The Petersons hotel has a lazy river that is shaped like a circle with a diameter of 120 ft. If mr. Peterson has made one full rotation how many feet has he traveled?

Answer:

V =718.0866 in^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The radius is 3.3 and the height is 21

V = pi (3.3)^2 * 21

V = pi (10.89) (21)

V =pi 228.69

We can approximate pi by 3.14

V = 3.14(228.69)

V =718.0866 in^3

Answer:

D

Step-by-step explanation:

65 is your "b" value in this linear equation

18 is your slope

Answer:

18

Step-by-step explanation:

Answer:

The answer is 91

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

200=4(5)(9)+2(5)h

Simplify:

200=20(9)+10h

200=180+10h

Subtract 180 on both sides:

20=10h

Divide by 10:

h=2

Answer:

c. 9 inches

Plates and clocks are examples of circles.

Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.

Answer:

A) 5x + 4 = -54

B) 6(5/6x + 2/3) = -9(6)

C) 5x = -58

Step-by-step explanation:

Answer:

a b c

Step-by-step explanation:

Answer:2304

Step-by-step explanation:

All you have to do is 48x48, hope this helped you!

C. Both can be used to withdraw money from ATMs.

A debit card and an ATM card share certain similarities, but they also have distinct differences. Let's focus on the similarities both can be used to withdraw money from ATMs (option c).

The primary similarity between a debit card and an ATM card is that they can both be utilized to withdraw cash from Automated Teller Machines (ATMs). When using either card at an ATM, the cardholder can access their bank account and withdraw funds, check balances, and perform other account-related transactions.

However, it is crucial to note the differences between these two types of cards. A debit card is linked to a checking or savings account and allows the user to make purchases in stores, online, or through other payment methods. It deducts the amount spent directly from the linked bank account. On the other hand, an ATM card is typically used only for ATM transactions and lacks the functionality to make purchases like a debit card.

In summary, both a debit card and an ATM card can be used to withdraw money from ATMs, but a debit card offers additional features and can be used for various transactions, including online and in-store purchases.

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Answer:

The vertex is at (2,4)

Step-by-step explanation:

The parabola is given in the form

y = a(x-h)^2 +k

where (h,k) is the vertex

y=2(x-2)^2+4​

The vertex is at (2,4)

Answer: (2,4)

Step-by-step explanation:

I promise you

I think the answer is 3,053.628.

Answer:

3050

Step-by-step explanation:

V=4 /3xπxr/\3=4

3·π·93≈3053.62806

Answer:

B. All of the time

Answer:

.498

Step-by-step explanation:

divide 3/18 and you get .166

Then divide 7/21 and you get .333

Then you must divide those two together, and you get .498

Answer:

C

Step-by-step explanation:

The equation y = x + 2 does not match these data points either. So, option D is not the correct answer.

Let's analyze each option:

A. y = -2x - 2

This equation represents a linear relationship with a slope of -2 and a y-intercept of -2. It does not seem to match the given data points.

B. -2

This is not an equation, so it cannot be a solution.

C. y = 8 + 2x, y = x + 1

The first equation, y = 8 + 2x, represents a linear relationship with a slope of 2 and a y-intercept of 8.

The second equation, y = x + 1, also represents a linear relationship with a slope of 1 and a y-intercept of 1.

Now, let's check if these equations match the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

None of the equations in option C match these data points. So, option C is not the correct answer.

. y = x + 2

This equation represents a linear relationship with a slope of 1 and a y-intercept of 2.

Now, let's check if this equation matches the given data points:

Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)

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Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

Answer:

A, (x, -y)

Step-by-step explanation:

When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.

Answer:

3.2 x 10^5

Step-by-step explanation:

Scientific Notation

3.2 x 10^4 = 32000

3.2 x 10^5 = 320000

Final answer:

The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.

Explanation:

To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.

For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.

Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.

Step-by-step explanation:

20x + 10 = 10 - 10x

Now bringing like terms on one side

20x + 10x = 10 - 10

30x = 0

x = - 30

Answer:

Step-by-step explanation:

-5(-4x-2)=-2(5-5x)

20x+10=-10+10x

20x-10x=-10-10

10x=-20

x=-2

Answer:

B. f(x) = 4 log(x+3)

Step-by-step explanation:

B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx

The functions would result in a graph that is shifted three units to the left of g(x) = 4 log x is F(x) = = 4log(x+3).

The correct option is B.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

G(x) = 4 log x

As, If we want to shift a function to the left, we add a constant.

and, If we want to shift a function to the right, we subtract a constant.

Her, we have to shift left by 3 unit then we have to add.

Then, the translated function F(x) = 4log(x+3)

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Answer:

x = 2

y = 3

Step-by-step explanation:

y = 2x – 1

y - 2x = -1

y = 5x – 7

y - 5x = -7

y - 2x = -1

y - 5x = -7

_________--

3x = 6

x = 6/3

x = 2

y = 2x – 1

y = 2(2) - 1

y = 4 - 1

y = 3

[tex]x=2\\y=3[/tex]

Given -

[tex]y=2x-1\\y=5x-7[/tex]

So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].

[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]

Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].

[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]

Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].

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1/10 or 10%.

First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.

4 NY + 3 PA + 3 VI = 10 total quarters.

So the total number of quarters becomes the denominator for the first probability, and the total number  of PA quarters becomes the numerator.

So the probability of Jim pulling out a PA quarter first is 3/10.

Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.

So the probability of Jim pulling out a VI quarter second is 3/9.

Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.

The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%

Answer:

x = 6

x = 16

y = 11

Step-by-step explanation:

Honestly you're not going to read this part but eh.

13x - 5 = 7x + 31 (because bisect means these two angles are congruent)

6x = 36 (combined like terms)

x = 6 (divided by 6)

Didn't read this either but eh again.

5x - 4 + 7x - 8 = 180 (because supplementary angles)

12x - 12 = 180

12x = 192

x = 16

Plug in to find y:

9y + 5 = 7(16) - 8

9y + 5 = 104

9y = 99

y = 11

Answer:

C.80

Step-by-step explanation:

If you multiply all of the options 5x4x4 you will get 80

Answer:

£23.40 total for month.

Step-by-step explanation:

£16 for the monthly fee

170 mins - 150 = 20 extra mins = 20 × 13 = 260p or £2.60 for extra mins

182 mins - 150 = 32 extra mins = 32 × 15 = 480p or £4.80 for extra texts

16 + 2.60 + 4.80 = £23.40 total for month.

Answer:

A

Step-by-step explanation:

To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A

The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.

B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.

Thus, the correct answer is A) 8 /-3.

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Answer:

a)  6.

b)  0 (multiplicity 3), -5 (multiplicity 2) and 7/2.

c) and (d) - See below.

Step-by-step explanation:

(a)  f(x) = x^3(x + 5)^2 (2x - 7)

The highest degree of x  (= x^3*x^2*x) = 3+2+1 = 6.  

(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from  x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.

(C)  The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).

(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.

At the extreme ends this graph resembles the graph of -x^3.

Answer:

h= 24 units

r= 7 units

[tex]volume = \frac{\pi {r}^{2}h }{3 } = \frac{\pi {(7)}^{2} \times 24 }{3} [/tex]

[tex] = \pi49 \times 8 \: \: {units}^{3} [/tex]

[tex] = 392\pi {units}^{3} [/tex]

option B

The Volume of Cone is 392π unit³.

The correct option is (B).

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

We have,

l = 25

Radius = 7 unit

Height = 24 unit

So, the Volume of cone

= 1/3 πr²h

= 1/3 π(7)²(24)

= π(49)(8)

= 392π unit³

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Final answer:

Jennifer is 66.3 inches tall; this is calculated by finding the z-score for the 70th percentile and using it with the mean and standard deviation of the population.

Explanation:

To determine how tall Jennifer is, given that she is taller than 70% of the population of U.S. women, we need to find the corresponding z-score that reflects the 70th percentile of a normal distribution, and then use it to calculate her height.

Firstly, using a standard normal distribution table or a calculator, we find the z-score that corresponds to the 70th percentile. Generally, this z-score is around 0.5244 (this can vary slightly depending on the table or technology used to find it). Now we apply the formula for converting a z-score to the actual score using the population mean and standard deviation:

Height = mean + (z-score × standard deviation)

Plugging in the values for the population mean and standard deviation:

Height = 65 + (0.5244 × 2.4)

Height = 65 + 1.2586

Height = 66.2586 inches

After rounding, we conclude that Jennifer is 66.3 inches tall.

In the given case, Jennifer's height is approximately 66.3 inches.

To find Jennifer's height, we need to find the z-score corresponding to the 70th percentile (as she is taller than 70% of the population) and then use that z-score to find her height.

The z-score formula is:

[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]

First, we find the z-score corresponding to the 70th percentile using a standard normal distribution table or calculator.

A z-score of approximately \(0.5244\) corresponds to the 70th percentile.

Now, we can use the z-score formula to find Jennifer's height x

[tex]\[ 0.5244 = \frac{x - 65}{2.4} \][/tex]

[tex]\[ x \approx 66.2586 \][/tex]

Rounded to one decimal place, Jennifer's height is approximately 66.3 inches.

Answer:

10

Step-by-step explanation:

Common sense. (also I used Google)

Answer:

De Answer is ♥ 10 ♥

( If Wrong Den Me Sowwy )

Steps to solve:

c - 7x; c = 3, x = -5

~Substitute

3 - 7(-5)

~Multiply

3 - (-35)

~Simplify

3 + 35

~Add

38

Best of Luck!

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Hope it will help u....