What is the equation of the function
shown by the graph? Show your work.
-8
-4
Ay
8
4
O
-4
-8
4
8
XA

When each value of the data in one of the sample linked to the data value in another given sample , then samples are known as paired samples.

Therefore, paired samples is representing the linking of data values of one sample to the data values of other sample.

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The relationship between w and s can be represented as s = 3w.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

When 4 grams are added to the spring, the spring stretches 4 × 3 = 12 centimeters.

When 6 grams are added to the spring, the spring stretches 6 × 3 = 18 centimeters.

In this way, if w grams are added to the spring, the spring stretches w × 3 centimeters.

Let s represent the distance the spring is stretched.

s = 3w

Hence the required relationship is s = 3w.

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Answer:

Step-by-step explanation:

1. Area=113.1 mm^2

2. Radius=12mm

Area=452.4 mm^2

3. Radius=8 mm

Area=201.06 mm^2

4. Radius=1 km

Area=3.1416 km^2

There are 4.6×10⁵ nanometer present in "4.6×10⁻⁴ meter " .

The Unit nanometer (nm) is a very small unit of length measurement, used to measure the size of particles, proteins, and other small objects.

One meter is equivalent to 10⁹ nanometers, so converting from meters to nanometers is done by multiplying by 10⁹ .

To convert 4.6 × 10⁻⁴ meters to nanometers, we simply need to multiply the value by 10⁹ :

⇒ (4.6 × 10⁻⁴ meters)×(10⁹ nanometers/meter)

⇒ 46,000 nanometers = 4.6×10⁵ nanometers  .

Therefore, 4.6×10⁻⁴ meter is equivalent to 4.6×10⁵ nanometers .

The given question is incomplete , the complete question is

How many "nm" are there in 4.6×10⁻⁴ m ?

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Answer:

A. The perimeter can also be represented by the expression 8x−2 because 4(4x−6) can be simplified to 8x−2.

Answer:

HCF = 6.

Step-by-step explanation:

The Highest Common factor is 6.

Other common factors are 1, 2 and 3.

The missing sides are of the given triangle are of 26.69 units and 11.33 units.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Given that:

One angle of a right angled triangle measures 67 degrees.

Hypotenuse of that right angled triangle measures 29 units.

To find:

Missing sides of the triangle.

Calculations:

The sine trigonometric ratio gives us ratio of perpendicular to hypotenuse from perspective of the considered angle.

Referring to the figure attached below,

sin∠ACB = AB/AC

sin 67° = AB/29

0.9025 = AB/29

i.e. AB = 26.69

Similarly,

cos∠ACB = AB/AC

cos 67° = AB/29

0.3907= AB/29

i.e. AB = 11.33

Thus, the missing sides are of the given triangle are of 26.69 units and 11.33 units.

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The lateral surface area of the rectangular prism is 36 squared centimeters.

Lateral surface of any given shape is all its surface excluding its base and top. Such that the lateral surface area of a given shape is the area of all its surface apart from that of its base and top.

In the given rectangular prism, its lateral surface area can be determined as:

i. area of a rectangle 1 = length x width

                                = 6 * 2

                                = 12

area of its rectangular sides = 2 * 12

                                      = 24 squared centimeters

ii. area of a rectangular surface 2 = 3 * 2

                                                 = 6

area of its rectangular sides 2 = 2 * 6

                                     = 12 squared centimeters

Therefore,

its lateral surface area = 24 + 12

                                     = 36 squared centimeters

The lateral surface area of the prism is 36 squared centimeters.

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Since the cell population doubles at constant intervals, we can use the formula for exponential growth: N = N0 * 2^(t/k), where N0 is the initial population, t is the time elapsed, and k is the doubling time.

Since we are told that the population will double four hours from now, and since we are not given the initial population or the doubling time, we cannot determine the final population when the bacteria will be destroyed.

As the division two hours ago and the division just now, the population quadrupled that is two doubling periods, so each doubling period is about an hour.

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Answer:

D. p - 0.20p

Step-by-step explanation:

Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

What is the percentage of a number?

Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".

Given information-

The length of the living room is 12 feet.

The width of the living room is 8 feet.

The owner increases the 20 percent of length and 20% width.

Suppose new length is  feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,

Thus the new length of the living room is 14.4 feet long.

Suppose new width is  feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,

Thus the new width of the living room is 1.6 feet long.

Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

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The values of x in the circles and secant lines are 2.3, 4 and 1

To calculate x, we make use of the tangent-secant line theorem which stated that

c² = b * d

Using the above as a guide, we have the following:

Shape (10)

(14 + x + 2) * 14 = 16^2

This gives

16 + x = 18.3

Collect and evaluate the like terms

x = 2.3

Shape (11)

(4x + 9) * 9 = 15^2

This gives

4x + 9 = 25

Collect and evaluate the like terms

x = 4

Shape (12)

x * (x + 8) = 3^2

This gives

x^2 + 8x - 9 = 0

Factorize

(x + 9)(x - 1) = 0

So, we have

x = -9 and x = 1

x = -9 is invalid

Hence, the value is 1

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Answer:

b = 3

Step-by-step explanation:

2b + 5b - 7 = 14

7b - 7 = 14 ( add 7 to both sides )

7b = 21 ( divide both sides by 7 )

b = 3

the value from the replacement set is 3

The one of many solutions of the system is x = 0 and y = 0.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A system of equations,

x + 6y = 0

30y = -5x

Simplifying,

x + 6y = 0

Both are the same equation,

so there are infinitely many solution possibles.

Therefore, solution is x = 0 and y = 0.

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According to the Rank-Size Rule, the population of the 5th largest city in this region is estimated to be 1.1 million people.

The Rank-Size Rule states that the population of a city (n) in a region is proportional to the population of the largest city (P1) in that region, with a power of -1.

So, the population of the nth city in a region can be calculated using the formula:

Pn = P1 / n^1

So, for the 5th largest city in a region where the largest city has 5.5 million people, the population can be calculated as follows:

P5 = 5.5 million / 5^1 = 1.1 million

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Answer:

tmr afternoon on a thursday bc im getting a hamburger with no honey mustard.

Step-by-step explanation:

im doing it rn.

To solve this problem, we can set up an equation by considering the value of nickels and dimes. By solving the equation, we can find the number of nickels and the number of dimes.

Let's assume the number of nickels as x.

The value of nickels is 0.05x dollars.

The number of dimes is stated as '5 more than twice the number of nickels,' which can be expressed as (2x + 5) dimes.

The value of dimes is 0.10(2x + 5) dollars.

Since the total value of the coins is $3.00, we can set up the equation:

0.05x + 0.10(2x + 5) = 3.00

Solving the equation will give us the number of nickels and dimes.

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Capacity is very expensive, so it is run at high utilization. There is a lot of variability in arrivals and processing times. Waiting or throughput times are long for this process.

Gaining understanding of the trade-offs operations managers must make is a major contribution of OR/MS models. One such trade-off concerns capacity, inventory, and variability: while the firm would want to function at 100% capacity utilization with very no inventory and tolerate high levels of unpredictability, this is not realistic.

The trade-off between these three competing goals is demonstrated and clarified using the conventional G/G/1 queueing paradigm. This insight can be described as a relationship between capacity, inventory, and the third parameter of information in situations where greater information can be used to lessen the variability in services or in arrivals (rather than variability).

Adopting the terminology of Lovejoy (1998), this inter- relationship is referred to as the OM triangle. Finding her company's ideal location in relation to the OM triangle is the manager's responsibility, as was mentioned in this article.

With variable arrival and processing times, there is a long wait period. It should have high utilization because of expensive capacity.

Therefore, the correct option is All the other answers are correct (A).

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complete question: If a process is best situated close to the inventory corner of the OM triangle, then this must mean:

a. All the other answers are correct.

b. Capacity is very expensive, so it is run at high utilization.

c. There is a lot of variability in arrivals and processing times.

d. Waiting or throughput times are long for this process.

The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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Answer:

Step-by-step explanation:

Answer: No Solution

1. Substitute the given value of x into the equation:

-2(y+2)+2y=4

2. Solve the equation for y

No Solution :-)

GIVE BRANLIEST

Infinitely many solutions

∞

x - y = 2

2x - 2y = 4

x = y + 2

2•(y +2) - 2y = 4

0 = 0 =>  Infinitely many solutions

Answer:

The expression 4 - 2y - 8y + 7.5 can be simplified as follows:

4 - 2y - 8y + 7.5

= 4 - (2y + 8y) + 7.5

= 4 - 10y + 7.5

= 4 + 7.5 - 10y

= 11.5 - 10y

So, the simplified answer is 11.5 - 10y.

Answer:  -10y+11.5

Step-by-step explanation:

After simplification, value of expression is (x - 2y) (x² - 4) / 8.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The algebraic fraction is,

⇒ (x² - 4xy + 4y²) / (2x - 4) ÷ (x - 2y) / (x - 2) × (x² - 4) / 4

Now, Simplify the expression as;

⇒ (x² - 4xy + 4y²) / (2x - 4) ÷ (x - 2y) / (x - 2) × (x² - 4) / 4

⇒ (x² - 4xy + 4y²) / (2x - 4) × (x - 2) / (x - 2y) × (x² - 4) / 4

⇒ (x² - 4xy + 4y²) / (2x - 4) × (x - 2) / (x - 2y) × (x - 2) (x + 2)/ 4

⇒ (x - 2y)² / 2(x - 2) × (x - 2) / (x - 2y) × (x - 2)(x + 2) / 4

⇒ (x - 2y) / 2 × (x² - 4) / 4

⇒ (x - 2y) (x² - 4) / 8

Thus, After simplification, value of expression is (x - 2y) (x² - 4) / 8.

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Answer:
Question 1:
Of the 37 children that can't swim, 11 are in Year 4.

Therefore, 26 children in Year 4 can swim.

Question 2:

There are 21 children in Year 5 who can swim.

In Year 6, there are 30 children, 18 of which can swim.

Therefore, a total of 21 + 18 = 39 children who can swim.

He is over budget by $1,333.33 - $800 = $533.33 per month.

Budget can be defined as a financial plan that outlines expected income and expenditures for a specific period of time, usually a month or a year. It is a tool used to manage personal to ensure that there is enough money coming in to cover all of the necessary expenses and to prioritize spending in a way that aligns with one's financial goals.

Budget helps to track and control spending, identify areas where expenses can be reduced and make adjustments as needed to stay on track.

If he gives away 60% of his budget, then his monthly budget is $800 / 0.6 = $1,333.33.

So, he is over budget by $1,333.33 - $800 = $533.33 per month.

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The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The average of a group of variables is referred to as the mean in mathematics and statistics.

There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Thus, given statement is true.

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Answer

Because 1 = 100%, it is certain that the sun will rise tomorrow

Step-by-step explanation:

Answer:

x^2 + 6x + 5

see attached image for sol

Answer:

[x^2 + 6x + 5]

Step-by-step explanation:

(x + 1)(x + 5)

Utilize FOIL

First

Outer

Inner

Last

x * x = x^2

x * 5 = 5x

1 * x = x

1 * 5 = 5

x^2 + 5x + x + 5

Combine like terms:

[x^2 + 6x + 5]

Answer: To express the expression 8x - x² in the form a - (x + b)², we can complete the square method.

First, we'll add (1/2)^2 = 1/4 to both sides of the expression:

8x - x² + 1/4 = 1/4

Next, we'll rearrange the left-hand side to the desired form:

(2x - 1/2)² - 1/4 = 1/4

Now, we can identify a = -1/4, b = 1/2, so the expression is:

a - (x + b)² = -1/4 - (x + 1/2)²

Step-by-step explanation:

Answer:

Let A B = x miles = 18

     B C = y miles

t1 = (18 + y) / 10        time for biker 1 to reach C

t2 = y / 4  = y / 4

t1 = t2       both bikers reach C at same time

(18 + y) / 10 = y / 4

72 + 4 y = 10 y

y = 12     distance from B to C

Check:

A C = 12 + 18 = 30 km

t1 = (18 + 12) / 10 = 3 hr

t2  = 12 / 4 = 3 hrs

So both meet  at C in 3 hrs

The sum of an infinite geometric series is given by a+ar+ar^2  where a is the first term and r is the common ratio.

The sum of the series  can be represented by :

a / ( 1 - r)  = 12

a = 12 ( 1- r )    (1)

So....note that the sum of the  terms  with odd powers of r  can be represented by :

ar  + ar^3  + ar^5 + ar^7 +  ..... + ar^(2n - 1)  =  5   (2)

And note that the sum of the  terms  with even powers of r  can be represented by :

a  +  ar^2  + ar^4 + ar^6 + ar^8 +  ..... + ar^(2n)  =  7   (3)

Multiply (2)  by r on both sides

ar^2  + ar^4  + ar^6 + ar^8 +  ..... + ar^(2n )  =  5r     (4)

Subtract   (4)  from (3)

a  = 7 - 5r    (5)

Sub (5)  into (1)

7 - 5r  = 12(1 - r)

7 - 5r  =  12 - 12r

7r = 5     →   r  =  5/7

Check

a = 7 - 5(5/7)  =  24/7

a / ( 1 - r)  =

(24/7) / ( 1- 5/7)  =

(24/7) / ( 2/7)  =

24 / 2   =

12

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