need help on this picture ​

Answer:

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Step-by-step explanation:

We will consider number = x

1. Half of a number is added to four. This sum is equivalent to negative one.

\(\frac{1}{2}x+4=-1\)

Now solving to find value of x

\(\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10\)

So, value of x=-10

2. The sum of a number and three is divided by five. The result is negative two.

\(\frac{x+3}{5}=-2\)

Solving:

\(\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13\)

So, value of x=-13

3. The difference between four times a number and five has a result of negative eight.

\(4x-5=-8\)

Solving:

\(4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25\)

So, value of x=3.25

4. The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen.

\((x-5)*-2=-14\)

Solving

\((x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12\)

So, value of x=12

5. The sum of a number and two is equal to the quotient of six and negative four.

\(x+2=\frac{6}{-4}\)

Solving:

\(x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5\)

So, value of x=-3.5

Now arranging based on values of x

x=-10, x=-13, x=3.25, x=12, x=-3.5

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Answer:

a. 6 and 15

b. 4 and 11

c. 6, 9, and 12

d. 8, 10, and 20

2.What’s the least common denominator (LCD) for each group of fractions?

a. 1⁄6 and 7⁄8

b. 3⁄4 and 7⁄10

c. 7⁄12, 3⁄8 and 11⁄36

d. 8⁄15, 11⁄30 and 3⁄5

3.Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true.

a. 18/36 _____ 1/2

b. 13/15 _____ 7/10

c. 3/5 _____ 5/9

d. 3/8 _____ 10/16

4.On a hot summer day, John drank 5⁄11 of a quart of iced tea; Gary drank 7⁄10 of a quart; and Carter drank 3⁄5 of a quart. Which man was the most thirsty?

5.What’s the largest fraction in each group?

a. 5⁄6 and 29⁄36

b. 5⁄12 and 3⁄8

c. 2⁄5 and 19⁄45

d. 5⁄7, 13⁄14, and 19⁄21

e. 7⁄11 and 9⁄121

f. 1⁄2, 3⁄18, and 4⁄9

6.Reduce each of the following fractions to its simplest form.

a. 12⁄18

b. 48⁄54

c. 27⁄90

d. 63⁄77

e. 24⁄32

f. 73⁄365

7.What is the next fraction in each of the following patterns?

a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .?

b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .?

c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .?

8.In each pair, tell if the fractions are equal by using cross multiplication.

a. 5⁄30 and 1⁄6

b. 4⁄12 and 21⁄60

c. 17⁄34 and 41⁄82

d. 6⁄9 and 25⁄36

9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average?

10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests?

11.Find the missing numerators in each of the following problems.

a. 10⁄15 = ⁄60

b. ⁄108 = 4⁄9

c. 7⁄11 = ⁄121

d. ⁄144 = 2⁄6

12.This handy application of LCMs is used by astronomers.

All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun.

Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (Hint—Find the LCM of the planets’ revolution times.)

Solar System

Planet Revolution Time

Earth 1 year

Mars 2 years

Jupiter 12 years

Saturn 30 years

Uranus 84 years

Neptune 165 years

Step-by-step explanation:

1.

a. 30

b. 44

c. 36

d. 40

2. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's

a. 24

b. 20

c. 4

d. 5

3.

a. =

b. not =

c. not =

d. not =

4. Gary

5.

a. 5/6

b. 5/12

c. 19/45

d. 13/14

e. 7/11

f. 1/2

6.

a. 2/3

b. 8/9

c. 3/10

d. 9/11

e. 3/4

f. 1/5

7.

a. 36/40

b.

c.

8.

a. yes

b. no

c. no

d. no

9. no

10. yes

11.

a. 40

b. 48

c. 77

d. 48

12. 4,620

Answer:

$6.54

Step-by-step explanation:

32.70 divided by 5 is 6.54.

Answer: Each cellphone case costs $6.54

Step-by-step explanation: just divide 32.70 with 5 and u will get the result of 6.54 as your answer. Hope this helps:)

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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The sample space is the set of all possible outcomes of a random experiment. The state space is the set of all possible values that a random variable can take on.

