Graph the linear relationship described in the situation.
A bowling alley charges $6 for shoe rental and $2 for each game.

To use the graph tool, click the y-intercept point first. Then click another point to create the line

It would take the two boys working together 2.38 hours to clean the pool.

The formula for working out the time it would take two people to complete a job when working together is:

T(combined) = 1 / (1/T1 + 1/T2)

Where T1 is the time it takes one person to complete the job and T2 is the time it takes the other person to complete the job.

In this case, T1 is 4 hours for Kevin and T2 is 6 hours for Jerome.

To solve the equation:

T(combined) = 1 / (1/4 + 1/6)

T(combined) = 1 / (0.25 + 0.17)

T(combined) = 1 / 0.42

T(combined) = 2.38 hours

Therefore, it would take the two boys working together 2.38 hours to clean the pool.

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The longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

The right triangular face's hypotenuse is another name for this diagonal, which is also referred to as the space diagonal.

In this instance, the right triangle face with sides of 14, 13, and 9 cm can be taken into consideration. With the Pythagorean theorem in use,

we have:

14² + 13² + 9² = c²

196 + 169 + 81 = c²

446 = c²

c = [tex]\sqrt(446)[/tex]

c = 21.2 cm (rounded to the nearest tenth)

So the longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

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To find f(2) using synthetic division, we set up the synthetic division table with the coefficients of the polynomial:

2 │ 5  -13  4  -2

 │    10 -6 -2

 └───────────

   5  -3 -2  0

The last entry in the bottom row of the table gives the remainder of the division, which is f(2). Therefore, we have:

f(2) = 5(2)³ - 13(2)² + 4(2) - 2 = 40 - 52 + 8 - 2 = -6

So, the value of the function f(x) = 5x³-13x² + 4x-2 at x = 2 is f(2) = -6.

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The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

Definition of Pythagoras Theorem:

The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.

It is stated in this formula:

[tex](side)^2+(side)^2=(hypotenuse)^2[/tex]

Given that,

Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

We must determine what x stands for.

We know that,

The height of building is 32x.

The width is 46x

The diagonal is 200 feet

So we form a triangle

From the Pythagoras theorem,

Hyp² = Side²+ Side²

200² = (32x)² + (46x)²

40000 = 1024x² + 2116x²

3140x² = 40000

x² = 12.73

Square root on both sides

x = √12.73

Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

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Answer:

AOC=360-130 = 230

ABC= 230/2=115

Answer:

∠ABC = 115∘

Step-by-step explanation:

∠ABC = 1/2 ∠AOC

(Angle subtended by a chord on major area is half of that subtended on center)

∴ ∠ABC = 1/2 x 130 = 65

ABCD is  a cyclic quadrilateral

Sum of opposite angles = 180∘

∴ ∠ABC + ∠AOC = 180∘

 ∠ABC + 65 = 180∘

 ∠ABC = 115∘

Answer:

I'd say about a couple

you're welcome

Answer:

Step-by-step explanation:

a) Just work backwards!

Instead of adding 4, subtract by 4

Instead of multiplying by 3, divide by 3

22 - 4 / 3 = x

b)

22 - 4 = 18

18 / 3 = 6

Therefore, x = 6

The correct time when the displays on the clocks next agree is 01:00.

Let's assume that one hour on the normal clock is equal to x.

The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.

And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.

At 13:00, both clocks show the correct time.

So, x/2 + x = 24 - x + x.

Simplifying the equation:

24 = x + x/2

Multiplying both sides by 2:

48 = 2x + x

Subtracting x from both sides:

48 - x = 2x

Solving for x:

x = 24

So, one hour on the normal clock is equal to 24 hours.

The clock that goes twice as fast will show one hour in 24/2 = 12 hours.

And the clock that goes backward will show one hour in 24 - 24 = 0 hours.

So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.

So the correct time when the displays on the clocks next agree is 01:00.

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Answer: The force on an object is directly proportional to its acceleration, which means that if the force is increased, the acceleration will also increase, and if the force is decreased, the acceleration will decrease. This can be expressed mathematically as:

F = k * a

where F is the force, a is the acceleration, and k is a constant of proportionality.

We can use the given information to find the value of k:

30 N = k * 10 m/s^2

k = 3 N*s^2/m

Now we can use this value of k to find the acceleration when the force is 9 N:

9 N = 3 Ns^2/m * a

a = 3 Ns^2/m / 9 N

a = 1/3 m/s^2

Therefore, the acceleration of the object when the force is 9 N is 1/3 m/s^2.

Answer:

16 candy bars

Step-by-step explanation:

We know

Each candy bar cost costs $0.75

Billy buys candy bars for $12.50

How many candy bars did he buy?

We take

$12.50 divided by $0.75 = 16 candy bars

So, he bought 16 candy bars.

Answer:

16 2/3 candy bars.  Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.

Step-by-step explanation:

12.50/.75 = 16 2/3 candy bars

16 candy bars would cost $12.00

16 x .75 = 12.00

The correct statement is : The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given here: A sphere with 5 in. radius and a cube with side measuring 8.06 in.

