What is the value of the quantity negative one seventh cubed all raised to the power of negative 3?

due in 2 hours plss help

The Maclaurin series representation for the function f(x) = x^2cos(1/3x) can be found by expanding the function as a power series centered at x = 0.

To find the Maclaurin series representation of f(x), we start by calculating the derivatives of f(x) with respect to x. Using the power series expansion of the cosine function, we can express cos(1/3x) as a series. Then, we multiply the resulting series by x^2. By combining the terms and simplifying, we obtain the Maclaurin series representation of f(x).

The Maclaurin series for f(x) = x^2cos(1/3x) is given by:

f(x) = x^2 - (1/9)x^4 + (1/3!)(1/81)x^6 - (1/5!)(1/729)x^8 + ...

This series represents an approximation of the function f(x) around x = 0 and can be used to evaluate f(x) for values of x close to 0. The higher the degree of the polynomial, the more accurate the approximation becomes.

To learn more about Maclaurin series click here :

brainly.com/question/31745715

#SPJ11

We can form the eq. for y,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

The main difference in calculations for the independent samples t-test when the variances are equal and the variances are unequal is the method used to calculate the pooled variance, the t-value, and the degrees of freedom.

1. When variances are equal (also called pooled variance):
- Calculate the pooled variance using the formula:

\(Sp^2 = [(n1-1) × s1^2 + (n2-1) × s2^2] / (n1 + n2 - 2)\)
- Calculate the t-value using the formula:

\(t = (M1 - M2) / sqrt(Sp^2 × (1/n1 + 1/n2))\)
- Determine the degrees of freedom using the formula:

df = n1 + n2 - 2
2. When variances are unequal (also called Welch's t-test):
- Calculate the t-value using the formula:

\(t = (M1 - M2) / sqrt((s1^2 / n1) + (s2^2 / n2))\)
- Determine the degrees of freedom using the formula:

\(df = [(s1^2 / n1 + s2^2 / n2)^2] / [(s1^2 / n1)^2 / (n1 - 1) + (s2^2 / n2)^2 / (n2 - 1)]\)
In summary, the main difference in calculations for the independent samples t-test when the variances are equal and the variances are unequal is the method used to calculate the pooled variance, the t-value, and the degrees of freedom.

for such more question on t-test

https://brainly.com/question/6589776

#SPJ11

Answer:

-4/9

Step-by-step explanation:

Answer:

An area model with 1 shaded part and 4 unshaded parts.

Step-by-step explanation:

15  ÷ 5 area model

     ____2_+__1___=3

5    |     10        5

Answer:

An area model with 5 shaded parts and 20 unshaded parts.

Step-by-step explanation:

alck helped me with this

Answer:

rate is 55 i think

Step-by-step explanation:

take 385 ÷ 7 and you get how far they travel in one hour

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ5

Answer:

7

Step-by-step explanation:

As it is a RIGHT triangle, the formula is a^2+b^2=c^2.

We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.

To find 4 root 2 square, you square them individually then multiply.

4^2=16 times 2 (root 2 squared is 2).

Simplified, that gives 16x2=32,

81-32=49.

The last leg is seven.

(a) The given problem can be written as:
Minimize: \(3X^2 - 22X + 2XY + Y^2 - 16Y + 60\)
(b) Subject to: \(X + 5Y ≤ 8\)

(c) We can find the difference between the new optimal objective function value and our estimated change.

a. To find the minimum solution to the given problem, we need to solve the optimization problem by minimizing the objective function subject to the constraint.

The given problem can be written as:
Minimize: \(3X^2 - 22X + 2XY + Y^2 - 16Y + 60\)
Subject to: \(X + 5Y ≤ 8\)

To find the minimum solution, we need to solve this problem using optimization techniques like linear programming or calculus.

b. If the right-hand side of the constraint is increased from 8 to 9, we need to analyze the change in the objective function.

To do that, we can find the difference between the objective function value at the new solution and the old solution.

c. Re-solving the problem with a new right-hand side of 9 will give us a new optimal objective function value.

To compare the actual change with our estimate, we can find the difference between the new optimal objective function value and our estimated change.

Know more about constraint here:

https://brainly.com/question/30591474

#SPJ11

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

Since the directrix is a horizontal line, then we have a parabola with a vertical axis of symmetry. The standard equation of the parabola is described below:

y - k = [1/(4 · p)] · (x - h)²     (1)

Where:

By analytical geometry we understand that the least distance between the focus and the directrix is twice as the distance between the vertex and the focus. First, we find the coordinates of the vertex:

V(x, y) = 0.5 · F(x, y) + 0.5 · D(x, y)

V(x, y) = 0.5 · (2, 5) + 0.5 · (2, 3)

V(x, y) = (1, 2.5) + (1, 1.5)

V(x, y) = (2, 4)

By Pythagorean theorem we find that the distance between vertex and focus is 1. Then, the equation of the parabola in standard form is:

y - 4 = 0.25 · (x - 2)²

y - 4 = 0.25 · (x² - 4 · x + 4)

y - 4 = 0.25 · x² - x + 1

y = 0.25 · x² - x + 5

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

To learn more on parabolae: https://brainly.com/question/4074088

#SPJ1

Answer:

Step-by-step explanation:

When we have independent events, the probability of both events happening together is simply the product of their individual probabilities, the probability of both events A and B happening together (p(a ∩ b)) is 6/25.

Since A and B are independent events, we can use the following formula to find the probability of their intersection (A ∩ B):

P(A ∩ B) = P(A) * P(B)

You've provided that P(A) = 2/5 and P(B) = 3/5. Now, we can plug these values into the formula:

P(A ∩ B) = (2/5) * (3/5)

To find the product, multiply the numerators and then the denominators:

P(A ∩ B) = (2 * 3) / (5 * 5)

P(A ∩ B) = 6 / 25

So, the probability of the intersection of events A and B is 6/25.

to know more about probability click here:

https://brainly.com/question/13604758

#SPJ11

Answer:

d

Step-by-step explanation:

To completely cover the rectangular wall that measures 290 square feet, Leah will require a minimum of 10 sheets of wallpaper.

To find the least number of sheets of wallpaper Leah will need, we first need to calculate the total area of the rectangular wall. We are given that the area of the wall is 290 ft².

Next, we need to find out how many 2 ft by 15 ft sheets of wallpaper Leah will need to cover this area.

We can start by figuring out the area that one sheet of wallpaper can cover.

Each sheet of wallpaper has an area of 2 ft x 15 ft = 30 ft².

To cover the entire rectangular wall, Leah will need to divide the total area of the wall by the area of each sheet of wallpaper:

290 ft² ÷ 30 ft² = 9.67

Since Leah cannot use a partial sheet of wallpaper, she will need to round up to the nearest whole number. Therefore, Leah will need at least 10 sheets of wallpaper to cover the rectangular wall with an area of 290 ft².

Learn more about whole number here: brainly.com/question/29766862

#SPJ11

Answer:

Angle addition postulate

Step-by-step explanation:

Given :

The price of a sandwich is $5.50 more than the price of a smoothie, which is d dollars

so, the expression :

d + 5.5 represents : The price of of a sandwich

The 3 inside angles of a triangle need to equal 180.

X = 180 - 70 - 20 = 90

x = 90 degrees

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

The amount of money Jamar will make in his 18th year working at this job is = $107,500

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

Learn more about salary outcome here:

https://brainly.com/question/24855677

Answer:

45

Step-by-step explanation:

Since 5 x 3 is 15, 15 x 3 = 45

45sq

Answer:

45 squared units

Step-by-step explanation:

So we know that the width of the rectangle is 3 units, and that the length of the rectangle is 5 times greater than the width. With simply maths we can find that the length we use the equation 3 multipled 5 = 15.

So we now know the length of the triangle is 15 units, so to find the area of a rectangle the equation would be: Length times width

3 units multiped by 15 units = x

x = 45 squared units

Answer:

60x + 15x = 210

Step-by-step explanation:

Thenks and mark me brainliest :))

The angles x in the triangle is as follows:

10. x = 36

11 x = 8

The unknown angles in the triangle can be found as follows:

The sum of angles on a straight line is 180 degrees. Therefore,

10.

3x - 18 + 90 = 180

3x = 180 - 90 + 18

3x = 108

divide both sides by 3

x = 108 / 3

x = 36

11.

The sum of angles in a right triangle is 180 degrees. One of the angles of a right triangle is 90 degrees.

Therefore,

8x + 2 + 3x = 90

11x + 2 = 90

11x = 90 - 2

11x = 88

divide both sides by 11

x = 88 / 11

x = 8

learn more on angles here: https://brainly.com/question/31043553

#SPJ1

In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.

The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.

Learn more about LRATC

https://brainly.com/question/29582382

#SPJ4

Answer:

I believe its D and E

Step-by-step explanation:

Does that help

Answer:

k = -3

Step-by-step explanation:

f(x) = x + 4

g(x) = -3x - 12

Plug this in for g(x) = k*f(x)

[NOTE: the dot *  is a multiplication sign]

-3x -12 = k(x+4)        divide by x-4 on both sides

-3 = k                        we're done!

The standard parametric equations for an ellipse centered at the origin with semi-axes a and b are: the estimated circumference of the ellipse is approximately 27.6 units.

The standard parametric equations for an ellipse centered at the origin with semi-axes a and b are:

x = acos(t)

y = bsin(t)

We can rewrite the given equation of the ellipse as:

x^2/4 + y^2/16 = 1

This suggests that a = 2 and b = 4. Thus, the parametric equations for the ellipse are:

x = 2cos(t)

y = 4sin(t)

To estimate the circumference of the ellipse, we can use Simpson's Rule with n = 8, which gives:

C ≈ ∫[0,2π] sqrt(x'(t)^2 + y'(t)^2) dt ≈ (2π/3)(sqrt(x'(0)^2 + y'(0)^2) + 4sqrt(x'(π/8)^2 + y'(π/8)^2) + 2sqrt(x'(π/4)^2 + y'(π/4)^2) + 4sqrt(x'(3π/8)^2 + y'(3π/8)^2) + 2sqrt(x'(π/2)^2 + y'(π/2)^2) + 4sqrt(x'(5π/8)^2 + y'(5π/8)^2) + 2sqrt(x'(3π/4)^2 + y'(3π/4)^2) + 4*sqrt(x'(7π/8)^2 + y'(7π/8)^2) + sqrt(x'(π)^2 + y'(π)^2))

where x'(t) and y'(t) denote the derivatives of x and y with respect to t, respectively. These are:

x'(t) = -2sin(t)

y'(t) = 4cos(t)

Plugging in these expressions, we get:

C ≈ (2π/3)(sqrt(4^2 + 0^2) + 4sqrt(4^2 + (-2sin(π/8))^2) + 2sqrt(0^2 + (-4sin(π/4))^2) + 4sqrt(4^2 + (-2sin(3π/8))^2) + 2sqrt(0^2 + (-4sin(π/2))^2) + 4sqrt(4^2 + (-2sin(5π/8))^2) + 2sqrt(0^2 + (-4sin(3π/4))^2) + 4*sqrt(4^2 + (-2sin(7π/8))^2) + sqrt(0^2 + (-4sin(π))^2))

Simplifying this expression and evaluating numerically, we get:

C ≈ 27.6

Therefore, the estimated circumference of the ellipse is approximately 27.6 units.

Learn more about standard parametric equations here:

https://brainly.com/question/29275326

#SPJ11

Answer:

y=3x+2 is the solution to this systems equation because when you plug in the values, you get:

5 = 3(1) + 2

5 = 5

Since they equal each other, that means that the second equation is correct.

Answer:

No solution for y = -3x + 7

Solution for y = 3x + 2

Step-by-step explanation:

Substitute 1 for x and 5 for y and see if the equations are equal.

y = -3x + 7

5 = (-3)(1) + 7

5 = -3 + 7

5 = 4  Not a solution.  False statement

y = 3x + 2

5 = 3(1) + 2

5 = 3 + 2

5 = 5  This is a solution. True statement.

Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

To know more about variable visit :

https://brainly.com/question/29583350

#SPJ11