a rectangular persian carpet has a perimeter of 232 inches. the length of the carpet is 30 inches more than the width. what are the dimensions of the carpet?

Answer:

15=2.00x+1.50y

Step-by-step explanation:

Answer:

18 bags

Step-by-step explanation:

We need to find the greatest common factor

Break each number into its prime components

54 = 9*6 = 3*3*3*2

36 = 6*6 = 3*2*3*3

Find the common terms

3*3*2

18

The greatest common factor is 18

She can make 18 bags

It will contain  3 stickers and 2 pencils

96% confidence interval for the population mean life of light bulbs produced by the electrical firm to be between 747.63 and 812.37 hours. This can be answered by the concept of standard deviation.

To calculate the confidence interval, we first need to determine the standard error of the mean, which can be calculated using the formula:

Standard Error of Mean = (Standard Deviation of Population) / sqrt(Sample Size)

In this case, the standard deviation of the population is given as 40 hours, and the sample size is 30. Thus, the standard error of the mean can be calculated as:

Standard Error of Mean = 40 / sqrt(30) = 7.32

Next, we need to find the critical value of t for a 96% confidence level with 29 degrees of freedom (n-1). Using a t-distribution table or calculator, we find this to be 2.048.

Using these values, we can calculate the confidence interval using the formula:

Confidence Interval = Sample Mean +/- (Critical Value * Standard Error of Mean)

Substituting the given values, we get:

Confidence Interval = 780 +/- (2.048 * 7.32) = 780 +/- 15.02

Therefore, the 96% confidence interval for the population mean life of light bulbs produced by the electrical firm is between 747.63 and 812.37 hours. This means we can be 96% confident that the true mean life of all light bulbs produced by the firm falls within this interval.

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Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

Additional comment

The distribution of mass within the earth also affects your weight.

No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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Answer:

Squash plant.

Step-by-step explanation:

I'm not sure how to explain, but if you divide 9 by 3, you get 3. There are 3 squash plants, so that's the answer. You could also write it as a ratio...

9:3

3:1

I'm not exactly sure how to explain the ratio part either, but I hope it helped at least a little bit...have an amazing day :3

From the composite functions, gog^-1(-3) = 3.

Finding the inverse of g(x):

Let y = g(x)

Then, we can solve for x in terms of y:

y = (x + 7)/(1 - x)

y(1 - x) = x + 7

y - yx = x + 7

y - 7 = x + yx

y - 7 = x(1 + y)

x = (y - 7)/(1 + y)

So, g^-1(x) = (x - 7)/(1 + x)

Now, we can find the composite functions:

gog^-1(x) = g[(x - 7)/(1 + x)]

= [(x - 7)/(1 + x) + 7]/[1 - (x - 7)/(1 + x)]

= [(x - 7) + 7(1 + x)]/[1 + x - (x - 7)]

= (8x)/8

= x

Therefore, gog^-1(x) = x.

g^-1og(x) = g^-1[(x + 7)/(1 - x)]

= [(x + 7)/(1 - x) - 7]/[1 + (x + 7)/(1 - x)]

= [(x + 7 - 7 + x)]/[1 - x + 7 + x/(1 - x)]

= (2x)/(2 - x)

Therefore, g^-1og(x) = (2x)/(2 - x).

g^-1og(3) = g^-1[(3 + 7)/(1 - 3)]

= g^-1[-5]

= (-5 - 7)/(1 + (-5))

= (-12)/(-4)

= 3

Therefore, g^-1og(3) = 3.

gog^-1(-3) = g[(-3 - 7)/(1 - (-3))]

= g[-1]

= (-1 + 7)/(1 - (-1))

= 6/2

= 3

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The 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.

To find the term of the arithmetic sequence that corresponds to the value 2850, we can use the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the first term is 3510 and the common difference is -15. Let's substitute these values into the formula and solve for n:

2850 = 3510 + (n - 1) * (-15)

Now we can simplify the equation:

2850 = 3510 - 15n + 15

Subtract 3510 from both sides:

-660 = -15n

To solve for n, divide both sides of the equation by -15:

n = -660 / -15

Simplifying further:

n = 44

Therefore, the 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.

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If resources are doubled at the processing station, the cashier station would become the bottleneck in the process, while the registration and ID processing stations would not be the bottlenecks.

To determine the impact of doubling resources at the processing station, let's analyze the overall process and identify the bottleneck.

Given:

• Registration time: 2.5 minutes per student

• Cashier time: 6 minutes per student

• ID processing time: 15 minutes per student

• Demand rate: 0.5 student per minute

First, let's calculate the total time spent per student in the current system: Total time per student = Registration time + Cashier time + ID processing time = 2.5 + 6 + 15 = 23.5 minutes

Now, let's calculate the total number of students served per minute: Number of students served per minute = Demand rate = 0.5 student per minute

Since the demand rate is lower than the rate at which students are currently being served (0.5 < 1 student per minute), we can conclude that the process is currently resource-constrained, not demand-constrained.

If resources are doubled at the processing station, the ID processing time will be reduced to half, i.e., 7.5 minutes per student. This would make the cashier station the bottleneck, as the total time per student would become 16 minutes (2.5 + 6 + 7.5). Therefore, the conclusion is: The cashier station becomes the bottleneck.

In summary, if resources are doubled at the processing station, the cashier station would become the bottleneck in the process, while the registration and ID processing stations would not be the bottlenecks.

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Answer:

43xx

Step-by-step explanation:

5x(2x+7)+x(3x-5)

first, do the equations inside the parentheses

2x+7=9x

3x-5=-2x

so,

5x(9x)+x(-2x)

Next, do 5x times 9x

(5x) x (9x) = 45

so,

45+x(-2x)

Next, do x times (-2x)

(x) x (-2x)=-2xx

so,

45+-2xx

=43xx

Answer:

Step-by-step explanation:

Answer:

under

Step-by-step explanation:

change the underminator, we have

7×(x-2)-4×(3x+5)=-3×7×4

7x-14-12x-20=-84

-5x=-50

x=10

The points that have an x value less than zero are D, J, and E.

These are the points located to the left of the y-axis, where the x-axis is the horizontal axis, and the y-axis is the vertical axis.

The coordinate plane, also known as the Cartesian plane, consists of two perpendicular lines that intersect at the origin (0, 0).

The horizontal axis is known as the x-axis, and the vertical axis is known as the y-axis.

Points on the plane are labeled by their coordinates.

The x-coordinate represents the horizontal position of a point, while the y-coordinate represents the vertical position of a point.

A point in the plane is typically represented by its coordinates as (x, y).

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The value of x is 5

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also, the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/49 = 22/15x+2

14(15x+2) = 49× 22

210x +28 = 1078

210x = 1078 -28

210x = 1050

divide both sides by 210

x = 1050/210

x = 5

Therefore the value of x is 5

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The equation that best represents this solution is:

40t + 1,280 = 2,680

What is the algebraic equations?

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

Each time Sophia shops at the grocery store, she earns 40 points. If she needs a total of 2,680 points to receive a free prize and she has already earned 1,280 points, then she needs to earn an additional 2,680 - 1,280 = 1,400 points. Let t represent the number of times Sophia visits the store.

Since Sophia earns 40 points every time she shops at the grocery store, the total number of points she will earn after t visits is 40t. Therefore, we can set up the following equation:

40t = 1,400

Solving for t, we can divide both sides of the equation by 40:

t = 1,400/40

t = 35

Hence, Sophia will need to shop at the grocery store 35 more times in order to earn the additional points she needs for a free prize.

The equation that best represents this solution is:

40t + 1,280 = 2,680

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Step-by-step explanation:

because because if we solve for m in the first equation then the answer is -8 and from second equation the answer is also - 8 that's why the answer is yes

Answer:

\(\Large \boxed{\sf Yes}\)

Step-by-step explanation:

First equation:

\(m+3=-5\)

Subtract 3 from both sides

\(m+3-3=-5-3\)

\(m=-8\)

Second equation:

\(m-4=-12\)

Add 4 to both sides

\(m-4+4=-12+4\)

\(m=-8\)

m = -8  for both equations, therefore both equations are equivalent

The rate at which the volume of the cone is changing is -5235.98 inches³/s when the radius of the circular cone is 50 inches and the height is 10 inches.

