How would you find the velocity of this? Please answer asap♥️

John is rolling down a 0.9km hill. It takes him 28s to make it to the bottom. What was John’s velocity?

To calculate the mass of the cone K, we need to integrate the density function δ(x, y, z) over the volume of the cone. The density function is given as δ(x, y, z) = x^2z, and we are considering the part of the cone where z ≤ 2.

To perform the integration, we can use triple integrals with appropriate limits of integration. The mass (M) of the cone can be calculated as follows:

M = ∭ δ(x, y, z) dV

where dV represents the volume element. In this case, since the cone is defined in terms of cylindrical coordinates (ρ, θ, z), the volume element is ρ dρ dθ dz.

The limits of integration for ρ, θ, and z can be determined based on the geometry of the cone. In this case, since the cone is defined as z = √(x^2 + y^2) with z ≤ 2, we can convert the equation to cylindrical coordinates as ρ = z and the limits become ρ = z, θ ∈ [0, 2π], and z ∈ [0, 2].

Substituting these limits and the density function into the integral, we have:

M = ∫∫∫ x^2z ρ dρ dθ dz

Performing the integration, we can obtain the mass of the cone K.

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Answer:

C. -6b-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

b -11b

Answer:

0.804

Step-by-step explanation:

First, we can express 0.1 as 0.100 for easier subtraction.

Then, we can subtract 0.100 from 0.904.

0.904 - 0.100 = 0.804.

Note: You can use the traditional subtracting method to get the answer too.

Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

we know that,

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

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Answer:

y=-1.25x-4.25

Step-by-step explanation:

I had the same assignment.

The equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

The formula for calculating the equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (0, -b) and (c, 0)

Since b  = -4 and c = -3.5

The required coordinate  points will be (0, 4) and (-3.5, 0)

Substitute the given parameters into the given formula for calculating the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-4}{-3.5-0} \\m = \frac{4}{3.5}\\m = 8/7\)

Substitute m = 8/7 and the point (0, 4) into the expression \(y-y_0=m(x-x_0)\)

\(y-4=\frac{8}{7} (x-0)\\7(y-4)=8x\\7y-28=8x\\7y-8x=28\)

Hence the equation of the line that passes through (0,-b) and (c,0) is

7y - 8x = 28

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Answer: 2.) the interquartile range is 10

Step-by-step explanation: see pic

I hope this helps :)

Answer:

7-2x=y

Step-by-step explanation:

When a point passes through a line it satisfies its equation

(X-x0 )m= y-y0

Slope = m = -2

(X-2 )(-2)=y-3

4-2x=y-3

7-2x=y

Answer:

a

Step-by-step explanation:

something are very complex

Answer:

dog, digestive system, small intestine, blood, red blood cell

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Y did u put this under mathematics?

190.1 112 101.9 101.89 100.779 1

not sure

GOOD LUCK

Answer:

The radius is 23cm

Hope this Helps

Step-by-step explanation:

Answer:

Radius equals to approximately 23

Step-by-step explanation:

46/2

Answer:

x = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Two triangles created by the intersection of two transversals between parallel lines will always be similar. This is because when two parallel lines are cut by a transversal,  two of which are congruent alternate interior angles.

Since the third angle of a triangle is equal to 180 degrees minus the sum of the other two angles, both triangles will have an equal third angle, making them similar. Additionally, the fourth angle in both triangles will also be congruent. This means that the two triangles will share two congruent angles and a proportional side. Therefore, the two triangles are similar.

If the parallel lines and the transversal are drawn to scale, then the sides of the triangles will also be proportional to each other. This is because the transversal divides the parallel lines into segments with the same ratio as the corresponding sides of the triangles. This means that the sides of the triangles will be proportional to each other, making them similar.

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Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.

Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.

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Answer:yes

Step-by-step explanation:they are equal

Answer:

area of the rectangle is length *breadth

length =(x+5)

breadth =(x-5)

=(x+5)(x-5)=x^2-5x+5x-25=x^2-25

Answer:

\(\boxed {\boxed {\sf a=x^2-25}}\)

Step-by-step explanation:

The area of a rectangle is the product of length and width.

\(a=l*w\)

The length is (x+5) and the width is (x-5).

\(a= (x+5)(x-5)\)

We have two binominals, so we can multiply using FOIL: First, Outside, Inside, Last.

\(a= x^2-5x+5x-25\)

Combine the like terms: -5x and 5x. They cancel each other out.

\(a=x^2-25\)

The area of the rectangle is x²-25

i. there are 214 families who watch at least one platform.

ii. there are 71 families who watch exactly one platform.

To find the number of families who watch at least one platform, we need to add up the number of families who watch each platform individually and subtract the number of families who watch all three platforms.

i. The number of families who watch at least one platform:

= (Number of families who watch Netflix) + (Number of families who watch Hulu) + (Number of families who watch Amazon Prime video) - (Number of families who watch all three platforms)

\(= 123 + 124 + 110 - 143\)

\(= 214\)

Therefore, there are 214 families who watch at least one platform.

ii. The number of families who watch exactly one platform can be found by adding up the number of families who watch each platform individually and subtracting the number of families who watch more than one platform.

ii. The number of families who watch exactly one platform:

= (Number of families who watch Netflix) + (Number of families who watch Hulu) + (Number of families who watch Amazon Prime video) - 2 * (Number of families who watch all three platforms)

\(= 123 + 124 + 110 - 2 * 143= 71\)

Therefore, there are 71 families who watch exactly one platform.

