I need help on this!

Answer: Assume p to be the number of players, then, the equation which describes this problem is,

844.50+ 68 p = 1592.50844.50+68p=1592.50

68 p = 74868p=748

p = 11p=11.

The number of players, the team can bring to the tournament are 11.

Step-by-step explanation:

Answer: They can bring 11 players to the tournament.

Step-by-step explanation:

$1592.50 - $844.50= $748

Divide $748 by $68, then you will get 11. And 11 will be the answer.

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer:

g(3)= -1

Step-by-step explanation:

from the graph f(3)= -1

so, g(3) = -4 * (-1) + 7 = 12

Answer:

In December, Zalma will have $480.

Step-by-step explanation:

The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.

The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.

It's not confirmed, but it's what I got. :D

which location would the selected items BEST fit on the nuclear energy diagram

Tt as a matrix transformation can be write as [5 -1]

                                                                    [3 -5]

A linear transformation is a function between two vector spaces that preserves addition and scalar multiplication. In other words, if T is a linear transformation from vector space V to vector space W, then for any vectors u and v in V and any scalar c, the following properties hold:

To write tt as a matrix transformation, we need to determine the images of the standard basis vectors [1 0] and [0 1] under tt. We can then write tt as a matrix with these images as its columns.

We have:

t([-1 -2]) = [5 3]

t([3 4]) = [-1 -5]

Therefore, the matrix representation of tt is:

[5 -1]

[3 -5]

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Answer:

5 seats

Step-by-step explanation:

if I'm getting the right idea, the seats are NOT enough

since the number of arrangement of 10 people in a row is

10! = 3628800 which is a lot larger than 30240.

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

Let number of seats be

10PX = 30240

\(\frac{10!}{(10-X)!}\) = 30240

(10-X)! = \(\frac{10!}{30240}\)

(10-X)! = 120

(10-X)! = 5!

10-X = 5

X = 5

Answer:

75 degrees maybe.......

Answer:

75 degrees

Step-by-step explanation:

the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.

and because it is measured against a line, where we have a total of 180 degrees for angles, we have

exterior angle = 180 - interval angle = 180-105 = 75

A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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The radius of the wetted area expanding when the radius is 183 mm is 0.0061 m/s.

The formula for the area of a circle can be used to calculate the rate at which the radius of the wetted region is expanding:

A = πr²,

where A represents area and r represents radius.

By separating the two sides of the equation in relation to time (t), we obtain:

dA/dt = 2πr(dr/dt).

Given that dA/dt = 7 mm²/s, the following values can be substituted:

7 = 2π(183)(dr/dt).

Now that we know the pace at which the radius is expanding, we can solve for dr/dt:

dr/dt = 7 / (2π * 183).

As a result of computing this value,

dr/dt ≈ 0.006067 (rounded to four decimal places).

As a result, at a radius of 183 mm, the radius of the wetted region is expanding at a rate of about 0.0061 m/s.

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Answer: \(\frac{1}{16}\)

Step-by-step explanation:

1. Original Equation: \(4^4(4^-^7)(4)\)

2.Simplify: \(4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\\)

3.Apply exponent rule: \(4^4^-^7^+^1\)

4. Simplify: \(4^-^2\\\)

5.Apply exponent rule: \(\frac{1}{4^2}\)

6.Simplify: \(\frac{1}{16}\)

The value of ∫20 x⋅f′(x)dx is 3, thus the answer is not listed among the options (A) 3, (B) 6, (C) 10, or (D) 17.

To find the value of ∫20 x⋅f′(x)dx, we can use integration by parts. Let's denote F(x) as the antiderivative of f(x), so F'(x) = f(x).

Using integration by parts, we have:

∫ x⋅f′(x)dx = x⋅F(x) - ∫ F(x)dx

Now, we need to evaluate this expression over the interval [0, 2]:

∫20 x⋅f′(x)dx = [x⋅F(x)]20 - ∫20 F(x)dx

Plugging in the given values f(0) = 1 and f(2) = 5, we can determine the expression for x⋅F(x) over the interval [0, 2]:

x⋅F(x) = x⋅[F(x) - F(0)] = x⋅[F(x) - F(0)] = x⋅[∫0x f(t)dt - 1]

Now, let's evaluate the expression:

∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - ∫20 F(x)dx

Applying the Fundamental Theorem of Calculus, we know that ∫20 F(x)dx = F(2) - F(0).

Therefore:

∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - (F(2) - F(0))

Now, we are given that ∫20 f(x)dx = 7, so we can rewrite the expression as:

∫20 x⋅f′(x)dx = [x⋅[∫0x f(t)dt - 1]]20 - (F(2) - F(0)) = [x⋅[7 - 1]]20 - (F(2) - F(0))

Simplifying further:

∫20 x⋅f′(x)dx = [x⋅[6]]20 - (F(2) - F(0)) = 6 - (F(2) - F(0))

Now, plugging in the values f(0) = 1 and f(2) = 5, we can evaluate F(2) - F(0):

∫20 x⋅f′(x)dx = 6 - (F(2) - F(0)) = 6 - (5 - 1) = 6 - 4 = 2

Therefore, ∫20 x⋅f′(x)dx equals 2.

