I Need Assistance with a Question for my Friend. Thanks! I'll Mark Brainliest ONLY for Complete and Correct Answer, As Well As a Full Step-By-Step Explanation.

Select the equivalent expression. (3².5)³= ?


Only Choose One Of The Following

35.53

35.5

36.5

36.53

The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

The functions are given as

f(x) =x^2

g(x) =3x^2

h(x) = -3x^2

Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2

g(x) =3f(x)

h(x) = -3f(x)

This means that the function f(x) is vertically compressed to form g(x)

Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

See attachment for the functions g(x) and h(x)

Also, functions f(x) and g(x) have the same domain and range

While functions f(x) and h(x) have the same domain but different range

The complete table is:

x      -2    -1    0   1    2

g(x)  12    3    0    3   12

h(x)  -12    -3    0    -3   -12

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Answer:

x = 10

y= 12

Step-by-step explanation:

We know that TSV = 90 degrees

5x+4x = 90

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

We know that RSU = 180

10y+10 +5x= 180

10y + 10 + 5(10) = 180

10y + 10 +50 = 180

10y +60 = 180

Subtract 60 from each side

10y = 120

Divide by 10

y = 12

Answer:

(5x+1)(x+7)

Step-by-step explanation:

4x^2+26x+6+x^2+10x

5x^2+36x+7

(5x+1)(x+7)

Prove

5x*x + 5x*7 + 1*x + 1*7

= 5x^2 + 35x + x + 7

= 5x^2 + 36x + 7

Answer: x ≤ 35x

Step-by-step explanation:

Answer:

G(x) = 3x +2

Step-by-step explanation:

I do not know what the problem is asking for, but if it's asking for the function, here you go.

Answer:

shbdhsjdcjsvdbssegehehhehehejrjehe

Answer:

3x + 2x

Step-by-step explanation:

Pretty sure its the first one because its the only thing that could come next.

Answer:

2 times the difference of x minus 7 plus 10

Step-by-step explanation:

When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!

The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.

In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.

To calculate the duration of the shift, you can perform the following steps:

1. Calculate the duration until midnight (0000 hours) on the same day:

  - The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).

2. Calculate the duration from midnight (0000 hours) to the clock-out time:

  - The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).

3. Add the durations from step 1 and step 2 to find the total duration of the shift:

  - 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.

Therefore, the duration of the shift was 10 hours.

6 cows are there  on the farm, 38 ostriches, for a total of 44 animals. they have a total of 100 legs.

To solve this problem, we need to use algebra. Let's let "c" represent the number of cows on the farm and "o" represent the number of ostriches on the farm. We know that there are 44 animals in total, so:

c + o = 44

We also know that cows have 4 legs and ostriches have 2 legs, and that there are a total of 100 legs on the farm. So:

4c + 2o = 100

Now we have two equations with two variables, so we can solve for one of the variables and then substitute it into the other equation to solve for the other variable. Let's solve for "o" in the first equation:

o = 44 - c

Now we can substitute this into the second equation:

4c + 2(44-c) = 100

Simplifying:

4c + 88 - 2c = 100

2c = 12

c = 6

So there are 6 cows on the farm. To check, we can substitute this into the first equation:

6 + o = 44

o = 38

So there are 6 cows and 38 ostriches on the farm, for a total of 44 animals. And the total number of legs is:

4(6) + 2(38) = 100

So this answer checks out.

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Answer:

\(x = \frac{k + c}{4}\)

Step-by-step explanation:

Given:

\(4x - c = k\)

Solve for:

\(x\)

Solution:

(1) Let's move all of components that do not contain \(x\) (our target) to the right side (notice the change of sign of \(c\) from negative to positive):

\(4x = k + c\)

(2) Let's divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{k + c}{4}\)

(3) Now, we simplify the left side:

\(x = \frac{k + c}{4}\)

This is the solution.

Hope this helps!

:)

The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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Amadi is at distance of approximately 63.5 meters away from Becky on a bearing of 048. Becky is approximately 83.8 meters away from Ikyume on a bearing of 024.

To solve this problem, we can use basic trigonometry and geometry concepts. First, let's draw a diagram to visualize the situation. Let A be the location of Amadi, B be the location of Becky, and C be the location of Ikyume. Let x be the distance from Amadi to Becky, and let α be the bearing from Amadi to Becky.

From the diagram, we can see that triangle ABC is a scalene triangle. To find the distance between Amadi and Becky, we can use the Law of Cosines:

x^2 = 62^2 + 42^2 - 2(62)(42)cos(70)

x^2 = 3844 + 1764 - 5276cos(70)

x^2 = 4035.01

x ≈ 63.5

So the distance between Amadi and Becky is approximately 63.5 meters.

To find the bearing from Amadi to Becky, we can use the Law of Sines:

sin(α)/42 = sin(70)/63.5

sin(α) = (42/63.5)sin(70)

α ≈ 48.5

So the bearing from Amadi to Becky is approximately 048.

