Can you assume intersection of lines from a diagram

Answer:

any of the below:

Step-by-step explanation:

12/30

6/15

2/5

Answer:

2/5, or 40%.

Step-by-step explanation:

Write it as a fraction first, then reduce it to simplest form.

12/30

Simplest form is 2/5, or 40%

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

The difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

The third option is correct.

What is the standard deviation?

Standard deviation is a statistical measure of the spread of a dataset, defined as the square root of its variance. It is a way to quantify the amount of variation or dispersion of a set of data values.

Percentage of Dogs getting their teeth cleaned = 48% = pD

Percentage of Cats getting their teeth cleaned = 35% = pC

Number of Dogs selected = nD = 25

Number of Cats selected = nc = 32

As the sample sizes are large enough, we can apply Central Limit Theorem

According to Central Limit Theorem for proportions –

pD-hat ~ Normal(pD, {pD*(1-pD)}/nD)

Thus, pD-hat ~ Normal(0.48, 0.009984)

Similarly,

pC-hat ~ Normal(pC, {pC*(1-pC)}/nC)

Thus, pC-hat ~ Normal(0.35, 0.0071094)

Now if X ~ N(E(X), Var(X)) and Y ~ N(E(Y), Var(Y))

then X -Y ~ N(E(X)-E(Y), Var(X)-Var(Y)) (If X and Y are Independent)

Thus,

pD-hat - pC-hat ~ Normal(0.48-0.35, 0.009984 – 0.0071094)

pD-hat - pC-hat ~ Normal(0.13, 0.0028746)

Thus, Standard Deviation of pD-hat - pC-hat = (0.0028746^0.5) = 0.0536 that is 0.054 approximately

Hence, the difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

Third Option is correct.

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Explanation:

Answer:

Step-by-step explanation:

The area must be 232 in^2

As per the unitary method, it take 3 minutes will it take John to reach the flagpole.

The term unitary method in math is defined as in which the value of one article is first obtained to find out the value of any required articles.

Here we have given that John is jogging on a straight jogging trail toward a flagpole at a speed of 500 ft/min. He is currently 1500 feet from the flagpole. And here we have to write an absolute value function that models John's distance from the flagpole after x minutes.

Here let us consider x be the time taken by John to reach the flagpole.

And here we know that

speed = 500 ft/min

height = 1500 feet

Then the absolute function for the given situation is written as,

=> f(x) = 500|x|

Apply the value of f(x) as 1500, then we get

=>  1500 = 500|x|

=> x = 3

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

x²+9

Step-by-step explanation:

F(x)=x+3

G(x)=x²

now

gof(x)=g.(x+3)

=(x+3)²

=x²+9

Answer:

2(x+2)= 3x-6

2x+4= 3x-6

x=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

tax = 1/20 of price

1/20 of $3 = 1/20 × 3 = 3/20 = $0.15

1/20 of $800 =  1/20 × 800 = $40

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

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

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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Answer:

60 degrees and 100 degrees

Step-by-step explanation:

360 - (190 + 10) = sum of other two angles

360 - 200 = 160

160/(3+5) = 160/8 = 20

20 × 3 = 60 degrees, 20 × 5 = 100 degrees

Therefore , the solution of the given problem of matrix comes out to be matrix A's (3,4)th place is -1.

A matrix is a group of numbers arranged in rows and columns to form a rectangular array. The numbers make up the matrix's constituents or parts. Matrix algebra is widely used in many branches of mathematics, as well as in the sciences of architecture, physics, economics, and statistics.

Here,

Given that matrix A has 4 rows and 5 columns,

=> it has a dimension of 4 x 6.

=> -1, 2, 3, 4, and 5 are the values in the fourth row of matrix A.

=> 2, 0, 6, and -3 are the values in matrix A's third column.

The entry in matrix A's (3,4)th place is -1.

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Answer:

The firsts one is -93

The second is -20

Step-by-step explanation:

Just add the numbers yo each number togetherput a negative sign in front and you have your answer. For how to add a negative.

Note If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

Answer:

The highest card already drawn is the 10 of hearts, so we need to find the probability that the next card drawn is a jack, queen, king, or ace. There are 16 of these cards in the deck (4 jacks, 4 queens, 4 kings, and 4 aces) out of a total of 47 cards left in the deck (since 5 cards have already been drawn).

Therefore, the probability of drawing a winning card is 16/47, which is approximately 0.34 or 34%. None of the given answer choices match this calculation, so there must be a mistake in the problem or in the answer choices.

The required, probability of drawing a winning card is 25%. Option D is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

There are 52 - 4 = 48 cards remaining in the deck after the 4 cards have been drawn. To win, the player needs to draw a card with a value higher than 10. There are 3 aces and 3 jacks, 3 queens, and 3 kings left in the deck that can satisfy this condition, for a total of 12 winning cards.

Therefore, the probability of drawing a winning card is:

P(winning) = number of winning cards/number of remaining cards

= 12 / 48

= 1 / 4

= 25%

So, the answer is D. 25%.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

The answer would be x=4.  

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2x+3(5x−7)=47

2x+(3)(5x)+(3)(−7)=47(Distribute)

2x+15x+−21=47

(2x+15x)+(−21)=47(Combine Like Terms)

17x+−21=47

17x−21=47

Step 2: Add 21 to both sides.

17x−21+21=47+21

17x=68

Step 3: Divide both sides by 17.

17x/17=68

17x=68

x=4

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Richard: 12 cookies

Meghan: 10 cookies

If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.

12 - x = 10 - x/2

If x = 4

12 - 4 = 10 - 4/2

8 = 8

Which confirms that Richard would have to eat 4 cookies for them to have the same amount.

I hope this helps! :)

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

B. 20

Step-by-step explanation:

5P2 is equal to 20 using the permutation formula.

a) The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point on the line.

Given that the x-intercept is 11, we know that the line passes through the point (11, 0) on the x-axis. Similarly, given that the y-intercept is 6, we know that the line passes through the point (0, 6) on the y-axis.

Let's use (11, 0) as our point (x1, y1) and find the slope:

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (0 - 11) = -6/11

Substituting this slope and the point (11, 0) into the point-slope form, we get:

y - 0 = (-6/11)(x - 11)

Simplifying, we get:

y = (-6/11)x + 6/11

So the linear function in the form y - y1 = m(x - x1) is:

y - 0 = (-6/11)(x - 11)

And the linear function in the form y = mx + c is:

y = (-6/11)x + 6/11 (by simplifying the equation obtained from the point-slope form)

b) To find the equation of the line in slope-intercept form (y = mx + c), we need to find the slope and y-intercept of the line.

Given that the x-intercept is 11, we know that the line passes through the point (11, 0) on the x-axis. Similarly, given that the y-intercept is 6, we know that the line passes through the point (0, 6) on the y-axis.

Let's use the two points (11, 0) and (0, 6) to find the slope:

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (0 - 11) = -6/11

Now that we have the slope, we can use the y-intercept to write the equation in slope-intercept form:

y = mx + c

y = (-6/11)x + 6

So the linear function in the form y = mx + c is:

y = (-6/11)x + 6.

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Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6  so we add one to the second place.

i tryed my best

The decimal number rounded to 2 decimal places is 89.62

Given data:

The decimal number is represented as 89.6162

To round 89.6162 to two decimal places, we look at the third decimal place.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Since the digit in the third decimal place is 6, which is greater than or equal to 5, we round up the second decimal place.

Hence, rounding 89.6162 to two decimal places, the number is 89.62

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