5 Sherie makes a canvas frame for a painting using stretcher bars. The rectangular

painting will be 12 inches long and 9 inches wide. How can she use a ruler to make

sure that the frame's corners will be right angles?

Help

Answer: If the figure is rotated 90 degrees counter clockwise about the origin, ... Triangle LMN has vertices L(-1,4), M(-2,4), and N(-1,-1).

Step-by-step explanation:

90 Degrees

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

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There are 5,760 ways to arrange the books on the bookshelf.

A permutation is an ordered arrangement of objects, and it can be calculated as follows:

ⁿPₓ = n! / (n - x)!

where n is the total number of objects and r is the number of objects that we are arranging.

To determine the total number of ways in which we can arrange the books on a bookshelf, we need to first calculate the total number of possible arrangements. We can do this by using the fundamental principle of counting, which tells us that the total number of possible arrangements is equal to the product of the number of ways in which each book can be arranged.

Therefore, the total number of possible arrangements can be calculated as follows:

Total number of possible arrangements = Number of ways to arrange math books × Number of ways to arrange history books × Number of ways to arrange science books

In our case, we have 4 math books, 5 history books, and 2 science books, so we can calculate the number of permutations for each type of book as follows:

Number of ways to arrange math books = ⁴P₄ = 4! / (4-4)! = 4! / 0! = 24

Number of ways to arrange history books = ⁵P₅ = 5! / (5-5)! = 5! / 0! = 120

Number of ways to arrange science books = ²P₂ = 2! / (2-2)! = 2! / 0! = 2

Now, we can substitute these values in the formula for the total number of possible arrangements:

Total number of possible arrangements = 24 × 120 × 2 = 5,760

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answer:

{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}

Step-by-step explanation:

Switch x and y in each ordered pair.

The inverse relation of {(-3, -20), (-1, -12), (0, -8), (1, -4), (3, 4)} is

{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}

Answer:

The race must be up to 29 meters for Dhvan to win.

Step-by-step explanation:

Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

45 / (2.5 - 1) = X

45 / 1.5 = X

30 = X

Therefore, the race must be up to 29 meters for Dhvan to win.

Answer:

3231360

Step-by-step explanation:

5280 x 612 equals 3231360

The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.

As per the given question,

A fisherman can clean a fish according to a Poisson process with a rate of 1 every 20 seconds.

Let X be the time taken by the fisherman to clean a single fish.

The rate of the Poisson process is λ = 1/20 per second.

So, the mean of X is μ = E(X) = 20 seconds and the variance of X is σ\(-^{2}\) = Var(X) = 400 \(s^{2}\).

Now, the time taken by the fisherman to clean n fishes, \(Y_{n}\), can be modeled by a gamma distribution with parameters n and λ, i.e., \(Y_{n}\) ~ Gamma(n,λ).

The mean of \(Y_{n}\) is

μ' = E(\(Y_{n}\)) = n/λ seconds

and the variance of \(Y_{n}\) is

σ'\(-^{2}\) = Var(\(Y_{n}\)) = n/λ\(-^{2}\) \(s^{2}\).

By the central limit theorem, \(Y_{n}\) can be approximated by a normal distribution with mean μ' and variance σ'^2/n, i.e.,\(Y_{n}\) ~ N(μ',σ'\(-^{2}\)/n).

So, the time taken by the fisherman to clean 6 fishes, \(Y_{6}\), can be approximated by a normal distribution with mean

μ' = E(\(Y_{6}\)) = 6/λ = 120 seconds

and

variance σ'\(-^{2}\)/n = Var(\(Y_{6}\))/6 = 100/6 \(s^{2}\).

The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts can be calculated as follows:

Z\(^{1}\) = (103 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = -1.15

Z\(^{2}\) = (139 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = 1.15

Using the standard normal distribution table or calculator, the probability can be found as:

P(-1.15 < Z < 1.15) = P(Z < 1.15) - P(Z < -1.15) = 0.8749 - 0.1251 = 0.7498

Therefore, the probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.

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Answer:

P(outcomes 2) = 0.584

P(outcome 0) = 0.412

Expected value = 1.164

Step-by-step explanation:

Given the following :

Percentage success of field goal attempt made during a game = 58.2%

Therefore, probability of success = 58.2 / 100 = 0.582

Probability of failure = 1 - P(success)

P(failure) = 1 - 0.582 = 0.412

Upon a successful goal attempt made, 2 points is scored while a miss or failure earns 0 point.

Therefore, Expected value of each of Shaquille O'Neal's goal attempt is:

(2 × 0.582) + (0 × 0.412)

1.164 + 0 = 1.164

Therefore :

P(outcomes 2) = 0.584

P(outcome 0) = 0.412

Expected value = 1.164

1. Using the scale of  2cm = 2m the scale factor is

2. And a map has a scale of 4in =3ft the scale factor is

Information gotten from the question

1. A map has a scale of 2cm =2m

2. And a map has a scale of 4in=3ft

Scale factors refer to the amount or the factor the image on a map was increased or reduced in comparison with the actual dimension of the image

A map has a scale of 2cm =2m

conversion of units

2m = 200cm

so if

2cm represents 200cm

the scale factor is 1/100

A map has a scale of 4 in = 3 ft

conversion of units

3ft = 36 in

so if

4 in represents 36 in

the scale factor is 1/9

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A 60-minute video at 40 frames per second requires approximately 288 GB of video storage.