To find the distance between Ikyume and Becky, we can use the Law of Cosines again:

BC^2 = 42^2 + 62^2 - 2(42)(62)cos(98)

BC ≈ 83.8

So the distance between Ikyume and Becky is approximately 83.8 meters.

To find the bearing from Ikyume to Becky, we can use the fact that the bearing from Ikyume to Amadi is 180 - 012 = 168:

BCsin(82)/sin(180-012) = ICsin(10)/sin(168)

IC ≈ 25.5

Now we can use the Law of Sines to find the bearing from Ikyume to Becky:

sin(θ)/25.5 = sin(82)/83.8

sin(θ) ≈ (25.5/83.8)sin(82)

θ ≈ 024

So the bearing from Ikyume to Becky is approximately 024.

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

118.2°

Step-by-step explanation:

Supplementary angles are angles that sum up to 180°. 180 - 61.8 = 118.2°, so that's you answer.

Answer:

118.2°

Step-by-step explanation:

supplementary means angle so it makes 180°

180-61.8=118.2°

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Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.

\(\frac{28}{7} = \frac{x}{6}\)

First, you should find the amount of money you can make by washing 1 car (unit rate).

\(\frac{28}{7} = \frac{x}{1}\)

To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.

Do the same thing to the numerator; 28 ÷ 7 = 4.

Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.

\(\frac{4}{1} = \frac{x}{6}\)

To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.

Now do the same thing to the numerator; 4 × 6 = 24.

You can earn 24 dollars by washing 6 cars.

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Answer:

\(\huge\boxed{\sf f(5) = 11}\)

Step-by-step explanation:

f(x) = 2x + 1

Put x = 5

So,

f(5) = 2(5) + 1

f(5) = 10 + 1

\(\rule[225]{225}{2}\)

A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:

In Math's, an intercept is a point on the y-axis, through which the slope of the line passes. It is y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept. There are basically two intercepts, x-intercept and y-intercept.

Rewrite the function as an equation:

→ y = 2x + 1

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y = mx + b where m is the slope of b is the y-intercept:

→ y = mx + b

Find the values of m and b using the form y = mx + b:

→ m = 2

→ b = 1

Therefore, A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:

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Using the vertical line test, the graph that represents a function is: Graph C.

A simple test we can carry out quickly to determine if a graph represents a function is the vertical line test.

Using the vertical line test, a vertical line is drawn across the curve in the given plane. If the vertical line intersect the curve more than once, it is not a function, but if it intersects the curve at just exactly one point, then the graph represents a function.

If we draw a vertical line across each of the given graphs, only the graph in option C will be intersected at exactly only one point.

Therefore, graph C represents a function.

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A typical decision support system (DSS) includes many components including a(n) dialogue manager which allows decision makers to easily access and manipulate the DSS and to use common business terms and phrases.

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A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

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The determinant of the matrix A can be found by arranging the coefficients of the variables in the system of equations into a matrix and evaluating its determinant.

The given system of equations can be written in matrix form as follows:

```

| 1  0  2 |   | x |   | -1 |

| 0  1 -2 | * | y | = |  2 |

| 2  1  1 |   | z |   |  1 |

```

The matrix on the left side is denoted as matrix A. To find the determinant of matrix A, we can use the cofactor expansion method or row operations. In this case, let's use the cofactor expansion along the first row.

Expanding along the first row, the determinant of A can be calculated as:

det(A) = (1) * det(A₁₁) - (0) * det(A₁₂) + (2) * det(A₁₃)

Where A₁₁, A₁₂, and A₁₃ are the determinants of the submatrices obtained by removing the first row and the respective column from matrix A.

Calculating the determinants of the submatrices, we have:

det(A) = (1) * (1 - 2) - (0) * (2 - 2) + (2) * (2 - 2)

Simplifying, we find:

det(A) = -1 + 0 + 0 = -1

Therefore, the determinant of matrix A is -1.

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To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Answer:

The answer is 13X.

6X + 9X is 15X, then subtract 2X to make it 13X.

Answer:

13x

Step-by-step explanation:

Step 1:

6x + 9x - 2x

Step 2:

15x - 2x

Answer:

13x

Hope This Helps :)

Answer:

1

Step-by-step explanation:

Using the points \((0,2)\) and \((1,3)\), the slope is \(\frac{3-2}{1-0}=1\).

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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As average animal has four legs, there were ten pigs and ten chickens, giving a total of 54 legs: 10 x 4 = 40 legs, 10 x 2 = 20 legs.

10 pigs and 10 chickens were present. 10 pigs have 4 legs each, for a total of 40 legs. 10 chickens have 2 legs each, for a total of 20 legs. 40 + 20 = 54 legs. Jill counted the animals in the farmyard and found twenty. The 20 animals had a total of 54 legs, according to Jack. We can perform a straightforward step-by-step computation to determine the number of pigs and chicks present. Since each pig has four legs, we may generate 40 legs by multiplying the number of pigs, 10, by 4. Similar to humans, chickens have two legs each, so multiplying 10 by 2 results in 20 legs. The sum of the two figures gives us 54 legs, which is the same as Jack's estimate. Hence, the farmyard contained 10 pigs and 10 hens.

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)