The initial population of a town is 2500, and it grows with a doubling time of 10 years. What will the population be in 8 years?
What will the population be in 8 years?
(Round to the nearest whole number as needed.)
HELP ASAP

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

w = ((u-5)/-4) + 1

Step-by-step explanation:

To make w an independent variable, it must be by itself, so we have

u - 5 = -4(w-1)

We divide both sides by -4

(u-5)/-4 = -4(w-1)/-4

(u-5)/-4 = w-1

Now we add 1 to both sides,

(u-5)/-4+1 = w-1+1

((u-5)/-4) + 1 = w

w = ((u-5)/-4) + 1

Answer:

u = -4w + 9.

Step-by-step explanation:

If w is the independent variable, it will be the variable you are changing.

u - 5 = -4(w - 1)

u - 5 = -4w + 4

u = -4w + 9.

Hope this helps!

Check the picture below.

The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

→

24

:

b

Where  

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for  

b

:

3

2

=

24

b

2

3

=

b

24

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

b

=

16

The restaurant would of sold  

16

burgers without cheese with the information provided in the problem.

The z-score, if the house price is $650,000 with a mean of $652,064 and a standard deviation of $127,622 is -0.0162.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The price of the house, x = $650000,

The mean, m = $652064,

The standard deviation, d = $127622

Calculate the z score by the following formula,

Z = x - m / d

Here, Z is the z score.

Substitute the values,

Z = 650000 - 652064 / 127622

Z = -0.0162

Therefore, the z-score, if the house price is $650,000 with a mean of $652,064 and a standard deviation of $127,622 is -0.0162.

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Answer:

Because the line is the shortest path between 2 points

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Answer:

14720$ he will make and there are 7360 tomatoes

Step-by-step explanation:

Answer:

Following are the solution to these choices:

Step-by-step explanation:

\(\mu_{0}=39\\\\n = 25\\\\s = 3.8\\\\\bar{X}=40\\\\\alpha =0.1\)

The test assumption is:

\(\text{Null Hypothesis} \to H_0:\mu =\mu_{0}\\\\\text{Alternate Hypothesis} \to H_1:\mu >\mu_{0}\\\\\)

It is a checked right-tail, since the alternative hypothesis is produced to classify the argument when the data difference is greater than 0.

\(\text{Critical value} =t_{\alpha,n-1} = t_{0.1, 24} =1.3178\\\\\text{Rejection Region:} t_{0} > t_{\alpha,n-1}\\\\\text{Since} \ t_{0} = 1.3158 < 1.3178 = t_{0.1}\\\\\)

The null hypothesis should be rejected: \(H_{o}: \mu = 39.0\ at\ \alpha =0.1.\)

They have little enough proof that perhaps the average number of calls per person per week amounts to even more than 39.

Answer:

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

Simplify in below steps:

The that will represent the exponential function is given in image

What are exponential functions, exactly?

A mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is referred to as the function's base and must be greater than zero. The most commonly used exponential function basis is the transcendental number e, which is approximately equivalent to 2.71828.

Exponentially increasing growth

In Exponential Growth, the amount expands incredibly slowly at first, then rapidly. With the passage of time, the rate of change quickens. The rate of growth quickens as time passes. The fast growth is supposed to indicate a "exponential ascent".

The exponential growth formula is: y = a (1+ r)ˣ, where r is the proportion of increase.

Now,

As the function y=10x² represents the number of gummies after x months

the the graph will be  

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Answer:

2x - 48

Step-by-step explanation:

If it is 48 less, then it is -48. Next is 2x because it is twice a number.

Answer:

-3.75

Step-by-step explanation:

Given statement solution is :- The y-intercept is (0, -3).

The term "intercept" refers to the location where a line or curve crosses a graph's axis.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

To find the x-intercept, we set y = 0 and solve for x.

0 = (1/4)x - 3

Add 3 to both sides:

3 = (1/4)x

Multiply both sides by 4 to isolate x:

12 = x

So the x-intercept is (12, 0).

We set x = 0 and then solve for y to determine the y-intercept.

y = (1/4)(0) - 3

y = -3

So the y-intercept is (0, -3).

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Answer:

d=0.5

Step-by-step explanation:

18 x 0.5=9

9 is less than 18 and greater than 0

Answer:

9

Step-by-step explanation:

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

The curvature is modelled by \(\kappa = \frac{e^{-t}}{6\sqrt{2}}\).

Step-by-step explanation:

The equation of the curvature is:

\(\kappa = \frac{|\dot {x}\cdot \ddot {y}-\dot{y}\cdot \ddot{x}|}{[\dot{x}^{2}+\dot{y}^{2}]^{\frac{3}{2} }}\)

The parametric componentes of the curve are:

\(x = 6\cdot e^{t} \cdot \cos t\) and \(y = 6\cdot e^{t}\cdot \sin t\)

The first and second derivative associated to each component are determined by differentiation rules:

First derivative

\(\dot{x} = 6\cdot e^{t}\cdot \cos t - 6\cdot e^{t}\cdot \sin t\) and \(\dot {y} = 6\cdot e^{t}\cdot \sin t + 6\cdot e^{t} \cdot \cos t\)

\(\dot x = 6\cdot e^{t} \cdot (\cos t - \sin t)\) and \(\dot {y} = 6\cdot e^{t}\cdot (\sin t + \cos t)\)

Second derivative

\(\ddot{x} = 6\cdot e^{t}\cdot (\cos t-\sin t)+6\cdot e^{t} \cdot (-\sin t -\cos t)\)

\(\ddot x = -12\cdot e^{t}\cdot \sin t\)

\(\ddot {y} = 6\cdot e^{t}\cdot (\sin t + \cos t) + 6\cdot e^{t}\cdot (\cos t - \sin t)\)

\(\ddot{y} = 12\cdot e^{t}\cdot \cos t\)

Now, each term is replaced in the the curvature equation:

\(\kappa = \frac{|6\cdot e^{t}\cdot (\cos t - \sin t)\cdot 12\cdot e^{t}\cdot \cos t-6\cdot e^{t}\cdot (\sin t + \cos t)\cdot (-12\cdot e^{t}\cdot \sin t)|}{\left\{\left[6\cdot e^{t}\cdot (\cos t - \sin t)\right]^{2}+\right[6\cdot e^{t}\cdot (\sin t + \cos t)\left]^{2}\right\}^{\frac{3}{2}}} }\)

And the resulting expression is simplified by algebraic and trigonometric means:

\(\kappa = \frac{72\cdot e^{2\cdot t}\cdot \cos^{2}t-72\cdot e^{2\cdot t}\cdot \sin t\cdot \cos t + 72\cdot e^{2\cdot t}\cdot \sin^{2}t+72\cdot e^{2\cdot t}\cdot \sin t \cdot \cos t}{[36\cdot e^{2\cdot t}\cdot (\cos^{2}t -2\cdot \cos t \cdot \sin t +\sin^{2}t)+36\cdot e^{2\cdot t}\cdot (\sin^{2}t+2\cdot \cos t \cdot \sin t +\cos^{2} t)]^{\frac{3}{2} }}\)

\(\kappa = \frac{72\cdot e^{2\cdot t}}{[72\cdot e^{2\cdot t}]^{\frac{3}{2} } }\)

\(\kappa = [72\cdot e^{2\cdot t}]^{-\frac{1}{2} }\)

\(\kappa = 72^{-\frac{1}{2} }\cdot e^{-t}\)

\(\kappa = \frac{e^{-t}}{6\sqrt{2}}\)

The curvature is modelled by \(\kappa = \frac{e^{-t}}{6\sqrt{2}}\).

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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There are no points at which the function has its direction of fastest change along the vector i + j. This is because the equations lead to a contradiction.

The exercise asks to find all the points at which the function f(x, y) = x^2 + y^2 - 8x - 16y has its direction of fastest change along the vector i + j.

To find the points, we need to solve the equation:

(2x - 8)i + (2y - 16)j = k(i + j)

where k is a constant. Since the direction of fastest change is along the vector i + j, we know that the left-hand side of the equation represents the gradient vector of f(x, y).

Equating the x and y components of the gradient vector to the corresponding components of the vector i + j, we get:

2x - 8 = k

2y - 16 = k

Equating these two expressions for k, we get:

2x - 8 = 2y - 16

Solving for y in terms of x, we get:

y = x - 4

Substituting this expression for y into the equation of the gradient vector, we get:

2x - 8 = k

2(x - 4) - 16 = k

Simplifying, we get:

2x - 8 = k

2x - 24 = k

Substituting the first equation into the second, we get:

2x - 24 = 2x -

Simplifying, we get:

16 = 0

This is a contradiction, which means there are no points at which the function has its direction of fastest change along the vector i + j.

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The percentage that can be filled with $3 in 1990 is: 29.41%

To calculate percentage growth rate:

Beginning:

Calculate the difference (increase) between the two numbers you are comparing. after that:

Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.  

We are told that it cost $3 to fill a gas tank as at 1970.

Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:

Cost of a gallon in 1970 = $0.36

Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank

Now, in 1990, the cost is $1.23 and as such:

Quantity that can be bought = 3/1.23 = 2.45 gallons

Percentage of tank filled = 2.45/8.33 * 100% = 29.41%

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Answer:

$4.26 per ceiling tile.

Step-by-step explanation:

Answer:

B. Complements of congruent angles are congruent.

Step-by-step explanation:

Angles <DCF and <FEG have angles measures that are complementary to to angles E and C.

Answer: The distance of the ship from the lighthouse is 546.4 feet.

Step-by-step explanation:

What is the angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The beacon light is 126 feet high, the angle of elevation to the beacon is 13° and the distance from the lighthouse to the ship = x

These from a right-angled triangle,

from trigonometry

tan 13 = 126/x

making x the subject of the equation we have

x tan 13 = 126

x = 126/tan 13

but tan 13 = 0.2308

x = 126/0.2308

x = 546.4 feet

In conclusion, the ship's distance from the lighthouse is 546.4 feet.

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Answer:

1.option is the correct answer right

The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Answer:

I use probability to make a decision in my life when I decide to either go outside or not go outside if it looks like it will rain. The outcome compares with my expectations because sometimes when I think it'll rain, it does, and sometimes it doesn't. This shows probability in my life because there is a chance it will rain and a chance it won't.

Answer:

36

Step-by-step explanation:

First you calculate the area of the rectangle. then you substract the area of the triangle.

The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48

The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12

Area of the figure = 48-12=36

Answer:

I think it would be 2,34 becuase when you think about the question it fits together

Step-by-step explanation:

:)

Answer:

What question are u asking

Step-by-step explanation: