PLEASE HELPP

Linus wants to have 500 copies of his resume printed. His local print shop charges $18.50 for the first 200 copies and $9 for every 100 additional copies. How much will the 500 copies cost?

A)$46.25
B)$45.50
C)$45.00
D)$46.00

The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.

Let's denote:

A: Playing varsity sports

B: Playing a team sport

We are given:

P(B) = 43% = 0.43 (Probability of playing a team sport)

P(A) = 21% = 0.21 (Probability of playing varsity sports)

We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.

The conditional probability formula is:

P(A|B) = P(A ∩ B) / P(B)

P(A ∩ B) represents the probability of both A and B occurring simultaneously.

In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.

Now we can calculate P(A|B):

P(A|B) = P(A ∩ B) / P(B)

       = 0.21 / 0.43

      ≈ 0.4884

Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

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To determine the elasticity, we need to differentiate both sides of the equation with respect to x and then multiply by (x/y):

Differentiating the equation with respect to x:

3.45 * d/dx(log(y)) = 87.6 * d/dx(log(x))

Using the property of logarithmic differentiation, we have:

3.45 * (1/y) * dy/dx = 87.6 * (1/x) * dx/dx

Simplifying and rearranging the equation:

(1/y) * dy/dx = (87.6/3.45) * (1/x)

(1/y) * dy/dx = 25.43/x

Multiplying both sides by (x/y):

dy/dx = (25.43/x) * (x/y)

dy/dx = 25.43/y

The elasticity is given by the ratio of the derivative of y with respect to x to the ratio of y to x. In this case, the elasticity is:

Elasticity = dy/dx * (x/y)

Substituting the value we obtained for dy/dx:

Elasticity = (25.43/y) * (x/y)

Elasticity = 25.43 * (x/y^2)

Therefore, the elasticity is given by 25.43 times the ratio of x to y squared.

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The perimeter of the rhombus LMNO is 48  units

In the rhombus LMNO,

The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON

Then,

The length of the side LM = 3x - 3

The length of the side MN = x + 7

Both are equal, then the equation will be

3x - 3 = x + 7

Group the like terms

3x - x = 7 + 3

2x = 10

x = 10 /2

x = 5

Substitute the value  in second equation

x + 7 = 5 + 7

= 12 units

The perimeter of the LMNO = 4 × 12

= 48 units

Hence, the perimeter of the rhombus LMNO is 48  units

The complete question is

What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units

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Answer:

233.48s  

3.84 min

Step-by-step explanation:

In order to solve this problem, we can start by drawing what the situation looks like. See attached picture.

We can model this situation by making use of a trigonometric function. Trigonometric functions have the following shape:

\(y=A cos(\omega t+\phi)+C\)

where:

A= amplitude =-20m because the model starts at the lowest point of the trajectory.

f= the function to use, in this case we'll use cos, since it starts at the lowest point of the trajectory.

t= time

\(\omega=\) angular speed.

in this case:

\(\omega=\frac{2\pi}{T}\)

where T is the period, in this case 6 min or

\(6min(\frac{60s}{1min})=360s\)

so:

\(\omega=\frac{2\pi}{360}\)

\(\omega = \frac{\pi}{160}\)

and

\(\phi\)= phase angle

C= vertical shift

in this case our vertical shift will be:

2m+20m=22m

in this case the phase angle is 0 because we are starting at the lowest point of the trajectory. So the equation for the ferris wheel will be:

\(y=-20 cos(\frac{\pi}{180}t)+22\)

Once we got this equation, we can figure out on what times the passenger will be higher than 13 m, so we build the following inequality:

\(-20 cos(\frac{\pi}{180}t)+22>13\)

so we can solve this inequality, we can start by turning it into an equation we can solve for t:

\(-20 cos(\frac{\pi}{180}t)+22=13\)

and solve it:

\(-20 cos(\frac{\pi}{180}t)=13-22\)

\(-20 cos(\frac{\pi}{180}t)=-9\)

\(cos(\frac{\pi}{180}t)=\frac{9}{20}\)

and we can take the inverse of cos to get:

\(\frac{\pi}{180}t=cos^{-1}(\frac{9}{20})\)

which yields two possible answers: (see attached picture)

so

\(\frac{\pi}{180}t=1.104\) or \(\frac{\pi}{180}t=5.179\)

so we can solve the two equations. Let's start with the first one:

\(\frac{\pi}{180}t=1.104\)

\(t =1.104(\frac{180}{\pi})\)

t=63.25s

and the second one:

\(\frac{\pi}{180}t=5.179\)

\(t=5.179(\frac{180}{\pi})\)

t=296.73s

so now we can build our possible intervals we can use to test the inequality:

[0, 63.25]  for a test value of 1

[63.25,296.73] for a test value of 70

[296.73, 360] for a test value of 300

let's test the first interval:

[0, 63.25]  for a test value of 1

\(-20 cos(\frac{\pi}{180}(1))+22>13\)

2>13 this is false

let's now test the second interval:

[63.25,296.73] for a test value of 70

\(-20 cos(\frac{\pi}{180}(70))+22>13\)

15.16>13 this is true

and finally the third interval:

[296.73, 360] for a test value of 300

\(-20 cos(\frac{\pi}{180}(300))+22>13\)

12>13 this is false.

We only got one true outcome which belonged to the second interval:

[63.25,296.73]

so the total time spent above a height of 13m will be:

196.73-63.25=233.48s

which is the same as:

\(233.48(\frac{1min}{60s})=3.84 min\)

see attached picture for the graph of the situation. The shaded region represents the region where the passenger will be higher than 13 m.

Answer:

Step-by-step explanation:

As the derivative of a constant is zero, any constant may be added to an indefinite integral (i.e., antiderivative) and will still correspond to the same integral.

Different way of stating this is that the antiderivative is a nonunique inverse of the derivative. For this reason, indefinite integrals are often written in the form

intf(x)dx=F(x)+C,

Therefore, C is an arbitrary constant known as the constant of integration.

The Wolfram Language returns indefinite integrals without constants of integration. This means that, depending on the form used for the integrand, antiderivatives F_1 and F_2 can be obtained that differ by a constant.

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Answer:

the one you click is correct.

Step-by-step explanation:

Answer:

43 knots

Step-by-step explanation:

43 bro

hope dat helps

Answer:14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

Answer:600

Step-by-step explanation:

300,000/ 500 =600

The percentage decrease in the number of pens is 88%. This means that 88% of the initial quantity of pens are still usable, while 12% are faulty.

To calculate the percentage decrease, we need to find the difference between the initial quantity and the faulty quantity, and then express it as a percentage of the initial quantity.

Initial quantity = 5000 pens

Faulty percentage = 12%

Number of faulty pens = 12% of 5000 = (12/100) ˣ 5000 = 600 pens

The decrease in quantity = Initial quantity - Faulty quantity = 5000 - 600 = 4400 pens

Percentage decrease = (Decrease in quantity / Initial quantity) ˣ 100

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Step-by-step explanation:

x = length

y = width

x×y = 48 ft²

y = x - 2

using the second in the first equation we get

x × (x - 2) = 48

x² - 2x - 48 = 0

we can solve this quickly by finding the factors of -48 that are only 2 apart in their absolute value, and the negative factor must be 2 larger in its absolute value than the positive one.

simply because

(a + b)(a - c) = a² - ac + ab - bc

-bc = -48

-ac + ab = -2x

a = x

-c + b = -2

and so we see, 48 = 6×8 (2 difference between the factors).

the larger number must be negative, so, -8×6

and we get

(x + 6)(x - 8)

therefore, the solutions are

x = -6 and x = 8

a negative length does not makes sense here, so x = 8 is or solution.

the length of the garden is 8 ft.

the width is 8 - 2 = 6 ft.

The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Answer:

-7°F

Step-by-step explanation:

At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.

Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, which demonstrated the division of the country, and this led to the breakdown of the Union in 1861. The election of 1860 demonstrated the deep political, social, and economic divisions that had existed in the country since the time of the founding fathers and how these divisions could lead to the collapse of the government itself.The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, who was defeated by Abraham Lincoln, who was the candidate of the Republican Party. The election of 1860 was the first in which the Democratic Party had split into two, and as a result, the party was unable to present a united front. The election also saw the rise of the Republican Party, which was a party that was strongly opposed to the extension of slavery into the western territories. The Republican Party had been formed in 1854, in opposition to the Kansas-Nebraska Act, which had allowed the people in the western territories to decide for themselves whether or not to allow slavery. The Republican Party had quickly become the party of the North, and the party's platform was focused on protecting the interests of the North, and opposing the interests of the South.The election of 1860 demonstrated how the country was deeply divided, and how this division could lead to the breakdown of the government itself. The election was followed by a series of events that led to the secession of the southern states, and the subsequent Civil War. The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

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The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.

The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),

R(θ) = V₀²sin2θ/32

The given function in dependent on theta θ,

The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,

R(θ) = V₀²sin2θ/32

putting R(θ) equal to 129,  V₀ = 80ft/s,

129 = (80)²sin2θ/32

sin2θ = (129 x 32)/(80 x 80)

sin2θ = 0.645

Hence,

θ = 7/100π

so, the projectile should be launched at angle of 7/100π.

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The total length of craft wire used by Samantha is 10x + 9

What is the scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Let's call the length of the smaller quadrilateral's 6-centimeter side "x".

Then the length of the corresponding side in the larger quadrilateral would be 6+3=9 centimeters, since the scale factor is 3.

To find the total length of craft wire used, we need to add up the lengths of all the sides in both quadrilaterals.

The smaller quadrilateral has four sides, each with a length of x.

The larger quadrilateral also has four sides, but only one of them has a different length (9 cm), while the other three sides are simply 3 times longer than the corresponding sides in the smaller quadrilateral.

So the total length of craft wire used by Samantha is:

4x + 9 + 3x + 3x + 3x

Simplifying this expression, we get:

10x + 9

Hence,  the total length of craft wire used by Samantha is:

10x + 9

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The probability that the two cards drawn are of different suits is approximately 0.3744 or 37.44%.

The probability that the first card drawn is of a particular suit (say hearts) is 13/52, because there are 13 hearts in the deck. The probability that the second card drawn is of a different suit (say diamonds) is 39/52, because there are 13 cards in each of the three remaining suits.

So, the probability that the first card is a heart and the second card is a diamond is (13/52) × (39/52) = 507/2704.

Similarly, the probability that the first card is a diamond and the second card is a heart is also (13/52) × (39/52) = 507/2704.

The probability that the two cards are of different suits is the sum of these two probabilities:

(507/2704) + (507/2704) = 1014/2704 ≈ 0.3744

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Question

Assuming you are drawing from a standard deck of 52 cards with 13 cards in each of the 4 suits (hearts, diamonds, clubs, and spades), the probability that the two cards drawn are of different suits can be calculated as follows:

The number of possible requests for free samples is 5^1 = 5. This means that the customer has 5 different requests that they can make for free samples.

The number of possible requests for free samples can be calculated using the combination formula. The combination formula is used to calculate the number of combinations with repetitions of size “n” taken from a set of “r” elements . The formula is: \(C(n,r) = n^r\) In this case, n = number of requests (1 request) and r = number of free samples offered (let’s say, 5). Therefore, the number of possible requests for free samples is\(5^1 = 5.\)This means that the customer has 5 different requests that they can make for free samples.

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Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

The monthly payment to pay off a $3800 balance on a credit card with a 16% APR in 1 year is $316.67. When the card is paid off, the total amount paid since January will be $3,800, with 0% of the payment being interest.

To calculate monthly payments, we need to determine the number of months required to pay off the card. Since the goal is to pay off the balance in 1 year, or 12 months, the monthly payment can be calculated by dividing the balance by the number of months. In this case, the monthly payment would be $316.67 ($3800/12).

To calculate the total amount paid since January, we multiply the monthly payment by the number of months. In this case, the total amount paid would be $3,800, as the balance is paid off in full.

To determine the percentage of the total payment that is interest, we need to calculate the total interest paid. This can be done by subtracting the initial balance from the total amount paid. In this case, the total interest paid would be $0 since the balance is paid off completely. Therefore, the percentage of the total payment that is interest is 0%.

In summary, the monthly payment to pay off a $3800 balance on a credit card with a 16% APR in 1 year is $316.67. When the card is paid off, the total amount paid since January will be $3,800, with 0% of the payment being interest.

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The number of minutes used when both charges are the same is 250 minutes.

Let's assume the number of minutes used for local calls is represented by "m".

For the first telephone company, the total cost is the monthly fee of $20 plus $0.05 per minute:

Total cost for Company 1 = $20 + $0.05m

For the second telephone company, the total cost is the monthly fee of $25 plus $0.03 per minute:

Total cost for Company 2 = $25 + $0.03m

We want to find the number of minutes used when the total costs for both companies are the same. Therefore, we can set up an equation:

$20 + $0.05m = $25 + $0.03m

To solve for "m", we can simplify the equation by moving all terms with "m" to one side of the equation:

$0.05m - $0.03m = $25 - $20

0.02m = $5

Now, we can solve for "m" by dividing both sides of the equation by 0.02:

m = $5 / 0.02

m = 250

Therefore, the number of minutes used when both charges are the same is 250 minutes.

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The answer of the equation "2x^2 -  4x - 6 =  0" is -1 and 3.

The equation is solved using factorization:

2x^2 -  4x - 6 =  0        , given equation

2x^2 -  6x + 2x - 6 =  0     , factorizing

2x(x - 3) + 2 ( x - 3 ) = 0    , taking 2x common from the first two terms and 2 common from the last two terms

(2x + 2) (x - 3) = 0

now solving further

( 2x + 2 ) = 0   &   ( x - 3 ) =0

2x = (0 - 2)    ,          x  = (0 +  3)

2x = (-2)        ,         x = 3

x = (-2/2)

x = -1

Thus, the equation gives the solution as x = -1 and x = 3.

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Answer:

The length of the side DE is approximately 541.3 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that \(\frac{sin(90^{o})}{x} =\frac{sin(10^{o})}{94}\) ⇒ \(\frac{x}{sin(90^{o})} =\frac{94}{sin(10^{o})}\) ⇒ \(x = \frac{94*sin(90^{o})}{sin(10^o)}\) ⇒ \(x=541.3ft.\)