5 + X - 2x2

Answer this plz

To fcalculate the magnitude of the average force exerted on the ball by the club, we can use the equation:

F_av = Δp/Δt

where F_av is the average force, Δp is the change in momentum, and Δt is the time of contact.

Given:

Mass of the ball, m = 65.0 g = 0.065 kg

Time of contact, Δt = 0.00340 s

Final velocity of the ball, v_f = 56.0 m/s

Initial velocity of the ball, v_i = 0 (assuming the ball is initially at rest)

The change in momentum, Δp, can be calculated using the equation:

Δp = m * (v_f - v_i)

Substituting the given values:

Δp = 0.065 kg * (56.0 m/s - 0)

Now we can calculate the magnitude of the average force:

F_av = Δp/Δt

Substituting the values:

F_av = (0.065 kg * 56.0 m/s) / 0.00340 s

Calculating the result gives us:

F_av ≈ 1070 N

Therefore, the magnitude of the average force exerted on the ball by the club is approximately 1070 N.

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Answer: 37.5 \(\pi\)

Step-by-step explanation:

Since the radius is 10, the area of the whole circle is 10^2\(\pi\) = 100\(\pi \\\)

The sector is 135/360 = 3/8 area of the whole circle

3/8 * 100\(\pi\) = 37 1/2 \(\pi\) = 37.5 \(\pi\)

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

please mark brainliest

i need it for a new rank<3

Answer: n= −3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(4n+3)=−72

(8)(4n)+(8)(3)=−72(Distribute)

32n+24=−72

Step 2: Subtract 24 from both sides.

32n+24−24=−72−24

32n=−96

Step 3: Divide both sides by 32.

32n/32 = −96/32

n=−3

Answer:

n= -3

Step-by-step explanation:

32n+24=-72

(subtract 24)

32n=-96

(divide by 3)

n=-3

The required answer is lim(n→∞) (a_n/b_n) = lim (n→∞) ((2n + 2)/(n(n-1)(n-2))) / (1/n^2)

To use the Limit Comparison Test, we need to identify a series with known convergence properties that is similar to the given series. We can do this by finding bn in the following limit:

lim n→[infinity] (an/bn) = lim n→[infinity] (2n + 2)/(n(n − 1)(n − 2)) = L

To find bn, we need to look for a dominant term in the denominator that behaves similarly to n(n − 1)(n − 2). One such term is n^3, since it is the highest order term in the denominator. Therefore, we can set bn = n^3 and simplify the limit:

lim n→[infinity] (2n + 2)/(n(n − 1)(n − 2)) * (n^3)/(1) = lim n→[infinity] (2n + 2)/(n^4 - 3n^3 + 2n^2)

This limit can be evaluated using L'Hopital's Rule, which gives:

lim n→[infinity] (2n + 2)/(4n^3 - 9n^2 + 4n) = lim n→[infinity] (1/n^2)

Since the limit is a nonzero finite value, L = 1. By the Limit Comparison Test, the given series converges if and only if the series with general term bn = n^3 converges.

We know that the series with general term bn = n^3 is a p-series with p = 3, which converges since p > 1. Therefore, by the Limit Comparison Test, the given series also converges.

In summary, the given series is convergent.
To use the Limit Comparison Test, we first need to identify a simpler series b_n that we can compare the given series to. We are given the series an = (2n + 2)/(n(n-1)(n-2)). We can choose b_n = 1/n^2 since the highest degree in the numerator and denominator are the same.

Next, we'll calculate the limit L as n approaches infinity of the ratio a_n/b_n:
lim(n→∞) (a_n/b_n) = lim(n→∞) ((2n + 2)/(n(n-1)(n-2))) / (1/n^2)

To simplify the expression, we can multiply the numerator and denominator by n^2:
A divergent series is an infinite series that is not convergent, which means that the infinite sequence of the series partial sums has no finite limit.

lim (n→∞) ((2n + 2)n^2) / (n(n-1)(n-2))

Now, we'll divide each term by n^2 to simplify the limit expression:

lim (n→∞) (2 + 2/n) / ((1)(1-1/n)(1-2/n))

As n approaches infinity, the terms with n in the denominator approach 0:

lim (n→∞) (2) / (1) = 2

Since L = 2 is a finite positive number, the Limit Comparison Test tells us that the original series a_n converges or diverges based on the behavior of the series b_n. We know that the series b_n = 1/n^2 is a convergent p-series with p = 2, which is greater than 1. Therefore, the series b_n converges.
A series said to be convergent when  the limits of the series converges to the finite possible value for the series.
Since bn converges and L is a finite positive number, we can conclude that the original series a_n also converges according to the Limit Comparison Test.

