find the absolute value

No, it does not make sense that the probability of cats falling from the 5th floor would be greater than those of the 4th. The force of gravity is the same regardless of the floor, so the number of cats falling should be the same no matter what floor they start from.

The force of gravity is a constant force that is the same on all floors. This means that the same amount of force is acting on the cats, no matter which floor they start from. Therefore, the number of cats falling from the 5th floor should be the same as the number falling from the 4th floor. The number of cats falling from a higher floor may be greater if there are extra factors, such as wind, that could affect their fall, but the force of gravity does not change with the floor. Therefore, it does not make sense for the number of cats falling from the 5th floor to be greater than those of the 4th

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Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

Answer:

No?

Step-by-step explanation:

That would defeat the definition of logical, wouldn't it?

Answer:

Step-by-step explanation:

Bisects means that ∠RED will be divided in two parts by segment EB. This means that ∠REB = ∠BED. So,

5x-3 + 5x-3 = 8x+16

10x-6 = 8x+16

2x = 22

x = 11

Keep in mind that 11 is NOT the angle of ∠BED. You will plug it back into ∠REB to get

5(11)-3 = 52

Therefore, ∠BED = 52°

Option D correctly states that a function can't satisfy all the given conditions simultaneously.

If a function satisfies f(x) > 0, it means the function takes positive values on the interval. If f'(x) > 0, it indicates that the function is increasing on the interval, meaning its slope is positive. Conversely, if f'(x) < 0, it implies that the function is decreasing on the interval, meaning its slope is negative.

For a function to satisfy both f'(x) > 0 and f'(x) < 0 on the same interval, it would require the function to change from increasing to decreasing or vice versa within that interval. However, such a situation is not possible because if the function is increasing, its derivative (slope) cannot suddenly become negative, and if the function is decreasing, its derivative cannot suddenly become positive.

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A. Two-way radio A covers approximately 50 square miles.

B. Two-way radio B covers approximately 78 square kilometers.

C. Since 130 is greater than 78, two-way radio A covers a larger area than two-way radio B.

D. The scale factor relationship between the radio coverages is 4:1

Part A: To find the area covered by two-way radio A, we need to use the formula for the area of a circle: A = \(\Pi r^2\). The radius of the circle is 4 miles, so we can substitute this value into the formula and simplify:

A =\(\Pi r^2\)

A = \(\Pi (4)^2\)

A = 16π

Using 3.14 for π, we can calculate the approximate area covered by two-way radio A:

A ≈ 50.24 square miles

Part B: To find the area covered by two-way radio B, we need to convert the radius from kilometers to miles first. One kilometer is approximately 0.6214 miles, so we can use this conversion factor to convert the radius:

8.05 kilometers x 0.6214 miles/kilometer ≈ 5 miles

Now we can use the same formula for the area of a circle with a radius of 5 miles:

A = πr^2

A = π(5)^2

A = 25π

Using 3.14 for π, we can calculate the approximate area covered by two-way radio B:

A ≈ 78.5 square kilometers

Part C: To compare the area covered by each two-way radio, we need to convert the area covered by two-way radio A from square miles to square kilometers:

50.24 square miles x (1.61 kilometers/mile)^2 ≈ 130 square kilometers

Part D: The scale factor relationship between the radio coverages can be found by dividing the radius of radio B by the radius of radio A:

8.05 kilometers / (1.61 kilometers/mile x 4) miles ≈ 1

This means that the radius of radio B is four times larger than the radius of radio A (since one kilometer is approximately equal to 0.6214 miles). The area covered by radio B is four times greater than the area covered by radio A.

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Answer:

C, 10^3

Step-by-step explanation:

To get from 22 to 22000, you need to times by 1000. The power in this case represents the amount of zeros added to a number. Hope this helped!

10³ multiply 22 by to get an answer of 22,000.

The correct option is (D)

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

We have to multiply 22 such that it gives 22, 000.

let the number that being multiplied be x.

So, 22x = 22000

x= 22000/22

x= 1000

x= 10³

Hence, 10³ multiply 22 by to get an answer of 22,000.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

Do you really mean by -9 or cause I'm just confused but if you meant by 19 then this could help. I had my mom do whatever she could put as  the answer so yeah

Step-by-step explanation:

a*b=18 ____[1]

a+b=19____[2]

[2] a=19-b ___[3]

put [3] in [1]

(19-b)*b = 18

19b-b^2 = 18

b^2-19b+18 = 0

(b-18)(b-1) = 0

so b=18 or b=1

if b=18 then a=19-18=1

if b=1 then a=19-1=18

SO two factors are 1 and 18

Answer:

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credit: samueladesida43

hope this helps!

