Create a story connecting Sylvia’s process for emptying, cleaning, and then filling the pool to the graph you have created. Do your best to use appropriate math vocabular

Answer:

In Step 4, the inequality sign should be flipped.

Step-by-step explanation:

Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.

The final answer should be:

\(\frac{-27}{10} \geq x\)

Answer:

1/-4 <= x

Step-by-step explanation:

1x/3 + 9 <= -3x

9 <= -3x -1x/3

9/9 <= (-3x -1x)/9

1 <= -4x

1/-4 <= x

Answer:

11 x 2

Step-by-step explanation:

By BODMAS rule,

B - Brackets

O - Orders

D - Division

M - Multiplication

A - Addition

S - Substraction

Consider DMAS alone.

Here, there is no division.

So,

Multiplication ( x ) should be the first step.

Given functions are:\($f(x) = \frac{8}{x - 4}$\) and \(g(x) = 2x - 6\). Now we have to find out the domain of the given functions and also find out the domain of f(g(x)) which is (fog)(x).

(a) Domain of f(x)Domain of f(x) is the set of all the real numbers except the number 4.

Because at x = 4, the denominator of the function f(x) becomes zero, which means the function is undefined at x = 4.

Domain of \(f(x) = (-∞, 4) U (4, +∞)\)

(b) Domain of g(x) Domain of g(x) is the set of all the real numbers because the domain of a linear function is all the real numbers

.Domain of\(g(x) = (-∞, +∞)(c) (fog)(x)\)

To find (fog)(x),

we need to substitute g(x) into the function f(x).

\(fog(x) = f(g(x))fog(x)\)

\(= f(2x - 6)\)

Replace the g(x) in \(f(x) with 2x - 6.fog(x)\)

\(=\frac{8}{(2x - 6 - 4)fog(x)}\\=\frac{8}{2(x - 5)fog(x)}\\=\frac{4}{(x - 5)}\)

Therefore, \((fog)(x)=\frac{4}{(x - 5)}\)

(d) Domain of (fog)(x)The domain of (fog)(x) is the same as the domain of g(x) which is all the real numbers except when the denominator is zero, so the function is undefined.

In this case, the denominator can never be zero, so the domain of (fog)(x) is all the real numbers.

Domain of\((fog)(x) = (-∞, +∞)\)

Answer:(a) Domain of \(f(x) = (-∞, 4) U (4, +∞)\)

(b) Domain of \(g(x) = (-∞, +∞)\)

(c) \((fog)(x)=\frac{4}{(x - 5)}\)

(d) Domain of \((fog)(x) = (-∞, +∞)\)

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Answer: This question is asking for your answer, so it is asking for a possibility of what the person responds with.

Step-by-step explanation:

Here is an example:

The school takes a survey on what snacks they should add

Sample:

I think that they should add healthier snacks like carrots.

Answer:

it is the answer check out.

Step-by-step explanation:

I hope it can help you

Answer:

see below

Step-by-step explanation:

Angle C is equal to the 1/2 the difference of the two arcs

C = 1/2 ( large DC - small DC)

Large DC = ( 360 - 5x - 2)   sum of a circle is 360 degrees

Small DC = 5x-2  the central angle is equal to the intercepted arc

C = 1/2 ( 360 - 5x-2 - ( 5x -2))  Angle Formed by Two Intersecting Chords

C = 1/2 ( 360 - 2 ( 5x-2))

Distributing the 1/2

C = 180 - (5x-2)

Replacing the C with 2x+7

2x+7 = 180 - (5x-2)

Add 5x-2 to each side

2x+7  +5x-2  = 180

Antonio is correct

Combine like terms

7x +5 = 180

7x = 175

Divide by 7

x =25

Then solve for A = 5x-2

A = 5*25-2

   = 125-2

   = 123

Answer:

if no one answers pic b cuz i got good luck

Step-by-step explanation:

Answer:

x = 14

Z = 60°

Step-by-step explanation:

9x - 6 = 12x - 48      (because these are congruent vertical angles)

-3x = -42

x = -42/-3 = 14

Find the measure of the vertical angles:

9(14) - 6 = 120   (this angle is supplementary to angle Z)

180 - 120 = 60 = m∠Z

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

33+3×7=54

Step-by-step explanation:

ysysushshsueueueueieie

Answer:

54 (the answer to this equation is 54)

Step-by-step explanation:

Hope This Helped! Good luck :)

Manager: According to the question Pam randomly picked 25 balls out of the 500 balls in the box.

