Jose's school is 4 km away. He walked 30 min at 5 km/hr when he realized he was running late and started running. How fast does he need to to make it to school before the bell rings in 15 minutes.

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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g

Step-by-step explanation:

555446 y 4

Awnser

8 gallons of cans

Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

Answer:

27%

Step-by-step explanation:

3000 + 3500 + 4000 + 4200 = 14700

4000 / 14700 ≈ 0.27

0.27 = 27%

9514 1404 393

Answer:

  B.  (4, 28)

Step-by-step explanation:

Substitute the value of x into the first equation. This gives you the value of y.

After substitution, we have ...

  y = 8(4) -4

  y = 28

Then the point is (x, y) = (4, 28).

Answer:

am 50%

Step-by-step explanation:

I try my best

Answer:

10%

Step-by-step explanation:

Answer:

7i-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

A

Explaination: you are just rotating the rhombus

Answer:

a. Rhombus ABDC is congruent to rhombus A'B'C'D

Step-by-step explanation:

the area/angles of ABCD did not change after rotation(becoming A'B'C'D)

a) There are 96 solutions.

b) There are 76 solutions.

c) There are 495 solutions.

a) In this equation, we need to find the number of positive integer solutions for a1 + a2 + a3 + 04 = 100. Since a1, a2, a3, and a4 are positive integers, we can consider this as a problem of distributing 04 identical items among 3 distinct boxes.
Using the stars and bars combinatorial technique, the number of solutions can be calculated as (n + r - 1) C (r - 1), where n is the total number of items and r is the number of boxes. Substituting the values, we have (4 + 3 - 1) C (3 - 1) = 6 C 2 = 6! / (2! * 4!) = 15.

However, since a1, a2, and a3 cannot be zero, we subtract 1 from the result, giving us 14 solutions.

b) For this equation, a1 + a2 + a3 + 24 + a5 = 100, we need to find the number of non-negative integer solutions with a restriction that a1 > 5. First, let's ignore the restriction. Similar to part (a), we can use the stars and bars technique to find the solutions for a1 + a2 + a3 + a5 = 76 (100 - 24).

Using the formula, we have (76 + 4 - 1) C (4 - 1) = 79 C 3 = 79! / (3! * 76!) = 18,424 solutions. However, we need to exclude the cases where a1 is less than or equal to 5. In these cases, we can treat a1 as a new variable a1' = a1 - 6, and the equation becomes a1' + a2 + a3 + a5 = 70 (76 - 6).

Using the same technique, we have (70 + 4 - 1) C (4 - 1) = 73 C 3 = 389,034 solutions. Thus, the total number of solutions satisfying the given conditions is 18,424 - 389,034 = -370,610. However, since we cannot have negative solutions, the actual number of solutions is 0.

c) In this equation, a1 + a2 + a3 = 100, we need to find the number of non-negative integer solutions with the restriction that a3 < 10. We can approach this by considering the values of a3 from 0 to 9 and calculating the number of solutions for each case.

For a3 = 0, we have a1 + a2 = 100, which follows the stars and bars technique and has (100 + 2 - 1) C (2 - 1) = 101 C 1 = 101 solutions. Similarly, for a3 = 1, we have (99 + 2 - 1) C (2 - 1) = 100 C 1 = 100 solutions. Continuing this pattern for a3 = 2 to a3 = 9, we get a total of 101 + 100 + ... + 92 + 91 = 1,010 solutions.

