if a set of data has 81 values with a variance of 4.4 then the standard deviation is

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of \(-22^{\circ}\) to a high of \(16^{\circ}\).

Step-by-step explanation:

In the sinusoidal function \(y=a\sin(b(x-c))+d\), \(|a|\) represents the amplitude and \(y=d\) represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at \(y=d-|a|\) and the maximums must occur at \(y=d+|a|\).

Thus, the minimum, or low, occurs at \(y=-3-|-19|=-3-19=\boxed{-22}\) and the maximum, or high, occurs at \(y=-3+|-19|=-3+19=\boxed{16}\).

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Congruent figures have the same shaps and same sizes

Similar figures have the same shapes but different sizes

From the given picture

The two circles have equal diameters (2 small squares), then

The two circles are congruent, then

The answer is Yes for congruent, No for similar

The second figure has a square and a rectangle

They are different in shapes and sizes, then

The two shapes are not congruent or similar

The answer is NO for congruent, No for similar

The 3rd figure has 2 T shapes equal in size, then

The two shapes are congruent

The answer is Yes for congruent, No for similar

The 4th figure has two right triangles but different in sizes

The small triangle is 1/3 the big triangle, then

The two triangles are similar

The answer is Yes for similar, No for congruent

Answer:

Hello your question is poorly written attached below is the complete question

Answer :

a) R'( 120 ) = 3000

b)  Increase the manufacturers revenue

Step-by-step explanation:

Given data:

F (120) = 9000 pairs

F' (120) = -50 pairs of shoes

R(p) = P * F(p)

a) find R' ( p )

R'(p) = P * F'(p)  + F(p) * 1

∴ R' ( 120 ) =  120 * ( -50 ) +  9000 * 1

                  = 3000

b) A small Increase in price by $3000 will Increase the manufacturers revenue

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Each response includes a thorough explanation of how it was arrived at. The student seemed to have been unsure of which approach to utilize so they hedged their chances by trying both in the hopes that one of them would work. (I don't think it was rewriting that they forgot to cross out; the student presented their response as "it is either X or Y," then in subsequent questions supplied parallel replies depending on whether X or Y was accurate.)

How can I give this question a grade?

Full points given that they provided the correct response

partial marks for being "half-right"?

Or perhaps they didn't get any points since they didn't fully comprehend the issue?

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Answer:

88

Step-by-step explanation:

Answer:

The equation

c x 2 > k

l x 3 ?> c > k

g = 30 = c + l + k

this equation is the same as...

Cecile read twice as many books as Kami.

Laura read 3 times as many books as Kami, but possibly less than Cecile.

Gigi read 30 books. 30 books is the same as all 3 girls combined.

To find out how many books each girl read, you need to find 3 unequal numbers that add up to 30. These numbers are substituted, only because they can be anything at all, and I want to prevent confusions.

hope this helps!

The total number of people in attendance was 400 people in total.

Let:

x be the no of grandparents

y be the no of parents

z be the no of children

Since there are 400 people total, so we can write the equation:

x + y + z = 400

We also know that there were twice as many parents as grandparents, so we can write the equation:

y = 2x

We know that there were 50 more children than parents, so we can write the equation:

z = y + 50

Now we have a system of three equations with three variables:

x + y + z = 400

y = 2x

z = y + 50

We can solve this system using substitution method

First, we can use the second equation to express y in terms of x:

y = 2x

Next, we can use the third equation to express z in terms of x:

z = y + 50

z = 2x + 50

Now we can substitute these expressions for y and z into the first equation:

x + y + z = 400

x + (2x) + (2x + 50) = 400

5x + 50 = 400

5x = 350

x = 70

So there were 70 grandparents in attendance.

Using the second equation, we can find the number of parents:

y = 2x

y = 2(70)

y = 140

So there were 140 parents in attendance.

Using the third equation, we can find the number of children:

z = y + 50

z = 140 + 50

z = 190

So there were 190 children in attendance.

Therefore, the total number of people in attendance was:

70 grandparents + 140 parents + 190 children = 400 people in total.

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z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i

z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i

Step-by-step explanation:

Confident, In contrast to any stillness he had ever felt on land, he felt a sense of calm when the water was calm. and "He gave two weeks' notice at his job and immediately sailed off again."

fishing vessel Place on list Share. fishing boat definitions. a fishing vessel with a well for preserving the catch. A boat and a fishing smack are potential candidates. both sorts of draggers and trawlers. Fishing ships or boats are used to remove aquatic creatures from bodies of water.

A trawl is a type of fishing net that is currently dragged along or through the ocean floor at specific depths. Since trawlers are frequently bigger than fishing boats and struggle to maneuver when necessary, they are given special qualities in ror.

Thus, options A and A, B are correct.

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Answer:

Part a: confident

Part b: "The calmness that he felt when the water was placid wasn’t like any stillness that he experienced on land." and "He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend."

Step-by-step explanation: I took the test :)

Answer:

√104.

Step-by-step explanation:

To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

So, for the given points (5, -4) and (3, 6), the distance is:

d = √((3 - 5)² + (6 - (-4))²)

d = √((-2)² + (10)²)

d = √(4 + 100)

d = √104

Therefore, the distance between the two points (5, -4) and (3, 6) is √104.

Answer:

The novelist can write 3 pages per hour

Step-by-step explanation:

Unit rate is the work done per unit time.

Given

Number of pages = p = \(2\frac{1}{4} = \frac{9}{4}\) pages

Time =t = \(\frac{3}{4}\) hours

In order to find the number of pages per hour, we have to divide the number of pages by hours.

So,

\(Pager\ per\ hour = \frac{\frac{9}{4}}{\frac{3}{4}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}\\pages\ per\ hour = \frac{9}{4} * \frac{4}{3}\\= 3\ pager\ per\ hour\)

Hence,

The novelist can write 3 pages per hour

Answer:

5^-2

Step-by-step explanation:

When you multiply exponents, you can add them if they have like bases.

-4 + 2 = -2

Answer:

It would be x over 25

Answer:

720

Step-by-step explanation:

This means 6x5x4x3x2x1

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

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

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a matter of just substituting the values into the given equation.

4m^2-2n+5

If m=5 and n=9 then it becomes

4(5^2)-2(9)+5

4(25)-18+5

100-18+5

87

Answer: 81

Step-by-step explanation: 9x9= 81 you can always double check your work with a calculator also.

Answer:

A. 2.5 pounds

B. 12.5 pounds

Step-by-step explanation:

Answer:

a 2.5 b 12.5

Step-by-step explanation:

Answer:

pendiente = -2, y intersection = -1

Step-by-step explanation:

la pendiente es -2 y origen de la y es -1.

The spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.

We are given;

Kenneth is making a cake for the first time.

His recipe calls for 280 grams of sugar, but he accidentally pours 295 grams on his first try.

He uses a small spoon to remove the extra sugar.

He needs to remove 12 spoonfuls.

We need to find the quantity of sugar his spoon hold.

First, let us find the extra amount of sugar;

Extra sugar = 295 - 280 = 15 grams.

We will find each spoon by using the unitary method;

Since 12 spoonfuls hold 15 grams.

So, 1 spoonful holds 15 / 12 grams = 1.25 grams = 1250 milligrams.

So, 1 spoonful holds 1250 milligrams of sugar.

Thus, the spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.

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Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

Answer:

Option 4

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

When you have an equation like that that you have to graph, thing of 1/4 as rise/run. The nominator (1) will be moving up and down, and the denominator will be going side to side. So for this question, since the y-intercept is 0 (since there is no B), we start at zero. Then we go up 1, and to the right 4, since this equation is positive. If 4 is negative, then you would be going to the left 4.

Answer:

Y= -1.67x + 0.67

Step-by-step explanation:

Hope this was ok