You sprinkle 5 grams of sugar on your cereal. Sugar has a density of 1.59 g/cm³. What is the volume of the sugar you put on your cereal?

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Answer:

yes

Step-by-step explanation:

because although some of the other are missing to be a function, it has to have an element of x and of y, it does not matter that some do not have it with one of y and one of x is enough

And if you are talking about relation it is also because they comply with the rules

Answer:

(B). 8 units

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8

Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

Answer:

It is 300 + 10 + 1.

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

just divide 3/11

Answer:

slope is \(-\frac{1}{2}\)

Answer:

sorry man can't help you with this one

We can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment.

To determine the probability of a household not donating to the public television station given that it donates to the public radio station, we would need to have data on the number of households that donate to both stations as well as the number of households that only donate to the public radio station. Without this information, it is not possible to calculate the probability.

However, we can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment. To answer your question about the probability a household does not donate to the public television station given that they donate to the public radio station, we would need more information. Specifically, we would need the joint probability of donating to both stations and the probability of donating to the public radio station.

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The starting price of the toys was $7.50.

What is addition?

Addition is a basic arithmetic operation that combines two or more numbers to get a sum or a total. It is represented by the "+" symbol. When we add numbers, we are finding the total amount when we combine them.

Let's assume the starting price of the toys as "x".

After the first hour, the price of the toys will be "x - 0.25".

After the second hour, the price of the toys will be "x - 0.25 - 0.25 = x - 0.5".

Similarly, after the third hour, the price of the toys will be "x - 0.75".

We can see that the price of the toys decreases by $0.25 every hour. So, after the 8th hour, the price of the toys will be:

x - (0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25)

= x - (8 x 0.25)

= x - 2

We know that after the 8th hour, the price of the toys is $5.50. So we can write:

x - 2 = 5.50

Adding 2 to both sides:

x = 7.50

Therefore, the starting price of the toys was $7.50.

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Answer:

100%

Step-by-step explanation:

87/87 = 100%

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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Answer:

d)  (-1,0) and (0,0)

Step-by-step explanation:

2x + y ≤ 5

y ≤ -2x + 5

-2x ≤ y + 2

y ≥ -2x - 2

the points in answer (d) make each of the inequalities True

Answer:

f(x)-h(x) = 6x - 12

Explanation:

Given the functions f(x) and h(x) defined as follows:

We want to find: f(x)-h(x)

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

Answer:

x^2 = 9x

x^2 - 9x = 0

x(x-9) = 0

x=0 or x=9

Answer:

which grade question is this

Because of this, we need to choose 16 integers in such a way that we can ensure that when they are divided by 15, at least two of them will provide the same residual.

This is further explained below.

Generally,  If you divide a number by 15, the result is a fraction. There are 15 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.

That is to say, if we choose one number and divide it by 15, there is a chance that the remainder may be any of the 15 (0 reminders 14). Therefore, if we choose 15 numbers, we will have the opportunity to pick 15 unique reminders, ranging from 0 to 14.

In conclusion, if we select one more integer, that is we pick 16 integers, then at least two of them would have the same reminder since there are only 15 reminders and 16>15, and by the pigeonhole principle.

Because of this, we need to choose 16 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 15.

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Answer:

7:9

Step-by-step explanation:

boys:girls

14:18

simplify -- divide by 2

7:9

Answer:

7:9

Step-by-step explanation:

so we start of with 14 boys to 18 girls, but we need to simplify it.

so we half both numbers to get to 7:9.

this is the most simplified form of this ratio.

the answer is 7:9

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

Answer:

k=-4

Step-by-step explanation:

f(x) translates down 4 from g(x)

The four students; Michal, Hypatia, clodoveo and Jamal's attempt to explain the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is incorrect

This means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

Using PEMDAS

Correct workings:

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

3 - 5 × (1 × 2)² - 1 + 2(-1)³

= 3 - 5 × (2)² - 1 + 2(-1)

= 3 - 5 × (4) - 1 - 2

= 3 - 20 - 3

= - 20

In conclusion, the correct simplification of the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is -20

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Answer:

24

Step-by-step explanation:

Answer:

5.64 cm

Step-by-step explanation:

Required:How much more rain fell in Dubaku's town than in Elliot's town?

8 centimeters of rain fell in Dubaku's hometown

2.36 centimeters of rain fell in Elliot's hometown

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 cm.

Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.

Answer:

5.64

Step-by-step explanation:

The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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Answer:

Step-by-step explanation:

Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.

The correct answer is C.

Daily operational procedures or tasks supported by an operational database are as follows:

Deducting the correct amount of money from a customer's checking account upon an ATM withdrawal Issuing a correct bill to a customer who purchased an airline ticket. The process of ensuring that operational data is available for business operations is known as operational database support. The support team must respond quickly to customer issues, and the information required to respond to customer inquiries must be readily available. In order to ensure that every customer interaction is successful, companies must strive for service excellence. They must be familiar with customer preferences and offer the services that meet their expectations.

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Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

Answer:

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

Step-by-step explanation:

hope this helps.

Answer:

18.2=36

2.18+38=98

Step-by-step explanation:

The function that gives the volume v(r) of the cone when the height of 18 cm as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

Given that:

The height of the cone = 18 cm

The radius of the cone's base at a rate of = 2 cm.

The radius r increases at a rate of 2 cm per minute,

At t = 1,

The radius will be r =  2+ 2t

The volume of the cone is given by  \(\dfrac{1}{3} \pi r^3\).

V = \(\dfrac{1}{3} \pi r^3 h\)

 =  \(\dfrac{1}{3} \pi (2+ 2t)^2(18)\)

 =  6\pi (4+ 8t+4t^2)

= \(24 \pi + 48\pi t + 24\pi t^2\)

The function that gives the volume v(r) of the cone as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

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Answer:

525/50=10.5 it will take 10.5 weeks to get rid of every car we however only need to have below 75 so 525/50w<75

Step-by-step explanation:

First you need to divide 525 by 50 to show how many weeks it will take to sell all the cars. And then it should be one less week than the answer you just reacieved.

The slopes of the secant line PQ for x = 3, x = 4, and x = -1 are 6, 6, and 8/3 (or approximately 2.67) respectively.

The point P(2, 9) lies on the curve y = x^2 + x + 3. If Q is the point (x, x^2 + x + 3), find the slope of the secant line PQ for the following values of x.

To find the slope of the secant line PQ, we need to calculate the change in y divided by the change in x between the two points P and Q. The formula for slope is (y2 - y1) / (x2 - x1).

Let's substitute the coordinates of P and Q into the formula:

For x = 3:
P(2, 9), Q(3, 15)
Slope = (15 - 9) / (3 - 2) = 6 / 1 = 6

For x = 4:
P(2, 9), Q(4, 21)
Slope = (21 - 9) / (4 - 2) = 12 / 2 = 6

For x = -1:
P(2, 9), Q(-1, 1)
Slope = (1 - 9) / (-1 - 2) = -8 / -3 = 8/3 or approximately 2.67

Therefore, the slopes of the secant line PQ for x = 3, x = 4, and x = -1 are 6, 6, and 8/3 (or approximately 2.67) respectively.

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