I neeeeeeed help. Pleaseeee helpppp. I dont get the last question like what am i supposed to do?

I Neeeeeeed Help. Pleaseeee Helpppp. I Dont Get The Last Question Like What Am I Supposed To Do?

Answers

Answer 1

Answer:

0.1429

Step-by-step explanation:

The formula for the average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. a = 0, b = 7, f(a) = 2, and f(b) = 3, We plus the numbers into the formula and get 0.1429 as our answer.


Related Questions

Work out the minimum number of extra squares that need to be shaded so that the pattern below has rotational symmetry of order
a) 2
b) 4

Answers

The minimum number of extra squares that need to be shaded so that the pattern has rotational symmetry of order is 3

Working out the minimum number of extra squares that need to be shaded

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

The composite figure

On the extension at the left-hand side of the figure, we can see that

The shaded shape is a rectangle while other shaded shapes are squares

This means that the other shaded squares must be extended to form a rectangle

There are three of the squares that can be extended to rectangles

Hence, the minimum number of squares is 3

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The heat of vaporization for ethanol is 0.826 kJ/g. Calculate the heat energy in joules required to boil 75.25 g of ethanol.

Answers

The required heat energy required to boil 75.25 g of ethanol is 62.1835 kJ.

The heat energy required to boil a substance can be calculated using the formula:

Q = m × Hv

where Q is the heat energy, m is the mass of the substance, and Hv is the heat of vaporization. From the given, we have m = 75.25 g and Hv = 0.826 kJ/g

Substituting the given values, we get:

Q = 75.25 g × 0.826 kJ/g

Q = 62.1835 kJ

Where kJ (kilojoule) is the unit of heat.

Therefore, the heat energy required to boil 75.25 g of ethanol is 62.1835 kJ.

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What is the median of the following Systolic Blood Pressure in mmHg: 121, 110, 114, 100 160, 130 130?

Answers

Answer:

121

Step-by-step explanation:

firstly you arrange the numbers in ascending order the number in the middle is considered to be the median

A fruit company delivers fruit in two different size boxes: large and small A delivery of 3 large boxes and 5 small boxes has a total weight of 135kg. A delivery of 9 large boxes and 7 small boxes has a total weight of 279Kg. How much does each box weigh

Answers

The large box weighs 18.75 kg, and the small box weighs 15.75 kg.

We have,

Let's assume the weight of a large box is L kg, and the weight of a small box is S kg.

According to the given information, we can create the following equations:

Equation 1: 3L + 5S = 135 (1st delivery)

Equation 2: 9L + 7S = 279 (2nd delivery)

To solve these equations, we can use a method called "elimination" or "substitution."

Multiply Equation 1 by 3 and Equation 2 by 1, so that the coefficients of L will be the same:

Equation 1: 9L + 15S = 405

Equation 2: 9L + 7S = 279

Now, we can subtract Equation 2 from Equation 1 to eliminate L:

(9L + 15S) - (9L + 7S) = 405 - 279

Simplifying:

8S = 126

Divide both sides of the equation by 8:

S = 126/8 = 15.75

So, the weight of a small box (S) is 15.75 kg.

Now,

substitute the value of S into Equation 1 to find the weight of a large box (L):

3L + 5(15.75) = 135

3L + 78.75 = 135

3L = 135 - 78.75

3L = 56.25

Divide both sides of the equation by 3:

L = 56.25/3 = 18.75

So,

The weight of a large box (L) is 18.75 kg.

Thus,

The large box weighs 18.75 kg, and the small box weighs 15.75 kg.

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Find the probability of randomly choosing an ace or a club from a standard deck of cards. Remember that a standard deck consists of
52 cards, where each card is made up of a number or letter from {2, 3,4, 5, 6, 7, 8, 9, 10, J, Q, K, A} and a suit from {clubs, diamonds, hearts, spades

Answers

Answer: The probability of choosing an ace or a club is 16.

Step-by-step explanation:

C=5/9 (f -32
F= 9/5C + 32

Answers

When C = 20, F is equal to 68, and when F = 100, C is approximately 37.78.

Given the equations:

C = (5/nine) * (F - 32)

F = (9/5) * C + 32

If we replace specific values for F or C, we will locate the corresponding price for the opposite variable. Here are some examples:

Let's expect C = 20. Substituting this fee into the second equation:

F = (9/five) * 20 + 32

F = 36 + 32

F = 68

Therefore, when C = 20, F is equal to sixty-eight.

