Given: f(x)=x²+1 and f(g(x)) = 4x² + 4x +2. Find g(x).

To find the percentage of wire that was used, we need to divide the length of the wire that was used by the total length of the wire, and then multiply by 100 to convert the result to a percentage.

The expression to calculate the percentage of wire used is:

percentage used = (length used / total length) × 100%

Substituting the given values, we get:

percentage used = (65 ft / 80 ft) × 100% ≈ 81.25%

Therefore, about 81.25% of the electrical wire was used.

Step-by-step explanation:

lol I guess you didnt do PEMDAS

you would divide 200÷2 wich is 100

so then u add the other 200 with 100 to get 300

Answer: it is 200, not 300 unless you added 100 after.

Answer:

3,384

Step-by-step explanation:

So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:

564 x 6 = 3,384

hope this helps:D

Answer: I think it’s c?

Step-by-step explanation:

Not sure though

Answer:

C. the graph of f(x) +K

Step-by-step explanation:

C is the only graph with a y = 3

Answer: 10

Step-by-step explanation:

We can see here that according to the partial W-2 form, the money that was paid in FICA taxes is: B. $1789.87.

Governments impose taxes as obligatory financial charges or levies on citizens, businesses, and other organizations to pay for public expenses and fund government operations.

FICA taxes are comprised of Social Security and Medicare taxes.

The Social Security tax rate is 6.2% and the Medicare tax rate is 1.45%. The total FICA tax rate is 7.65%.

The breakdown of the FICA taxes paid:

Social Security tax: $1430.20

Medicare tax: $359.67

Total FICA taxes: $1789.87

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Values at one, two and three standard deviations are 77.9, 82.8 and 87.7 respectively. Values at -1, -2 and -3 standard deviations are 68.1, 63.2 and 58.3 respectively.

The average grade given = 73

So, the mean, μ = 73

The standard deviation, σ = 4.9

We need to find the 1,2 and 3 standard deviations and -1, -2 and -3 deviations from the mean.

We use the formula z = μ + nσ to find the values at nth deviations.

When n = 1

z = 73 + 1 x 4.9 = 77.9

When n = 2

z = 73 + 2 x 4.9 = 82.8

When n = 3

z = 73 + 3 x 4.9 = 87.7

When n = -1

z = 73 -1 x 4.9 = 68.1

When n = -2

z = 73 - 2 x 4.9 = 63.2

When n = -3

z = 73 - 3 x 4.9 = 58.3

Hence, these are the required values.

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The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.

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Answer: undefined

This is because the x value is 5, which means that there is no horizontal movement of the line. So therefore, the line is vertical. And vertical lines have an undefined slope.

Hope this helps!

Answer:

the slope is just x= 5

Step-by-step explanation:

because if its just going streight down it would just be a line on x axis on 5

Answer:

I think 83 ÷ 10 and it said that it incorrect

Step-by-step explanation:

Answer:

4 bags

Step-by-step explanation:

What I did was convert the values into decimals

8/9 ≅ 0.88...

2/9≅ 0.22...

Divide the new values; 0.88/0.22 = 4

Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

\(6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24\)

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

\(15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1\)

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

Answer:

Let's denote the horizontal distance of the support beam from the bottom of the ladder as "x" meters.

According to the given information, the ladder is resting against a vertical wall that is 1.8m high, and the support beam is placed 0.6m away from the wall. The length of the support beam is 0.6m.

We can use similar triangles to solve for "x". The triangles formed by the ladder, the support beam, and the vertical wall are similar triangles.

The height of the vertical wall (1.8m) corresponds to the length of the ladder along the wall, and the horizontal distance from the wall to the support beam (0.6m) corresponds to "x" meters on the ladder.