A manager is a person responsible for overseeing and supervising the work of a group of individuals, which can include employees, volunteers, or subcontractors. They set goals, develop strategies, and make decisions on behalf of their organization. Managers also provide guidance and direction to their team and are responsible for determining how best to utilize the resources available to achieve organizational objectives. Managers are usually held accountable for the performance of their team, and they must ensure that their team is working efficiently and effectively to meet the organization's goals. Good managers are strong communicators and mentors, as well as having a keen understanding of the industry in which their organization operates.

This means that the probability of picking a white ball is 15/25 = 0.6,
the probability of picking a yellow ball is 4/25 = 0.16 and the probability of picking a green ball is 6/25
= 0.24.

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Using probability, we can find that the number of white ping pong balls in the box is = 300.

Probability describes the likelihood that an event will occur or not. In real life, there are many situations where we might need to make predictions about how something will turn out. It's possible for us to know or not know how an event will turn out. This is when we use the phrase "there is a chance that the event will happen or not." Probability is a useful tool that may be used in a variety of contexts, including gaming, corporate forecasting, and this newly developed area of artificial intelligence.

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative.

Here in the question,

Pam picked up 25 balls out of 500.

Number of white balls picked by Pam = 15

Now, estimate of number of white balls in the box =

(Number of white balls picked)/ (Total number of balls picked) × Total balls.

= 15 /25 × 500

= 15 × 20

= 300.

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The complete question is:

A new ping-pong table and big box of 500 ping-pong balls in assorted colors were delivered to the Family Fun Zone. Pam, the manager, randomly picked 25 balls out of the box. She picked 15 white, 4 yellow, and 6 green ping-pong balls. Estimate how many white ping pong balls are there in the box?

Answer:

1. k=5

2. a= -7

3. n=4

4. n=1

5.x=0

6. r= -4

7. b=31

8.n= -3

Step-by-step explanation:

4(3x-1)=9-x

12x-4=9-x

12x+x=9+4

13x=13

x=13/13

x=1

Andrew needs to score 99 on his fifth science test in order to have an average of 93 across all five tests.

To find out what score Andrew needs to earn on his fifth science test, we can use the concept of averages. The average of a set of numbers is calculated by adding up all the numbers and then dividing the sum by the total number of values.

Andrew has already taken four science tests, and their scores are given as 87, 89, 97, and 95. To calculate the average, we add up these four scores: 87 + 89 + 97 + 95 = 368.

Now, we need to consider the fifth test score that Andrew needs to achieve. Let's call it x. To have an average of 93 across all five tests, we need to divide the sum of all the scores (including the fifth test score) by 5 (the total number of tests): (368 + x) / 5 = 93.

We can solve this equation for x by isolating it on one side. Multiplying both sides by 5 gives us 368 + x = 465. By subtracting 368 from both sides, we find x = 465 - 368 = 97.

Therefore, Andrew needs to score 97 on his fifth science test to have an average of 93 across all five tests.

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In part a, we will calculate the number of square inches in a pizza with a 16-inch diameter. In part b, we will calculate the number of square centimeters in a pizza with a 27.8-centimeter diameter.

Part a: To find the area of the pizza in square inches, we need to calculate the area of a circle with a diameter of 16 inches. The formula for the area of a circle is \(A=\pi r^2\), where r is the radius. Since the diameter is given, we can find the radius by dividing the diameter by 2. So, the radius of the pizza is 16/2 = 8 inches. Plugging this value into the formula, we get \(A = \pi (8^2) = 64\pi\) square inches.

Part b: To find the area of the pizza in square centimeters, we need to calculate the area of a circle with a diameter of 27.8 centimeters. Again, we use the formula \(A=\pi r^2\), but this time we need the radius in centimeters. The radius is 27.8/2 = 13.9 centimeters. Plugging this value into the formula, we get \(A = \pi (13.9^2) = 191.04\pi\) square centimeters.

Part c: To convert the area from part a (in square inches) to square centimeters, we need to know the conversion factor. Given that 1 inch is equal to 2.54 centimeters, we can square this conversion factor to get the conversion factor for area.

So, 1 square inch is equal to \((2.54)^2 = 6.4516\) square centimeters. Multiplying the area from part a (64π square inches) by the conversion factor, we get 64π * 6.4516 square centimeters, which simplifies to 412.96π square centimeters.

Therefore, the pizza from Tallahassee has an area of 64π square inches, the pizza from Jaco, Costa Rica has an area of 191.04π square centimeters, and the conversion of the pizza from Tallahassee to square centimeters is approximately 412.96π square centimeters.

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The studentized range statistic (q) is used in multiple comparison tests to determine significant differences between group means. To find the df for the error term, we need to look at the table provided.

From the table, we can see that the degrees of freedom (df) are given for different values of q. For example, when q is 2.95, the df for the error term is 2.92. Similarly, for q = 3.58, the df is 3.44.

To determine the df for the error term, we need to find the corresponding value of q in the table and read off the df.

In conclusion, to find the df for the error term, you need to match the value of q in the table and read off the corresponding df. Make sure to check the values in the table for the exact match.

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Answer:

positive 2 is the opposite

Answer and Step-by-step explanation:

0 to the power of 4 is 0.

#teamtrees #PAW (Plant And Water)

Answer:3rd one

Step-by-step explanation:DO THIS CAREFULLY

The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:

(6x - 7)² = (6x - 7)(6x - 7)

Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:

(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)

Simplifying each term:

= 36x² - 42x - 42x + 49

= 36x² - 84x + 49

Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

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Answer:

726.65 cubic inches

Step-by-step explanation:

We are going to assume that the head, middle and bottom are spheres.

The formula to get the volume of a sphere is

\(V= \frac{4}{3}\pi r^{2}\) where r is the radius of the sphere.

Now, let's proceed to apply this formula to the 3 spheres of the snowman:

The head is 12 inches wide (diameter), thus, the radius would be 6 inches:

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 6^{2}\\V= \frac{4}{3}\pi 36\\V=\frac{144\pi }{3} \\V=38\pi\) cubic inches

The middle is 16 inches wide (diameter), thus, the radius would be 8 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 8^{2}\\V= \frac{4}{3}\pi 64\\V=\frac{256\pi }{3} \\V=85.3\pi\)  cubic inches

The bottom is 18 inches wide (diameter), thus the radius would be 9 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 9^{2}\\V= \frac{4}{3}\pi 81\\V=\frac{324\pi }{3} \\V=108\pi\) cubic inches.

Now, to get the total volume of the snowman we're going to sum up the volume of all three spheres:

Total volume = \(38\pi +85.3\pi +108\pi =231.3\pi\) cubic inches.

If we take pi = 3.1416,

Total volume = \(231.3(3.1416)=726.65\) cubic inches.

Answer:

32x

Step-by-step explanation:

Answer:

123.88 square units

Step-by-step explanation:

r = radius of circle

  = radius of sector

 = Length of LM

 = Length of MN

 = 13 units

When the angle is measured in degrees:
Area of a sector: \(\frac{Angle OfSector}{360^{o}}\)× \(\pi r^{2}\)

                = \(\frac{84}{360}\)×\([\pi (13)^{2}]\)

                = 123.883 \(units^{2}\)

                = 123.88 square units (Rounded to the nearest hundredth)

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

$2,500 + M = T

M is checking account

T is total amount

Hope this help! :)

Step-by-step explanation:

???

this is completely simple :

4x < 32

x < 8

The value of x which is the missing angle of the triangles is; x = 30°

We know that Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Thus, if we label the vertex with the unknown angle in the smaller triangle as A, then by the alternate angle theorem, we can say that;

∠A = 2x

Thus, from sum of angles in a triangle equals to 180°, we can say that;

x + 2x + 90 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30°

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Answer:

8.50f + 3.00h = 24

Step-by-step explanation: