2x + 16 + 5x - 17
Measuring Segments ​

answer:-2/-4

hope its right and help u

the parametric equations of the line are:

x = 5y - z + 4

y = t

z = t,

where t ∈ ℝ.

We are given a point on the line (-5, 4, 3) and a plane equation -x + 5y + z = 4. We know that the line is perpendicular to the given plane, so the direction vector of the line must be normal to the plane's normal vector. Let's find the normal vector of the plane first.

The equation of the plane, -x + 5y + z = 4, implies that (a, b, c) = (-1, 5, 1) is the normal vector of the plane.

Now, let's write down the equation of the line in vector form. Let's call the direction vector of the line D, and let P be the point we're given on the line. The equation is D · (r - P) = 0, where "." denotes the dot product.

Using the information given in the question, we have the point P = (-5, 4, 3) and the normal vector of the line D = (-1, 5, 1). Therefore, the equation of the line is given by:

-1(x - (-5)) + 5(y - 4) + 1(z - 3) = 0

Simplifying, we have:

-x + 5y + z - 4 = 0

Now, let's express the equation in terms of parametric equations:

We can express x in terms of y and z: x = 5y - z + 4

Then, the parametric equations of the line are:

x = 5y - z + 4

y = t

z = t,

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Answer:

That the number of miles is going to be less than 15

Step-by-step explanation:

If you wanted to solve the inequality then the answer would be x<12

Can you please give me brainliest

Answer:

-4.66667 (the 6. is repeating)

Answer:

158ft squared

Step-by-step explanation:

Front: 40

Back : 40

Right side : 15

Left side : 15

Top : 24

Bottom : 24

Total : 158ft squared

Hope this helps!

The surface area of the rectangular prism 158 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.

The rectangular prism will have six faces. The surface area will be calculated as:-

Surface area = 2 ( 3x5) + 2 ( 8x3) + 2(8x5)

Surface area = 30 + 48 + 80 = 158 square meters

Therefore the surface area of the rectangular prism is 158 square feet.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The scalar value is 164. The scalar value of 4(u · v), where u = 2i - j and v = 4i + j, is -2.

Let's calculate the scalar value of (4u) · v. First, we need to find the product of 4u and v.

Given u = 5i - j and v = 41 + j, we can calculate 4u as 20i - 4j. Multiplying this by v, we have (20i - 4j) · (41 + j). Expanding this expression, we get 820i - 164j +\(20i^2 - 4j^2.\)

Simplifying further, we know that i^2 = -1 and j^2 = -1, so the expression becomes 820i - 164j + 20(-1) - 4(-1). This simplifies to 840i - 160j - 16.

Now, to find the scalar value, we calculate (4u) · v by multiplying the coefficients of i and j: 4 × 840 - 160 = 3360 - 160 = 3200. Therefore, the scalar value of (4u) · v is 3200.

Moving on to the next part, we have u = 2i - j and v = 4i + j. The scalar value of u · v is obtained by taking the dot product of the coefficients of i and j: 2 × 4 + (-1) × 1 = 8 - 1 = 7.

Finally, multiplying this scalar value by 4 gives us 4(u · v) = 4 × 7 = 28. Thus, the scalar value of 4(u · v) is 28.

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The eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

An eigenvector is a non-zero vector that, when multiplied by a matrix, results in a scalar multiple of itself. In other words, if A is a square matrix and v is an eigenvector of A, then Av = λv, where λ is the eigenvalue associated with v.

Given the eigenvalues and eigenvectors for matrix A as λ1 = 2, v1 = [-5 1]ᵀ and λ2 = 6, v2 = [5 4]ᵀ, we can say that:

- Av1 = λ1v1 = 2[-5 1]ᵀ = [-10 2]ᵀ
- Av2 = λ2v2 = 6[5 4]ᵀ = [30 24]ᵀ

Therefore, the eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

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Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

Answer:

x=34

Step-by-step explanation:

36+40= 76

180-110=70

76+70=146

180-146=34

vertical angles are equivalent so x=34

Answer:

608x

Step-by-step explanation:

2(34x) + 5(92x) + 81x

68x + 460x + 81x (distributive property)

608x

One of the given options, it is closest to option D (0.984) To find the net change in velocity from time t=0.75 to t=2.25 for an object moving in a straight line with acceleration given by a(t) = sin(t), we need to integrate the acceleration function with respect to time.

First, integrate a(t) = sin(t) with respect to t:

∫(sin(t) dt) = -cos(t) + C, where C is the constant of integration.

To find the net change in velocity, we will evaluate the integral at t=2.25 and t=0.75, and then subtract the values:

Net change in velocity = (-cos(2.25) + C) - (-cos(0.75) + C)

Since the constant of integration cancels out, the net change in velocity is:

Net change in velocity = -cos(2.25) + cos(0.75)

Using a calculator to find the cosine values:

Net change in velocity ≈ -(-0.628) + 0.259 ≈ 0.887

While this answer isn't exactly one of the given options, it is closest to option D (0.984). It is possible that there is a slight discrepancy in the calculations or a typo in the options.

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Answer:

4th option

Step-by-step explanation:

let the number be n , then

the product of 4 and n = 4n

The equation is

4n - 16 = 22

Answer:

Step-by-step explanation:

Answer:

 y = 2x-5

Step-by-step explanation:

Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A reference line is given:  y=2x+3.  It has a slope of 2.  Parallel lines have the same slope, so the line we are looking for will also have a slope of 3.  We can therefore wrtite what we know sio far.  The new line will be:

                 y = 2x+b

Any vale of b will produce a line that is parallel to the referenc elien.  But we need a line that goes through a given point of (3,1).  By choosingf the correct value of b, we can force the line therough this point.  The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:

y = 2x+b

1 = 2*(3)+b  for (3,1)

b = -5

The equation of a line parallel to y=2x+3 and going through point (3,1) is:

   y = 2x-5

See attached graph.

