Find the length of segment BC

The distance further that Jeremy drives more than Kia would be 100 kilometers .

The distance that Jeremy drives in cm from A to B is 5 cm. In kilometers, this would be:

= 5 x 200 per cm

= 1, 000 kilometers

The distance that Kia drove from B to C was 4.5 cm and in kilometers this is:

= 4.5 x 200

= 900 kilometers

The distance that Jeremy drove more was:

= 1, 000 - 900

= 100 kilometers

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The missing step is:

<1 ≅ <1 and <3 ≅ <5

Reason:

Alternate interior angles theorem

The Alternate Interior Angles Theorem is a geometric proposition demonstrating the number of angles born when two parallel lines are intersected by an angled transversal.

Precisely expressed, it holds that whenever two lines of equivalence are cut by a straight line crossing them, the alternate interior angles (angles on both sides of the transversal, which lie inside the parallel lines) will be identical in measure.

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There are two key pieces of information we will need to solve this problem: the area of the section of the circle and the area of the triangle.

First, let's find the area of the section/part of the circle. We can do this by only finding 1/4 (90/360) of the area of the given circle.

1/4 x pi x 6^2

1/4 x pi x 36

Area of 1/4 of circle = 9pi ft^2

Second, let's find the area of the triangle.

1/2 x 6 x 6

3 x 6

Area of triangle = 18 ft^2

Next, let's find the area of one shaded section by subtracting the area of the triangle from the area of the section.

9pi - 18

Finally, to find the area of both shaded sections we'll need to double the answer from the previous step.

2(9pi - 18)

18pi - 36 = 20.549 (rounded to 3 decimal places)

Answer: [ 18pi - 36 ft^2 ] or [ 20.549 ft^2 ]

Hope this helps!

The line shown below are parallel: B. False, because their slopes are different.

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

For the slope of the red line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 4)/(4 + 2)

Slope (m) = 4/6

Slope (m) = 2/3.

For the slope of the green line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(-1 + 8)

Slope (m) = 4/7

2/3 ≠ 4/7.

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The requried choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}.

Choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}. The other events listed have sample spaces with more than two outcomes:

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The partial sum of both arithmetic sequence are:

1) S₄ = 58

2) S₃ = 2

An arithmetic sequence is defined as a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

The formula for the partial sum of an arithmetic sequence is:

Sₙ = (a₁ + aₙ)ⁿ/₂

1) The first term is 4

The fourth term is 25

Thus:

S₄ = ⁴/₂(4 + 25)

S₄ = 58

2) The first term is 1 while the third term is 1/3. Thus, the sum is:

S₃ = ³/₂(1 + ¹/₃)

S₃ = 2

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The number of times dice land on a number greater than 3 is 25.

Given that, a fair, 6-sided die is rolled 50 times.

Here, the total number of outcomes = 6

Number of favorable outcomes = 3

Probability of getting a number greater than 3 = 3/6

= 1/2

Die is rolled 50 times.

So, 1/2 ×50

= 25

Therefore, the number of times dice land on a number greater than 3 is 25.

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The area of the figure is 9 square units.

We have,

Rectangle : l = 3 unit and w= 2 unit

Triangle: Height = 3 unit and Base= 2 unit

Now, Area of rectangle

= l w

= 3 x 2

= 6 square unit

and, area of Triangle

= 1/2 x b x h

= 1/2 x 2 x 3

3 square unit

Thus, the area of figure is

= 6 + 3

= 9 square unit

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The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

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Answer:

1) 44

2) 430

3) 17

Step-by-step explanation:

1) 4 × 4 = 16, and 4 + 4 = 8.

2) The units digit is 0. Since the hundreds digit is one more than the tens digit, and since the sum of the three digits is 7, the hundreds digit is 4, and the tens digit is 3.

3) 1 × 7 = 7, and 1 + 7 = 8. The units digit is 7, and the tens digit is 1.

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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To find the inverse of a function, we switch the x and y values. So the values representing the inverse of the function in the table above are: x: 4, 2, 1, 3, 4, and y: -2, -3, 6, 7, 5.