Each xk is a random variable because it is a function that assigns a numerical value to each element in the sample space. In other words, for each outcome in the sample space, there is a corresponding value of xk.

A stochastic process is a collection of random variables defined on a common sample space. In this case, x d fxkgk2n is a stochastic process because it is a collection of random variables (x1, x2, ..., xn) defined on a common sample space.

A stochastic process can also be defined as a family of random variables {X(t)}, indexed by a set of indices, usually taken as time t. The set of all possible values of the indices is called the parameter space.

For example, in the case of X d fxkgk2n, the parameter space is the set of integers {1, 2, ..., n}.

A stochastic process describes how a system evolves over time. It can be used to model various phenomena, such as stock prices, weather patterns, and population dynamics. The properties of a stochastic process, such as stationarity and independence, can provide insight into the underlying dynamics of the system it models.

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Answer:

y = \(\frac{3}{2}\) x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{3}{2}\) , then

y = \(\frac{3}{2}\) x + c ← is the partial equation

To find c substitute (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = \(\frac{3}{2}\) x - 1 ← equation of line

Answer:

50% of 56=28

Step-by-step explanation:

Answer:

50% of 56 = 28

Step-by-step explanation:

50% of 56 = 28

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, as:

\(\mu = 75, \sigma = 3\).

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{81 - 75}{3}\)

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 75}{3}\)

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{69 - 75}{3}\)

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{84- 75}{3}\)

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

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Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6

The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

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the system of linear equations by graphing - y=-x+7,  y=x+1; values for y is (6,6).

A linear equation is an equation in which the highest power of the variable is 1. The general form of a linear equation is "ax + b = 0", where "a" and "b" are constants and "x" is the variable. For example, "2x + 3 = 0" is a linear equation. The solution to a linear equation is the value(s) of the variable that make the equation true. Linear equations can be solved using various methods such as algebraic manipulation, substitution and elimination. Linear equations can be represented graphically as a straight line, and the solution of the equation is the point where the line crosses the x-axis (or y-axis if the equation is in terms of y). Linear equations have a wide range of applications in many fields, including physics, engineering, economics, and many others.

To solve the system of linear equations by graphing, we can first graph each equation on the coordinate plane.

y = -x + 7 represents a line with a slope of -1 and y-intercept of (0,7) y = x + 1 represents a line with a slope of 1 and y-intercept of (0,1)

If we graph these two lines, we can see that they intersect at a single point, which represents the solution to the system of equations.

The x-coordinate of the point of intersection can be found by setting y equal to each other and solving for x. x = y

And the y-coordinate of the point of intersection can be found by setting x equal to each other and solving for y. y = x

Therefore the solution of the system is (x,y) = (x,x) = (6,6)

So the solution of the system is (6,6)

We can check this point by substitute x=6 and y=6 in each equation of the system and see if it makes both equations true.

y = -6 +7 = 1 y = 6 + 1 = 7

So the point (6,6) is a solution for the system of equations.

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Answer:

x=9

Step-by-step explanation:

3x+9=35

3x+9-9=35-9

3x=27

3x/3=27/3

x=9

Answer:

Step-by-step explanation:

3x+8 = 35

3x = 27

x =  9°

Let panels produced by plant A be represented by a

Let panels produced by plant B be represented by b

Let the total panels produced by both plants be represented by x

Generating the equations from the statements given;

Total panels

Defective panels

Since the defective panel is 7% of the total panels, then;

Therefore, the number of panels produced by plant B is 6000panels

For a right angled triangle with side length 57, x and y, the missing sides lenths x and y are equal to the 73.1 and 46.17 respectively.

See the above figure, we have a right angled triangle. Let the be say ABC with measure of angle B be 90°, and the three sides of triangle are defined as length of base of triangle, BC = 57

height of triangle, AB = y

length of hypothonous, AC = x

measure of angle C = 39°

measure of angle B = 90°

So, measure of angle of A = 180° - 90° - 39° = 51°

We have to determine the missing length of sides. Using the trigonometry functions, for determining the value x and y. So, \(Cos(39°) = \frac{ 57} {x} \)

=> \(x = \frac{ 57} {Cos(39°)} \)

=> x = 57/0.78 = 73.1

Similarly,

\(tan(39°) = \frac{y} {57} \)

=> y = 57 × tan(39°)

=> y = 0.81 × 57 = 46.17

Hence, required value is 46.17.