Answer: n = 13

Step-by-step explanation:

To find n, you can look at the equation and see that n is being multiplied by 3 to equal 24. Since 8 times 3 equals 24, you can substitute to solve:

8 = n - 5

n = 13

Therefore, through simplification, n is equal to 13.

I hope this helps!

Answer:

yes, you can get all right answers.

Answer:

yes i believe that you can get all the answers right

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume your expression is:

6x^3-60x^2+144x.

I'll use that information.

Factor 6x^3−60x^2+144x

6x^3−60x^2+144x

=6x(x−4)(x−6)

The correct option is a b c d.

fd = 2,809

We need to round the given answers to the nearest hundredth.

a. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

b. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

c. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

d. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

Therefore, the correct option is a b c d.

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Answer:

Step-by-step explanation:

In the first sequence, subtracting the previous term from each term starting from the second one gives these values: (0, 6, 12, 18, 24, . . .) is an arithmetic sequence.

How to find the common difference in the arithmetic sequence?

Common difference =  second term - first term

The difference between the terms is constant. This sequence is an arithmetic one, with the common difference being 6.

Common difference = 6.

Just by looking at the terms in the second sequence,

(1, 6, 36, 216, 1,296, . . .), the difference between the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.

Like arithmetic sequences, linear equations show a common difference between numbers.

Answer: In the first sequence, subtracting the previous term from each term starting from the second one gives these values:

6 – 0 = 6, 12 – 6 = 6, 18 – 12 = 6, and 24 – 18 = 6.

The difference of the terms is constant. This sequence is an arithmetic one, with the common difference being 6.

Just by looking at the terms in the second sequence, (1, 6, 36, 216, 1,296, . . .), it’s clear that the difference of the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.

Like arithmetic sequences, linear equations show a common difference between numbers.

Step-by-step explanation: Edmentum Answer

x + (8-x) = 8

+ (13-x) - (7-x) = 6

=13 =8

(8-x) + (7-x) = 8

15-2x = 8

-2x = -7

A.

x = 3.5

(top left)

B.

x = 4.5

( top right)

C.

13 - 3.5 = 9.5

(bottom left)

D.

7 - 3.5 = 3.5

(bottom right)

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The standard normal curve is a symmetric, bell-shaped curve. The area to the left of a given value (z) is represented by a cumulative probability value. In this question, we are looking for the value of z such that 5.5% of the area lies to the left of z. This can be solved using the z-score table.

The z-score table gives the area under the standard normal curve to the left of a particular value of z. Since we are looking for 5.5% of the area to the left of z, we can look for the corresponding z-score in the table. The z-score that corresponds to 5.5% of the area is -0.95. Therefore, the value of z we are looking for is -0.95.

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The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.

From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:

30 + 40 = 70

So the experimental probability of landing on A or C is:

70/100 = 0.7

However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:

Experimental probability of landing on A = 30/100 = 0.3

Experimental probability of landing on C = 40/100 = 0.4

Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

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Answer:

b = 10

Step-by-step explanation:

You take the decimal, divide it by the addend and then you take the fraction and subtract that by the sum and then multiply your answer by 5.

Step-by-step explanation:

Answer:

Do you need help with something or is this fr33 points?

The value of the line integral \($\int_C \mathbf{F} \cdot d \mathbf{r}$\) is 82/3, that is, the value of the integral where the function to be integrated is evaluated along a curve is 82/3.

A line integral is a type of integral that is performed along a curve or path in a vector field. It calculates the cumulative effect of a vector field along a specific path.

The terms path integral, curve integral and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for line integrals in the complex plane.

In order to evaluate the line integral, we need to find a potential function for the given vector field.

Let's integrate each component of the vector field to find the potential function:

\(\[\int (2x^2 \, dx) = \frac{2}{3}x^3 + C_1(y, z)\]\[\int (dy) = y + C_2(x, z)\]\[\int (2z \, dy) = z^2 + C_3(x, y)\]\)

Combining these results, the potential function is:

\(\[f(x, y, z) = \frac{2}{3}x^3 + y + z^2 + C\]\)

Now, we can evaluate the line integral using the potential function:

\(\[\int_C \mathbf{F} \cdot d\mathbf{r} = f(3, 2, 9) - f(2, 0, 1)\]\)

Plugging in the values, we get:

\(\[f(3, 2, 9) = \frac{2}{3}(3)^3 + 2 + (9)^2 + C = 28 + C\]\[f(2, 0, 1) = \frac{2}{3}(2)^3 + 0 + (1)^2 + C = \frac{8}{3} + C\]\)

Therefore, the line integral becomes:

\(\[\int_C \mathbf{F} \cdot d\mathbf{r} = (28 + C) - \left(\frac{8}{3} + C\right) = \frac{82}{3}\]\).

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Answer:

60 square inches

Step-by-step explanation:

Measure of length in scale drawing = Measure of actual length

                                             6 inches = 24 feet

                                               ∴ 1 inch = \(\frac{24}{6}\) feet

∴Unit multiplier applied:

                  ∴1 inch in scale drawing = 4 feet of actual measurement

         
Measure of width in scale drawing = Measure of actual width

                                             x inches = 40 feet

                                           ∴ x inches = (40 feet) × (\(\frac{1 inch}{4 feet}\))

Measure of width in scale drawing   = 10 inches

Area of rectangular floor in the scale drawing = (Length) × (Width)

                                                                                = (6 inches) × (10 inches)

                                                                                = 60 square inches