Volume of the sphere is

V=4/3πr³

=4/3·π·5³≈523.59878 in³

Surface area of the sphere is

A=4πr²

=4·π·5²≈314.15927 in²

Now volume of the cube

a³=8.06³

≈523.60662 in³

Surface area of the cube

A=6a²

=6×8.06²

≈389.7816 in²

Thus The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.

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Answer:

591.2 kilometers

Step-by-step explanation:

times 295.6 × 2 and you will get 591.2

Answer:

the answer is B) and E)

Step-by-step explanation:

it's not that complicated, just have to subtract 12 from 37

Answer:This is a right triangle.One of the legs has a length of 20.

Step-by-step explanation:

The percent of change from 5/4 to 3/8 is a 70% decrease.

To find the percent of change, we need to determine the difference between the original amount and the new amount, and then divide that difference by the original amount and multiply by 100 to express the answer as a percentage.

Let's first convert both fractions to decimals:

5/4 = 1.25

3/8 = 0.375

Next, let's find the difference between the original amount (1.25) and the new amount (0.375):

1.25 - 0.375 = 0.875

Finally, let's divide the difference by the original amount and multiply by 100 to express the answer as a percentage:

(0.875 / 1.25) * 100 = 70

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The value of cos B in the fraction is 12/37.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

A right-angled triangle.

The trigonometric identity:

Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle

Cos B = 12/37

Therefore, Cos B = 12/37.

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The solution of the inequalities is (0.67, 3.33)

From the question, we have the following parameters that can be used in our computation:

y >= 2

x + y <= 4

y <= 2x + 2

Next, we plot the graph of the inequalities

Using the above as a guide, we have the following:

The solution is (0.67, 3.33)

This is so because the lines intersect at (0.67, 3.33) for y >= 2

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a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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The given expression is polynomial and degree of the polynomial  is 2.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

the expression -10c° – c + 3c²

So the given expression is a polynomial,

The highest degree of the  polynomial will be 2

Hence The given expression is polynomial and degree of the polynomial  is 2.

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Answer:that is correct it is 2/9

Step-by-step explanation:

The value of the x-coordinate of the solution will be -2. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equations are given below.

y = (5/2)x + 2         ...1

y = - x - 5              ...2

From equations 1 and 2, then we have

(5/2)x + 2 = - x - 5

(7/2)x = -7

x = -2

The value of the x-coordinate of the solution will be -2. Then the correct option is C.

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The minimum number of (whole) dictionaries that you need to measure together is s ≤ 7.0 x 10⁻⁷

Measurement is the process of determining the size, amount, or degree of something, usually using an instrument or a tool.

To determine the thickness of one page in a dictionary, you can measure a number of dictionaries together and average the results.

To achieve an uncertainty of only 7.0 x 10-7 inches in your measurement of one page, you need to determine the minimum number of dictionaries that you need to measure together.

Let's assume that you have N dictionaries and the thickness of the i-th dictionary is xi. Then, the average thickness of one page is given by:

(x1 + x2 + x3 + ... + xN) / N = x

The uncertainty in the average thickness of one page is given by:

s = √(∑((xi - x_bar)²)/(N-1)) / √(N) = √(∑((xi - x_bar)²)/N²(N-1))

We want to find the minimum value of N such that the uncertainty in the average thickness, s, is less than or equal to 7.0 x 10⁻⁷ inches.

So, we have:

s <= 7.0 x 10⁻⁷

Complete Question:

1. You have a set of calipers that can measure the thicknesses of a few inches with an uncertainty of + 0.0050 inches. You measure the thickness of one Oxford American Dictionary (2096 pages) and get 2.51 in.

You can improve this result by measuring dictionaries together. If you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10⁻⁷ in., what is the minimum number of (whole) dictionaries that you need to measure together?

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Answer:

[tex]c=2\sqrt{13[/tex]

Step-by-step explanation:

In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.

[tex]36+16=c^2[/tex]

[tex]52=c^2[/tex]

[tex]\sqrt{c^2} =\sqrt{52}[/tex]

[tex]c=\sqrt{52}[/tex]

If we simplify...

[tex]c=2\sqrt{13}[/tex]

Los múltiplos de 5 son 5,10,15,20,25,30,35,40,45,50,..........

Los múltiplos son números que se multiplican por un número con un entero positivo (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, etc.). En términos simples, un múltiplo es el producto de un número con otro número (enteros enteros, no fracciones ni decimales).

Los números múltiples son mayores o iguales que el número en sí. Esto se debe a que el primer múltiplo se multiplica por 1. Entonces, el primer múltiplo es el número mismo. Un número o números pueden tener múltiplos de una lista ilimitada de múltiplos. Porque los números se pueden multiplicar continuamente por otros enteros más grandes.

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The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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Answer: 4 is correct

Step-by-step explanation:

A(x) + B(x) = (4x - 1) + (8x - 3)

= 12x - 4