Which of the following rules describes the function graphed below? On a coordinate plane, points are at (1, 5), (2, 4), (3, 3), (4, 2). a. Output = Input c. Output = 5 · Input - 4 b. Output = Input - 4 d. Output = 6 - Input Please select the best answer from the choices provided A B C D

Jeremy's height is 67.2 inches

The diagram below represents situation

Proportion says that two ratios (or fractions) are equal. This a mathematical comparison between numbers.

Therefore, let's establish the proportion in this situation

Therefore,

cross multiply

72 × 56 = 60x

60x = 4032

divide both sides by 60

x = 4032 / 60

x = 67.2

Therefore, Jeremy's height is 67.2 inches

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The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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The derivative of f(x) = -4x with respect to x, or dy/dx, is -4.

To find the derivative of f(x) = -4x using first principles.
First, let's recall the definition of the derivative using first principles:
f'(x) = lim (h → 0) [(f(x + h) - f(x))/h]
Now, substitute f(x) = -4x into the definition:
f'(x) = lim (h → 0) [(-4(x + h) - (-4x))/h]
Next, distribute -4 to both x and h in the numerator:
f'(x) = lim (h → 0) [(-4x - 4h + 4x)/h]
Simplify the expression by canceling out -4x and +4x:
f'(x) = lim (h → 0) [(-4h)/h]
Cancel out h in the numerator and denominator:
f'(x) = lim (h → 0) [-4]

Since -4 is a constant and doesn't depend on h, the limit is simply:
f'(x) = -4.

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Answer:

\(a_n= 4(-5)^{(n-1)}\)

-10416

Step-by-step explanation:

a = 4

r = -5

geometric series:  \(a_n=ar^{(n-1)} = 4(-5)^{(n-1)}\)

Determine which term = -12500:

\(a_n=-12500\)

\(4(-5)^{(n-1)}=-12500\)

\((-5)^{(n-1)} = -3125\)

\((5)^{(n-1)} = 3125\)

\((n-1)ln(5) = ln(3125)\)

\(n-1 = ln(3125)/ln(5) = 5\)

\(n = 5 + 1 = 6\)

\(a_6=-12500\)

Using geometric sum series formula: \(S_n=\frac{a(1-r^n)}{1-r}\)

Therefore, \(S_6=\frac{4(1-(-5)^6)}{1-(-5)} =\frac{-62496}{6} =-10416\)

Answer:

x= 3x/7 - 10/7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Step-by-step explanation:

x+2=4(2x + 3)-3

x+2=8x+9

2=8x+9−x

2=7x+9

2-9=7x

-7=7x

-7/-7=7x/-7

-1 = x

x=-1

The size for a TV is determined as the diagonal length of the Television.

The Televisions that we see in our daily life are mostly of the rectangular shape.

A rectangular shape is a shape that has 4 sides in it, the opposite sides of the rectangular are parallel and equal. Two pairs of equal sides are formed in this type of shape.

If we connect the vertices that are directly opposite to each other than it is known as the diagonal of the rectangle . Often we see that the TV is of 32'' or 64''. This only means that the diagonal length of the TV is 32'' or 64''. This is how we measure the size of the TV.

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The correct response is 3. Havasupai Falls. We travelled from coast to coast, finding new places to visit and selecting the best landmark in each state. We decided on Havasupai Falls for Arizona.

Arizona's most well-known and current official moniker, "The Grand Canyon State," honours the state's most recognizable natural landmark, the Grand Canyon. Arizona is frequently referred to as the "Copper State," which indicates how abundant this mineral is there. More than 7.279 million people live in the stunning state of Arizona, which is situated in the southwest region of the country. Arizona is a great area to live and is frequently regarded as one of the best places in the nation to start a new life. It is known as The Grand Canyon State. Discover Arizona's snow in Flagstaff. Snow does fall in Flagstaff. plenty of snow! In its yearly assessment based on the state's Gross Domestic Product (GDP), population, and job growth, the American Legislative Exchange Council's most recent Rich States, Poor States research gave Arizona the highest ratings in the nation.

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Answer:

Step-by-step explanation:

1 percent of 35110 is 351.1

351.1 x 6 is 2106.6

2106.6 x 5 is 10533.

