(a) State whether each of the infinite series 1 and 1 converges or diverges. 2n1 121 122

Answer:18

Step-by-step explanation:

for one loop,

radius=1

diameter=2

circumference=6

multiply it all by 3 because there are 3 loops, 3x6=18

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

You add 4 1/3 + 3 2/3 and you'll have 8. Therefore, her shake has eight cups in total.

Answer:

24t^2 + 11

Step-by-step explanation:

There is a lot left out of this question. If you are allowed rational numbers, a common factor could be 24.

24(t^2 + 11/24) is one possibility.

I think what you mean is there an integer that is a common factor. There is not.

So the answer is 24t^2 + 11

There is one more thing that needs to be clarified. Can you give t a value? If you can, then t = 11

the common factor would be

11(24 * 11 + 1)

I doubt very much that this is what is meant, but the question really should make it clear.

Answer:

1(24f²+11) is your answer

Step-by-step explanation:

24f2+11

taking common

1(24f²+11)

Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

The minimum percentage of commuters with commute times between 3 minutes and 51.6 minutes, we can use Chebyshev's Inequality with k = (51.6 - 27.3) / 8.1. The resulting percentage is at least (1 - 1/k^2).

Chebyshev's Inequality states that for any distribution (regardless of its shape), at least (1 - 1/k^2) of the data falls within k standard deviations of the mean, where k is any positive constant greater than 1.

For the first question, the range between $2.94 and $3.18 corresponds to 1 standard deviation from the mean price of gasoline stations. Therefore, using Chebyshev's Inequality, at least (1 - 1/1^2) = 0% of the gasoline stations would fall within this range.

For the second question, within 1.5 standard deviations of the mean, we can calculate the minimum percentage by using k = 1.5 in Chebyshev's Inequality. This gives us at least (1 - 1/1.5^2) = 55.56% of the commuters in Boston having a commute time within 1.5 standard deviations of the mean.

To determine the commute times within 1.5 standard deviations of the mean, we can calculate the range by multiplying the standard deviation (8.1 minutes) by 1.5 and subtracting this value from and adding it to the mean. So, the range would be (27.3 - 1.5 * 8.1) to (27.3 + 1.5 * 8.1), which is approximately 15.15 minutes to 39.45 minutes.

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The range of scores between the upper and lower quartiles of a distribution is called the interquartile range. The median is the score that divides a distribution into two equal halves, while quartiles divide a distribution into quarters.

The range of scores between the upper and lower quartiles of a distribution is called the interquartile range. The interquartile range (IQR) is the difference between the 75th percentile (upper quartile) and the 25th percentile (lower quartile). It is used to measure the spread of the middle 50% of the data, providing a sense of the distribution's variability. Percentiles are a way of dividing a distribution into hundredths, often used to describe a student's performance relative to their peers.
Quartiles are three values ​​that divide the statistical data into four parts, each containing the same observation. A quarter is a type of quantity. First quartile: Also called Q1 or lower quartile. Second quartile: Also called Q2 or median. Third quarter: Also called Q3 or upper quarter.

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Answer:

114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Step-by-step explanation:

for the first one the area of a trapezoid is \(\frac{1}{2} h(b_{1} +b_{2})\)

so

first find the height of the triangle

8^2 + h^2 = 10^2

64 + h^2 = 100

h^2 = 36

h = 6

so

the height is 6

now plug it in

\(\frac{1}{2} * 6 (25 + 13)\)

\(\frac{1}{2} * 6(38)\)

114 cm is the first answer

for the second one you can add all of them together and set them equal to 27

x - 1 + 2x - 4 + 3x - 4 = 27

6x - 9 = 27

6x = 36

x = 6

that is the second answer

it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

The third graph is the graph of the quadratic function f(x) = 2(x - 4)² + 1.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The function for this problem is given as follows:

f(x) = 2(x - 4)² + 1.

Hence the coordinates of the vertex are given as follows:

x = 4, y = 1.

The vertex is the turning point of the graph of the quadratic function, hence the third graph is the correct option for this problem.

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The graph that represents the given quadratic equation is: Graph C which is the third graph

The general form of the quadratic equation is:

ax² + bx + c = 0

We are given the equation as:

f(x) = 2(x - 4)² + 1

Thus, at x = 0, f(x) = 33

at x = 1, f(x) = 19

Thus, only graphs C or D are correct

The quadratic function of vertex (h,k) is given by the expression:

y = a(x - h)² + k

where:

h is the x-coordinate of the vertex.

k is the y-coordinate of the vertex.

a is the leading coefficient.

