I need help with this question.

Answer:

B, C, & E

Step-by-step explanation:

Linear, polynomial, and quadratic functions can be both increasing or decreasing functions. Exponential function is monotonically increasing function. The derivative of a function may be used to determine whether the function is increasing or decreasing. Exponential functions eventually exceed all other increasing functions.

Function, in mathematics, refers to an expression or rule that describes a relationship between two or more variables. A function is said to be an increasing function when the y-value increases as the x-value increases and vice versa. In order to determine whether the function is increasing or decreasing, the derivative of a function may be used on any intervals in its domain.  If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I. From the given function options, Exponential functions eventually exceed all other increasing functions as the one of variable is in the exponential leading an exponential increase and not a constant increase.

Note: The question is incomplete. The complete question probably is: From the following, Which functions are increasing? How to know if a function is increasing or decreasing?; Which section of the function is increasing?; Which type of increasing function eventually exceeds all other increasing functions? A) linear B) exponential C) polynomial D) quadratic.

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Answer:

33.20% probability that the sample mean would differ from the population mean by greater than 1 gallon

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Histograms are used to represent data, where the length of each bar represents the frequency of the data element

The histogram is not given; So, I will give a general explanation.

Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.

The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.

So, we have:

\(\%Percentage = \frac{450}{500}\)

Divide 450 by 500

\(\%Percentage = 0.9\)

Express as percentage

\(\%Percentage = 90\%\)

Hence, the percentage of commuters that travel more than 45 minutes is 90%

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Answer:

r=2

Step-by-step explanation:

2r-6+5r=3-r+7

7r-6=10-r

7r+r=10-6

8r=16

r=2

Answer:

simple interest: I = P × r × t

I = 4500 × 9.5% × 6 = 2565

The amount paid as interest is $2565.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

It is given that the borrowed amount is $4500 at 9.5% for 6 years. The simple interest is calculated as:-

SI = ( P x R x T ) / 100

SI = ( 4500 x 9.5 x 6 ) /100

SI = $2565

Hence, the simple interest is $2565.

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The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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Answer:

\(Ratio = 35 : 1\)

Step-by-step explanation:

Given

\(Ratio = 5 : 1/7\)

Required

Determine the unit ratio

A unit ratio is represented as:

\(Ratio = a : 1\)

Where

\(a \ne 1\)

So, we have

\(Ratio = 5 : 1/7\)

Divide ratio by 1/7

\(Ratio = 5/(1/7) : (1/7)/(1/7)\)

Using a calculator, we have:

\(Ratio = 35 : 1\)

Hence, the unit ratio is:

\(Ratio = 35 : 1\)

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

\((f\circ g)(2)=\dfrac{1}{4\cdot2+9}=\dfrac{1}{17}\\\\(f+g)(2)=\dfrac{1}{2}+4\cdot2+9=\dfrac{1}{2}+17=\dfrac{1}{2}+\dfrac{34}{2}=\dfrac{35}{2}\)

The surface area of right rectangular prism is equal to 150 square centimeter

The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism.

A = 2(lw + hl + hw)

Where, "l" is the length and "h" is the height and "w" is the width

To determine the surface area of right rectangular prism.

Given the paramters as;

length = 4 cm

width = 9 cm

height = 3 cm

Substituting the given values, we get;

A = 2(lw + hl + hw)

A = 2 (36 + 27 + 12)

A = 150

Thus,  surface area of right rectangular prism is 150 square centimeter

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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\(-\frac{263}{6}\) or \(-43.8333.\)

\(\frac{7}{6} -(18+27)\)

\(\frac{7}{6} -(45)\\ \\\frac{7}{6} -45\)

This can be done by multiplying number 45 by the denominator of the fraction (6) and adding 6 as a denominator of 45.

\(\frac{45}{6}*6\\ \\ \frac{270}{6}\)

\(\frac{7}{6} -\frac{270}{6}\)

\(\frac{7-270}{6}=\\ \\-\frac{263}{6}\)

Since the numerator of this fraction (263) is a prime number, the fraction cannot be further simplified and it's the final result.

The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;

a) The distance from A to C is 280 meters

b) The distance from point A to point D is 360 meters

c) The displacement of the skier from point B to point C is 120 meters.

