I need help with 11, 13, and 15 please

Answer:

Answer: x=20-3

Step-by-step explanation:

-50,-3,0,5,16,81

:)THIS IS THE ANSWER

Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer:

95

Step-by-step explanation:

14 + (42 + 7) + 32

14 + 49 + 32

63 + 32

95

Answer:

95

Step-by-step explanation:

Let's use BEDMAS to solve this (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

1. Calculate the brackets.

42 + 7 = 49

2. Add 14 + 49 + 32

14 + 49 + 32 = 95

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

Have a great summer :)

The total cost for the truck rental will be $495.75

The cost of the truck rental can be calculated using the formula:

Cost = Daily rate + Per mile rate * Total miles

where:

Daily rate = $39.95 per day

Per mile rate = 64 cents per mile = $0.64 per mile

Total days = 5 days

Total miles = 460 miles

Substituting the values in the formula, we get:

Cost = $39.95 * 5 + $0.64 * 460

Cost = $199.75 + $296

Cost = $495.75

Therefore, the total cost for the truck rental will be $495.75.

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The total cost for the truck rental will be $495.75

The cost of the truck rental can be calculated using the formula:

Cost = Daily rate + Per mile rate * Total miles

where:

Daily rate = $39.95 per day

Per mile rate = 64 cents per mile = $0.64 per mile

Total days = 5 days

Total miles = 460 miles

Substituting the values in the formula, we get:

Cost = $39.95 * 5 + $0.64 * 460

Cost = $199.75 + $296

Cost = $495.75

Therefore, the total cost for the truck rental will be $495.75.

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Answer:

its c

Step-by-step explanation:

Given:

\(0.5(4x-8)+11=0.25(12x+20)-5\)

To find:

The value of x.

Solution:

We have,

\(0.5(4x-8)+11=0.25(12x+20)-5\)

Using distributive property, we get

\(0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5\)

\(2x-4+11=3x+5-5\)

\(2x+7=3x\)

Subtract 2x from both sides.

\(7=3x-2x\)

\(7=x\)

Therefore, the value of x is 7.

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

exterior angles add up to 180

formula=180/number of sides (this only works for regular polygons)

180/3=60

Answer:

Solution given:

Since all side of a triangle is equal so it is a equilateral triangle.

we know that,

each angle of a triangle is 60°

now

∡DAC=∡BCA being alternate angle

Step-by-step explanation:

F(x) = {x < 4 : -(2x - 8) , x ≥ 4 : 2x - 8}

Answer:

x = 0 or x = 3

Step-by-step explanation:

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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The number of ordered quadruplets of non-negative integers that satisfy the given condition is:
|A| - |B| = 161,700 - 16,215 = 145,485

To solve this problem, we need to use the Principle of Inclusion-Exclusion (PIE). Let A be the set of all quadruplets (a1,a2,a3,a4) of non-negative integers that satisfy the equation a1+a2+a3+a4=100, and let B be the set of all quadruplets where all four integers are odd. Then the number of quadruplets that satisfy the given condition is given by:
|A| - |B|
To find |A|, we can use stars and bars. If we consider 100 stars and 3 bars, we can partition the stars into 4 groups, corresponding to the four integers. There will be 99 gaps between the stars and bars, and we need to choose 3 of them to place the bars. This gives us:
|A| = (99 choose 3) = 161,700
To find |B|, we can use a similar approach. If all four integers are odd, then they must be of the form 2k+1, where k is a non-negative integer. Substituting this into the equation a1+a2+a3+a4=100, we get:
2k1 + 1 + 2k2 + 1 + 2k3 + 1 + 2k4 + 1 = 100
Simplifying this equation, we get:
k1 + k2 + k3 + k4 = 48
This is now an equation in non-negative integers, which we can solve using stars and bars. We need to partition 48 stars into 4 groups, and there will be 3 bars separating them. This gives us:
|B| = (47 choose 3) = 16,215.

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Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

a) The equation can be written as

\(y = 5 + 2x\)

where \(y\) is the fare, \(x\) is the miles driven and 5 is the fixed fare.

b) \(x = 150 \text{ miles}\)

\(\therefore y = 5+(2 \times 150)\)

\(\imples y = \$ 305\)

Therefore, To travel 150 miles the taxi service costs $305.

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The real eigenvalues and their algebraic multiplicities for the matrices in Exercises 1 through 13 are as follows: [Exercise 1: λ = 6 + √7 (multiplicity 1), λ = 6 - √7 (multiplicity 1)], [Exercise 2: No real eigenvalues], [Exercise 3: When k ≠ ±2, two distinct real eigenvalues; when k = ±2, no real eigenvalues].

To find the real eigenvalues and their algebraic multiplicities for the given matrix:

```

[5  -4  2  -1]

```

We need to find the eigenvalues by solving the characteristic equation:

```

|5 - λ  -4     2  -1 |

|                  |  = 0

|-4    5 - λ -1    2 |

```

Expanding the determinant, we get:

```

(5 - λ) * ((5 - λ) * 2 - (-4) * (-1)) - (-4) * (-1) * (-4 - (-1)) = 0

```

Simplifying further:

```

(5 - λ) * (10 - 2λ + 4) - 12 = 0

(5 - λ) * (14 - 2λ) - 12 = 0

14(5 - λ) - 2λ(5 - λ) - 12 = 0

70 - 14λ - 10λ + 2λ^2 - 12 = 0

2λ^2 - 24λ + 58 = 0

```

Now, we solve this quadratic equation for λ:

```

λ = (-(-24) ± sqrt((-24)^2 - 4 * 2 * 58)) / (2 * 2)

λ = (24 ± sqrt(576 - 464)) / 4

λ = (24 ± sqrt(112)) / 4

λ = (24 ± 4√7) / 4

λ = 6 ± √7

```

Therefore, the real eigenvalues are λ = 6 + √7 and λ = 6 - √7, each with an algebraic multiplicity of 1.

To find the real eigenvalues and their algebraic multiplicities for the given matrix:

[0  1  0]

[0  0  1]

[1  0  0]

We need to find the eigenvalues by solving the characteristic equation:

```

| -λ  1   0  |

|  0  -λ  1  |  = 0

|  1   0  -λ |

```

Expanding the determinant, we get:

```

(-λ) * (-λ * (-λ) - 1 * 1) + 1 * (1 * (-λ) - 1 * (-λ * (-λ))) = 0

λ^3 + 1 = 0

```

This equation has no real solutions. Therefore, there are no real eigenvalues for this matrix.

For the matrix:

```

[1  k  1  1]

```

To find the values of k that result in two distinct real eigenvalues, we need to determine when the discriminant of the characteristic equation is positive.

The characteristic equation is:

```

|1 - λ  k    1  1 |

|                 |  = 0

|k    1 - λ  1  1 |

```

Expanding the determinant, we get:

```

(1 - λ) * ((1 - λ) - k * 1) - k * (1 - λ - 1) = 0

(1 - λ) * (1 - λ - k) - k * (-λ) = 0

(1 - λ)^2 - (1 - λ)k + kλ = 0

```

Expanding further:

```

1 -

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Answer:

No.

Step-by-step explanation:

No, Bob is not correct.

The formula he's using is the following:

\(A=\frac{1}{2} ab\sin(C)\)

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.

Answer:

area of parallelogram =base×height

132in²=16.5in×height

132in²/16.5in=height

8 in=height

Answer: Hi Duck

Step-by-step explanation:

-0.1

Explanation:

-3/3(a+c[b+5]-[-6+a])

-3/3(1-4[-6+5]-[-6+1])

-3/3(1-4[-1]-[-5])

-3/3(1 + 4 + 5)

-3/3(10)

-3/30

-0.1

Hope this helps!

a. The students mistakes in the synthetic division was inserting at the left corner instead of -1, which is the zero of the divisor, along with missing the coefficient 0 of x.

b. The quotient is of x² - 4x + 4 and the remainder is of zero.

c. Yes, x + 1 is a factor of the polynomial.

d. The fully factored form of the polynomial is: (x + 1)(x - 2)².

The dividend in this problem is given by:

x³ - 3x² + 4x.

Hence the coefficients are:

1, -3, 0 and 4.

This is the first mistake, in which the student missed the coefficient zero of x.

The divisor is given by:

x + 1.

Hence the left-term of the synthetic division is of:

-1, as x + 1 = 0 -> x = -1.

Which is the second mistake of the student.

Then the algorithm runs as follows:

From the image at the end of the answer, we have that the result is obtained as follows:

Since the remainder is of zero, x + 1 is a factor of the polynomial x³ - 3x² + 4, using the Remainder Theorem.

The quotient is factored as follows:

x² - 4x + 4 = (x - 2)².

Hence the fully factored form of the polynomial is of:

(x + 1)(x - 2)².

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Answer:

y = 10x + 422

Step-by-step explanation:

Answer:

Annika is 15 years old and Rohan is 7 years old.

Answer:

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

If two figures are similar, the ratio of their corresponding sides is same.

Set up an equation and solve for x:

The height of figure 1 is 4x:

Answer:

4

Step-by-step explanation:

I got a 100% on the test, also the person above me is right. :)

Answer:

Step-by-step explanation:

As per equation, the initial amount is:

Sample amount left after 50 years:

Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer: 0

Step-by-step explanation:

Use the following formula:

\(\frac{y2 - y1}{x2 - x1}\)

Plug in the coordinates:

\(\frac{3-3}{4-2}\) = 0

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

To determine the optimal production quantity of tables and the maximum profit, we can set up a linear programming problem based on the given information.

Let's define the decision variables:

Let C represent the number of chairs produced.

Let T represent the number of tables produced.

Objective function:

The objective is to maximize profit. The profit for each chair is $150, and the profit for each table is $750. Therefore, the objective function can be expressed as:

Profit = 150C + 750T

Constraints:

Labor constraint: The total labor hours available is 240, and each chair requires 5 hours, while each table requires 3 hours. So the labor constraint can be represented as:

5C + 3T ≤ 240

Material constraint: The warehouse has 700 linear feet of rich mahogany available, and each chair requires 4 linear feet, while each table requires 20 linear feet. Therefore, the material constraint can be expressed as:

4C + 20T ≤ 700

Non-negativity constraint: Since we cannot produce a negative quantity of chairs or tables, both C and T should be greater than or equal to zero:

C ≥ 0

T ≥ 0

Now, we can solve the linear programming problem to find the optimal solution:

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

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