To determine if the inverse is a function, we need to check if each input value has only one output value.

Since the original function is a function, we know that each input value has only one output value.

When we switch the x and y values to find the inverse, we need to make sure that each y value only has one corresponding x value.

Looking at the values in the table, we can see that there are two different y values (4 and -2) that both have an x value of 5.

Therefore, the inverse is not a function.

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The number of water stations on the trail, obtained using arithmetic operations are 8 water stations.

Arithmetic operations includes addition subtraction, division, and multiplication.

The length of the trail = 30 - kilometers

The distance between which runners receive water = Every 4,000 meters and at the end of the trail

The number of water stations can therefore be found, using arithmetic operations as follows;

30 km = 30 × 1,000 m = 30,000 m

Number of stations = (30,000 m) ÷ 4,000 m + 1 = 8.5

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Answer:

3n+10=3()+10

We move all terms to the left:

3n+10-(3()+10)=0

We add all the numbers together, and all the variables

3n=0

n=0/3

n=0

Step-by-step explanation:

Step-by-step explanation:

See image:

The domain of the function f(x) is given as x ≥ -9/4

The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The domain of a function is all value of x along the function.

To find the domain of f(x);

Let's write the expression in the square root to be ≥ 0

4x + 9 ≥ 0

Solve for x;

4x ≥ -9

Divide both sides by the coefficient of x;

4x/4 ≥ -9/4

x ≥ -9/4

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Answer:

135 degrees

Step-by-step explanation:

angle 3 and 7 are corresponding meaning that they are equal so we find the measure of angle 3

to do this we subtract the measure of 4 which is 55 from 180

180-55

135

hopes this helps

1 No, the table does not represent an exponential function.

2 The equation y = a² represents a parabolic function with a vertex at the origin (0,0).

1. An exponential function is a function of the form f(x) = a^x, where a is a constant greater than 0, and x is the input variable. In an exponential function, the output values (y) are the result of the input values (x) being raised to a constant power (a). In this case, the table does not represent an exponential function since there's no constant value.

However, in the given table, the values of y are not obtained by raising any constant to the power of x. Instead, the values of y are obtained by multiplying the previous value of y by a constant factor in each row. It's not a exponential Function.

2. The equation y = a² represents a parabolic function with a vertex at the origin (0,0). The equation y = a² is a quadratic function, and all quadratic functions are parabolic. This is the effect on the graph.

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Answer: .82n

Step-by-step explanation:

Add the numbers in front because they are all like terms.  1 + 1 - .18 = .82

It's like if you had 5x+2x  you can add the numbers in front to combine like terms =7x

So your answer is .82n

The new coordinates are A′(2, -2) B′(0, -4) C′(3, -6)

We are given that;

The graph

Now,

The original coordinates of ∆ABC are:

A(3, 4) B(5, 2) C(7, 5)

After applying the translation rule, we get:

A(3 - 1, 4 - 2) = A(2, 2) B(5 - 1, 2 - 2) = B(4, 0) C(7 - 1, 5 - 2) = C(6, 3)

Step 2: Apply the rotation rule to each translated vertex

To rotate a point 90° clockwise about the origin, we need to use this formula:

(x, y) → (y, -x)

we can rotate each translated vertex:

A(2, 2) → (2, -2) B(4, 0) → (0, -4) C(6, 3) → (3, -6)

Step 3: Write the new coordinates of each rotated vertex using prime notation

The prime notation indicates that these are the new coordinates after the transformation. We use A′ for the image of A, B′ for the image of B, and C′ for the image of C.

Therefore, by transformation the answer will be A′(2, -2) B′(0, -4) C′(3, -6).

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Where a number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 the number is 768.

In this case, the hundreds digit is 6, which means the number is between 600 and 699. The tens digit is 8, which is greater than 5, so we round up to the next hundred, which is 700. Therefore, the number is between 700 and 799.

We also know that when the number is rounded to the nearest hundred, it rounds to 800. This means the number is closer to 800 than to 700, and is at least 750. The ones digit is 1, which means the number is odd, and the sum of its digits is 6 + 8 + 1 = 15. This eliminates numbers that are multiples of 10 or have a sum of digits less than 15.

