if it takes three people 4 hours to clean a warehouse how long will it take 4 people to clean the warehouse

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

3/8

Step-by-step explanation:

The value of 37.5% reduced to the lowest terms is 15/40.

A fraction is written in the form p/q, where q ≠ 0. Fractions are of two types they are proper fractions and improper fractions. Fractions can also be converted into percentages by multiplying them by 100.

We know e can convert percentages into decimals and fractions by dividing the percentage value by hundred.

Given we have to convert 37.5% as a fraction which is,

= 37.5/100.

= 375/1000.

= 75/200.

= 15/40.

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To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Answer:

37.76

Step-by-step explanation:

it easssyy i guess

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Consider the following diagram,

Let 'y' be the side of the garden. And 'x' be the side of the square formed by the walkway.

Given that the garden is a square with perimeter 260 feet,

From the above diagram, it can be observed that,

Consider that the area of a square is given by,

The area of the inner square i.e. garden will be,

The area of the outer square will be,

The difference between the area will give the area of the walkway (A), that can be calculated as,

Thus, the area of the walkway is 1104 square feet.

Answer: 8 Quarters, 20 Dimes

Quarters:

Current/ 13

13x25= 3.25

Dimes:

Current/ 5

5x10= 50 …. 50 cents

Current price: $3.75

Need $4.00

What you need:

Quarters: +8

4 = 100 x2 is 200 …. $2.00

Dimes: + 20

10 = 100 x2 is 200 … $2.00

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer: C) 40th percentile

=========================================================

Explanation:

The original list is {827,691,616,740,651,772,868,557,891,937} which has 10 items inside it.

The list sorts to {557,616,651,691,740,772,827,868,891,937}

We see that there are 3 items below 691. So one way to calculate the percentile is to do 3/10 = 30% like you did for your answer.

However, the term "percentile" is ambiguous as there is another way to calculate percentile. The other method involves the term in question. So we have 4 terms in the sublist {557,616,651,691} which is how your friend got 4/10 = 40%

It's unfortunate why this term is not well defined. Ideally your teacher would state instructions on how to deal with this dilemma, or post a formula to use.

The good news is at least "30th percentile" isn't listed as an answer choice, so we can rule out the first method above.

Answer:

0.9999

Step-by-step explanation:

Probability of a bit whenever he is at bat = 0.20

Probability when not having a hit = 1-0.20

= 0.80

n = 12

P = 0.80

We have a binomial distribution

P(X=x) = nCx*P^x(1-p)^n-x

P(x>2) = 1-p(x<=2)

= 1-[(12C0 * 0.8⁰*(1-0.8)¹²) +(12C1 * 0.8¹ * (1-0.8)¹¹) + (12C2 * 0.8² * (1-0.8)¹⁰)]

= 1-(0.000000004096+0.000000196608+0.000004325376)

= 1-0.00000452608

This is approximately

0.9999

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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Answer:

x = 36 degrees

Step-by-step explanation:

The sum of a triangle's interior angles is 180 degrees.

We know that 2 of the angles measure 90 degrees (right angle) and 54 degrees. Add those together and you get 144. Now all you have to do is subtract 144 from 180 to get

36 degrees.

180 - 90 - 54 = x

Answer:

36

Step-by-step explanation:

The conner shows a thin square. That means it is a 90-degree angle. You know that x is going to be smaller than the 54- degree angle and 90-degree angle. So the angle x will be a smaller number. You would need to subtract 90 from 54. Therefore the answer is 36.

6. Using Pythagoras Theorem the value of x = 99. 7, The value of x is 102.56. 8. The triangle is a right triangle. 9. The triangle is acute. 10. The triangle is acute. 11. The value of x is 32.28. 12. The value of x is 40.

The relationship between the sides of a right triangle is explained by the Pythagorean theorem, a fundamental mathematical theorem. The square of the hypotenuse's length, the longest side in a right triangle, is said to be equal to the sum of the squares of the lengths of the other two sides.

6. For a = 20, b = 99 using the Pythagoras Theorem we have:

x² = a² + b²

x² = 20² + 99²

x² = 9801

x = 99

7. For a = 60, b = 91 we have:

x² = 60² + 91²

x² = 10521

x ≈ 102.56

8. To determine whether the triangle is acute, obtuse, or right we check for using the Pythagoras Theorem.

a = 20, b = 21, and c = 29

Here,

20² + 21² = 841

29² = 841

Hence, the triangle is right.

9. For a = 15, b = 19, and c = 24. We have:

15² + 19² = 556

24² = 576

The triangle is acute.

10. For a = 11, b = 23, and c = 26. We have:

11² + 23² = 650

26² = 676

The triangle is acute.

11. Using the Pythagoras Theorem we have:

x² = 53² - 45²

x² = 1044

x ≈ 32.28

The value of x is 32.28

12. x² = 41² - 9²

x² = 1600

x = 40

The value of x is 40.

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Answer:

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

$6.22

Step-by-step explanation:

25.20

would be your answer!

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

162=3x(x-9)

Step-by-step explanation:

In the field below, enter the binary result of the following calculation.

The numbers are given 8-bit 2's complement format, and can be positive or negative. Your answer should also be provided as 8-bit 2's complement format.00111010 + 00000000 = 00111010 Binary addition of 00111010 and 00000000 is performed below: 1 0 0 1 1 0 1 0 00111010 + 00000000 ------------------ 00111010The above addition can be converted into 2's complement form as follows: Add a 0 to the leftmost bit if the leftmost bit is 0.Add a 1 to the leftmost bit if the leftmost bit is 1.In this case, the leftmost bit is 0, so we will add a 0 to the leftmost bit. As a result, the answer is 00111010.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

d.

Step-by-step explanation:

Answer:

I think 22.2814177

Step-by-step explanation:

I used 3.14 that's what my teachers tell me to use sorry if it's wrong

Answer: 22.2927232313

Step-by-step explanation: *Pi = 3.14159265359

                                              *3.14159265359 x 2444.57 = 7,679.84315319

                                               *7,679.84315319 ÷ 344.5 = 22.2927232313

    Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)

Answer:  2/5

Step-by-step explanation;

The equation y² - y²x = 6  can be describe as a function of x as:

y = √(6/(x - x)).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y² - y²x = 6

Taking y² as common.

y²(1 - x) = 6

Divide both sides with (1 - x).

y² = 6/(1 - x)

Square root on both sides.

y = √(6/(x - x))

This is a function of x.

Thus,

y = √(6/(x - x)) is a function of x.

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The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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The least common multiple is 15x² + 90x. Therefore, the LCD for the rational expressions is 15x² + 90x.

Expression in math is a combination of numbers, symbols, and operators used to represent a mathematical value or operation. It is the written representation of a mathematical computation or formula. Expressions can help simplify lengthy calculations, and make mathematical concepts easier to understand. Expressions can also be used to represent different numerical values, and can be evaluated to determine a resulting value. Expressions are an important part of mathematics, as they are used to communicate ideas and instructions to other mathematicians.

The least common denominator (LCD) is the least common multiple of the denominators in a set of fractions. In this case, the set of fractions is 3x - 21 and 5x + 30. To find the LCD, we first need to factor the denominators. The denominator of the first fraction is 3x - 21, which can be factored as 3x + 7(-3). The denominator of the second fraction is 5x + 30, which can be factored as 5x + 6(5).

To find the LCD, we need to find the least common multiple of 3x + 7(-3) and 5x + 6(5). The least common multiple is 15x² + 90x. Therefore, the LCD for the rational expressions is 15x² + 90x.

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Complete questions as follows-

Find the LCD for the rational expressions. Enter your answer in factored form.
_-9x_ _X_
3x - 21 And 5x +30
Find The LCD ?

Step-by-step explanation:

Number 1

Number of spoons= no of boxes × individual no of spoons

= 100 × 8 = 800 spoons.

Number of cones = no of cones in a box × no of boxes

= 60 × 8 = 480

Number of cup = no of cups in a box × no of boxes

= 80 × 8 = 640.

Total = 800 + 480 + 640 = 1920

Number 2

If everyone needs a cup, spoon and cones, it means they all need 3 items.

no of people you can serve = 1920 ÷ 3

= 640 people.

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Answer:

3 hours

Step-by-step explanation:

15 workers * 7 hours = 105 worker hours

105 worker hours / 35 workers = 3 hours