In 2002, a school population was 1655. By 2008 the population had grown to 2711.

1) How much did the population grow between the year 2002 and 2008?

The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.

Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.

We have given information that

Shadow of tree = 523 inch

Shadow of human = 180 inch

Height of human = 64 inch

height of tree = x

Lets solve this with cross multiplication

⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]

⇒ 180 × x = 64 × 523

⇒ x = (64 × 523)/180

⇒ x = 185.95

       = 186 approx.

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[tex]y-y_{1} = m (x-x_{1})[/tex]

is the linear equation format for point slope here

(-1, 0) would lie on the line

Answer:

45 (-3 i + 2)

Step-by-step explanation:

Simplify the following:

(8 + 7) (-sqrt(-81) + 6)

Hint: | Evaluate 8 + 7.

8 + 7 = 15:

15 (-sqrt(-81) + 6)

Hint: | Express sqrt(-81) in terms of i.

sqrt(-81) = sqrt(-1) sqrt(81) = i sqrt(81):

15 (6 - i sqrt(81))

Hint: | Factor common terms from -(i sqrt(81)) + 6.

Factor 3 out of 6 - 9 i giving 3 (2 - 3 i):

15×(3 (-3 i + 2))

Hint: | Multiply 15 and 3 together.

15×3 = 45:

Answer: 45 (-3 i + 2)

Answer:

137.54

Step-by-step explanation:

The area of the figure is the total area of the right triangle (on the left) and the rectangle (on the right)

Area of the right triangle = 1/2(9.2)(6.9) = 31.74

Are of the rectangle = (9.2)(11.5) = 105.8

The total area = 31.74 + 105.8 = 137.54

I hop this helps

Applying the inscribed angle theorem, we have:

1. Measure of inscribed angle EDF = 53°

2. m<DCB = 92°

3. m<VWS = 37°

In a circle, the measure of an inscribed angle is equal to half of the measure of the measure of the intercepted arc, based on the inscribed angle theorem. In order words, the measure of the intercepted arc in a circle, is always twice the measure of the inscribed angle in the circle.

1. Measure of intercepted arc EF = 106° [given]

Measure of inscribed angle EDF = 1/2(measure of arc EF) [inscribed angle theorem]

Substitute

Measure of inscribed angle EDF = 1/2(106)

Measure of inscribed angle EDF = 53°

2. m<DCB + m<DQB = 180° [opposite angles of a cyclic quadrilateral add up to 180 degrees]

Substitute

m<DCB + 88 = 180

m<DCB + 88 - 88 = 180 - 88

m<DCB = 92°

3. m<VWS = 1/2(measure of arc VS) [inscribed angle theorem]

Substitute

m<VWS = 1/2(74)

m<VWS = 37°

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Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements

The measure of side n is √(m^2 - 64).

According to the given question.

We have a right angle triangle.

Here, we have to find the measure n.

Since, the given triangle is divided into two right angle triangles.

Now in the right angled triangle with the side measure m, n and 8.

By the Pythagoras theorem we can say that

m^2 = 8^2 + n^2

⇒ m^2 = 64 + n^2

⇒ m^2 -64 = n^2 ...(i)

⇒ n = √(m^2 - 64)

Hence, the measure of side n is √(m^2 - 64).

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(a) The average rate of change for the height from 0 seconds to 4.6 seconds is 30 meters per second.

(b) The average rate of change for the height from 9.2 seconds to 11.5 seconds is -10 meters per second.

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Answer: C= 60 milligrams

Step-by-step explanation:

apply the formula

C = Divide[a,\(40)a+2\(41)]A

The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).

The inverse of a function f is denoted by f-¹ and it exists only when f is both one-one and onto function. An inverse function in mathematics is function which "reverses" the another function.

For example, If function f which is applied to input a gives result b and then applying inverse of the function g to b, it gives result a and vice versa.

It can be written as:

f(a) = b if and only if g(b) = a or, f⁻¹ (b) = a

In order to calculate the inverse of function f(x) = (x + 2)/x just simply swap the x and y, and solve the resulting equation for the x.

So, we have f(x) = (x + 2)/x, swap the variable x by y, we get

f(x) = (y + 2)/y ............(1)

Now, solving the above equation x = y+2/y for y.

⇒y = 2/(x-1)

∴ The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).

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Answer:

1/20 are the chances to find the specific marble

Step-by-step explanation:

if he randomly gets 3 out of the 20 marbles then the chances are not high

I hope that helped u

The inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.

She needs to order some new supplies for the restaurant where she works.

The restaurant needs at least 503 glasses.

Each set on sale contains 10 glasses.

The inequality that can be used to determine the minimum number of sets of glasses Bella bought is as follows:

Therefore,

x =  number of sets

Hence,

295 + 10x ≥ 503

10x ≥ 503 - 295

10x ≥ 208

x ≥ 208 / 10

x ≥ 20.8

Therefore, the inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.

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We need to prove

(1 + cos a)(1 - sec a) = -sin a tan a

LHS

= (1 + cos a)(1 - sec a)

= 1 -sec a + cos a - cos a sec a

= 1 - sec a + cos a - cos a (1/cos a)

= 1 - sec a + cos a - 1

= cos a - sec a

= cos a - 1/cos a

= [tex]\frac{cos^{2}a - 1}{cos a}[/tex]

We know that [tex]sin^{2}a+ cos^{2}a = 1[/tex],

Then [tex]1 - cos^{2}a = sin^{2} a[/tex]

        [tex]cos^{2}a - 1 = -sin^{2}a[/tex]

= [tex]-\frac{sin^2a}{cos a}[/tex]

= [tex]-\frac{(sina)(sina)}{cosa}[/tex]

=[tex]- (sin a)(\frac{sin a}{cosa} )[/tex]

We know that tan a = sin a / cos a

= - sin a tan a

= RHS

                                        LHS = RHS

                                     Hence Proved

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Answer:

The third one from the left

Step-by-step explanation:

One way to reduce the risk of fraudulent activity is to assign two persons to check the inventory.

