*
A rectangle is formed by plotting four points, as shown below. What is the length of side
BC?
AL
JB
10
9
8
7
6
A(2, 9)
B(8,9)
C(8,4)
D(2, 4)
5
D
с
3
2
1
0
X
0 1 2 3 4 5 6 7 8 9 10
Done

The height of the telescope of 1 meter and width of 20 meters gives a distance of the focus from the vertex of 25 meters.

Given that the vertex is at the origin, we have;

(h, k) = (0, 0)

The equation of a parabola is presented as follows;

(x - h)² = 4•p•(y - k)

x² = 4•p•y

When x = 10, y = 1

Therefore;

p = 10² ÷ 4 = 25

The focus of the parabola = (h, k + p)

Which gives;

The focus of the parabola = (0, 0 + 25) = (0, 25)

The distance of the focus from the vertex is therefore;

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We can use fractions and the information that the length of the base is 18.3 feet to find the solution to our problem.

Fractions are used to represent the parts or elements of a whole or a set of items. A fraction is made up of two parts - the numerator and the denominator.

The numerator is the number at the top of the fraction line and indicates how many equal parts were taken from the total or collection. The denominator is the number at the bottom of the fraction line and represents the total number of identical objects in the collection or the number of equal sections that the whole is divided into.

There are three ways to express a fraction: as a fraction itself, as a percentage, or as a decimal. Each of these three representation methods will be examined.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equal area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x² \sx² = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Complete question:

The option that match the range of the graphed function are

b. 1

c. 2

d. -4

e. 3

f.  -2

In geometry, the term "range" typically refers to the set of all possible values that a function or a variable can take. This is is the output variables. they are usually shown in the y axis

It represents the output values of a function or the values that a variable can attain within a given context.

For the graph, viewing from the range axis, the solid dot starting at point -2 and 2 makes 2 to be part of the range

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Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

Answer:

4.667

Step-by-step explanation:

2/3*7=4.667 (if you need decimal notation)

If you need a mixed number:

4+2/3:-)

I hope this helps!

\(- RosalindCordelia\)

Answer:

(-4,5)

Step-by-step explanation:

-8-(-6)=2

3-1=2

-8+2=-6

1+2=3

-6+2=-4

3+2=5

(-4,5)

The coordinates of B are are (-4, 5).

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Given that, the midpoint of AB is M(-6, 3) and the coordinates of A are (-8, 1).

The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]

Let coordinate of B be (p, q).

Substitute (x, y)=(-6, 3) and (x₁, y₁)=(-8, 1) in midpoint formula, we get

(-6, 3) =[(-8+p)/2, (1+q)/2]

(-8+p)/2 =-6 and (1+q)/2=3

-8+p=-12

p=-4

(1+q)/2=3

1+q=6

q=5

So, (p, q) =(-4, 5)

Therefore, the coordinates of B are are (-4, 5).

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The approximate value of x if the two areas are equal is (c) x = 0.86

Given that

Rectangle = 3x - 1 by x + 6

Circle, radius = x + 1

The area of the rectangle is

Area = (3x - 1)(x + 6)

The area of the circle is

Area = 22/7 * (x + 1)^2

When the areas are equal, we have

22/7 * (x + 1)^2 = (3x - 1)(x + 6)

Using a graphing tool, we get

x = 0.86

Hence, the value of x is 0.86

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Answer:

It's Number A.

Step-by-step explanation:

It is number A because she walks 15 miles per hour, the ratio would be

hours - miles.

So, it means there are 15 miles to 4 hours.

==========================================

Work Shown:

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

f ' (x) = 3x^2 - 2x + 1

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

f ' (2) = 9

In step 2, I used the power rule \(\frac{d}{dx}x^n = nx^{n-1}\)

Answer:

the time is the independent quantities and the dependent one is the mass of the turkey

Step-by-step explanation:

the reason is that the mass is the one determining the time but the time per pound is not going to change their for you can say with confidence that this is the answer.  

  hope you can learn from this response

Answer:

To find the x-intercept of the line y = (1/5)x + 3, we need to set y to zero and solve for x, since the x-intercept is the point where the line crosses the x-axis.

0 = (1/5)x + 3

Subtracting 3 from both sides:

-3 = (1/5)x

Multiplying both sides by 5:

-15 = x

Therefore, the x-intercept of the line y = (1/5)x + 3 is at the point (-15, 0).