Total frames = frame rate \(\times\) duration

Total frames = 40 frames/second \(\times\) 60 minutes \(\times\) 60 seconds/minute

Total frames = 144,000 frames

Total storage = Total frames \(\times\) size of a single frame

Total storage = 144,000 frames \(\times\) 2MB/frame

Total storage = (144,000 frames \(\times\) 2MB/frame) / 1024 MB/GB

Total storage = 288,000 MB / 1024 MB/GB

Total storage ≈ 288 GB

Therefore, the correct answer is approximately 288 GB.

Note: The complete question is:

If a single image requires 2MB, then at 40 frames per second, 60 minutes video requires how many GB?

288 GB

180 GB

355 GB

215 GB

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Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

Answer:

ok so the answer is:

6x + 4y= 4   --->  y = -3/2x + 1

12y = -3x + 4  ---> y = -1/4x + 1/6

happy to help!

Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.

The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:

P(X = 7) = (0.95)^6 x 0.05 = 0.0368.

0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

WAT! What diagram???

Step-by-step explanation:

Answer: No, because the center pod is where the medians meet

Answer:

Step-by-step explanation:

\(9x6x12\)= 648 the length(12m), width(6m), and height(9m) that all i can give you for now because this got me losing brain sells

Answer:

for the first question the answer is 3

for the second question the answer is 9

Step-by-step explanation:

12/4=3, 6/2=3, 9/3=3

8+8+12+12+6+6 = 52 & 108 + 108 + 72 + 72 + 54 + 54= 468

468 / 52 = 9

Answer:

Step-by-step explanation:

The probability is represented by the following equation:

Then, if the 52-card deck is represented as:

If the first draw was a queen, the probability to get a jack:

Answer:

x=0.875

Step-by-step explanation:

3x-6=2-5x

Add 6 on both sides (6+2)

2x=8-5x

Add 5x on both sides

7x=8

Divide 7 from both sides

x=0.875

The probability of P(2 | 2 of hearts) is 1/51, P(heart | 2 of hearts) is 12/51, P(club | 2 of hearts) is 13/51 and P(9 | 2 of hearts) is 4/51.

Since Sara did not replace the first card, there are now only 51 cards left in the deck, and only one of them is the 2 of hearts. Therefore, the probability that the second card is another 2 is

P(2 | 2 of hearts) = 1/51

After drawing the 2 of hearts, there are now 12 hearts left in the deck out of 51 cards. So the probability that the second card is another heart is

P(heart | 2 of hearts) = 12/51

Similarly, there are 13 clubs left in the deck out of 51 cards. So the probability that the second card is a club is

P(club | 2 of hearts) = 13/51

There are four 9s left in the deck out of 51 cards. So the probability that the second card is a 9 is

P(9 | 2 of hearts) = 4/51

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Step-by-step explanation:

one side.

as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.

the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.

so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.

Answer:

2(h-8)-h=h-16

2(h-8)=h+h-16

2(h-8)=2h-16

2(h-8)=2(h-8)

h-8=h-8

h-h=8-8

0=0 so their can be infinite value of h.

hence c is correct

we can put in place of anything but answer will be zero.

Answer:

C h= infinitely many solutions

Step-by-step explanation:

when you replace h with any number it is true

say h= 3

2(3-8) - h = h-16

2(-5) - 3 = 3 - 16

-10 - 3 = -13

-13 = -13

using distributive property:

2h-16-h = h-16

combine like terms

h-16=h-16

it is the same expression on both sides of the equal sign

hope that helps!

Answer: first one is 3, second is 6 third is 1 unit left, 2units up

Step-by-step explanation:

The transformation of ΔRST by a third, is a contraction, such that the

coordinates of point R from the center of dilation is reduced.

The correct responses are;

Reasons:

The dilation of ΔRST with the rule \(D_{T, \ 1/3} \, (x, \, y)\), requires that we find a third

of the rise and run of the vertices from the center of dilation as follows;

The run;

The rise;

The coordinates of R' are

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Answer:

A ,D , F

Step-by-step explanation:

A) x-3=0 , x=3

B 1+x=2 , x=2-1=1 , x=1

C 9-x=3 , x=9-3=6 , x=6

D) 6=2x , x=6/2=3 , x=3

E (1/5)x=3 , x=3*5=15 , x=15

F) x^2=9 x=√9 , x=3

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

Vote brainliest!

The amount of $27,446.13 represents the total interest paid on a trailer loan of $24,000 over a period of eight years with an interest rate of 10%.

To calculate the total interest paid, we can use the formula:

Interest = Principal * Rate * Time.

Given that the principal amount (loan) is $24,000, the interest rate is 10%, and the time period is eight years, we can substitute these values into the formula.

Interest = $24,000 * 0.10 * 8

= $19,200

However, the total interest paid is given as $27,446.13, which is higher than the calculated interest. This additional amount could be due to compounding interest or additional fees associated with the loan.

In conclusion, they arrived at the amount of $27,446.13 by calculating the interest based on the given principal, interest rate, and time period.

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Answer:

10,000

Step-by-step explanation:

Tbh this was pretty simple. If he makes twice the money as you, he pays twice as much too. Meaning he makes 40k a year and pays 10k for taxes

the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

The t-score for a 99.8% confidence interval with a sample size of 5 can be found using a t-distribution table or calculator.

Since we have a sample size of 5, the degrees of freedom (df) will be n - 1 = 4.

From the t-distribution table or calculator, the t-score for a 99.8% confidence interval with 4 degrees of freedom is approximately 4.604.

Therefore, the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

the complete question is :

what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?

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