(8p
2 − 5 p
4 − 2p
3) + (4p
3 + 2 p
2 − 2p
4)

Answer:

Would it be 1?

Step-by-step explanation:

I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..

Answer:

5ft

Step-by-step explanation:

Volume = length x width x height

5 x 3 x h = 75

15h = 75

h = 5

Answer:

D, 35

Step-by-step explanation:

7b, if b=5, is the same as 7(5), or 7*5, which equals 35.

Answer:

35

Step-by-step explanation:

7B = 5+5+5+5+5+5+5 which equals 35

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Answer:

x=2; y=1

Step-by-step explanation:

Since the triangle is equilateral, which means three sides have the same length.

So we have：4x-y=2x+3y=7

\(4x-y=2x+3y\\4x-y+y=2x+3y+y\\4x=2x+4y\\2x=4y\\x=2y\\\)

Since 2x+3y=7 and plug in x=2y

we have

\(2x+3y=7\\2(2y)+3y=7\\4y+3y=7\\7y=7\\y=1\)

and since y=1

x=2

Answer: 14

Step-by-step explanation:

1. Harry has 25/25 sweets

2. Nadia takes 11/25 sweets

3. Your left with 14/25

Answer:

C

Step-by-step explanation:

In this problem

Looking at the graph

The domain is all real numbers greater than or equal to -3 and less than -1

therefore

The domain is the interval

The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

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The corresponding table entry for l would be:

l = 36t
l = 36(12)
l = 432

If Paula invests her money for 12 years, she would earn $432 in interest.

The equation given, l = 36t, represents the amount of interest (l) earned by Paula on her investment for a given amount of time (t) in years. When she chooses t = 12, we can substitute this value into the equation to find the corresponding table entry for l.

l = 36t

l = 36(12)

l = 432

Which means that if Paula invests her money for 12 years, she would earn $432 in interest. This information can be added to her table to help her keep track of her potential earnings based on different investment periods.

The equation l = 36t is a linear function with a constant rate of change of 36, meaning that for each additional year of investment, Paula can expect to earn an additional $36 in interest.

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

the power series representation of f(x) = x / (6x^2 + 1) centered at x = 0 is:

f(x) = x + 6x^3 + 18x^5 + 108x^7 + ...

To find a power series representation for the function f(x) = x / (6x^2 + 1) centered at x = 0, we can use the concept of geometric series.

First, let's rewrite the denominator as 6x^2 + 1 = 1 + 6x^2.

Now, we can rewrite the function as:

f(x) = x / (1 + 6x^2).

To represent this function as a power series, we need to find a geometric series that matches the form (1 + r)^n, where r is a constant.

Let's rewrite the function as follows:

f(x) = x * (1 + 6x^2)^(-1).

Now, we can use the geometric series formula:

(1 + r)^n = 1 + nr + (n(n-1)/2!) r^2 + (n(n-1)(n-2)/3!) r^3 + ...

Substituting r = -6x^2 and n = -1, we have:

(1 + (-6x^2))^(-1) = 1 + (-1)(-6x^2) + ((-1)(-2)/2!) (-6x^2)^2 + ((-1)(-2)(-3)/3!) (-6x^2)^3 + ...

Simplifying:

(1 - 6x^2)^(-1) = 1 + 6x^2 + (1/2)(6x^2)^2 + (1/6)(6x^2)^3 + ...

We can rewrite this as:

(1 - 6x^2)^(-1) = 1 + 6x^2 + 18x^4 + 108x^6 + ...

Now, we can multiply both sides by x to obtain the power series representation of f(x):

x / (1 + 6x^2) = x (1 - 6x^2)^(-1) = x (1 + 6x^2 + 18x^4 + 108x^6 + ...)

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False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

5yards

Step-by-step explanation:

Area of the parallelogram = Base * Height

Given

Area = (5x+20)yd²

Base = (x+4)yd

Required

height

Substitute into the formula

5x+20 = x+4 * Height

Height = 5x+20/x+4

Height = 5(x+4)/x+4

X+4 cancels out to have;

Height = 5

Hence the height of the parallelogram is 5yards

Answer:

The answer is F(x) = x

Answer:

the answer is A F(x) = x

Step-by-step explanation:

happy to help!!