Answer:

Step-by-step explanation:

well remember that the equation format is y=mx+b

y=2/3-2

Answer:

y=2/3x-2

Step-by-step explanation:

The Number of biology books is 113 and the number of sociology books is 339 books.

Based on the information given, let the number of biology books = b

The number of sociology = 3 × b = 3b

Therefore, the equation will be illustrated as:

b + 3b = 452

4b = 452

Divide

b = 452/4

b = 113

Number of biology books = 113

Number of sociology books = 3 × b

= 3 × 113

= 339 books

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The amount of the annual depreciation has been $90.

The statement provides us with the following data:

The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.

Yearly depreciation = (Original cost - Depreciated value) / Number of years

Yearly depreciation = ($810 - $450) / 4

Yearly depreciation = $360 / 4

Yearly depreciation = $90

Therefore, the amount of yearly depreciation for the table saw is $90.

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$25,000 of Geoffrey's income is subject to the net investment income tax.

The net investment income tax applies to certain types of income, including rental real estate income, and is calculated based on an individual's modified adjusted gross income (MAGI) and filing status. In the case of Geoffrey, his rental real estate income of $25,000 is subject to the net investment income tax.

To calculate the net investment income tax, we need to determine Geoffrey's MAGI. His total income for the year consists of $25,000 in rental real estate income and $180,000 in wages, totaling $205,000. Since he has no adjustments to income, his MAGI is equal to his total income of $205,000.

Therefore, the amount of Geoffrey's income subject to the net investment income tax is $25,000.

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According to the table, Sadie's total pay for selling 3 computers can be found by looking at the row where x = 3. The corresponding value in the P column is $60, which means Sadie would make $60 in total pay on a day in which she sells 3 computers.

The table shows a linear relationship between the number of computers sold and Sadie's total pay. The base pay amount is $30, which is the y-intercept of the linear function. The commission rate is $10 per computer sold, which is the slope of the function. This means that for every computer Sadie sells, she earns an additional $10 in commission. To find Sadie's total pay for any given number of computers sold, you can use the equation P = 10x + 30, where x is the number of computers sold and P is the total pay. Therefore, if Sadie sells 3 computers, her total pay would be 10(3) + 30 = $60.

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Answer:

He cannot save $5 when he is buying something instead of making it himself.

Step-by-step explanation:

He makes $10 from lawn mowing and spends $5 on Taco Bell. He has $5 left.

If he made is lunch, He would have had $10 dollars.

Andrew's argument is flawed because he is not considering all of the costs and benefits associated with his decision to go to Taco Bell instead of preparing his own meal.

An argument is a collection of claims, the premises of which are provided in support of another statement, the conclusion.

There are a few problems with Andrew's argument.

First, he is assuming that the only cost of preparing his own meal is the price of the ingredients. However, there are also opportunity costs associated with preparing his own meal, such as the time he spends making it and the opportunity to do something else during that time (such as study for his exam).

Second, Andrew is assuming that he would have spent the same amount of money on ingredients as he did on his meal at Taco Bell. However, it is possible that the ingredients he would have used to make his own meal would have cost less than $5, in which case he would not have saved as much money as he thinks.

Finally, Andrew is assuming that he would have spent the same amount of time preparing his own meal as he did going to Taco Bell. However, it is possible that it would have taken him longer to prepare his own meal, in which case the opportunity cost of his time would have been even higher.

Overall, Andrew's argument is flawed because he does not evaluate all of the expenses and advantages of his decision to eat at Taco Bell instead of cooking his own dinner.

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Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

The rate at which the shadow of the man is increasing in length is 1/5 m/s.

We can solve this problem using similar triangles. Let x be the length of the shadow, and let y be the distance between the man and the base of the lamppost. Then, we have the following equation:

(1.4 + x)/y = 1/5

Solving for x, we get:

x = (y/5) - 1.4

Differentiating both sides with respect to time t, we get:

dx/dt = (1/5) dy/dt

We are given that dy/dt = 1 m/s, so substituting that in, we get:

dx/dt = (1/5) m/s

Finally, we are asked for the rate at which the shadow length is increasing, which is just dx/dt. Thus, the rate is (1/5) m/s.

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As currently the company is producing 4 dresses and 10 hats when a customer orders 4 dresses, the opportunity cost of filling the new order of 4 dresses is 8 hats sacrificed.

