for each of the following determine the n -unit percent change. the 19-unit percent change is 45 %. what is the 17-unit percent change? % the 16-unit percent change is 43 %. what is the 12-unit percent change? % the 20-unit percent change is -25 %. what is the 18-unit percent change? % the 5-unit percent change is -50 %. what is the 8-unit percent change?

Answer: 105 (altough im not entirely sure sry...)

Step-by-step explanation:

I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)

This is quite difficult so you this may not be correct

I hope

There are 200 dogs Roscoe groom if he worked for 40 hours.

What is working time?

A person's working time is the time they are engaged in paid work. Personal housework, childcare, and pet care are examples of unpaid work that is not included in the definition of the working week.

In most cases, when someone inquires about your working hours, you should first provide the start time before providing the time you leave for home.

From the given graph we can see that for each three hours the number of dogs are increased by 15.

So, for each one hour the number of dogs increased by 5.

For 18 hours the the number of dogs are 90.

After 18 hours to complete 40 hours we need 22 hours.

So, for 22 hours the number of dogs are

22 x 5 = 110.

Therefore, the total number of dogs worked for 40 hours are,

90 + 110 = 220.

Hence, there are 200 dogs Roscoe groom if he worked for 40 hours.

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By apply the law of cosine, the shortest length of wire needed is 180 feet.

In order to determine the shortest length of wire needed, we would apply the law of cosine because a mental image of the scenario described produces a right-angled triangle.

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

C² = A² + D² - 2(A)(D)cosD

Note: Angle D = 90° + 32° = 122°

Substituting the given parameters into the formula, we have;

C² = 55² + 145² - 2(55)(145)cos122°

C² = 3,025 + 21,025 - 2(7,975)(-0.5299)

C² = 24,050 - (-8,451.905)

C² = 24,050 + 8,451.905

C² = 32,501.905

C = √32,501.905

C = 180.28 ≈ 180 feet.

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To do the multiplication, we multiply 0.63 by each of the digits & decimal places of 0.24 (and align the products that we get) then add them together.

0.63 x 4 = 2.52, therefore the first missing spot is a 2.

0.63 x 2 = 1.26, therefore the second missing spot is a 2 (the 0 is so that the decimal point can be aligned for the result.)

Answer: Box 1: 2 Box 2: 2

Step-by-step explanation:

So, for box one it would be 2 because 3 x 4 = 12, put the 2 on the bottom and the 1 on the 6, then 6 x 4 + 1 = 25, then put the 5 on the bottom and the 2 on the top, then 4 x 0 + 2 = 2, so the answer would be 2.

For box 2, 252 + 1?60 = 0.1512, so we have to find the missing number. So, 2 + 0 = 2, so put the two on the bottom, then 5 + 6 = 11, so put the 1 on the bottom and the other 1 on the 2 from the first box, so 2 + 1 = 3, plus 2 more would equal 5, so the second box would be 2.

Hope this helps!

The greatest even integers that the 5 consecutive number has a sum of - 80 is - 12.

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.

Therefore, even integers are integers that are even.

There are 5 consecutive even integers with a sum of –80.

let

x = first integers

Therefore,

x + x + 2 + x + 4 + x + 6 + x + 8 = - 80

5x + 20 = - 80

5x = -80 - 20

5x = - 100

divide both sides by 5

x = - 100 / 5

x = -20

Therefore,

greatest integer = - 20 + 8 = - 12

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Answer:

6x^2+17x+12

Step-by-step explanation:

(3x+4) * (2x+3)

3x * 2x = 6x^2

3x * 3 = 9x

+4 * 2x = +8x

+4 * +3 = +12

6x^2+ 9x+8x +12

Simplify:
6x^2+17x+12

Answer:

57 coins are not nickels.

Equation: n + 57 = 70

Step-by-step explanation:

To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:

26 + 12 + 19 = 57 coins are not nickels.

The equation you could use to find n (nickels) would be:

n + 57 = 70

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The sample size that should be used is 43.

Given that;

The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.

By considering the confidence level scenario, we get to solve how large a sample should be utilized.

The significance level is (α) = 0.03 ( 97% confidence level )

The critical value is (z*) = 2.17 ( From z-table )

The population standard deviation (σ) = 0.06

The margin of error (E) = 0.02

Therefore, the required sample size is;

n = [(z* × σ)/E ]²

n = 42.383

n ≅ 43

Finally, the sample size that should be used is 43.

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Time taken by pipe 1 to fill the pool is 6 and by pipe 2 is 12.

Here we have to find the time taken by each pipe to fill the pool.

Formula to find the work:

w = r × t

where

w =  is the work done

r = is the rate of work done

t =  is the time taken to do the work

For pipe 1 working alone to fill 1 pool, the work done is 1

w1 = r1 t1

1 = r1 × t1

t1 = 1/r1

For pipe 2 working alone to fill 1 pool, the work done is 1;

w2 = r2 t2

1 = r2 × t2

t2 = 1/r2

From the question, it would take 9 hours if each pipe took turns filling half the pool. That is;

t1/2 + t2/2 = 9

t1 + t2 = 18

However, if both pipes worked together, it would take 4 hours for each pipe. That is;

w1 + w2 = w

r1t1 + r2t2 = 1

4r1 + 4r2 = 1

r1 + r2 = 1/4

As we know from the above:

r1 = 1/t1 and r2 = 1/t2

So;

1/t1 + 1/t2 = 1/4

(t2 + t1)/ t1 t2 = 1/4

t1 + t2 = 18

So

t1 t2 = 72

The only factors of 72 that satisfy the conditions

t1 + t2 = 18

t1 . t2 = 72

are 6 and 12.

Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours.

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The expression that can be used to find the temperature after it changes is 85°F + C

Temperature refers to the degree of hotness or coldness of a body at a particular time. It is measured in degree Celsius, degree Fahrenheit an Kelvin.

The instrument used to measure temperature is a thermometer.

let

The change in temperature = 85°F + C

= 85°F + (-11°F)

= 85 - 11

= 74°F

Therefore, the new temperature after a decrease in 11°F is 74°F

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The sample is a subset of the whole population selected to be questioned for the purposes of prediction or gauging opinion .

A sample is a collection of people, things, or things used in research that is taken for analysis from a larger population. To enable us to extrapolate the research sample's findings to the entire population, the sample must be representative of the population.

We must utilize inferential statistics to discover a population's characteristics by directly observing only a subset (or sample of the population) in order to derive conclusions about populations from samples.

Since it is frequently impractical and hardly ever possible, we acquire a sample of the population.

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The range of the given function is y ≥ 0 which is option B.

From the graph:

Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)

Range is defined as the set of y values or outputs.

range = 0,1,2,3 ......

Means range starts from zero to infinite(0 to all positive values.

so range = y ≥ 0

Therefore  range of the given function is y ≥ 0 which is option B.

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The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

A=l*b

=310

b=310/l

total cost=(8b+4l+16l)

=8b+20l

=8*310/l+20l

t=2480/l+20l

t'=20-2480/l²

t'=0

20l²=2480

l²=124

l=11.13 feet

b=310/11.13

b=27.85 feet

The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.

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The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

For a dilation with a scale factor of 2, we have:

Point A (-8, 1)   →   (-8 × 2, 1 × 2)  = Point A' = (-16, 2)

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A' = (-16, 2)   →  Points A' = (-(-16), -(1)) = (16, -1).

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Complete Question:

What is the image point of (-8, 1) after the transformation D₂ о R180°?

In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.

Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.

An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.

Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.

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The representation of the composite function (fg)(x) is (fg)(x) = 10x

From the question, we have the following function definitions

f(x) = √2x

g(x) = √50x

The function to calculate is given as (fg)x

This can be calculated using

(fg)(x) = f(x) * g(x)

Substitute √2x for f(x) and √50x for g(x) in the above equation

So, we have

(fg)(x) = √2x  * √50x

Evaluate the products

(fg)(x) = √100x²

Evaluate the exponents

(fg)(x) = 10x

Hence, the possible equation is (fg)(x) = 10x

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Answer:[tex]\frac{3}{-2}[/tex]

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

start at (0,1)

go up 3 units

then go left 2 units

slope= [tex]\frac{3}{-2}[/tex]

With the help of probability we can say that there are 1140 ways.

acc to our question-

Hence,we can say that there are 1140 ways.

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Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

   Y intercept = 4

2). The graph,

    Y intercept = (2)

3). Graph represented by table

    Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

    Y intercept = -2

It is the total distance from the origin and the intersection of y axis and the formed line. It may be positive, negative or zero.

  From the graph,

    y-intercept = (2)

A line passes through two points (-2, -3) and (4, 0),

Slope of the line = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                           = [tex]\frac{0-(-3)}{4-(-2)}[/tex]

                           = 1/2

Equation of a line passing through a point (x', y') and slope = m

y - y' = m(x - x')

If the point is (4, 0) and slope = 1/2

y - 0 = 1/2 ( x - 4 )

y = 1/2x - 2

y-intercept of this line = (-2)

A linear function has been given as,

y = [tex]\frac{1}{2}[/tex]x + 4

Comparing it with the slope intercept equation,

y = mx + b

b = y-intercept = 4

From the given table,

For x = 0, f(x) = 1

Therefore, y-intercept = 1

Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

Y intercept = 4

2). The graph,

Y intercept = (2)

3). Graph represented by table

Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

Y intercept = -2

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The measure of the exterior angle as shown in the triangle is 140°.

Exterior angle is the angle between a side of a polygon and an extended adjacent side.

Exterior angle theorem: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

From the diagram below, applying the theorem above,

Hence, the exterior angle is 140°.

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The constant of variation is 13.

The value of y when x is 15 is 195.

Direct variation is when two values move in the same direction. If one variable increases, the other variable increases.

The equation that represents direct variation is:

y = kx

Where:

91 = 7k

k = 91 / 7

k = 13

The value of y when x = 15

y = 13 x 15

y = 195

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The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.

A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.

The percent of change would be the ratio of the amount of change to first number times 100.

Given the first figure of bag is 26 pounds and the last figure is 30 pounds.

The amount of increase is subtracting 26 from 30.

30 - 26 = 4 pounds.

The percent of increase is

[tex]= \frac{4}{30} \times 100[/tex] %

[tex]= 0.1333 \times 100[/tex] %

[tex]= 13.33[/tex] %

Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.

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Answer:

-[tex]\frac{1}{4}x[/tex] + y = -2

Step-by-step explanation:

Standard form: Ax + By = C

y + 2 = [tex]\frac{1}{4} x[/tex]

Rearrange terms:

1. Subtract 2 from both sides

y =  [tex]\frac{1}{4} x[/tex] - 2

2. Subtract  [tex]\frac{1}{4} x[/tex] from both sides

-[tex]\frac{1}{4}x[/tex] + y = -2

By evaluating the linear equation we will see that:

A = -3

B = 4

And the correct line is the purple one.

We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12

To find the value of A, we can replace the values of the point on the line, so we get:

3*0 - 4*A = 12

-4*A = 12

A = 12/-4 = -3

A = -3

To get the value of B we do the same thing.

3*B - 4*0 = 12

B = 12/3

B = 4

So the points are (0, -3) and (4, 0).

Then the correct line is the purple one.

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Answer:

x = 6

Step-by-step explanation:

Given equation,

→ 3x - (2/3)x = 14

Now the value of x will be,

→ 3x - (2/3)x = 14

→ (9/3)x - (2/3)x = 14

→ ((9 - 2)/3)x = 14

→ (7/3)x = 14

→ 7x = 14 × 3

→ x = 42/7

→ [ x = 6 ]

Hence, the value of x is 6.

[tex]\huge\begin{array}{ccc}BT=21\\DC=10.2\end{array}[/tex]

If BT is the midsegment of ΔMAH and DC is the midsegment of ΔBTH, then MA, BT and DC are parallel.

Therefore the segments form the proportion:

[tex]\dfrac{HM}{MA}=\dfrac{HB}{BT}=\dfrac{HD}{DC}[/tex]

BT is the midsegment of ΔMAH, therefore

[tex]HB=\dfrac{1}{2}HM[/tex]

DC is the midsegment of ΔBTH, therefore

[tex]HD=\dfrac{1}{2}HB=\dfrac{1}{2}\cdot\dfrac{1}{2}HM=\dfrac{1}{4}HM[/tex]

[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{2}HM}{BT}[/tex]

cross multiply

[tex]HM\cdot BT=42\cdot\dfrac{1}{2}HM[/tex]

divide both sides by HM

[tex]\boxed{BT=21}[/tex]

[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{4}HM}{DC}[/tex]

cross multiply

[tex]HM\cdot DC=42\cdot\dfrac{1}{4}HM[/tex]

divide both sides by HM

[tex]\boxed{DC=10.5}[/tex]

Constant of variation, k of the direct variation is 8/5.

Equation -> y = kx

Point (x,y) = (5,8)

Putting the value in the equation,

8 = 5k

k = 8/5

Hence, k = 8/5.

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