Volume of a Cone Level 1
height of 19
diameter of 18.7 ft

Answer:

1 : 7

Step-by-step explanation:

Given

5 miles : 35 miles ( divide both parts by 5 )

= 1 : 7 ← in simplest form

The average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -20.0 m/s.

To find the average velocity, we need to calculate the displacement of the particle during the given time interval and divide it by the duration of the interval. The displacement can be determined by subtracting the initial position from the final position.

At t=1.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(1.0 s)^2 + 5.0 m = -15.0 m.

At t=3.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(3.0 s)^2 + 5.0 m = -245.0 m.

The displacement during the interval is -245.0 m - (-15.0 m) = -230.0 m.

The duration of the interval is 3.0 s - 1.0 s = 2.0 s

Therefore, the average velocity is given by the displacement divided by the duration: (-230.0 m) / (2.0 s) = -115.0 m/s.

Hence, the average velocity of the particle over the interval t=1.0 s to t=3.0 s is -115.0 meters/second.

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We have to use the following formula

Where EV refers to the ending value ($9,250), IV refers to the initial value ($8,000).

This is the total return rate.

Now, we find the annual return

Where R = 0.156 and n = 5 years.

Then, we multiply by 100 to express it in percentage

Answer: The answer is 0.12

Step-by-step explanation:

Answer:

Choice a 10 cm

Step-by-step explanation:

Volume of a sphere; 4/3 x 3.14(r^3)

Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)

!!!used an online calculator for this!!!

Choice a: 4188.79

Choice b: 50965.01

Choice c: 38792.39

Choice d: 5575.2

Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.

I really hope this helps!!

Please rate!!

Have a wonderful day!!

Answer:

\((2x + 5) * (x^{2} + 6x - 10)\\= 2x (x^{2} + 6x - 10) + 5 (x^{2} + 6x - 10)\\= 2x^{3} + 12x^{2} - 20x + 5x^{2} +30x - 50\\= 2x^{3} + 12x^{2} + 5x^{2} - 20x + 30x - 50\\= \boxed{2x^{3} + 17x^{2} + 10x - 50}\)

Hope it helps ⚜

\((2x + 5) × (x² + 6x − 10)\)

\(\bold\pink{↪}\small\bold\red{2x(x² + 6x − 10) +5(x² + 6x − 10)}\)

\(\bold\pink{↪}\bold\red{2x³ + 12x² - 20x + 5x² + 30x - 50}\)

\(\bold\pink{↪}\bold\red{2x³ + 12x² + 5x² - 20x + 30x - 50}\)

\(\bold\pink{↪}\bold\red{2x³ + 17x² + 10x - 50}\)

correct answer is option C, i.e. vertical shrink by a factor of 1/6.

Given:

Two graphs are given, one is of f(x) = x^4 and other is of b(x)=6x^4.

Find:

we have to find the correct option.

Explanation:

when we transformed the graph

Answer: 48 cm^2

Step-by-step explanation:

The equation for the area of a triangle is 1/2(base*height). Plug in the numbers to get an equation of 1/2(8*12). 8*12 = 96. Now divide by 2. 96/2 = 48.

Answer:

48 cm^2

Step-by-step explanation:

a triangle area is hb/2

so 8*12=96

96/2=48 therefore 48 is the answer.

In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.

In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.

On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.

To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.

In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.

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Answer:

3/2 = X

Step-by-step explanation:

Step-by-step explanation:

Depends on what the question if th question is how many more tables she need the answer is 1 if it asked how many ppl sit and each table 5 ppl and 12 tables and 1 at the last table other than that in confussed

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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Answer: y=4-x/2

Step-by-step explanation:

Given:

The equations of system of equations are

\(y=-4x-6\)

\(-4x-y-6=0\)

To find:

The solution of given system of equations.

Solution:

We have,

\(y=-4x-6\)         ...(i)

\(-4x-y-6=0\)         ...(ii)

Adding y on both sides in (ii), we get

\(-4x-6=y\)

\(y=-4x-6\)

It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.

Thus, the system of equations has infinitely many solutions.

Therefore, the correct option is C.

There are 11,232,000 license plates consisting of three letters followed by three digits with no letter or digit repeated.

We can solve this problem using permutation, as we need to find the number of arrangements of three letters followed by three digits with no repetition.

There are 26 letters in the alphabet, so we can choose the first letter in 26 ways. For the second letter, we can choose from the remaining 25 letters, as we cannot use the same letter twice. Similarly, we can choose the third letter in 24 ways.

For the first digit, we have 10 options (0 to 9). For the second digit, we can choose from the remaining 9 digits (we cannot use the same digit twice). Similarly, we can choose the third digit in 8 ways.

Using the multiplication principle, we can find the total number of possible license plates:

26 × 25 × 24 × 10 × 9 × 8 = 11,232,000

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Answer:

A tourist receives 2376 ec currency in exchange for us 1200.

Step-by-step explanation:

This can be calculated as follows:

Tax rate = 1%

Amount of us currency = 1200

Total amount of ec currency = Amount of us currency * 2 = 1200 * 2 = 2400

Amount of tax = Total amount of ec currency * Tax rate = 2400 * 1% = 24

Net amount of ec currency = Total amount of ec currency - Amount of tax = 2400 - 24 = 2376

Net amount ec currency obtained above is the amount of ec currency which a tourist receives in exchange for us 1200.

Therefore, a tourist receives 2376 ec currency in exchange for us 1200.

The measure of angle A in the isosceles triangle ABC is 62.5 degrees.

In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).

Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.

Therefore, we have:

∠A ≅ ∠C

Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:

∠A + ∠B + ∠C = 180

Substituting the given values:

∠A + 55 + ∠A = 180

Combining like terms:

2∠A + 55 = 180

Subtracting 55 from both sides:

2∠A = 180 - 55

2∠A = 125

Dividing by 2:

∠A = 125 / 2

∠A = 62.5

Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.

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Answer:

31.4

Step-by-step explanation:

C=2πr

C=2·3.14.5

c=31.4

Answer:

circumference = 31.4

Step-by-step explanation:

Formula:

2πr

2 x 3.14 x 5

31.4 mm.

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Answer:

You can use the formula for the perimeter of a square to find the length of one of the square's sides. Then substitute that information into the formula for the area of a square and solve.

Step-by-step explanation:

Taking the exam same as you 90 % sure this is right

The area of the square can be gotten by using the perimeter of the square to get the length of the square. Then, we use the length to find the area of the square.

Therefore,

perimeter of a square = 4l

where

Therefore,

4l = 20

divide both sides by 4

l = 20 / 4

l = 5 meters

Therefore,

area of the square = l²

where

area of the square = 5²

area of the square = 25 cm²

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In the given hierarchical model, we have X_i|θ_i ~ Normal(0, σ^2), where θ_i ~ Normal(0, τ^2) for i = 1,...,n. The variables X_i are independent, and the variables θ_i are independent as well.

We are asked to calculate the marginal distribution of the X_i's and determine if they are marginally independent.

To calculate the marginal distribution of the X_i's, we need to integrate out the θ_i's. Since X_i|θ_i ~ Normal(0, σ^2), the integral of the product of the probability density functions (pdfs) of X_i and θ_i will give us the marginal distribution of X_i. This integration involves summing over all possible values of θ_i.

Regarding the marginal independence of the X_i's, in this hierarchical model, the X_i's are not marginally independent. Although the X_i's are conditionally independent given the θ_i's, their marginal distribution is influenced by the common distribution of the θ_i's. Thus, the marginal dependence arises from the dependence between the θ_i's.

In summary, we can calculate the marginal distribution of the X_i's by integrating out the θ_i's, but the X_i's are not marginally independent due to their dependence on the common distribution of the θ_i's.

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Answer:

There will be 5 zeros

Step-by-step explanation:

because the amoutnt of tens there are is the amount of zeros there are.

hope this helps

Answer:

There will be 5 zeros in the product because there are 5 10's in 5 * 10 * 10 * 10 * 10 * 10

An easier way is to just count how many zeros there are in the whole number and add them to the end.

Step-by-step explanation:

Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances. If you are looking to figure out the length of a road, the distance between two locations, etc, you would use kilometers.

Answer:

\(x+y =5\)

Step-by-step explanation:

Hi there!

Standard form: \(Ax+By=C\) where A, B and C are numbers

\(y = -x + 5\)

Move x to the other side:

\(x+y =5\)

I hope this helps!

The examples which represents the concept of area are Option A and option D.

The examples that require finding the area are,

The number of square tiles needed to cover a shower wall.

To determine the number of tiles needed, we need to calculate the area of the shower wall.

The distance from one side of a room to another represents the length.

The distance around the outside of a fence.

This is known as the perimeter, which requires adding up the lengths of all sides of the fence.

The amount of space a floor rug takes up.

The area of the floor rug represents the space it occupies.

The amount of water a bucket contains.

This refers to the volume of water, which is typically measured in cubic units.

Therefore, the examples that involve finding the area are A, and D.

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Answer:

Step-by-step explanation:

\frac{7^8}{7^n}=7^6

8-n=6

n=2

a) To determine if the treatment has a significant effect, we can perform a hypothesis test using the sample mean. The null hypothesis (H0) states that the treatment has no effect, while the alternative hypothesis (H1) states that the treatment does have an effect. In this case, we are conducting a two-tailed test with α = 0.05, meaning we are looking for extreme values in both tails of the distribution.

b) Using the same approach as in part a, we can calculate the z-score with a population standard deviation of σ = 12. Given M = 54, μ = 50, σ = 12, and n = 16, the z-score is calculated as z = (54 - 50) / (12 / √16) = 1.

To perform the test, we can calculate the z-score using the formula: z = (M - μ) / (σ / √n), where M is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. In this case, M = 54, μ = 50, σ = 8, and n = 16.

Plugging these values into the formula, we get z = (54 - 50) / (8 / √16) = 2. Using a z-table or a statistical calculator, we find that the critical z-value for a two-tailed test with α = 0.05 is approximately ±1.96.

Since our calculated z-value of 2 is greater than the critical value of 1.96, we reject the null hypothesis. This means that the sample mean of 54 is statistically significant and provides evidence that the treatment has a significant effect.

Comparing the calculated z-value of 1 to the critical z-value of 1.96, we see that the calculated value is less than the critical value. Therefore, we fail to reject the null hypothesis.

In other words, the sample mean of 54 is not statistically significant when the population standard deviation is 12, and we do not have sufficient evidence to conclude that the treatment has a significant effect.

The magnitude of the standard deviation (σ) plays a crucial role in hypothesis testing. A larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider distribution. As a result, it becomes more challenging to detect a significant effect of the treatment, as the variability in the data increases. This is evident when comparing parts a and b of the question.

In part a, where the population standard deviation is σ = 8, the calculated z-value of 2 exceeds the critical value of 1.96. This indicates that the sample mean of 54 is statistically significant, suggesting a significant effect of the treatment.

On the other hand, in part b, where the population standard deviation is larger at σ = 12, the calculated z-value of 1 is smaller than the critical value.

Consequently, we fail to reject the null hypothesis, implying that the sample mean of 54 is not statistically significant, and we cannot conclude that the treatment has a significant effect.

Thus, a larger standard deviation reduces the ability to detect a  significant effect in a hypothesis test.

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