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Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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Answer:

Step-by-step explanation:There are two variables which are x and u so it doesn't seem possible to solve.Kindly re-write the question

Answer:

Step-by-step explanation:

\(\tan67=\frac{x}{14}\\x=14\tan{67\)

The future value of the annuity due is $1,848.20, rounded to the nearest cent.

To find the future value of an annuity due of $1,000 paid at the beginning of each 6-month period for 5 years, we can use the formula:

\(FV = Pmt x ((1 + r/m)^n - 1) x (1 + r/m)\)

where:

Pmt is the payment amount, which is $1,000 in this case

r is the interest rate per year, which is 6%

m is the number of compounding periods per year, which is 2 since interest is compounded semiannually

n is the total number of compounding periods, which is 10 since there are 5 years and interest is compounded semiannually

(1 + r/m) is the interest factor

Substituting the values, we get:

\(FV = $1,000 x ((1 + 0.06/2)^10 - 1) x (1 + 0.06/2)\)

= $1,000 x \((1.06^{10\) - 1) x 1.03

= $1,000 x 1.79155 x 1.03

= $1,848.20

Therefore, the future value of the annuity due is $1,848.20, rounded to the nearest cent.

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The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

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a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

c = 16

Step-by-step explanation:

We have (a + b)² = a² + 2ab + b²

x² + 8x + c is of the form a² + 2ab + b²

where x² = a²

8x = 2ab

and c = b²

⇒ x² + 8x + c = (x + √c)² which is a perfect square

x² = a² ⇒ x = a

8x = 2ab

⇒ 8x = 2xb

⇒ b = 8x/(2x)

⇒ b = 4

c = b²

⇒ c = 4²

⇒ c = 16

(x + √c)² = (x + √16)²

= (x + 4)²

= x² + 2(x)(4) + 4²

= x² + 8x + 16

Therefore, c = 16 makes the expression a perfect square

Solution:

We know that:

Let's substitute the length, width, and height in the expression to find the volume.

Answer:

56

Step-by-step explanation:

trust me i failed that test and reviewed it

Answer:

9/4y+10

Step-by-step explanation:

1/4y+10+2y

9/4y+10

unless u meant y^2 then the answer would be

0.25(y+40+4y^2)

Answer:

101

Step-by-step explanation:

41+38=79

180-79=101

Hi! The series you provided is ∑(1/n), which is a harmonic series. To determine its convergence or divergence, you can use the Integral Test. However, in this case, it's already well-known that the harmonic series diverges, meaning the sum approaches infinity as n goes to infinity.

The series ∑ 1/n is the harmonic series, which is a classic example of a series that diverges. One way to show this is to use the Integral Test, which states that if the function f(x) is positive, continuous, and decreasing for x ≥ 1, then the series ∑ f(n) and the integral ∫ f(x) dx both converge or both diverge.

In this case, we can let f(x) = 1/x and integrate from 1 to infinity:

∫(1/x) dx = ln|x| from 1 to infinity

Since ln|x| approaches infinity as x approaches infinity, the integral diverges, which means that the series also diverges by the Integral Test. Therefore, we can conclude that the series ∑ 1/n diverges.

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We have 390 and we want to find the number thart multiplied by it, will result in 390,000

If we count how many zeros of diffrence between 390 and 390,000 we have, we will notice that:

Therefore, the solution should be 1,000 because:

390 * 1,000 = 390,000

This is the solution we are looking for. Correct answer is B.

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

An example of an even function is f(x) = x² and odd function if f(x) = x³

An even function is a function that is symmetric about the y-axis, meaning that f(-x) = f(x) for all x in the domain of the function. An odd function is a function that is antisymmetric about the origin, meaning that f(-x) = -f(x)

for all x in the domain of the function. This function is symmetric about the y-axis, and f(-x) = (-x)^2 =  x² = f(x) for all x. An example of an odd function is f(x) = x³. This function is antisymmetric about the origin, and f(-x) = (-x)^3 = -x³ = -f(x) for all x.

It's important to note that not all functions are even or odd. Some functions can be neither even nor odd. Even and odd functions have specific properties that make them useful in solving problems in various fields such as physics and engineering.

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Answer:

Step-by-step explanatio

Answer:

It's the second answer

Step-by-step explanation:

For 4 games on thursday you pay $16 while on saturday you pay $18. If you need a better explanation I can give it to you.

Answer:

b

Step-by-step explanation:

boxes tend to be heavier

Answer:

65,000 grams

Step-by-step explanation:

Because 1000 grams is in 1 kilogram, you would multiply the 65 kilograms by 1,000 to convert it to grams.

So to convert 65 kilograms to grams you would do:

65 * 1,000 = 65,000 grams