle1 = 180-60

angle1 = 120

This leads to the same result as before.

Answer:

she went to the bathroom in another place because the bathroom there was no blacks in there

Step-by-step explanation:

Answer:

Katherine had to go to the restroom. However, the bathroom in the building she was in was whites-only she had to walk half a mile every day. Besides that, she would go home to her mother and kids.

Step-by-step explanation:

Have a good day! :)

To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

Agency A:  y = 12x

So Agency A pays a rate of $12 per hour

Agency B:  y = 10x + 20

So Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Step-by-step explanation:

Agency A

To create a straight line equation for the data in table, use  \(y = mx + b\), where m is the slope and b is the y-intercept.

To find the slope m, take 2 points from the table and use the slope formula.

Let \((x_1,y_1)\) = (3, 36)

Let \((x_2,y_2)\) = (5, 60)

Slope formula: \(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12\)

Now use the point-slope formula to create the final equation:

\(y-y_1=m(x-x_1)\)

\(\implies y-36=12(x-3)\)

\(\implies y=12x\)

Therefore, Agency A pays a rate of $12 per hour.

Agency B

From inspection, the function is a straight line.

Therefore we can use the straight line equation \(y = mx + b\),

where m is the slope and b is the y-intercept.

From inspection, we can see that the line crosses the y-axis at (0,20).  Therefore, the y-intercept is 20.

\(\implies y=mx+20\)

Taking 2 points on the line and using the slope formula to find the slope m:

Let \((x_1,y_1)\) = (0, 20)

Let \((x_2,y_2)\) = (3, 50)

Slope formula: \(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10\)

Therefore, the final equation is:  \(y=10x+20\)

Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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Answer: 20

Step-by-step explanation:

*This is a supplementary Angle (adds up to 180 degrees)

5x+12+68=180

5x+80=180

*subtract 80 on both sides

5x=100

*divide both sides by 5

x=20

Answer:

D. y+1=3(x+1)

Answer:

x ≤14

Step-by-step explanation:

Answer:

\(a(2ab - b - 1)\)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

\(gcf = a\)

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

\(a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} \)

3) Simplify each term in parentheses.

\(a(2ab - b - 1)\)

Answer:

c

Step-by-step explanation:

Im so sorry its 24.2 length times width times height divided by 3

Step-by-step explanation:

Answer:

When you multiply a number by a fraction, the number always decreases. When you multiply a number by 1/2, it's always half of the original number

Step-by-step explanation:

For example, take 4 x 1/2. It can be written as four halves. What do we get when we add four halves together?

1/2 + 1/2 + 1/2 + 1/2 = 2!

2 is less than 4. It is also half of the number four

Answer: Line m is parallel to line n

========================================================

Explanation:

Let's use the given x value to compute the measure of angle 1

angle 1 = 19x - 10

angle 1 = 19*8 - 10

angle 1 = 152 - 10

angle 1 = 142 degrees

Do the same for angle 3

angle 3 = 15x + 22

angle 3 = 15*8 + 22

angle 3 = 120 + 22

angle 3 = 142 degrees

Since both angles are 142 degrees, this means lines m and n are parallel by the converse of the corresponding angle theorem.

The converse says that if you have congruent corresponding angles, then this leads directly to parallel lines as indicated in the diagram.

Angles 1 and 3 correspond together because they are in the upper left, or northwest, corner of each four corner angle configuration.

The given inequality is 2x - 3y > 12. Let us find the region in the Cartesian plane that satisfies the inequality. We need to find the points that lie above the line represented by the equation 2x - 3y = 12, which means the points that do not lie on the line. Let us graph the line 2x - 3y = 12 by finding the intercepts and plotting them.2x - 3y = 12When x = 0,2(0) - 3y = 12-3y = 12y = -4When y = 0,2x - 3(0) = 12x = 6

The intercepts are (0, -4) and (6, 0).Plotting the intercepts and drawing the line through them, we get the line as: Graph of 2x - 3y = 12The region satisfying the inequality 2x - 3y > 12 is the region above the line 2x - 3y = 12 and does not include the line. The boundary line is dashed, since it is not part of the solution set.

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Step-by-step explanation:

P(-1,1), Q(2,3), R(2,1)

Let P(-1,1)be x1and y1

Q(2,3)be x2 and y2

therefore, by distance formula

d(PQ)= root (x2-x1)^2+(y2-y1)^2

= root[ 2-(-1)] + (3-1)

=root (2+1)^2+2^2

= root (3square +2square )

= root 9+4

d( PQ) = root 13.........(1)

Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle

2nd also do the same.

Answer:

70

Step-by-step explanation:

Answer:

∠T=70°

Step-by-step explanation:

360-110+(2×90)=70°

∠T=70°

Answer:

Yes it does

Step-by-step explanation:

(125/35)=(25/7)

((125/5)/(35/5))=(25/7)

(25/7)=(25/7)

Need to ensure there is enough, but not too much, data One review identified that samples of 20 and 30 were the most common with 25-30 being a typical recommendation.

