Due in 11 hours, 42 minutes. Due Tue 05/17/2022 11 Find the interval on which f(x) = 2? + 2x – 1 is increasing and the interval upon which it is decreasing. The function is increasing on the interval: Preview And it is decreasing on the interval: Preview Get Help: Video eBook Points possible: 1 This is attempt 1 of 3 Submit

The volume of the cylinder is 127.16π m².

Volume is the space occupied by a solid shape.

To calculate the volume of the shape, we use the formula below

Formula:

Where:

From the question,

Substitute these values into equation 1

Hence, the right option is A. 127.16π m².

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The volume of the cylinder is 399.28 cubic feet

From the question, we have the following parameters that can be used in our computation:

Radius = 3.4 cm

Height = 11 cm

Using the above as a guide, we have the following:

r = 3.4 cm

h = 11 cm

The volume of the cylinder is calculated as

V = πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 3.14 * 3.4² * 11

Evaluate

V = 399.28

Hence, the volume is 399.28 cubic feet

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Using the open cover definition of compactness, we can show that (1) open ball B(x, 1), (2) set A in R², and (3) an infinite set in a discrete metric space are not compact by exhibiting open covers with no finite sub-covers.


(1) For the open ball B(x, 1) in Rⁿ, consider the open cover consisting of balls B(x, 1-1/n) for n = 2, 3, 4, ... Since each ball excludes a point on the boundary of B(x, 1), no finite sub-collection can cover B(x, 1).

(2) For the set A in R², consider the open cover consisting of rectangles {(-1/n, 1/n) x (0, 1)} for n = 2, 3, 4, ... No finite sub-collection of these rectangles can cover A, as there will always be a gap along the x₁-axis.

(3) In the metric space (M, d) with a discrete metric d, let S be an infinite subset. The open cover consists of balls B(x, 1/2) centered at each point x in S. Since each ball contains only one point, there cannot be a finite sub-cover for the infinite set S.

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The tennis player hits the ball with an initial speed of 58 feet per second at an angle of 19°, from a height of 1.9 feet. The ball lands at a distance of 65.369 feet from the initial point.

We need to determine how far away the ball land in feet. The horizontal and vertical motions of the ball are independent of each other. The horizontal motion is unaffected by the vertical motion of the ball. It means the ball will move with a constant horizontal velocity of Vx = Vo × cos θ

Where

Vx is the horizontal velocity

Vo is the initial velocity

θ is the angle of the velocity vector with respect to the horizontal axis

Thus, the horizontal component of the initial velocity is given by:

Vx= 58 ft/s cos (19°)

Vx = 55.4 ft/s

Similarly, the vertical component of the initial velocity is given by:

Vy = Vo × sin θ

Vy = 58 ft/s sin (19°)

Vy = 18.8 ft/s

The time of flight (t) can be found using the vertical motion of the ball. Using vertical motion, the distance traveled in the horizontal direction can be found using

d = Vx × t.

The time of flight can be calculated as

t = 2Vy / g

where g is the acceleration due to gravity,g = 32.2 ft/s

2t = 2(18.8) / 32.2

t = 1.16 s

Therefore, the distance traveled in the horizontal direction can be calculated as:

d = Vx × td

  = 55.4 × 1.16d

  = 64.1 feet

The ball lands at a distance of 64.1 feet from the initial point. Hence, the correct option is 65.369 feet (rounded off to three decimal places).

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The question asks about the range of a tennis ball hit under specific conditions. Using the formula for the range of a projectile, and the given values for speed, angle, and gravity, it is found that the tennis ball will land approximately 63.495 feet away.

The subject of the question is Physics, specifically kinematics, and the motion of projectiles. This is a problem of projectile motion. We will determine where the tennis ball lands in terms of horizontal distance also known as range.

To calculate the range, we use the formula: Range = (v² sin (2θ)) / g, where v is the initial velocity of the ball, θ is the angle at which it's thrown, and g is the acceleration due to gravity. Here, v= 58 feet per second, θ= 19°, and g= 32.2 feet/second² respectively.

Through calculations, we will find that the tennis ball lands approximately 63.495 feet away from the starting point.

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overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

In two's complement representation, numbers are represented using a fixed number of bits. The most significant bit (MSB) is reserved to indicate the sign of the number, where 0 represents a positive number and 1 represents a negative number.

Overflow occurs in two's complement arithmetic when the result of an operation exceeds the range that can be represented with the available number of bits.

When overflow occurs, the result is truncated or wrapped around to fit within the bit representation. This wrapping around effectively causes the MSB to flip its value, changing the sign of the number. As a result, the number that was intended to be positive becomes negative in the two's complement representation.

For example, consider an 8-bit two's complement representation. The range for a signed 8-bit number is -128 to +127. If we add 1 to the maximum positive value of 127, overflow occurs because the result exceeds the range. The binary representation of 127 is 01111111, and adding 1 results in 10000000. Since the MSB changed from 0 to 1, the number is interpreted as -128 in two's complement representation.

In summary, overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

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the average number of calls that arrived between 8:00 am and 8:10 am during the working days of any month is Option(c) a parameter.

A parameter is a special type of mathematical variable. An equation that uses parametric variables that can have multiple values is referred to as a parametric equation. Parameter values are kept constant when using the function. Statisticians use parameters to estimate population characteristics numerically.

Parameters can be used in a variety of ways in real-life scenarios, including in statistics. Parameters are estimations of populations in statistics. The mean and standard deviation are two of the most common statistical parameters. In various statistical tests, these estimates are used to calculate the test statistic.

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The first term of an arithmetic progression is 5 and the 10th term is 95. The sum of the first 10 terms is 455.

The sum of the first 10 terms of an arithmetic progression (A.P.) can be found using the formula:

S_n = n/2 * (2a + (n-1)d)

where a is the first term, d is the common difference, and n is the number of terms.

Given that the first term is 5 and the 10th term is 95, we can find the common difference (d) using the formula:

a_n = a + (n-1)d

Plugging in n = 10 and a = 5, we get:

95 = 5 + (10 - 1)d

Solving for d, we get:

d = (95 - 5) / (10 - 1) = 9

Now that we know the common difference, we can find the sum of the first 10 terms:

S_10 = 10/2 * (2 * 5 + (10 - 1) * 9) = 10/2 * (10 + 81) = 10/2 * 91 = 455

So, the sum of the first 10 terms is 455.

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Answer:

The side length can be used to draw (0) unique triangles because the two side lengths (8 and 12) add together to a sum that is (less than) the third side length

Step-by-step explanation:

The balance of the equity section of the balance sheet of the Centra Force Corporation would show $53,000.

To calculate the balance of the equity section of the balance sheet of the Centra Force Corporation, we need to understand what the equity section is. The equity section of a balance sheet represents the residual interests of shareholders in the assets of a corporation after deducting liabilities. The balance of the equity section of the balance sheet of the Centra Force Corporation can be calculated by the following steps:

Firstly, Calculate the balance of retained earnings

Retained earnings refer to the portion of a corporation's profits that have been reinvested in the business instead of being paid out as dividends. Retained earnings are calculated as follows:

Retained Earnings = Net Income - Dividends

In the first year, the CentraForce Corporation's net income was $5,000, and the dividends paid to shareholders were $2,000. Therefore,

Retained Earnings = $5,000 - $2,000= $3,000

Then, Calculate the balance of common stock

Common stock represents the money that investors have invested in the corporation in exchange for ownership. In this case, the investors invested $50,000. Therefore, the balance of common stock is $50,000.

Calculate the balance of the equity section

The balance of the equity section of the balance sheet is the sum of the balance of common stock and the balance of retained earnings. Therefore, the balance of the equity section of the balance sheet of the Centra Force Corporation is:

Balance of Equity Section

= Balance of Common Stock + Balance of Retained Earnings

= $50,000 + $3,000

= $53,000

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The slope of the line is zero beacuse it is a straight line.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that the line that passes through the points (-1, -2) and (3, -2)

To find the slope of the line that passes through points (-1, -2) and (3, -2)

Therefore, the slope of the line is;

m = Δy/Δx

m = (-2 + 2)/(3 - 1)

m = 0

Hence, the slope of the line is zero beacuse it is a straight line.

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There are 45 yards of cable that will be required.

Since we have given that

Height of cable = 15 yards - 3 yards = 12 yards

Distance from pole = 9 yards

cable is the hypotenuse of the right-angled triangle.

So, it becomes,

\(c^{2} = b^{2}+p^{2}\)

\(c^{2} = 12^{2}+9^{2}\)

\(c^{2} = 144+81\)

\(c^{2} = 225\)

\(c = \sqrt{225}\)

c=15 yards

Since the number of cables supported = 3

So, the number of yards of cable that will be required would be

= 3  x 15 = 45

Hence, there are 45 yards of cable will be required.

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she can add each number one by one , and whenever she needs to carry numbers over. She can add them to the already existing numbers. she cna check with a calculator

To maximize the area, the fence should be laid out in a square shape, where both sides measure 15 feet. To maximize the area of a rectangular vegetable garden with a given fence length.

it's important to understand that a rectangle with equal side lengths will yield the maximum area.

Let's denote the length of one side of the rectangle as x and the other side as y. According to the problem, the perimeter of the rectangle is given as 60 feet, so we have the equation:

2x + 2y = 60

Simplifying this equation, we get:

x + y = 30

To maximize the area, we need to maximize the product of x and y. Since x + y = 30, we can rewrite the equation as:

y = 30 - x

Substituting this into the area equation A = x * y, we get:

A = x * (30 - x)

To find the maximum area, we can take the derivative of A with respect to x and set it equal to zero:

dA/dx = 30 - 2x = 0

Solving this equation, we find x = 15. Substituting this back into y = 30 - x, we get y = 15 as well.

Therefore, to maximize the area, the fence should be laid out in a square shape, where both sides measure 15 feet.

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Answer:

above sea level

Step-by-step explanation:

The initial amount is worth $ 1538.46

Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any additional interest that may be added over time.

Simple interest is calculated as a percentage of the principal amount and is usually expressed as an annual rate.

The formula to calculate simple interest is:

Simple Interest = Principal x Rate x Time/ 100

Here we have

You are going to receive $2,000 in 6 years from now

The annual simple interest rate is 5%

Let 'P' be the initial or principal amount

Using the formula, I = PTR/100

Simple interest will gain on 'P' at 5% for 6 years

=> I = P(6)(5)/100  

=> I = 0.3P

And total amount = P + 0.3P = 1.3P

It is given that after 6 years we get $ 2000

=> 1.3P = 2000

=> P = 1538.46

Therefore,

The initial amount is worth $ 1538.46

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Answer: 64

Explanation: All of the numbers are quite close to one another. The number farthest apart from them all would be 64 with a difference of 15. Also, it's visibly shown how there are the 20s, 30s, and 40s, but it skips quickly to the 60s.

I hope this helped!

Good luck <3

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Answer:

By accepting a false  null hypothesis  he committed a type II error.

Step-by-step explanation:

Type II error is to accept H0 when H0 is false.

If there's a type II error then the null hypothesis is false ie the adoption rate is less than 15 %, when the true  adoption rate is not less than 15% . He has accepted the null hypothesis as true and taken the wrong decision of not accepting any new animals into the shelters that week.

Answer:

A

The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.

Step-by-step explanation:

EDGE2022

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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47 degrees is the the angle measure of one of the base angles.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We know that an isosceles triangle is composed of a vertex angle and two base angles.

The base angles are congruent to each other.

We also know that the sum of a triangle's angles is 180 degrees.

86+2x=180

Subtract 86 from both sides

2x=180-86

2x=94

Divide both sides by 2

x=47

Hence, 47 degrees is the the angle measure of one of the base angles.

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Answer:

1. n>=-3

2. s<=65

3. n>=25

4. n/3=n-12

5. 3n-1=n+5

6. 2(n+5)=20

Step-by-step explanation:

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

Answer:

2x-11.5

Step-by-step explanation:

\(2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5\)

hope this helps

Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

Answer:

5: x=27 (Positive)

8: x=9 (9 positive not negative)

11: x=24 (Positive not negative)

Step-by-step explanation:

5: 9*3=27 so 27/9

8: 38+7=45 45/5=9 so x=9

11: 15-7=8 8*3=24, 24/3-15=-7 so x=24

Answer:

3/2

Step-by-step explanation:

3/4x - 1/2y = 12

*3/4    *3/4      *3/4

9/16x - 3/8y = 9

(9/16)/(3/8) = 9/16 * 8/3 = 3/2

Answer:

Step-by-step explanation:

Hello,

I assume that we are looking for a and b so that

ax - by = 9

<=>

\(\dfrac{3}{4}x-\dfrac{1}{2}y=12\)

we can notice that 12 = 4 * 3

so we need to multiply by 3 and divide by 4 to get 9 from 12

\(\dfrac{3}{4}*(\dfrac{3}{4}x-\dfrac{1}{2}y)=\dfrac{3}{4}*12=9\\<=> \dfrac{3*3}{4*4}x-\dfrac{1*3}{4*2}y=9\\<=> \dfrac{9}{16}x-\dfrac{3}{8}y=9\)

Then, we can identify a and b

\(a=\dfrac{9}{16} \ \ \text{\sf and} \ \ b=\dfrac{3}{8}\)

Then

\(\dfrac{a}{b}=\dfrac{9*8}{16*3}=\dfrac{3}{2}\)

hope this helps

If the equations be y = 6.9x + 4.3, y = 4.7x + 8 then the solution of the system is 2.14.

A system of equations, usually referred to as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. As was said earlier, a system of equations is a group of equations that attempt to find a common solution for all of the variables.

Let the system of equations be

y = 6.9x + 4.3

y = 4.7x + 8

then the solution of the system be 2.14.

Therefore, the correct answer is option C. 2.14.

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Answer:

341 meters

Step-by-step explanation:

you just multiply 31 by 11.

Answer:

341 meters

Step-by-step explanation:

Jusr do 31 times 11