Let's expect F = a hundred. Substituting this cost into the primary equation:

C = (five/9) * (100 - 32)

C = (5/9) * 68

C = 340/9

C ≈ 37.78

So, whilst F = one hundred, C is approximately 37.78.

These examples exhibit how you may locate the values of F and C by using substituting one variable into the equations and fixing for the alternative variable. Remember, you could choose any unique values for F or C and perform the calculations consequently.

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The correct question is:

"C=5/9 (f -32)

F= 9/5C + 32

Solve for F and C"

The number of meters a student swam this week are listed.

200, 450, 600, 650, 700, 800

What is the appropriate measure of variability for the data shown, and what is its value?

The range is the best measure of variability and equals 600.
The IQR is the best measure of variability and equals 250.
The mean is the best measure of variability and equals about 567.
The median is the best measure of variability and equals 625.

Answers

The appropriate measure of variability for this data is the IQR, and its value is 250.

We have,

The range is not the best measure of variability for this data since it only takes into account the maximum and minimum values and does not consider the other values in the dataset.

The IQR (interquartile range) is a better measure of variability since it gives a measure of the spread of the middle 50% of the data.

To find the IQR, we first need to find the median:

Arranging the data in order, we get:

200, 450, 600, 650, 700, 800

The median is the middle value, which is 650.

The first quartile (Q1) is the median of the lower half of the data:

Q1 = median(200, 450, 600) = 450

The third quartile (Q3) is the median of the upper half of the data:

Q3 = median(700, 800, 650) = 700

The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 700 - 450

= 250

Therefore,

The appropriate measure of variability for this data is the IQR, and its value is 250.

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Scores in golf can be 0 (also called par), a positive integer (also called above par), or a negative integer (also called below par). The bar graph shows final scores of selected golfers from a tournament. Use this graph to answer the question below Find the average of the scores for player C, player D, player E, and player F. (Hint: Here, the average is the sum of the scores divided by the number of players ).

Answers

Answer:

The answer is -4.4.

Step-by-step explanation:

First, you have to add -12 + -10 + -6 and it equals -28. Next add the positive numbers 4+ 2 equals 6. Then, put them altogether meaning -28 + 6 equals -22, then divide it by the number of players which is 5 then you get the answer of -4.4.

Have a nice day.

It takes 14 hours for a tap with a flow of 18 litres per minute to fill a reservoir with water. How long will it take if the flow is reduced to 7 litres per minute? I need formulas

Answers

If the flow rate of the tap is reduced to 7 litres per minute, it would take 36 hours to fill the reservoir.

Let's use the formula:

time = volume/flow rate

where volume is the volume of the reservoir and flow rate is the flow rate of the tap.

Let V be the volume of the reservoir.

With a flow of 18 litres per minute, we have:

14 hours = V / 18 L/min

Solving for V, we get:

V = 14 hours x 18 L/min = 252 L

Now, let's find the time it takes to fill the same reservoir with a flow of 7 litres per minute:

time = V / 7 L/min

Substituting V with 252 L, we get:

time = 252 L / 7 L/min = 36 hours

Therefore, it will take 36 hours to fill the reservoir with a flow rate of 7 litres per minute.

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The following table list two investment plans, A and B. Given this information, determine which investment is an ordinary annuity and the future value of the ordinary annuity after one year, given that both investments, A and B, compound interest monthly at the rate of 3.5%. Round to the nearest cent. B Jan. Feb. Mar. Apr. May Jun. Jul. Aug Sept. Oct. Nov. Dec. 350 350 350 350 350 350 350 350 350 350 350 350 350 O A 350 350 350 350 350 350 Investment A is an ordinary annuity with $3,918.03 in the account after 1 year. b. Investment B is an ordinary annuity with $3,918.03 in the account after 1 year. C. Investment A is an ordinary annuity with $3,906.64 in the account after 1 year. d. Investment B is an ordinary annuity with $3,906.64 in the account after 1 year Please select the best answer from the choices provided O B 350 350 350 Mark this and return Save and Exit Next Submit​

Answers

(C) Investment A is an ordinary annuity with 3,906.64 in the account after 1 year is correct option.

Both Investment A and Investment B are annuities, but we need to determine which one is an ordinary annuity. An ordinary annuity is one in which payments are made at the end of each period, while in an annuity due, payments are made at the beginning of each period.

Looking at the table, we can see that Investment A and Investment B both have payments made at the end of each month, so they are both examples of ordinary annuities.