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The weight of Keenan's paperweight is 340 grams using the volume of a pyramid given by V = (1/3)Bh.

To find the weight of Keenan's paperweight, we need to first find its volume. The volume of a pyramid is given by V = (1/3)Bh, where B is the area of the base and h is the height. Substituting the given values, we get:

V = (1/3)(80)(7.5) = 200 cm³

Next, we need to find the mass of the paperweight using the density of the clay. We know that density (p) is defined as mass (m) per unit volume (V), or p = m/V. Rearranging this equation, we get:

m = pV

Substituting the values, we get:

m = (1.7)(200) = 340 grams

Therefore, the weight of Keenan's paperweight is 340 grams.

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Answer:

LCM(24,30,40)=120.The Least common multiple for three numbers 24,30 and 40 is 120

Step-by-step explanation:

Answer:

18 shifts.

Step-by-step explanation:

If x is the number of shifts using:

25x + 150 = 600

25x = 600 - 150

25x = 450

x = 450/25

x = 18.

Answer:

5.y=5x-10+5x+1

y=10x-9

6.y=2x+12+2x+6

  y=4x+18

7.y=-2x-8-2x+10

 y=-4x+2

8.y=-4x-8-4x-12

  y=-8x-20

Answer:

i think vertical

Step-by-step explanation:

it is a vertical line at the bottom

Key features of a quadratic graph include the vertex, axis of symmetry, direction of opening, and intercepts.

When constants or coefficients are added to the parent quadratic equation, the graph undergoes translations.

In comparison to a linear function, quadratic graphs have a curved shape and are symmetric about their axis. Linear graphs, on the other hand, are straight lines and do not have a vertex or axis of symmetry.

\(\)

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

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The value of the leading coefficient a on the quadratic function is given as follows:

a = 1.

The quadratic function in the context of the problem is given as follows:

y = a(x - 3)² - 1.

From the graph, when x = 2, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(2 - 3)² - 1

a - 1 = 0

a = 1.

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Answer:

use a calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

(x₁, y₁) = (-2, 0)

(x₂, y₂) = (1, -3)

▹ Step-by-Step Explanation

y = x² - 4

y = -x - 2

x² - 4 = -x - 2

x = -2

x = 1

y = -(-2) - 2

x = 1

y = 0

y = -1 - 2

y = 0

y = -3

(x₁, y₁) = (-2, 0)

(x₂, y₂) = (1, -3)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

(-2,0) (1,-3)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.

The two graphs intersect at two different points  (-2,0) and at (1,-3)

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

The simplified form of the combination is (3n² - 5n + 3)/3

Now let's return to the problem at hand. We have the expression ⁿ⁺¹C₃ − ⁿ⁻¹C₃, which involves two combinations with slightly different values of n. To simplify this expression, we need to first expand each combination using the formula we just discussed.

Starting with ⁿ⁺¹C₃, we have:

ⁿ⁺¹C₃ = (n + 1)!/(3!(n - (3 + 1))!)

We can simplify this further by noting that (n - 4)! is the same as (n - 3 - 1)! and pulling out the common factors:

(n + 1)!/(3!(n - 4)!) = (n + 1)(n)(n - 1)/(3 x 2 x 1)

Next, let's expand ⁿ⁻¹C₃:

ⁿ⁻¹C₃ = (n - 1)!/(3!(n - (3 - 1))!)

Again, we can simplify by noting that (n - 2)! is the same as (n - 1 - 1)!:

(n - 1)!/(3!(n - 2)!) = (n - 1)(n - 2)(n - 3)/(3 x 2 x 1)

Now we can substitute these expressions back into the original equation:

ⁿ⁺¹C₃ − ⁿ⁻¹C₃ = (n + 1)(n)(n - 1)/(3 x 2 x 1) - (n - 1)(n - 2)(n - 3)/(3 x 2 x 1)

We can simplify this by finding a common denominator and combining like terms:

[(n + 1)(n)(n - 1) - (n - 1)(n - 2)(n - 3)]/(3 x 2 x 1)

Simplifying further, we can expand the terms:

[(n³ - n) - (n³ - 7n² + 11n - 6)]/(6)

Which gives us:

(6n² - 10n + 6)/6

We can simplify this by factoring out a 2 from each term in the numerator and denominator:

2(3n² - 5n + 3)/2(3)

And finally, we can cancel out the 2s to get:

(3n² - 5n + 3)/3

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Complete Question:

Simplify:  

ⁿ⁺¹C₃ − ⁿ⁻¹C₃

it will take approximately 7.57 years for the rabbit population to reach 2,123 rabbits.

To find the number of years it takes for the rabbit population to reach 2,123 rabbits, we can set the formula equal to 2,123 and solve for t:
2,123 = 400 e^(0.21t)
Dividing both sides by 400, we get:
5.3075 = e^(0.21t)
Taking the natural logarithm of both sides, we get:
ln(5.3075) = 0.21t
Solving for t, we get:
t = ln(5.3075) / 0.21
Using a calculator, we get:
t ≈ 7.57 years
Therefore, it will take approximately 7.57 years for the rabbit population to reach 2,123 rabbits. It is important to note that this is assuming the growth rate remains constant and there are no external factors, such as predation or resource availability, that could affect the population size.

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Answer: -0.619

Step-by-step explanation:

Answer:

(-6, 4), (-5, -4), and (3, 5)

Step-by-step explanation:

1 unit left = -1 to x

2 units up = +2 to y

T(x-1,y+2)

(-5,2) -> (-6,4)

(-4,-6) -> (-5,-4)

(4,3) -> (3,5)

The given fraction can also be simplified as 4/5.8 shaded sections out of a total of 10 sections represent 0.8 in decimal form.The model with 8 shaded sections and 2 unshaded sections is shown below:Model with 8 shaded sections and 2 unshaded sections.

As we see in the image, the model with 8 shaded sections and 2 unshaded sections shows that there are a total of 10 sections. Out of these 10 sections, 8 are shaded and 2 are unshaded. Hence, the shaded sections represent the numerator and the total sections represent the denominator of the equivalent fractions.So, the equivalent fractions for the given model are:8 shaded sections out of total 10 sections, which is written as 8/10 in fraction form, and eight-tenths in words. The given fraction can also be simplified as 4/5.8 shaded sections out of a total of 10 sections represent 0.8 in decimal form.

To find the equivalent forms of the number shown in the model with 8 shaded sections and 2 unshaded sections, follow the steps given below:Step 1: Write the fraction equivalent of the given modelTo find the equivalent fraction, divide the shaded sections by the total number of sections.The number of shaded sections is 8.The total number of sections is 10.The fraction equivalent for the given model is:8/10

Step 2: Write the decimal equivalent of the fraction obtained in step 1To find the decimal equivalent, divide the numerator by the denominator.8 ÷ 10 = 0.8So, the decimal equivalent of the given model is 0.8.

Step 3: Write the word form of the fraction obtained in step 1The word form of 8/10 is "Eight-tenths".Hence, the equivalent forms of the number shown in the model are:Word: Eight-tenthsFraction: 8/10Decimal: 0.8.

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Answer: x=8 ==> A

Step-by-step explanation:

15x-6=114     ==> both angles are congruent angles, so they're equal

15x-6+6=114+6

15x=114+6

15x=120

15x/15=120/15

x=120/15

x=8 ==> A

Answer:

12in

Step-by-step explanation:

2r = 24

r = 12

Answer:

12 in.

Step-by-step explanation:

The radius is half of the diameter.

r = d/2

r = 24/2

r = 12

Answer:

line AB is parallel to line CD

Step-by-step explanation:

Because they have the same gradient which is 2

Answer:

304 IN

Step-by-step explanation:

total inches needed for necklace : 38 x 5 = 190

total inches needed for necklace : 38 x 3 = 114

190 + 114 = 304 inches

Answer:

1. write

2. distribute

3. combine

4. subtract

5. divide