The following equation i true for all value of x. What number complete the equation?
Show your work. 5y 2(3y − 1) = ⬜y − (y 2)

The area of the sector of a circle  is 28π square miles

The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.

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The truck is 32.22m away from the base of the building

As a 1.5m long  man is standing on the 42m long building,

=>the height of man's site= 42+ 1.5= 43.5m

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

As given, the angle of depression = 53.5°

We know that,

tan ∝= perpendicular* base

so, ∝=53.5:

tan(53.5 )= 43.5/y

[where y= distance of the truck from the base of the building]

1.35= 43.5/y

y=43.5/1.35= 32.22m

Hence, the truck is 32.22m away from the base of the building.​

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Answer:

[tex] \frac{x {}^{13} }{y} [/tex]

Step-by-step explanation:

[tex]1. \: \frac{xx {}^{12} }{y} \\ 2. \: \frac{x {}^{13} }{y} [/tex]

Answer:

Step-by-step explanation:

Input: 1, 2, 3, 4, 5

Output: -7, -9, -11, -13

To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.

( not sure if this is what you wanted us to answer)

Answer:

---------------------------

Using table, put the output values as a sequence:

We see the first term is -7 and the common difference is - 2.

The nth term would be:

Using the formula for the combination and with the And rule of probability, The answer is 20.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

It's formula is:

[tex]C(n,r) = \frac{n!}{r!*(n-r)!}[/tex]

orange balls = 5

yellow balls = 4

green balls = 1

probability = C(5,1)*C(4,1)*C(1,1)

=5*4*1

=20.

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The value of the sequence a2 is (c) 75

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

a₁ = 6 and an = 3 + 2(an-1)²

Substitute 2 for n in the equation an = 3 + 2(an-1)²

So, we have the following representation

a2 = 3 + 2(a2-1)²

This gives

a2 = 3 + 2(a1)²

Substitute a₁ = 6 in a2 = 3 + 2(a1)²

a2 = 3 + 2(6)²

Evaluate

a2 = 75

Hence, the value of a2 is 75

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A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.

Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.

a) For each process the turnaround time is

A= 45 minutes    b= 35 minutes

C= 13 minutes     D= 26 minutes

E= 42 minutes

The average time will be

[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]

b) For a quantum of 4 minutes

[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]

c) The average turnaround time can be calculated to be

[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]

d)The average turnaround time is

[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]

e) The average turnaround time is

[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]

Complete question:

Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.

a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)

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Answer:

2hrs(3x faster) :

6hrs = 15 miles

2hrs = 15 miles

Step-by-step explanation:

Mean of the sample is 6 and standard deviation of the sample is 2.258

number of volunteers per day = 40

so n=40

sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.

sample proportion(p) = 15 %= 15 /100 =0.15

 so p= 0.15

and hence q= 1 - p= 0.85

formula of mean = n * sample proportion =  np.

mean of sample = np = 40 *0.15 =6

 so mean = 6

so standard deviation or SD =  [tex]\sqrt{p * q * n}[/tex]

standard deviation = [tex]\sqrt{p*q*n}[/tex]

=> √(40 × 0.15 × 0.85)

=> √5.1

so standard deviation = 2.258

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Answer:

Step-by-step explanation:

11

Answer:

Step-by-step explanation:

Steps for Solving Linear Equation

−3(2x−4)=18

Divide both sides by −3.

2x−4=

−3

18

​

Divide 18 by −3 to get −6.

2x−4=−6

Add 4 to both sides.

2x=−6+4

Add −6 and 4 to get −2.

2x=−2

Divide both sides by 2.

x=

2

−2

​

Divide −2 by 2 to get −1.

x=−1

Answer:

x= -1

Step-by-step explanation:

-3x (2x-4) 18

Distribute

-6x + 12 = 18

Subtract

-6x + 12-12 = 18 - 12

Simplify

-6x = 6

Divide

-6x/-6 = 6/-6

Simplify

x= -1

The domain and range is calculated to be

domain { x | 0 ≤ x ≤ 12 }

range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }

The situation described has the following information deduced form the problem

a parking garage that operates from 7:00 a.m. to 7:00 p.m.

from  7:00 a.m. to 7:00 p.m = 12 hours

hence form 0 to 12 is the domain

and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking

this means that the y intercept is 3 and the slope is 2, hence the equation of the line is

y = 2x + 3

The range is calculated as follows, since 11.59 is counted as 12 we take 11

at x = 0, y = 2 * 0 + 3 = 3

at x = 11, y = 2 * 11 + 3 = 25

the range is calculated to be 3 to 25

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Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

The number of more workers required that the work will finish in 24 days will be equal to 3 workers.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

12 workers can finish the work in 30 days.

Let the number of more men be x that the work will be finished in 24 days.

Use the man-days concept.

M₁ D₁ = M₂D₂

Here, M₁ and M₂ are the numbers of men, and D₁ and D₂ are the numbers of days.

12 × 30 = x × 24

x = (12 × 30)/24

x = 15

So, the number of extra men is,

15 - 12 = 3 workers.

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The expression that is equivalent to a + b will be 3x + 3.

It's important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this situation, the value of a = 2x and b = x + 3. The expression that is equivalent to a + b will be:

= a + b

= 2x + x + 3

= 3x + 3.