Thus, graph C is correct because the coordinate of the vertex is (4, 1)

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The statement "To determine chilling hours for an area, count the cumulative number of hours between November 1st and February 15th that the air temperature is between 32 and 45 degrees F" is true.

In horticulture, chilling hours are the number of hours in which the air temperature is between 32 and 45 degrees Fahrenheit and are commonly used in fruit crop production to determine the required winter rest period. It is calculated between November 1st and February 15th since these months are considered the winter season and are known for their cool temperatures.

Chilling hours are an essential factor in determining the growth, development, and yield of fruit trees, which require a particular amount of chilling hours to flower and bear fruit.

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Answer:

x=31

Step-by-step explanation:

Hello there!

the shown angles are supplementary meaning that the sum of the two is 180

so we create an equation

180=3x+25+2x

step 1 combine like terms

3x+2x

now we have

180=25+5x

step 2 subtract 25 from each side

180-25=155

now we have

155=5x

step 3 divide each side by 5

155/5=31

5x/5=x

we're left with x=31

~TheMathWiz

The probability that a shirt picked at random is red and the size is medium is 48 / 165.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a shirt picked at random is red and the size is medium = number of red shirts that a medium size / total number of shirts

48 / 165.

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Answer:

The probability that a shirt picked at random is red and the size is medium is 48 / 165.

Step-by-step explanation:

because it is

Answer: 2nd circle.

Step-by-step explanation: I'm not completely sure but I'm highly familiar that's the right format to represent the solution of cube of 512. Because you input 512 to x, it shows the 3rd power of 512.

Answer:

poison

Step by Step Explanation

When you reflect a shape, you flip over an axis or line, the answer is flip.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we know the reflection will change the orientation not the shape or size after reflection we will get mirror image of the body.

When you reflect a shape, you flip over an axis or line.

Thus, when you reflect a shape, you flip over an axis or line the answer is flip.

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Answer:

x=28 :)

Step-by-step explanation:

come in im bor ed and lonely im a girl by the way

yyt zijy shd

The answer is 59049.

Kuaaahahahahahahahah!

Answer:

L’M’ = 4.5 units

Step-by-step explanation:

We start by getting the dilated coordinates

we specifically work with the points LM

The dilated points can be obtained by multiplying the individual coordinates by 1.5

for L (1.5 * -4 and 1.5 * -3) = L’ (-6, -4.5)

M (-4,0) and ; (1.5 * -4 and 0 * 1.5) = M’ (-6,0)

Now, we can use the distance formula

D = √(y2-y1)^2 + (x2-x1)^2

D = √(0+ 4.5)^2 + (-6+6)^2

D = √(4.5)^2

D = 4.5 units

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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Answer:

q122a

Step-by-step explanation:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Answer:

Below,...!

Step-by-step explanation:

1 = Variable

2 = Exponent

3/4 = Coefficient

1. True

2. False

3. True

4. FaLSE

On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

(Lateral surface area of cube = 4edge2

lateral surface area of cuboid =2h (l + b)

\(2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\\)

lateral surface area of the cube is larger by (400

- 360

= 40)cm2

Total surface area of cube = 6edge2

= 600

lateral surface area of cuboid

\(=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610\)

So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

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Answer:

c

Step-by-step explanation:

5x-10=-10

5x=-10+10

5x=0

x=0/5

x=0

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer:

30

Step-by-step explanation:

5 * 6

Answer:

30

Step-by-step explanation:

The answer is 30 because 6*5 is 30 and 5*6 equals 30.

the probability that the hand contains at least 3 cards of every suit is 0.4214

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

the probability that the hand contains at least 3 cards of every suit is 0.4214

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Answer:

x = 23

y = 105

Step-by-step explanation:

It's given that lines 'k' and 'm' are the parallel lines and 'l' is a transversal line.

Therefore, y° + 75° = 180° [Sum of consecutive exterior angles = 180°]

y = 180 - 75

y = 105°

And y° + (4x - 17)° = 180° [Linear pair of angles are supplementary]

105 + (4x - 17) = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

It is false that estimation should be used when a primary source gives number of exact value. The exact value should be used when available.

It is false that you should use estimation when you can find a primary source that gives the exact value. It is always best to use the exact value provided by the primary source when it is available. It is false that estimation should be used when a primary source gives the exact value. The exact value should be used when available.Estimation should be used only when the exact value is not known.

It is false that estimation should be used when a primary source gives number of exact value. The exact value should be used when available.

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