what is the sum of the infinite series: 1-4+16-64+. . .

Answer: I am going to assume that 1/4 is 1 over 4 ( a fraction ) and that it is the same for 1/64

A) 0.00390625

B)     0.015625^4  <------( Here is the equation. when i put it in a calculator it was too long. here is the answer that gave me: 5.96046448 e-8 )

Answer:

Leah has 1/4 of a pound of chocolate. She wants to share it equally among herself and her two friends. How many pounds of chocolate does each friend get?

Step-by-step explanation:

Hope that helps!!!

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Answer:

A recipe for cake requires 1/4 cups of flour. You have 3 cups of flour. How many cakes can you make

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Answer:

=7

Step-by-step explanation:

The probability that a flight takes more than 140 minutes is approximately 0.333. (Option d: P(x > 140) = 0.333)

To find the probability that a flight takes more than 140 minutes, we need to calculate the proportion of the total distribution that lies beyond 140 minutes.

Given that the time to fly is uniformly distributed between 120 and 150 minutes, we can determine the length of the entire distribution as:

Length of distribution = maximum time - minimum time = 150 - 120 = 30 minutes.

The proportion of the distribution that lies beyond 140 minutes can be calculated as:

Proportion = (Length of distribution - Length up to 140 minutes) / Length of distribution

          = (30 - (140 - 120)) / 30

          = (30 - 20) / 30

          = 10 / 30

          = 1/3

          ≈ 0.333

Therefore, the probability that a flight takes more than 140 minutes is approximately 0.333.

Hence, the correct option is:

d) P(x > 140) = 0.333

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Complete Question:

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.

What is the probability that a flight takes time more than 140 minutes? *

a-P(x> 140)=0.14

b-P(x> 140)=1.4

c-P(x> 140)=0

d-P(x> 140) = 0.333

Answer:

$157.92.

Step-by-step explanation:

a) To calculate how long it takes Penny to pay off the loan, we can use the formula:

n = log(P/A) / log(1 + r/12),

where n is the number of months, P is the initial loan amount ($4500), A is the monthly payment ($160), and r is the annual interest rate (3%).

n = log(4500/160) / log(1 + 0.03/12)

n = log(28.125) / log(1.0025)

n = 3.7062

Rounding up, it takes Penny 4 months to pay off the loan.

b) To calculate the amount of Penny's final payment, we can use the formula:

P = A * (1 - (1 + r/12)^-n),

where P is the remaining balance, A is the monthly payment ($160), n is the number of months (4), and r is the annual interest rate (3%).

P = 160 * (1 - (1 + 0.03/12)^-4)

P = 160 * (1 - (1.0025)^-4)

P = $157.92

Therefore, it takes Penny 4 months to pay off the loan and her final payment is $157.92.

Answer:

The price after tax would be $4.87

The total tax is $0.18

Step-by-step explanation:

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Answer: $4.88

Step-by-step explanation:

The subset of the data set with x2, x3, and x4 would include 6 missing values.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

1. Subset the data set to include only x2, x3, and x4.

2. Count the number of missing values in each variable.

3. Add the number of missing values for each variable together.

4. The total number of missing values in these three variables is 6.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

Subset the data set to include only x2, x3, and x4.

The complete question is :

Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?

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Answer:

y = -3/5x + c

Step-by-step explanation:

Re-arrange the initial equation so that the it becomes y =

To do this, you +3y on both sides to get 5x = 3y + 12

And then -12 on both sides to get 5x - 12 = 3y

Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4

The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5

Therefore your perpendicular line should be y = -3/5x + c

Because you didn't specify on what point they intersect, i can't find c for you.

According to Newton's law of cooling (heating), the store manager's advertising campaign for a particular item resulted in $1,441 in sales on day 11. The store to generate at least $5,976 in sales for a single day.

Newton's law of cooling (heating) is typically used to describe the rate at which the temperature of an object changes over time. In this scenario, we can apply the same principle to the increase in sales as a result of the advertising campaign.

To find the number of days required to reach the target sales of $5,976, we can set up a proportion based on the increase in sales. On day 11, the sales were $1,441, which is the initial value. Let's call the number of days needed to reach the target sales "x." We know that the potential daily sales are $7,299.

Using the proportion, we can set up the equation:

(1,441 / 7,299) = (11 / x)

Solving for x, we can cross-multiply and find that x ≈ 55.59. Since the number of days must be a whole number, we can round up to 56 days. Therefore, it will take approximately 56 days of campaigning for the store to generate at least $5,976 in sales for a single day.

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The area of the figure composed of the square and four semicircles is approximately 242.4 square units.

A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by drawing a diameter of a circle and then drawing the arc that connects the two endpoints of the diameter. The diameter divides the circle into two equal parts, each of which is a semicircle.

A semicircle has several important properties, including:

It has one straight side, which is the diameter of the circle.

The other side is curved, and it is a half-circle.

The radius of the semicircle is equal to half the diameter of the circle.

The circumference of a semicircle is half the circumference of the circle.

The area of a semicircle is half the area of the circle.

Semicircles are used in many applications of geometry and trigonometry, including in the study of angles, arcs, and circles. They are also used in architecture and engineering to design buildings, bridges, and other structures that have semicircular features.

In addition to being a geometric shape, a semicircle can also refer to a half-circle that is used as a decorative element or design motif. Semicircles are often used in art, architecture, and graphic design to create visually interesting patterns and compositions.

To find the area of the figure composed of a square and four semicircles, we need to first find the area of the square and the area of the four semicircles. Then, we can subtract the area of the four semicircles from the area of the square to get the total area of the figure.

The area of the square is simply the side length squared, so in this case it is:

Area of square = (22)^2 = 484 square units

The diameter of each semicircle is equal to the side length of the square, so the radius is half of that or 11 units. Therefore, the area of each semicircle is:

Area of semicircle = (1/2) * π * r^2 = (1/2) * π * 11^2 = 60.4 square units

Since there are four semicircles, the total area of the four semicircles is:

Total area of semicircles = 4 * Area of semicircle = 4 * 60.4 = 241.6 square units

To get the area of the entire figure, we need to subtract the area of the four semicircles from the area of the square:

Area of figure = Area of square - Total area of semicircles

Area of figure = 484 - 241.6 = 242.4 square units

Rounding this to the nearest tenth gives:

Area of figure = 242.4 (rounded to the nearest tenth)

Therefore, the area of the figure composed of the square and four semicircles is approximately 242.4 square units.

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The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.

The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.

The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:

Level of Significance = p (type I error) =

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Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.

The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.

Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)

For the angular velocity at time period (t = 3s), we have:

ω = 2π/T

ω = 2π/3

Mathematically, the standard equation of a cosine function is given by:

y = Acos(ω)t

Substituting the given parameters into the formula, we have;

d = -9cos(2π/3)t.

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Answer:

B.    d =    -9cos ( 2 pi/3 t)

Step-by-step explanation:

Have a good day

I'm pretty sure the answer is 72 :))

The measure of the angle B from the isosceles triangle is equal to 28°. (Correct choice: D)

In this problem we have the case of an isosceles triangle, that is, a triangle with two sides of equal length and two angles of same measure. By properties from isosceles triangles, we know that the measures of sides AC and BC are the same and angles B and C are the same.

Then, if we know that AC = AB = 10 and m ∠C = 28°, then the measure of the angle B is equal to 28°.

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The homogeneous and particular solutions to obtain the general solution to the differential equation.

The solution to the differential equation d²y/dt² + y = cos(t) with initial conditions y(0) = 0 and y'(0) = 0 can be found using the method of Variation of Parameters. The solution is:

y(t) = (1/2)*cos(t) - (1/2)tsin(t) + (1/2)*∫[0,t] sin(τ)*cos(τ)dτ

where the integral represents the convolution of the functions cos(t) and sin(t) with the Green's function of the differential equation, which is sin(t). The first two terms are the homogeneous solution of the differential equation, while the third term is the particular solution obtained using the method of Variation of Parameters.

To obtain this solution, we first find the homogeneous solution by assuming y(t) = Acos(t) + Bsin(t) and substituting it into the differential equation. We then solve for the constants A and B using the initial conditions. Next, we use the method of Variation of Parameters to find the particular solution, which involves finding two functions u(t) and v(t) and using them to construct the particular solution. Finally, we add the homogeneous and particular solutions to obtain the general solution to the differential equation.

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The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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Answer:

10 yrs old and 35 yrs old

Step-by-step explanation:

I figured it out by trial and error but here's the thinking process.

10 + 35= 45

Son becomes dad's age so 35-10=25, so plus 25 year to each age.

10+25=35

35+25= 60

35+60=95

I hope that makes enough sense!

Answer:

The probability is 1/3

Step-by-step explanation:

At any point in time, the probability that a coin lands on head = 1/2 given that the coin is fair

Rolling a number less than 5;

The numbers are 1,2,3 and 4

The probability of rolling a number less than 5 is 4/6

So we proceed to

multiply both probabilities to get the answer to the question,

we have this as;

4/6 * 1/2 = 2/6 = 1/3

Step-by-step explanation:

-7-(-7)

=-7+7

=0

1-(-3)

=1+3

=4

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

Answer:

5 degrees per hour

Step-by-step explanation:

-5+n=10

+5. +5

n=15

15/3=5

Answer:

Local Maximum Approx.: (1,8.08)

Local Minima Approx.: (-2,-7.67) and (3,2.75)

Step-by-step explanation:

Local maximums and minima there the highest and lowest points, respectively, on a graph in a specific region. (This is different from absolute maximum and minimum, which are the highest and lowest points overall.)

These are pretty clear to see on a curve, as they are the "turns" or the points where the curve switches direction from up to down or down to up.

On your graph, we have two local minima and one local maximum. The local minima are at x= -2 and x=3. The local maximum is at x=8. Because of the way the graph is, we have to approximate the y-values of each point.

The answer option which best describes this is the third option, so that is your answer.

Answer:

43.98 or about 44

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

We have a right triangle here with the hypotenuse = 2 and the legs are 1 and √3.

If tan A > 0 then the opposite side to < A  in the triangle is greater than the adjacent so the leg opposite angle A is √3 and the adjacent side = 1.

So cos A = adj/hyp = 1/2.

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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