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Which graph represents the solutions of the inequality k > 11?

The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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9514 1404 393

Answer:

  f(4) -g(4) = 2

Step-by-step explanation:

Fill in the given values for x and do the arithmetic.

  f(4) = 9·4 -2 = 34

  g(4) = 2·4^2 = 32

Then ...

  f(4) -g(4) = 34 -32

  f(4) -g(4) = 2

Answer: 39 and you have a remainder which is 7

so 39 remainder 7.

Step-by-step explanation: hope this helps!

Answer:

0.02544247787

Step-by-step explanation:

23 ÷ 904

Given:

Option D is the correct answer.

Answer:

k = 25

Step-by-step explanation:

Given the following data;

Volume = 325 in³

Length = 13 inches

To find the constant of proportionality, k;

Mathematically, direct proportion is given by the expression;

V = kL

k = V/L

Substituting into the formula, we have;

k = 325/13

k = 25

Answer:

x = 80

Step-by-step explanation:

using the rules of logarithms

log x - log y = log (\(\frac{x}{y}\) )

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

log5x - log4 = 2

log (\(\frac{5x}{4}\) ) = 2

note that log is actually \(log_{10}\)

then

\(log_{10}\) ( \(\frac{5x}{4}\) ) = 2

\(\frac{5x}{4}\) = 10² = 100 ( multiply both sides by 4 to clear the fraction )

5x = 400 ( divide both sides by 5 )

x = 80

Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².

The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean is the sum of all observations divided by the number of observations, hence:

M = (145 + 175 + 180 + 205 + 120)/5 = 165.

And the variance, in lbs squared, is given by:

V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.

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The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

The formula below is often used by project managers to compute, E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time P = 6E - O - 4M.

Given, that E is the estimated time to complete a job.

O is the shortest completion time.

P is the longest completion time.

And, M is the most likely completion time.

The equation given, E = (O + 4M + P)/6

By balancing the equation, multiplying both sides by 6 we get

or, 6E = O + 4M + P

Now, subtracting O + 4M from both sides, we get

P = 6E - O - 4M.

Therefore, we get P in terms of P = 6E - O - 4M.

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Answer: 11z+2

Step-by-step explanation:

The pressure in a fluid flowing with laminar flow through a pipe is given by

Hagen-Poiseuille equation.

The correct responses are;

Reasons:

When the flow is a steady incompressible flow through pipe, the flow rate

can be derived from the Hagen-Poiseuille equation as follows;

\(\displaystyle \dot V = \mathbf{\frac{\left[\Delta P - \rho \cdot g \cdot L \cdot sin\left(\theta \right) \right] \cdot \pi \cdot D^4 }{128 \cdot \mu \cdot L}}\)

ΔP = 135 kPa - 88 kPa = 47 kPa

The density of the oil, ρ = 876 kg/m³

μ = 0.24 kg/(m·s)

L = 15 m

The diameter of the pipe, D = 1.5 cm = 0.015 m

(a) When the pipe is horizontal, we have;

θ = 0°

Which gives;

\(\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3 - 876 \, kg/m^3 \times 9.81 \, m/s^2 \times 15 \, m \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}}\)

\(\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}\)

\(\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4 \, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} =\frac{0.002379357\cdot \pi}{460.8}\)

\(\displaystyle \dot V=\frac{0.002379357\cdot \pi}{460.8} = \mathbf{1.622 \times 10^{-5}}\)

(b) When the pipe is inclined 8°, we have;

\(\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}} = 1.003 \times 10^{-5} \, m^3/s\)

(c) If the pipe is inclined 8° downward from the horizontal, we have;

\(\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(-8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} = 2.24\times 10^{-5} \, m^3/s\)

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Explanation

To find the rate of change, we will have to identify the months

The table below shows the months required

We will find the change in the inflation by dividing by the change in inflation by the change in month

The rate of change from February and April will be

The rate of change from February and April is 0.3% per month

The rate of change between July and October will be

The rate of change between July and October will be - 0.1 % per month

Answer:

427,000...

Step-by-step explanation:

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The product of the rational expressions given is; (7x²-7x)/(x²-4)

The given rational expressions are;

Hence, the product of the two Rational Expressions can be evaluated as follows;

The product of the rational expressions given is therefore; (7x²-7x)/(x²-4)

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Answer: 6.71

Step-by-step explanation:

a^2 + b^2 = c^2

(2+1)^2 + (3+3)^2 = c^2

9 + 36 = c^2

\(\sqrt{45}\) = \(\sqrt{c^{2}\)

c = 6.71

Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

An expression is defined as a set of numbers, variables, and mathematical operations. The expressions can be arranged as shown below.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

According to the number of terms, the expressions can be arranged as,

Hence, the expressions can be arranged as shown above.

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We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

First convert them which will be

-7/5 - (-4/5)

so when you subtract a negative number from negative number they actually subtract ex = -4-(-2) = -2

so its simply 7/5-4/5 then add a negative sign

so

3/5

now add negative sign so

-3/5

Answer:

Rs 440

Step-by-step explanation:

Price of bicycle = 3520

Price of mobile = 4690

Cost Price of both mobile and bicycle = 3520 + 4690

=> 8210

Selling price of both mobile and bicycle = 8650

Profit = selling price - cost price

= 8650 - 8210

= 440

Therefore he gained Rs 440

Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.

In mathematics, the first 10 integers are referred to as the fundamental numbers. From 0 to 9, these foundational numbers are listed. The 0 to 9 range of basic integers includes 0 through 1, 2, 3, 4, 5, 6, 7 and 8.

Let's start by defining some variables. Let:

We can write the equations for the total cost of each plan as:

T1 = 35 + 2x

T2 = 34 + 3x

Since we know that the two plans end up costing the same total amount when Josh attends a certain number of classes in a month, we can set T1 equal to T2 and solve for x:

35 + 2x = 34 + 3x

35 = 34 + x

1 = x

So if Josh attends 1 group class per month, the two membership plans will cost the same total amount. Let's substitute x = 1 into our equations for T1 and T2 to find out what that total amount is:

T1 = 35 + 2(1) = 37

T2 = 34 + 3(1) = 37

Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.

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Answer: a = 15

Step-by-step explanation:

first distribute the 5 and 3 to the parenthesis

5a-5-15=3a+6+4

then add the numbers on each side together

5a-20=3a+10

then add 20 to both sides to move that over and subtract 3a from both sides to move that over

2a=30

divide by 2

a=15

The total number of yards the friends who paddle the Adventure Mid travel is 8,580 yards

Number of friends who paddle Adventure Mid Trip = 40% of 15

= 0.4 × 15

= 6 friends

Total yards the friends who paddle the Adventure Mid Trip travel = Total length of travel

= 4 7/8 miles

Recall,

1 mile = 1760 yards

Total yards the friends who paddle the Adventure = 4 7/8 × 1,760

= 39/8 × 1,760

= (39 × 1,760) / 8

= 68,640 / 8

= 8,580 yards

Consequently, the task content is solved by converting number of miles to yards.

Complete question:

Great Adventures Canoe and Kayak company offers 3 different options as shown in the table. This afternoon a group of 15 friends paddle the different options in individual kayaks and 40% of the group paddle the Adventure Mid Trip. How many total yards will the friends who paddle the Adventure Mid Trip travel? (Hint: 1 mile = 1760 yards)

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The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.

Step-by-step explanation: