CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)

Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1)   describes the net gravitational force acting on Ify.

We can find the magnitude of  g, using the Pythagorean theorem.

Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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The answer is A) 10,000,000 seven-digit numbers; B) The number is  20,000 ; C)  5,314,410 identification numbers are possible if no two adjacent digits are the same.

Seven-digit identification number:

A.) The number of possible identifying numbers

Possible digits are 0 up to 9.

Total number of digits: 10

Any of the 10 digits may be used for each;

Hence,

10×10×10×10×10×10×10 equals 10,000,000 potential outcomes.

B.) For it to start begin with either 023 and 003.

- the first digit must be 0 (1 possible value)

- 2nd digit must be 2 or 0 (2 possible values)

- 3rd digit must be 3 (1 possible value)

- 4th and 5th can be filled with any digit (10 × 10 possible values)

Which gives

1×2×1×10×10×10×10 = 20,000

3.) no two adjacent digits are the same that is no two digits that follows each other are the same.

In this case only one digit have 10 possible values.

The other four digits have 9 possible values each.

Which gives:

10×9×9×9×9×9×9 = 10× \(9^{6}\) = 5,314,410

The full question:

A certain identification number is a sequence of seven digits. (a) How many identification numbers are possible? (b) How many of them begin with either 023 or 003? (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-4-567 is permitted, but not 123-3-456.).

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Answer:

To find the mean, add up all the values and then divide by the number of values. The median is the value that is exactly..

The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).

The formula for the tangent of an angle is:

\(tan(angle) = opposite/adjacent\)

In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).

\(tan(42^o) = h / 50\)

To find the height (h), we can rearrange the equation:

\(h = 50 * tan(42^o)\)

Now, let's calculate the height:

\(h =50 * tan(42^o)\)

h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)

So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

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The domain is all real numbers for question (a), (b), (c).  The domain is all real numbers except -3 for question (d). The domain is all real numbers except 0 for question (e) and (f). The y-intercept for (a) is (0, 1). The y-intercept for (b) is (0, 5). The y-intercept for (c) is (0, 0). There is no y-intercept for (d), (e) and (f). The x-intercept for (a) is ( (1/18, 0), for (b) is (5, 0), for (c) is (0, 0), for (d) is (3, 0), for (e) is (1, 0) and (-5, 0) and for (f) is  (2, 0), (3, 0), and (1, 0).

a. The domain of a function represents all possible values of x for which the function is defined. In the case of f(x) = 1 - 18x, there are no restrictions on the values of x. Therefore, the domain is all real numbers.
b. For the function g(x) = 5 - x, again, there are no restrictions on the values of x. Hence, the domain is all real numbers.
c. The function y = 3x is defined for all real numbers since there are no restrictions. Therefore, the domain is all real numbers.
d. In the function h(x) = (3 - x) / (3 + x), the denominator cannot be zero because division by zero is undefined. Setting the denominator equal to zero, we get x = -3. Thus, the domain is all real numbers except -3.
e. For the function y = (x^2 + 4x - 5) / x^2, again, the denominator cannot be zero. Setting the denominator equal to zero, we find x = 0. Therefore, the domain is all real numbers except 0.
f. The function y = t^2 - 5t + (6 / t) is defined for all real numbers except when t = 0, as division by zero is undefined. Thus, the domain is all real numbers except 0.

2. To find the y-intercept, we set x = 0 and evaluate the equation.
a. For f(x) = 1 - 18x, when x = 0, we have f(0) = 1 - 18(0) = 1. Therefore, the y-intercept is (0, 1).
b. For g(x) = 5 - x, when x = 0, we have g(0) = 5 - 0 = 5. Hence, the y-intercept is (0, 5).
c. For y = 3x, when x = 0, we have y = 3(0) = 0. Therefore, the y-intercept is (0, 0).
d. For h(x) = (3 - x) / (3 + x), finding the y-intercept involves setting x = 0. However, in this case, the function is undefined at x = 0. Thus, there is no y-intercept.
e. For y = (x^2 + 4x - 5) / x^2, when x = 0, the function is undefined. Therefore, there is no y-intercept.
f. For y = t^2 - 5t + (6 / t), when t = 0, the function is undefined. Hence, there is no y-intercept.

To find the x-intercept, we set y = 0 and solve for x.
a. For f(x) = 1 - 18x, setting y = 0 gives 1 - 18x = 0. Solving for x, we have x = 1/18. Therefore, the x-intercept is (1/18, 0).
b. For g(x) = 5 - x, when y = 0, we have 5 - x = 0. Solving for x, we find x = 5. Hence, the x-intercept is (5, 0).
c. For y = 3x, setting y = 0 gives 3x = 0. Solving for x, we obtain x = 0. Thus, the x-intercept is (0, 0).
d. For h(x) = (3 - x) / (3 + x), setting y = 0 leads to (3 - x) / (3 + x) = 0. Cross-multiplying, we have 3 - x = 0. Solving for x, we get x = 3. Therefore, the x-intercept is (3, 0).
e. For y = (x^2 + 4x - 5) / x^2, when y = 0, we have (x^2 + 4x - 5) / x^2 = 0. Multiplying both sides by x^2, we obtain x^2 + 4x - 5 = 0. Factoring the quadratic equation, we have (x - 1)(x + 5) = 0. Setting each factor equal to zero, we find x = 1 and x = -5. Hence, the x-intercepts are (1, 0) and (-5, 0).
f. For y = t^2 - 5t + (6 / t), setting y = 0 leads to t^2 - 5t + (6 / t) = 0. Multiplying both sides by t, we have t^3 - 5t^2 + 6 = 0. Factoring the cubic equation, we get (t - 2)(t - 3)(t - 1) = 0. Setting each factor equal to zero, we find t = 2, t = 3, and t = 1. Thus, the x-intercepts are (2, 0), (3, 0), and (1, 0).

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Using an equation, the length and width of the table are 27 feet and 9 feet respectively.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

In this problem, the width is one-third of the length of the rectangular table.

L = 3w

But width (w) = 9ft

length = 3(9) = 27ft

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Answer:

look at the picture i have sent

Answer:

5 - 5000 9- 9000 13- 13000 and the 31st term is 4 :)

Answer:

Step-by-step explanation:

125

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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The required total distance the ball travels, approximately, is 180 feet.

Let's denote the height of the first fall as a (initial height of 60 feet), and the distance covered during each rebound as r (two-thirds the distance of the previous fall).

The first fall distance (a) is 60 feet.

The first rebound distance (r) is (2/3) * 60 feet.

The total distance covered during the first fall and rebound cycle is:

60 + (2/3) * 60 = 60 + 40 = 100 feet.

Now, for the subsequent cycles, the ball will continue to fall and rebound in the same pattern:

Second fall distance = r * a
                                  = (2/3) * 60
                                  = 40 feet.

Second rebound distance = r*(2/3) * 60
                                            = (2/3) * 40
                                            = 80/3 feet.

The total distance covered during the second fall and rebound cycle is:

40 + (80/3) ≈ 66.67 feet.

The pattern will continue for the subsequent cycles.

To represent this as an infinite geometric series, we can write:

Total distance = \(a + (a * r) + (a * r^2) + (a * r^3) + ...\)

Where:

a = 60 feet (height of the first fall)

r = 2/3 (rebound factor)

Using the formula for the sum of an infinite geometric series:

Total distance = a / (1 - r)

Total distance = 60 / (1 - 2/3)

Total distance = 60 / (1/3)

Total distance = 60 * 3

Total distance = 180 feet.

Therefore, the total distance the ball travels, approximately, is 180 feet.

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Answer:

150%

Step-by-step explanation:

60/40=x/100

=> x*40=100*60

=> x=100*60/40

=> x=150%

please mark as brainliest, l need it

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

Answer:

3(n-5)=2n+16

Step-by-step explanation:

3 lots of 'n' and 5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)

Answer:

90 percent

Step-by-step explanation:

the fraction is 90/100 so the percentage is 90%

Answer:

Abdominus

Step-by-step explanation:

Answer:

Abdominal

Step-by-step explanation:

hope this helps :)

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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Answer:

d the negatives canceled each other out making it positive

\(\text {Hi! Let's Solve this Problem!}\)

\(\text {When Multiplying 2 Negatives it'll equal a Positive Number.}\)

\(\text {Just think of this problem as 4*8}\)

\(\text {When you Multiply -4*-8 you get the same answer}\)

\(\fbox {32}\)

\(\text {This rule also applies for Dividing 2 Negative Numbers.}\)

\(\text {Your answer will be a Positive Number.}\)

\(\text {Best of Luck!}\)

The missing percentages are fractions are i) 4/10, 40% ii) 7/10 and iii) 90%

Percentage means anything which is measured per hundredth, To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.

One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity percentage.

Percent is from the Latin adverbial phrase per centum, meaning “by the hundred.”

Given is scale, having some missing measure,

Since, the scale is being divided into 10 equal parts, therefore each part is a part of 10 parts.

i) 4th part = 4/10

% = 4/10x100 = 40%

ii) 7th part = 7/10

iii) 9th part

% = 9/10x100 = 90%

Hence, the answers are 4/10, 40%, 7/10 and 90%

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Answer:

y = 4x + 13

Step-by-step explanation:

First of all, if they are parallel, they must have the same slope, so the 4x is the same. all we need to do now is to change the b to make it cross the point (-3, 1). Doing so, we see that the y-intercept becomes 13. Therefore, the equation is y = 4x + 13.

According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.

The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.

To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.

Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)

So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.

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Answer:

A) 24

B) 10

C) 4

Step-by-step explanation:

i multiplied for each question

The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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When placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

A trifecta in horse racing involves selecting the first three finishers in a race in the correct order. To determine whether it involves combinations or permutations, we need to understand the difference between the two.

Combinations and permutations are both methods of counting the number of ways to arrange or select objects. The main difference lies in whether the order of selection or arrangement matters.

In the case of a trifecta, the order of the selected horses does matter. For example, if the winning horses are Horse A, Horse B, and Horse C, selecting them in the order ABC is different from selecting them in the order BAC or CAB.

Therefore, a trifecta involves permutations rather than combinations. Permutations consider the order of the selected objects, while combinations do not.

In summary, when placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

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Answer:

0.82

Step-by-step explanation:

The algebraic expression to represent the amount of money Mary will pay if Marco contributes for m months is $38m The given is that Mary's fee for renting a storage unit is $6 plus $34 per month.

In the same vein, her friend Marco will be paying $2 towards the fee and $6 per month.

To write an algebraic expression to represent the amount of money Mary will pay if Marco contributes for m months, we are going to calculate the amount of money that Mary will be paying per month. Let M be the amount of money Mary will be paying per month. Therefore:

M = $34 + $6 - $2M = $38

From the above calculation, Mary will be paying $38 per month. Thus, if Marco contributes for m months, then the amount Mary will pay is given by the product of the amount of money Mary pays per month (M) and the number of months Marco contributes (m).

Therefore, the algebraic expression to represent the amount of money Mary will pay if Marco contributes for m months is:$38m

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The maximum or minimum value of the function y = -2x² + 32x - 12 is (8, 116) and the range of the function y = -2x² + 32x - 12 lies in the interval

(−∞ ,116).

Given, the function is y = -2x2 + 32x - 12

According to the question we have to extract the maximum or minimum value of the function.

The maximum or minimum of a function which is a quadractic function occurs at the point x = -b/2a.

If a is negative, then the maximum value of the function is f(-b/2a).

If a is positive, then the minimum value of the function is f(-b/2a).

According to this, we can derive the general equation as

fmax(x) =ax²+bx+c occurs at x = -b/2a.

From the given equation, comparing we get

a = -2, b = 32, c = -12

Substitute the value of a and b in in the general equation and we get

x = -32/2(-2)

x = -32/-4

x = 8

Put x = 8 in the given general equation,

y = -2(8)² + 32(8) - 12

y = -2(64) + 256 - 12

y = -128 + 256 - 12

y = 256 - 140

y = 116

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Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = \(\frac{1}{2}\) (110 + 40)° = 0.5 × 150° = 75°

The function is a continuous random variable. The correct option is B.

Continuous random variables are those that have a large number of uncountable possible values. There are countless possible values. In this illustration, there is no limit to the range of possible values for the height of a giraffe in meters, such as 10.5m, 15.22m, 12.0m, etc. There are countless options.

Discrete Variables that have a finite number of possible outcomes are known as random variables. When a dice is rolled, for example, the outcomes could be 1, 2, 3, 4, 5, or 6. There are only six possible values, with nothing in between.

Therefore, the function is a continuous random variable. The correct option is B.

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