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Answer:

5 would be the answer.

Step-by-step explanation:

13 divided by 3(weeks) = 4.3

4.3 x 5 = 21.

= 5.

The given syllogism is valid from both the Boolean and Aristotelian standpoints, with a mood of OAO and a figure of 2.

To determine the validity of this syllogism, we can use Venn diagrams to represent the premises and conclusion. The first premise states that some snowflakes are not uniform solids, which can be represented by shading a region outside of the circle representing uniform solids within the circle representing snowflakes. The second premise states that all snowflakes are six-pointed crystals, which can be represented by completely shading the circle representing snowflakes within the circle representing six-pointed crystals.

Using these representations, we can see that the conclusion, "therefore, some six-pointed crystals are not uniform solids," is valid from both the Boolean and Aristotelian standpoints. This is because there is a shaded region outside of the circle representing uniform solids within the circle representing six-pointed crystals.

The mood of this syllogism is "I, A, O" (i.e. the first premise is particular affirmative, the second premise is universal affirmative, and the conclusion is particular negative) and the figure is 1 (i.e. the middle term is the subject of the premises and the predicate of the conclusion).

Cross-checking our answer with the table of valid syllogisms, we can see that this syllogism falls under the mood "I, A, O" and figure 1, which is listed as valid. Therefore, our conclusion is correct.
Using a Venn diagram to analyze the given categorical syllogism, we have the following premises:

1. Some snowflakes are not uniform solids. (O-type)
2. All snowflakes are six-pointed crystals. (A-type)

And the conclusion:

3. Some six-pointed crystals are not uniform solids. (O-type)

To check for validity from the Boolean standpoint, we'll draw a Venn diagram with three circles: Snowflakes (S), Uniform Solids (M), and Six-Pointed Crystals (P).

1. For the first premise, shade the area where snowflakes and uniform solids do not overlap.
2. For the second premise, place all of the snowflakes within the six-pointed crystals circle.

Now, observe if the conclusion (some six-pointed crystals are not uniform solids) is true in the diagram. There is a shaded area within the six-pointed crystals circle that does not overlap with uniform solids, so the conclusion is true.

This syllogism is valid from the Boolean standpoint. From the Aristotelian standpoint, it's also valid because the distribution of the terms complies with the rules of traditional logic.

The mood of the syllogism is OAO, and the figure is determined by the position of the middle term (M) in the premises. In this case, the middle term (uniform solids) appears as the predicate in the first premise and the subject in the second premise, making it a second figure syllogism.

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Answer:

x = 0.1

Step-by-step explanation

The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.

So, the frequency of the white allele (CW) can be calculated as follows:

CW = 1 - CR

Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:

CW = 1 - 0.7

  = 0.3

Therefore, the frequency of the white allele (CW) in this population is 0.3.

In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).

The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.

By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.

This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

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Complete Question

Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.

What is the frequency of the white allele (CW ) in this population?

Answer:

x = 25

Step-by-step explanation:

When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.

5x - 5 + 2x + 10 = 180

~Combine like terms

7x + 5 = 180

~Subtract 5 to both sides

7x = 175

~Divide 7 to both sides

x = 25

Best of Luck!

Answer: x = 25

Step-by-Step Explanation:

We are given a line, hence it is a straight angle being 180°

Therefore,

=> 5x - 5 + 2x + 10 = 180

= 5x - 5 + 2x = 180 - 10 = 170

= 5x + 2x = 170 + 5 = 175

= 7x = 175

=> x = 175/7 = 25

Therefore, x = 25

Additionally, finding the values of each angle :-

=> 5x - 5

= 5(25) - 5

= 125 - 5

=> 120°

=> 2x + 10

= 2(25) + 10

= 50 + 10

=> 60°

Therefore, one angle is 120° and the other is 60°

Shep arranged the numbers 1 through 8 to create the largest possible number with each numeral only being used once. He placed the 8 in the ten-thousands place, ensuring that it held the highest value possible.

Then, he had to decide where to place the remaining numbers to maximize the overall value of the number. He placed the 7 in the thousands place, followed by the 6 in the hundreds place, the 5 in the tens place, and the 4 in the ones place. This created the number 87,654,321, which is the largest possible number that can be created using the given digits with each numeral only being used once. Therefore, Shep successfully arranged the numbers to create the largest possible number.

Shep needs to arrange the numbers 1 through 8 to form the largest possible number, with 8 in the ten-thousands place. To achieve this, Shep should arrange the remaining numbers in descending order. Therefore, the largest number he can create is 87,654,321. This arrangement ensures that the highest numerals occupy the most significant places, making it the maximum possible value with the given constraints.

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Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\(\pi r^2\\= \pi ( 5 )^2\\= 25\pi\) - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, \(l= \sqrt{r^2+h^2}\) -

\(\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi\)- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

\(25\pi + 25\sqrt{2} \pi\) - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

\(1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi\)- Volume = 41 and 2 / 3π