Take the sample mean of this data series: 15, 26, 25, 23, 26, 28, 20, 20, 31, 45, 32, 41, 54, 23, 45, 24, 90, 19, 16, 75, 29 And the population mean of this data series: 15, 26, 25, 23, 26, 28, 20, 20, 31, 45, 32, 41, 54, 23, 45, 24, 90, 19, 100, 75, 29 Calculate the difference between the two quantities (round to two decimal places)

Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

Step-by-step explanation:

Answer:

The independent variable

Step-by-step explanation:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

71.99

Step-by-step explanation:

89.99 x .20=17.998

89.99-17.998=71.992

Round

She paid $71.99

Answer:

The regular price is $1,889.79

Step-by-step explanation:

20% to 0.20

$89.99 divided by 0.20 equals 1,799.80

$1,799.80 plus $89.99 equals $1,889.79

Answer:

n / -5 = 2

n = - 10

Answer:

f(x-2)

Step-by-step explanation:

This is because f(x)-2 or f(x)+2 is moving it up or down and f(x+2) seems like it would be the right answer but it is reversed when it's in parenthesis so it would actually be moving 2 to the left.

Answer:

its f (x-2)

Step-by-step explanation:

i got this on my quiz and i got it right! i  hoped this helped!!!

Answer:

x=8

\(2x \times 10 \div 2\\ = 2(8) \times 10 \div 2\\ = 16 \times 10 \div 2 \\ = 160 \div 2 \\ = 80\)

Answer:

x = 8 cm

Step-by-step explanation:

Area = 1/2bh

80 = 1/2(10)(2x)

10x = 80

x = 8

Answer:$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

then we multiply

500 × 0.033 × 4 = 66 = $66.00

The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

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Answer:12x - 24 = 12 - 3

Step-by-step explanation:If you use the distrubutive property to solve this then 4 * 3x = 12x, 4 * 6 = 24, and then do the other side 3 * 4x = 12x, 3 * 3 = 9. There you have your answer. Unless it was suppose to be -12x = 3.

Answer:

No solution

Step-by-step explanation:

Use Distributive property.

4 · 3x = 12x

4 · (-6) = -24

Your equation should look like this now:

12x - 24 = 3(4x - 3)

Use Distributive property on the right side now.

3 · 4x = 12x

3 · (-3) = -9

Your equation now:

12x - 24 = 12x - 9

Add 24 to both sides.

Your equation:

12x = 12x + 15

Subtract 12x from both sides.

15 is left

So there is no solution.

Hope I helped :)

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Answer:

x = -6

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer: A linear equation in one variable is an equation that can be written in the form

aX + b = )

Where a ≠ 0

For example

2x + 6 = 0

A system of linear equations is just a set of two or more linear equations. In two variables (x and y) , the graph of a system of two equations is a pair of lines in the plane.

Step-by-step explanation:

Answer: d

Step-by-step explanation:

The relative minimum of h(x) occurs at x = 2. Integrals can be used to solve a wide range of problems in mathematics and physics, such as finding the area under a curve

An integral is a mathematical concept that involves the concept of integration, which is a way to find the area under a curve or the volume of a solid of revolution. Integrals can be classified into two types: indefinite integrals and definite integrals.

To find the relative minimum of the function h(x), we need to find the value of x that minimizes the value of h(x).

First, let's find the derivative of h(x). We can do this by applying the chain rule to the function inside the integral:

\(h'(x) = (-4 * (t - 2)^2 + 8)' = (-4 * (t - 2)^2 + 8)' = -8 * (t - 2)\)

Next, we need to find the points where h'(x) = 0 or is undefined. Setting h'(x) = 0 and solving for t, we find that t = 2. Substituting this value back into the original expression for h(x), we get:

\(h(x) = -4 * (2 - 2)^2 + 8 = 8\)

Since h'(x) is undefined at t = 2, we need to check whether the function is increasing or decreasing at that point. To do this, we can take the second derivative of h(x):

\(h''(x) = (-8 * (t - 2))' = -8\)

Since the second derivative is negative at t = 2, this means that the function is decreasing at that point.

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(a) The x-component is  0 m/s.  (b) The y-component of the velocity at t = 3.12 s is approximately -17.9712 m/s. (c) The magnitude of the velocity at t = 3.12 s is approximately 17.9712 m/s. (d) The angle of the velocity relative to the positive x-axis at t = 3.12 s is in the range (-180°, -90°).

To find the x-component, y-component, magnitude, and angle of the electron's velocity at t = 3.12 seconds, we need to differentiate the position vector r with respect to time to obtain the velocity vector v.

\(r = 7.75i - 2.88t^2j + 8.71k\)

Differentiating each component of r with respect to time:

\(dr/dt = (d/dt)(7.75i) - (d/dt)(2.88t^2j) + (d/dt)(8.71k)\)

dr/dt = 0i - 5.76tj + 0k

Now we have the velocity vector v:

v = -5.76tj

(a) To find the x-component of the velocity (v_x), we can see that it is 0.

v_x = 0 m/s

(b) To find the y-component of the velocity (v_y), we substitute t = 3.12 s into the expression for v:

v_y = -5.76 * (3.12) m/s

v_y ≈ -17.9712 m/s

Therefore, the y-component of the velocity at t = 3.12 s is approximately -17.9712 m/s.

(c) To find the magnitude of the velocity (|v|), we use the equation:

|v| = \(sqrt(v_x^2 + v_y^2)\)

|v| = sqrt\((0^2 + (-17.9712)^2) m/s\)

|v| ≈ 17.9712 m/s

Therefore, the magnitude of the velocity at t = 3.12 s is approximately 17.9712 m/s.

(d) To find the angle of the velocity relative to the positive x-axis, we can use the arctan function:

angle = arctan(v_y / v_x)

Since v_x is 0, we cannot directly calculate the angle using the arctan function. However, we can infer the angle based on the sign of v_y.

In this case, since v_y is negative (-17.9712 m/s), the angle will be in the third quadrant (between -180° and -90°).

Therefore, the angle of the velocity relative to the positive x-axis at t = 3.12 s is in the range (-180°, -90°).

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Answer:

3.71/15= 0.24733

1 lbs of potatoes= 0.25 cents

If 14 inches of wire cost 42 cents, with 21 cents can be bought  7 inch of wire

Information about the problem:

Calculating how much 1 inch cost, we have:

1 inch cost= Inches bought cost  / Inches bought

1 inch cost= 42 cents / 14 inches

1 inch cost= 3 cent/inch

Calculating how much can be bought with 21 cents:

Inches of wire= Amount / 1 inch cost

Inches of wire= 21 cent / 3 cent/inch

Inches of wire= 7 inch

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

34

Here's Why:

8w - 2v = ?

8(5) - 2(3) = ?

40 - 6 = 34

Hope this helps!

The total surface area of the given cuboid is 94.4 square centimeter.

Given that, the dimensions of box are length=4.4 cm, breadth=2 cm and Hight=6 cm.

We know that, the total surface area of cuboid = 2(lb+bh+lh)

= 2(4.4×2+2×6+4.4×6)

= 2×47.2

= 94.4 square centimeter

Therefore, the total surface area of the given cuboid is 94.4 square centimeter.

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Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = \(\frac{4}{3}\)

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   \(\frac{4}{3}\)  = \(\frac{-3 - x}{2 - 5}\)

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

The three consecutive integers are 10, 11, and 12.

To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:

1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.

2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.

3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.

4. Simplify the equation:
  x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65

5. Combine like terms:
  3x^2 + 6x + 5 = 3x^2 + 65

6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
  6x + 5 = 65

7. Subtract 5 from both sides:
  6x = 60

8. Divide by 6:
  x = 10

So, the three consecutive integers are 10, 11, and 12.

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The integral of (r+1)^3 dr is ((r+1)^4)/4 + C.

The integral of (r+1)^3 dr can be found by using the power rule for integrals. The power rule states that the integral of x^n dx is (x^(n+1))/(n+1) + C, where C is the constant of integration.

So, for the given integral, we can apply the power rule as follows:

Integral of (r+1)^3 dr = ((r+1)^(3+1))/(3+1) + C

= ((r+1)^4)/4 + C

Now, to check our answer by differentiation, we can use the power rule for derivatives. The power rule for derivatives states that the derivative of x^n is n*x^(n-1).

So, the derivative of our answer is:

d/dr [((r+1)^4)/4 + C] = (4/4)*(r+1)^(4-1) + 0

= (r+1)^3

This matches the original integrand, so our answer is correct.

Therefore, the integral of (r+1)^3 dr is ((r+1)^4)/4 + C.

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Answer:dddddddddddd

yy

Step-by-step explanation:

bb

The function Y = -3 is a linear function.This means that the graph of the function will be a straight line.

This is because the equation has only one variable (Y) and the change in Y is directly proportional to the change in the independent variable, in this case X.

To prove that the function is linear, we can use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0, as the line is horizontal, and the y-intercept is -3. Thus, we can calculate the equation as follows:

y = 0x + (-3)

y = -3

Therefore, we can conclude that the function Y = -3 is a linear function.

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Answer:

6 ÷ 3 = -6/-3

(-3)/6 = 3 ÷ (-6) = -(3/6)

6/(-3) = -(6/3)

leftover: -3/-6

The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.

An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.

In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.

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Answer:

seventy eight is 55% of 141.818182

which is 78=(0.55)w