explain whether each equation is a linear equation.

the answer should be 14√2

edit: its 28 over 2

Answer:

Answer: -1

Step-by-step explanation:

The Polynomial Remainder Theorem

It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

We have the polynomial:

\(f(x)=x^3+x^2+x+1\)

And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.

Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.

Find:

\(f(1)=1^3+1^2+1+1\)

f(1)=4

Thus, x=1 is not a zero of f(x)

Now, find:

\(f(-1)=(-1)^3+(-1)^2+(-1)+1\)

\(f(1)=-1+1-1+1=0\)

Thus, x=-1 is a zero of f(x)

Answer: -1

the answer might be C=4.5 feet

Answer:

v = 3y/2

y = 2v/3

Step-by-step explanation:

Answer:

The probability of getting 6 the first time and an even number the second time is 1/12.

what is probability?

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

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Step-by-step explanation:

The surface area of the white mug would be 125 cm² since the surface area of the blue mug is 80 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Since the coffee mugs are similar, hence ratio of their sizes are similar

Ratio of volume = scale factor³

Scale factor³ = 125 ml / 64 ml = 1.95

Scale factor = 1.25

Surface area of white mug = scale factor² * surface area of the blue

mug = 1.25² * 80 cm² = 125 cm²

The surface area of the white mug would be 125 cm² since the surface area of the blue mug is 80 cm²

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Answer: So J divided by nine is five, so divided means division, is would mean equal, So I would have J divided by nine is 5. You could also write it like Jay over nine equals 5 and what you would do in order to get J by itself, you have to do the inverse of division, which is multiplication.

Answer:45

Step-by-step explanation:

write an equation to represent the following statement. So J divided by nine is five, so divided means division, is would mean equal, So I would have J divided by nine is 5. You could also write it like Jay over nine equals 5 and what you would do in order to get J by itself, you have to do the inverse of division, which is multiplication. So I'm going to multiply by nine on both sides, So nine the nines cancel out and I get J Equals nine times 5 is 45. So in these boxes I would put jay Over nine equals 5. Or you could do J divided by nine equals 5 and then J equals 45. So this is the middle school math teacher siding out.

The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

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Answer:

3.75

Step-by-step explanation:

if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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{7x+4}/{x^2-x-56}

using common denominators

Answer:

for what?

Step-by-step explanation:

I dont see any?

Answer:

You dont have any numbers here, or an image...so how can i help u? Do that, I'll friend you, and ill go to your questions that you ask so that i can answer it.

Step-by-step explanation:

Plz and ty, cuz no one can help if we dont know what to do

Note: The function is not an equation. I will form and solve an equation to answer the question.

Answer:

C. Two real solutions

Step-by-step explanation:

We have the following function:

f(x)=2(x-1)^2+4

It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.

Solve for x when:

f(x)=12

Substituting the function:

2(x-1)^2+4=12

Subtracting 4:

2(x-1)^2=8

Dividing by 2:

(x-1)^2=4

Taking square root:

x-1=\pm\sqrt{4}

Solving:

x=1\pm2

We have two real solutions x=3 and x=-1

Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

The equation is given below.

f(x) = 2(x - 1)² + 4

f(x) = 2x² - 4x + 2 + 4

f(x) = 2x² - 4x + 6

The discriminant is given as,

D = (-4)² - 4×2×6

D = 16 - 48

D = - 32

D < 0

The roots are complex root.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

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Answer:

22

Step-by-step explanation:

F(5)= 5(5) -3 (Replace x by 5)

F(5)= 25-3 (Solve for 5 and 5)

F(5)= 22 (Simplify)

22 (Answer)

The values of x that make the given vectors orthogonal are xi = 5 and xi = -2.

