(SAT Prep) Find the value of x.

Step-by-step explanation:

r=21cm

a=135

perimeter=2r+ar

=2×21+135×21

=42+2835

=2877cm

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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letter of i's/number of letters in the word

3/14

Answer:

x^2 - 2x/ 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the hypotenuse is 6

a2 + b2 = c2

3 + b2 = 6

3(2) is 9

6(2) is 36

36-9 = 27

√27 = 3√3

Answer: 39.5

Step-by-step explanation:

The triangle is isosceles, therefore the base angles of the triangle are congruent. We know the sum of a triangle is 180 degrees.

so,

\(x^{2} + 101 = 180\\x^{2} = 79\\x = 39.5 \\\)

so the measure of angle MNL is 39.5 degrees

Answer: 7 containers of flowers (Option B)

Step-by-step explanation:

      Hi there! Let's pull out the information we know.

[] They paid $38.50

[] Flowers cost $4.50 per container

[] Dirt costs $7.00 per bag

[] They bought one bag of dirt

      Since we know they bought one bag of dirt, we will subtract 7 from 38.5. In other words, the cost of dirt is subtracted from the total amount of money spent.

38.5 - 7 = 31.5

      What does this number mean? It means they spent $31.50 on containers of flowers.

      Since we know that flowers are $4.50 per container, we can divide $31.50 by $4.50 to find how many containers of flowers were bought.

31.50 / 4.50 = 7

      They bought 7 containers of flowers.

The number of one-to-one functions from f from the set {1,2,... , n} to the set {1,2,... , n} so that f(x) = x for some 1 ≤ x < n and f(n) ≠ n is \((n-1) * (n-1)! * n * (n-1)^{(n-1)}\).

To count the number of one-to-one functions satisfying the given conditions, we can break it down into two cases:

Case 1: f(x) = x for some 1 ≤ x < n

In this case, we have (n-1) choices for the value of x. Once we select x, we can assign any value from {1, 2, ..., n} except x to f(n) since f(n) ≠ n. So, there are (n-1) choices for f(n). The remaining (n-2) elements can be assigned to any of the remaining (n-2) elements. Thus, the number of such functions for this case is (n-1) * (n-1)!

Case 2: f(n) ≠ n

In this case, we have n choices for the value of f(n) since it can take any value from {1, 2, ..., n-1}. For the remaining (n-1) elements, we have (n-1) choices for each element since f(x) cannot be equal to x. Thus, the number of such functions for this case is \(n * (n-1)^{(n-1)}\).

To find the total number of functions satisfying both cases, we need to multiply the number of functions from each case. Therefore, the total number of such functions is:

Total = \((n-1) * (n-1)! * n * (n-1)^{(n-1)}\)

Note: The symbol "!" denotes the factorial function, which means multiplying all positive integers from 1 to that number. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

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Answer:

$79.7468

Step-by-step explanation:

The required answer of the word problem is the machine requires 0.051 hours to make 612000 aluminum cans.

The given question is a word problem which can be calculated as,

A machine working at a constant rate makes 3313 aluminium cans in one second.

Therefore, one aluminum can be produced in = 1/ 3313 seconds.

The machine makes 612000 aluminum cans.

Thus, 612000 aluminum cans can be produced in = (612000)*(1/3313) seconds = 184.7268336855 seconds

= 184. 72 seconds (approximately up to two decimal places)

We can convert the value in seconds to hours of the  given  problem as,

There are 3600 seconds in one hour.

That is, one second = 1/3600 hours.

Thus, the machine makes 612000 cans in = (184.72)*(1/3600) hours

= 0.0513111111 hours

= 0.051 hours ( approximately up to three decimal places)

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Answer:

a = -3

Substitute...

3 (-3)^2

3 • (-3)(-3)

3 • 9 = 27

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

Given the graph, we are asked to find the equation of the parabola. This can be seen below.

Explanation

The equation of a parabola given in vertex form is

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. In this case, the vertex is at the point (1,-2)

Therefore, we will substitute the vertex parameters into the equation of the parabola.

To get the constant "a" we will pick a point from the graph and substitute it into the formula.

If we pick a point, let say (-3,2) we will have

Therefore, the equation will become;

Answer:

\(8a - 2b + 5a + 1b - 6 \\ \\ = 13a - 1b - 6 \\ \\ \huge \fbox{Option C} \)

\(Hope This Helps You ❤️\)

Answer:

C) 13a - 1b - 6

Step-by-step explanation:

8a + 5a = 13a

-2b + 1b = -1b

-6 is fine on its own.

