Factor the algebraic 21a +9 please this is due today

Answer:

Step-by-step explanation:

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5x - 8 = x + 27

4x = 35

x = 35/4

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Answer:

A, D and F

Step-by-step explanation:

cus they are an acute triangle because they are smaller than 90 degrees

When a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The perimeter of the square is equal to the perimeter of the rectangle.

The length of a side of the square=4x-1

The perimeter of the square=4a

Where a is the side of the square

Substitute the values in the equation

The perimeter of the square=4(4x-1)=16x-4

The length of the rectangle=2x+1

The width of the rectangle=x+2

The perimeter of the rectangle=2(l+w)

where l is the length and w is the width

The perimeter of the rectangle =2(2x+1+x+2)

=2(3x+3)

= 6x+6

A square and a rectangle have equal perimeters

16x-4=6x+6

16x-6x=6+4

10x=10

x=1

Hence, when a square and a rectangle have the same perimeters. If the length of a side of the square is 4x-1 and  the length of the rectangle is 2x+1 and the width is x+2. then the value of x=1

The complete question is

A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x+1 and the width is x+2, Write and solve an equation to find x

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The answer is that the mathematician solved 2k problems on the day he drank coffee.

Let's assume that the mathematician works for x hours a day and can solve y problems per hour. Also, the mathematician drinks some coffee and discovers that he can now solve z problems per hour. So, the mathematician works for n hours that day. We are given that:x*y = number of problems solved in a dayz * n = number of problems solved on the day he drank coffee

Then, we can write the equations:x*y = n * 2*z (he still solves twice as many problems as he would in a normal day)andx = n (he only works for n hours that day)Now, we need to simplify these equations to solve for the number of problems solved on the day he drank coffee. Here is how to do it:$$x*y = n * 2*z$$$$\frac{x*y}{x} = \frac{2*n*z}{x}$$$$y = 2 * \frac{n*z}{x}$$Since x, y, n, and z are all positive integers, we can say that the expression 2*n*z/x is also a positive integer. Therefore, we can write:$$\frac{2*n*z}{x} = k$$$$y = 2k$$where k is a positive integer.

Finally, the number of problems solved on the day he drank coffee is:y = 2k Therefore, the answer is that the mathematician solved 2k problems on the day he drank coffee.

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Answer:

35.01 cm or 35cm

Step-by-step explanation:

\(\frac{volume}{\pi r^{2} } =height\)

\(\frac{5390}{\pi 7^{2} }\)=35.01cm

Answer:

your answer is, A Population: soccer team, Sample: starting eleven player.

Step-by-step explanation:

I just took the test.

The population and the sample in the situation below is a Soccer team and starting eleven players respectively.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.

Given, The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.

Since A population is an entire group that you want to draw conclusions about. A sample is a specific group that you will collect data from. The size of the sample is always less than the total size of the population.

and The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment.

Thus in our case,

Population: soccer team

Sample: starting eleven players

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Answer:

Thx for the free points! Have a great day

Step-by-step explanation:

Answer:

Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

\(\dfrac{44 + x }{10}=5\)

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

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Answer:

The value of x is 4%

Pony will walk 78.50 feet to complete one trip around the circle.

Given that, the diameter of a circle is 25 feet.

We know that, circumference of circle = 2πr or circumference of a circle = πd.

Here,

C = 3.14×25

C = 78.50 feet

Therefore, Pony will walk 78.50 feet to complete one trip around the circle.

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Answer

30

Step-by-step explanation:

50 meters in total diver swims and 30 meters below sea level he is there.

Given that, a diver was 10 meters below sea level. He swam directly upwards to the surface. Then, he descended 30 meters below sea level.

We need to find how many meters the diver swims.

To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Now, a diver was 10 meters below sea level=-10

He swam directly upwards to the surface=10

He descended 30 meters below sea level=-30

So, -10+10-30=-30

Therefore, 50 meters in total diver swims and 30 meters below sea level he is there.

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Answer:

\(DF = 38\)

Step-by-step explanation:

Given

\(DE = 2x\)

\(EF = 2x - 6\)

\(DF = 3x + 5\)

Required

Determine EF

Since E lies on DF, then

\(DF = DE + EF\)

Substitute values for DF, DE and EF

\(3x + 5 = 2x + 2x -6\)

Collect Like Terms

\(3x -2x -2x = -6 -5\)

\(-x = -11\)

Solve for x

\(x = 11\)

Recall that

\(DF = 3x + 5\)

Substitute 11 for x

\(DF = 3 * 11 + 5\)

\(DF = 38\)

Answer:

Law of Sines

Step-by-step explanation:

Answer:

iam sorry

i don't know the answer

Answer:

Your answer would be the 60th

Step-by-step explanation:

This is your solution due to the fact that when you find the multiples of 12 and 30 you will realize that that's the first number they meet at, let me show you.

Multiples of 12 - 12, 24, 36, 48, 60

Multiples of 30 - 30, 60, 90, 120, 150

So The Least Common Denominator is 60!

Thus that is how I know that the 60th customer at the movie theater would get both items for free.

Hope This Helped!

Answer:

0^5 = x^ 2 + 18

Step-by-step explanation:

I hope am not too late

Answer:

x^1/2

Step-by-step explanation:

x^1/2 = x squared, just like

x^1/3 = \(\sqrt[3]{x}\)

Hope this helps!

Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.

Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.

When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).

For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.

This is known as constructive interference.

On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.

This is known as destructive interference.

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Answer:

0.13

Step-by-step explanation:

because you have to round up when the fourth number is from 0-4 it stays the same but when its from 5- and up it goes up one

Answer:

8x + 2y

Step-by-step explanation:

12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.

Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0

To this solve this, wrote it like this:

12x + 3y –8

-4x - y + 8

——————

8x + 2y

The normal probability plot suggests the data is approximately normally distributed. The sample standard deviation of given data is 3.13. The 95% confidence interval for the population standard deviation is (1.85, 6.28). The investment manager's desire for a population standard deviation below 6% is validated by the confidence interval.

To construct a normal probability plot, we first need to sort the data in ascending order:

6.6, 6.7, 8.7, 9.6, 10.0, 10.3, 11.3, 12.4, 12.4, 13.8, 14.9, 15.9

Then we can plot the ordered data against the expected values of a normal distribution with the same mean and standard deviation as the sample. The plot shows that the points follow a roughly straight line, which suggests that the data is roughly normally distributed.

To determine the sample standard deviation, we can use the formula:

s = sqrt[(∑(xi - x)²) / (n - 1)]

where xi is the rate of return for each year, x is the sample mean, and n is the sample size.

Sample mean:

x = (13.8 + 15.9 + 10.0 + 12.4 + 11.3 + 6.6 + 9.6 + 12.4 + 10.3 + 8.7 + 14.9 + 6.7) / 12 = 11.433

Sample standard deviation:

s = sqrt[((13.8 - 11.433)² + (15.9 - 11.433)² + ... + (6.7 - 11.433)²) / (12 - 1)]

= 3.059

Therefore, the sample standard deviation is 3.059.

To construct a 95% confidence interval for the population standard deviation of the rate of return, we can use the formula:

CI = [(n - 1) * s² / χ²(α/2, n-1), (n - 1) * s² / χ²(1-α/2, n-1)]

where n is the sample size, s is the sample standard deviation, χ² is the chi-square distribution, and α is the level of significance (1 - confidence level).

For a 95% confidence level and 11 degrees of freedom (n - 1), α = 0.05/2 = 0.025. From the chi-square distribution table with 11 degrees of freedom, we can find the critical values as follows:

χ²(0.025, 11) = 2.201 and χ²(0.975, 11) = 23.337

Plugging in the values, we get:

CI = [(12 - 1) * 3.059² / 23.337, (12 - 1) * 3.059² / 2.201]

= [1.946, 26.557]

Therefore, we can say with 95% confidence that the population standard deviation of the rate of return is between 1.946 and 26.557.

The investment manager wants to have a population standard deviation for the rate of return below 6%. The confidence interval (1.946, 26.557) does not validate this desire, as it includes values above 6%. Therefore, based on the sample data, the investment manager cannot be confident that the population standard deviation is below 6%.

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Answer:

4x^2+6x-20=0

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the given line.

And m = slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)

Line given in the graph passes through two points (-5, -1) and (-2, -3).

Slope of the line 'm' = \(\frac{-3+1}{-2+5}\)

                                 = \(-\frac{2}{3}\)

Therefore, equation of the line passing through(-5, -1) and slope of the line = \(-\frac{2}{3}\) will be,

y - (-1) = \(-\frac{2}{3}[x-(-5)]\)

\(y+1=-\frac{2}{3}(x+5)\)

\(y=-\frac{2}{3}x-\frac{10}{3}-1\)

\(y=-\frac{2}{3}x-\frac{13}{3}\)

Option (2) will be the answer.

The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

Now, we multiply each digit by the corresponding power of 16:

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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Answer:

2,4,6,1,3

Step-by-step explanation:

Answer:

1,2,3,6

Step-by-step explanation:

Given the following number:

Let's write it in a fraction or mixed number in the lowest terms.

Since the decimal is 0.14, putting it into fraction will be:

Simplifying,

258 is a whole number, thus, it will become a mixed number, we just add 258 and 7/50.

The answer is, therefore:

Step-by-step explanation:

To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

             1. Vertical angles are congruent

             2. Bats are mammals that can fly.

             3. You are a good citizen when you obey rules and regulations.

             4. A number is divisible by 10 if its last digit is a 0.

             5. 3x + 6 = 21, because x = 5​

Proof -

Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

Given statement - A number is divisible by 10 if its last digit is a 0.

Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

Conclusions - Its last digit is 0.

5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5