The only three-digit number that satisfies these conditions and rounds to 800 is 768. Therefore, the number is 768.

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a) Approximately 99.7% of Veronica's weight measurements lie within the range of 134 to 146 pounds.

b) Approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

a. According to the 68-95-99.7 rule for a normal distribution, approximately 99.7% of the data falls within 3 standard deviations of the mean. Therefore, the range for Veronica's weight measurements can be calculated as follows:

Upper bound: Mean + 3(Standard Deviation) = 140 + 3(2) = 146

Lower bound: Mean - 3(Standard Deviation) = 140 - 3(2) = 134

b. To find the percentage of her weight measurements that are less than 138 pounds, we need to calculate the z-score and then use a standard normal table or calculator to find the area under the curve to the left of that value.

z-score = (138 - 140) / 2 = -1

Using a standard normal table or calculator, we find that the area to the left of a z-score of -1 is approximately 0.1587. Therefore, approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

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The possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

Let's begin by referring to the number of hours the chemical club rents the meeting space as "t".

The reservation charge plus the additional fee for the specified number of hours will equal the total cost to rent the meeting space:

Cost in total = $19 + $4.

The chemical club has stated that they want to pay less than $51 to rent the space:

Total cost < $51

Substituting the expression for total cost:

$19 + $4t < $51

Simplifying:

$4t < $32

Dividing both sides by 4:

t < 8

Therefore, the possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

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The volume of this rectangular pyramid is equal to 1,080 cubic centimeters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 9 × 15 × 8

Volume of rectangular prism = 1,080 cubic centimeters.

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Answer:

B. the mean for brand A is higher than the mean for brand B.

Step-by-step explanation:

It's B, i know this because i did this comparing data sets exam and got a 100% on it.

Good Luck!

The statements regarding the linear functions are classified as follows:

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

Function f(x) is defined as follows:

f(x) = 2x - 5.

Hence:

For function g(x) we have than when x increases by 4, y decays by 26, hence the slope is given as follows:

m = -26/4

m = -6.5.

Hence:

y = -6.5x + b.

When x = 1, y = -4, hence the intercept b is given as follows:

b = -4 + 6.5.

b = 2.5.

Hence the function is:

g(x) = -6.5x + 2.5.

Then:

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Answer:

(-mn + 10m + 5n)

Step-by-step explanation:

We have to subtract (15 mn- 22 m + 2n) from ( 14 mn - 12 m + 7n )

(14mn - 12m + 7n) - (15mn - 22 m + 2n)

When open the parenthesis before which a negative sign is given negative sign changes all signs of each term inside.

14mn - 12m + 7n - 15mn + 22m -2m

Now we add and subtract like terms.

(-15mn + 14mn) + (22m - 12m) + ( 7n - 2n )

(-mn + 10m + 5n)

So the answer is (-mn + 10m + 5n)

Answer:

-mn + 10m+5n

Explanation:

(14mn - 12m+7n)-(15mn 22m+2n)

Remove the parentheses for addition or subtraction

14mn-12m+7n-15mn +22m - 2n

Combine like terms

-mn + 10m+5n

Answer: 50 degrees

Step-by-step explanation:

Answer:

I can solve it, but you'll have to find out, because it's your homework, if it is an independent or dependent event:

9/(9 + 15 + 20)  -->  because we want to know chances of a red pen (qty 9)

9/(24 + 20)

9/44

0.2045454..., approx. 0.2045, or 20.45%

Answer: Hello!

Step-by-step explanation:

If no one can do it, I'll try.

This scenario is an example of dependent probabilities because the outcome of the second draw depends on what happened during the first draw. Specifically, if Joseph drew a red pen during the first draw, then there are fewer red pens remaining in the bag than before the first draw. As a result, the probability of drawing a red pen during the second draw decreases relative to the initial probability, assuming all pens were equally likely to be drawn initially. If the first pull didn't remove any pens from the bag, then the second pull is an independent event, and the probability remains unchanged.

In summary, whether the second event is independent or dependent depends on how many red pens remain in the bag after the first draw.