Express the limit as a definite integral on the given interval. lim n→[infinity] n i = 1 [3(xi*)3 − 8xi*]Δx, [2, 8]

Answer:

85

Step-by-step explanation:

I got the same test bro worry

Answer:

85

Step-by-step explanation:

10 times 8=80

5 times 2=10divided 2=5

80+5=85

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

Based on the understanding of Pearson correlation, none of the provided conclusions can be determined solely based on the given information.

The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables, such as crime and the number of churches. It does not provide information about causation or the direction of the relationship.

The Pearson correlation coefficient ranges from -1 to +1. A positive correlation indicates that as one variable increases, the other tends to increase as well, but it does not imply causation. A negative correlation indicates that as one variable increases, the other tends to decrease, but again, causation cannot be determined solely based on correlation.

Therefore, without further information or evidence, we cannot conclude any of the provided options (B, C, or D). Correlation alone does not provide a basis for determining causation or making predictions about the effects of changing the number of churches on crime rates in an area.

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Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

Answer:

x=6

My best attempt

Step-by-step explanation:

The ratio is 4:5.6 from top to bottom.

We have a ratio of x:8.4

We will make an equation.

4:5.6=x:8.4

Cross multiply:

5.6x=4x8.4

5.6x=33.6

Divide both sides by 5.6:

x=6

Answer:

1. 2:5=10:25

2. 6:4=3:2

3. 16:49=4:7

4.7:3=42:18

5.15:21=3:7

6.72:48=9:6

Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

Answer:

To get your variable to one side of the equation and a number on the other side to solve your problem.

I am honestly taking a quick swing at this bc I am waiting for my little one to get off the bus and I don't want to leave you hanging!

modulus means absolute value

so first blank is 2\(\sqrt{5}\)

next is 6\(\sqrt5}\)

last box is "are the same"

Answer:

6

Step-by-step explanation:

boom roasted. (sry if I'm incorrect)

Answer:

6 in.

Step-by-step explanation:

you can use the Pythagorean theorem to solve this problem.  

hypotenuse squared = leg squared = the other leg squared.  

You have one leg is 8 and the hypotenuse is 10.  Let the missing leg = x

So, \(10^{2}\) = \(8^{2}\) + \(x^{2}\)

100 = 64 + \(x^{2}\)

36 = \(x^{2}\)

x = \(\sqrt{36}\) = 6

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hope this helped have an amazing day!

209 weeks would be taken by the crew to repair 2512 long section of road.

What do you mean by unitary method?

The unitary method is a method of solving a problem by first finding the value of a single unit, then multiplying the value of that single unit to find the necessary value.

Here, it is given to us that a road construction crew can repair a 12 mile section of road each week.

Using unitary method,

Number of week taken by crew for 12 mile section of road = 1 week

Number of week taken by crew for 1 mile section of road = 1/12 week

Number of week taken by crew for 2512 mile section of road = (1/12) × 2512 weeks = 209.333333 weeks ≈ 209 weeks

Therefore, 209 weeks would be taken by the crew to repair 2512 long section of road.

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Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm

Answer:

The solution is 24

Step-by-step explanation:

z = 7

w = 5

2z + 2w

we enter the numbers

2(7) + 2(5)

= 14 + 10

= 24

The substance's half-life is approximately 4.954 days, rounded to the nearest tenth.

To find the half-life of the substance, we can use the formula for exponential decay,\(N = Noe^(-kt)\), where N is the mass at time t, No is the initial mass (at time t = 0), k is the decay constant, and t is the time in days.

In this case, we have a 15-gram sample with a k-value of 0.1405. We want to find the time it takes for the mass to decrease to half its initial value.

Let's set N = 0.5No, which represents half the initial mass:

\(0.5No = Noe^(-kt)\)

Dividing both sides by No:

\(0.5 = e^(-kt)\)

To solve for t, we can take the natural logarithm (ln) of both sides:

ln(0.5) = -kt

Now, we can substitute the given value of k = 0.1405:

ln(0.5) = -0.1405t

Solving for t:

t = ln(0.5) / -0.1405

Using a calculator, we find:

t ≈ 4.954

The substance's half-life is approximately 4.954 days, rounded to the nearest tenth.

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Answer:

x = 5

Step-by-step explanation:

Hope this helps! :D

Answer:

Step-by-step explanation:

The correct answer is d. All of the above causes changes in the CPI to overstate the true inflation rate.

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\( \large \tt \purple↪ \: \: \: \: \: 5x - 16 = x + 10 \)

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\(\large \tt \purple↪ \: \: \: \: \:5x - x = 10 + 16 \)

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\(\large \tt \purple↪ \: \: \: \: \: 4x = 26\)

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\(\large \tt \purple↪ \: \: \: \: \: x = \cancel\frac{26}{4} \)

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hope helps ~

Answer:

7 games

Step-by-step explanation:

4+5x=39

5x=35

x=7

Answer:

60m³b²

Step-by-step explanation:

We need to find the least common multiple of 15 m³ and 12 b².

Prime factorization of 15 m³ = 3×5×m³

Prime factorization of 12 b² = 3×2×2×b²

Common = 3×5×m³×2×2×b²

= 60m³b²

So, the least common multiple of 15 m³ and 12 b² is equal to 60m³b².

Answer:

a = 3, b = - 2

Step-by-step explanation:

Given f(1) = 1 and f(2) = 5, that is

substitute x = 1 and equate to 1, substitute x = 2 and equate to 5

a + b = 1 → (1)

2a + \(\frac{b}{2}\) = 5 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate a

- 2a - 2b = - 2 → (3)

Add (2) and (3) term by term to eliminate a

0 - \(\frac{3}{2}\) b = 3

- \(\frac{3}{2}\) b = 3 ( multiply both sides by - \(\frac{2}{3}\) )

b = - 2

Substitute b = - 2 into (1)

a - 2 = 1 ( add 2 to both sides )

a = 3

Then a = 3 and b = - 2

Answer:

Concordat of 1801, agreement reached on July 15, 1801, between Napoleon Bonaparte and papal and clerical representatives in both Rome and Paris, defining the status of the Roman Catholic Church in France and ending the breach caused by the church reforms and confiscations enacted during the French Revolution .Step-by-step explanation:

Answer:

........

Step-by-step explanation:

The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.

To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:

= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)

= 10 balls.

Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.

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The polar coordinates for (-73√2, 72) are approximately (103.077, 6.017).

A. To convert the Cartesian coordinates (-72, 73√2) to polar coordinates (r, θ), we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the values, we have:

r = √((-72)^2 + (73√2)^2) ≈ 103.077

θ = arctan((73√2)/(-72))

Since the angle θ can be in the range 0 < θ ≤ 2π, we need to adjust the angle based on the quadrant of the Cartesian coordinates. In this case, the point lies in the third quadrant, so we add π to the angle obtained from the arctan function.

θ ≈ arctan((73√2)/(-72)) + π ≈ 3.267 + 3.141 ≈ 6.408

Therefore, the polar coordinates for (-72, 73√2) are approximately (103.077, 6.408).

B. To convert the Cartesian coordinates (-73√2, 72) to polar coordinates (r, θ), we can use the same formulas as before:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the values, we have:

r = √((-73√2)^2 + 72^2) ≈ 103.077

θ = arctan(72/(-73√2))

Similarly, since the point lies in the second quadrant, we add π to the angle obtained from the arctan function.

θ ≈ arctan(72/(-73√2)) + π ≈ 2.876 + 3.141 ≈ 6.017

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The image of ABC under the translation by 1 unit to the right and 4 units up is the triangle with vertices A', B', and C'.

A triangle is a closed two-dimensional geometric shape with three straight sides and three angles. It is one of the basic shapes in geometry and has been studied since ancient times. To translate a figure by a given vector, you need to move each point of the figure by the same amount and in the same direction as the vector. In this case, we want to translate ABC by a vector of (1, 4), which means we need to move each point of ABC one unit to the right and four units up.

Let's say the coordinates of the points of ABC are:

A = \(\rm (x_1, y_1)\)

B = \(\rm (x_2, y_2)\)

C = \(\rm (x_3, y_3)\)

To translate ABC by the vector (1, 4), we add 1 to each x-coordinate and 4 to each y-coordinate:

A' = \(\rm (x_1 + 1, y_1 + 4)\)   (x₁ + 1, y₁ + 4)

B' = \(\rm (x_2 + 1, y_2 + 4)\)   (x₂ + 1, y₂ + 4)

\(\rm C' = (x_3 + 1, y_3 + 4)\)  (x₃ + 1, y₃ + 4)

Therefore, The image of ABC under the translation by 1 unit to the right and 4 units up is the triangle with vertices A', B', and C'.

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Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.

What is an inverse?

The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.

We are given an equation as 9 = p/8.

In this equation,  we can see that the operation used is division.

We know that inverse of division is multiplication.

Hence, multiplication operation is the inverse of the one in the given equation.

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48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

Answer:

425.39

Step-by-step explanation:

9514 1404 393

Answer:

  22/44

Step-by-step explanation:

The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...

  P(black) = (black cards)/(total cards)

  P(black) = 22/44

_____

You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.