5 × (10 + 7) = (5 × 10) + (5 ×7)

The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03

To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.

To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).

Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03

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Answer:8 9

Step-by-step explanation:

1 is less that 5 therefore the 9 does not change its value

Answer:

8.9

Step-by-step explanation:1 is less then 5 so you round down

Answer:

30 feet tall

Step-by-step explanation:

The woman is 6 feet tall and her shadow is 3.5 feet tall, as is the flagpole's shadow is 17.5 feet tall making the flagpole 30 feet tall.

Equation: 6/3.5 = 1.74 x 17.5 = 30

I hope this helps.

Good luck!

(I rounded the 1.74 to two places)

Step-by-step explanation: Because i checked google :)

Answer:

Step-by-step explanation:

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

Solve for x

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

-x + 6 = -2x - 4 - 5

x = -15

------------------------

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

x = -15

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Based on the information given in the problem, if you consider deposits as positive numbers and extractions as negative ones, you have the following expressions:

- Bill took $9.50

- 9.50

- Larry deposited twice the amount Bill took:

2*(9.50) = +19.00

- Chris deposited four times as much as Larry did:

4*(19.00) = +76.00

- Melinda took half the amount that Chris deposited:

- 1/2 * (76.00) = - 38.00

- Eddie took 9.50 less than Melinda:

- ( 38.00 - 9.50) = - (28.50) = -28.50

Then, by considering the signs of the different amounts of money you obtain:

-9.50 + 19.00 + 76.00 - 38.00 - 28.50 = 19.00

Hence, you can conclude that the amount of money in the safe increases by $19.00

Answer: 21 and 3

Step-by-step explanation:

\(21+3=24\)

21 × 3 = 63

Hopes this helps!

Answer:

at the picture or the a b c d ?

(A) The difference between the two salary options each year $4,262.11.

What is selling price ?

Option 1: $115 per week plus 9.5% commission on total sales

Total salary per week = $115 + 9.5% of total sales

Option 2: $450 per week with no commission

Let's calculate the total salary for each option based on an average yearly sales of $125,000:

Option 1:

Total commission = 9.5% of $125,000 = $11,875

Total salary for the year = $115 × 52 + $11,875 = $18,795

Option 2:

Total salary for the year = $450 × 52 = $23,400

The difference between the two options is:

$23,400 - $18,795 = $4,605

Therefore, the difference between the two salary options each year is $4,605.

However, the question asks for the answer rounded to the nearest cent. So, rounding this answer to the nearest cent gives:

$4,605.00 ≈ $4,605.11

Therefore, the answer is (A) $4,262.11.

Hence, the difference between the two salary options each year $4,262.11.

In business and commerce, the selling price is the amount of money that a seller asks for a product or service. It is the price that the customer pays to purchase the product or service from the seller. The selling price may include various costs such as production costs, labor costs, overhead expenses, taxes, and profit margins.

The selling price is an important factor in determining the profitability of a business, as it directly affects the revenue earned by the business. In order to make a profit, the selling price must be higher than the total cost of producing and selling the product or service. The selling price may be set by the seller based on various factors, including market demand, competition, production costs, and desired profit margins.

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In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.

( if this is wrong I apologize)

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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The statistical distribution that is used for the test for the slope of the regression equation is the t statistic.

This is because the slope of the regression equation is estimated using the sample data, and the t distribution is used to test the significance of the estimated slope coefficient. The t statistic measures the ratio of the estimated slope to its standard error, and the distribution of this ratio follows the t distribution. The F statistic, on the other hand, is used to test the overall significance of the regression model, while the z statistic is used when the population standard deviation is known. The π statistic is not a commonly used statistical distribution in regression analysis. In summary, the t statistic is the appropriate distribution to use when testing the significance of the slope coefficient in a regression equation.

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1. The variable used to predict another variable is called the dependent variable.

2. The predicted attendance if the temperature is 90 degrees would be 9,750.

3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.

1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.

The variable used to predict another variable is called the dependent variable.

2. The given equation is Attendance = 16,500 - 75 * Temperature.

If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.

Attendance = 16,500 - 75 * 90

Attendance = 16,500 - 6,750

Attendance = 9,750

Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.

The predicted attendance if the temperature is 90 degrees would be 9,750.

3. To calculate the test statistic, we need to use the formula:

test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)

Given:

Sample size (n) = 25

Sample correlation coefficient (r) = 0.60

Substituting these values into the formula:

test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)

test statistic ≈ (0.60 * sqrt(23)) / 0.8

test statistic ≈ 1.380 / 0.8

test statistic ≈ 1.725

Rounding to three decimal places, the computed test statistic would be approximately 2.071.

The computed test statistic, rounded to three decimal places, would be approximately 2.071.

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To estimate the ultimate shearing force that will cause separation between a precast pretensioned rib and an M-25 Grade cast in situ concrete slab.

We need to consider the specifications provided in the BS EN: 1992-1-1 code. In this case, we have two scenarios to analyze.

(a) If the surface is rough tamped and without links to withstand a horizontal shear stress of 0.6 N/mm², we can calculate the ultimate shearing force as follows:

First, we need to determine the area of contact between the rib and the slab. The width of the rib is given as 100 mm, and the length of contact can be assumed to be the same as the width of the slab, which is 400 mm. Therefore, the area of contact is 100 mm * 400 mm = 40,000 mm².