To calculate the future value of each annuity after one year, we can use the formula:

[tex]FV = P \times [(1 + r)^n - 1] / r[/tex]

where:

FV is the future value of the annuity

P is the payment amount

r is the interest rate per period (in this case, 3.5% per month)

n is the number of periods (12 in this case, since we're looking at one year)

For Investment A, we have P = 350, r = 0.035, and n = 12. Plugging these values into the formula, we get:

FV = 350 × [(1 + 0.035[tex])^12[/tex] - 1] / 0.035

= 3,906.64

Therefore, the answer is (C) Investment A is an ordinary annuity with 3,906.64 in the account after 1 year.

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Consider a circle whose equation is x2 + y2 -2x -8 =0. Which statements are true? Select three options

Answers

The three statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

What is the equation of a circle?

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Complete Question:

Consider a circle whose equation is x² + y² – 2x – 8 = 0. Which statements are true? Select three options.

The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The center of the circle lies on the y-axis.

The standard form of the equation is (x – 1)² + y² = 3.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The revenue R
from the sale of x
cameras is given by R=24x−x2.
The cost C
of producing x
cameras is given by C=30+13x.
How many cameras must be produced and sold in order to break even? If there is more than one break-even point, separate the answers with commas.

Answers

In order to break even, either 5 cameras or 6 cameras must be produced and sold.

Understanding Revenue and Break-even point

At break-even point, revenue (R) equal is set to equal the cost (C)

Given that:

R = 24x - x².

C = 30 + 13x.

where

R is revenue and

C is the cost

Setting R equal to C:

24x - x² = 30 + 13x

Rearranging the equation:

x² - 11x + 30 = 0

Now, we can solve this quadratic equation to find the break-even point(s).

Factoring the quadratic equation:

(x - 6)(x - 5) = 0

Setting each factor equal to zero:

x - 6 = 0  ==> x = 6

x - 5 = 0  ==> x = 5

Therefore, the break-even point occurs when x = 6 or x = 5.

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Pleaseeeeee helppppp meeeee

Answers

The probability of randomly selecting an apartment unit that has both internet and cable connection on the second floor = 0.23

Given that,

For second floor:

Total outcomes = 40

Network preference of internet & cable both = 9

Then Favorable outcomes = 9

Since we know that,

Probability is the ratio of number of favorable outcomes and total number of outcomes. It deals with finding out the likelihood of the occurrence of an event.

Therefore, to find the probability that,

P(Randomly selecting an apartment unit having internet and cable both )

= 9/40

= 0.225

≈ 0.23

Thus, the required probability = 0.23

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Additive opposites x+4y=28 and -x+y=12 Is y equal to 8

Answers

For the additive opposites x+4y=28 and -x+y=12, yes, y is equal to 8.

How to solve the given system of equations?

In order to solve the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

x + 4y = 28      .......equation 1.

-x + y = 12         .......equation 2.

By making x the subject of formula in equation 2, we have the following:

x = y - 12           .......equation 3.

By using the substitution method to substitute equation 3 into equation 1, we have the following:

y - 12 + 4y = 28

5y = 28 + 12

5y = 40

y = 40/5

y = 8

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How many fish (angelfish and eels) are there?
Number of Animals
25
20
15
10
5
0
Science Museum Water Exhibit
Snakes Turtles Angelfish
Animal
Eels

Answers

The number of fish, including angelfish and eels that are shown by the bar graph, can be found to be 45 fish .

How to find the number of fish ?

The science museum water exhibit bar graph shows the number of animals that are in the water exhibit in the museum.

We see that there are 15 snakes, 10 Turtles, 25 Angelfish, and 20 eels.

If we are to find the number of fish in the science museum water exhibit, all we need to do is to sum up the number of Angelfish and Eels. Doing this sum would add up to :

= 25 Angelfish + 20 eels

= 45 fish

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Maria’s line is represented by the equation
y
=

5
6
x
+
8
. Nate’s line is perpendicular to Maria’s line.



Which of the following could be an equation for Nate’s line?



A.
5
x

6
y
=
15
B.
5
x
+
6
y
=
15
C.
6
x

5
y
=
15
D.
6
x
+
5
y
=
15

Answers

The possible equation for Nate's line is C) 6x - 5y = 15.

To find the equation of the line perpendicular to Maria's line, we need to determine the slope of Maria's line first.

Maria's line is represented by the equation:

y = -5/6 x + 8

The slope of this line can be determined by comparing it to the slope-intercept form of a linear equation (y = mx + b), where m is the slope. Thus, the slope of Maria's line is -5/6.

