Isaiah is standing in a stadium and has the option of running up a staircase or down astaircase for exercise. The function f(x) = 2 (17x] + 5x) will determine howmany calories Isaiah will burn if he runs up x steps. Use a negative value for x if heruns down the stairs. Find and interpret the given function values and determine anappropriate domain for the function.

Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

Answer:

Red grapes.

Step-by-step explanation:

If you find how much one bag of each grape cost which is:

$13.00 ÷ 5 = 2.60 (1 bag of red grapes)

$5.08 ÷ 2 = $2.54 (1 bag of green grapes)

See the price and you'll know it is red grapes.

the acorn falls approximately 12.15 meters (to the nearest tenth of a meter) in 2.25 seconds.

the natural force  that makes things fall to the ground when you drop them.

The given function is:

d(t) = (1/2)a\(t^2\)

where a = 4.8 m/\(s^2\) is the acceleration due to gravity.

To find the distance an acorn falls in 2.25 seconds,  t = 2.25 seconds  

d(2.25) = (1/2)(4.8)\((2.25)^2\)

= (1/2)(4.8)(5.0625)

= 12.15 meters (rounded to two decimal places)

Therefore, the acorn falls approximately 12.15 meters.

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Answer:

(6,3)

Step-by-step explanation:

If you reflect (-4,3) over the y-axis it is going to become (4,3).

Then, if you move it 2 units to the right, it becomes (6,3)

The coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the point  (-4,3) is the image of A after a reflection using the y-axis, then a translation of two units to the right.

Reflection of point ( -4 , 3 ) ⇒ ( 4 , 3 )

A translation of two units to the right ⇒ ( 4 + 2, 3 ) ⇒ ( 6, 3 )

Therefore, the coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

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Answer:

5f + 6g + 12

Step-by-step explanation:

10f - 5f is 5f, you would keep 6g as it is because there are no other numbers to add to it, and 8 + 4 is 12. Hope this helps!! :)

The probability of being 25-35 years and having a haemoglobin level above 11 is 34%.

The probability of having a haemoglobin level above 11 is 36%.

Being 25-35 years and having a hemoglobin level above 11 are not dependent on each other.

Probability determines the odds that a random event would occur. The odds of the event happening lie between 0 and 1.

The probability of being 25-35 years and having a haemoglobin level above 11 = number of people between 25 - 35 that have a level above 11 / total number of people between 25 - 35

44 / 128 = 34%

The probability of having a haemoglobin level above 11  = number of people with a level above 11 / total number of respondents

153 / 429 = 36%

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Answer:

Step-by-step explanation:

We know that:

Answer:

i would say -1/2

Step-by-step explanation:

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Solution:

Given:

Part A:

The linear function S(x) is given by;

Part B:

S(6000) is when x = 6000, the weekly salary is;

The interpretation:

The sales person's weekly salary when a sales of $6,000 was made is $1,380

Answer:5

Step-by-step explanation:

5098

The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

The incomes subject to withholding include the following:

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.

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Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

Answer: 7:1

Step-by-step explanation:

First off, we see that the contribution was divided into 16 parts (8+5+3). If the tree was $96, 96/16 = $6, so each individual part was $6.

First Person: 3(6) = $18

Second Person: 5(6) = $30

Third Person: 8(6) = $48

We know that after the two friends return the money, the $96 will have been split evenly between all three of them.

96/3 = 32 - each person pays $32 total

Because each person has to pay $32 total, the first person must return $14 and the second person must return $2. This means that the ratio is 14:2 which can be reduced to 7:1.

Person 1: 32-18 = 14

Person 2: 32-30 = 2

Person 3: 48-14-2 = 32. - check to see if we were correct, which we are because after two friends pay 3rd back, their total is also 32 dollars.

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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The profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have,

The revenue function:

R(x) = 450x

Cost function:

C(x) = 340x + 3300

We know, the profit function is given by:

P(x) = R(x) - C(x)

P(x) = 450x - (340x + 3300)

P(x) = 110x - 3300

Thus, the profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.

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Answer:

.125

Step-by-step explanation:

1/4 times 1/2 equals .125.

Answer:

Total area of the box is 1 ft squared

Area of the shaded box is .125 ft squared

Area of the non - shaded box is .875 ft squared

Step-by-step explanation:

To find the total area, we can multiple the length * height, 1 * 1 = 1.

To find the shaded area, we can multiple the length * height, .5 * .24 = .125.

To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.

The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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Answer:

(3,9)

Step-by-step explanation:

Answer:

15x^2 -25x -3

Step-by-step explanation:

f(x)=5x−3 and g(x)=3x^2−5x, find (f(g(x)).

Substitute g(x) for x in the function f(x)

5(3x^2−5x) -3

Distribute

15x^2 -25x -3

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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The total amount the Kiko spent on video game and DVDs is $30.30

What is the relationship between rental price and total cost?

The relationship between rental price and total cost is such that the total cost of renting is determined cost per item multiplied by the number of items rented, in other words, the total amount Kiko spent on video game is the rental price of each video game multiplied by the  number of video games rented

total amount Kiko spent on video game=$3.20*6

total amount Kiko spent on video game=$19.20

total amount Kiko spent on DVDs=$3.70*3

total amount Kiko spent on DVDs=$11.10

total amount Kiko spent=$19.20+$11.10

total amount Kiko spent=$30.30

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Answer:

8c

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) =  x^4 + 2x^3 + 2x^2 - x

Step-by-step explanation:

f(x) = x^2 - x ; g(x) = x^2 + x

f(g(x)) = (x^2 + x)^2 - (x^2 + x)

f(g(x)) = (x^2 + x)^2 - x^2 - x

f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x

f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) = (x^2 - x)^2 + x^2 - x

g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x

g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x

g(f(x)) =  x^4 + 2x^3 + 2x^2 - x

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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