Find the slope intercept form of 24 = 4y - 8x

Answer:

x = -1.6

Step-by-step explanation:

Original equation:

5x + 9 = 1

Subtract 9 from both sides

5x = -8

Divide both sides by 5

x = -1.6

Hope this helps :)

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The main answer to your question is (3, 6). This is the ordered pair that represents the point of intersection for the two graphed lines representing the table of values and equation given.

To provide an explanation, the point of intersection for two lines represents the point where they meet or cross each other on a graph.

In this case, the table of values and equation have been graphed and we are looking for the point where they intersect.

By visually examining the graph, we can see that the point of intersection occurs at the coordinates (3, 6).

In summary, the ordered pair (3, 6) represents the point of intersection for the two graphed lines representing the table of values and equation given.

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The function that forms geometric sequence : f(x) = \(-2(\frac{3}{4} )^{x}\)

Given,

x = 1, 2 , 3 , 4 ..

Now,

Geometric sequence : A geometric sequence is formed when there is a common ratio between terms.

The formula for a term in a geometric sequence is as follows:

\(a_{n} = a_{1} * r^{n-1}\)

So substitute the value of x as n in the formula for each function .

1)

f(x) = 8x -9

f(1) = -1

f(2) = 7

f(3) = 17

Here the common ratio is not same .

2) f(x) = \(-2(\frac{3}{4} )^{x}\)

f(1) = -3/2

f(2) = -9/8

f(3) = -27/32

Thus here the common ratio between two consecutive terms is same .

Therefore it forms a geometric sequence .

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Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

Using inequality sign on the fractions gives: 1/2 > 4/10

There are different inequality signs such as:

< which denotes less than sign

> which denotes greater than sign

≤ which denotes less than or equal to

≥ which denotes greater than or equal to

We want to compare the fractions 1/2 and 4/10

In decimal they are: 0.5 and 0.4 and as such we can say that:

1/2 > 4/10

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Answer:

slope of 2 and y-intercept of 1

(3rd answer choice)

Step-by-step explanation:

Answer:

It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.

Answer:Statistics Calculator: Mean Absolute Deviation (MAD). Use this calculator to compute the mean absolute deviation from a data set. Data is from: ... Values must be numeric and may be separated by commas, spaces or new-line. Press the ..

Step-by-step explanation:

Answer:

the answer is 14

Step-by-step explanation:

The inverse of the equation is  f⁻¹(y) = (25 - y)/40.

The value of time can not be negative because then we can do time travel.We can assume time to zero at any given point as it is not absolute.

According to the given question

The plumber charges 40 dollars for each hour and for each service call he charges additional 25 dollars.

∴ The equation that represents plumbers total charge is f(t) where t represents time in hour.

f(t) = 40t + 25.

Now to find inverse of this equation we can replace f(t) with y and solve for t which implies

y = 40t + 25

40t = 25 - y

   t = (25 - y)/40.

Now t can replaced with f⁻¹(y)

f⁻¹(y) = (25 - y)/40

As value of time can not be negative his total should be more than 25 dollars.

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Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Answer:

110

Step-by-step explanation:

The slope of the line passing through the points (3,-5) and (5,3) is m=4

The points are (3,-5) and (5,3)

The slope of the line states that the change in y coordinate with respect to the change in x coordinate

Slope of the line m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Where m is the slope of the line

\((x_{1},y_{1} )\) is the coordinates of first point in the line

\((x_{2}, y_{2})\) is the coordinates of second point in the line

Here the points are (3,-5) and (5,3)

Substitute the values in the equation of slope of the line

m=\(\frac{3-(-5)}{5-3}\)

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

=8/2

=4

We know y = mx+c

y=4x+c

Substitute the value of x and y

3=4(5)+c

3=20+c

c =3-20

c=-17

y=4x-17

Draw the graph

Hence, the slope of the line passing through the points (3,-5) and (5,3) is m=4

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Answer:

256pie unit³

Step-by-step explanation:

The volume of a cylinder

=pie x r² x h

= pie x 8² x 4

256pie unit³

Answer: The linear model does not describe the data well because most of the points are located above the line.

Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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a) The expected completion time of the project is 22 units, and the critical path is A-D-F-G-I-J-L. (b) Activities E and G can be performed simultaneously without delaying the minimum project completion time because they are not on the critical path. Performing them concurrently would not affect the critical path activities.

(c) One person can perform activities A, G, and I without delaying the project because these activities are not dependent on each other. As long as the person can complete these activities within their respective durations, the project timeline will not be affected.

(d) If activity G is delayed by seven hours and activity L is delayed by four hours, the project would be delayed by the longest duration among the critical path activities affected by these delays. In this case, the project would be delayed by seven hours since activity G is on the critical path.

