what is my height in a triangle

The number of many different outfits Sophia has to choose from should be 16.

What is arithmetic?

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Here, we have

Given: Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.

She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.

So here the number of distinct outfits should be like

= 2 × 4 × 2

= 16

Hence, the number of many different outfits Sophia has to choose from should be 16.

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Answer:16

Step-by-step explanation:Total outcomes

=

Total outcomes=

2‾

pants

×

2‾

t-shirts

×

4‾

shoes

pants

2

​

​

×

t-shirts

2

​

​

×

shoes

4

​

​

Fundamental counting principle

=

=

16

The value of the function f(a + 1) - f(a) is 2a - 2

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

In the given problem;

f(x) = x² - 3x

f(a + 1) - f(a) = ?

f(a + 1) = a² - a - 2

f(a) = a² - 3a

f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)

f(a + 1) - f(a) = 2a - 2

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Answer:because

Step-by-step explanation:a

Answer: 0.56

Step-by-step explanation:

Option A. TRUE. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.

The Intermediate Value Theorem is a fundamental theorem in mathematics that states that, for any given continuous function on an interval, every value between the minimum and maximum values of the function on the interval must be taken by the function at some point within the interval. This theorem states that, given a function f defined on an interval [a, b], if f(a) and f(b) have different signs (i.e. one is positive and the other is negative), then there exists at least one c in the interval (a, b) such that f(c) = 0. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.

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The volume of the water in the water cooler when it is completely full is 82.21 gallons.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.

Given that the height of a cylinder is 3.5 feet. The diameter of the cylinder is 2 feet.

The radius of the cylinder is half of the diameter.

The radius of the cylinder is 2/2 = 1 foot.

The volume of a cylinder is πr²h.

r = radius, h = height

The volume of the cylinder is

π×1²×3.5

= 3.14 × 3.5

= 10.99 cubic foot

= 10.99 × 7.48 gallons

= 82.205 gallons

= 82.21 gallons

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Answer:

It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.

Step-by-step explanation:

Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%

The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.

To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.

Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.

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The side which corresponds to QS is VU, and the scale factor is 2.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given that, the figure on the right is a scaled copy of the figure on the left.

We need to find the corresponding side of QS and scale factor,

The figure is 90° counterclockwise rotated,

Therefore,

The corresponding sides are:

PR ~ TW

RQ ~ VT

QS ~ UV
PS ~ WU

∵ the measure of QS = 4 units and the measure of UV = 2 units

∴ scale factor = 4/2 = 2

Hence, the side which corresponds to QS is VU, and the scale factor is 2.

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The question do not contain figure, the similar question is solved.

The value of x is given as follows:

x = 130º.

To obtain the value of x, we must consider the exterior angle theorem, which states that each interior angle is supplementary with it's interior angle, meaning that the sum of their measures is of 180º.

As the interior angle is of 50º, the measure of the exterior angle x is given as follows:

x = 180 - 50

x = 130º.

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Answer:

Check below

Step-by-step explanation:

Number of tiger shark teeth = 6

Number of sand shark teeth = 8

    Number of tiger shark teeth : Number of sand shark teeth

                                    6                :                8

∴ 6 : 8 ratio representation

Answer:

6:8

Step-by-step explanation:

The temperature at midnight would be -4°C - 8°C since the temperature at noon was -4°C and at midnight it dropped 8°C.

The temperature at midnight would be -4°C minus 8°C, which can be expressed as:

-4°C - 8°C = -12°C

Therefore, the temperature at midnight would be -12°C.

Temperature is a measure of the degree of hotness or coldness of a body or an environment. It is a physical quantity that expresses the amount of thermal energy in a substance or a system, typically measured using a thermometer in units such as Celsius (°C) or Fahrenheit (°F). In general, the higher the temperature, the more thermal energy is present in the system, and the lower the temperature, the less thermal energy is present.

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The type of sampling that Huw is using is called Convenience Sampling.

Explanation:

Convenience sampling is a non-probability sampling technique where the sample is selected based on ease of access and availability. In Huw's case, he is administering the questionnaire to people who happen to be in the town centre, which is convenient for him. The sample is not selected randomly, and therefore does not accurately represent the population as a whole. Convenience sampling is often used in quick, informal surveys where the researcher does not have the resources or time to conduct a more rigorous, randomized sampling method.

Answer:

p + (m × 1) = t

If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:

(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)

Therefore, the equation you can use is p + (m × 1) = t.

Answer:

A van can carry 18 students; a bus can carry 41 students.

Step-by-step explanation:

Let v = capacity of van.

Let b = capacity of bus.

School A:

3v + 12b = 546

School B:

13v + 6b = 480

Our system of equation is:

3v + 12b = 546

13v + 6b = 480

      3v + 12b = 546

+  -26v - 12b = -960

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

    -23v         = -414

v = 18

3v + 12b = 546

3(18) + 12b = 546

54 + 12b = 546

12b = 492

b = 41

Answer: A van can carry 18 students; a bus can carry 41 students.

The expression used to calculate the sale price is given as follows:

S(p) = 0.65p.

The expression used to calculate the sale price is obtained applying the proportions in the context of the problem.

The price was 35% off, meaning that there was a discount of 35%, meaning that a percentage of 100 - 35 = 65% of the total price was paid, hence the expression used to calculate the sale price is given as follows:

S(p) = 0.65p.

