What is the surface area of a cylinder when the radius is 10?

Answer:

black

black

Step-by-step explanation:

Answer:

x = 2 and y = 3

Step-by-step explanation:

For us to have a parallelogram, the opposite sides must be equal in length

Thus, we have it that;

2y + 2 = y + 5

2y - y = 5-2

y = 3

To get the value of x

y + 4 = 2x + 3

Recall y = 3: substitute this value

3 + 4 = 2x + 3

3+ 4 - 3 = 2x

2x = 4

x = 4/2

x = 2

Answer:

Answer: People 18 and over are considered adults​

Because more than or equal to 18

Good Luck!

Answer:

O#4,  People 18 and over are considered adults​.

Step-by-step explanation:

Since there is a line under it, it means greater than or equal to.

Answer:

38°

Step-by-step explanation:

Complimentary angles add up to 90°, so simply subtract 52 from 90 and you have your answer! ^^

Answer:

-5 because it is negative

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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The probability that represents the likelihood of a single event occurring by itself is called marginal probability.

Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.

To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.

Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.

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The domain is; x ≥ 0

The range is; w(x) ≤ 4

The transformed function is given as:

w(x) = -\((3x^{\frac{1}{2} })\)

Rewriting the function, by applying the law of fractional exponents:

w(x) = -(√3)x - 4

The domain of a function is the set of all input values that make the function defined.

The function is undefined when the value of x under the root sign is less than zero because the square root of a negative number is complex.

Hence, the domain exists when x has a value greater than or equal to 0.

Therefore, the domain is; x ≥ 0

The range of a function is the set of all output values that makes the function defined.

Hence, the range exists when y is lesser than or equal to minus 4 because a value of y greater than -4, makes the function and domain undefined.

Therefore, the range is;

w(x) ≤ 4

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The type of variable that would best categorize a runner's time in a 100-meter race would be a continuous variable.

The continuous variable is a type of quantitative variable, meaning that it is a numerical measurement that provides a count or a description of a characteristic. The variable does not have to be a whole number or integer, but it can take any value within a particular range.

For instance, a continuous variable can measure time, length, weight, or temperature, among other measurements .The opposite of continuous variable is the discrete variable. Unlike the continuous variable, the discrete variable has a limited set of values that it can take, meaning that it is countable and has no fractional values. Examples of discrete variables are the number of people in a room, the number of red cars in a parking lot, and the number of textbooks in a library .In conclusion, the runner's time in a 100-meter race is best categorized as a continuous variable.

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Answer:

1.6

2.28

3.0

4. 4

5.19

6.145

7.19

8.6

9.19

10.42

Step-by-step explanation: didnt see The last one hope this helps

Answer:

What work are you referring to

The maximum monthly profit Mt. Nittany is  $23,100 and, for Happy Valley Rentals,  monthly profits will be approximately $23,100.

(a) To find the number of apartments Mt. Nittany should rent out each month to maximize profits, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900.

The x-coordinate of the vertex is given by -b/2a, where a = -7 and b = 980. So, x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

(b) Similarly, for Happy Valley Rentals, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900 when they manage 50 apartments.

The x-coordinate of the vertex is again given by

b/2a, where a = -7 and b = 980, but now we have x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

Therefore, both companies should rent out 70 apartments each month to maximize their profits, and their maximum monthly profits will be approximately $23,100.

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Answer:

3 pizzas

Step-by-step explanation:

First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30

We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.

For each pizza, we can add 10 slices, as there are 10 slices of pizza.

For the first pizza, we have 10 slices

For the second, we have 10+10 = 20 slices

For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!

Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.

That the equation of the line is y = 7x - 50.

The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).

In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.

Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).

Simplifying, we find that the equation of the line is y = 7x - 50.

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It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.

Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.

Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.

Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.

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It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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The algebraic expression is simplified to 13. Option A

These are expressions that are made up of terms, variables, constants and coefficients.

They are also made up of arithmetic operations like subtraction, division, multiplication, bracket, and parentheses.

The square root of a number is defined as the factor that when multiplied by itself gives the original number.

The symbol for square root is '√'. The square root of a number is the opposite of squaring a number.

From the information given, we have that;

√169

Now, let's determine the square root

13

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Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Answer:

x < 6

Step-by-step explanation:

1. 3x+2x = 5x

2. 5x - 8 < 22

3. 22+ 8 =30

4. 5x < 30

5. 30/5 = 6

6. x < 6

Step-by-step explanation:

3x-8<-2x+22

3x+2x< 22+8

5x<30

Divide both sides by 5

x=30

The length of w is 251.8 cm, to the nearest 10th of a centimeter.

Length is a measure of one dimension of a physical object or space. It is typically taken to mean the longest dimension of an object, though it can also refer to the overall size of a two-dimensional object or shape, such as a rectangle. Length is generally measured in units such as meters, feet, or inches. Length is an important concept in many fields, such as geometry, physics, engineering, and architecture. It is also used to calculate distances between two points in space.

The formula to calculate the length of w is as follows: w=√(x2 +V2-2xVcosm/V). Substituting the given values, we get w=√(2602 + 802-2(260)(80)cos80°). Simplifying this expression, we get w=251.8 cm. So, the length of w is 251.8 cm, to the nearest 10th of a centimeter.

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The estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

To design a simulation using a random number generator to estimate the probability that Kelly double faults on her next serve, we can follow these steps:

1. Determine the probability of Kelly double faulting on her first serve:
  - Given that her first serve percentage is 40%, the probability of Kelly landing her first serve "in" is 0.40.
  - Therefore, the probability of Kelly double faulting on her first serve is the complement of 0.40, which is 1 - 0.40 = 0.60.

2. Determine the probability of Kelly double faulting on her second serve:
  - Given that her second serve percentage is 70%, the probability of Kelly landing her second serve "in" is 0.70.
  - Therefore, the probability of Kelly double faulting on her second serve is the complement of 0.70, which is 1 - 0.70 = 0.30.

3. Use a random number generator to simulate the serve:
  - A random number generator can be used to generate a random number between 0 and 1.
  - If the generated random number is less than or equal to 0.60, it represents Kelly double faulting on her first serve.
  - If the generated random number is greater than 0.60 but less than or equal to 0.90, it represents Kelly double faulting on her second serve.
  - If the generated random number is greater than 0.90, it represents Kelly successfully landing her serve "in".

4. Repeat the simulation multiple times:
  - By repeating the simulation multiple times, we can obtain an average probability of Kelly double faulting on her next serve.

For example, if we repeat the simulation 1000 times, and Kelly double faults on her first serve in 600 instances and on her second serve in 300 instances, the estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

Remember, this is just an estimation based on the provided percentages and random number generation. The actual probability may vary in real-life situations.

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Answer:

B. 80, -160

Step-by-step explanation:

The common ratio between these three numbers is -2.

-10 * -2 = 20

20 * - 2 = -40

-40 * -2 = 80

80 * -2 =  -160

Answer:

commutative

Step-by-step explanation:

im pretty sure this is correct but sorry if im wrong

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 12

Hypotenuse c = 13

Step 2: Solve for x

Answer:Three functions that are bounded above are y = x^2, y = x^3, y = e^x.

y = x^2 is a parabola that opens upward and has a vertex at the origin (0,0). As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = x^3 is a cubic function that also opens upward. As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = e^x is the exponential function where e is Euler's number (approximately 2.718). As x increases, y will increase towards positive infinity, so the function is bounded above by positive infinity.

Step-by-step explanation: