Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-4y = x - 18

Without the specific values of f(x) and f'(x) at x = 4, we cannot calculate the exact value of ∫40xf′(x)dx. ∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx

= x[f(x)]|₀⁴ - ∫f(x)dx       = 4f(4) - 8.

To find the value of ∫40xf′(x)dx, we can use integration by parts. The formula for integration by parts is:

∫u dv = uv - ∫v du,

where u and v are functions of x.

Let's apply this formula to the integral in question, where u = x and dv = f'(x)dx:

∫40xf′(x)dx = x∫f′(x)dx - ∫(∫f′(x)dx) dx.

The second term on the right side of the equation can be simplified as follows:

∫(∫f′(x)dx) dx = ∫f(x)dx.

Now, we can rewrite the integral as:

∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx.

Since f(x) is given in the table, we can calculate ∫f(x)dx by integrating the values of f(x) over the interval [0, 4].

∫f(x)dx = ∫40f(x)dx = 8.

Therefore, the value of ∫40xf′(x)dx can be expressed as:

∫40xf′(x)dx = x∫f′(x)dx - ∫f(x)dx

= x[f(x)]|₀⁴ - ∫f(x)dx

= 4f(4) - 8.

To determine the value of ∫40xf′(x)dx, we need the value of f(4), which is not provided in the question. Without knowing the specific values of f(x) and f'(x) at x = 4, we cannot calculate the exact value of ∫40xf′(x)dx.

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Answer:

The ≤ is supposed to be ≥, which will make the answer correct... [Correct answer is: y is greater than or equal to 2x - 4]

Step-by-step explanation:

As shown in attachment

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

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

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

B on edge

Step-by-step explanation:

The arrow is counterclockwise so its positive. The person above had the right idea but on edge is B.

Also I took the test and got 100% have a great day :D

Answer:

The answer is B

Explanation:

The arrow is counterclockwise so its positive.

By dividing the annual percentage rate (APR) by the number of billing cycles per year, the periodic interest rate = 73.89%

The periodic interest rate is the interest rate that is applied to your credit card balance on a periodic basis, usually on a monthly or daily basis. It is calculated by dividing the annual percentage rate (APR) by the number of billing cycles in a year.

The periodic interest rate would be calculated as follows:

Periodic interest rate = APR / number of billing cycles per year

Periodic interest rate = APR / number of billing cycles per year

Since the billing cycle is 31 days long, there are approximately 12/31 = 0.387096774 billing cycles per year. Therefore, the periodic interest rate would be:

Periodic interest rate = 28.53% / 0.387096774 = 73.89%

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Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5\(x^{5} + 1\)

x + 1 = 0

x = -1

f(-1) = 5*\((-1)^{5} + 1\)

      = 5 * (-1) + 1

      = -5 +1

      = -4

Answer: Infinite Solutions.

Step-by-step explanation:

We will transform both equations into slope-intercept form.

       Equation M: 3y = 3x + 6 ➜ y = x + 2

       Equation P: y = x + 2

The two given equations are the same, meaning there are infinite solutions. We can also see this when we graph these two equations, see attached. It's hard to show as they overlap infinitely, but I did my best.

Answer:

composite numbers are numbers that can be divided by other numbers and itself.

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

x/4 + x/3

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

x/2

Multiply by the common denominator, 12

12(x/4 + x/3)

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

12 *x/2

Distribute

3x + 4x

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

6x

7x

----

6x

Simplify

7/6

Answer:

b)   \( \blue{\dfrac{7}{6}} \)

Step-by-step explanation:

\( \dfrac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}} = \)

\( = \dfrac{\frac{3x}{12} + \frac{4x}{12}}{\frac{x}{2}} \)

\( = \dfrac{\frac{7x}{12}}{\frac{x}{2}} \)

\( = \dfrac{7x}{12} \times \dfrac{2}{x} \)

\( = \dfrac{7x \times 2}{12 \times x} \)

\( = \blue{\dfrac{7}{6}} \)

Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

USING PYTHAGORAS therorem

Tanθ = opposite/adjacent

The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

Answer:

Where is that question you're talking about please

Answer:

slope=-1,

Step-by-step explanation:

first you have to find the slope of the original question

2x+2y=-8

2y= -8 -2x

y= -4-x

slope = -1

to find the perpendicular slope you flip it and multiply by -1

-1 -> -1 *-1 -> 1

Answer:

slope=1/3

Step-by-step explanation:

2y=−6x+8

Step 1: Divide both sides by 2.

2y/2= -6x+8/2

y=-3x+4

perpenducalr is the oppiste

of parralle so -3x becomes 1/3x.

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

2, 3, 6

Step-by-step explanation:

Answer:

C, E, F,

Step-by-step explanation:

They all equal 4x^2+16x+16

Answer:

09

Step-by-step explanation:

34

Answer:

the answer is true

false

true

Answer:

False

True

False

I'm not trying to be mean but the other person is wrong I hope this helped you tho :)

Answer:

A

Step-by-step explanation:

To find the slope of a line, we can use the slope formula:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

So, we will need to choose two points from the graph. Any two points will work.

Let’s choose (0, -1) and (1, 2).

So, we will let (0, -1) be (x₁, y₁) and (1, 2) be (x₂, y₂). Substitute these values into the slope formula:

\(\displaystyle m=\frac{2-(-1)}{1-0}\)

Evaluate:

\(\displaystyle m=\frac{3}{1}=3\)

Therefore, the slope of the line is 3.

Hence, our answer is A.

a)  f is a bijection between the set of balanced strings in \(T^6\) and the set of strings in\(T^5.\) b) the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

Let x ∈ T6 be a balanced string. We define the function f : T6 → T5 by removing the last digit of x. That is, f(x) is the string obtained from x by deleting the sixth digit. It is clear that f(x) is a string in T5.

To show that f is a bijection, we need to show that it is both injective and surjective.

Injective: Suppose f(x) = f(y) for some x, y ∈ T6. Then x and y differ only in their last digit. Since the sum of the digits of x and y are both multiples of 3, their last digits must be congruent modulo 3. But the only way for two digits in T to be congruent modulo 3 is if they are the same. Therefore, x and y are identical except for their last digit, so x = y, and f is injective.

Surjective: Let y ∈ T5 be an arbitrary string. We define x ∈ T6 by adding a digit to the end of y such that the sum of the digits of x is a multiple of 3. We can always find such a digit, since adding any digit from T will either leave the sum unchanged or change it by 1 modulo 3. Therefore, f(x) = y, and f is surjective.

Since f is both injective and surjective, it is a bijection.

b) To count the number of balanced strings in T6, we note that there are three cases to consider: the sum of the digits is 0 mod 3, 1 mod 3, or 2 mod 3.

Case 1: The sum is 0 mod 3. In this case, we must choose six digits from {0, 1, 2} such that their sum is a multiple of 3. We can choose any combination of digits from {0, 1, 2} except for all 0's or all 2's. There are 3^6 - 2 = 727 cases in this case.

Case 2: The sum is 1 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 2 mod 3, and then add a sixth digit that is 2 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Case 3: The sum is 2 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 1 mod 3, and then add a sixth digit that is 1 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Therefore, the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

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The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Answer/Step-by-step explanation:

(5 x 10) + ( 5 x -15) or 5 x (10 + -15)

5 x 10 = 50

5 x -15 = -75

50 + -75 = -25

Answer:

-25

Step-by-step explanation:

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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Answer A becouse:

x-=20

y=55

y-35=2(x-10)

y=2x-20+35=40-20+35=55

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Range of a function is a set of y-values (output values) for the given set of input values.

7). Domain → (-∞, ∞)

    Range → (-∞, ∞)

8). Domain → (-∞, ∞)

    Range → [-2, ∞)

9). Domain → [-2, 2]

    Range → [-3, 3]

10). Domain → (-∞, ∞)

    Range → [-1, 1]

The correct answer is option g. Median. The median is the value that separates the higher half from the lower half of a dataset.

It is defined as the middle value of a set of numbers when the set is arranged in numerical order. If the set has an odd number of values, the median is the middle value. If the set has an even number of values, the median is the average of the two middle values. The median is a useful measure of central tendency because it is not influenced by outliers and extreme values, unlike the mean. It is also a robust statistic, meaning that it is relatively stable in the face of small changes in the data.

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