(a) The PERT/CPM network is constructed by identifying the activities and their respective durations. Arrows represent the flow of activities, and nodes represent the start and end points of each activity. By calculating the earliest start time, earliest finish time, latest start time, latest finish time, and slack for each activity, the critical path and expected completion time can be determined.

(b) To determine if activities E and G can be performed simultaneously, we analyze their dependencies and impact on the critical path. If performing both activities concurrently does not affect any activities on the critical path, they can be done simultaneously without delaying the project completion time.

(c) Activities A, G, and I can be performed by one person without delaying the project if they have sufficient time and resources to complete these activities within their durations. As long as the dependencies of these activities are taken into account, one person can handle them simultaneously.

(d) To calculate the delay caused by specific activity delays, we analyze the critical path and identify the activities affected by the delays. The project's delay would be equal to the longest duration among the critical path activities impacted by the delays.

The PERT/CPM network provides a visual representation of the project activities, their dependencies, and durations. By identifying the critical path and expected completion time, the project's timeline can be understood. Analyzing the dependencies and impacts of specific activity delays allows us to determine the potential delays to the project completion. It is important to consider the critical path and dependencies when assessing the effect of delays or performing activities concurrently.

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Answer:

(1, - 1 )

Step-by-step explanation:

x + y = 0 → (1)

5x + y = 4 ( subtract 5x from both sides )

y = 4 - 5x → (2)

substitute y = 4 - 5x into (1)

x + 4 - 5x = 0

4 - 4x = 0 ( subtract 4 from both sides )

- 4x = - 4 ( divide both sides by - 4 )

x = 1

substitute x = 1 into (1) and solve for y

1 + y = 0 ( subtract 1 from both sides )

y = - 1

solution is (1, - 1 )

The sample variance and standard deviation of the given data set {5, 51, 15, 50, 32, 25, 28, 28, 30, 27} are 284.89 and 16.87, respectively.

The sample variance is a measure of how spread out a data set is. It is calculated by finding the average of the squared differences from the mean. To find the sample variance of the given data set, first find the mean which is (5+51+15+50+32+25+28+28+30+27)/10 = 29.1. Next, subtract the mean from each value in the data set, square the result, and then find the average of these squared differences. This results in a sample variance of 284.89.

The standard deviation is the square root of the sample variance and is another measure of how spread out the data set is. To find the standard deviation of the given data set, take the square root of the sample variance calculated above which results in a standard deviation of 16.87.

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Rolling two dice and obtaining a perfect square sum and obtaining an even sum are not independent events i.e. the occurrence of one affects the probability of the other occurring.

To determine whether events a and b are independent, let's first find the probability of event a, the sum of the dice being a perfect square. There are 36 possible outcomes when rolling two dice, and 5 of them give a sum of 4 (1+3, 2+2, 3+1, 1+3, 2+2), and 4 of them give a sum of 9 (3+6, 4+5, 5+4, 6+3), so a total of 9 outcomes give a perfect square sum. Therefore, the probability of event a is 9/36 = 1/4.

Now let's find the probability of event b, the sum of the dice being even. There are 18 outcomes that give an even sum: (1+1, 1+3, 1+5, 1+7, 2+2, 2+4, 2+6, 3+3, 3+5, 3+7, 4+4, 4+6, 5+5, 5+7, 6+6, 7+7, 4+2, 6+2). Therefore, the probability of event b is 18/36 = 1/2.

To determine whether events a and b are independent, we need to check whether the probability of event a changes when we know that event b has occurred. If events a and b are independent, then the probability of a given that b has occurred should be the same as the probability of a without considering b.

Let's calculate the conditional probability of event a given that event b has occurred. If the sum of the dice is even, then the only possible ways to get a perfect square sum are with 2+2 or 6+2, so there are only 2 outcomes out of the 18 that satisfy both events. Therefore, the conditional probability of event a given that event b has occurred is 2/18 = 1/9.

Since the conditional probability of a given b is not equal to the probability of a without considering b, we can conclude that events a and b are not independent.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

-2 + 3 = 1

Step-by-step explanation:

Brainliest? uwu

The choice that provides the best example of alliteration for the given sentence is tested terrifically on teaching. (Option C)

Alliteration is a literary device in which there is a noticeable repetition of initial consonant sounds in consecutive or nearby words in a phrase. It refers to the occurrence of the same sound or letter at the beginning of adjacent or closely connected words. Alliteration is created by repeated sound at the start of the words and not the repeated letter. For example, the phrase “kids’ coats” is alliterative, and the phrase “phony people” is not alliterative. In the given sentence, author can create alliteration by using tested terrifically in place was absolutely aced.

Note: The question is incomplete. The complete question probably is: In the sentence, the author wants to use alliteration. Which choice provides the best example of this? Ted absolutely aced his teaching exam. A) NO CHANGE B) was astounded at how well he did on C) tested terrifically on teaching.

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Now the state-space representation is

\([ΔθΔθ˙]=[001Ib​kIb​][ΔθΔθ˙]+[0Hω] cos(θ0​ + Δθ\)

\()≈[0Hω] cos(θ0​) + [0−Hω sin(θ0​)] Δθ + [0Hω] cos(θ0​) Δθ˙ + [001Ib​kIb​][ΔθΔθ˙]\)

This is the state space representation of the system if the input is ω(t) and the output is \(θ(t).\)

Given that the differential equation of the system is \(Iθ¨ + bθ˙ + kθ = Hω cosθ.\)

Here, I is the moment of inertia, b is the coefficient of damping, k is the spring constant, θ is the angular displacement, H is the torque constant and ω is the angular frequency.

The state-space representation of the above system is given by:

\([θθ˙]=[001Ib​kIb​] [θθ˙]+[0Hω]cosθ\).The linearization of the state equation can be obtained by taking the first order Taylor series expansion of the equation about the equilibrium point. At the equilibrium point \(θ0​=0\),

\(θ˙0​=0\) and

ω0​=0, the linearized state equation is given by

:\(Δθ¨ + bΔθ˙ + kΔθ = Hω cosθ or Δθ¨ + bΔθ˙ + kΔθ\)

= HωFor linearization,

\(Δθ = θ - θ0\)​ and

\(Δθ˙ = θ˙ - θ˙0​Δθ\)

\(= θ\)and

\(Δθ˙ = θ\)˙

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There would be 600 bulbs in all, that makes. 6 in each of the 100 bags. An expression could be: 600 = 100x.

MOM PLSSSS COME ONLINE

Answer:

A=h(b)b/2

Step-by-step explanation:

For the given container and its lid the correct dimensions are

For a rectangular prism measures are 4cm by 5cm by 8cm.

For a rectangular pyramid dimensions are 2cm by 4cm by 8cm.

As given in the question,

A small container and its lid measures are given as follow:

Dimensions of rectangular prism

Length = 4 centimeters

Width = 8 centimeters

Height = 5 centimeters

Correct dimensions formed for the rectangular prism from the given option are 4cm by 5cm by 8cm

Dimensions of rectangular pyramid

Base:

4 centimeters by 8 centimeters

Height = 2 centimeters

Correct dimensions formed for the rectangular pyramid from the given option are 2cm by 4cm by 8cm.

Therefore, for the given container and its lid the correct dimensions are

For a rectangular prism measures are 4cm by 5cm by 8cm.

For a rectangular pyramid dimensions are 2cm by 4cm by 8cm.

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Answer:

p = 12/18

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/9*p-(12/18)=0

Simplify.

Simplify more.

Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       3

The electric field vector in this region is calculated to be:

E = (Ex, Ey, Ez) = (-?y^2z - 4y, -?2xyz - 4x, -?xy^2)

The electric field in this region is given by the negative of the gradient of the electric potential. The gradient of V = ?xy2 z + 4xy can be found by taking the partial derivatives with respect to x, y, and z. Taking the partial derivatives we have:

∂V/∂x = ?2xyz + 4xy
∂V/∂y = ?x2yz + 4xz
∂V/∂z = ?x2y2 + 4xy

Therefore, the electric field in this region is given by:

E = -(∂V/∂x, ∂V/∂y, ∂V/∂z) = (-?2xyz - 4xy, -?x2yz - 4xz, -?x2y2 - 4xy)

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Answer:

degree x π/180 = radian

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

1) -290° × π/180 = -5.061rad

3) 970° × π/180 = 16.93rad

5) 510° × π/180 = 8.901rad

7) 210° × π/180 = 3.665rad

9) 240° × π/180 = 4.189rad

11) -945° × π/180 = -16.49rad

13) 315° × π/180 = 5.498rad

15) -520° × π/180 = -9.076rad

17) 300° × π/180 = 5.236rad

19) 555° × π/180 = 9.687rad

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

i hope this helps!

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. For example

In other words, multiply linearly and simplify

If you have to multiply mixed fractions, first you transform the fraction from mixed to improper and then multiply, for example

The law of signs for multiplication is

   Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. ...

   Example: Multiply the following fractions: 1/3 × 3/5.

   Solution: We start by multiplying the numerators: 1 × 3 = 3, then, multiply the denominators: 3 × 5 = 15.

Solution:

Let's verify each option to see which is correct.

Option A

Two subtracted from the quotient of seven divided by b.

Option B

Seven added to difference of b minus two.

Option C

The quotient of seven divided by b minus two.

Option D

Two subtracted from seven times b

Option E

The product of seven and the difference of b minus two

Option E is correct.

Answer:

Option E

Step-by-step explanation:

Let's check

So the expression becomes 7(b-2)