A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.

Answer:

D

Step-by-step explanation:

When the ball hits the ground then h = 0 , that is

- 5t² + 13t + 6 = 0 ( multiply through by - 1 )

5t² - 13t - 6 = 0

Consider the factors of the product of the coefficient of the h² term and the constant term which sum to give the coefficient of the h- term.

product = 5 × - 6 = - 30 and sum = - 13

The factors are - 15 and + 2

Use these factors to split the h- term

5t² - 15t + 2t - 6 = 0 ( factor the first/second and third/fourth terms )

5t(t - 3) + 2(t - 3) = 0 ← factor out (t - 3) from each term

(t - 3)(5t + 2) = 0

Equate each factor to zero and solve for t

t - 3 = 0 ⇒ t = 3

5t + 2 = 0 ⇒ 5t = - 2 ⇒ t = - \(\frac{2}{5}\)

Now t > 0 , so t= 3

The ball hits the ground after 3 seconds

Answer:

The answer is 21.

Step-by-step explanation:

If the board was 7 feet long and each piece was cut into 1/3 of a foot, that means that there are actually 21 pieces

I put a picture if it helps...

Answer:

-1/55

Step-by-step explanation:

exact form -1/55

decimal form -0.018

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thank you

19NBoli

Answer:

\(-\frac{1}{55}\)

Step-by-step explanation:

Hi! Ace here.

Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.

So let's rewrite this:

\(\frac{4}{5} -\frac{9}{11}\)

When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.

\(\frac{4}{5} *\frac{11}{11} =\frac{44}{55}\)

\(\frac{9}{11} * \frac {5}{5} = \frac{45}{55}\)

Since \(\frac{11}{11}\) and \(\frac{5}{5}\) both equal 1, the fraction is the same value.

Now we subtract normally with our "new" numbers.

\(\frac{44}{55}- \frac{45}{55}\)\(=-\frac{1}{55}\)

I hope this helped, let me know if you have any questions.

Answer:

V = (1/3)pi(r^2)h (the first one)

Answer:

first one is the answer ((1/3)pi(r^2)h)

Answer: 30

Step-by-step explanation:

8(3) + 6 = 30

Step-by-step explanation:

8x+6=0. Where x=3

=8(3)+6

=24+6

=30

Answer:

The desired point is thus (-1/2, -5).

Step-by-step explanation:

The x-component of this directed line segment is 2 - (-8), or 10, and the y-component is -7 - (1), or -8.  This segment is in Quadrant II, since the x-component is positive and the y-component is negative.

The point of interest is (3/4) of the way in the positive x-direction from x = -8.  We can express this symbolically as -8 + (3/4)(10), or -8 + 7.5, or -1/2.

The point of interest is 3/4 of the way in the negative y direction from 1, or:

1 + (3/4)(-8), or 1 - 6, or -5.

The desired point is thus (-1/2, -5).

The equation representing the cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by the function C(T).

We need the information about the relationship between the cost, C, of air conditioning your home in dollars per day and the temperature outside is T degrees Fahrenheit.

It is mentioned that the cost, C, of air conditioning your home is dependent on the temperature outside, so we can say that it is a function of the temperature outside, T.

In mathematical terms, this can be written as:

C(T)

Here, C is a function of T, which implies that the cost of air conditioning depends on the temperature outside.

Hence, this equation tells us the relationship between C and T.

The equation, therefore, could be a linear or a nonlinear equation, depending on the nature of the relationship between C and T.

So, we can say that the equation representing the cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by the function C(T).

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The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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At points (sin2, cos2, 2) and (-sin2, cos2, -2) the helix r(t) = <sint, cost, t> intersect the sphere x² + y² + z² = 5.

The helix r(t) = <sint, cost, t> intersect the sphere x² + y² + z² = 5. So

x = sint, y = cost, z =t

x² + y² + z² = 5

Substitute the value of x, y and z.

(sint)² + (cost)² + (t)² = 5

sin²t + cos²t + t² = 5

As we know that sin²t + cos²t = 1. So

1 + t² = 5

Subtract 1 on both side, we get

t² = 4

Taking square root on both side, we get

t = ±2

So the points of intersection are:

(sin2, cos2, 2) and (-sin2, cos2, -2)

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The complete question is:

At what points does the helix r(t) = <sint, cost, t> intersect the sphere x² + y² + z² = 5.

Answer:

0 or 2i

Step-by-step explanation:

I said zero because it is time zero but the times zero is before the x i x 2 so it could possibly be 2i.

Answer:

The answer is zero

Step-by-step explanation:

The statement 'The mode is the value of the observation that appears most frequently.' is True.

We know that, the mode is the most frequent number.

It is the number that occurs the highest number of times.

The observation occurring the most number of times or which has highest frequency is known as the mode.

For example,  in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 as it occurs most often.

There is no mode when all observed values appear the same number of times in a data set.

Therefore, the statement 'The mode is the value of the observation that appears most frequently.' is True.

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Answer:

x = 50

Step-by-step explanation:

sin 40º = 32 / x

0.64 = 32 / x

x = 32 / 0.64

x =~ 50

Answer:

(3+1)X 6

Step-by-step explanation:

that means 4x6

Answer:

B,C,D

Step-by-step explanation:

I just took the question and got them all right

Answer:

B, C, D

Step-by-step explanation:

HOPE THIS HELPS IT'S RIGHT ON ED2020

(a) The balance after 5 years is approximately $18,088.53, which is enough to buy an $18,000 motorcycle.

(b) If the interest rate were raised to 8%, the balance after 5 years would be approximately $19,386.43, which is more than enough to buy the motorcycle.

To find the balance A in the account at the end of 5 years, we can use the formula for the future value of a series of monthly deposits in a compounded interest account. The monthly deposit is $250, and the interest rate is 6% compounded monthly. We have a total of 60 deposits (5 years x 12 months).

Using the formula A = P [(1 + r/n)^(nt) - 1] / (r/n), where P is the monthly deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years, we can calculate the balance after 5 years.

Plugging in the values, we have A = 250 [(1 + 0.06/12)^60 - 1] / (0.06/12). Evaluating this expression, we find that the balance after 5 years is approximately $18,088.53. Since this amount is greater than $18,000, there is enough money in the account to buy an $18,000 motorcycle.

If the interest rate were raised to 8%, we can repeat the calculation using the same formula. Plugging in the new interest rate of 8%, we find that the balance after 5 years would be approximately $19,386.43. This amount is more than enough to buy the motorcycle.

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Answer:

The answer is

Step-by-step explanation:

Circumference of a circle is πd

Where d is the diameter

From the question

d = 40 feet

Circumference of the circle is

40π

= 125.66

= 126 feet to the nearest whole number

Hope this helps you

Answer:

0.000002

Step-by-step explanation:

since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.

Answer:

6x+y=2

Step-by-step explanation:

y=-6x+2

6x+y=2

Answer:

(-x + 3)/4 = 12

Step-by-step explanation:

By doing the workingout for this expression you will get the same solution.

Answer:

\(-4^{15}\)

Step-by-step explanation:

Given expression:

\(\left[(-4)^5\right]^3\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies (-4)^{(5 \times 3)}\)

\(\implies (-4)^{15}\)

\(\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:\)

\(\implies -4^{15}\)

Answer:

3

Step-by-step explanation:

:3

The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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On solving the provided questions, we can say that The probability of a house selected at random having a number whose first digit is 1 is 0.5 and the value of n = 196

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

There are n houses in a particular street numbered from 1 to n, where 100 < n < 250.

The probability of a house selected at random having a number whose first digit is 1 is 0.5.

here,

the n(E) = 250 - 100

n(E) = 150

150 +46 = 196

the value of n = 196

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Answer:

8.5

Step-by-step explanation:

the distance between points X and Y. In other words, to view an image of yourself in a plane mirror, you will need an amount of mirror equal to one-half of your height. A 6-foot tall man needs 3-feet of mirror (positioned properly) in order to view his entire image.

For cos A = 0.8823, the approximate measure of angle A is 28.6 degrees. For cos A = 0.9615, the approximate measure of angle A is 15.5 degrees.

The cosine function relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse. The inverse cosine function (also known as arccosine or cos^(-1)) allows us to find the angle given the cosine value. By using a calculator with inverse cosine functionality, we can determine the measure of angle A in degrees.

For cos A = 0.8823, we input this value into the inverse cosine function to find the angle in radians, which is approximately 0.5091 radians. To convert this to degrees, we multiply by 180/π (approximately 57.3 degrees per radian), giving us approximately 28.6 degrees.

Similarly, for cos A = 0.9615, we input this value into the inverse cosine function to find the angle in radians, which is approximately 0.2737 radians. Converting this to degrees using the conversion factor, we obtain approximately 15.5 degrees.

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Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)

Answer:

No solution

Step-by-step explanation:

Original Equation:

5x - 5 = 5x + 7

Add 5 to both sides

5x = 5x + 12

So we already know that this equation is not true, making it no solution

Hope this helped

Answer:

2(x-10)+4=-6x+2

2x-20+4= -6x+2

2x-16=-6x+2

2x+6x=2+16

8x=18

x=18/8

x=9/4

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

Ueueueueujehdjdjdjdjdjjfjfjfjrjrjrtep-by-step explanation:j

The Delhi metro track increased by 20% in the last two years.

The Delhi metro track increased from 200 km to 240 km in the last two years. To calculate the percentage increase, we need to find the difference between the new and old lengths, divide it by the old length, and then multiply by 100.
The difference in length is 240 km - 200 km = 40 km.
The percentage increase, we divide the difference by the old length: 40 km ÷ 200 km = 0.2.
Finally, we multiply by 100 to get the percentage: 0.2 × 100 = 20%.
Therefore, the Delhi metro track increased by 20% in the last two years.
Another way to calculate the percentage increase is by using the formula:
Percentage increase = (new value - old value) ÷ old value × 100.
In this case, the new value is 240 km and the old value is 200 km.
So, the percentage increase = (240 km - 200 km) ÷ 200 km × 100 = 40 km ÷ 200 km × 100 = 0.2 × 100 = 20%.
Therefore, the Delhi metro track increased by 20% in the last two years.

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