Accounting principles lay out the basic guidelines and ideas and create the foundation upon which specific accounting standards are built.

Inventory-related accounting principles and procedures might be applied unethically. For instance, many teachers in my field who are required to gather and check-in inventory do so while keeping the inventory for themselves. Having two persons check off the inventory is one method to lower the risk.

Accounting fraud is the illegal modification of a company's financial statements in an effort to hide earnings or losses or to manipulate the company's appearance of health. Accounting fraud can be committed in a variety of ways, including overstating revenue, failing to record expenses, and misrepresenting assets and liabilities.

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The complete question is mentioned below:

Inventory accounting can often be used for unethical or fraudulent behavior. discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place. be as detailed as possible, and if appropriate, include a personal experience you have encountered. next, discuss at least one way to reduce the risk of fraudulent practices such as this from taking place in a business.

The range of the numbers from the data set is 25

From the information, the five number summary of a dataset was found to be 45, 50, 57, 65, 70.

It should be noted that range is the difference between the highest and the lowest number.

Highest number = 70

Lowest number = 45

Range = 70 - 45 = 25

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The five number summary of a dataset was found to be:

45, 50, 57, 65, 70

Find the range.

0.925 as a percentage is 92.5 and as a simplified fraction is 37/ 40, that is, option A.

Here, we are given a decimal number- 0.925

we can write the number as follows-

0.925 = 925/1000

dividing both the numerator and denominator by 25 we get-

37/40

Thus, the number 0.925 as a simplified fraction comes out to be 37/ 40.

Now, we need to convert it into percentage form. Per cent simply means the value of a number per 100.

We can simply multiply 925/ 1000 by 100 to get the percent value as follows-

925/ 1000 × 100

= 925/ 10

= 92.5

Thus, 0.925 as a percentage is 92.5%.

Hence, option A, is the correct option.

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Answer: -4/15 (x - 15)

Step-by-step explanation: Got it from quick math

Answer:

X+Y-3

Step-by-step explanation:

I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y

Based on the demand curves and the movement of the demand curve, the equilibrium price before the demand shift is b and the equilibrium quantity before the demand shift was e.

The equilibrium price refers to the price at the point where the supply and demand curves meet on the graph.

Before the shift in demand, the equilibrium price was at Price b which was the intersection between demand curve d1 and the Supply curve.

The equilibrium quantity was the quantity at this equilibrium price and this was Quantity e.

Rest of the question is:

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Answer:

1. 740 students

2. 4 years

3. 185 students per year

4. 357 students

5. 185t+357

6. 3132 students

Work:

1. 1837 - 1097 = 740

2. 2008 - 2004 = 4

3. (1837 - 1097) / (2008 - 2004) = 185

4. 185(0) + 357 = 357

5. 185t + 357

6. 185(15) + 357 = 3132

Answer:

Given: Ø = 51°

opposite = 15

Find: sin Ø =

It doesn't matter what else you throw into the picture,

if Ø = 51° then sin Ø always equals 0.7771

The probability of getting yellow marbles is 0.23.

Probability is the measure of the likelihood that an event will occur in a Random Experiment.

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Total marbles= 100

blue marbles = 21

green marbles= 19

red marbles = 37

yellow marbles= 23

So, the probability of randomly selecting a yellow marble

= 23/100

= 0.23

Hence, the probability of randomly selecting a yellow marble is 0.23.

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We need to know about radical form of a number to solve the question. The simplified version of 2[tex]\sqrt{243}[/tex]x is 18[tex]\sqrt{3}[/tex]x.

Radical form of a number is the simplified version of the number where there is no square root or third root or fourth left of the number.If there is a square root of a number present then we have to simplify it and break it down to a square root from where no other natural number root can be found.In this question we have a number 2[tex]\sqrt{243}[/tex]x, we have to simplify [tex]\sqrt{243}[/tex] so we get the radical form of the number and we assume that x>=0. We can write 243 as 9x9x3, so we can see that for the square root of 243 we can write 9[tex]\sqrt{3}[/tex]. So the number 2[tex]\sqrt{243}[/tex]x can be written as 2x9[tex]\sqrt{3}[/tex]x=18[tex]\sqrt{3}[/tex]x.

Therefore we got the radical form of 2[tex]\sqrt{243}[/tex]x to be 18[tex]\sqrt{3}[/tex]x.

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Answer:

[tex]f(x) = x^2 + 6x+9[/tex]

Step-by-step explanation:

[tex]y=(x+3)^2 = x^2 + 6x+9[/tex]

The Arithmetic means will be inserted between 1 and 36 such that the

sum of the resultant arithmetic progression will be 148 is 8.

The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.

We'd arrive along all a few key words in AP, which were denoted as:

The AP can also be defined in terms of common distinctions, as illustrated below.

Now, for the stated question;

Assume the first term is'a₁' = 1.

The last term of the series that is nth term is 'a₃₆'.

The sum of all digits between 1 and 36 is given as 148.

Thus, Sn = 148

Substitute the value in the sum formula.

Sn = (n/2)×(a₁ + a₃₆)

148 = (n/2)×(1 + 36)

148 = (n/2)×(37)

n = (148×2)/37

n = 8.

Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.

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The equation of the linear least-squares regression line is given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

From the table, we get that:

Water is being poured into the cone, hence the volume is increasing and the slope is positive. The equation will be given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

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