|x/3| if x>0


HELP IT IS RSM

Answer:

1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

8 tons = 16000 pounds

conversion:

1 tons ➟ 2000 pounds

8 tons ➟ (2000 * 8) pounds

8 tons ➟ 16000 pounds   ⚡⚡

The amount 8 tons in pounds can be written as 16, 000 pounds.

To convert 8 tons to pounds,

we need to know that 1 ton is equal to 2,000 pounds.

We know that when a smaller unit converted to big unit then we have to multiply.

So, the conversion of 8 tons to pounds

= 8 tons x 2,000 pounds/ton

= 16,000 pounds

Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.

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An equation that represents the data in the table include the following:

A. y – 6 = -5/4(x + 2)

B. y – 2 = -5/4(x – 1)

E. y – 3.5 = –1.25x

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3.5 - 6)/(0 + 2)

Slope (m) = -2.5/2

Slope (m) = -5/4

At data point (-2, 6) and a slope of -5/4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -5/4(x + 2)  

At data point (2, 1) and a slope of -5/4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = -5/4(x - 2)  

At data point (0, 3.5) and a slope of -5/4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3.5 = -5/4(x - 0)  

y – 3.5 = –1.25x

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Complete Question:

Which equations represent the data in the table? Check all that apply.

y – 6 = -5/4(x + 2)

y – 2 = -5/4(x – 1)

y + 2 = -5/4(x – 6)

y – 1 = -5/4(x – 2)

y – 3.5 = –1.25x

Answer: A, D, E

Step-by-step explanation:

Answer:

Step-by-step explanation:A function is a mathematical rule that assigns each value of the independent variable to exactly one value of the dependent variable. In other words, a function is a relationship between two sets of values, where each input value (independent variable) is mapped to a unique output value (dependent variable). The independent variable is usually denoted by x, while the dependent variable is denoted by y. The function is often expressed as y = f(x), where f is the name of the function. The values of x that can be used as input are called the domain of the function, while the values of y that can be output by the function are called the range of the function.

Answer:

i am pretty sure it is 95

Step-by-step explanation:

Answer:

B IS THE ANSWER.

Step-by-step explanation:

The angle is less than 50 degrees but more than 30.

Answer:

Look at attached picture.

Step-by-step explanation:

Since the lines are parallel with a transversal, we're using theorems.

I hope this helps!

The term do economists use to describe the reason people act or behave in predictable ways will be rationality.

For economists, being rational simply implies that, when faced with a decision, you will pick the option you find most appealing.

Economic rationalism acknowledges that people have preferences and does not judge them as good or evil. This may give the idea of the reason for the appearance of being absurd.

But for economists, rationality is important because it allows them to make the assumption that individuals aren't merely insane but will behave in predictable ways.

They base their economic ideas or models on this presumption. one renowned.

Thus, the term do economists use to describe the reason people act or behave in predictable ways will be rationality.

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Answer:

7.5

Step-by-step explanation:

60% = 0.6

18 / 0.6 = 30 (given number)

25% = 0.25

30 * 0.25 = 7.5

Best of Luck!

Answer:

2.7

Step-by-step explanation:

60/100x = 18

x = 10.8

25/100x = ?

25/100 (10.8) = 2.7

Step-by-step explanation:

If this were to make a triangle, then 30.1 and 0.8 would be the shorter sides and 31 would be the longest side.

The sum of the lengths of the shorter sides is 30.1+0

8=30.9.

Since this is less than the length of the segment that would be the longest side, by the triangle inequality theorem, these side lengths would not make a triangle.

Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

Answer:

discriminant is b²-4*a*c

16-4*4*1 =0

this signifies that there is one rational double root

Step-by-step explanation:

sorry if its wrong

Answer:

here is some ways i have sorry

Step-by-step explanation:

sing

kiss

king

sin

Answer:

~0.3158

Step-by-step explanation:

Number of even numbers in the range of 1 - 38 is 38/2 = 19

=> P(E) = 19/38 = 1/2

Having: 38 = 3 x 12 + 2, then the number of numbers that is a multiple of 3 in the range of 1 - 38 is 12

=> P(M) = 12/38 = 6/19

Having: 38 = 6 x 6 + 2, then the number of numbers that is a multiple of 6 (or multiple of 2 and 3) is 6

=> P(E and M) = 6/38 = 3/19

Applying the conditional probability formula:

P(M|E) = P(E and M)/P(E) = (3/19)/(1/2) = 6/19 = ~0.3158

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

Answer:

24.95 kg

Step-by-step explanation:

one pound =0.45356 kg

55 lbs=55*45356 =24.95 kg

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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The two ships are closest to each other when A is at (0, 8.89) and B is at (35.56, 0), and they are 31.11 miles apart at that instant.

