If m∠J is 116°, what is m∠F?
A.
116°
B.
32°
C.
58°
D.
64°

Darren's salary will be $102,724.24 in 9 years.

Annual salary can be defined as the amount of money a company pays you in exchange for the job you do during the year.

We can calculate Darren's salary in 9 years by multiplying his current salary by (1 + 5.5%) raised to the power of 9.

The formula would look like this:

Salary in 9 years = $66,648 * (1 + 0.055)^9

Plugging in the numbers and using a calculator, we get:

Salary in 9 years = $66,648 * 1.55946429

Salary in 9 years = $102,724.24

So, Darren's salary will be $102,724.24 in 9 years.

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Answer:

One third of 24

Step-by-step explanation:

because 3 is a whole number smaller than 4 so the answer would be 3/24 not 4/16.  

The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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Answer:

\(r = 5\)

Step-by-step explanation:

\(r^3 = 125 \text{ // Take the 3rd sqrt of both sides}\\\to \sqrt[3]{r^3} = \sqrt[3]{125}\\\to r = 5\)

Answer:

Brainleast Answer

Step-by-step explanation:

r=5

hopebit helps

The needed Ahmed takes 45 seconds longer than Tonya to run a afar.

Simplification involves applying rules of computation and algebra to remove gratuitous terms, factors, or operations from an expression.

Then,

To calculate how much longer it takes Ahmed to run a afar than Tonya, we need to find the difference between their handling times.

First, we need to convert the times to a common unit. Let's convert the times to seconds,

Ahmed's time 8 twinkles 30 seconds = ( 8 x 60) 30 = 510 seconds

Tonya's time 7 twinkles 45 seconds = ( 7 x 60) 45 = 465 seconds

Now we can find the difference in their times

Ahmed's time- Tonya's time = 510 seconds- 465 seconds = 45 seconds

thus, Ahmed takes 45 seconds longer than Tonya to run a afar.

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Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer:

96x² + 276x - 495

Step-by-step explanation:

(12x-15) (8x+33)

= 96x² + 396x - 120x - 495

= 96x² + 276x - 495

So, the answer is 96x² + 276x - 495

The area between one standard deviation and either side of mean is 34%

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

According to the question,

If we place the flag 1 standard deviation on either side of the mean

which means flag is placed either on (µ + σ) or ( (µ - σ)

and Using Empirical rule,

68% of area lie under (µ ± σ)

Therefore , Area between either  (µ + σ) or ( (µ - σ) = 68 / 2

=> 34%

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Answer:I'm going to illustrate by converting 4325 to base 8. I an going to do it in two steps. First convert 4325 to base 10 and then convert this base 10 number to base 8.

Converting 4325 to base 10 just requires remembering what base 5 means.

4325 = 4 × 52 + 3 × 5 + 2 = 4 × 25 + 15 + 2 = 117.

To put 117 into base 8 imagine you have 117 CDs. Put them is stacks of 8 disks each. You get 14 stacks of 8 disks with 5 remaining (that is 117 ÷ 8 = 14 with a remainder of 5). Now take the 14 stacks and put them in groups of 8. You get 1 group of 8 stacks and 6 stacks remaining ((that is 14 ÷ 8 = 1 with a remainder of 6). Thus you have

1 group of 8 stacks (1 × 8 × 8 disks)

6 stacks (6 × 8 disks) and

5 individual disks.

Hence 117 = 1 × 82 + 6 × 81 + 5 = 1658

Here, more compactly is what I did

117 ÷ 8 = 14, remainder of 5

14 ÷ 8 = 1, remainder 6

1 ÷ 8 = 0, remainder 1

Read the remainders from bottom to top, 1658

Step-by-step explanation:

The area of a Composite figure with a shaded region requires breaking down the figure into its simpler shapes and calculating the area of each shape.

Composite figures are made up of two or more simple shapes, such as squares, triangles, rectangles, or circles, that are combined together. When a composite figure has a shaded region, it means that a portion of the figure is colored or filled in.

To find the area of a composite figure with a shaded region, we need to break it down into its simpler shapes. Then, we can calculate the area of each simple shape and add them together to get the total area of the composite figure.

For example, consider a composite figure made up of a square and a semicircle, where the shaded region is the part of the square that is outside of the semicircle. To find the area of the shaded region, we can follow these steps:

1. Find the area of the square: A = s^2, where s is the length of a side of the square.

2. Find the area of the semicircle: A = (πr^2)/2, where r is the radius of the semicircle.

3. Subtract the area of the semicircle from the area of the square to get the area of the shaded region: A_shaded = A_square - A_semicircle.

To visualize this process, we can draw the composite figure and shade in the desired region. Then, we can label the dimensions of each simple shape and use them to calculate the areas.

It is important to remember that when finding the area of a shaded region in a composite figure, we need to make sure that we are subtracting the area of the shaded region only once. This can be tricky if the shapes overlap, so it is important to be careful and double-check our work.the area of a composite figure with a shaded region requires breaking down the figure into its simpler shapes and calculating the area of each shape.

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lA composite figure is a figure that is made up of two or more simpler figures. The area of the shaded region is 99 square units.

In order to find the area of a shaded region, you can use the following steps:

Identify the simpler figures that make up the composite figure.

Find the area of each simpler figure.

This composite figure is made up of a rectangle and a triangle. The area of the rectangle is

= 10 * 12  =120 square units,

The area of the triangle is

= 1/2 * 6 * 7

= 21  square units.

The area of the shaded region is therefore

= 120 - 21

= 99 square units.

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Answer:

A. Hyperbole

Step-by-step explanation:

"I've asked you a million times to please close the back door," said Jade's mother.

A million times is the exaggerated phrase in the sentence. Jade's mother did not really ask her that a million times, but it is used in this sentence as a way to show the reader that she said it a lot.

Hope this helps! : )

Answer:

2/15

Step-by-step explanation:

BRANIEST PLS

Answer: 2/15 is the answer hope this help

Step-by-step explanation:

No, the transformation given is not a reflection, hence the statement is false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. The original shape of the object is called the Pre-Image, and the final shape and position of the object is the Image under the transformation.

Given is a figure, showing some transformation, we need to identify whether the transformation is a reflection or not,

So, by the observation of the figure, we see that, the figure is similar to the preimage, and in reflection we obtain a flip image of the preimage,

A reflection reflects a point or shape across a given line. we do not get the same results after performing reflection transformation.

The figure is showing a translational transformation instead of reflection transformation.

Hence, the statement is wrong.

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The question do not have figure, the question is solved for the figure attached

The inverse Laplace transform of F(s) is f(t) = -10.2857

To find the inverse Laplace transform of the given function F(s), we need to use the partial fraction expansion method. The function F(s) is:

F(s) = 11 + (4/s) + (12/(7s^3)) - 20

Step 1: Factorize the denominator of the fraction with s.

F(s) = 11 + (4/s) + (12/(7s^3)) - 20

= 11 - 20 + (4/s) + (12/(7s^3))

Step 2: Express F(s) as a sum of partial fractions.

F(s) = (-9) + (4/s) + (12/(7s^3))

Step 3: Write the partial fraction decomposition.

F(s) = -9 + (A/s) + (B/s^2) + (C/s^3)

Step 4: Clear the fractions and find the values of A, B, and C.

Multiplying through by the common denominator (s^3), we get:

-9s^3 + As^2 + Bs + C = 4 + 12s + 7s^2

Matching coefficients on both sides, we have:

Coefficient of s^3: -9 = 7 (implies A = -9/7)

Coefficient of s^2: 0 = 1 (implies B = 0)

Coefficient of s^1: 0 = 12 (implies C = 0)

Coefficient of s^0: 0 = 4 (implies -9s^3 = 4)

Therefore, A = -9/7, B = 0, and C = 0.

Step 5: Rewrite F(s) in terms of the partial fractions.

F(s) = -9 + (-9/7s) + (0/s^2) + (0/s^3)

= -9 - (9/7s)

Step 6: Take the inverse Laplace transform of F(s) to find f(t).

f(t) = -9 - (9/7) * L^(-1){1/s} (using the property L^(-1){1/s} = 1)

= -9 - (9/7) * 1

= -9 - 9/7

= -9 - 1.2857

= -10.2857

Therefore, the inverse Laplace transform of F(s) is f(t) = -10.2857.

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The Dimension Index is 0.322.

The Dimension Index is calculated using the formula:

\[ \text{Dimension Index} = \frac{\text{Actual Value} - \text{Minimum Value}}{\text{Maximum Value} - \text{Minimum Value}} \]

Given that the Actual Value is 8.5, the Minimum Value is 4.0, and the Maximum Value is 19.3, we can plug these values into the formula:

\[ \text{Dimension Index} = \frac{8.5 - 4.0}{19.3 - 4.0} = \frac{4.5}{15.3} \approx 0.294 \]

So, the Dimension Index is approximately 0.294.

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The number of miles in the taxi ride is 13 miles.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Lydia took a taxi from her house to the airport and the taxi company charged a pick-up fee of $4.10 plus $2.50 per mile.

The equation can be illustrated thus:

4.10 + 2.5x = 36.60

Collect like terms

2.5x = 36.60 - 4.10

2.5x = 32.5

Divide

x = 32.5 / 2.5

x = 13

The number of miles is 13 miles

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Answer:

the answer is 12

Step-by-step explanation  

i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer

By converting the logarithmic equation log6(x) = 2 to exponential form, we get that the value of x is equal to 36.

In logarithmic form, the base (6 in this case) is raised to the power that gives the result x (in this case).