35110 plus 10533 is 45643

Answer : 45643

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

75

explanation: because i looked it up

Answer:

the last option

Step-by-step explanation:

50+25+x=180

x=105

50+105+x=180

x=25

Answer:

x = -5 ±4sqrt(2)

Step-by-step explanation:

(x+5)²=32

Take the square root of each side

Sqrt((x+5)²)=±sqrt(32)

x+5 = ±sqrt(16*2)

x+5 = ±4sqrt(2)

Subtract 5 from each side

x+5-5 = -5 ±4sqrt(2)

x = -5 ±4sqrt(2)

Answer: 25+2(n-1)

Step-by-step explanation:

Answer:

(x-3)(x-2)

Step-by-step explanation:

x^2 -5x+6

What two numbers multiply to 6 and add to -5

-3 * -2 = 6

-3 -2 = -5

(x-3)(x-2)

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

the cost of labor per hour is $55

Step-by-step explanation:

Let C = cost of labor per hour

Let h = hours worked

Let p = cost of parts

Let t = total price

\(c = \frac{t - p }{h} \\\\c = \frac{309.50 - 62}{4.5} \\\\c = \frac{247.50}{4.5} \\\\c = 55\)

Dunno what the RACE method is, never heard of it before but.

3x is positive, has a variable.

-3 is negative, has no variable.

-3x^2 is negative, has a variable, and an exponent.

-5x is negaitive, has a variable.

Answer:

1 inch

Step-by-step explanation:

It's 1 inch because you minus 20 inch by 19 inch and get 1 inch

The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

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If a positive integer x is divided by a positive integer y, the remainder is 9. If x/y = 96.12, the value of y is 75. Also, the value of x is 7209.

When a positive integer x is divided by a positive integer y, the remainder is 9.

Also, x/y = 96.12.

We need to find the value of y. We will solve the problem as follows.

Let x = py + 9, where p is a positive integer. We substitute this value of x in x/y = 96.12 and solve for y.

(py + 9)/y = 96.12

Simplifying this equation, we get:p + (9/y) = 96.12

Multiplying both sides by y, we get:

py + 9 = 96.12y - - - - - - - - - - (1)

We know that y cannot be a fraction. Therefore, let us make p = 96 and check the value of y.(96y + 9)/y = 96.1296y + 9 = 96.12y9 = 0.12y

Therefore, y = 75

We have checked that p = 96 gives a valid answer for y.

Let us check other values of p.

p = 95:

x = 75 × 95 + 9 = 7149, y = 74.98947368 (invalid)

p = 94: x = 75 × 94 + 9 = 7074, y = 74.93617021 (invalid)

p = 97: x = 75 × 97 + 9 = 7224, y = 74.63917526 (invalid)

Therefore, the only possible value of y is 75.

Therefore, y = 75 is the answer to the given problem.

Let us substitute the value of y in (x/y) = 96.12 to find the value of x,  

x= 96.12 X 75 = 7209.

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Answer:

The area is 12.56 units^2 (same as circumference?)

Step-by-step explanation:

Assuming pi is 3.14, the equation for the circumference is C = 2 pi r

Fill it out for the radius (r)

12.56 = 2 3.14 r

12.56 = 6.28 r

r = 2

With the radius, the equation for the area is A = pi r^2

Fill it out for the area

A = 3.14 2^2

A = 3.14 4

A = 12.56

Answer:

m = 5s - 4

Step-by-step explanation:

Man = m

Son = s

the mans age is 4 years less than 5 times his sons age

5 times his sons age is 5s

4 less than that is 5s - 4

The man's age is 5s - 4 or m = 5s - 4

If my answer is incorrect, pls correct me!

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The value of 8√6 as a square root is √384

Surd are written as the square root of prime numbers. Given the expression below;

8√6

This is can be written as;

8√6 = √(8 * 8 * 6)

8√6 = √64 * 6

8√6 = √384

Therefore the value of 8√6 as a square root is √384

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Answer:

16c - 7 = 13.32

Step-by-step explanation:

The cost of 16 cookies minus the coupon equal how much he paid

16c - 7 = 13.32

Answer:

16c - 7 = 13.32

Step-by-step explanation:

Answer:

Step-by-step explanation:

51 feet / 1.5 = 34 bags needed minimum

But trini needs more than 51 bags so:

X>34 is the answer

The statement that is true about the 2 functions, in which the relationship between the x and y-values in the table of values for both functions is a linear relationship is that The y-intercept of the graph of A is equal to the y-intercept of the graph of B

The equation representing the relationship in function A in point-slope form is therefore;

y - 12 = 6·(x - 2)

y - 12 = 6·x - 12

y = 6·x - 12 + 12 = 6·x

The equation in slope-intercept form, y = m·x + c, where c is the y-intercept is therefore; y = 6·x

The true statement is therefore; The y-intercept of the graph of A is less than the y-intercept of the graph of B

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The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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The measure of ∠RST(angle S)  can be found using the external angle theorem and the measure of ∠RST is 49 degrees.

It states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle

Therefore,

∠SRT + ∠RST = 128°

let

∠RST = x

Therefore,

79 + x = 128

subtract 79 from both sides of the equation

79 - 79 + x = 128 - 79

x = 49°

Therefore,

∠RST = 49°

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