Sampling means selecting the group that you will actually collect data from in your research.

Characteristics of Qualitative research and sample size:

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Answer:

\(\boxed {\tt b=24 \ centimeters}\)

Step-by-step explanation:

This is a right triangle, so we can use Pythagorean Theorem.

\(a^2+b^2=c^2\)

a and b are the legs, while c is the hypotenuse.

One leg is 10 centimeters. The hypotenuse is 26 centimeters. Therefore,

\(a= 10 \ cm \\c= 26 \ cm\)

\((10 \ cm )^2+b^2=(26 \ cm)^2\)

Solve the exponents.

\(100 \ cm^2+b^2=(26 \ cm)^2\)

\(100 \ cm^2+b^2=676 \ cm^2\)

Subtract 100 from both sides of the equation.

\(100 \ cm^2- 100 \ cm^2+b^2=676 \ cm^2- 100 \ cm^2\)

\(b^2=676 \ cm^2 - 100 \ cm^2\)

\(b^2= 576 \ cm^2\)

Take the square root of both sides of the equation.

\(\sqrt{b^2} =\sqrt{576 \ cm^2}\)

\(b=\sqrt{576 \ cm^2}\)

\(b= 24 \ cm\)

The other leg of the triangle is equal to 24 centimeters.

MBI's % profit on cost is 33.33%.

To calculate the % profit on cost, we need to determine the profit and divide it by the cost.

The selling price of each unit is $15.00, and 25% of this price is the profit margin, which is $15.00 * 25% = $3.75.

The cost per unit is the selling price minus the profit margin, which is $15.00 - $3.75 = $11.25.

The total cost for producing 15,000 units is $11.25 * 15,000 = $168,750.

The profit is the difference between the total revenue and the total cost, which is $15.00 * 15,000 - $168,750 = $81,250.

The % profit on cost is the profit divided by the cost, multiplied by 100: ($81,250 / $168,750) * 100 ≈ 48.15%.

Therefore, the correct answer is not provided in the given options. The closest option to the calculated result is 50%, but the actual % profit on cost is approximately 48.15%.

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Answer:

the height of the triangular pyramid is 2.25 inches.

Step-by-step explanation:

To find the height of the triangular pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × base area × height

where the base area is the area of the triangle and the height is the height of the pyramid.

We know that the volume of the wood is 18 cubic inches, so we can substitute the given values into the formula:

18 = (1/3) × (4 × 6) × h

Multiplying both sides by 3, we get:

54 = 24 × h

Dividing both sides by 24, we get:

h = 2.25

Therefore, the height of the triangular pyramid is 2.25 inches.

Answer: 6 in. x 10 in.

Step-by-step explanation:

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.

1. The scale of enlargement is 2 inches to 1 centimeter.

2. The actual length of the stamp = 3 centimeters

3. The length of frame =   2 x 3 = 6 inches

4. The actual width of the stamp = 5 centimeters

5. The width of frame =  2 x 5 = 10 inches

Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches

The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

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Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

The answer is (a) (30, 50). To find the 98% confidence limits,

We can use the formula:

\(98% confidence limits = sample mean ± (Z-score for 98% confidence level) * (standard error)\)

We don't know the sample mean or the standard error, but we do know the 90% confidence limits. We can use these to estimate the standard error:

Standard error = (90% confidence limits upper bound - 90% confidence limits lower bound) / (1.645 * 2)

Standard error = (47 - 33) / (1.645 * 2) = 4.73

Now we can use this to estimate the 98% confidence limits:

98% confidence limits = sample mean ± (2.33) * (4.73)

We know that the range of the 90% confidence limits is 14 (47 - 33). The range of the 98% confidence limits will be wider than this, so we can eliminate options b), c), and e).

Now we just need to check which of the remaining options gives us a range wider than 14. We can do this by subtracting the lower limit from the upper limit:

a) (30, 50) -> range = 20
d) (38, 45) -> range = 7

Therefore, the answer is (a) (30, 50).

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The probability that an Abu Dhabi resident selected at random has an iPhone 13 and is infected with the new virus can be calculated by multiplying the probabilities of owning an iPhone 13 (0.63) and being infected with the virus (0.046):

Probability = 0.63 * 0.046 = 0.02898

Rounded to four decimal places, the probability is approximately 0.0290.

Regarding the question about Latifa's university acceptances, the statement "Getting accepted at both universities is mutually exclusive but not independent events" is true. This means that it is not possible for Latifa to be accepted at both University A and University B simultaneously, but the acceptance decision of one university does not affect the probability of acceptance at the other university. The events are mutually exclusive because they cannot occur together, but they are not independent as the probability of one event affects the probability of the other event.

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Answer:

1 75/100 or 3/4

Step-by-step explanation:

if you simplify 1 75/100 its 3/4

Answer:

1 3/4

Step-by-step explanation:

Turn 3 1/2 into a mixed fraction which is 7/2 then do 1/2 x 7/2 which is 7/4. 7/4 simplified is 1 3/4