Let's consider the two ships as points A and B, with A being 20 miles north of B at noon. Let's also assume that t hours have passed since noon, and let's use the Pythagorean theorem to find the distance between A and B at time t:

d(t) = sqrt((20 + 6t)^2 + (8t)^2)

To find the time when the two ships are nearest to each other, we need to find the minimum value of d(t). To do this, we can take the derivative of d(t) with respect to t and set it equal to zero:

d'(t) = (1/2) * (20 + 6t)^(-1/2) * 6^2 + (1/2) * 8^2 * 2t = 0

Simplifying and solving for t, we get:

t = 40/9

This means that the two ships are nearest to each other 40/9 hours, or approximately 4.44 hours, after noon.

To find their locations at that instant, we can plug t = 40/9 into the expressions for the positions of A and B:

A: (0, -20 + 6*(40/9)) = (0, 8.89)

B: (0 + 8*(40/9), 0) = (35.56, 0)

So at that instant, A is located at (0, 8.89) and B is located at (35.56, 0).

To find the distance between them at that instant, we can plug t = 40/9 into the expression for d(t):

d(40/9) = sqrt((20 + 6*(40/9))^2 + (8*(40/9))^2) = 31.11 miles

Therefore, the two ships are closest to each other when A is at (0, 8.89) and B is at (35.56, 0), and they are 31.11 miles apart at that instant.

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Answer:

(B) {6,6,7}

Step-by-step explanation:

A criterion to determine if each triplet represents a triangle is the Law of Cosine, which states that:

\(a^{2} = b^{2}+c^{2}-2\cdot b \cdot c \cdot \cos \theta\)

Where \(a\), \(b\) and \(c\) are sides of the triangle and \(\theta\) is the angle opposite to side \(a\). Now, let is clear the cosine function:

\(2\cdot a \cdot b\cdot \cos \theta = b^{2}+c^{2}-a^{2}\)

\(\cos \theta = \frac{b^{2}+c^{2}-a^{2}}{2\cdot b \cdot c}\)

Cosine is a bounded function between -1 and 1, a triplet corresponds to a triangle if and only if result is located between upper and lower bounds. Now let is evaluate each triplet:

a) \(a = 2\), \(b = 5\), \(c = 9\)

\(\cos \theta =\frac{5^{2}+9^{2}-2^{2}}{2\cdot (5)\cdot (9)}\)

\(\cos \theta = 1.133\) (Absurd)

The triplet does not represent a triangle.

b) \(a = 6\), \(b = 6\), \(c = 7\)

\(\cos \theta =\frac{6^{2}+7^{2}-6^{2}}{2\cdot (6)\cdot (7)}\)

\(\cos \theta = 0.583\) (Reasonable)

The triplet represents a triangle.

c) \(a = 6\), \(b = 4\), \(c = 2\)

\(\cos \theta = \frac{4^{2}+2^{2}-6^{2}}{2\cdot (4)\cdot (2)}\)

\(\cos \theta = -1\) (Absurd)

The triplet does not represent a triangle, but a straight line.

d) \(a = 7\), \(b = 8\), \(c = 1\)

\(\cos \theta = \frac{8^{2}+1^{2}-7^{2}}{2\cdot (8)\cdot (1)}\)

\(\cos \theta = 1\) (Absurd)

The triplet does not represent a triangle, but a straight line.

Hence, the correct answer is B.

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

Yes

Step-by-step explanation:

Answer:

13.33%

Step-by-step explanation:

I hope that is useful for you :)

Answer:

-7/5

Step-by-step explanation:

Hope this helps

Brainliest pls ❤️

Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study

In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.

Here,

A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

a. Parameter - The average health care cost each year for all of the insurance company's clients

b. Population - All of the insurance company's clients

c. Sample - The 400 clients that the insurance company included in this study

d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study

e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study

f. Variable - The cost each year for health care

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(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

3

Step-by-step explanation:

i don't know i had to answer this and i put 300 but apparently its 3..?

Answer:

George C. x=2 is the equation of the line through (2,3) with undefined slope.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (2, 3 ) with x- coordinate 2 , then

x = 2 ← is the equation of the line