Which table represents a linear function?

Answer:

SAS, because vertical angles are congruent.

The angle of elevation from the stake up to the tent pole is, 54.55°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

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t= is the variable, number of hours

Hours can't be negative.

So the domain is all positive integers.

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Good evening,

Answer: x > 5

Step-by-step explanation:

-2(x+3)+5x>9

-2x-6+5x>9

3x-6>9

3x>9+6

3x>15

x>5

The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).

Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)

Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.

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Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.

To determine how much can be spent each year while ensuring the funds last forever, we can use the concept of a perpetuity. A perpetuity is a series of equal payments that continues indefinitely.

The amount that can be spent each year from an endowment can be calculated using the following formula:

Annual Spending = Endowment Amount * Return Rate

In this case, Samantha has decided to donate $501,000 to the university, and the endowment is expected to earn a return of 9%.

Annual Spending = $501,000 * 0.09

Annual Spending = $45,090

Therefore, Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.

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SSE (Sum of Square Error) tells us how much of the dependent variation the model does not explain.

SSE is a measure that quantifies the difference between the observed values and the predicted values from a statistical model. It represents the sum of the squared differences between the actual values of the dependent variable and the predicted values by the model.

The SSE reflects the unexplained or residual variation in the data, meaning it represents the portion of the dependent variable's variability that is not accounted for by the model. In other words, it measures how well the model fits the data and captures the extent to which the model represents and explains the observed data. A lower SSE value indicates a better fit of the model to the data, as it implies that the model explains a larger proportion of the dependent variable's variation.

Therefore, option "O how much of the dependent variation the model does not explain" is the correct statement that describes what SSE tells us. It provides a measure of the unexplained variation in the data and serves as a basis for assessing the model's goodness of fit.

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Answer:

The y-intercept is -1

The slope is -4 so you will go down 4 and over 1 to the right.

The line is negative

So it will be pointing Northwest and Southeast \ that way.

Step-by-step explanation:

Did you understand this??

Answer:

120

Step-by-step explanation:

(x,y)⇒(x+5,y+10) is the translation rule for A'B, which is a translation of AB.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be thought of as adding a constant vector to each point or changing the coordinate system's origin. A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation in mathematics moves a form left, right, up, or down but does not turn it. The translated (or picture) shapes appear to have the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Here,

A translation is a sort of transformation in which every point in a figure moves the same distance in the same direction. Slides are another term for translations. A translation can be described with words like "moved up 3 and over 5 to the left" or using notation.

The translation rule for A'B is a translation of AB is (x,y)⇒(x+5,y+10).

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Answer:

HERES THE ANSWER

Step-by-step explanation:

0 = 5.00

5 = 11.25

8 = 15.00

10 = 17.50

30 = 42.50

also to understand it easier. # 1.25 times (whatever number), then take whatever that equals and add it to 5.00 ! (works for any question, just substitute the numbers)

To create a table for the values when x is given value, you can put those value in given function and can calculate what does y evaluates to.

The corresponding values of y are:

\(\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right\)

Values of y for values of x as x = 0, 5, 8, 10, 30

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=0}\\ y = 1.25 \times 0 + 5\\ y = \$5\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=5}\\ y = 1.25 \times 5 + 5\\ y = \$11.25\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=8}\\ y = 1.25 \times 8 + 5\\ y = \$15\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=10}\\ y = 1.25 \times 10 + 5\\ y = \$17.5\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=30}\\ y = 1.25 \times 30 + 5\\ y = \$42.5\\ \\ \)

Thus, the corresponding values are:

\(\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right\)

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Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:

1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon

Multiplying both sides by the denominator on the right side gives:

x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon

Simplifying the right side gives:

x + 1 = 42 ounces

Subtracting 1 from both sides gives:

x = 41 ounces

Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.

In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.

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To solve the equation 9k - 7 = 21 - 3k, we can begin by simplifying the equation through combining like terms. The solution to the equation 9k - 7 = 21 - 3k is k = 7/3.

Adding 3k to both sides, we get:

9k - 7 + 3k = 21 - 3k + 3k

Simplifying further:

12k - 7 = 21

Next, we can isolate the variable k by adding 7 to both sides:

12k - 7 + 7 = 21 + 7

Simplifying:

12k = 28

Finally, to solve for k, we divide both sides of the equation by 12:

(12k)/12 = 28/12

Simplifying:

k = 7/3

Therefore, the solution to the equation 9k - 7 = 21 - 3k is k = 7/3.

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An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

8x-3

Step-by-step explanation:

Because i got it correct I had the same question and i picked 8x-3

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Answer: B,D

Explanation:

B is x(1.25)

D is x*9/8

I hope this helped!

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Step-by-step explanation:

a) 3/4x < x

b) 5/4x > x

c) 7/8x < x

d) 9/8x > x

b and c are greater than x

Answer: 30 mph

Step-by-step explanation: Divide 158,400 by 5280(the amount of feet in a mile) to get your answer.

The statement "90% of dentists recommend sugarless gum for their patients who chew gum" is a conditional probability statement.

A conditional probability statement expresses the likelihood of an event (in this case, dentists recommending sugarless gum) given that a specific condition is satisfied (patients who chew gum). The statement indicates that among the dentists surveyed, 90% of them recommend sugarless gum specifically for patients who chew gum.

In this case, the condition is that the patients chew gum. The probability of dentists recommending sugarless gum is stated to be 90% under this condition. It implies that if a patient chews gum, there is a 90% chance that their dentist would recommend sugarless gum.

Conditional probability statements are useful in understanding the likelihood of events based on certain conditions or circumstances. They allow us to assess the probability of an outcome given that a specific condition is met, providing valuable information in various fields, including healthcare and decision-making.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

It could be or 70 or 78

Step-by-step explanation:

Answer:

there the same they are both 84

Step-by-step explanation:

The answer is A, square root of 29

Answer: 392 meters

Step-by-step explanation:

We will set up a proportion to help us solve.

         \(\displaystyle \frac{112 \;\;meters}{x \;\;meters\;\; shadow} = \frac{1 \;meter}{3.5 \;\;meters \;\;shadow}\)

Next, we will cross-multiply:

         1 * x = 112 * 3.5

         x = 392 meters

The shadow will be 392 meters long.

Answer:

Its c

Step-by-step explanation:

If you add all of the amounts of paint that he has you will get 1 1/30

Hope this Helps!!!

Answer:

4000m

1k =1000m

Step-by-step explanation:

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

According to the task content;

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

Hence, The solution is 5, which represents the number of miles she runs each day.

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Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape