Find the circumference of a circle with a radiusof 12 centimeters

Answer:

Ordinarily a graph like this will have arrowheads on the ends of the curve, indicating the curve continues on in the same direction. Here, we have to assume the existence of such arrowheads in order to choose a sensible answer.

As x goes to -∞, the curve continues to increase toward +∞. This is not an answer choice.

As x goes to +∞, the curve continues to decrease toward -∞. This matches the third answer choice.

all work should be in the picture, lmk if theres anything confusing

Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

Answer:

2.75

Step-by-step explanation:

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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Answer:

c

Step-by-step explanation:

Answer:

I'm pretty sure its 28?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

16/8 means 2.

And 2 is multiplied by 16.

which means 32.

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }\)

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }\)

\(\therefore\)The correct part of the problem is A) \( \bold{ {_3}\cfrac{1}{20} }\)

The relationship between temperature and the number of chirps based on the information given goes thus :

Let :

1.) Chirps per minute if temperature is 90°F

Put f = 40°F into the equation :

\( 90 - 40 = \frac{n}{3}\)

\( 50 = \frac{n}{3}\)

\( n = 50 \times 3 = 150 chirps \)

2.) Fahrenheit temperature if n = 72

\( f - 40 = \frac{72}{3}\)

Cross multiply

\( 3(f - 40) = 72\)

\( 3f - 120 = 72\)

\( 3f = 72 + 120 \)

\( 3f = 192\)

\( f = \frac{192}{3} = 64 \)

3.)

The equation for the relationship with f = Fahrenheit temperature and x = number of chirps

\( f - 40 = \frac{x}{3}\)

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Answer:

5

Step-by-step explanation:

The constant of proportionality k is given by k=y/x

y=5, x=1,

k=5

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

9x=90+21

9×=111

9×/9 = 111/9

× = 12.33

\(\text {Hello! Let's Solve this Equation!}\)

\(\text {The First Step is to Add 21:}\)

\(\text {9x-21+21=90+21}\\\text {9x=111}\)

\(\text {The Final Step is to Divide 9:}\)

\(\text {9x/9=111/9}\)

\(\text {Your Answer would be:}\)

\(\fbox {x=37/3}\)

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

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

The time it takes for the investment to grow to $12,000 if the interest is compounded continuously is 23.1 years.

Given that,

Principal amount invested, P = $6000

Rate of interest, r = 3% = 3/100 = 0.03

If the interest compounded continuously,

Final amount, A = P e^(rt)

12000 = 6000 e ^(0.03t)

2 = e ^(0.03t)

Taking logarithms on both sides,

ln (2) = 0.03t

t = 23.1 year.

Hence the time is 23.1 years.

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We can use the normal approximation to the binomial distribution to find the interval that contains approximately 95.44 percent of all the possible sample proportions when p=.5 and n=250.

The mean of the distribution of sample proportions is equal to the population proportion (p), which is 0.5 in this case. The standard deviation of the distribution is given by:

σ = sqrt(p(1-p) / n) = sqrt (0.5 * 0.5 / 250) = sqrt (0.0002) = 0.014

Using a z-score of 1.96 to correspond to a confidence level of 95.44 percent (since the standard normal distribution has a proportion of approximately 0.9544 within 1.96 standard deviations of the mean), we find the lower and upper bounds of the interval:

lower bound = p - zσ = 0.5 - 1.96 * 0.014 = 0.471

upper bound = p + zσ = 0.5 + 1.96 * 0.014 = 0.529

Therefore, the interval that contains approximately 95.44 percent of all the possible sample proportions is (0.471, 0.529).

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Answer:

2.2360679775

Step-by-step explanation:

Step-by-step explanation:

5^2

5×5

25

that is your answer

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

S O L U T I O N:

Here we've been provided with the information i.e

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

\(:\Rrightarrow\sf{S.I. = A - P}\)

\(:\Rrightarrow\sf{S.I. =3540 - 3000}\)

\(:\Rrightarrow\sf{S.I. =540}\)

\(:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}\)

\(:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}\)

\(:\Rrightarrow\sf{R = \frac{54}{9} }\)

\(:\Rrightarrow\sf{R = 6\%}\)

Answer:

The answer is -98, -686, -4802, -33,614.

Step-by-step explanation:

Answer:

c 57

Step-by-step explanation:

Answer:

y=-7

Step-by-step explanation:

y=3(-4)+5

y=-12+5

y=-7

Answer:

484

Step-by-step explanation:

First solve \(11^{2}\) which equals 121

Then solve \(2^{2}\) which equals 4

Then multiply these together to get 121*4 = 484

Answer:

121×4=484

Step-by-step explanation:

please mark me as brainlest

Answer:

so  how many minutes? 750

Step-by-step explanation:

Answer:

1.35

Step-by-step explanation:

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Solve for x :

4 - (2x + 4) = 5

1) x = -10

2) x = 5/2

3) x = 1/2

4) x = 6

➛ 4 - 2x + 4 = 5

➛ 2x + 4 - 4 = 5

➛ 2x + 0 = 5

➛ 2x = 5

➛ x = 5/2

Thus, The value of x is 5/2.

Answer:

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What percent of the students is this?

20%

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What central angle measure would you use to represent this group on a circle graph?

72°

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine said 10 p.m. What percent of the students is this?

60%

Step-by-step explanation: