Solve for a

11 = -3/10a + 2

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = \(\frac{6-4}{x-3}\)

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

Multiply both sides of the equation by the common denominator:

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

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

\(\sf slope=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\sf let\:(x_1,y_1)=(3,4)\)

\(\sf let\:(x_2,y_2)=(x,6)\)

\(\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}\)

As the slope equals 1:

\(\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}\)

Therefore, x = 5

Step-by-step explanation:

=(-2)2+8(-2)+18(-2)+12

=4-16-36+12

=4+52+12

=56+12

=68

OR

=4-16-36+12

= -12-24

= -36

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer:

1.72r²

Step-by-step explanation:

total Rectangle area = 4r*2r = 8r²

total circles area = 2(π r²) = 2*3.14*r² = 6.28r²

then:

the area of the shaded region:

= 8r² - 6.28r²

= (8-6.28)r²

= 1.72r²

Answer:

2r²(4 - π)

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of rectangle - area of 2 circles

The rectangle has a length of 4r and a width of 2r , then

A = (4r × 2r) - (2πr²)

   = 8r² - 2πr² ← factor out 2r² from each term

    = 2r²(4 - π)

Brad was approximately 6 miles away from the lightning when 30 seconds Elapsed between seeing the lightning and hearing the thunder.

The distance, d, that Brad was from the stroke of lightning, we can use the formula d = n/5, where n represents the number of seconds elapsed between seeing the lightning and hearing the thunder.

Given that 30 seconds elapsed between Brad seeing the lightning and hearing the thunder, we can substitute this value into the formula:

d = 30/5

Simplifying the expression:

d = 6

Therefore, Brad was approximately 6 miles away from the lightning when 30 seconds elapsed between seeing the lightning and hearing the thunder.

the speed of sound is approximately 1/5th of a mile per second. So, by dividing the elapsed time by 5, we can estimate the distance in miles.

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The standard deviation of the thickness of layer 1 = 15.81 x 10⁻⁵ m

                                                                       layer 2 = 20 x 10⁻⁵m

                                                                       layer 3 = 17.32 x 10⁻⁵ m

The variance of the thickness of the three layers is 25,40 and 30 in nanometers

Let v₁, v₂, v₃ be the variance of the three layers of thickness.

Then, the standard deviation of the thickness of these layers can be found using the formula

                             v = σ²

Let us re-write this equation in order to find the standard deviation,

                             σ = √v

where v is the variance and

          σ is the standard deviation

The standard deviation of layer 1 is

                          σ₁ = √v₁

                              = √(25 x 10⁻⁹)

                              = √(250 x 10⁻¹⁰)

                              = 15.81 x 10⁻⁵

The standard deviation of layer 2 is

                            σ₂ = √v₂

                                 = √(40 x 10⁻⁹)

                                 = √(400 x  10⁻¹⁰)

                                 = 20 x 10⁻⁵

The standard deviation of layer 3 is

                             σ₃ = √v₃

                                  = √(30 x  10⁻⁹)

                                  = √(300 x 10⁻¹⁰)

                                  = 17.32 x 10⁻⁵

Therefore, the standard deviation is 15.81 x 10⁻⁵m , 20 x 10⁻⁵ m, 17.32 x 10⁻⁵m

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Answer:

1 cup

Step-by-step explanation:

The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.

Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.

This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.

Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.

To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.

Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.

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The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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Answer:

2x + y = 4

Step-by-step explanation:

2x + y = 9 => y = -2x + 9

Parallel lines have the same slope so m = -2

Given (-1,6)

y = mx + b

6 = -2(-1) + b

6 = 2 + b

b = 4

so y = -2x + 4 or 2x + y = 4

The graph is a vertical line

The equation of the vertical line is x = a, where a is the x-coordinate of all points lie on the line

In our graph the x-coordinate of any point on the lie is 6, so

Disjoint events are events that cannot happen at the same time. Two events A and B are independent if the occurrence of A does not affect the probability of B happening, and vice versa. Mathematically, this can be written as P(A and B) = P(A)P(B).

In the case of disjoint events, P(A and B) = 0 because they cannot occur at the same time. Therefore, the condition for A and B to be independent is that either P(A) = 0 or P(B) = 0, since any non-zero probability for either event would make the product P(A)P(B) also non-zero.

Two disjoint events are independent if and only if at least one of them has zero probability.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helped :) If you need a explantion step by step then tell me.

Answer:

8^18

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

8^15÷8^−3

8^(15 - -3)

8^(15+3)

8^18

Answer:

The absolute value of -34 is greater than 33

Step-by-step explanation:

We convert -34 to its absolute form i.e

\( | - 34 = 34| \)

Now comparison,

34 > 33

Hence, this statement is correct.

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The number of possible outcomes for each game is 3 (win, lose, or tie). Since there are 2 games left, the total number of possible outcomes is 3 x 3 = 9. Therefore, none of the given answers (a, b, or c) is correct. The correct answer is d.

To determine the number of possible outcomes for your favorite football team's remaining 2 games, we'll consider each game independently. Each game can have 3 possible outcomes: win, lose, or tie. For 2 games, you can use the multiplication principle:

Number of possible outcomes = Outcomes for Game 1 × Outcomes for Game 2

So, the number of possible outcomes is:

3 (win, lose, or tie in Game 1) × 3 (win, lose, or tie in Game 2) = 9

Since 9 is not among the given options, the correct answer is:

d. None of the other answers is correct.

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Function has an input and an output. Generally, a function relates each value of a set with exactly one value of another set. According to our definition the function in the relation below will be

All the other options has a x value that is related to more than one values in y.

Answer: 25%

Step-by-step explanation:

From the question, we are informed that Allison earned $200 the first month she worked and $250 the second month she worked.

The percentage increase in her salary will be calculated as:

= Salary Increase / Old salary × 100

= (250 - 200) / 200 × 100

= 50/200 × 100

= 1/4 × 100

= 25%

The percentage increase is 25%

Answer:

For the first question, To determine the probability that a student studied for exactly 1 hour, we can use the formula:

P(X=1) = (number of students who studied for 1 hour) / (total number of students)

In this case,

P(X=1) = 8/30 = 0.27 (rounded to two decimal places)

So the probability that a student studied for exactly 1 hour is 0.27

For the second question, to determine the experimental probability of drawing a heart, we can use the formula:

P(Heart) = (number of times a heart is drawn) / (total number of draws)

In this case,

P(Heart) = 7/20 = 0.35

So the experimental probability of drawing a heart is 0.35

Therefore, the option 3 is the answer.

Step-by-step explanation:

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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The order S, U, N shows U is in the middle. We can read this in reverse to get N, U, S.

Notice how the letter "U"s are adjacent in NU and US to get NU+US.

Answer:c

Step-by-step explanation:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

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The table of solutions to the given Linear Equation, be

x     0     1     2     3     4

y     1      7    13    19    25

Given, a linear equation

y = 6x + 1

the table of solutions to the given equation, be

x     0     1     2     3     4

y     1      7    13    19    25

as, when x = 0,

y = 6(0) + 1

y = 1

when x = 1,

y = 6(1) + 1

y = 7

when x = 2,

y = 6(2) + 1

y = 13

when x = 3,

y = 6(3) + 1

y = 19

when x = 4,

y = 6(4) + 1

y = 25

Hence, the table of solutions to the given Linear Equation, be

x     0     1     2     3     4

y     1      7    13    19    25

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Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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