The volume of a sphere can be found using the formula V = 3/4πr^3, where r is the radius of the sphere. Ray is calculating the volume of a sphere with a radius measured in millimeters. What will the unit for the volume be?

Answer:

28.

Step-by-step explanation:

I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.

*And I accidentally clicked the one star option, that's why it has such a low score.

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

The value of y is 28.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

m∠CAB = 34

m∠CBA = x - 5

m∠ACB = 4y

Triangle ABC is an isosceles triangle.

AC and BC are sides are equal.

This means,

m∠CAB = m∠CBA

34 = x - 5

34 + 5 = x

x = 39

Now,

The sum of the angles in a triangle is 180 degrees.

This means,

34 + (x -5) + 4y = 180

34 + (39 - 5) + 4y = 180

34 + 34 + 4y = 180

68 + 4y = 180

4y = 180 - 68

y = 112 / 4

y = 28

We can cross-check.

34 + 34 + 4 x 28 = 180

34 + 34 + 112 = 180

180 = 180

Thus,

The value of y is 28.

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Area of small sector is 1620 square meters and Area of large sector  is 12960 square meters

Area of sector = 1/2r²θ

r is the radius of the circle which is 9cm

The area of small and large sectors we have to find

Small sector has θ value of 40 degrees

and large sector has 320 degrees

Area of small sector = 1/2(9)²×40

=1/2×81×40

=1620 square meters

Area of large sector = 1/2(9)²×320

=81×160

=12960 square meters

Hence, area of small sector is 1620 square meters and Area of large sector  is 12960 square meters

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To prove that \(\mathbf{x = \frac{62}{9}}\) given that \(9(x+6)-41=75\), the following are the missing statements and reasons for the stated proof:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

Given the algebraic equation, 9(x+6) − 41 = 75, to prove that x = 62/9, we would solve the equation using several properties as shown below:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given (You first of all state what is given)

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

This is arrived at as shown below:

\(9(x+6) - 41 + 41 =75 + 41\\\\9(x+6) = 116\)

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

This is arrived at as shown below:

\(9 \times x + 9 \times 6 = 116\\\\9x + 54 = 116\)

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

This is arrived at as shown below:

\(9x + 54 - 54 = 116 - 54\\\\9x = 62\)

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

This is arrived at as shown below:

\(9x = 62\\\\\mathbf{x = \frac{62}{9}}\)

In summary, to prove that \(\mathbf{x = \frac{62}{9}}\) given that \(9(x+6)-41=75\), the following are the missing statements and reasons for the stated proof:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

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Answer:

you have to substitute the value of the variables then solve

Answer:

D

Step-by-step explanation:

Given:

6^1/3 is equivalent to 3√6

Let

k = 1/3

6^k = 3√6

Cube both sides of the equation

(6^k)^3 = (3√6)^3

(3√6)^3 ( cube root cancel power cube (

6^3k = 6^1

They both have the same base, so it cancels out

3k = 1

Divide both sides by 3

k = 1/3

Therefore, option D shows why 6^1/3 is equivalent to 3√6

Answer:

100+80+60+40+20×12345 =247.100

Step-by-step explanation:

oay iam sory girl

Step-by-step explanation:

First of all, let us lay down the clues;

●There is a 20% discount on the mobile set.

●The price after the discount is Rs 13 920

●We need to find the original price.ie.(100% stands for original price)

Now let's start;As there is a 20% Discount on the m.Set, we need to find the exact percentage decrease.

So,

100%-20%= 80%

Now let's do Direct Proportion,

80%= Rs 13 920

1%= 13 920/80

100%= 13 920/80*100=Rs 17 400

RS 17 400

Answer:

can you write the question so I can understand what to do

Simplifying the expression resulted to x° = x

The expression x° = ½ • (30 + 2x – 30) can be simplified as follows:

The term 30 - 30 simplifies to 0, so we can remove it from the expression:

x° = ½ • (30 + 2x - 30)

x° = ½ • (2x)

We can simplify the fraction ½ by dividing the numerator by the denominator:

x° = x

Therefore, the solution to the equation x° = ½ • (30 + 2x – 30) is x = x°. In other words, any value of x is equal to its corresponding value in degrees.

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Answer:

-5

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here,

We have to determine:

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; g(x) = f(x - 9)

here, we have,

The straight-line x=6 is a vertical asymptote of the graph of the function  g(x) = f(x - 9) if at least one of these conditions is true:

we have,

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

we know,

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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The interquartile range for the data set are

Andre

Interquartile Range: = 2

For Lin

Interquartile Range = 8

For Noah

Interquartile Range = 8

For Andre

Min: 25 the minimum number

Q1: 27 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 30 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 27 = 2

For Lin

Min: 20 the minimum number

Q1: 21 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 32 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 21 = 8

For Noah

Min: 13 the minimum number

Q1: 15 (the third position)

Median: 20 (the sixth position)

Q3: 23 (the 9th position)

Max: 25 (the maximum number)

Interquartile Range: Q3 - Q1 = 23 - 15 = 8

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The image vertices for a dilation with center (0,0) and a scale factor of 4 are given as follows:

A'(-12, 4), B'(16, -12), C'(8, 12) and D'(-4,16).

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the original figure are given as follows:

A(-3,1), B(4,-3), C(2,3) and D(-1, 4).

The scale factor of the dilation is given as follows:

k = 4.

Hence the vertices of the dilated figure are the vertices of the original figure multiplied by 4, as follows:

A'(-12, 4), B'(16, -12), C'(8, 12) and D'(-4,16).

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Answer:

the value of M(2) would be 43

Step-by-step explanation:

M(2) mean y

y = 9t+25

= y=9(2) + 25

y = 18 + 25

y = 43

Answer:

Step-by-step explanation:

M(2) = 43; If Hazel mows 2 yards, she will earn $43.

