Which polygon has an interior angle sum of 360Degrees?

Answer:

67

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

Answer: \(b=\sqrt{95}\)

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

\(7^2+b^2=12^2\)      [exponent]

\(49+b^2=144\)     [subtract both sides by 49]

\(b^2=95\)               [square root both sides]

\(b=\sqrt{95}\)

Now we know \(b=\sqrt{95}\).

The top of the ladder sliding down the vertical wall with  -0.75 feet/s  when the bottom of the ladder is 6 feet from the vertical wall using pythagoras theorem and then differentiate the equation.

Given that the ladder is 10 feet long.

To calculate

velocity with which top of the ladder sliding.

given

x= -6 feet

y = 8 feet

By pythagoras  theorem  

   \(x^{2} +y^{2}\) = \(10^{2}\)

differentiate the given equation with respect to t

   2 x \(\frac{dx}{dt} +\) 2 y \(\frac{dy}{dt}\)  = 0

    x * \(\frac{dx}{dt}\)  = - y * \(\frac{dy}{dt}\)

   \(\frac{dy}{dt}\)=   \(\frac {\frac{-x dx}{dt}}{y}\)

   \(\frac{dx}{dt}\) = \(V_{x}\)    ,  \(\frac{dy}{dt}\) =\(V_{y}\)

\(V_{y}\) =-((-6)/8) *(1 feet)

\(V_{y}\) = -0.75 feet/s

so, the velocity at which the top of the ladder sliding down the vertical wall when the bottom of the ladder is 6 feet is -0.75 feet/s .

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The triple integral of the arbitrary continuous function f(x, y, z) over the given solid in spherical coordinates is:

∫∫∫ f(r, θ, φ) r^2 sinθ dr dθ dφ,

where the limits of integration are:

r: 0 to 2

θ: 0 to π/2

φ: 0 to 2π

To set up the triple integral in spherical coordinates, we need to express the volume element in terms of spherical coordinates and determine the limits of integration.

The given solid is defined in terms of the variables a and b, where a = 4 and b = 9. We need to interpret these values in terms of spherical coordinates.

In spherical coordinates, the radial coordinate r represents the distance from the origin, the polar angle θ represents the inclination from the positive z-axis, and the azimuthal angle φ represents the rotation around the z-axis.

The limits of integration for r, θ, and φ can be determined based on the shape of the solid. From the given equation, it is clear that the solid is a cone with its vertex at the origin and its base in the xy-plane.

Since the radius of the base is b, we have r = b at the base. Therefore, the maximum limit of integration for r is b = 9.

To determine the limits for θ, we note that the solid extends from the positive z-axis (θ = 0) to the plane containing the base (θ = π/2). Thus, the limits for θ are 0 to π/2.

For φ, the solid is rotationally symmetric around the z-axis. Therefore, the limits for φ are 0 to 2π, covering a full revolution.

Now, we can express the volume element in terms of spherical coordinates. The volume element in spherical coordinates is given by dv = r^2 sinθ dr dθ dφ.

Combining all the components, the triple integral becomes:

∫∫∫ f(r, θ, φ) r^2 sinθ dr dθ dφ,

with the limits of integration:

r: 0 to 2

θ: 0 to π/2

φ: 0 to 2π

This represents the setup for evaluating the triple integral of the arbitrary continuous function f(x, y, z) over the given solid using spherical coordinates.

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\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \)

\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} \)

The Solution is = \( \frac{5}{7}\)

\(\text\red{One Solution set is possible.}\)

Answer:

Please help me now Solve

Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

Approximately 3372 babies weighed more than 4 kg out of the 9256 babies born at the hospital last year.

To determine approximately how many babies weighed more than 4 kg, we can use the normal distribution and the given information about the average weight and standard deviation.

Since we know that the weights of newborns at this hospital closely follow a normal distribution, we can use the Z-score formula to find the proportion of babies weighing more than 4 kg. The Z-score measures how many standard deviations a particular value is from the mean.

First, we calculate the Z-score:

Z = (X - μ) / σ

Z = (4 - 3.39) / 0.55

Z ≈ 1.1

Using a standard normal distribution table or a calculator, we can find the proportion of babies weighing more than 4 kg corresponding to the Z-score of 1.1. This proportion represents the area under the curve to the right of 4 kg.

Let's assume that the proportion is approximately 0.3643. To find the number of babies, we multiply this proportion by the total number of babies born at the hospital:

Number of babies = 0.3643 * 9256 ≈ 3372

Therefore, approximately 3372 babies weighed more than 4 kg.

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Answer:

x+3y=15

idrk how to explain but thats the answer

Answer:

I think B or D

Step-by-step explanation:

Answer: 400 milliliters

Step-by-step explanation: To find 80 percent of 500 you first covert the percentage into a decimal. To do this, you move the decimal point two spaces to the left. 80.0% becomes 0.8 as a decimal. Then you multiply it by 500. 500 times 0.8 equals 400.

A range of values used to estimate the true value of a population parameter is a B. confidence interval.

A confidence interval is a range of values that is used to estimate the true value of a population parameter, such as a population mean or proportion. It provides a range of plausible values within which the true parameter value is likely to fall, based on a sample from the population. The confidence interval is constructed based on the sample data and takes into account the variability in the data and the desired level of confidence. It is an important statistical tool that helps in making inferences about population parameters with a certain degree of certainty.

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Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

Answer:

Jared

Step-by-step explanation:

4/25 is larger than 3/25

Answer:

The juice is 1 dollar

2+1= 3

2+2+2+1=7

hoped this helped

Answer:

The juice is worth $2.50

Step-by-step explanation:

7$- 3$ = 4$

1.50 *3 = 4.50

4.5 + 2.50 = 7

The apples are worth a $1.50

I hope this helps you!

Answer:

D. 0.43

hope this helps :)

Answer: THE ANSWER IS 4.3

Step-by-step explanation: Itook the test

To determine the force acting on the truck rolling down the hill, we need to use the equation F = m*a, where F is the force, m is the mass of the truck, and a is the acceleration. Given the distance traveled and the time taken, we can calculate the acceleration. By plugging in the mass and acceleration into the equation, we can find the force acting on the truck.

Using the formula F = ma, we can calculate the force acting on the truck. Given that the distance traveled is 400m and the time taken is 20s, we can determine the acceleration by using the formula a = (2d)/(t^2), where d is the distance and t is the time. Plugging in the values, we find the acceleration. Next, we convert the mass of the truck from metric tonnes to kilograms by multiplying it by 1000, as 1 metric tonne is equal to 1000kg. Finally, we substitute the mass and acceleration values into the equation F = m*a to find the force acting on the truck.

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Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

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Answer:

100$

Step-by-step explanation:

20 %of 500 =20×500:100 =10.000 :100 =100$

Answer: 3

Step-by-step explanation:  When you translate that formula to f(0)=-2x+3 you can see it much clearer the number without a variable tied to it is the y-intercept.

The correct option is 1/(n+1).The upper bound for the integral is 1/(n+1).

To determine the upper bound, we can use the fact that the integrand is bounded by its maximum value on the interval. The maximum value of the integrand on the interval [0, 1] is:

f(x) = 5x(1 + x)^(0.5)

At x = 1, f(x) = 5(1 + 1)^(0.5) = 5√2.

Therefore, an upper bound for the integral is:

In ≤ 5√2∫x^n dx

             0

Using integration by parts, we obtain:

In ≤ 5√2[x^(n + 1)/(n + 1)]_0^1

= 5√2/ (n + 1)

Therefore, the upper bound for the integral is 1/(n+1).

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Answer:

34

Step-by-step explanation:

Distribute

2x+14-2x+20

Combine like terms

34

Answer:

34

Step-by-step explanation:

Remember to do PEMDAS, multiply the number out side of the parentheses with what 9s inside of them.

Answer:

6x2 − 12x − 30

Answer:

−2x^2 + x + 4

Step-by-step explanation:

Whether the two ratios are 2: 3 and 2: 3 or a proportion

4: 6 and 12: 18

\($\frac{4}{6}$\)   and

\($\frac{12}{18}=\frac{2}{3}$\)   and

2/3

=2: 3 and 2: 3

Yes the given two ratios form a proportion.

The complete question is:

Check whether the given two ratios form a proportion or not: 4: 6  12: 18

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hey. I wish I could help but even me I'm not good at it. my cousin usually helps me do it but he's not around I'm sorry say.

The statement "If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0" is not entirely correct.

In a differential equation of the form dy/dt = f(t)g(y), the equilibrium solutions are the constant solutions where dy/dt = 0. These occur when g(y) = 0.

To find the equilibrium solutions, we need to solve g(y) = 0. Once we have found these solutions, we can determine their stability by analyzing the sign of f(t) near these equilibrium values. If f(t) is positive near an equilibrium value, the solution is unstable (i.e., solutions near the equilibrium will move away from it). If f(t) is negative near an equilibrium value, the solution is stable (i.e., solutions near the equilibrium will move towards it).

So, while f(t) = 0 may be useful in some cases for finding equilibrium values, it is not the correct approach for finding all equilibrium solutions in a differential equation of the form dy/dt = f(t)g(y). The equilibrium solutions are found by solving g(y) = 0.

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