Displacement is the change in the position or location of the object.

The possible diagram of the skier in the question can be presented as follows;

A \({}\)                            C                                                   D                          B

t = 0 min      \({}\)         t = 2 min                                       t = 3 min            \({}\)t = 1 min

ʂ         \({}\)                     ʂ                                                     ʂ                           ʂ

-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----

0           \({}\)   20           40         60          80            100    120    140           160

The above diagram indicates that we get;

a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;

The skier moves from point A to point B then from point B to point C, therefore,

The distance from point A to point B = 160 m - 0 m = 160 m

The distance from point B to point C = 160 m - 40 m = 120 m

The distance from point A to point C is therefore;

b) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;

AD = AC + CD

CD = 120 m - 40 m = 80 m

Therefore;

AD = 280 m + 80 m = 360 m

c) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;

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114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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\( \huge \pink{ \underbrace { \overbrace { \ SAS}}}\)

Answer:

4

20

40

Step-by-step explanation:

Since the final line says 8 x 5, I know that the final answer is 40.

That means that the blank on the first line has to be 4

The second line is missing a 20 because 20 + 20 = 40

The given function is:

The function is continuous at x=-2 if:

So the value of k is 4/9.

Answer:

the polygon is a trapezoid

Step-by-step explanation:

(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line

(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line

All horizontal lines are parallel.

The shape is a trapezoid because it has one pair of parallel lines.

The probabilities are, 1) 0.25, 2) 0.25, 3) 0.5, 4) 0.5 and 5) 0.25

1) Calculating the ratio of favorable outcomes (blue or green marbles) to all possible outcomes (marbles) can help us determine the likelihood of pulling a blue or green marble from the given bag.

There are a total of 20 marbles in the bag:

3 blue marbles, 2 green marbles, 8 yellow marbles, 4 red marbles, and 3 orange marbles.

Favorable results equal 3 (blue) + 2 (green), which adds up to 5 (blue or green marbles).

The likelihood of drawing a blue or green marble is thus:

Probability = Positive results / Total results = 5 / 20 = 1/4 = 0.25

2) There are 52 cards altogether in a normal deck, with 13 cards in each of the four suits (hearts, diamonds, clubs, and spades).

Calculating the ratio of the number of hearts to the total number of cards is necessary because we want to know the likelihood of selecting a card that has a heart on it.

There are 13 hearts total.

As a result, the likelihood of selecting a card with a heart on it is:

Probability is calculated as follows: 13/52 (the number of hearts) or 1/4 (0.25).

3) You need to know the total number of possible outcomes as well as the number of favorable outcomes if you have the choice of receiving an A, B, C, or F for a paper and you want to calculate the likelihood of receiving an A or B.

There are four alternative outcomes in this situation (A, B, C, and F), and there are two (A and B) that are more favorable.

Consequently, the likelihood of receiving an A or B on the paper is:

P(A or B) = Number of positive results / Total number of possible results = 2 / 4 = 0.5

4) There are only two outcomes that can occur when a fair coin is flipped: heads or tails.

Since the coin is impartial and fair, there is an equal chance of receiving heads or tails.

The likelihood of achieving a heads or tails result on a coin flip is therefore:

Probability = 1 (number of favorable outcomes) / 2 (total number of possible outcomes) = 1/2 = 0.5

5) Calculate the ratio of the number of favorable outcomes (pulling a 3 or a 7) to the total number of possible outcomes (all numbers) if the bag includes the numbers 1–8 inclusive and we want to know the likelihood of drawing a 3 or a 7.

The bag has the following sum of numbers: 8 total numbers

If you draw a 3 or a 7, you have the following chances of success:

Positive results: 2 (3 and 7).

As a result, the likelihood of getting a 3 or a 7 is:

Probability = Positive results / Total results = 2 / 8 = 1/4 = 0.25

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Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

Answer:

The greatest common factor of 80 and 20 is 20

Step-by-step explanation:

C

Step-by-step explanation:

I would have to say C. Even if you went with just the explainations, the math just adds up to 3.5

9.52 grams total

1.98 x 3 = 5.94 in total in all the containers

  9.52     in the container

- 5.94    being taken out

  3.58     left remaining in the jar