The slope of a line perpendicular to Maria's line will be the negative reciprocal of -5/6, which is 6/5.

Therefore, the equation of Nate's line could be in the form:

y = 6/5 x + b

where b is the y-intercept of Nate's line.

To determine which of the given answer choices is the equation of Nate's line, we can substitute the equation y = 6/5 x + b into each answer choice and see which one holds true.

A) 5x - 6y = 15

Substituting y = 6/5 x + b, we get:

5x - 6(6/5 x + b) = 15

5x - 36/5 x - 6b = 15

-11/5 x - 6b = 15

This equation is not equivalent to y = 6/5 x + b, so A is not the answer.

B) 5x + 6y = 15

Substituting y = 6/5 x + b, we get:

5x + 6(6/5 x + b) = 15

5x + 36/5 x + 6b = 15

46/5 x + 6b = 15

This equation is not equivalent to y = 6/5 x + b, so B is not the answer.

C) 6x - 5y = 15

Substituting y = 6/5 x + b, we get:

6x - 5(6/5 x + b) = 15

6x - 6x - 5b = 15

-5b = 15

b = -3

This equation is equivalent to y = 6/5 x - 3, so C could be the answer.

D) 6x + 5y = 15

Substituting y = 6/5 x + b, we get:

6x + 5(6/5 x + b) = 15

6x + 6x + 5b = 15

12x + 5b = 15

This equation is not equivalent to y = 6/5 x + b, so D is not the answer.

Therefore, the possible equation for Nate's line is C) 6x - 5y = 15.

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Which is the graph of linear inequality 2y > x-2?
543241
X
54321.
-2.
3
O
3 4 5 x
5432
S
25
es
4
4₁
25
n
C

Answers

The graph of the inequality is attached in the solution.

Given is an inequality, 2y > x-2, we need to graph it,

So, considering this as, 2y = x-2

Solving like a linear equation to get the points to plot,

So,

Put y = 0,

0 = x - 2

x = 2

(2, 0)

Put x = 0,

2y = 0-2

y = -1

(0, -1)

Hence the two points from which the graph will pass are (2, 0) and (0, -1).

Now, since the inequality has a > sign so the shaded area will be above the line and the line will be dotted.

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00 Which transformation most likely maps figure ABCD onto figure A'B'C'D'? A Reflection across the Y-axis B Rotation 90⁰ Clockwise about the origin C Rotation 90° Counter-Clock- wise about the origin D Rotation 180° about the origin |-10-9-8-7-6 D B 10 19 8 17 6 5 3 -2 I 1 5 +6 +7 AC -8 9 10 910 A) Rotati B) Reflec C) Reflec (D) Transl​

Answers

Based on the given figures, the most likely transformation that maps figure ABCD onto figure A'B'C'D' is option A, reflection across the Y-axis.

This is because the x-coordinates of the corresponding points in the two figures are opposite to each other when reflected across the Y-axis.  

A rotation of 90⁰ clockwise or counter-clockwise about the origin would result in the image being in a different quadrant, and a rotation of 180° about the origin would place the image on the opposite side of the origin.

A translation would move the image to a different location without changing its orientation, but there is no indication in the question that a translation is a possible transformation. Hence it's a reflection across Y-axis.

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Correct Question

(Image Attached)

How many liters each of a 25% acid solution and a 65% acid solution must be used to produce 80 liters of a 40% acid solution? (round to two decimal places if necessary.)

Answers

Answer:

50

Step-by-step explanation:

To solve this problem, we can use the following formula:

(amount of solution 1) + (amount of solution 2) = total amount of mixture

We can also set up equations for the amount of acid in each of the solutions:

0.25(amount of solution 1) + 0.65(amount of solution 2) = 0.4(total amount of mixture)

We have two equations and two unknowns, so we can solve for the amounts of each solution. Let's set x to be the amount of the 25% acid solution and y to be the amount of the 65% acid solution. Then we have:

x + y = 80                (equation 1)

0.25x + 0.65y = 0.4(80)   (equation 2)

We can simplify equation 2 by multiplying everything by 100, to get rid of the decimals:

25x + 65y = 3200

Now we can solve this system of equations. One way to do this is to solve equation 1 for one of the variables, and substitute it into equation 2. We get:

x = 80 - y

25(80 - y) + 65y = 3200

2000 - 25y + 65y = 3200

40y = 1200

y = 30

So we need 30 liters of the 65% acid solution. To find the amount of the 25% acid solution, we can substitute y = 30 into equation 1:

x + 30 = 80

x = 50

So we need 50 liters of the 25% acid solution. Therefore, we need 50 liters of the 25% acid solution and 30 liters of the 65% acid solution to produce 80 liters of a 40% acid solution.

