A scale drawing of an American flag is 6 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?

The value of N that satisfies the following equation, 5!9!= 12N!, is 10.

Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.

Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.

Given the equation 5!9!= 12N!, expand the factorial notation.

(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!

N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

N = 10

Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.

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Answer: x=−1.226024

Step-by-step explanation: Let's solve your equation step-by-step.

8x+2=5

Solve Exponent.

8x+2=5

log(8x+2)=log(5)(Take log of both sides)

(x+2)*(log(8))=log(5)

x+2=

log(5)

log(8)

x+2=0.773976

x+2−2=0.773976−2(Subtract 2 from both sides)

x=−1.226024

box 1: 1/4

first arrow: - (less than)

second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)

box 2: 1/4

third arrow: same as second arrow

last arrow: =

box 3: 104 ÷ 1/4 = 416

message if you dont understand

hope this helped

The inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

We have,

Nine less than the product of a number n and 1/4 is no more than 95.

Let the number be n.

Now,

No more than means,

We have less than, greater than, and equal to.

We can use less than and equal to.

The inequality can be written as,

1/4 x n - 9 ≤ 95

(1/4)n - 9 ≤ 95

Add 9 on both sides.

(1/4)n ≤ 95 + 9

(1/4)n ≤ 104

Multiply 4 on both sides.

n ≤ 416

Thus,

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

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The sample size of the data set is the total number of plants in the experiment. The mean is the average of the data set, the standard deviation is the measure of how much the values in the data set vary from the mean, and the standard error is a measure of the accuracy of the mean.

The sample size of the data set is the total number of plants in the experiment and can be determined by counting the total number of plants in the experiment. The mean is the average of the data set and can be calculated by taking the sum of all the values divided by the sample size. The standard deviation is the measure of how much the values in the data set vary from the mean and can be calculated by taking the square root of the sum of all the squared differences divided by the sample size minus one. The standard error is a measure of the accuracy of the mean and can be calculated by taking the standard deviation divided by the square root of the sample size.

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Answer:

Step-by-step explanation:

2/5

do the run over rise

The number of fewer students to get to school by skateboard than by car and bus combined would be 60 fewer students.

To find how many fewer students get to school by skateboard than by car and bus combined, we need to add the number of students who use car and bus and then subtract the number of students who use skateboard.

Car: 30 students

Bus: 40 students

Car + Bus = 30 + 40 = 70 students

Skateboard: 10 students

Difference = (Car + Bus) - Skateboard

Difference = 70 - 10 = 60 students

So, 60 fewer students get to school by skateboard than by car and bus combined.

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The particle increases its velocity in the following three subintervals:

In this question we find the case of the position of a particle (x) in versus time (t), whose graph is shown below. The velocity associated to a given time t is represented by the slope of the line tangent to that point. The velocity of a particle increases when the signs of function position and function velocity are the same.

By secant line formula, velocity can be approximated by this formula:

v ≈ Δx / Δt

Since time is a non-negative real number, the sign of velocity is derived by the following rules:

Then, the velocity of the particle increases in the following two cases:

The velocity is increasing in the following subinterval 0 < t < 2, 4 < t < 7 and 9 < t < 10.

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The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds

Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:

Mean weight - Margin of error = 187 - 3 = 184 pounds

Mean weight + Margin of error = 187 + 3 = 190 pounds

So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.

Now, let's evaluate the options to identify the value that falls outside this reasonable range:

A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.

D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.

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Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

Answer:

is there a graph that C'D' is on?

Step-by-step explanation:

because it will say it on there. Also remember, rise/run

The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The pathway of Sam's dive into the swimming pool can be represented by the equation,

\(h = -16t^2 + 15t + 12\)

(where t = time in seconds and h = height in feet)

The Sam's height after 1 second is,

\(h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft\)

Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

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Answer:

the answer is d. 70

Answer: Choice A

Step-by-step explanation: You are given the above statement.

1/5= 0.20

3/5= 0.60

You add 2 to both of these and you get 2.20 and 2.60. Notice that 2.60 is greater than 2.20. All choices have the word "vertical" in it meaning going from east to west. Choices D and C, you can eliminate because choice D says they lie below zero and in this case, both points are above zero. Choice C says they lie on the same points. Although close but they're 2 different figures. Choice B says 2.60 is below 2.20 which is false. Therefore, choice A is the answer which says that 2.20 is located below 2.60 which makes sense.

I hope this explanation helps you out.

Best to you!

Answer: The first table has a slope of 5 and y-intercept of 20

Step-by-step explanation: You can find the y-intercept by looking for when X=0. When X=0 the y point would be the y intercept. In this case it is (0, 20).

You can find the slope by doing the change in y divided by the change in x. For this the change in y would be 60 and the change in x would be 12. This leaves 60/12 which is 5.

Answer:

its A so yea the first box

Step-by-step explanation:

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

$15.21

Step-by-step explanation:

Answer:

15.21

Step-by-step explanation:

20−4.79

Subtract 4.79 from 20 to get 15.21.

15.21

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

24

Step-by-step explanation:

\(\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24\)

Answer:

Susan has a total of 660 nails

Step-by-step explanation:

John box contains 65 small nails, 40 medium nails, and 45 large nails.

The proportion of John nails is

65/5:40/5:45/5

13:8:9

Total = 30

If Susan has 176 medium nails and same proportion to John's nails

8/30(x) = 176

Where x is the total number of nails for Susan box

X= (176*30)/8

X= 22*30

X= 660 nails

Susan has a total of 660 nails

For the length of the punt, we equate the expression to zero f(x) = 0.

Given f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.

Horizontal distance means the distance between two points measured at a zero percent slope.

(-16/1225)x^2 + (7/5)x + 2.5 = 0

\(\left(\frac{-16}{1225}\right)x^2+\left(\frac{7}{5}\right)x+2.5=0\)

\(\frac{-16}{1225}x^2\cdot \:10+\frac{7}{5}x\cdot \:10+2.5\cdot \:10=0\cdot \:10\)

\(-\frac{32}{245}x^2+14x+25=0\)

\(-\frac{32}{245}x^2\cdot \:245+14x\cdot \:245+25\cdot \:245=0\cdot \:245\)

\(-32x^2+3430x+6125=0\)

\(x_{1,\:2}=\frac{-3430\pm \sqrt{3430^2-4\left(-32\right)\cdot \:6125}}{2\left(-32\right)}\)

\(x_{1,\:2}=\frac{-3430\pm \:70\sqrt{2561}}{2\left(-32\right)}\)

\(x_1=\frac{-3430+70\sqrt{2561}}{2\left(-32\right)},\:x_2=\frac{-3430-70\sqrt{2561}}{2\left(-32\right)}\)

\(x=-\frac{35\left(\sqrt{2561}-49\right)}{32},\:x=\frac{35\left(49+\sqrt{2561}\right)}{32}\)

x=-1.7569 and x=108.94

On solving for x we get, x = 108 ft.

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Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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Answer:

1.27 X 10²

Step-by-step explanation:

standard form is in format A X 10^n, where A is a number between 1 and 10

127 = 1.27 X 10²

Answer:

I believe the answer is B

Step-by-step explanation:

the +5 indicates g(x) is being moved upwards and the +3 indicates g(x) is being moved 3 to the left

Answer:

7.1032,7.209,7.23,7.3.

so we can not put the dot and imagine like 71032 72090 we not put the 0 but it's can not be with no 0 72300 and we not put 0 73000 it most greatest so

i write answer on the top!

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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