Step-by-step explanation:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator

3/7 of the mug = 4/7 of a cup of water

1 mug = 4/3 of a cup of water

The capacity of the mug is 4/3 of a cup of water.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

We have,

A mug is 3/7 full.

The mug contains 4/7 of a cup of water.

This means,

3/7 of the mug = 4/7 of a cup of water _____(A)

The full capacity of the mug can be represented by 1

So,

Multiply 7/3 on (A).

7/3 x 3/7 of the mug = 7/3 x 4/7 of a cup of water

1 mug = 4/3 of a cup of water

Thus,

1 mug = 4/3 of a cup of water

The capacity of the mug is 4/3 of a cup of water.

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Answer:

y = 2x + 6

Step-by-step explanation:

To find the equation of a line that passes through two points, you can use the slope-intercept form of a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.

First, let's find the slope (m) using the given points (0,6) and (2,10):

m = (\(y_{2\) - \(y_{1\)) / (\(x_{2\) - \(x_{1\))

m = (10 - 6) / (2 - 0)

m = 4 / 2

m = 2

Now that we have the slope (m = 2), we can substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Let's use the point (0,6):

y = mx + b

6 = 2(0) + b

6 = 0 + b

b = 6

So, the y-intercept (b) is 6.

Therefore, the equation of the line that passes through the points (0,6) and (2,10) is:

y = 2x + 6

Answer:

\(\huge\boxed{\sf 2}\)

Step-by-step explanation:

Since these triangles are similar, we'll use proportion to find the unknown side.

\(\sf \frac{25}{10} = \frac{5}{?}\)

Cross Multiply

\(\sf ? * 25 = 10*5\)

Divide 25 to both sides

\(\sf ? = 50/25\\\\? = 2\)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

The answer is "m < -5"

Step-by-step explanation:

Answer:

side FI

∠ANC

Step-by-step explanation:

hope this helps

The estimated value of the integral using the trapezoidal rule is

∫5^9 √(201x^3) dx ≈ (1/2) [√(201(5^3)) + 2√(201(6^3)) + 2√(201(7^3)) + 2√(201(8^3)) + √(201(9^3))]

The trapezoidal rule is a numerical method used to approximate the value of a definite integral by dividing the interval into subintervals and approximating the area under the curve using trapezoids. The formula for the trapezoidal rule is given by:

∫a^b f(x) dx ≈ (h/2) [f(a) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(b)]

where h = (b - a)/n is the width of each subinterval and n is the number of subintervals.

In this case, we want to estimate the integral ∫√(201x^3) dx from 5 to 9 using n = 4. First, we need to calculate the width of each subinterval, h, which is given by (9 - 5)/4 = 1.

Next, we evaluate the function at the endpoints of the interval and the intermediate points within the interval. We substitute these values into the trapezoidal rule formula and sum them up:

∫5^9 √(201x^3) dx ≈ (1/2) [√(201(5^3)) + 2√(201(6^3)) + 2√(201(7^3)) + 2√(201(8^3)) + √(201(9^3))]

Evaluating this expression will give us the estimated value of the integral using the trapezoidal rule with n = 4.

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Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.

2. The amount of energy used in the house for the month is 731.634 KWh.

3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.

1. The rate of consumption of energy is measured in kilowatt-hour.

In the given question,

12 cent is paid per kilowatt-hour.

60 watts of light for 1 hour = 0.06 KWh

3 light bulbs of 60 Watts each for 1 hour = 3 x  0.06

                                           = 0.18 KWh

But,

30 days = 30 x 24 hours

                        = 1440 hours

The total energy consumed for the month = 1440 x 0.18

                                      =  259.20 KWh

The total cost for the month = 0.12 x 259.20

                                               = $31.104

Thus, the total cost for the month is $31.104.

2. Charge per kilowatt-hour = $0.11

Total power bill = $80.48

So that,

Total cost on bill = amount charge per kilowatt x total energy consumed in KWh

Which implies;

$80.48 = $0.11 x total energy consumed in KWh

total energy consumed = \(\frac{80.48}{0.11}\)

                               = 731.634 KWh

Therefore, the amount of energy used in the house for the month is 731.634 KWh.

3. Each length of the two end pieces = 2.6 feet each

Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;

the length of the remaining piece = 2.6 + 0.86

                                                         = 3.46

The length of the remaining piece = 3.46 feet

The length of the board to buy = 2.6 + 2.6 + 3.46

                                                   = 8.66

Thus, the length of the board to buy is 8.70 feet.