Answer:

Yes

Step-by-step explanation:

Yes

The parametric equations for the line through the point p = (-4, 4, 3) that is perpendicular to the plane 2x + y + 0z = 1 are:

The equation of the plane is given by 2x + y = 1Therefore, the normal vector of the plane is N = [2,1,0]A line that is perpendicular to the plane must be parallel to the normal vector, so its direction vector is d = [2,1,0].To find the parametric equations of the line, we need a point on the line. We are given the point p = (-4,4,3), so we can use that.

The parametric equations are:x = -4 + 2t, y = 4 + t, z = 3The point (x,y,z) will lie on the line if there exists some value of t that makes the equations true.At what point q does this line intersect the yz-plane?The yz-plane is given by the equation x = 0, so we substitute this into the parametric equations for x, y, and z to get:0 = -4 + 2tSolving for t, we get t = 2. Substituting this into the equations for y and z, we get:y = 4 + 2 = 6, z = 3So the point of intersection q is (0,6,3).

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Answer:

i think its 1.

Step-by-step explanation:

f(x)=‐3x+3

-3. -3

-3=-3x

divide by -3

1=x

When the value of the variable = 2 the value of  W = 3.When the value of one quantity increases with respect to decrease in other or vice-versa, then they are said to be inversely proportional. It means that the two quantities behave opposite in nature. For example, speed and time are in inverse proportion with each other. As you increase the speed, the time is reduced.

In the problem it's given that "y varies inversely as x," and "when x = 6, then y = 4."

We need to find y when x = 7, we can use the formula for inverse variation:

y = k/x  where k is the constant of variation.

To find the value of k, we can plug in the given values of x and y:

4 = k/6

Solving for k:

k = 24

Now, we can plug in k and the value of x = 7 to find y:

y = 24/7

Answer: y = 24/7

Function for the inverse variation between W and square of 2 can be written as follows,

W = k/(2)^2 = k/4

It is given that when 12 = 3, W = 3,

So k/4 = 3

k = 12

Now, we need to find W when variable = 2,

Thus,

W = k/4

W = 12/4

W = 3

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

Maybe 32

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

i hope this helps you out!!

brainliest greatly appreciated

Answer:

1 7/9

Step-by-step explanation:

Answer:

x = -2 y = -7

x = -1 y = -4

x = 0 y = -1

x = 1 y = 2

x = 0 y = 5

Also, I am sorry that it took so long for someone to answer.

Hope that this helps!

Answer:

the answer would be B which is how the audience interacts wit the blog

Step-by-step explanation:

this is the answer :D

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = \(\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100\)

Percentage of people satisfied  = \(\frac{880}{2200}\)  x 100  = 40%

A confidence interval is a range of plausible values for the population parameter with a level of confidence attached.

In frequency statistics, a confidence interval is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used.

Confidence intervals are defined as the range of values ​​that you would expect to observe in a sample and find a value that accurately reflects the population.

Confidence intervals are a way of expressing how "good" an estimate is. The larger the 90% confidence interval for a particular estimate, the more cautious it should be used. Confidence intervals are an important reminder of the limits of an estimate.

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Answer:

true

Step-by-step explanation:

its like a bar graph but joint. theres no space between two consecutive bars

60 kg in pounds is 132.2772.

Therefore the answer is 132.2772.

60 kg is a measure of weight in the metric system. To convert it to pounds, we can use the conversion factor of 1 kilogram equals 2.20462 pounds.

To convert 60 kg to pounds, we can multiply the weight in kilograms by the conversion factor:

60 kg x 2.20462 lb/kg = 132.2772 pounds

Therefore, 60 kg is equivalent to 132.2772 pounds.

It is important to be able to convert between different units of measurement, particularly when dealing with measurements from different countries or regions. By using conversion factors and keeping track of units, we can ensure accurate measurements and avoid confusion in different contexts.

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the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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