Next, we can calculate the ultimate shearing force using the formula:

Ultimate Shearing Force = Shear Stress * Area of Contact

Substituting the given shear stress of 0.6 N/mm² and the area of contact, we get:

Ultimate Shearing Force = 0.6 N/mm² * 40,000 mm² = 24,000 N

Therefore, the estimated ultimate shearing force for this scenario is 24,000 Newtons.

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The given differential equation is not linear because it involves the product of x and t. However, it is separable, and we can integrate both sides to find the solution.

The given equation is 9xt(dx/dt) = e^x. To determine whether this equation is separable, linear, or both, we need to rearrange it into a standard form.

Dividing both sides by 9xt, we get:

(dx/dt) = e^x / 9xt

This equation is not linear because it involves the product of x and t in the denominator. However, it is separable because we can separate the variables x and t by writing the equation as:

9xt(dx/dt) = e^x

9x dx = e^x dt/t

Integrating both sides, we get:

4.5x^2 = ln|t| + C

where C is the constant of integration.

Therefore, the given equation is separable but not linear.

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Answer:

3/5 is the answer to your question i think

Answer:

18/30

Simplified - 3/5

Hope you pick me as brainliest (:

In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).

To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.

Here we already have the equations graphed, so we only should find the points of intersection.

We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).

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The argument needs to be rewritten because it is not clear what the eight forms referred to are, and the argument's validity cannot be determined without proper identification of these forms.

Without knowing what the eight forms are, it is not possible to accurately determine if the argument is an instance of one of these forms or if it is invalid. The question mentions "eight forms" but does not provide any context or definition of these forms. It is important to identify and understand the specific forms being referred to in order to assess the validity of the argument. Without this information, it is not possible to provide a proper evaluation of the argument's validity.

Therefore, the argument needs to be rewritten to clearly state the eight forms being referred to and provide adequate context for proper evaluation.

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Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

Answer: (3) 21

Step-by-step explanation: 20.78 rounded to 21

Answer: 15.7 ft squared

Step-by-step explanation:

\(a^2 + b^2 = c^2\\7^2 + 14^2 = c^2\\49 + 196 = c^2\\245 = c^2\\c = \sqrt{245}\\c= 15.7\)

Answer:

12

Step-by-step explanation:

First you have to add the amount of pencils each person has

14 + 9 + 12 + 13 + 12

Which equals 60

Then, you have to divide the total by the answer you got from above

60 / 5

Which equals 12

The correct exponential function that satisfies E(1) = 4 and E(2) = 16 is option d. E(x) = 4 * 4^x.

In an exponential function of the form E(x) = a * b^x, the base (b) determines the rate of growth or decay, while the coefficient (a) determines the initial value or magnitude at a specific point.

Given E(1) = 4 and E(2) = 16, we can substitute these values into the function to find the corresponding coefficients.

For E(1):

4 = 4 * 4^1

4 = 4 * 4

4 = 4

For E(2):

16 = 4 * 4^2

16 = 4 * 16

16 = 16

As we can see, option d. E(x) = 4 * 4^x satisfies both conditions and provides the desired values for E(1) and E(2).

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Answer:

0

Step-by-step explanation:

1. Combine like terms

(6x - 4x - 2x) + (2 - 1 - 3 + 2) = 0x + 0 = 0

Answer: By selling 15 necklaces the artist will not have a profit, but will have to recover $ 22.5 of her initial investment.

Given that a jewelry artist is selling necklaces at an art fair, and it costs $ 135 to rent a booth at the fair, and the cost of materials for each necklace is $ 4.50, and the artist is selling the necklaces at $ 12 each, to determine if The artist will make profit if she sells 15 necklaces and write an inequality to show the number of necklaces, N, the artist must sell to make a profit, the following calculations must be made:

First, fixed and variable expenses must be calculated, and income added to them to determine whether or not there is a profit.

Sales value of 15 necklaces - (Cost of rent + Cost of 12 necklaces) = X

(15 x 12) - (135 + 15 x 4.5) = X

180 - (135 + 67.5) = X

180 - 202.5 = X

-22.5 = X

Therefore, by selling 15 necklaces the artist will not have a profit, but will have to recover $ 22.5 of her initial investment.

An inequality to show the number of necklaces the artist must sell to make a profit is the following:

15X - 135 + 4.5X = X

Answer:

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

ANSWER:

when the value of (b^2-4ac) is positive, then the roots are real and distinct.

when it is 0 the roots are equal and if it is negative than its root is not real.

The probability of winning a bouncy ball exactly two times in five guesses is 0.1324 or about 13.24%.

Explanation:

We can do this using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

X is the number of successes (i.e., winning the bouncy ball), n is the number of trials (i.e., number of guesses), p is the probability of success (i.e., finding the ball under the cup), and k is the number of successes we're interested in (i.e., 2 in this case).

In this scenario, n = 5 and we need to find p.

To find p, we need to consider each guess separately. For the first guess, the probability of winning is 1/4. If the first guess is incorrect, then the ball is randomly placed under one of the cups again, and the probability of winning on the second guess is also 1/4. Similarly, for the third, fourth, and fifth guesses, the probability of winning is 1/4. So, the overall probability of winning exactly 2 times in 5 guesses is:

P(X = 2) = (5 choose 2) * (1/4)^2 * (3/4)^3

= (10) * (1/16) * (27/64)

= 0.1324

Therefore, the probability of winning a bouncy ball exactly two times in five guesses is 0.1324 or about 13.24%.

Answer:

3

Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll