if you are riding on a ferris wheel that is 60 feet tall and it takes you 5 minutes

Answer: x = 4

Step-by-step explanation:

4x = 16

Divide both sides by 4

x = 4

Answer:

4

Step-by-step explanation:

Because 4x=16, then divided both sides by 4.4÷4=1 times x =x and 16 ÷4=4. so the value of x is 4.

the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

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Answer:

144

Step-by-step explanation:

12x12=144

Answer:

assuming <3 is supplementary to <7 then <7 is 57

Step-by-step explanation:

180-123=57

Porción indefinida de plano limitada por dos líneas que parten de un mismo punto o por dos planos que parten de una misma línea y cuya abertura puede medirse en grados.

ángulos adyacentes Ángulos que tienen el vértice común, un lado común que los separa y los otros dos lados en línea recta.

Answer:

They are adjacent. x=10/3

Step-by-step explanation:

There are 5,005 methods to create a committee of six people from a department of 10 mathematicians and 15 physicists if they must all be physicists.

We must select 6 physicists among the department's 15 physicists because the committee can only include physicists. Using the combination formula, we may accomplish this:

C(15, 6) = 15! / (6! * (15-6)!)

where C(15, 6) denotes the variety of options for selecting 6 of the department's 15 physicists.

Using the formula, we can calculate:

C(15, 6) = 5005

Therefore, There are 5,005 methods to create a committee of six people from a department of 10 mathematicians and 15 physicists if they must all be physicists.

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The constant of proportionality of the temperature is 0.4 degrees per hour

From the question, we have the following parameters that can be used in our solution:

Rise in the temperature = 4 degrees

Number of hours = 10 hours

From the above parameter, we can calculate the constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Rise in the temperature /Number of hours

Substitute the known values in the above equation

So, we have the following equation

Constant of proportionality = 4/10

Evaluate the quotient

Constant of proportionality = 0.4

Hence, the constant of proportionality is 0.4 degrees per hour

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Answer:

Step-by-step explanation:

We need to find the volume of the cone with:

First, find the height, using Pythagorean, where hypotenuse of the triangle is 8 cm and base is the radius = 5 cm/2 = 2.5 cm:

Find the volume of the cone:

Answer:

You should add 25 because you should always add the square of the p value (which is equal to half of the b value, which makes the p value 5).

Basically, the p value should be half of b and the square root of c.

Answer:

Step-by-step explanation:

a = 22 cm

b = 12 cm

h = 8 cm

\(Area=\frac{(a+b)*h}{2}\\\\=\frac{(22+12)*8}{2}\\\\=\frac{34*8}{2}\\\\=34*4\)

= 136 cm²

The total expenses of Marco's account are $174. The ending balance is $81. So, the starting balance will be $255.

Option A is correct for starting balance.

Further Explanation on Starting and Ending Balance

Given that Marco’s bank statement says that he has an ending balance of $81. The expenses $ of Marco is given as,

The total expenses can be calculated as given below.

Total Expenses = Sum of all Expenses

Total Expenses = 20+22+13+39+34+15+31

Total Expenses = $174

The starting balance can be calculated as given below.

Starting Balance = \(\$174 +\$81\)

Starting Balance = $ 255.

Hence we can conclude that the starting balance of Marco's account is $255. Option A is correct.

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Answer:

A

Step-by-step explanation:

Answer:

SP = 24

Step-by-step explanation:

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-2,3) (2,5)

We see the y increase by 2 and the x increase by 4, so the slope is

m = 2/4 = 1/2

The y-intercept located at (0,4)

So, the equation is y = 1/2x + 4

Step-by-step explanation:

We have the points (0, 0) and (8, 14).

Rise between the points = 14 - 0 = 14.

Run between the points = 8 - 0 = 8.

Slope of Line

= Rise/Run = 14/8 = 1.75.

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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Answer:

5,184 cubic inches

Step-by-step explanation:

The sum of the infinite geometric series 1 - 1/5 + 1/25 - 1/125 + ... is 5/6.

This is an infinite geometric series with first term a = 1 and common ratio r = -1/5. To determine whether the series is convergent or divergent, we need to check whether |r| < 1. In this case, |r| = 1/5, which is less than 1. Therefore, the series is convergent.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series: S = a/(1 - r) Plugging in the values for a and r, we get:S = 1/(1 - (-1/5)) S = 5/6

Therefore, the sum of the infinite geometric series 1 - 1/5 + 1/25 - 1/125 + ... is 5/6.