Put it all together: 13a -1b -6

Hope this helps, good luck! :D

Answer:

Hypotenuse = 8.94

Step-by-step explanation:

The diameter of the Ferris wheel is equal to 95 ft.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a function that models the height of a seat on a Ferris wheel after [t] minutes.

We have the following function -

f(t) = 95 cos(π/10)t

The diameter of the Ferris wheel would be the maximum height reached by the wheel. We have -

f(t) = 95 cos[(π/10)t]

df/dt = 95 x - sin[(π/10)t] x (π/10)

df/dt = -(95π/10) sin[(π/10)t]

For maximum height -

df/dt = 0

- (95π/10) sin[(π/10)t] = 0

sin[(π/10)t] = 0

sin[(π/10)t] = sin (0)

(π/10)t = 0

t = 0

Put t = 0, in f(t) = 95 cos[(π/10)t], we get -

f(max) = 95 cos(0) = 95 ft

Therefore, the diameter of the Ferris wheel is equal to 95 ft.

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Answer: Option C (190 ft)

Step-by-step explanation:

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

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The upper Darboux integral of the function f(x) = x over the interval [0,1] is 1 and the lower Darboux integral is 0.

To find the upper Darboux integral, we consider the supremum of the lower sums of f(x) over all possible partitions of the interval [0,1]. Since f(x) = x is a strictly increasing function, the lower sum for any partition will be equal to 0. Therefore, the supremum of the lower sums is also 0, giving us the lower Darboux integral. To check if f(x) is Riemann integrable on [0,1], we compare the upper Darboux integral and the lower Darboux integral. If they are equal, then f(x) is Riemann integrable. In this case, since the upper Darboux integral and the lower Darboux integral are different (1 and 0, respectively), f(x) is not Riemann integrable on [0,1].

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Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

What is answer parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.

Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

these are 8 parallel lines

2x+3y = 6

2x+3y = 4

2x+3y = 1

2x+3y = 2

2x+3y = 3

2x+3y = 8

2x+3y = 7

2x+3y = 5

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Answer:

3.45782 x 10^4

Step-by-step explanation:

Answer:

If applying the 20% off coupon and the 10% coupon it would be separate. This would be different than a 30% coupon

Step-by-step explanation:

Let's say you are taking 20% off of $100, doing that would reduce the price to $80 because you took off $20, after this you would apply the 10% off coupon to the $80, your total would be 72 now because 10% of 80 is 8. The 20% Coupon and the 10% coupon stacked would bring your total to $72. If you flat out took 30% out of 100 dollars you would be left with $70 compared to the $72 that you got with the 20% coupon and the 10% coupon.

20% + 10% would remove less than a 30% coupon because after applying the 20% coupon, your 10% coupon would remove less because of the lower number being subtracted. Hope this helps

The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

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Answer:

22 + h = 53

Step-by-step explanation:

I don't know if I am correct

Answer:

The answer is 31, H=31

Step-by-step explanation:

53-22=31 :)

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

The exact values of cosecant, secant, and cotangent ratios of -pi/4 radians is:

\(csc=\frac{\pi }{4}=\frac{hypontenuse}{opposite}=\frac{\sqrt{2} }{1}=\sqrt{2}\)

\(sec=\frac{\pi }{4}=\frac{hypotenuse}{adjacent}= \frac{\sqrt{2} }{1}=\sqrt{2}\)

\(cot=\frac{\pi }{4}=\frac{adjacent}{opposite}=\frac{1}{1}=1\)

\(\frac{\pi }{4}\) radians is the same as 90 degrees. So, first draw a right triangle with an angle of \(\frac{\pi }{4}\):

This creates a 45-45-90 triangle, also known as a right isosceles triangle. This is a very special triangle, and we know that both of its legs will be the same length, and the hypotenuse will be the length of one of the legs times √2.

The  three functions are just the inverses of the first three. Cosecant is the inverse of sine, secant is the inverse of cosine, and cotangent is the inverse of tangent.

\(csc=\frac{\pi }{4}=\frac{hypontenuse}{opposite}=\frac{\sqrt{2} }{1}=\sqrt{2}\)

\(sec=\frac{\pi }{4}=\frac{hypotenuse}{adjacent}= \frac{\sqrt{2} }{1}=\sqrt{2}\)

\(cot=\frac{\pi }{4}=\frac{adjacent}{opposite}=\frac{1}{1}=1\)

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Explanation:

If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.

When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.

Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees

Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.

Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees

Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.