Factor 24m - 12p 72 to identify the equivalent expressions. choose two answers Choices: A.6(4m 2p 12) B.2(12m-6p 36) C.12(2m-p 6) D.24(m-12p 3)

Answer:

am not an expert but i think is D

Answer:

sm like this hope this helps your welcome

Answer:

13

Step-by-step explanation:

12^2+5^2=x^2

144+25=x^2

169=x^2

Take the square root of 169 and get 13

Answer:

x = -6 y = 3

Step-by-step explanation:

Adding the two equations and you get, -3x-3y + 3x+8y= 6+9

=> 5y = 15

=> y = 3

Plug y in each equation

-3x -3(3) = 9

-3x -9 = 9

-3x = 18

x = -6

3x + 8(3) = 6

3x +24 = 6

3x = -18

x = -6

Answer:

$2,825.00

Step-by-step explanation:

First, I found out what 6.5% of 2,500 is, so 6.5% x 2,500 = 162.5 . Then I did 162.5 x 2, which equals 325. I then added 325 to 2,500 and got 2,825.

Pythagorean theorem tells us how the side lengths of right triangles are related.

The Pythagorean theorem, also known as the Pythagorean identity, states that the sum of the squares of the lengths of the two sides forming the right angle is equal to the square of the length of the hypotenuse in any right triangle (the side opposite the right angle). In other words, the Pythagorean theorem can be used to calculate the length of the hypotenuse given the lengths of the two sides of a right triangle.

This relationship can be written as the equation:

\(a^2 + b^2 = c^2\)

where a and b are the lengths of the legs, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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Answer:

48

Step-by-step explanation:

The margin of error with 80% confidence interval is 2.099

Given that,

A straightforward random sample of 25 observations is taken from a population that is normally distributed and has a standard deviation of 8.2.

To find : The margin of error with 80% confidence

Margin of Error : The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here we have

n=25,σ=8.2

For 80% confidence interval, the critical value of z is 1.28. So requried margin of error is

ME=\(Z_{c}\cdot \frac{\sigma}{\sqrt{n}}\)=1.28\(\cdot \frac{8.2}{\sqrt{25}}\)=2.0992

Thus, with 80% confidence, the error margin is 2.099.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

We know that function f(x) is given by

where the slope is the coefficient of the variable x, that is, the slope,m, is

Since g(x) is given by

we have that

where the slope is equal to 6, in other words

Therefore, the slope of the graph of g(x) is 6 times the slope of the graph of f(x).

Since the y-intercept of f(x) is zero, then the y-intercept of g(x) is zero too. Then, the answer is: the y-intercept does not change.

Scroll down for answer!

Step-by-step explanation:

123.51/2.3 = 53.7

Two options = 53.7 or 53.1

The dimensions of the dumpster that will minimize its surface area are approximately 2.924 feet by 5.848 feet by 3.33 feet.

To find the dimensions of the dumpster that will minimize its surface area, we need to use optimization techniques. Let's start by defining our variables:

Let x be the width of the dumpster (in feet)
Then, the length of the dumpster is 2x (twice as long as it is wide)

Let V be the volume of the dumpster (in cubic feet)
Then, we know that V = x * (2x) * h (where h is the height of the dumpster)

The problem states that the dumpster must hold 100 cubic feet of debris, so we can write:

x * (2x) * h = 100
h = 100 / (2x^2)

Next, we need to find the surface area of the dumpster. This is given by:

A = 2lw + 2lh + 2wh

Substituting in our expressions for l and h, we get:

A = 2(x * 2x) + 2(x * 100 / 2x^2) + 2(2x * 100 / 2x^2)
A = 4x^2 + 200/x

To minimize the surface area, we need to take the derivative of A with respect to x and set it equal to zero:

dA/dx = 8x - 200/x^2 = 0
8x = 200/x^2
x^3 = 25
x = 25^(1/3) = 2.924 feet (rounded to 3 decimal places)

Therefore, the width of the dumpster is approximately 2.924 feet and the length is twice as long, or 5.848 feet. To find the height, we can use our expression for h:

h = 100 / (2x^2) = 3.33 feet (rounded to 2 decimal places)

So, the dimensions of the dumpster that will minimize its surface area are approximately 2.924 feet by 5.848 feet by 3.33 feet.

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True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular

Step-by-step explanation:

just because

Probability or p-vale that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires is equals to zero if the manager is correct.

We have data of an operation manager at a tire manufacturing company.