So, log6(x) = 2 means that 6 raised to the power of 2 gives x.

To convert this logarithmic equation to exponential form, you would write it as an exponentiation equation:

6^2 = x

Simplifying this equation, we find that x = 36.

Therefore,We got that x is equal to 36.

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Answer: 5.657

Step-by-step explanation:

Split it into two right triangles, with the hypotenuse being the diagonal.

Then, a square plus b square = c square

So, 4 square + 4 square = c square

16 + 16 = c square

32 = c square

square root of 32 = c

square root of 32 = ~5.657

c = ~5.657

Answer:

I'm not smart at this stuff

Using the properties of  standard deviation , 10.56% of people will not be eligible in the first year.

A standard normal table is a mathematical representation of the values of the components of the normal distribution's cumulative distribution functions.

Given mean = 950

SD = 200

data value = 700

Z score = (700-950) ÷ 200 = -1.25

Therefore the p-value corresponding to the z-score is : 0.1056

therefore the required percentage = 10.56%

Hence 10.56% of people will not be eligible in the first year.

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Answer:

a) "3y-1" is not a linear equation because it is missing an equal sign. It is just an expression.

b) "x²+1=5" is not a linear equation because it contains a squared term.

c) "y<7" is not an equation at all. It is an inequality.

d) "6y+1=0" is a linear equation because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6/1 and the y-intercept is 1/6.

The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).

To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.

Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:

∂F/∂x = 3x² - 12

∂F/∂y = 3y² + 6y - 9

To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:

3x² - 12 = 0 --> x² = 4 --> x = ±2

3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1

Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).

To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:

∂²F/∂x² = 6x

∂²F/∂y² = 6y + 6

Now, let's evaluate the second partial derivatives at each critical point:

At (-2, -3):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.

At (2, -3):

∂²F/∂x² = 6(2) = 12 (positive)

∂²F/∂y² = 6(-3) + 6 = -12 (negative)

Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.

At (-2, 1):

∂²F/∂x² = 6(-2) = -12 (negative)

∂²F/∂y² = 6(1) + 6 = 12 (positive)

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.

Therefore, the critical points are classified as follows:

Local maximum: (-2, -3)

Saddle points: (2, -3) and (-2, 1)

Local minimum: (2, 1)

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Answer:

B.

I hope it will be useful.

Answer:

option A is correct

let p =x

x2 = 64

p2=8*8=64

Step-by-step explanation:

hope my answer is helpful to you

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Answer:

-223/35

Step-by-step explanation:

thats the answer idk how to describe it coz im slow

Answer:

140 sports articles

Step-by-step explanation:

7 x 20 = 140

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

To solve this problem, we can use vector addition to find the final displacement of Jane.

Step 1: Determine the components of each displacement.

The southwest direction can be represented as (-5.0 miles, -45°) since it is in the opposite direction of the positive x-axis (west) and the positive y-axis (north) by 45 degrees.

The direction 70 degrees north of the west can be represented as (8.0 miles, -70°) since it is 70 degrees north of the west direction.

Step 2: Convert the displacement vectors to their Cartesian coordinate form.

Using trigonometry, we can find the x-component and y-component of each displacement vector:

For the southwest direction:

x-component = -5.0 miles * cos(-45°) = -3.536 miles

y-component = -5.0 miles * sin(-45°) = -3.536 miles

For the direction 70 degrees north of west:

x-component = 8.0 miles * cos(-70°) = 3.34 miles

y-component = 8.0 miles * sin(-70°) = -7.72 miles

Step 3: Add the components of the displacement vectors.

To find the total displacement, we add the x-components and the y-components:

x-component of total displacement = (-3.536 miles) + (3.34 miles) = -0.196 miles

y-component of total displacement = (-3.536 miles) + (-7.72 miles) = -11.256 miles

Step 4: Find the magnitude and direction of the total displacement.

Using the Pythagorean theorem, we can find the magnitude of the total displacement:

\(magnitude = \sqrt{(-0.196 miles)^2 + (-11.256 miles)^2} = 11.281 miles\)

To find the direction, we use trigonometry:

direction = atan2(y-component, x-component)

direction = atan2(-11.256 miles, -0.196 miles) ≈ -88.8°

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

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Answer:

i think these are the same as the one i answered on ur other question

just not the number lines

Therefore, the value of z needed to construct a 90% confidence interval on the population proportion is approximately 1.645 (rounded to two decimal places).

To construct a 90% confidence interval on the population proportion, we need to determine the corresponding z-value for a 90% confidence level.

For a 90% confidence level, we want to find the z-value that leaves 5% in each tail of the standard normal distribution. Since the distribution is symmetric, we need to find the z-value that corresponds to the upper 5% tail.

Looking up the z-value in a standard normal distribution table or using a statistical software, the z-value that corresponds to a 5% upper tail probability is approximately 1.645.

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