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Answer:

x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.

Step-by-step explanation:

Sorry if this is not what you are looking for.

Answer:

16

Step-by-step explanation:

Evaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)​

f(3) = 4 x 2 + 4(3) - 4

After this step conduct PEMDAS

f(3) = 4 x 2 + 12 - 4

f(3) = 8 + 12 - 4

f(3) = 20 - 4

f(3) = 16

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

An effective indicator for assessing retail store efficiency, spotting market trends, and making strategic business decisions is annual earnings per employee for profits.

The retail sales industry's annual profits per employee are shown in the data. The data's mean or median is most likely about $4,000,000, according to the assumption. You may compare the productivity of several retail stores by looking at the annual profits per employee. Businesses that generate more annual earnings per employee are typically more productive than those that do not.

The information can also be utilized to spot patterns in the retail sector, such as which businesses are operating better than others. For instance, if a business has been steadily increasing its annual profit per employee, it can be a sign that it is growing or streamlining its operations. In contrast, a business with declining annual profits per employee might be having trouble or seeing a drop in the demand for its goods.

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The Miller index notation for the (100) plane in an FCC crystal structure is [100].

Miller indices are a way to describe crystal planes and directions in a standardized manner. In the case of FCC crystal structure, the (100) plane is parallel to the x-y plane and intersects the x-axis, y-axis, and z-axis at points where the Miller indices are (1,0,0), (0,1,0), and (0,0,1), respectively.

However, to express the (100) plane in a concise and standardized manner, we can use the Miller index notation, which involves taking the reciprocals of the intercepts of the plane with the crystallographic axes and then reducing them to the smallest integer values. In the case of the (100) plane in FCC, all of the intercepts are 1, so the Miller indices are [100].

the pd expression for the (100) plane in FCC crystal structure is [100].

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On Monday, Renu tells 4 people a secret. The next day each of them tells 4 more people.  So, the answer is 16. 7a² + 8ab + 6b² - (3a² - b² + 11ab - 4)=7a² + 8ab + 6b² - 3a² + b² - 11ab + 4=4a² - 3ab + 7b² + 4.

The number of people besides Renu who will know the secret on the next Monday is 4×4, which is equal to 16. This is because each of the four people that Renu told the secret will go on to tell the same secret to four other people, and so on.

This process will repeat four times since it goes on for four days (Monday, Tuesday, Wednesday, Thursday) until it reaches the next Monday, which is five days after the first day, when the secret was first told.

So, the answer is 16.

From the sum of 3a^2+4ab-2b^2, 4a^2+7ab and -3ab+8b^2, subtract the sum of -2b^2+a^2 and -3b^2+2a^2+11ab=4.

When we add the three given terms, we get: 3a² + 4ab - 2b² + 4a² + 7ab - 3ab + 8b²=7a² + 8ab + 6b²

Now, we add the terms to be subtracted: -2b² + a² - 3b² + 2a² + 11ab - 4=3a² - b² + 11ab - 4

Finally, we subtract the second sum from the first sum:7a² + 8ab + 6b² - (3a² - b² + 11ab - 4)=7a² + 8ab + 6b² - 3a² + b² - 11ab + 4=4a² - 3ab + 7b² + 4.

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The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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Answer:

1/3

Step-by-step explanation:

If you add all the n's, it would make 3n=1.  Divide both sides by 3 and get n=1/3

Answer:

0.333 or 1/3

Step-by-step explanation:

0.333*3=1

Answer:

The answer is a) a cluster sample.

Step-by-step explanation:

This is because the hospitals are the randomly picked clusters.

Answer:

Final price: $68.58

Tax: $3.58

Step-by-step explanation:

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Answer:

surface area of a square = 2 ( lb + bh + hl )

given that,

length = 8cm

breadth = 10cm

height = 15 cm

surface area = 2 ( 8* 10 + 10*15 + 15*8 )

                     = 2 ( 80 + 150 + 120 )

                     = 2 * 350

                     = 700 \(cm^{2}\)

hope this answer helps you!!