Mean mileage of a tire, \( \mu\)

= 37,014 miles

standard deviation, \( \sigma\)

= 4617 miles.

Sample size, n = 56

We have to determine the probability that the sample mean would differ from the population mean by less than 221 miles. Using Z-score formula in normal distribution, \(\small z= \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}},\)

Plugging all known values in above formula, \(z = \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}\)

= 59.634

\(P( \bar x < 221) = P ( \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}} < \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}) \\ \)

=> P ( z < 59.63) = P( \bar x < 221)

Using the Z-distribution table, probability value is equals to 0. Hence, required probability is zero.

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Answer:

i have 87%

Step-by-step explanation:

Answer:

That mean you need aleast to make C's to pass

Jesse and Filipe are desk workers. In a day, Jesse burns about 480 more calories than Filipe.

A calorie is a unit of energy. The energy that food or drink provides to the body is measured in calories. The number of calories we eat and drink must equal the energy we consume through daily activity for weight maintenance.

A desk job is a job that requires sitting at a desk and working with a computer. It is regarded as a sedentary activity. When it comes to sitting at a desk, some individuals move about and stand more than others.

On average, a sedentary person burns about 1.2-1.4 times their basal metabolic rate (BMR) per day. BMR is the amount of energy (in calories) that the body needs to perform basic functions like breathing, circulating blood, and maintaining organ function while at rest.

So, if we assume that Jesse is more active than Filipe, we can estimate that Jesse burns about 1.4 times their BMR per day, while Filipe burns about 1.2 times their BMR per day.

Let's say that Jesse's BMR is 1800 calories per day, and Filipe's BMR is 1700 calories per day. Then we can estimate:

Jesse burns 1.4 x 1800 = 2520 calories per day

Filipe burns 1.2 x 1700 = 2040 calories per day

The difference in calorie burn between Jesse and Filipe is:

Jesse burns 2520 - 2040 = 480 more calories per day than Filipe

Therefore, Jesse burns about 480 more calories per day than Filipe due to his greater movement and standing.

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Answer:

1. independent 2. dependent

Step-by-step explanation:

The sum of 7 terms of the sequence in terms of m is S=7m.

The given sequence is an arithmetic sequence, which is a sequence of numbers in which each term after the first is formed by adding a constant, d, to the preceding term. This constant, d, is referred to as the common difference.

Let the first term of the sequence be a and the common difference be d. Then the sequence of numbers can be expressed as a, a + d, a + 2d, a + 3d, a + 4d, a + 5d, a + 6d.

The sum of the seven numbers can be expressed as:

S = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) + (a + 5d) + (a + 6d)

S = 7a + 21d

Since m is the middle term of the sequence, we know that the general form for m is a + 3d.

Substituting a + 3d for m, we get:

S = 7a + 21d

S = 7(a + 3d)

S = 7m

Therefore, the sum of 7 terms of the sequence in terms of m is S=7m.

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The value of y is 1/ 2

The slope of a line can be defined as a number that describes;

Slope of a line is also called the gradient of a line.

It is also known as the ratio of the rise to the run, or the quotient of  the riser to the run.

The formula for slope is expressed as;

Slope = y2 - y1/ x2 - x1

Now, substitute the values

-2/ 7 = 4 - y/3 - 10

Find the ratio

-2/ 7 = 4 - y/-7

cross multiply

14 = 7(4 - y)

expand the bracket

14 = 28 - 7y

collect like terms

14 - 28 = -7y

-14 = -7y

Make 'y' the subject of formula

y = 1/2

Thus, the value of y is 1/ 2

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3 hours  = 180 minutes

So, 24:180.

Simplified: 1:5

Hope this helps; have a great day!

Answer:

well how many sides are there in one? then multiply it by the number of the one side to how many sides

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

Equilateral means all the sides are the same

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

The final sales tax price is $6.30.

Step-by-step explanation:

We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.

$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.

70 x 1.09 = 76.3

Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)

76.3 - 70 = $6.30

Therefore, the final price of the sales tax is $6.30.

Hope this helps! :)

Answer:

43446

Step-by-step explanation:

52 weeks in an year

835.5 × 52 = 43446

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Answer: x=6, y=-6

Step-by-step explanation:

-4x + -2y = -12 (a)

4x + 8y = -24 (b)

(a)+(b)= -4x+4x+8y+(-2y)=-12+(-24)

                                 6y= -36

                                   y=-6

put y=-6 into formula (a)

-4x+12=-12

-4x= -24

x=6