A case of 24 water bottles contains 192 total ounces of water how many ounces are in each water bottle

The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

Given that the variables in the point-slope form of a line.

The general form of the equation of a line is y - y₁ = m (x-x₁) where  m is the slope of line, y₁ and x₁ is any point on the line

It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane

m = slope of the line

The general equation of a line is y = mx + c where

m = slope of line

(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on

(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis

Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

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Answer:

Emma traveled on average 315 miles per day.

Step-by-step explanation:

1,890 ÷ 6 = 315

Answer:

\(27 < 3 + 5x + 4 \\ 27 < 7 + 5x \\ 27 - 7 < 5x \\ 20 < 5x \\5x > 20 \\ x > \frac{20}{5} \\ \boxed{x > 4}\)

Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression

Step-by-step explanation:hope this can help you :)

Answer:

813.88

Step-by-step explanation:

893 × (1 - 2%) × (1 - 7%)

893 × 0.98 × 0.93

= 813.8802

Rounded to two decimal places will give 813.88.

The ball will land 67.381 feet away.

Thus, option (B) is correct.

Given:

v = 62 feet / second

\(\theta\) = 15

h = 2.2 feet

Using the formula

Horizontal range = \(\dfrac{v \;cos\; \theta\; [v \;sin\;\theta + \sqrt{v^2\;sin\;\theta + 2gh]}}{g}\)

Substituting the value back into the formula as

Horizontal range = \(\dfrac{62 \;cos\; (15)\; [62 \;sin\;(15)+ \sqrt{(62\;sin\;(15))^2 + 2g*2.2]}}{g}\)

                            = 67.381 feet

Therefore, the distance is 67.381 feet.

Thus, option (B) is correct.

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The question attached here seems to be incomplete, the complete question is:

A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15", from a height of 2.2 feet. How far away does the ball land in feet? (5 points)

56.372 feet

67.381 feet

60.646 feet

47.293 feet

Answer:

8/14

Step-by-step explanation:

the answer is

4/7=8/14

6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363

To find the decimal equivalent of the division 350 divided by 55, you simply divide 350 by 55 using long division. Here's the step-by-step calculation:

   6.363636...

 _______________

55 | 350.000000

    - 330

    _______

      200

      - 165

      ______

        350

        - 330

        ______

          200

          - 165

          ______

            350

            - 330

            ______

              200

              - 165

              ______

                ...

The division continues indefinitely with the decimal repeating the sequence 36.

Therefore, the decimal equivalent of 350 divided by 55 is 6.363636...

Based on the options provided:

A) 6.6 is not correct as it rounds up the decimal prematurely.

B) 6.36 is not correct as it does not account for the repeating decimal.

C) 6.363 is not correct as it rounds down the decimal prematurely.

D) 6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363.

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Answer:

-24/5

Step-by-step explanation:

This means that Dr. Hart result may be not true for the entire population.

Heart disease is a condition when the heart is disturbed. Several types of heart disease, including:

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Answer:

A

Step-by-step explanation:

as one number being added on both sides

The answer is C!!! I am sorry if I get the answer wrong.

The inner product of f(x)=-2cos(2x) and g(x)=-sin(2x) is 0.

To find the inner product of f(x) and g(x), we use the formula:

⟨f,g⟩= ∫[a,b] f(x)g(x)dx

where [a,b] is the interval of integration.

Substituting the given functions, we get:

⟨f,g⟩= ∫[0,π] -2cos(2x)(-sin(2x))dx

= 2 ∫[0,π] sin(2x)cos(2x)dx

Using the identity sin(2θ)cos(2θ) = sin(4θ)/2, we get:

⟨f,g⟩= ∫[0,π] sin(4x)/2 dx

= [-cos(4x)/8]π0

= (-1/8)[cos(4π)-cos(0)]

= (-1/8)[1-1]

= 0

Therefore, the inner product of f(x) and g(x) is 0.

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Answer:

1/6

Step-by-step explanation:

First, we'll simplify the inside portion of the question.

\(\frac{3^{3/4}}{3^{3/8}} =3^{3/4-3/8}=3^{3/8}\\\)

Next, we are raising this to the 4/9 power.

\((3^{3/8})^{4/9} = 3^{(3/8) * (4/9)} = 3^{1/6}\)

Thus, x = 1/6.