The formula for the circular cone can be given as;

V = 1/3 πr²h

Now we take the derivative with respect to time as follows;

V = 1/3 πr²h

dV/dt = 1/3π d/dt(r²h)

dV/dt = 1/3π [2r(dr/dt) × h + r²(dh/dt)]

Now we substitute the values in this equation as follows;

dV/dt = 1/3π [2 × 50 × 5 × 10 + (50²) (-4)]

dV/dt = 1/3π [ 5000 - 10000]

dV/dt = 1/3π [-5000]

dV/dt = -5235.98

Hence the negative sign indicates that the volume is decreasing over time and the rate of change is calculated to be -5235.98 inches³/s.

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The cost of each baseball is $3.50, option A is correct.

Given that the Number of baseballs are 7.

Cost of the bat = $42.00

Total cost before tax = $66.50

The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:

Total cost of baseballs = 7 × x

The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:

Total cost = Total cost of baseballs + Cost of the bat

$66.50 = 7x + $42.00

We need to solve this equation for x.

Subtracting $42.00 from both sides:

$66.50 - $42.00 = 7x

$24.50 = 7x

Dividing both sides by 7:

$24.50 / 7 = x

x = $3.50

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Answer:

2xy is l c m

Step-by-step explanation:

2xy is present in 4x^2y

Answer:

$8.00

Step-by-step explanation:

You need to add 3.50 and 2.50. your answer will be 6.00. If you subtract 6.00 from 14.00 you will get your answer which is 8.00

30% of students mean 30 students wear contact lenses from a random selection of 100 students studying in a university.

Percentage is a fraction or a ratio of a random sample in which the value of whole is always 100. For example, if Sam received 30% on his arithmetic test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

Percentage is defined as a certain fraction or number out of a hundred. It is a fraction with the denominator 100, and the sign for it is "%."

Finding the proportion of a whole in terms of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

Use the unitary approach or try adjusting the fraction's denominator to 100.

How to solve?

30 % = 30/100 of a sample = 0.3 of a sample

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Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

The rate at which the distance is changing is calculated to be 14.42 miles per hour.

Consider the east direction to be denoted by x and the north direction to be denoted by y, therefore;

dx / dt = 12 mph

dy / dt = 8 mph
x is equal to 4 miles

Consider the distance between them to be s

Time taken by you to travel 4 miles = distance / speed

Time taken by you to travel 4 miles = 4/12 hour

Distance traveled by the friend in that time = speed × time

Distance traveled by the friend in that time = 8 × (4/12) = 2.67 miles

Now we use the Pythagorean theorem,

x^2 + y^2 + s^2 ...... (1)

Substitute, x = 4 miles and y = 2.67 miles

s^2 = 16 + 7.1289 = 23.1289

s = 4.81

Now differentiate equation 1 with respect to t as follows;

2x (dx/dt) + 2y (dy/dt) = 2s (ds/dt)

2(4) (12) + 2(2.67) (8) = 2 (4.81) (ds/dt)

96 + 42.72 = 9.62 (ds/dt)

138.72 = 9.62 (ds/dt)

ds/dt = 138.72/9.62 = 14.42 miles per hour

Thus the distance is changing at the rate of 14.42 miles per hour.

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Answer:

hatdos and me but the amerika dont approve

Answer:

a = 4√2, h = 2√3

Answer:

It's -7

Step-by-step explanation:

-7 • -4=28 (multiplying 2 negatives gives you a positive)

28 - 20 =8

The circumference of the great circle of the sphere is approximately 31.4 inches.

To find the circumference of the great circle of the sphere with a volume of (500π)/3 cubic inches, we will first find the radius (r) using the volume formula, and then use the circumference formula.

Step 1: Use the volume formula to find the radius.
The volume formula for a sphere is V = (4/3)π\(r^3\). We are given the volume as (500π)/3, so we can set up the equation:

(500π)/3 = (4/3)π\(r^3\)

Step 2: Solve for r.
To solve for r, we can first divide both sides by (4/3)π:

[(500π)/3] / [(4/3)π] = \(r^3\)

Cancelling the π and the 3 from both sides, we get:

500 / 4 = \(r^3\)
125 = \(r^3\)

Now, take the cube root of both sides:

r = 5

Step 3: Use the circumference formula to find the circumference of the great circle.
The circumference formula for a circle is C = πd, and since the diameter (d) is twice the radius, we have:

C = π(2r) = π(2 × 5) = 10π

Step 4: Calculate the circumference using 3.14 for π and round to the nearest tenth.
C = 10 × 3.14 ≈ 31.4

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