The dot product of two vectors is equal to zero when the vectors are orthogonal. Thus, to find the values of X such that the given vectors are  orthogonal, we must set the dot product of the two vectors to zero and then solve the resulting equation. The dot product of two vectors is calculated by taking the sum of the product of the corresponding components of the two vectors. In this case, the dot product of the two vectors is calculated as:

(xi + 2xj) • (xi - 5j) = xi2 + 2xixj - 5xi - 10xj

Setting this equal to zero and solving for x, we obtain

xi2 + 2xixj - 5xi - 10xj = 0

Subtracting 2xixj from both sides, we get

xi2 - 5xi - 10xj = -2xixj

Factorizing the left-hand side, we get

(xi - 5)(xi + 2) = -2xixj

Setting the two factors on the left-hand side equal to zero and solving for x, we get

xi - 5 = 0  => xi = 5

and

xi + 2 = 0  => xi = -2

Thus, the values of x that make the given vectors orthogonal are xi = 5 and xi = -2.

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Answer:

26

Step-by-step explanation:

9=x+1

5=10÷3

9=x+1

5=3.333°

Now you need to find scale factor (sf)

5÷3.333°=1.5

SF=1.5

9÷3.333=2.7

2.7-1=1.7

x=1.7

Answer:

  x = 5

Step-by-step explanation:

Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.

Corresponding side lengths of similar polygons are proportional. This means ...

  WT/UV = RS/PQ

  (x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values

Multiplying by 10/3 gives ...

  x +1 = (10/3)(9/5) = 6

  x = 5 . . . . . . . . . subtract 1

the center is (-7,5) and the radius is 2

Answer:

-6.5

Step-by-step explanation:

-2 + -9 =-11 ÷2=-6.5

Answer:

Depends. If you were asking 2+-9/2, according to the rules of PEMDAS it would be -2.5 but by the way you wrote that, I'm assuming you meant (2+-9)/2 which is -3.5.

Answer and Step-by-step explanation:

12.[p4-7p2-32p-15]/[p-4]

p*p*p*p-7*p*p-32p-15/p-4

4p-7*2p-32p-15/p-4

4p*2p-32p/p-7-15-4

8p-32p/p-7-15-4

8p-32p-26

-24p-26

11.[x4-2x3-29x2-43x+8/[x-7]

x*x*x*x-2*x*x*x-29*x*x-43x+8/x-7

4x-2*3x*-29*2x-43x+8/x-7

4x*3x*2x-43x/x-2-29+8-7

24x-43x/x-32

-19x-32

10.[2x3-14x+10/x/3]

2*x*x*x-14x+10/x/3

2*3x-14x+10/x/3

2*10/3*3x-14x/x

20/3*3x-14x

20/3*[-11x]

9.[m3-12m2+33m]/[m-5]

3m-12*m*m+33m]/[m-5]

3m*2m+33m/m-12-5

6m+33m-17

39m-17

Just use the same principle to get the rest of the two questions[I can't see them clearly]

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

The volume of the rectangular box is 45 cubic inches  

A cuboid is a three-dimensional geometric shape with 6 rectangular faces, 8 corners, and 12 sides. This is a special type of right angle prism. That is, two pairs of parallel, congruent faces form a rectangle. Opposite faces of a cuboid have the same length, width, and height. A cuboid can be visualized as a box with different dimensions of length, width and height. The length of a cuboid is the distance along the longest side, the width is the distance along the shortest side, and the height is the distance along the side perpendicular to the length and width. The volume of a cuboid can be calculated by multiplying its length, width and height.

length, l= 5 in

width, w= 3 in

height, h = 3 in

Volume = l*w*h= 5*3*3 = 45 cubic inches

The volume of the rectangular box is 45 cubic inches  

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The residuals should show no pattern around the horizontal axis.

You obtain a line of best fit when you execute simple linear regression (or any other kind of regression analysis). Typically, the data points are dispersed rather than falling exactly on this regression equation line. The vertical separation between a data point and the regression line is known as a residual. There is one residual for every data point. As follows:

If they are above the regression line and below it, they are positive and vice versa, respectively.

If the regression line actually crosses the spot, the result is zero.

Hence, the residuals should show no pattern around the horizontal axis.

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The correct question is:

We can plot the residuals sequentially over time to look for correlated observations. if there is no violation, then what would you see?

The residuals should show normal pattern around the vertical axis.

The residuals should show normal pattern around the horizontal axis.

The residuals should show no pattern around the horizontal axis.

The residuals should show no pattern around the vertical axis.

Hope this help you with this problem!