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

it's x+3

Step-by-step explanation:

it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)

and go again down by 1 and get (0,3)

so we know we have to add 3 each time so it is x+3

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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(3,2) the eqaition would be y=3/2x+3

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16

a. Using the cash basis of accounting, Al's gross income for 2021 is $479,400.

b. Using the accrual basis of accounting, Al's gross income for 2021 is $614,600.

c. Al should use the accrual basis of accounting for reporting his gross income.

a. Under the cash basis of accounting, income is recognized when it is received in cash. In this case, Al received cash of $516,600 for medical services in 2021. However, $37,200 of this amount was for services provided in 2020. Therefore, Al's gross income for 2021 using the cash basis is $516,600 - $37,200 = $479,400.

b. Under the accrual basis of accounting, income is recognized when it is earned, regardless of when the cash is received. In this case, Al earned $516,600 for medical services in 2021, including the $37,200 from 2020. Additionally, Al had accounts receivable of $88,000 at the end of 2021 for services rendered in 2021. Therefore, Al's gross income for 2021 using the accrual basis is $516,600 + $88,000 = $604,600.

c. It is advisable for Al to use the accrual basis of accounting because it provides a more accurate representation of his income by recognizing revenue when it is earned, even if the cash is received later. This method matches revenues with the expenses incurred to generate those revenues, providing a better overall financial picture. Using the accrual basis will also allow Al to track and report his accounts receivable accurately, providing a clearer understanding of his practice's financial health.

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The difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero.

Kathy needs to exchange half of her US dollars into British pounds and half of her US dollars into euros. Since it is given that pound is equal to USD and euro is also equal to USD, when she withdraws half of her US dollars as British pounds and half of it as euros, she will have the same amount of pounds and euros. Thus, the difference between the amount of money she will have in Euros and the amount she will have in British pounds will be zero. Therefore, she will have the same amount of money in both currencies, and the answer to the question is 0 (rounded to the nearest whole number).

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The unit of analysis that supposed to use when researcher describes the age, race, and gender distributions for people who are charged with shoplifting is called individuals.

The entity that frames what is being investigated in a study, or the entity being studied as a whole is known as the unit of analysis. At the macro level of social science study, the state is the most frequently used analytical unit that is regarded as a society. Groups, organizations, and institutions are frequent observational units at the meso level, while individuals are the unit of observation at the micro level.

The individual unit of analysis could be either a human or an animal. A group might be made up of a single person or a number of people who communicate with one another. For instance, if we are interested in examining people's shopping behaviors, their learning outcomes, or their views about new technology, then the individual is the unit of analysis that we should use.

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Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

Part A) Tyler answers within 2 questions of Benjamin if he answers B+2, B+1, B, B-1, or B-2 questions correctly.

Part B) Based on the solution from Part A, Tyler will win prizes for correctly answering the corresponding number of questions.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Part A:
Since we want to find the possible values of T, we can isolate T on one side of the inequality:

T - B ≤ 2

T ≤ B + 2

or

T - B ≥ -2

T ≥ B - 2

Therefore, Tyler answers within 2 questions of Benjamin if he answers B+2, B+1, B, B-1, or B-2 questions correctly.

Part B:
Based on the solution from Part A, Tyler will win prizes for correctly answering the corresponding number of questions.

This is because Tyler's score is within 2 questions of Benjamin's score. Therefore, he will receive the same prizes as Benjamin for answering the same number of questions, as well as additional prizes for answering 1 or 2 fewer questions than Benjamin.

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Jerial would be responsible for paying $295 if she used more than the allotted 2 GB in a given month.

Using linear equations,

Data plans cost $45 per month.

Additional fee equals $15 per GB

Jerial would be responsible for paying the following in a month if she used 2 GB more than allowed: = $45 + $15(5) = $45 + $ 250 = $ 295

The monthly payment that Jerial will be required to make as her usage exceeded x GB is:

= $45 + $15 (x)

= $45 + $15x

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Answer:

a) y ∝ x

y = kx

k = y/x

b) y = 7/8

Step-by-step explanation:

Suppose that y varies directly with x and y = 2 when x =16

a)write a direct variation equation that relates x and y

y varies directly with x

Hence:

y ∝ x

y = kx

Where k is constant of proportionality

y = 2 when x =16

Hence:

2 = 16k

k = 2/16

k = 1/8

b) find y when x =7

y = kx

k = 1/8

x = 7

y = 1/8 × 7

y = 7/8

To find dy/dt, we can differentiate the given equation y^3 = 2x^4 + 81 with respect to t using implicit differentiation.

Differentiating both sides of the equation with respect to t, we get:

3y^2 * dy/dt = 8x^3 * dx/dt

Substituting the given values dx/dt = 4, x = 5, and y = 11 into the equation, we can solve for dy/dt:

3(11)^2 * dy/dt = 8(5)^3 * 4

363 * dy/dt = 8 * 125 * 4

363 * dy/dt = 4000

Dividing both sides by 363, we find:

dy/dt = 4000 / 363

Simplifying this expression, we get:

dy/dt = 400/33

Therefore, the value of dy/dt is 400/33.

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