Given the set of numbers: {3, 8, 2, 2, 5} Find the mean. Enter your answer as a whole number with zero decimal places.

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

16 gallons

Step-by-step explanation:

We need to find 4/5 of 20 gallons.

To do this, simply multiply 4/5 by 20.

\(\implies \dfrac{4}{5} \times 20=\dfrac{4 \times 20}{5}=\dfrac{80}{5}=16\)

Answer:C:$18.50

Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...

Answer:

c

Step-by-step explanation:

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

if the net where to be folded into a cube number 6 will be opposite number 1.

Step-by-step explanation:

If the net where folded into a cube the number that will be opposite to number 1 will be 6 . The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required . Folding the paper to form a cube, you will discover that the number 6 is opposite the number 1 value.

Or from the picture you will notice when you close the number 5, the number 4 will be on top of number 1 and the 6 can then be bend  down which makes it opposite the number 1.

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%

Step-by-step explanation:

8% of 5000 = 400

6% of 200 = 120

Answer: Can u post a question?

Step-by-step explanation:

Edit your question with the question options. Then, I'll type the answer in comments.   :)

Answer:

Is there more than one answer? please tell me them i will comment on this when you tell me all of the answers

Step-by-step explanation:

Step-by-step explanation:

y-y1=m(x-x1). m=8/3 and x1=5 and y1=3

y-3=8/3(x-5)

3*(y-3)=8(x-5)

3y-9=8x-40

8x-3y=40-9

8x-3y=31

so is the third

Question:

What is the equation?

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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The area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.

To find the area of a vertical cross section through the center of the base of the cone-shaped paperweight, we need to determine the radius of the base first.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we know the circumference is about 12.56 inches, so we can set up the equation:

12.56 = 2πr

To solve for r, we divide both sides of the equation by 2π:

r = 12.56 / (2π)

Now we can calculate the radius:

r ≈ 12.56 / (2 × 3.14)

r ≈ 12.56 / 6.28

r ≈ 2 inches

The radius of the base is approximately 2 inches.

Since the vertical cross section passes through the center of the base, the shape of the cross section is a circle. The formula for the area of a circle is A = \(πr^2\), where A is the area and r is the radius.

Now we can calculate the area of the cross section:

A = \(πr^2\)

A ≈ 3.14 × \((2^2)\)

A ≈ 3.14 × 4

A ≈ 12.56 square inches

Therefore, the area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.

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Answer:

The question is incomplete. The complete table is:      

Score in percent (X): 80, 75, 70, 90, 95, 100, 75, 60, 75, 95

Time in minute (Y) : 45, 48, 40, 50, 40, 30, 30, 39, 38, 55

The answer is 0.55 %

Step-by-step explanation:

ΣX = 815

ΣY = 425

ΣX x Y = 34565

Σ = 67925

Σ\($Y^2$\) = 18699          

So, correlation coefficient, b

\($b= \frac{n \Sigma XY- \Sigma X \Sigma Y}{\sqrt{n \Sigma X^2-( \Sigma X)^2} \times \sqrt{(n \Sigma Y^2 -(\Sigma Y)^2}}$\)

\($b = \frac{(10 \times 34565)-(815 \times 425)}{\sqrt{(10 \times 67925)-(815)^2} \times \sqrt{(10 \times 10699)-(425)^2}}$\)

\($b= -\frac{725}{9779 \times 2702}$\)

b = -0.0741

Correlation Determination:

\($B^2 = (-0.0741)^2$\)

    = = 0.0055 = 0.55%

Therefore,  0.55 percentage of the variation in y can be explained by x variable.

Answer:

1/6 × 60 = 10. ( 1/6 of an Hour ).

Answer:

10 minutes is 10/60 = 1/6 of an hour, and 24 minutes is 24/60 = 6/15 of an hour, for example.

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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Therefore, sin(0) = -√305/41 when 0 is an angle in quadrant IV.

Trigonometry is a branch of mathematics that deals with the study of relationships between the angles and sides of triangles. It is used to solve problems in many fields, including engineering, physics, astronomy, and architecture. Trigonometry involves the use of functions such as sine, cosine, and tangent to relate the angles and sides of a right triangle. It also includes the study of trigonometric identities, equations, and graphs, as well as applications of trigonometry in real-world situations.

Here,

If 0 is an angle in quadrant IV, then cosine is positive and sine is negative. We can use the Pythagorean identity to find the value of sin(0):

sin²(0) + cos²(0) = 1

sin²(0) = 1 - cos²(0)

sin(0) = -√(1 - cos²(0))

substituting the given value of cos(0):

sin(0) = -√(1 - (4√47/41)²)

sin(0) = -√(1 - (16*47/41))

sin(0) = -√(1 - 736/41)

sin(0) = -√(305/41)

sin(0) = -(√305)/√(41)

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Answer:

umm i think itz 16

Step-by-step explanation:

fycfyuyvt6vb

Answer:

X would be 16 since

x= 8

------

cos(8)

Answer: its actually 900

Step-by-step explanation:

(a) Find an angle between 0 and 2π that is coterminal with -13π/12.

To get coterminal angles, we simply have to add or subtract 2π. In this problem, we are looking for a coterminal angle that is between 0 and 2π, so we will add 2π to -13π/12:

(b) Find an angle between 0° and 360° that is coterminal with 810°.

Similarly to the previous exercise, we will substract 360° to 810° to find a coterminal angle that is between 0 and 360°:

ANSWER

a. 11π/12

b. 90°

Answer

1/2 (2a−6b+8)

=(1/2) (2a + (−6b) + 8)

=(1/2) (2a) + (1/2) (−6b) + ( 1/2) (8)

=a−3b+4

Step By Step Explanation

34.2

The given number is 34.196

The place values of each of the digits of the number are:

3 tens

4 units

1 tenth

9 hundredth

6 thousandth

To round to the nearest tenth, chnage every digit behind 1 to 0 and add 1 to the digit 1 to make 2

Therefore, 34.196 rounded to the nearest tenth is 34.2

Answer:

Any line that has slope -7 and a y-intercept different from -1 is parallel to the line y = -7x - 1

The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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Answer:

The third picture (shown below as an attachment)

Step-by-step explanation:

This problem wants us to detect which one is a function. The definition of a function is that for every x-value you input into the function, you will get ONLY ONE y-value output. A way to check this when it’s graphed is to scan left to right (vice versa) and if there are two lines that meet at the same x-values, then it’s not a function. We can eliminate the circle graph because there are two lines that meet the x-coordinates. Like how when x is -5, the y-coordinate is both 7 and -7. This proves that for the x-coordinate -5, the y-coordinate has two y-coordinates, 7 and -7. Therefore, the circle graph is not a function. Same thing for the absolute value graph (the v-shape graph). There are two lines that overlap on the x-values. The last graph (the straight vertical line) is definitely not a function because all y-values are equal to the x-value 3, which means that multiple y-values share an x-coordinate. The third option (the correct one) is a function because there are no overlapping lines. You might say that when x is 1, there are two y-coordinates, 4 and -4. But the higher line has an open circle at 4 which means that the line doesn’t include 4. So they don’t overlap, which makes it a function. Choose the graph of option three (the attached picture).

I hope you understand.

Hope this helps and answers your question :)

The third graph represents y as a function of x.

A relation is a function if it has only One y-value for each x-value.

The definition of a function is that for every x-value you input into the function, you will get only one y-value output.

A way to check this when it’s graphed is to scan left to right (vice versa) and if there are two lines that meet at the same x-values, then it’s not a function.

We can eliminate the circle graph because there are two lines that meet the x-coordinates.

For second graph there are two lines that overlap on the x-values.

The last graph (the straight vertical line) is definitely not a function because all y-values are equal to the x-value 3, which means that multiple y-values share an x-coordinate.

The third option (the correct one) is a function for each value of y there is one x value.

Hence, the third graph represents y as a function of x.

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