Using the concept of similar triangles, we can set up the following proportion:

(Height of wall) / (Horizontal distance from wall to support beam) = (Length of ladder) / (Distance from bottom of ladder to support beam)

Plugging in the given values:

1.8 / 0.6 = (Length of ladder) / x

Simplifying the proportion:

3 = (Length of ladder) / x

To find the length of the ladder, we can use the Pythagorean theorem, which states that the square of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides (height of wall and horizontal distance from wall to support beam).

Length of ladder = √(height of wall)^2 + (horizontal distance from wall to support beam)^2

Length of ladder = √(1.8)^2 + (0.6)^2

Length of ladder = √3.24 + 0.36

Length of ladder = √3.6

Length of ladder ≈ 1.897 m (rounded to three decimal places)

Plugging this value back into the proportion:

3 = 1.897 / x

Solving for "x":

x = 1.897 / 3

x ≈ 0.632 m (rounded to three decimal places)

So, the horizontal distance of the support beam from the bottom of the ladder is approximately 0.632 meters.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The equation for a circle with a radius of r and center at (h, k) is given by \((x - h)^2 + (y - k)^2 = r^2\).The correct answer is option B.

In this equation, (x, y) represents any point on the circle's circumference. The center of the circle is denoted by (h, k), which specifies the horizontal and vertical positions of the center point.

The radius, r, represents the distance from the center to any point on the circle's circumference.

This equation is derived from the Pythagorean theorem. By considering a right triangle formed between the center of the circle, a point on the circumference, and the x or y-axis, we can determine the relationship between the coordinates (x, y), the center (h, k), and the radius r.

The lengths of the triangle's sides are (x - h) for the horizontal distance, (y - k) for the vertical distance, and r for the hypotenuse, which is the radius.

By squaring both sides of the equation, we eliminate the square root operation, resulting in the standard form of the equation for a circle.

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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

Answer:

the bottom one

Step-by-step explanation:

They are both the same ab and bc but im not entirely  sure

Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.

On the graph, we can see a line that contains points A, B, and C.

Now we want to see which statement is false.

Now, because A, B, and C are on the same line, is trivial that:

AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.

Then we can conclude that the incorrect statement is the last one.

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Answer:

\(\huge\boxed{\sf x = 16.3}\)

Step-by-step explanation:

Firstly we've to find the hypotenuse of the first triangle:

In the first triangle, for the angle 45:

Adjacent = 10

Hypotenuse = ?

Using cos for it.

Cos 45 = adjacent / hypotenuse

0.707 = 10 / hyp

hyp = 10 / 0.707

hyp = 14.14

The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.

Also, hypotenuse = x and angle is 60 degrees.

So, we will use the sin ratio.

sin 60 = opposite / hypotenuse

0.866 = 14.14 / x

x = 14.14 / 0.866

x = 16.3

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

Hope this helped!

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

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Answer:

distribute the 3

Step-by-step explanation:

follow pemdas ill put a brainpop link below

its the answer highlighted in yellow

Answer:

the 4th option is the right answer

subtract the constants

hope this helped you

please mark as the brainliest (ㆁωㆁ)

The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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The equation (x-4)² + (y-9)² = 81 represents a circle with center (4, 9) and radius 9.

To draw a sketch of the graph, we can start by plotting the center point (4, 9), then drawing a circle with radius 9. The circle should touch the x-axis at two points since its center is above the x-axis, and it should not intersect or touch the y-axis.

Without any calculations, we can see that the circle touches the x-axis twice because the center of the circle is 9 units away from the x-axis, which is equal to the radius of the circle. On the other hand, the circle does not intersect or touch the y-axis because the center is 4 units away from the y-axis, which is less than the radius.

Here is a rough sketch of the graph:

         |

         |

         |

         |

----------|---------   x-axis

         |

    o    |    \

         |      \

         |        \

         |          \

         |           \

         |            \  

         |             \

        y-axis  

The letter "o" represents the center of the circle, and the line segments represent the circle's circumference. As you can see, the circle intersects the x-axis twice but does not touch or intersect the y-axis.

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Answer:

It's 20

Step-by-step explanation:

240/12 to find average

average=20