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Answer:

67.5

Step-by-step explanation:

If all triangles equal 180 degrees, and one angle is 45 degrees, you get the equation 180 = 45 + x + x which is the same as 180 = 45 + 2x, and instead of that equation, you can use 180 - 45 = 2x. That gives you 135 = 2x, and now divide both sides by 2 and you get 67.5 = x

The ellipse intersects the circle at the points \((4 + \( \sqrt{3} \), \( \frac{\sqrt{6}}{2} \)), (4 + \( \sqrt{3} \), \( -\frac{\sqrt{6}}{2} \)), (4 - \( \sqrt{3} \), \( \frac{\sqrt{6}}{2} \)), and (4 - \( \sqrt{3} \), \( -\frac{\sqrt{6}}{2} \)).\)

The standard form of the equation of an ellipse is \(\( \frac{(x - h)^{2}}{a^{2}} + \frac{(y - k)^{2}}{b^{2}} = 1 \)\)where a is the length of the horizontal semi-axis and b is the length of the vertical semi-axis.

The given equation is \( 2 x^{2}-24 x+3 y^{2}=0 \).

To find the center of the ellipse, we will write the given equation in the standard form of an ellipse as follows:

\($$2x^2-24x+3y^2 = 0$$$$\Rightarrow \frac{2x^2}{3} - 8x + y^2 = 0$$$$\Rightarrow \frac{(x - 2)^2}{\frac{3}{2}} + \frac{y^2}{2} = 1$$\)

The center of the ellipse is (2, 0). The length of the horizontal semi-axis is \( \sqrt{\frac{3}{2}} \), and the length of the vertical semi-axis is \(\sqrt{2} \).

Using the formula, \( c^{2} = a^{2} - b^{2} \), we can find the foci of the ellipse:

\($$\begin{aligned} c^{2} &= a^{2} - b^{2} \\ c^{2} &= \frac{3}{2} - 2 \\ c^{2} &= \frac{-1}{2} \end{aligned}$$\)

Since \( c^{2} \) is negative, this means the ellipse has no real foci.

Using the formula, \( a^{2} = b^{2} + c^{2} \), we can find the vertices of the ellipse:

\($$\begin{aligned} a^{2} &= b^{2} + c^{2} \\ a^{2} &= 2 - \frac{1}{2} \\ a^{2} &= \frac{3}{2} \end{aligned}$$\)

The vertices are \((2 ± \( \sqrt{\frac{3}{2}} \), 0).\)We can use the center and the lengths of the horizontal and vertical semi-axes to graph the ellipse:

The equation of the circle is \( x^2 + y^2 = 13 \).

Substituting \( 2x^2 - 24x + 3y^2 = 0 \) for \( y^2 \), we get:

\($$x^2 + \frac{2x^2 - 24x}{3} = 13$$$$\Rightarrow x^2 - 8x + 13 = 0$$$$\Rightarrow (x - 4)^2 = 3$$\)

The solutions of the equation are \(x = 4 ± \( \sqrt{3} \).\)

Substituting \(x = 4 + \( \sqrt{3} \) and x = 4 - \( \sqrt{3} \)\)into the equation of the ellipse, we get:

\(y =± \( \sqrt{\frac{2}{3}}\sqrt{\frac{3}{2} - \frac{3}{4}} \)=± \( \frac{\sqrt{6}}{2} \)\)

The ellipse intersects the circle at the points \((4 + \( \sqrt{3} \), \( \frac{\sqrt{6}}{2} \)), (4 + \( \sqrt{3} \), \( -\frac{\sqrt{6}}{2} \)), (4 - \( \sqrt{3} \), \( \frac{\sqrt{6}}{2} \)), and (4 - \( \sqrt{3} \), \( -\frac{\sqrt{6}}{2} \)).\)

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Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

it depends, I can't see which angle for some reason, but a triangle has a total of 180 degrees

Step-by-step explanation:

SOLUTION

I believe the following explanation should help to answer

A consistent system is a system that has at least one solution.

If a consistent system has exactly one solution, it is independent.

If a consistent system has an infinite number of solutions, it is dependent.

But, If a system has no solution, it is said to be inconsistent

Hence the answer is Inconsistent, option D

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

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