A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

x⁴-3x³+x²-4 is the answer

Step-by-step explanation:

\( {x}^{4} - 3 {x}^{3} + {x}^{2} - 4\)

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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Answer:

1. 6/10 2? 3.3/4 4. 1/3

Step-by-step explanation:

there is none.0.3333333333333333333333 is just 1/3.also this is NOT 8th grade math i am in 6th

Answer:

0.6=6/10

3.405=681/200

0.75=3/4

0.33=1/3

Thus, the answer is option (c) 97 mph.

An outlier is a value that lies significantly away from the rest of the values in the dataset. For a given dataset, we can determine outliers using z-scores.According to the problem statement, the mean speed of the fastballs thrown by major league baseball pitchers is 87 mph, and the standard deviation is 3 mph. To determine which speed is an outlier, we need to find its corresponding z-score.z = (x - μ) / σHere, x is the speed we want to test, μ is the mean speed, and σ is the standard deviation of speeds.Using the formula above, we can calculate the z-scores for each speed given in the options:a. z = (84 - 87) / 3 = -1b. z = (92 - 87) / 3 = 1.67c. z = (97 - 87) / 3 = 3.33d. z = (81 - 87) / 3 = -2Since a z-score of ±2 or higher is generally considered an outlier, the speeds of 97 mph and 81 mph are classified as outliers. Thus, the answer is option (c) 97 mph.

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Answer:

for b

Step-by-step explanation:

r and s are congruent because they're both supp to the same angle

Answer:

what does it say

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

Since the two bottom angles add up to be congruent to the top angle, this is true:

5x - 8 + 28 = 11x + 16

Solve

20 = 6x + 16

4 = 6x

x = 2/3

Answer:

4x4x4x4=256

Step-by-step explanation:

Answer:

Step by step solution

Step-by-step explanation:

\(a_1 = -1\\a_4 = 14\\a_4 = a_1 + 3d\\14 = -1 + 3d\\15 = 3d\\d = 5\\a_1 = -1\\a_2 = 4\\a_3 = 9\\a_4 = 14\)

Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

\(v=\sqrt{gh}\)

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

\(v=\sqrt{10\times 4000}\\\\v=200\ m/s\)

So, the speed of the tsunami is 200 m/s.

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17

The Annual operating cost of the refrigerator = Energy consumed × Cost of electricity= 1324.74 kWh × $0.09 per kWh = $119.22 (approx.)Hence, the answer is $119.22 (approx.)

Given:Power consumed by the old refrigerator = 202 WAssuming the refrigerator operates for 18 hours every day.Cost of electricity is $0.09 per kWh.Solution:Power consumed by the old refrigerator in an hour = 202 WTime for which the refrigerator operates every day = 18 hours Energy consumed by the refrigerator in a day = Power consumed × Time = 202 W × 18 hours = 3636 Wh Energy consumed by the refrigerator in a year (365 days) = 3636 Wh × 365 days= 1324740 Wh = 1324.74 kWhCost of electricity is $0.09 per Therefore, Annual operating cost of the refrigerator = Energy consumed × Cost of electricity= 1324.74 kWh × $0.09 per kWh = $119.22 (approx.)Hence, the answer is $119.22 (approx.).

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The sum of the 25th term of the AP 3, 10, 17 is 171.

The sum of the 25th term of an arithmetic progression (AP) 3, 10, 17 can be found using the formula for the nth term of an arithmetic progression, which is:
aₙ = a₁ + (n - 1) d
where aₙ is the nth term, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, a₁ = 3, d = 10 - 3 = 7, and n = 25. Plugging in these values into the formula, we get:
a₂₅ = 3 + (25 - 1) 7
a₂₅ = 3 + 168
a₂₅ = 171

Therefore, the sum of the 25th term of the AP 3, 10, 17 is 171.

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Therefore, the solution to the equation is x = 3.

A logarithmic equation is an equation in which a variable appears inside a logarithmic function. In other words, it is an equation in which the unknown quantity appears in the argument of a logarithm.

Logarithmic equations are often used to solve problems involving exponential growth or decay, as well as in various areas of mathematics, science, engineering, and finance.

A general logarithmic equation can be written in the form:

\(log(base a)(x) = b\)

where a is the base of the logarithm, x is the unknown variable, and b is a constant.

To solve a logarithmic equation, you would typically use properties of logarithms to simplify the equation and isolate the variable. Then, you would use algebraic techniques to solve for the variable.

using the properties of logarithms, we can simplify the equation as follows:

log₂(4x²) - log₂(6x) = 2

log₂[(4x²)/(6x)] = 2

log₂(2x/3) = 2

Now we can rewrite the equation in exponential form:

2^2 = 2x/3

\(4 = 2x/3\)

Multiplying both sides by 3/2, we get:

\(x = 6/2 = 3\)

Therefore, the solution to the equation is x = 3.\(2^2 = 2x/3\)

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Answer: one-sixth

Step-by-step explanation:

Noah drew the circle which is divided into six equal parts

This shows that cherries must be divided into six persons

each sector of the circle is  \(\frac{1}{6}^{th}\) of the whole circle

From this, we can conclude that each person receives  \(\frac{1}{6}\)  pound of cherries.

Answer:

answer is pp

Step-by-step explanation:

Answer:

4+4=8

7-1=6

Step-by-step explanation:

Try using your fingers

Answer:

8π(2.5)^2

Step-by-step explanation:

volume = π * r^2 * h

v = π * (2.5)^2 * 8

Answer:

45°

Step-by-step explanation:

This is right triangle with equal legs of √31

Since two sides are equal and the angle between them is 90°, other angles are equal and their value is:

Answer is m∠V= 45°

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

Answer:

Step-by-step explanation:

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

Step-by-step explanation:

Answer:

Probability

Step-by-step explanation:

Answer:

Probability.

Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.

Answer:

18 pounds = 48 pizzas

18 pounds = 48 pizzas 22.5 pounds = 60 pizzas

18 pounds = 48 pizzas 22.5 pounds = 60 pizzas 27 pounds = 72 pizzas

Step-by-step explanation:

1) because they are ratios you multiply 18 and 8 (18 × 8 = 144) then you divide 144 by 3 (144÷3 =48)

2) now you do the same thing multiply 22.5 and 48 (22.5 × 48= 1,080) and divide 1,080 by 18 (1,080 ÷ 18= 60)

3) multiply 27 times 60 (27 × 60= 1,620) now divide 1,620 by 22.5 (1,620 ÷ 22.5= 72)

The table is:

Cheese   Number of Pizzas

3 pounds          8

18 pounds        48

22.5 pounds    60

27 pounds        72

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

3 pounds bag of cheese makes 8 pizzas.

This means,

3 pounds = 8 pizzas

1 pound = 8/3 pizzas

Now,

1 pound = 8/3 pizzas

Multiply 18 on both sides.

18 pounds = 18 x 8/3

18 pounds = 48 pizzas

1 pound = 8/3 pizzas

Multiply 22.5 on both sides.

22.5 pounds = 22.5 x 8/3

22.5 pounds = 60 pizzas

1 pound = 8/3 pizzas

Multiply 27 on both sides.

27 pounds = 27 x 8/3

27 pounds = 72 pizzas

Thus,

The number of Pizzas for 3 pounds is 8.

The number of Pizzas for 18 pounds is 48.

The number of Pizzas for 22.5 pounds is 60.

The number of Pizzas for 27 pounds is 71.

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Answer:

Nothing provided

Step-by-step explanation:

The solution to 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distribution of opportunities, resources, or rights among people or groups. It can be found in wealth, income, health, education, access to services and resources, and legal rights. Inequality is a social phenomenon that affects people differently depending on race, gender, age, or background. Inequality can be a result of unequal access to resources, differences in power dynamics, or the unequal distribution of resources among people or groups. It can lead to disparities in health, education, and economic outcomes for those who experience it. Inequality can be addressed through policies that promote equity and inclusion, such as targeted education initiatives and access to employment opportunities.

The reason this is happening is because when solving inequalities, we must isolate the variable on one side of the inequality sign. In this case, we can do this by adding 162 to both sides of the inequality. This will move the -21 to the other side and the result is a>-162.

In order to ensure that the solution is correct, it is important to check the answer by substituting a value larger than -162 into the inequality. If the value satisfies the inequality, then the solution is correct.

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The sοlutiοn tο 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distributiοn οf οppοrtunities, resοurces, οr rights amοng peοple οr grοups. It can be fοund in wealth, incοme, health, educatiοn, access tο services and resοurces, and legal rights. Inequality is a sοcial phenοmenοn that affects peοple differently depending οn race, gender, age, οr backgrοund. Inequality can be a result οf unequal access tο resοurces, differences in pοwer dynamics, οr the unequal distributiοn οf resοurces amοng peοple οr grοups. It can lead tο disparities in health, educatiοn, and ecοnοmic οutcοmes fοr thοse whο experience it. Inequality can be addressed thrοugh pοlicies that prοmοte equity and inclusiοn, such as targeted educatiοn initiatives and access tο emplοyment οppοrtunities.

The reasοn this is happening is because when sοlving inequalities, we must isοlate the variable οn οne side οf the inequality sign. In this case, we can dο this by adding 162 tο bοth sides οf the inequality. This will mοve the -21 tο the οther side and the result is a>-162.

In οrder tο ensure that the sοlutiοn is cοrrect, it is impοrtant tο check the answer by substituting a value larger than -162 intο the inequality. If the value satisfies the inequality, then the sοlutiοn is cοrrect.

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Complete question:

What is the solution to 3/4a>-16?

a>-21 1/3

a<-21 1/3

a>21 1/3

a<21 1/3

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

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Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

The volume of the solid bounded below by the circular cone z=1.5√(x^2+y^2) and above by the sphere x^2+y^2+z^2=2.75 is (1/6)π(2.75)^3 - (1/6)π(1.5)^3.

To find the volume, we need to determine the limits of integration. The cone equation suggests that we should integrate over the region defined by z=1.5√(x^2+y^2). The sphere equation defines the upper boundary.

Using spherical coordinates, we have the following limits:

ρ: from 0 to √2.75 (radius of the sphere)

θ: from 0 to 2π (full revolution)

φ: from 0 to π/3 (the cone angle)

The volume element in spherical coordinates is ρ^2sin(φ)dρdθdφ. Substituting the given equations into the volume element, we get (ρ^2sin(φ))(ρ^2sin(φ))dρdθdφ.

Integrating with respect to ρ first, we have ∫[0 to π/3] ∫[0 to 2π] ∫[0 to √2.75] (ρ^4sin^2(φ))dρdθdφ.

Simplifying further, we obtain ∫[0 to π/3] ∫[0 to 2π] (1/5)(√2.75)^5sin^2(φ)dθdφ.

Integrating with respect to θ, we have ∫[0 to π/3] (2π)(1/5)(√2.75)^5sin^2(φ)dφ.

Now integrating with respect to φ, we get (2π)(1/5)(√2.75)^5(φ - (1/2)sin(2φ)) evaluated from 0 to π/3.

Substituting the limits and simplifying, we find the volume of the solid to be (1/6)π(2.75)^3 - (1/6)π(1.5)^3.

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