21. The population of a small town is 15,000. If the population is growing
by 5% per year, how long will it take for the population to reach 25,000?

Answer:

it wants you to find the slop by using the Y=mx+b

Step-by-step explanation:

this is how you solve.

Answer:

The slope is m = 7/3

The y-intercept is b = -5

Step-by-step explanation:

hope that helps!!!

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

55:86

Step-by-step explanation:

86+55=123 so ratio is from girls to boys

Answer: 55:68

Explanation:

This ratio compares part-to-part, or the number of votes from girls to the number of votes from boys. If 123 people voted for Danny and 55 of those votes were from girls, then 68 votes were from boys. The ratio would be 55:68.

Answer:

500 - 6r = t

Step-by-step explanation:

500 represents the amount of copper wire Lisa started with.

-6r represents how much copper wire (in yards) is used on the robot (9*2 / 3 = 6).

t represents the total wire left after Lisa builds r robots.

Answer:

jamal is a legend because he knows too much

the mechanical advantage= W : F = 72 : 6 = 12

Answer:

0.125

Step-by-step explanation:

Answer:

Help with what?

Step-by-step explanation:

Answer:

372

74.4

87

67

Step-by-step explanation:

A. Total marks scored by Harman = maths + science + English + history + Sanskrit

= 86 + 74 + 67 + 56 + 89

= 372

Total marks scored by Harman = 372

B. Average scored by Harman = Total marks scored by Harman / Number of subject

= 372 / 5

= 74.4

Average scored by Harman = 74.4

C. Highest score obtained for science = Disk ha

= 87

D. Lowest score obtained by Ankur = science and Sanskrit

= 67

He scored the same mark in both science and Sanskrit

Lowest score obtained by Ankur = 67

Histograms are used to demonstrate the distribution of a dataset. They provide a visual representation of the shape and spread of the data, showing how frequently different values occur in the dataset.

Histograms are especially useful when the data is continuous, meaning that it can take on any value within a certain range. They are created by dividing the range of the data into a set of intervals or "bins," and then counting the number of data points that fall within each bin.

The resulting bar chart shows the frequency of data points in each bin, with the height of each bar representing the number of data points in that bin.

Histograms can be used to reveal important features of the data, such as its central tendency, variability, and skewness. They can also be used to identify outliers or unusual patterns in the data. By showing the overall pattern of the data, histograms can provide insights that would be difficult to discern from a simple list of numbers or a table.

In a presentation, histograms can be used to help the audience understand the nature of the data and draw conclusions based on its distribution. They can also be used to compare the distributions of different datasets, to identify similarities or differences between them.

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The expression that is equivalent to √10 / (4√8) is given as √5 / 8

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

√10 / (4√8)

Simplifying:

= √10 / (4√(4 * 2))

= √10 / (8√2)

= √5 / 8

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

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Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.

A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.

We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.

∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.

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The probability that a 120 square foot roll will contain more than one flaw is approximately 0.0001, or 0.01%.

The number of flaws per square foot, denoted by X, as a Poisson distribution with parameter lambda = 1/40 (since there is an average of one flaw per 40 square feet).

To find the probability that a 120 square foot roll will contain more than one flaw, we need to calculate the probability of X > 1, where X is Poisson distributed with parameter lambda = 1/40.

Using the Poisson distribution formula, we have:

\(P(X > 1) = 1 - P(X < = 1)\)

= \(1 - [P(X = 0) + P(X = 1)]\)

We can calculate P(X = 0) and P(X = 1) using the Poisson distribution formula:

P(X = k) = (e^(-lambda) * lambda^k) / k!

where k is the number of flaws and lambda = 1/40.

\(P(X = 0) = (e^(-1/40) * (1/40)^0) / 0! = e^(-1/40) = 0.9756\)

\(P(X = 1) = (e^(-1/40) * (1/40)^1) / 1! = (1/40) * e^(-1/40) = 0.0244\)

\(P(X > 1) = 1 - [P(X = 0) + P(X = 1)]\)

\(= 1 - (0.9756 + 0.0244)\)

\(= 0.0001\)

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The conditional probability formula is

which gives

Then, for the first question, we get

which gives

Now, for the second question, we know that, for independent events

then, we have

which gives

Now, for question 3, we know that, when the events are dependent and mutually non-exclusive

By substituting the given values, we have

Finally, for the 4th question, we have

which gives

In summary, the solutions are:

Question 1:

Question 2:

Question 3:

Question 4:

To graph the equation \(x=y^2\) on a TI-83 calculator, you need to follow a few steps. First, go to the "\(Y=\)" screen by pressing the "\(Y=\)" button. Then, enter the equation by typing "\(y^2\)" into the first available function slot. Press the "GRAPH" button to display the graph of the equation on the calculator screen.

To explain the process in more detail, start by turning on your TI-83 calculator and pressing the "\(Y=\)" button, which will take you to the function screen. You'll see a list of function slots labeled "\(Y1\)," "\(Y2\)," and so on. Enter the equation "\(y^2\)" in one of the slots. To enter the squared symbol, press the "^" key, usually located near the upper right corner of the calculator's keypad, followed by "\(2\)." Make sure you use the "\(y\)" variable, which can be found by pressing the "ALPHA" button and then the corresponding letter key. Once you have entered the equation, press the "GRAPH" button to plot the graph on the calculator's screen. The graph should display a parabola opening to the right, representing the equation \(x=y^2\).

By following these steps, you can easily graph the equation \(x=y^2\) on a TI-83 calculator. Remember to check if the graph is within the viewing window and adjust it if necessary using the window settings.

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There are 846720 different values possible for the sum of xyx and yxy.

Let's denote the three digits of xyx as a, b, and c, such that xyx = 100a + 10b + c, and the three digits of yxy as d, e, and f, such that yxy = 100d + 10e + f. Note that x and y are distinct non-zero digits, so a, b, c, d, e, and f are all distinct non-zero digits.

The sum of xyx and yxy is (100a + 10b + c) + (100d + 10e + f), which simplifies to 100(a+d) + 20(b+e) + (c+f).

We want to find how many different values are possible for the sum. Since a, b, c, d, e, and f are all distinct non-zero digits, we can consider each of them separately.

For a given value of a, there are 9 choices for d (since d cannot be equal to a), and once we have chosen d, there are 8 choices for e (since e cannot be equal to either a or d). Similarly, there are 7 choices for f (since f cannot be equal to a, d, or e).

So, for a fixed value of a, the number of possible values of the sum is the number of possible values of (100(a+d) + 20(b+e) + (c+f)), which is simply the number of possible values of (20(b+e) + (c+f)), since 100(a+d) is fixed.

There are 8 choices for b (since b cannot be equal to a), and once we have chosen b, there are 7 choices for c (since c cannot be equal to either a or b). Similarly, there are 6 choices for e (since e cannot be equal to either a, d, or b), and 5 choices for f (since f cannot be equal to either a, d, e, or c).

Therefore, the total number of possible values of the sum is:

9 × 8 × 7 × 8 × 7 × 6 × 5 = 846720

Therefore, there are 846720 different values possible for the sum of xyx and yxy.

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The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Given:

\(\text{r = 20 mm}\)

\(\text{Volume = 16328}\)

\(\text{h = ?}\)

Formula:

\(\text{V} = \pi \times \text{r}^2 \times \text{h}\)

Solution:

\(16328 = 3.14 \times 20^2 \times \text{h}\)

\(16328 = 3.14 \times 400 \times \text{h}\)

\(\text{h} =\dfrac{16328}{(3.14 \times 400)}\)

\(\text{h} =\dfrac{16328}{1256}\)

\(\boxed{\bold{h = 13}}\)

The resulting product of the expression is 12.017

Fractions are written as a ratio of two integers

Given the following expression

-2 1/3 x -5.15

Convert to improper fraction to have:

-7/3 * -515/100

3605/300

12.017

Hence the resulting product of the expression is 12.017

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Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

Answer:

x = 5/8

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

18 / 9 = 2 (Order of operations

2+3 = 5

30 - 5 = 25

When written as a radical, the index of a expression x²/³ is 2.

To rewrite the expression x²/³ as a radical expression, we must first understand what such a radical expression is.

A radical expression is a form expression:  ⁿ√x.

As,  ⁿ√x = x¹/ⁿ

Thus the given expression x²/³ can be written in the above form as;

x²/³ = (³√x)²

Now, the obtained result (³√x)² is written in the radical form where (³√x) is a radical.

As, the expression (³√x) is raised to the 2 power, the index of the expression when the expression is written as x²/³ have a radical is 2.

As a result, the index of the expression x²/³ when rewritten as a radical is 2.

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The complete question is-

What is the index when the expression x^2/3

is rewritten as a radical expression?

To find the derivative of the function `f(x) = (4x^4 – 5)^3`,

we can use the chain rule and the power rule of differentiation. Here's the solution:We have: `y = u^3` where `u = 4x^4 - 5`Using the chain rule, we have: `dy/dx = (dy/du) * (du/dx)`Using the power rule of differentiation, we have: `dy/du = 3u^2` and `du/dx = 16x^3`So, `dy/dx = (dy/du) * (du/dx) = 3u^2 * 16x^3 = 48x^3 * (4x^4 - 5)^2`Therefore, `f'(x) = 48x^3 * (4x^4 - 5)^2`.Hence, the answer is `f'(x) = 48x^3 * (4x^4 - 5)^2`.

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The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

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Answer: d

Step-by-step explanation:

yw

Question 13.

The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is

Question 14.

The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is

Therefore, the amount you will save on an energy-efficient refrigerator be

Hence, the amount saved on an energy-efficient refrigerator will be $180.

Answer:

C  ( 9 , 15)

Step-by-step explanation:

Answer:

x= 2√15

Step-by-step explanation:

in a right triangle, a^2+b^2= c^2

14^2+ x^2= 16^2

196+x^2= 256

x^2= 60

x= 2√15

Answer:

2+10=12

3+9=12

4+8=12

5+7=12

6+6=12