What is the slope of the line that contains the points (-2, 2) and (3, 4)?

Probability is the likelihood or chance of an event occurring.

In the given grid, there are 4 black points out of a total of 9 points.

Therefore, the probability of selecting a black point randomly is:

P(black) = Number of black points / Total number of points

= 4 / 9

= 0.444 or 44.4% (rounded to one decimal place)

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To consider whether this statement is true or not

   ⇒ must determine the number of milliliters in a liter

        ⇒ 1 Liter = 1000 milliliter

To compare both containers, lets set both containers in terms of milliliters

By looking at the data

  ⇒ the 3000-milliliter container holds more than the2-liter container

Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container

  ⇒ False

Answer: False

Hope that helps!

Answer:

False because 2 liters = 2,000 milliliters. Therefore that is not possible.

The average rate of change for the function is  (2cos(9) - 2cos(1)) / 2.

To find the average rate of change for the function f(x) = 2cos(x^2) on the interval [1, 3], we can use the formula:

Average rate of change = (f(b) - f(a)) / (b - a)

Here, a = 1 and b = 3. First, we need to evaluate f(a) and f(b):

f(1) = 2cos(1^2) = 2cos(1)
f(3) = 2cos(3^2) = 2cos(9)

Now, plug these values into the formula:

Average rate of change = (2cos(9) - 2cos(1)) / (3 - 1)
Average rate of change = (2cos(9) - 2cos(1)) / 2

This is the average rate of change for the function f(x) = 2cos(x^2) on the interval [1, 3].

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Answer:

i should know what the answer is but i dont and thats rlly sad lol

Answer:

4 i guess

Step-by-step explanation:

The value of expression  \(4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}\)  is \(\frac{157}{12}\).

We solve this type of fraction by firstly simplifying it into proper fraction. For simplifying it into proper fraction, we multiply denominator of the complex fraction with whole number given with fraction and then add the numerator of the complex fraction

e.g. \(4\frac{7}{12}\) = \(\frac{12*4+7}{12}\)

so, The given question can be written down as \(4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}\)

i.e. \(\frac{35}{12} +\frac{11}{4} + \frac{89}{12}\)

Taking LCM and then writing the equation again

\(\frac{35+33+89}{12}\)= \(\frac{157}{12}\)

Final answer, the simplified value will be \(\frac{157}{12}\)

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Answer:

24

Step-by-step explanation:

The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8

0..8 x 30= 24

The function that represents the total amount of money in both accounts at the end of three years as

First Bank - 107 P / 100

Second Bank - 10747 P / 10000

Simple interest :

    Simple interest can be calculated as follows

S.I = PRT / 100

Let the amount invested in two banks be 'P'

First Bank :

Given the first bank offers an interest rate of 3% for the first year and 2% for the next two years as

R₁ = 3%, R₂ = 2% T₁ = 1, T₂ = 2

Now the simple interest for the first bank is

S. I = PR₁T₁ / 100 + PR₂T₂ / 100

     = P(3*1 / 100 + 2*2 / 100)

     = P(3 / 100 + 4 / 100)

     = 7P/100

The total amount of money in the first bank at the end of three years is

= S.I + P

= 7P / 100 + P

= 107 P / 100

Second Bank:

Given the second bank offers an interest rate of 2.49% for the three years as

R = 2.49, T = 3

Now the simple interest for the second bank is

S. I = PRT / 100

     = P(2.49 * 3 / 100 )

     = P(7.47 / 100)

     = 7.47P/100

The total amount of money in the second bank at the end of three years is

= S.I + P

= 7.47P / 100 + P

= 107.47 P / 100

= 10747 P / 10000

Therefore, the function that represents the total amount of money in both accounts at the end of three years as

First - 107 P / 100

Second - 10747 P / 10000

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Answer:

Step-by-step explanation:

A recipe that calls for 1 and 3/4 cups of flour, but you want to make only one-third of the recipe. To determine how much flour you need, you can divide 1 and 3/4 by 3.

1 and 3/4 divided by 3 is equal to 7/4 divided by 3, which is the same as multiplying 7/4 by 1/3.

To solve this, you can convert 7/4 to an improper fraction:

7/4 = 1 and 3/4

So, 1 and 3/4 divided by 3 is equivalent to:

1 and 3/4 divided by 3 = (7/4) * (1/3) = 7/12

Therefore, you would need 7/12 cups of flour for your smaller cake recipe.

Answer:

Below

Step-by-step explanation:

This is a right traingle with legs 300 and 2250

Tangent = opp leg / adjacent leg

Arc tan (opp / adj) = arctan (300/2250) = 7.6°

Answer:

c

Step-by-step explanation:

got it right on edge

The answer choices that is same solution set as the inequality  y minus 8 less-than-or-equal-to negative 2(y - 8 ≤ - 2) is y minus 8 + 2 less-than-or-equal-to negative 2 + 2(y - 8 + 2 ≤  - 2 + 2)

An Inequality equation has the following signs <, >, ≤ and ≥.

Therefore,

y - 8 ≤ - 2

let's solve for y

y - 8 ≤ - 2

add 8 to both sides of the equation

y - 8 + 8 ≤ - 2 + 8

y ≤ 6

The answer choice with the same solution should be less than or equals to 6. Therefore,

y - 8 + 2 ≤  - 2 + 2

y - 6 ≤ 0

add 6 to both sides

y ≤ 6

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Answer:

The length is 120 yards, the width is 60 yards.

Step-by-step explanation:

\(l = 2w\)

\(2(w + 2w) = 360\)

\(3w = 180\)

\(w = 60\)

\(l = 120\)

Answer:

3/4

Step-by-step explanation:

Gradient=6/8=3/4

Answer:

|4| = |7|

this is the answer of this question

Let x be the number of books that need to be sold, then for the cost of the production and the profit to be the same we can set the following equation:

Subtracting 10x from both sides of the equation we get:

adding like terms we get:

Dividing by 11.75 we get:

Then the producer must sell 2592 books.

Answer: 2592.

Answer: x = 5, 7

Step-by-step explanation:

       This equation is already factored for us, so we can split it into two separate equations set equal to 0 and solve for x.

Given:

(x - 7)(x - 5) = 0

Equation #1:

x - 7 = 0

x = 7

Equation #2:

x - 5 = 0

x = 5

Solution:

x = 5, 7

Answer:

x = 5, x = 7

Step-by-step explanation:

(x - 7)(x - 5) = 0 ← in standard factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x - 5 = 0 ⇒ x = 5

Answer:

Step-by-step explanation:

It would be 30.33 repeating.

Answer:

30.33 yards

Step-by-step explanation:

36 inches to a yard, so divide the length value in yards by 36.

1092 / 36 = 30.33 yds

Answer:

x=16

Step-by-step explanation:

The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

On solving the query we can say that Answer: 33%, rounded to the function closest full number. D. 33% is the answer that is closest to the real one.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

The basketball squad has a total of 15 players, which is equal to 3 + 5 + 3 + 4.

There are five sophomores.

We may use the following formula to get the team's proportion of sophomores:

(Part/Whole) x 100 equals %

In this instance, the "part" is the quantity of sophomores, which is 5, and the "whole" is the overall player count, which is 15. Thus:

% = (5/15) multiplied by 100 percent equals 33.33

Answer: 33%, rounded to the closest full number. D. 33% is the answer that is closest to the real one.

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Answer:

1. Diego has to move 2 places back to be 25th .

2.a. Jade is right. She'll get 2 prizes .

2.b.The blueberry muffin and the carrot cake

Step-by-step explanation:

[Every fifth customer will get a free bagel.]`-------

This means that anyone on the line who is a multiple of 5 will get a free bagel. Example-  5th customer,10th customer, or the 15th customer and so on..

[Every ninth customer will get a free blueberry muffin]--------

This means that anyone on line who is a multiple of 9 will get a free blueberry muffin. Example- the 9th customer, 18th customer etc...

[Every 12th customer will get a free slice of carrot cake. ]----------

This means that anyone on line who is a multiple of 12 will get a free carrot cake. Example- the 12th customer, 24th customer, 36th customer etc...

THEREFORE, (ANSWERS TO THE QUESTION)

1. Yes, he is right  in order to get the prize. To get at least one prize, he should go two places behind and become the 25th customer {since he s a multiple of 5}.He will get a free bagel.

2.a. Yes, Jade will get a prize. She can get a free blueberry muffin and a free slice of carrot cake .

2.b. Yes, it is possible for Jade to win more than one prize because she is the 36th customer and 36 is a multiple of both 9 and 12

\(\\\)

Answer:

C. Estimate the probability using your simulation.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

1) Add up the cost of all items.

11+4.50+2.95=18.45

2) Compare with 18.

18.45>18

Therefore, Abdurrahman got what he asked for.

Answer:

\(147\pi \: {mm}^{2} \)

Step-by-step explanation:

If the diameter of the semicircle is 28 mm, that means its radius is half diameter:

\(r(semicircle) = 0.5 \times 28 = 14 \: mm\)

The radius of the semicircle is equal to the diameter of the smaller circle

The radius of the smaller circle is also half diameter:

\(r(smaller \: circle) = 0.5 \times 14 = 7 \: mm\)

Now, we can find the area of the smaller circle:

\(a(smaller \: circle) = \pi \times {r}^{2} = \pi \times {7}^{2} = 49\pi \: {mm}^{2} \)

We also have to find the area of the semicircle in order to find the area of the shaded area:

\(a(semicircle) = \pi \times {r}^{2} =\pi \times {14}^{2} = 196\pi \: {mm}^{2} \)

Now, let's subtract the area of the circle from the area of the semicircle and we'll have the answer:

\(a(shaded \: area) = 196\pi - 49 \pi = 147\pi \: {mm}^{2} \)

Answer:

The one that you selected is correct. The second  one.

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Arc MK is equal to the sum of arcs ML and LK.

You should survey at least 97 families in order to estimate the mean family income in the rural area of Florida with a margin of error of $1,000 and an expected standard deviation of $5,000, assuming a 95% confidence level.

To determine the sample size required for the survey, we need to consider the desired margin of error, the expected standard deviation, and the desired level of confidence. In this case, you mentioned that the margin of error should be within $1,000 and the expected standard deviation is $5,000. However, you didn't mention the desired level of confidence.

Typically, a 95% confidence level is used, which means we want to be 95% confident that the true mean family income falls within the margin of error. Based on this assumption, we can calculate the required sample size using the following formula:

n = (Z^2 * σ^2) / E^2

n = required sample size

Z = Z-score corresponding to the desired confidence level

σ = standard deviation

E = margin of error

For a 95% confidence level, the Z-score is approximately 1.96 (assuming a normal distribution).

Substituting the values into the formula, we get:

n = (1.96^2 * 5000^2) / 1000^2

n ≈ (3.8416 * 25,000,000) / 1,000,000

n ≈ 96,040,000 / 1,000,000

n ≈ 96.04

Since you cannot have a fraction of a family, you would need to round up the sample size to the nearest whole number. Therefore, you should survey at least 97 families and an expected standard deviation of $5,000, assuming a 95% confidence level.

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