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Complete question:

The above figure complete the question.

The volume of steel needed to make the pipe is 5875π cubic inches.

To find the volume of steel needed to make the pipe, we need to calculate the difference in volume between the outer and inner cylinders that form the pipe.

First, let's calculate the volume of the outer cylinder:

\(V_{outer} = \pi \times (r_{outer^2}) \times h\)

\(V_{outer } = \pi \times (25 in)^2 \times 120 in\)

\(V_{outer } = 75000\pi in^3\)

Next, let's calculate the volume of the inner cylinder:

\(V_{inner} = \pi \times (r_{inner^2}) \times h\)

\(V_inner = \pi \times (24 in)^2 \times 120 in\)

\(V_{inner }= 69120\pi in^3\)

Finally, to find the volume of steel needed, we subtract the volume of the inner cylinder from the volume of the outer cylinder:

Volume of steel \(= V_{outer} - V_{inner}\)

Volume of steel \(= 75000\pi in^3 - 69120\pi in^3\)

Volume of steel\(= 5875\pi in^3\)

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Step-by-step explanation:

The correct domain is [3,8].

Answer:a. Y=15+.20x

B. Y=25+.10x

C. (100, 35)

Step-by-step explanation:

Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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Answer:

Step-by-step explanation:

f(x) = -2(x+3)^2 -1 would be the fourth graph because its translated 3 to the left, negative, and 1 down

f(x)=2(x+3)^2+1 would be the first graph since it's translated 3 to the left, positive, and shifted 1 up

f(x)=-2(x+3)^2+1 would be the second graph since it's translated 3 to the right, negative, and shifted 1 up

f(x)=2(x-3)^2+1 would be the third graph since it's translated 3 to the right, positive, and shifted 1 up

The question asks for the magnitude and direction of a vector given its components, and also the number of significant figures in several numerical values.

To find the magnitude of a vector with components Aₓ = -2.50 m and Aᵧ = 4.50 m, we can use the Pythagorean theorem. The magnitude (or length) of the vector A is given by |A| = √(Aₓ² + Aᵧ²). By substituting the values, we can calculate the magnitude of the vector A.

To determine the direction of the vector A, we can use trigonometry. The direction of a vector is often expressed in degrees counterclockwise from the positive x-axis. We can find the angle θ by using the arctan function: θ = arctan(Aᵧ / Aₓ). By substituting the given values, we can calculate the angle in degrees.

Regarding the number of significant figures in the given values, significant figures are the digits in a number that carry meaning or contribute to its precision. In each value, we count the significant figures, which include all non-zero digits and zeros between significant digits. The total number of significant figures is important for maintaining accuracy and precision in calculations and reporting measurements.

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The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

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The function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.

An amplitude simply means a measure of the change in a single period.

It should be noted that the formula of the cosine function will be y = A cos bx

A = Amplitude

Therefore, the function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.

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Answer:176 is the answer if your asking for the outer circles circumfer

Step-by-step explanation:

Answer:

= 3x

Step-by-step explanation:

3x

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

Answer:

its C  (Species diversity)

Step-by-step explanation:

We need to find how long a person has to wait on average to have their question answered, how many people will be in line on average, what percent of the day will the information booth be busy.

The average time that each person takes is 1 minute. Therefore, 30 people can be helped per hour by a single employee. And since the fair lasts for 8 hours a day, a total of 240 people can be helped every day by a single employee. The fair is visited by approximately 1000 people.

Therefore, the percentage of the day that the information booth will be busy can be given by; Percent of the day the information booth will be busy= (240/1000)×100 Percent of the day the information booth will be busy= 24% Therefore, the information booth will be busy 24% of the day.2.

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Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.