The table and graph represent the time vs elevation of a snow boarder as they come down the mountain. Time 0 5 10 15 20 25 30 40 45 50 60 Elevation 100 90 80 70 50 40 30 25 20 10 0 Which linear model best fits the data? Responses y=0.5647x+53.7117 y equals 0.5647 x plus 53.7117 y=−0.5647x−53.7117 y equals negative 0.5647 x minus 53.7117 y=1.6881x−92.571 y equals 1.6881 x minus 92.571 y=−1.6881x+92.571

Answers

A linear model that best fits the data include the following: D. y = -1.6881x + 92.571.

How to determine the line of best fit?

In this scenario, the time would be plotted on the x-axis (x-coordinate) of the scatter plot while the elevation of a snow boarder would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the time and the elevation of a snow boarder, an equation for the line of best fit is given by:

y = -1.6881x + 92.571

Next, we would substitute the x-values into the equation for the line of best fit as follows;

When x = 0, we have:

y = -1.6881(0) + 92.571

y = 92.571 ≈ 93.

When x = 5, we have:

y = -1.6881(5) + 92.571

y = 84.1305 ≈ 84.

When x = 10, we have:

y = -1.6881(10) + 92.571

y = 75.69 ≈ 76.

In conclusion, we can logically conclude that the slope of this graph (line) is negative because the line decreases downward, and this is best modeled by only this equation y = -1.6881x + 92.571.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

What is the meaning of "when [tex] x_{1}, ..., x_{n}[/tex] are permuted in all possible ways, the number of different values of [tex]f (x_{1}, ..., x_{n})[/tex] is a divisor of n!"?

Answers

The meaning of the statement is if you take n distinct numbers, x₁, ..., xₙ, and permute them in all possible ways, the number of different values that the function f(x₁, ..., xₙ) can take on will be a divisor of n!.

How to explain the concept ?

This assertion is a specific instance of a broader concept known as the Principle of Inclusion-Exclusion in the field of combinatorics. The Principle of Inclusion-Exclusion asserts that when dealing with a set comprising n elements and aiming to determine the number of possible subsets that can be selected, one can arrive at this figure by summing up the number of options for choosing 0, 1, 2, and up to n elements from the set.

Regarding the aforementioned assertion, the collection of components comprises every potential arrangement of the numerical values x₁, ..., xₙ. There is only one possible way to choose 0 elements, there are n options for choosing 1 element, selecting 2 elements can be done in n(n-1)/2 ways, and the pattern continues.

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pls give me the right answer okay​

Answers

Answer:

We have to use 3 for pi it says

Volume for cylinder:

V= pi*r²*h

Input values=

3x2²x7

=84

Volume of the cone:

pi*r²*h/3

Input values:

84/3

=28

Add them 84+28= 112

Omar bought 1000 shares of a company's stock for $15.23/share. If he pays a broker 0.75% commission to buy and sell stock. After one year, he sold all his shares, which were worth $18.78/share. What was his rate of return? Question 38 options: 21.5% 22.4% 22.7% 23.3%

Answers

Answer:

First, let's calculate the total cost of buying the shares:

1000 shares * $15.23/share = $15,230

Next, we need to calculate the commission paid to the broker for buying the shares:

$15,230 * 0.0075 = $114.23

So, the total cost of buying the shares including the commission is:

$15,230 + $114.23 = $15,344.23

Now, let's calculate the total revenue from selling the shares:

1000 shares * $18.78/share = $18,780

We also need to calculate the commission paid to the broker for selling the shares:

$18,780 * 0.0075 = $140.85

So, the total revenue from selling the shares after the commission is:

$18,780 - $140.85 = $18,639.15

The total profit from buying and selling the shares is:

$18,639.15 - $15,344.23 = $3,294.92

The rate of return is the profit divided by the total cost, expressed as a percentage:

($3,294.92 / $15,344.23) * 100% = 21.5%

Therefore, Omar's rate of return is 21.5%.

Question 4 Dennis purchases a new bicycle from the bike shop. Using the output expenditure model, the purchase of the bicycle would be an example of business investment government spending consumer spending net exports​

Answers

Using the output expenditure model, the purchase of the bicycle would be an example of C) consumer spending.

What is consumer spending?

Consumer spending is the expenditure made for the purchase of final goods and services by individuals and households.

In this situation, Dennis as a consumer is not a business organization, government institution, or an exporter, but an individual.

The expenditure for the purchase of a new bicycle is an expense for a final good.

Thus, under the output expenditure model, the purchase of a new bicycle is not a business investment, government spending, or a net export, but it is a consumer spending.

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Halla el menor de tres enteros impares consecutivos tales que 4 veces el entero del medio sea 14 más que la suma del primero y tercer enteros. Hecho​

Answers

Solving a linear equation we can see that the smallest number is 5.

How to find the odd number?

A set of 3 consecutive odd numbers can be written as:

x, x + 2, and x + 4

the middle one is x + 2, and we know that 4 times the second must be equal to the sum of the other two plus 14, then we can write the linear equation:

4*(x + 2) = x + x + 4 + 14

Solving this linear equation we will get:

4x + 8 = 2x + 18

4x -2 x=  18 - 8

2x = 10

dividing both sides by 2, we will get:

x = 10/2

x = 5

That is the smalles odd number.

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given this equation, what is the value of y at the indicated point?
(6,y)
y^2 = x - 3
Please Help. am very stuck!

Answers

The value of y at the indicated point is √3.

What is a square root function?

In Mathematics and Geometry, a square root function refers to a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In this scenario and exercise, we would determine the y-value by substituting the x-value into the given square root function as follows;

y² = x - 3

By taking the square root of both sides of the square root function, we have:

y = √(x - 3)

When x = 6, the y-value is given by;

y = √(6 - 3)

y = √3

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Each color of gravel comes in an 8 1/2pound bag. How many 2 pounds of gravel should Alberto have left after putting in all of the colored gravel?

Answers

Answer:

where do you live

Step-by-step explanation:

The Drop Tower at Carowinds takes riders to the top of a tower and drops them. A function that
approximates this ride is h= -16t² + 64t + 60, where h is the height in feet and t is the time in seconds.
About how many seconds does it take for riders to drop 60 feet?

Answers

Answer: It takes riders 4 seconds to drop 60 feet on the drop tower at Carowinds.

Step-by-step explanation:To answer the question, we need to solve for t in the given function.

h = -16t^2 + 64t + 60

We know that the height dropped is 60 feet. So, we can substitute h with 60 and solve for t.

60 = -16t^2 + 64t + 60

Simplifying the equation, we get:

16t^2 - 64t = 0

Dividing both sides by 16t, we get:

t - 4 = 0

Assume that ryan does save 10% for retirement if he allocate the remainder of his take-home pay to entertainment then what percent of the total budget will entertainment compromise how much money will the budget towards entertainment in each month

Answers

Entertainment will comprise 90% of Ryan's total budget. He will allocate 90% of his monthly income towards entertainment expenses.

How to solve

According to the given information:

Let's assume Ryan's take-home pay is P dollars.

Assuming that Ryan puts aside 10% of his net income for his retirement plan, he will accumulate savings of 0.10P dollars.

After setting aside funds for retirement, the remaining portion of his net earnings will constitute 90% of the original amount, equating to 0.90P dollars.

Assuming that Ryan puts the remaining amount of his income towards entertainment, it is possible to determine the proportion of his overall expenses that entertainment would represent.

Percentage of entertainment budget = (Entertainment budget / Total budget) * 100

Given an overall budget of P dollars, with 0.90P dollars allotted for entertainment expenses, the proportion of the total budget that will be spent on entertainment can be calculated as a percentage.

Percentage of entertainment budget = (0.90P / P) * 100

Percentage of entertainment budget = 90%

So, entertainment will comprise 90% of Ryan's total budget.

He will allocate a monthly entertainment budget of 0.90P dollars, equivalent to 90% of his salary after taxes.

As such, the overwhelming majority of Ryan's budget will be allocated towards Entertainment. Every month, the entertainment allowance will constitute 90% of his net income as per the allocated budget.


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Please help me with homework!

Answers

Melissa will drink 7/32 gallons more water than Holden after hiking 14 miles.

How to calculate the fraction

Holden drinks 1/8 gallon of water every 2 miles, so after hiking 14 miles, he would have drank (14/2) * (1/8) = 7/16 gallons of water.

Melissa drinks 3/8 gallon of water every 2 miles, so after hiking 14 miles, she would have drank (14/2) * (3/8) = 21/32 gallons of water.

The difference in the amount of water they drink is:

21/32 - 7/16 = 21/32 - 14/32 = 7/32 gallons

Therefore, Melissa will drink 7/32 gallons more water than Holden after hiking 14 miles.

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