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Step-by-step explanation:

Given

mZEFH = (5x + 1)'

mZHFG = 62°

mZEFG = (18x + 11)',

The addition property of the angle is true

mZEFG = mZEFH + mZHFG

(18x + 11) = (5x + 1)'+  62

18x+11 = 5x + 63

collect like terms

18x - 5x = 63-11

13x = 52

divide both sides by 13

13x/13 = 52/13

x = 4

Since angle mZEFH = (5x + 1)' and x = 4, we will substitute x = 4 into the function;

mZEFH = 5(4) + 1

mZEFH = 20 + 1

mZEFH = 21°

Similarly for mZEFG = (18x + 11)'

mZEFG = 18(4) + 11

mZEFG =72+11

mZEFG = 83°

Grayce has 0.825 g of diamonds and Morgan has 0.824 g of diamonds. Grayce has more grams of diamonds

From the question, we are to determine the person that has more grams of diamonds

From the given information,

"Grayce has three diamonds that weigh 0.275 g each"

and

"Morgan has two diamonds that weigh 0.412 g each"

Thus,

The total mass of Grayce's diamonds is 3 × 0.275 g

3 × 0.275 g = 0.825 g

Also,

The total mass of Morgan's diamonds is 2 × 0.412 g

2 × 0.412 g = 0.824 g

Since 0.825 is greater than 0.824,

Then,

Grayce has more grams of diamonds.

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1. (-5,-12)

2. (3,-4)

To identify the constant H and K

- You need to write the given equation in vertex form

- Use complete the square method to write in vertex form

- The vertex form is

\(a (x - h) ^{2} + k\)

- after writing the equation in the world storm you can see that there is a h and a k

- Pull the h and the k in into (h,k)

I can't do all of it so I'll do 2 for you and with explanations.

Answer:

x=12

Step-by-step explanation:

25°+114°+(5x-19)°=180°

139°+(5x-19)=180°

5x-19=180-139

5x-19=41

5x=41+19

5x=60

x=60/5

x=12

The solutions to the given system of equations are x = 6 and y = -5

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the first equation by 5 and the second equation by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

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

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

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Step-by-step explanation:

y- 6 = 1/2 (x-2)

y -6 = 1/2x - 1

y = 1/2x + 5

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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Answer:

The left side

−

16

does not equal to the right side

−

7

, which means that the given statement is false.

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

9+6-31=-7 -16=-7

Answer:

Below in bold.

Step-by-step explanation:

10,16,22,28

16-10 = 6, 22-16 = 6 and 28-22 = 6

This is an arithmetic sequence with first term a1 = 10 and common difference d = 6

General (nth) term = a1 + d(n - 1)

10th term =  10 + 6(9 -1)

                 =  10 + 48

                 = 58.

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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Answer:

What the difference between an expression and an equation?

Image result for This equation shows how the total pages of notes in Jessica's notebook depends on the number of hours she spends in class.p = 4 The variable h represents the hours she spends in class, and the variable p represents the total pages of notes taken. After attending 1 hour of class, how many total pages of notes will Jessica have in her notebook?

An expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. Here are some examples of expressions. An equation is a mathematical sentence that says two expressions are equal.

Step-by-step explanation:

Answer:

y = -5/3x - 22/3

Step-by-step explanation:

M = -5/3

Ozone can be both harmful and beneficial to health, depending on its location in the atmosphere and the levels at which it is present.

In the stratosphere (the layer of the atmosphere that is located about 10-50 kilometers above the Earth's surface), ozone is a beneficial gas that protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the sun. However, at ground level, ozone can be harmful to health, particularly for people with respiratory problems such as asthma.

Exposure to high levels of ozone can irritate the respiratory system and cause coughing, throat irritation, and chest pain. It can also worsen bronchitis, emphysema, and other lung diseases. Ozone can also reduce lung function and inflame the linings of the lungs, leading to more serious health problems.

It is important to note that ground-level ozone is not emitted directly into the air, but is formed when pollutants from sources such as vehicle exhaust, power plants, and industrial facilities react with sunlight and heat.

Therefore, Ozone can be both harmful and beneficial to health.

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The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.

The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation

In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean

Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112

Therefore, the value that corresponds to the z-score of 2 for this sample is 112.

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Answer:

3

Step-by-step explanation:

→ Calculate the change in y coordinates

9 - 6 = 3

→ Calculate the change in x coordinates

3 - 2 = 1

→ Divide the answers

3 ÷ 1 = 3