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Answer:

Step-by-step explanation:

i dont even know honestly

Answer:

D

bc to figure out if it is a graph or not, you would see if a horizontal line could pass through the line only once and since the line is horizontal, that is not the case.

Answer:

Slope is 0.95 and its unit is dollar per mile

Step-by-step explanation:

To write the slope and its units, what we first need to do is to write the given words in form of an equation.

Given that the cost is the dependent variable and the cost per mile the independent variable, we have;

C(x) = $0.95(x) + 37

Comparing to the general equation of a straight line;

y = mx + c

we can see that the slope is 0.95 and its unit is $/mile (dollars per mile)

Now, George can check whether the vendor, Business Office Supplies, has items in stock without contacting a salesperson by using the vendor's online or digital inventory system.

This system allows George to access real-time information about the availability of supplies offered by the vendor.

The online inventory system provides George with a convenient way to check stock levels, track product availability, and make informed purchasing decisions. By logging into the system, George can view the vendor's inventory, browse different categories of supplies, and check the quantities of specific items in stock. This access enables George to streamline the ordering process, save time, and make more accurate decisions based on the availability of supplies.

By utilizing the vendor's inventory system, George can ensure efficient procurement and maintain a smooth supply chain for his employer.

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x+y=10

225x+70y=1165 where x represents the quantity of sliders in the combo.

The quantity of chicken wings in the combo is given by y.

An equation is an expression of one or more variables equated to a constant or another expression. Equations are used in mathematics to describe the relationship between two or more variables and often involve operations such as addition, subtraction, multiplication, division, and exponents. Equations can also be used to describe physical phenomena and other phenomena such as chemical reactions, motion, and electricity.
Let x represent the number of sliders in the combination meal and let y represent the number of chicken wings in the combination meal. The system of equations used to determine the number of sliders and chicken wings in the combination meal is given by:
Equation 1: 225x + 70y = 1165
Equation 2: x + y = 10
This system of equations can be used to find the number of sliders and chicken wings in the combination meal. To solve this system, the equations must be manipulated to isolate one of the variables. For example, if we subtract 70y from both sides of Equation 1, we obtain 225x = 1165 - 70y. We can then divide both sides by 225 to obtain x = (1165 - 70y)/225. This expression can then be substituted into Equation 2 to obtain a single equation in one variable.
Therefore, the system of equations given by Equation 1 and Equation 2 can be used to determine the number of sliders and chicken wings in the combination meal.
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x+y=10

225x+70y=1165 where x represents the quantity of sliders in the combo.

The quantity of chicken wings in the combo is given by y.

An equation is an expression of one or more variables equated to a constant or another expression. Equations are used in mathematics to describe the relationship between two or more variables and often involve operations such as addition, subtraction, multiplication, division, and exponents. Equations can also be used to describe physical phenomena and other phenomena such as chemical reactions, motion, and electricity.
Let x represent the number of sliders in the combination meal and let y represent the number of chicken wings in the combination meal. The system of equations used to determine the number of sliders and chicken wings in the combination meal is given by:
Equation 1: 225x + 70y = 1165
Equation 2: x + y = 10
This system of equations can be used to find the number of sliders and chicken wings in the combination meal. To solve this system, the equations must be manipulated to isolate one of the variables. For example, if we subtract 70y from both sides of Equation 1, we obtain 225x = 1165 - 70y. We can then divide both sides by 225 to obtain x = (1165 - 70y)/225. This expression can then be substituted into Equation 2 to obtain a single equation in one variable.
Therefore, the system of equations given by Equation 1 and Equation 2 can be used to determine the number of sliders and chicken wings in the combination meal.
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Answer:

C

Step-by-step explanation:

edge 2020

C 12y^2+5y-6/(y-3)(6y)

Answer:

I think it will be one eighth times the volume

Step-by-step explanation:

Answer:

.770

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62

i hope this helped!

Answer:

Step-by-step explanation:

The actual length of the explanation is 6 meters.

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

y = 0x + 2 or y = 2

Step-by-step explanation:

Since the slope is horizontal, this means the slope is 0 because it is not increasing or decreasing. Adding this to the equation, we have y = 0x + 2, or y = 2.

Answer:

becuae he couldent see sorry i had to do that

Answer:

satisfy the stringent demands of their sport.

Step-by-step explanation:

People who play tennis need tennis sunglasses, which specifically satisfy the stringent demands of their sport. Sunglasses designed for tennis players must accommodate their high level of precise hand-eye coordination and strenuous physical activity. They also have to promote acuity and clarity of vision under a wide range of lighting conditions.