Question 9
Find the measure of the exterior angle.

Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25

Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.

Here, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.

We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).

the variance np  \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)

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Answer:

70 degrees.

Step-by-step explanation:

As AB is a diameter M < C = 90 degrees.

Therefore m < B = 90 - 20 = 70.

Answer:

y = 2x - 6

Step-by-step explanation:

subtract 2x from each side to get:

-y = -2x + 6

divide each side by -1 to get:

y = 2x - 6

Answer:

\(2772\)

Step-by-step explanation:

The amount of books that will not be returned are \(45\)%\(=45/100=9/20\), multiplied by \(5040\). We multiply it by \(5040\) because \(45\)%\((5040)=45\)%\(*5040\).

\(45/100*(5040)=9/20*(5040)=9/2*504=9*252=2268\), so the answer is \(2268\), right?

Wrong! \(2268\) is the amount of books that will NOT be returned on the due date. We need the amount of books that WILL be returned on the due date. So, the real answer is \(5040-2268=2772\).

So, the answer is \(\boxed{2772}\) and we're done!

The union of two sets contains all the elements contained in either set (or both sets). The intersection of two sets contains only the elements that are in both sets

Therefore the answer is B.

Answer:

19

Step-by-step explanation:

I used my fingers and toes

Answer:

everything but J

integers can be negative or positive

Answer:

1 and 37

Step-by-step explanation:

37 is a prime numbers

Number of ways 5 gymnasts participate including exactly two from Lia , Bella , Priscilla is equal to 252.

As given in the question,

Total number of gymnasts = 12

Number of gymnasts to be participates = 5

Condition:

Exactly two gymnasts from Lia , Bella , Priscilla

Number of ways 5 gymnasts participates

= ⁹C₃ × ³C₂

= ( 9!)/ ( 9 - 3)! 3! × 3!/ ( 3-2)! 2!

= [( 9× 8 ×7 × 6!)/ 6! ( 3× 2× 1)] × ( 3 × 2!)/ 2!

= [( 9× 8 ×7)/ ( 3× 2× 1)] × 3

= 252

Therefore, the number of ways 5 gymnast can participate out of 12 with the given condition is 252.

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An approximate size which does not represent any of the actual dimensions of the unit is nominal value.

The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."

Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.

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Answer:

2 hours

Step-by-step explanation:

first tap= 3hours

therefore work done is = 1/3

second tap= 6hours

therefore work done = 1/6

so, 1/3+ 1/6

=2/6 + 1/6

=3/6

=1/2

=2/1 hours

=2 hours

The probability of Yao making his next free kick, a simulation can be designed using a random number generator. This simulation will take into account Yao's historical success rate of 18% in making free kicks.

In order to estimate the probability of Yao making his next free kick, we can use a random number generator to simulate multiple free kick attempts. Given Yao's historical success rate of 18%, we can set up the simulation to generate random numbers between 0 and 1. If the generated number is less than or equal to 0.18, it can be considered a successful free kick, while any number greater than 0.18 would indicate a missed free kick.

By repeating this simulation for a large number of attempts, we can observe the frequency of successful free kicks and use it to estimate the probability of Yao making his next free kick. The more repetitions we run, the more accurate our estimate will be.

It's important to note that this simulation assumes that Yao's success rate remains constant and that each free kick attempt is independent of the previous ones. Real-world factors such as player fatigue, pressure, or other variables may affect the actual outcome. However, the simulation provides an estimation based on Yao's historical performance.

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Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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Answer:

<A=56.64

<B=114.99

<C=8.33

Step-by-step explanation:

let angle C be x

8x-10+3x+90+x=180°[sum of inside the triangle is 180°]

12x+80=180

12x=180-80

x=100/12

x=8.33

now putting the value of x

angle C is 8.33

angle A is 56.64

angle B is 114.99

\(\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}\)

Answer:

25,000 - x(0.07)

Step-by-step explanation:

Have a great day!

Answer:

17.5 Cups of Sugar

Step-by-step explanation:

Divide 15 by 6, to get 2.5. then add 15 and 2.5 (for the extra batch) and get 17.5

Answer:

I would say yes they are

Step-by-step explanation:

because you multiply the small one's numbers by 2 and get the big triangle

Answer:

they are similar! :)

Step-by-step explanation:

the best way to figure this out is just by looking to see if they have anything in common. in this case, the larger figure is just two times more on each side than the smaller figure.

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

Answer:

\({x}^{2} - 10x + 25\)

Step-by-step explanation:

For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.

(x - 5) (x - 5)

First, multiply the two Xs together.

X * X =

\( {x}^{2} \)

Now, the outer numbers and values.

X * -5 =

\( - 5x\)

Then, it's the inner numbers and values.

-5 * x =

\( - 5x\)

Finally, multiply the last numbers.

-5 * -5 =

\( 25\)

Now that we have multiplied all of the values, we can put the answers from FOIL together.

\( {x}^{2} - 5x - 5x + 25\)

Now, add any like terms.

\( - 5x - 5x = - 10x\)

The answer is

\( {x}^{2} - 10x + 25\)

Answer:

y-intercept = 31

Step-by-step explanation:

The equation of a straight line in slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.

As we know that 11 is the slope, our equation now becomes y = 11x + b.

To find b, you take the given point, and plug the numbers in for x and y in the equation. Now x = 7, and y = 108.

Your equation is now 108 = 11(7) + b and you can solve for b, your y-intercept.

108 = 11(7) + b

108 = 77 + b

31 = b

Therefore, your y-intercept is 31.

Answer:

5

Step-by-step explanation:

use formula a^2+b^2=c^2

so 4^2+3^2=25

then we square root 25 to get the length

square root of 25 equals 5

so the length is 5

hope this helps!

16

Step-by-step explanation:

if you multiply 12 by 8 you get 96 so then you would subtract 96 from 288 and get how much he would spend on all of them then i think you would need to divide 192 from 12 and get 16.so i think the answer is 16 correct me if im wrong

Answer:

A.

Step-by-step explanation:

The answer is A. 2 seconds after it was shot.

To determine Keith's unit rate of change of dollars with respect to time, we need more information about the context or specific data related to Keith's savings. Without additional details, it is not possible to calculate or provide a specific answer.

To calculate the unit rate of change of dollars with respect to time, we would typically need information such as the initial amount of savings, the duration of time, and any additional factors that influence Keith's savings. The unit rate of change is often represented as dollars per year, indicating the amount saved or gained in one year.

For example, if Keith starts with $10,000 and saves an additional $2,000 per year, then the unit rate of change of his savings with respect to time would be $2,000 per year. This means that Keith's savings increase by $2,000 annually.

However, without specific data or further context about Keith's savings, it is not possible to provide an accurate calculation or determine the unit rate of change in dollars with respect to time for Keith's situation.

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The polynomial function y = -(x-2)^2 has a zero at x=2 of order 2.

In a polynomial function, a zero is a value of x that makes y equal to zero. To find the zeros of a polynomial function, we need to set y equal to zero and solve for x.

So, in this case, we have:

-(x-2)^2 = 0.

We can simplify this equation by multiplying both sides by -1:

(x-2)^2 = 0.

This equation tells us that the square of a quantity is equal to zero. The only way for this to be true is if the quantity itself is equal to zero.

So, we can solve for x by taking the square root of both sides:

x - 2 = 0.

x = 2.

This means that the function y = -(x-2)^2 has only one zero at x=2. However, since the expression (x-2)^2 is squared, this zero is of order 2. This means that the function crosses or touches the x-axis at x=2, but doesn't change the sign there. Graphically, this would appear as a "double root" or a "point of inflection".

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Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

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To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:

Distance = √[(x - 3)² + (y - 0)²]

Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:

Distance² = (x - 3)² + y²

To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:

d(Distance²)/dx = 2(x - 3)

d(Distance²)/dy = 2y

Setting these derivatives equal to zero, we have:

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

2y = 0 => y = 0

Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).

Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).

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