The population size after four days is 121.

Given that,

a population of protozoa with a constant relative growth rate of 0.8603 per member per day

let P be the population size and let t be the time interval then the given system modeled by the differential equation

\(\frac{dP}{dt}\) = 0.8603

by solving the separable equation and expifying both sides we get,

P = A \(e^{0.8603t}\)

From the condition that on day zero the population consist of four members,

i.e. P(0) = 4, A = 4

Therefore population size after four days is

P(4) = 4\(e^{4(0.8603)}\)

      = 4 \(e^{3.441}\)  

      = 4 × 30.295

P(4) =  121.2

nearest whole number is 121

i.e P(4) = 121

Hence the population size after four days is 121.

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The empirical formula of a compound is the simplest and lowest whole number ratio of the atoms of each element that makes up a compound.

To find the empirical formula from percentages, you need to first calculate the mass of each element present in the compound, based on the percentage of each element. Once you have the mass of each element, divide each mass by the atomic mass of that element to get the number of moles of each element. Then divide each mole by the smallest number of moles to get the mole ratio. This ratio is the empirical formula for the compound.

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Given : P(1, −3, 10) to Q(0, 7, −1), part of parabola y=−2x2 from (−1,−2) to (2,−8), and part of a circle of radius 4, centered at the origin, traced out counterclockwise with initial point ( 4.0) and terminal point (0,−4).a) We know that the equation of a line segment is r(t) = P + t(Q - P)Here, P(1, −3, 10) and Q(0, 7, −1)

Therefore, the vector function is given by:r(t) = (1 - t) i - 3(1 - t) j + 10(1 - t) k + 0 i + 7t j - t k= i - 3 j + 10 k + t(-i + 7 j - k)So, the vector function is r(t) = < i - t, -3 + 7t, 10 - t >.b) The part of the parabola y = -2x² from (-1, -2) to (2, -8) can be parameterized by x(t) = t and y(t) = -2t²

Here, x varies from -1 to 2 so we have the limits of integration as -1 to 2

Therefore, the vector function is given by :r(t) = i t + j (-2t²) = < t, -2t² >c) Part of a circle of radius 4, centered at the origin, traced out counterclockwise with initial point (4.0) and terminal point (0, −4). We know that the equation of a circle with radius r and center (a, b) is given by :r² = (x - a)² + (y - b)²

Here, the radius is 4 and the center is (0, 0)The equation is x² + y² = 16Using parametric equations x = r cosθ and y = r sinθ and taking θ = 0 at (4, 0), we have:r cosθ = 4 cosθ = 4/rr sinθ = 0 sinθ = 0

Here, θ varies from 0 to π/2We have the vector function :r(θ) = 4 cosθ i + 4 sinθ j = < 4 cosθ, 4 sinθ >Therefore, the vector function is r(θ) = < 4 cosθ, 4 sinθ >.

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Answer:

y=2x+3

Step-by-step explanation:

slope is rise over run. goes up to and over one so your slope is 2/1 or 2.

the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.

so, y=2x+3

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

By permutation without repetition, there are 524160 possible different special pizzas.

The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as

P = n! / (n - k)!

where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.

From the question above, we know that :

n = 16

k = 5

By substituting the parameters, we can determine all of the possible different pizzas

P = n! / (n - k)!

P = 16! / (16 - 5)!

P = 16! / 11!

P = 16 x 15 x 14 x 13 x 12 x 11! / 11!

P = 524160

Hence, there are 524160 possible different special pizzas

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The probability of red, given yes is 5/12.

To find the probability of red, given yes, we need to use Bayes' theorem, which states that:

P(Red / Yes) = P(Yes / Red) * P(Red) / P(Yes)

where P(Yes | Red) is the probability of getting yes given that the ball is red, P(Red) is the probability of the ball being red, and P(Yes) is the probability of getting yes.

From the table, we can see that:

                            Red                   Blue                     Total

      Yes                 15                      21                          36

      No                  38                      13                          51

      Total               53                     34                          87

P(Red) = 53/87

P(Yes) = 36/87

P(Yes | Red) = 15/53

Plugging these values into the formula, we get:

P(Red | Yes) =\(\frac{\frac{15}{53}*\frac{53}{87} }{\frac{36}{87} }\)

                    = 15/36

                    = 5/12

Therefore, the probability of red, given yes, is 5/12.

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

y = mx + b

3 = 4(4) + b

Answer: y = 4x + 13

Hope this helps :)

The factor in the study is the group to which the participants belong. In the research, there were two groups.

The first group of 50 individuals was given a new drug, while the second group of 50 individuals was given an existing drug. The aim of the research was to determine if the new drug is more effective than the current drug in treating severe depression. As such, the researcher is interested in comparing the effects of the new drug to the existing drug in treating severe depression. The group that the participants belong to is the factor in the study since it is what the researcher is comparing. In general, a factor in an experiment is an independent variable. It is a variable that has a significant effect on the results of the study, and the researcher manipulates it in a controlled manner. In this case, the factor is the group that the participants belong to.

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Answer:

43

Step-by-step explanation:

you find the answer then fart in a jar and throw it at ur grandma

Answer:

Step-by-step explanation:

Probability of P.B.J. : milk : cookie being picked is; 1:12

Twelve possible combos one is P.B.J. : milk : cookie

Answer:

See the explanation bellow

Step-by-step explanation:

Given data

We are told that the total pounds of garbage is modeled by

f(x) = 50x + 5200

comparing the above expression with the equation of a line

y= mx+c,

we can see that

f(x) represents y, which the total garbage collected in pounds

m is 50 which is the amount of garbage in pounds collected per year

x is the number of years

and 5200 is the already existing garbage in pounds

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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