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The value of a = 2x and b = x + 3. Which expression is equivalent to a - b?

Answer:

4m(m+7m) 8(2m+1)

________. x. ______

8(3m+2). 4m(5m-1)

(m+7m). (2m+1)

________. x. ______

(3m+2). (5m-1)

2m2 + 1m + 14m2 + 7m

__________________

15m2 -3m + 10m -2

16m2 + 8m

_________

15m2 + 7m - 2

8m (2m + 1)

__________

(5m - 1) (3m + 2)

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer:

  k = 7

Step-by-step explanation:

You want to know the value of k that transforms f(x) = 2/3x -3 to g(x) = f(x) +k, where g(x) is 2/3x +4.

The amount of vertical shift to get from f(x) to g(x) can be found by subtracting f(x) from g(x):

  g(x) = f(x) +k

  g(x) -f(x) = k

  (2/3x +4) -(2/3x -3) = k

  4 -(-3) = k = 7

Function f(x) is shifted upward by k = 7 to transform it to g(x).

__

Additional comment

We can read the equations from the graph by looking for the y-intercept (b) and the slope (m = rise/run) of each line. The slope is rise=-2 for run=3, so m=-2/3.

The +k means the transformation is a vertical shift. You don't need to know what the equations for f(x) and g(x) are; you only need to look at the difference between the y-intercepts. That difference is the amount by which g(x) is shifted upward.

Answer:

[tex]V=197.82 m^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is defined by [tex]\pi r^{2} h[/tex], where [tex]\pi r^2[/tex] represents the area of its base (which is just a circle) and [tex]h[/tex] the height of the cylinder. Think of a rectangle. The formula for its volume is simple [tex](base)(width)(height)[/tex]. In this case, base and width are [tex]\pi r^2[/tex], and the height is simply [tex]h[/tex].

Knowing this information, we can solve for the volume:

Diameter = 6 m . Radius is half of the diameter. So Radius, r, = 3 m.

Height = 7 m.

Now we plug into the equation, such that [tex]\pi =3.14[/tex]:

[tex]V=(3.14)(3)^2(7)[/tex]

[tex]V=197.82 m^{3}[/tex]

Answer:

[tex]V=197.82[/tex]

Step-by-step explanation:

[tex]Given,\\H=7m\\D=6\\R=?\\[/tex]

So we need to find the radius with the Formula,

[tex]r=\frac{d}{2}[/tex]

[tex]r=3m[/tex]

Now we need to find the volume of the cylinder by the Formula,

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14X(3)^{2}(7)[/tex]

[tex]V=3.14X63\\V=197.82[/tex]

Hope it helps u

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The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

⇒ radius = 10 inches

⇒ circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Answer:

Below

Step-by-step explanation:

Square area = s^2

    ds/dt = 3

Area = s^2      Find the derivative with respect to t of both sides

area/dt = 2s ds/dt

                    = 2 (10)(3)  = 60 in^2   per sec

Answer:

( 1 , –3)

Step-by-step explanation:

i hope this answer helped

Answer:

Step-by-step explanation:

In order to answer this question, we need to know what PEMDAS stands for.

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Now using this order, we can solve.

There isn't any parenthesis.

There is an exponent, [tex]5^{3}[/tex].

Let's solve this.

5 × 5 × 5 = 125

Our equation now looks like this:

125 + 28 ÷ 7 - 1

There isn't any multiplication for us to solve.

There is division.

28 ÷ 7 = 4

Now our equation looks like this:

125 + 4 - 1

Now it's time for addition.

125 + 4 = 129

Now our equation looks like this:

129 - 1

Now all we need to do is subtraction.

129 - 1 = 128

The final answer is 128.

Answer:

D. Corresponding Angles

Step-by-step explanation:

This is becasue they're both the same angle on the same side

Answer:9.9

Step-by-step explanation:

We know that pythagorean Theorem is a^2+b^2=c^2

Using this, and A & B we can plug them in

We get 49+49=c^2

98=c^2

we can square root both sides to get

sqrt98=c^2

or 9.9(rounded to the nearest 10th)

Answer:

c = 9.9 to the nearest tenth

Step-by-step explanation:

Pythagoras theorem = c² = a² + b²

a= 7, b = 7, c =?

c² = 7² + 7²

c² = 49 + 49

c² = 98

c =√98

c = 9.8995

Answer to the nearest tenth

c = 9.9

The average rate of change of a function is said to be a measure of how much the function changed per unit The average rate of change is -100/11

The average rate of change of a function is said to be a measure of how much the function changed per unit, on average, over that interval. It is also said to be derived from the slope of the straight line connecting the interval's endpoints on the function's graph

f(x) over an interval [x1,x2] is given by:

average rate of change = change in y/change in x

= f(x2) − f(x1) / x2−x1

With f(x) = 1/x over [1, 11]

average rate of change = f(11) − f(1) / 11−1

average rate of change = (1/11 − 1) / 10

average rate of change = (−10/11 / 10

average rate of change = −100/11

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The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

Answer:

  0.2 m

Step-by-step explanation:

You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.

The formula for the volume of a cylinder is ...

  V = πr²h

Using the given values, we have ...

  0.628 m³ = 3.14(1 m)²h

  0.2 m = h . . . . . . . . . divide by 3.14 m²

The depth of the water in the cylinder is 0.2 m.