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Answer:  Choice D

Explanation:

The notation [tex]-\infty < \text{x} < \infty[/tex] says x is anything between negative infinity and positive infinity. Basically x is any real number. This is because the curve stretches forever to the left and right. Any number can be the x input.

She has to be at the airport at least 100 minutes before the flight. She must arrive at the airport at least two hours and 120 minutes before the flight.

Which ensures that she has time to check in, go through security and passport control, and board the flight. the amount f time a passenger needs to arrive before the flight can vary depending on the airline and airport. Generally, most airlines recommend that passengers arrive at the airport at least two hours before domestic flights and three hours before international flights.

In order it gives the passenger enough time to get to the airport depending on the location and traffic, check in and drop off any luggage, go through security and passport control, then at last board the flight

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Answer: 28 (look at the image for the solution)

Step-by-step explanation:

Answer:

A = base x height

A = 7 x 4

A = 28

Have a wonderful day! :-)

The mean would be 35 feet.

The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.

what is Mean?

In arithmetic, mean is the sum of all the added values of all the data in a set divided by the number of data in the set.

To find the mean of the distances, we need to calculate the sum of all the distances and divide by the total number of distances:

(20+25+25+31+33+34+41+41+45+50+56+67) / 12 = 425 / 12 = 35.42

Rounding to one decimal place, we get the mean distance of approximately 3.5 feet.

However, it's worth noting that the stem-and-leaf plot shows some variability in the distances, with some throws going as far as 6.7 feet and some as short as 2 feet.

So while the mean can provide us with a measure of central tendency, it doesn't tell the whole story about the distribution of the distances.

Therefore, The mean would be 35 feet. The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.

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Answer:

Point (-3, 3) is not a solution to the system of equations

2y+x=3

y=x+0

Step-by-step explanation:

2y + x = 3

y = x + 0

2(3) + (-3) = 3

6 - 3 = 3

3 = 3

The point works in the first equation.

3 = -3 + 0

3 = -3

The point does not work in the second equation.

The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.

To find the length of each piece, we can use the following equation:

Length of each piece = Total length of the ribbon / Number of pieces

In mathematical terms, we can represent this equation as:

L = R / N

Where,

L is the length of each piece

R is the total length of the ribbon (66 feet in this case)

N is the number of pieces (44 in this case)

In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.

Using this equation, we can easily find the length of each piece:

L = 66 / 44

L = 1.5 feet

Therefore, each piece of the ribbon is 1.5 feet long.

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After unit conversion of 24 in./s into ft/min the value will be 120

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

A rate = 24 in./s

The value of rate in ft./min. = ?

It is known that,

1 feet = 12 inches

And 1 minute = 60 second

So,

1 inches = 1/12 feet

1 second  = 1/60 minute

⇒ 24 in./s

⇒  24 ((1/12)ft / (1/60)sec)

⇒ 24 × 60/12

⇒ 24 x 5

⇒ 120

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The average speed of Paul Revere's horse, assuming he rode straight to Lexington without stopping, would have been approximately 25.4 miles per hour.

To find the average speed of Paul Revere's horse, we can use the formula:

average speed = total distance / total time

In this case, the total distance is 11 miles, and the total time is 26 minutes, or 0.4333 hours (since there are 60 minutes in an hour).

So, the average speed of Paul Revere's horse would be:

average speed = 11 miles / 0.4333 hours

average speed ≈ 25.4 miles per hour

Therefore, the average speed of Paul Revere's horse, to the nearest tenth of a mile per hour, would have been 25.4 miles per hour.

Using the formula for average speed, we can calculate that Paul Revere's horse would have had to travel at an average speed of approximately 25.4 miles per hour to cover the 11-mile distance in 26 minutes. This assumes that he rode straight through without stopping.

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The complete question is:

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

The population of the city has decreased by 15%.

Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).

To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:

322,000 - 273,700 = 48,300

This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:

(48,300 / 322,000) x 100 = 15%

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Larger than for the Purdue sample because the sample size is smaller. Therefore, the option A is the correct answer.

Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.

Given sample size = 500

Total outcomes = 37,000

The margin of error in a 95% confidence

The margin of error is given by

Margin of error (statistic) = Critical value x Standard error of the sample.

So, according to the given condition margin of  error in a 95% confidence is same as for the Purdue sample because both are samples of size 500, because it depends on sample size.

Therefore, the option A is the correct answer.

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Answer:

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.

Step-by-step explanation:

For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.

For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.

For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.

For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.

For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.

For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.

For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.

For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.

Equating the mathematical expressions, for the total costs of both companies to be the same, Jayden and Ramon must buy about 7 shirts.

A mathematical expression consists of the combination of variables, values, constants, and numbers using mathematical operands.

A mathematical expression is not the same as an equation, which states that two mathematical expressions are equal.

                              Designs n More   Custom Creations

Design Fee                       $10                        $0

Variable cost per shirt    $7.50                   $9.00

Let the number of shirts = x

Designs n More's total costs = 10 + 7.5x ... Expression 1

Custom Creations' total costs = 9x ... Expression 2

For the total costs of both companies to be the same, the two expressions for their total costs will be equal:

10 + 7.5x = 9x

10 = 1.5x

x ≈ 7

Thus, approximately, 7 shirts need to be bought for the total costs to be the same.

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How many shirts will make the two companies' total costs the same?