In Exercises 21 and 22, consider the three given lines.

Line a: through the point (2,0) with a y-intercept of (0, 1)
Line b: through the point (2,0) with a y-intercept of (0,5)
Line c: through the point (2,0) with a y-intercept of (0,3)

21. Which line is most steep?
22. Which line is least steep?​

If john has a new house. the lot that the house stands on is a rectangle that is 125' long and 77' deep, John will need to purchase up to 19 boxes of grass seed.

First, we need to calculate the total area of the lot. The area of a rectangle is given by its length multiplied by its width, so:

Area of lot = 125 ft * 77 ft = 9625 square feet

Next, we need to determine the area of the portion of the lot that is not covered by the house. Since the house is located near the center of the lot, we can find the area of the rectangle that represents the space around the house and subtract it from the total area of the lot:

Area around house = (125 ft - 40 ft - 40 ft)/2 * (77 ft - 36 ft - 36 ft)/2 = 22.5 ft * 16.5 ft = 371.25 square feet

Area to be planted = 9625 square feet - 371.25 square feet = 9253.75 square feet

Now we can calculate the number of boxes of grass seed needed by dividing the area to be planted by the coverage of each box:

Number of boxes = 9253.75 square feet / 500 square feet per box = 18.51 boxes

Since you can't purchase a fraction of a box, John will need to round up to 19 boxes of grass seed.

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The power of the test by subtracting this probability from 1: Power = 0.9285. None of the given options are correct.

To find the power of the test, we need to calculate the probability of rejecting the null hypothesis when the alternative hypothesis is true (i.e., when μ = 4.5).

First, we need to calculate the critical value for the test. Since the alternative hypothesis is one-tailed (μ<5), we will use a one-tailed t-test with α = 0.05. The degrees of freedom for the test are (n-1) = 35.

Using a t-distribution table or calculator, we can find that the critical t-value for this test is -1.699.

Next, we need to calculate the test statistic for the alternative hypothesis:

t = (\(\bar{x}\) - μ) / (s / √(n))
t = (4.67 - 4.5) / (1.2 / √(36))
t = 1.5

Now, we can use a t-distribution table or calculator to find the probability of getting a t-value greater than or equal to 1.5 with 35 degrees of freedom:

P(t ≥ 1.5) = 0.0715

Finally, we can find the power of the test by subtracting this probability from 1:

Power = 1 - P(t ≥ 1.5) = 1 - 0.0715 = 0.9285

Therefore, the answer is not provided in the options.

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Answer:

2x-4x+x mph i think

Step-by-step explanation:

The solution is, the value of x is, x=10.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

from the given figure, we get,

the two triangles are similar

and, DE is the bisector of other  two sides,

so, we know from the property of  triangles, that,

DE = 1/2 * AB

we have,

DE = 5

and. AB =x

so, we get,

5 = x/2

or, x = 10

Hence, The solution is, the value of x is, x=10.

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Answer:

x = 23 y =67

Step-by-step explanation:

Since a rectangle is made up of 4 right angles you can solve y with the following equation:\(23 + y =90\)

Then to solve for x, since x, y and the right angle makes up a triangle and a triangle has 180 degrees. You can use the following equation to solve for x:

\(x + 67 + 90 = 180\)

Answer:

How many unit are they

Step-by-step explanation:

Answer:

3 tens, 2 ones, 1 tenth, 5 hundredths

Step-by-step explanation:

just look at the place and count like tens, hundred ,thousand  

Answer:

768

Step-by-step explanation:

I hope you mean this, if you don't say so

Answer:

The answer is D

Step-by-step explanation:

The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

It is given that the two functions one is the parent function \(\rm y = \sqrt[3]{-x}\) and the transformed function \(\rm y = -0.4 \sqrt[3]{-x-2}\).

It is required to find the transformation rules.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have parent function:

\(\rm y = \sqrt[3]{-x}\)

and transformed function:

\(\rm y = -0.4 \sqrt[3]{-x-2}\)

If we multiply the parent function with a negative value it will f(x) over the x axis.

By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.

