PLS HELP Which function has the same slope as the graph of the function represented by the table.

PLS HELP Which Function Has The Same Slope As The Graph Of The Function Represented By The Table.

Answers

Answer 1

The slope of the given function is 0.25. The function that has  the same slope is y = 0.25x + 5. Option B is the correct option.

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given table is

x         0          1            2             3

y      -0.5       -0.25      0           0.25

The slope of a function that passes through the points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁)

Assume that x₁ = 0, y₁ = -0.5, x₂ = 1, y₂ = -0.25

The slope of the function is [-0.25 - (-0.50)]/(1 - 0) = 0.25

Now compare the equation y = -0.25x - 2 with y = mx + c

m =  -0.25

The slope of the function is -0.25.

Now compare the equation y = 0.25x + 5 with y = mx + c

m =  0.25

The slope of the function is 0.25.

Now compare the equation y = 4x - 5 with y = mx + c

m =  4

The slope of the function is 4.

Now compare the equation y = -4x + 34 with y = mx + c

m =  -4

The slope of the function is -4.

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Related Questions

Identify the variation as direct, inverse, joint or combined x/y =c
O joint
O direct
O combined
O inverse
NEXT QUESTION

Answers

I think for x/y=c it would be Direct.

Find zeros of quadratic polynomial
x²+x -20

Answers

Answer:m,m,

Step-by-step explanation:

Answer:

Zeros:

x = -5x = 4

Step-by-step explanation:

Given quadratic polynomial:

[tex]x^2+x -20[/tex]

The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.  

Therefore, to find the zeros of the given function, set it to zero and solve for x.

Factor the quadratic:

[tex]\implies x^2+x-20=0[/tex]

[tex]\implies x^2+5x-4x-20=0[/tex]

[tex]\implies x(x+5)-4(x+5)=0[/tex]

[tex]\implies (x-4)(x+5)=0[/tex]

[tex]\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}[/tex]

Apply the Zero Product Property:

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the given quadratic polynomial are:

x = -5x = 4

A car is traveling at a rate of miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in minutes? Do not round your answers.

Rate blank mi/min
Distance traveled in five minutes blank mi
Image provided

Answers

Answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

What are mathematical operations?

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, we know that the rate of the car is 57 miles/hour.

(A) Car rate in miles/min

We know that 1 hour has 60 minutes. Then,

57/60

0.95 miles/min

(B) Distance traveled in 5 min:

0.95 * 5

4.75

Rounding off: 4.8 miles

Therefore, answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

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"Cara" opened a savings account and deposited "$800.00" as principal. The account earns 10% interest, compounded annually. What is the balance after 4 years

Answers

320.00 dollars every 4 years

Which model represents a function?

Answers

Model III represents a function by vertical line test.

What is Vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.

According to the given question:

Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.

Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.

Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.

Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.

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If two-thirds of a women’s age is 42, how old is she

Answers

Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.

Question 15 of 25
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
Gross
Income
Delaney $77,568
Jamie $71,234
Oliver $74,872
Thomas $77,623
Standard
Deduction
$8350
$5700
$8350
$5700
2
1
1
3
Number of Exemptions at
$3650 Each
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?

Answers

If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

What is taxable income?

The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).

Data and Calculations:

                 Gross Income     Standard       Number of       Taxable

                                            Deduction   Exemptions at     Income

                                                                   $3,650 Each

Delaney          $77,568          $8,350                               $69,218 ($77,568 - $8,350)

Jamie               $71,234         $5,700                               $65,534 ($71,234 - $5,700)

Oliver              $74,872         $8,350                               $66,522 ($74,872 - $8,350)

Thomas          $77,623         $5,700                                $71,923 ($77,623 - $5,700)

Hence, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

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PLASE HURRY
Given an equilateral triangle with side length of 2x+4 what is the perimeter of the triangle? To earn full credit, show your work using a method explained in the Orientation.

Answers

Perimeter is 30.A triangle's perimeter is measured in the same unit as its side lengths.

What is the perimeter of the triangle?

Additionally, a triangle's perimeter and side lengths are measured in the same unit.If the lengths of its sides are measured in a different unit, first convert them to that unit.

Perimeter of a triangle = sum of all three sides.

Since it's equilateral, just solve for x with any of the 2 sides being equal

2x + 4 = 3x + 1

Subtract 1 from both sides

2x + 3 = 3x

Subtract 2x from both sides

3 = x

Perimeter is 10 + 10 + 10 = 30

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Solve x2 + 2x + 7 = 0 using the quadratic formula. Select all solutions that apply.

Answers

Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

What is the quadratic formula?

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula:

(-b±√(b²-4ac))/(2a)

Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.

So, solving x²+2x+7 using the quadratic formula as follows:

Quadratic formula: (-b±√(b²-4ac))/(2a)

Substitute values and caluclate:

x = (-b±√(b²-4ac))/(2a)

x = (-2±√(2²-4(1)(7))/(2*1)

x = (-2±√4-28)/(2)

x = (-2±√-24)/(2)

Complex roots:
x = (-2±2√6i)/(2)

x = -2/2 ± 2√6i/2

Simplifying fractions:
x = -1 ± √6i

So, we have:
x = -1 ± 2.44949i

Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

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Consider the graph of equation y=mx+b

How does changing the value of m affect the graph of the equation?​

Answers

The value of m is the slope of the graph. If the value of m changes so does the slope.

49x3x7x1 = show your work

Answers

Answer:

1,029

Step-by-step explanation:

Name each polynomial by degree and number of terms.

-6x^4-2x^2+2

A. quintic binomial
B. quadratic binomial
C. quartic trinomial
D. quartic monomial

Answers

Answer:   C. quartic trinomial

Reason:

It's a quartic because the largest exponent is 4 (so the degree is 4).

It's a trinomial since it has 3 terms.

Cara wants to build an 80 foot long rectangular sheep pen in back of her barn. If she bought 180 feet of fencing and used her barn wall as one side of the pen equaling the width, what would be the area of the sheep pen?.

Answers

If cara wants to build an 80 foot long rectangular sheep pen in back of her barn then the area of the sheep pen will be 1600 square feet.

What shape is a rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

What is the formula for area of rectangles?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle as Area = length x width

Length of the sheep pen =80 ft

bought fencing = 180 ft

One side of rectangular sheep pen is covered with barn which is equaling the  width

perimeter of rectangular sheep pen = 2(length +width)

length need to covered is 2 Length+ width

180 =2 length+width

180 = 2 x80 +width

180-160= width

20= width

Area of rectangle = 80 x 20

=1600 square feet

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Your store is 150 ft. X 70 ft. The security cameras you are planning to purchase each cover 400 square feet. You want to cover the whole store. How many cameras do you need?.

Answers

There should be 27 cameras.

What is area?

The amount of space filled by a flat (2-D) surface or an object's form is known as its area. Draw a square on a sheet of paper with a pencil. A 2-D figure, that is. The term "Area" refers to the area that a form occupies on paper. Now picture that your square is composed of smaller unit squares.

It is 150 feet by 70 feet.

The size of the store will be 150 x 70  feet, or 10,500 square feet. The security cameras now each have 400 square feet.

The area of the shop / each camera's area will determine how many cameras are needed, which is 10500/400.

which is 27

27 cameras are therefore required.

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This year consumers purchased 7,234,267,990 strawberries. Last year consumers purchased 2,000,900,999 strawberries. Which is the best estimate of how many more strawberries were sold this year than last year?

Answers

The estimated value was 9,000,000,000 strawberries sold this year than last year.

As per the given information, the required solution would be as:

We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.

Rounding up to the closest full number is the best approximation.

This year, 7,234,267,990 strawberries were purchased.

Last year, 2,000,900,999 strawberries were purchased.

Based on the above value, the estimated number of strawberries sold this year and the previous year is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.

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the probability that a restaurant passes its health department inspection is 0.94. the owners of 58 restaurants are surveyed to see if their restaurants passed inspection.
For each binomial experiment described, find
A. the mean
B. the variance
C. the standard deviation

Answers

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                       = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

            = 58 × 0.94

            = 54.52

Standard deviation 'σ' = √ np (1 - p)

      = √ 58 × 0.94 × 0.06

                                  = √3.2712

                                  = 1.808

Variance 'σ²' =  np( 1 - p )

                   = 58 × 0.94 × 0.06

                  = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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27. Households consume much more electricity when the weather is warmer. Temperate and electricity is related as stated below. Round answers to the nearest hundredth. Questions: Temperature °F Electricity (KWH) 56 30.8 63 35.4 67 37.7 b) Determine the strength of the correlation coefficient, r. c) Determine the direction of the correlation coefficient, r. 76 a) Find the correlation coefficient round to four decimal places. d) Write the equation that best represents the data. 41.1 79 43.1 e) If the temperature was 90°F, what is the predicted electricity usage? 82 44.8 f) If a household uses 38 KwH of energy, what would be the temperature outside be?​

Answers

Answer:

Step-by-step explanation:

the power house of the midriccondria examples of solutions of the 9+ 10 so the annswer is 11

One brand of orange juice is sold in four different sizes. The 8 ounce carton costs $0.99. The 48-ounce carton costs $2.49. The 64-ounce carton costs $3.75. Which size is the Best Buy? Explain how you determine your answer

Answers

To determine which size is the best value, we must find the cost per ounce of each. We can do so by creating rates for each size.

8 ounce size: .99/8 = $.123 per ounce

48-ounce size: 2.49/48 = $.0518 per ounce

64-ounce size: 3.75/64 = $.0585 per ounce

Is there a fourth size mentioned?

Out of the three sizes we have here, the 48-ounce size would be the best value because it has a unit rate of $.0518 per ounce, which is lower than the other sizes.

Btw, I noticed you are low on points. I can put a random question up on my account with 50 points for you if that helps you out.

This year's soybean crop of 224000 t represents an increase of 40% over last year's crop. How many tons of soybeans were produced last year?

Answers

well, last year it was "x", which oddly enough is the 100%.

now, this year is 224000 tons, and that's an increase of 40%, so that's really the 100% + 40% = 140%, so if 224000 is the 140%, what's "x"?

[tex]\begin{array}{ccll} tons&\%\\ \cline{1-2} x & 100\\ 224000& 140 \end{array} \implies \cfrac{x}{224000}~~=~~\cfrac{100}{140} \implies \cfrac{ x }{ 224000 } ~~=~~ \cfrac{ 5 }{ 7 } \\\\\\ 7x=(5)(224000)\implies x=\cfrac{(5)(224000)}{7}\implies x=160000[/tex]

meal A has 170 calories in 3 servings. Meal B has 160 calories in 4 servings. Which meal has more calories per serving​

Answers

Answer: Meal B

Step-by-step explanation:

Let's find Meal A

170 divided by three = 56.7 Calories per serving

Find Meal B

160 divided by 4 =  60 Calories per serving

Meal B has more Calories per serving!

Which recursive sequence would produce the sequence
10,35,135,...?

Answers

Answer:

10, 35, 135, 410, 1235, ...

Step-by-step explanation:

a(1) = 10

a(n) = 3 * a(n-1) + 5

This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:

a(1) = 10

a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35

a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135

a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410

a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235

And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...

Consider AXYZ in the figure below.
The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.
(In other words, S is the circumcenter of AXYZ.)
Suppose VS 80, YZ=86, and ZS=116.
Find XS, UZ, and VY.
Note that the figure is not drawn to scale.
X
T
Z
XS = []
UZ = 0
VY = 0
X
S

Answers

The value of XS = 116, UZ = 43, and VY = 84.

What are perpendicular bisectors?

A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.

Here, we have

Given

The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.

VS 80, YZ=86, and ZS=116 and we have to find XS, UZ, and VY.

TS, US, and VS are perpendicular bisectors

So, XV = VY, YU = UZ, XT = TZ

Then, ΔYST ≅ ΔZST

ΔYSV ≅ ΔXSV

ΔYUS ≅ ΔZUS

So, XS = ZS = 116

UZ = 1/2YZ = 1/2×86 = 43

VY = VX

VX² + VS² = XS²

VX = √XS² -VS²

VX = √116² - 80²

VX = 84

Hence, the value of XS = 116, UZ = 43, and VY = 84.

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Which expression is equivalent to the following complex fraction? 1 + startfraction 1 over y endfraction divided by 1 minus startfraction 1 over y endfraction.

Answers

On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex]  that is  is  equivalent to the given  complex fraction.

What is expression?

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Here the Expression, we have is -

[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]

We must figure out the expression that equals the provided complex fraction.

The answer to the query is

Take the LCM of the numerator and denominator first.

We get,

[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]

[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]

[tex]\frac{y+1}{y-1} \\[/tex]

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How many square inches of gift wrap will be needed to cover a box that is 5in x 7in x 3in?

Answers

Answer:

65 sq.inches

Step-by-step explanation:

To find the total surface area of a box, you need to calculate the area of each of its faces and add them together. In this case, the box has three faces with dimensions 5 inches by 7 inches, and three faces with dimensions 5 inches by 3 inches.

The total surface area of the box is therefore:

(5 * 7) * 2 + (5 * 3) * 2 = 35 + 30 = 65 square inches

This means that you will need 65 square inches of gift wrap to cover the box.

Hope this helps you

Answer: 142 squared inches of gift wrap

Step-by-step explanation:

To find how many square inches of gift wrap you would need, you would use the formula for the surface area of the box (rectangle)

Formula: 2 ( length x width + width x height + height x length ) = Surface Area

Now plug the numbers in from the  given dimensions

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = Surface Area

Now solve...

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = 142

Giving you the answer of 142 squared inches of gift wrap

Hope this is correct and helpful! ^^

what are the expected value and standard erro for the sampling distribution of the sample proportion?

Answers

The anticipated value and standard error are 0.75 and 0.0306, respectively.

Explain the term standard error?The population mean's likelihood to differ from a sample mean is indicated by the standard error of a mean, and simply standard error. It reveals how much what the sample mean will change if a study were to be repeated with fresh samples drawn from a single population.

If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.

np ≥ 10n(1 - p) ≥ 10

As per the given question;

population proportion P = 0.75 size of the sample n = 200

Let P' represents the sample proportion.

Regarding the sample proportion's sampling distribution:

The anticipated value is calculated using,

μp = P

μp = 0.75

As a result, 0.75 is the expected value.

Now, for the standard deviation-

σp = √P(1 -P)/n

σp = √0.75(1 - 0.75)/200

σp = 0.0306

Because the standard error is specified as; the value is 0.0306.

As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.

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The complete question is-

A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.

Let g(x)=x²-5 and h(x) = 3x + 2. Find (hog)(x)

Answers

The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

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(05.01)
The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is

Answers

The x-coordinate of the solution to the system of equations plotted is -2

How to find the x-coordinate of the solution to the system of equations

The x-coordinate of the solution to the system of equations is sought by examining the attached graph

The point where the two lines plotted intersect is the solution. At this point, like any other point in a coordinate system will have x coordinate and y coordinate

The x coordinate is solved by tracing the from the point to the x axis, The value where the imaginary trace line drawn intersects the x coordinate is the solution at the x coordinate

This point has the values of -2 in the x axis

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a student was marked tardy five different time in a 40 day period. What percent of the times was the student tardy

Answers

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

add -1[tex]\frac{1}{4}[/tex] 0.75 +0.45. Write your answer as a decimal to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

-0.05

Answer: -1/20, or -0.05

Step-by-step explanation:

rewrite -1 1/4 as -5/4

rewrite 0.75 as 75/100 and simplify = 3/4

rewrite 0.45 as 45/100 and simplify = 9/20

-5/4+3/4 = -2/4 = -1/2

-1/2+9/20 find LCD

LCD = 20

-1/2 * 10/10

-10/20+9/20= -1/20

a set of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? 32 37 ...

Answers

The greatest possible integer that could be in this set is 43.

The group of 15 different integers in this instance has a range of 25 and a median of 25. The greatest value that can be entered will be limited by that range.

With a median of 25, we can deduce that 7 numbers fall within the range of 25 and above, and 7 numbers fall within this range.

We must increase the smallest value in order to increase the largest value. Here's how to accomplish it:

18 19 20 21 22 23 24 25

With 18 as the lowest value and a range of 25, 43 would be the highest value.

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A(n) _____ identifies when, how, and why money is expected to come into the business, and when, how, and why it is expected to leave.a. bearerb. overdraftc. chargeback What is 8.7% of $1,541 4. Why should you include both reasons and evidence in a literary analysis?Readers will need both before deciding whether to accept your interpretation.Readers will expect your literary analysis to look just like other such essays.Evidence and reasons make it appear as if you have researched your topic.Evidence is meaningless without reasons to back it up. rate?2) James Bond took 4.5 minutes to complete a Grand Prix circuit when driving at an average speed.97 mph. How long would it take to complete one circuit driving at a speed of 112 mph. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4). Find the coordinates of endpoint G Please help! For physics Find the range of the function f(x)=x^2- 6x if the domain is (-7,-2, 1) what type of segmentation did general mills use when it launched quericavida as an online platform for single moms? (20 POINTS 1 or 2 paragraphs pls) Who do you think did more to spread Christianity-Paul or Constantine? Think about: Pauls travels, the opening of Christianity to the Gentiles, Constantines power as an emperor. A large tree casts a shadow that is 51 feet long. A 6-foot-tall person standing next to the tree casts a shadow that is 4.5 feet long. How tall is the tree? Solve each system by elimination: 4x-7y=10 3x+2y=-7 Select the correct text.A spherical ball for a machine was made with a radius of 2 centimeters.If the ball has a mass of 278.1 grams, which material was used to make the ball?Copper-8.3 g/cmBrass -8.6 g/cm Iron - 7.8 g/cm The sum of two numbers is 33. One number is 2 times as large as the other. What are the numbers? For a ride on a rental scooter, Kevin paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Kevin's ride was $19.64. For howmany minutes did Kevin ride the scooter?minutes which graph represents the solution to this system of inequalities? y < -x - 3 y > 2x - 4 Record two details from placard _____that show how it relates to this category Describe Henry VIII's role in first defending the Church and then breaking with the Church. What were the reasons for his change of heart? What was a result of this? Your response should be at least 5-7 sentences. does the pivot point (i.e., the triangle in the diagram upon which the ruler balances) exert a force on the ruler? does it exert a nonzero torque about the pivot? When Alvin woke up in the morning, it was 9F. By the afternoon, the temperature had risen to 2F. the keys to successful implementation of any information technology project are planning and execution. T/F