The production possibilities frontier (PPF) represents the various combinations of two goods that a company can produce given its available resources. In this case, the company can manufacture dresses and hats, and the PPF shows the different daily combinations of dresses and hats it can produce with its current resources.

Given the combinations provided, we can observe that as the company produces more dresses, it has to sacrifice the production of hats. The opportunity cost represents the value of the next best alternative that is forgone when a decision is made. In this scenario, the opportunity cost of filling the new order of 4 dresses is the number of hats sacrificed.

From the given combinations, we can see that when the company produces 4 dresses, it manufactures 18 hats. Therefore, the opportunity cost of filling the new order of 4 dresses is 18 - 10 = 8 hats sacrificed. This means that by choosing to produce 4 dresses, the company gives up the production of 8 hats, which represents the opportunity cost in terms of hats.

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The image of x = 2 under the transformation w = 1/z is w = 1/2.

To find the image of x = 2 under the transformation w = 1/z, we need to substitute x = 2 into the equation w = 1/z and solve for w.

Let's proceed with the calculation:

Given that w = 1/z, we can express z in terms of x:

z = x

Substituting x = 2, we have:

z = 2

Now, we can find w by taking the reciprocal of z:

w = 1/z = 1/2

Therefore, the image of x = 2 under the transformation w = 1/z is w = 1/2.

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When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.

First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.

Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x

So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.

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In the formula for confidence interval; CI = X ± Z(s/√n)

what is Z95% ?

Answer:

>> Z95% means critical z value for 95% Confidence level.

>> Z95% = 1.96

Step-by-step explanation:

The formula for confidence interval is given as;

CI = x¯ ± Z(s/√n)

Where:

x¯ is the mean

Z is the critical value for a particular %CL

s is standard deviation

n is sample size

Thus, Z95% means critical z value for 95% Confidence level.

From tables, the z-value for a confidence level of 95% is 1.96

Answer:

The answer is 2 NOT 3.  Ignore the answer listed above as 3. It is incorrect.

Step-by-step explanation:

Answer:  10 cupcackes with chocolate and 30 cupcakes without chocolate

Answer:

10

Step-by-step explanation:

25% = 1/4 = a quarter. A fourth of 40 is 10. This means that 10 muffins have chocolate as one of their ingredients. Another way to do this is to times 40 by 0.75 and subtract your answer from 40.

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Lengths of time it takes for new light bulbs to burn out are an example of continuous numerical data type.

Quantitative information that can be measured precisely and that can take on any value within a range is known as continuous numerical data. Measurements of length, time, weight, temperature, and many other quantifiable physical qualities are examples of continuous numerical data.

Continuous numerical data can have any value as long as it falls within a specified range, and using mathematical operations like addition, subtraction, multiplication, and division, it is possible to compare and analyze the numbers.

Since it alludes to a continuous range of precise numerical values. The duration of time in this scenario is expressed in hours, minutes, or seconds and can have any value within a specific range, for example, 0.5 hours, 1.25 hours, 2.75 hours, and so on.

Numerical data types like float and decimal can be used to represent continuous numerical data.

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The value of x is 7 and the value of y is 37. These values of x and y results in congruence.

For the two triangles, Δ LMN and Δ PQR,

Side LM = Side PQ,

Side LN = Side PR

Side MN = Side QR

⇒ Δ LMN and Δ PQR are congruent by (S.S.S : side side side) property

Since both the triangles are congruent to each other. There corresponding angles will be equal.

i.e. ∠ L = ∠ P, ∠ N = ∠ R and ∠ Q = ∠ M.

⇒ ∠ L = ∠ P

⇒ 3x + 24 = 8x - 11

⇒ 24 + 11 = 8x - 3x

⇒ 5x = 35

⇒ x = 7

In Δ PQR, sum of all angles is 180°

⇒ ∠P + ∠Q + ∠R = 180°

⇒ (8x - 11)° + 84° + ∠R = 180°

⇒ (8×7 - 11)° + 84° + ∠R = 180°

⇒ 45° + 84° + ∠R = 180°

⇒ 129° + ∠R = 180°

⇒ ∠R = 180° - 129° = 51°

We know that ∠N = ∠R

⇒ (2x + y) = 51

⇒ (2×7) + y = 51

⇒ y = 51 - 14 = 37

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