After applying the transformation to the parent function:

\(\rm y = -\sqrt[3]{-x}\)

By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.

y = k f(x) and k<1, the function will be compressed by the k factor hence:

\(\rm y = -0.4\sqrt[3]{-x}\)  (after applying the second transformation)

As we can see the transformed function is subtracted by -2

By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.

After applying this transformation we get:

\(\rm y = -0.4 \sqrt[3]{-x-2}\)  which is a transformed function derived after applying the transformation to the parent function.

Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

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To ensure that they will have $115,000 in 5 years, your aunt and uncle need to put $97,215.45 into the savings account today.

To calculate the amount they need to put into the account today, we can use the formula for calculating the future value of a single sum with compound interest:

\[FV = PV \times (1 + r)^n\]

Where:

FV = Future Value

PV = Present Value (the amount they need to put into the account today)

r = Interest rate per period (3.6% per year = 0.036)

n = Number of periods (5 years)

We want to find PV, so we rearrange the formula:

\[PV = \frac{FV}{(1 + r)^n}\]

Plugging in the values:

\[PV = \frac{115000}{(1 + 0.036)^5} = 97215.45\]

Therefore, your aunt and uncle need to put $97,215.45 into the savings account today to ensure that they will have $115,000 in 5 years.

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Answer:

Step-by-step explanation:

when we find the volume of a cylinder we must know

the radius

the length of the cylinder-L

L^2=11^2+4^2

L^2= 144+16

L=√160

L=4√10 INCHES

                       = 3.14*16*4√10

                       = 3.14*64*2.23*1.41

                       = 632.192528

                       ≈632 CUBIC INCHES

Answer: 15%

Step-by-step explanation:

The Percentage decrease will be:

= Decrease in weight / Old weight × 100

= (200 - 170) / 200 × 100

= 30/200 × 100

= 15%

The Percentage decrease is 15%

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

The correct options for the given parts are as follows

(a) Two-sample t-test.

(b) x1 bar - x2 bar = 12.1 - 11.2 = 0.9

(c) p - value = 0.031

(d) The null hypothesis is rejected. There is sufficient evidence of a difference between the mean height of two cacti.

(e) The test result is statistically significant.

(f) Type I error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.

What is sample statistics?

Any number calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data obtained through random sampling, which is a random experiment, it is a random variable.

a) Since there are two independent samples and we want to compare population means. We must use: Two-sample t-test.

b) The value of the sample statistic to test those hypotheses is:

x1 bar - x2 bar = 12.1 - 11.2 = 0.9

c) This is two-tailed test. For p-value, use excel formula =TDIST(2.169,202,2).

p - value = 0.031

d) Since p-value is less than 0.05, correct option is:

The null hypothesis is rejected. There is sufficient evidence of a difference between the mean height of two cacti.

e) Since p-value is less than 0.05, correct option is:

-The test result is statistically significant.

f) Since null hypothesis is rejected, we might have been made Type I error. The correct option is:

-Type I error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.

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Answer:

ASA

Step-by-step explanation:

angle side angle because, due to vertical angles, the outer angles of both triangles are congruent, and the middle side is reflexive property

hope this helps :3

Answer:

None

Step-by-step explanation:

-18-2 would be equal to -20

-12+(-3) would be equal to -15

-10-5 would be equal to -15

0-8(-4) would be equal to 32

Is that the letter "O" or the number "0"?

Is all of this information given to you for this question here?

The answer is B i hopes this helps

Answer:

-> a slope of 3.5

Step-by-step explanation:

The smaller the slope the smaller the incline, here 3.5 > 4.6 so the 3.5 slope is shallower.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

24 cups of flour

Step-by-step explanation:

good luck

The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:

1. Identify the units sold and their respective costs:
  - Start with the units available for sale at the beginning of the year.
  - For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.

2. Calculate the cost of goods sold (COGS) for each sale:
  - Multiply the number of units sold by their respective cost.
  - This will give you the cost of goods sold for each sale.

3. Update the inventory balance after each sale:
  - Subtract the units sold from the total units available for sale.
  - Multiply the remaining units by their respective cost to get the ending inventory value.

Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

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Step-by-step explanation:

To find the theorem or postulate related to the measurement of angles in the given pair and solve for the unknown angle measures, we need to first have information about the pair of angles, such as their relationship to each other and any additional information about the angles or the lines that intersect at the vertex.

Without this additional information, it is difficult to determine the specific theorem or postulate that applies to the angles in this pair. However, we can use the given angle measures to find the value of x and then calculate the measures of each angle.

From the given measures, we have:

m greater BDC = 11x + 25 m greater ACD = 4x + 5

To find the value of x, we can set these two expressions equal to each other, since they share a common ray (CD):

11x + 25 = 4x + 5

Simplifying, we get:

7x = -20

Dividing by 7, we get:

x = -20/7

Since angle measures must be positive, we know that this value of x is not valid for our problem. Therefore, there is no solution to this problem.

In summary, without additional information about the pair of angles or lines that intersect at their vertex, it is not possible to identify the theorem or postulate that is related to their measurement. However, we can use the given measures to find the value of x and then determine the measures of each angle, which in this case does not lead to a valid solution.

Answer:

The second one

Step-by-step explanation:

(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

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Answer:

(-3,6.5)

Step-by-step explanation:

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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The percentage of value-added time in a trip to the emergency room is 15.83%.

Given the following data:

Time taken by triage nurse before assessment = 14 minutes

Average time taken for assessment by triage nurse = 5 minutes

Time taken before examination room = 79 minutes

Time taken in the examination room for vitals and notes by nurse = 11 minutes

Time taken before the doctor sees the patient = 22 minutes

Average time taken by the doctor for treatment = 17 minutes

Time taken for the nurse to come to discuss post-treatment instructions = 6 minutes

Time taken to review the instructions with the patient = 4 minutes

Let us first calculate the total time taken,

Total Time = Time before examination room + time in examination room + time after treatment + time taken by the triage nurse

Total Time = 79 + 11 + 22 + 17 + 6 + 4

                  = 139 minutes

Now, let us calculate the total time spent on assessment and treatment.

This will include the time taken by the triage nurse and the doctor.

Total Time Spent on Assessment and Treatment = Time taken by triage nurse + time taken by the doctor

Total Time Spent on Assessment and Treatment = 5 + 17

                                                                                  = 22 minutes

Now, we can calculate the percentage of value-added time as follows,

Percentage of Value-Added Time = Total Time Spent on Assessment and Treatment / Total Time * 100

Percentage of Value-Added Time = 22 / 139 * 100

Percentage of Value-Added Time = 15.83%

Therefore, the percentage of value-added time in a trip to the emergency room is 15.83%.

Rounding off this value to 2 decimal places, we get the final answer as 15.83%.

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Answer:

Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.

The number of ways that the letters of the given word can be arranged is: 108972864000 ways

Permutations are used when order/order of placement is required. Combinations are used when you only need to search for the number of possible groups and not the order/order of locations. Permutations are used for things of different nature. Combinations are used for things of a similar nature.

Now, in the given word "GENOME EXPRESSION", there are a total of 16 letters. However, some appear repeatedly and as such we see that:

E appears 4 times

N appears2 times

O appears 2 times

S appears two times

Thus:

Number of ways the letters can be arranged = (16!)/(4! * 2! * 2! * 2!)

= 108972864000 ways

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The minimum number of bricks Salah will have to buy is 4050 bricks

Given that the

So, the length of walkway plus garden, L = 40 ft + 18 ft = 58 ft. The width of walkway plus garden, W = 17 ft + 18 ft = 35 ft.

We now need to find the area of the walkway.

Area of walkway, A" = area of walkway plus garden - area of garden

= LW - lw

= 58 ft × 35 ft - 40 ft × 17 ft

= 2030 ft² - 680 ft²

= 1350 ft²

Now, since each brick is 6 inches wide and 8 inches long, the area of each brick is A' = 6 in × 8 in  = 48 in²

So, the number of bricks required, n = area of walkway/area of brick

= 1350 ft²/48 in²

= 1350 × 144 in²/48 in²

= 194400 in²/48 in²

= 4050 bricks

So, the minimum number of bricks Salah will have to buy is 4050 bricks

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