The formula for the volume of a sphere is uppercase v = four-thirds pi r cubed. what is the formula solved for r?

Answer:

  2.75

Step-by-step explanation:

A graph shows the left function intersects the right function between x=2 and x=3, eliminating choice D.

A table shows the difference between the left function and the right function is closest to zero for x=2.75.

The expressions that have 2/3 as the product are A. \(\frac{4}{5}\times\frac{5}{6}\) and E. \(\frac{6}{7}\times\frac{7}{9}\). These are calculated by the simplification method.

The product is obtained by the multiplication of two or more other numbers together. For example, let us consider two numbers 2 and 9. Multiply these two numbers. We get 27. This number is considered the product of the two numbers 3 and 9.

To find whether the given expression has a product as 2/3, perform simplification for the given expressions.

Simplifying the first expression,

\(\begin{aligned}\frac{4}{5}\times\frac{5}{6}&=\frac{4}{6}\\&=\frac{2}{3}\end{aligned}\)

Simplifying the second expression,

\(\begin{aligned}\frac{7}{8}\times\frac{9}{10}=\frac{63}{80}\end{aligned}\)

Simplifying the third expression,

\(\begin{aligned}\frac{1}{3}\times\frac{2}{3}=\frac{2}{9}\end{aligned}\)

Simplifying the fourth expression,

\(\begin{aligned}\frac{3}{4}\times\frac{7}{12}=\frac{7}{16}\end{aligned}\)

Simplifying the fifth expression,

\(\begin{aligned}\frac{6}{7}\times\frac{6}{9}&=\frac{6}{9}\\&=\frac{2}{3}\end{aligned}\)

The required answer is options A and E.

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The complete question is -

Choose all the expressions that have \(\frac{2}{3}\) as a product

A. \(\frac{4}{5}\times\frac{5}{6}\)

B. \(\frac{7}{8}\times\frac{9}{10}\)

C. \(\frac{1}{3}\times\frac{2}{3}\)

D. \(\frac{3}{4}\times\frac{7}{12}\)

E. \(\frac{6}{7}\times\frac{7}{9}\)

The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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By solving the given inequality in question, i.e -8+2x>4 , the solution obtained is x>6, which means the inequality satisfies for all the values of x that are greater than 6.

An inequality is a statement that compares two values and asserts that one value is greater than, less than, or not equal to the other value. Inequalities are used to describe a range of values that a variable can take on. The most common symbols used to express inequalities are ">", "<", "≥" and "≤", which represent "greater than", "less than", "greater than or equal to" and "less than or equal to" respectively.

An example for inequality can be , the inequality x > 2 , which states that x is greater than 2, which means that any value of x that is greater than 2 satisfies the inequality.

Inequality can be solved either graphically or algebraically. The solution of an inequality is the set of all values that make the inequality true.

To solve the inequality -8 + 2x > 4, you can follow these steps:

So the solution of the inequality is x > 6.

This means that x is greater than 6. So any value of x that is greater than 6 satisfies the inequality.

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In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer: Thanks! Same to you, hope you have a good life.

Step-by-step explanation:

You too, I guess! Thanks for the points.

Answer:

The correct options are;

0.4 represents the height of each block

0.6 represents the height of the base

Step-by-step explanation:

The given information are;

The activity Kirima is engaged in = Building a wall

The process by which she is building the wall includes

1) Construction of a base on the floor

2) Piling blocks of uniform height to form the wall

3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;

From her procedure, we have the constants, which are the values that do not change as follows;

1) The firm base

2) The uniformly sized blocks

Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern

There is only one firm base

Therefore, the constant that has a variable is the uniform sized blocks

Which gives in the expression 0.4·x + 0.6, we have;

0.4 = The dimension of the uniform sized blocks

∴ 0.6 = The dimension of the firm base.

Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

A. left 3, up 4

Step-by-step explanation:

Doing it on EDG right now!

Good luck to yalls :)

Answer:

x =5

Step-by-step explanation:

2(5x – 2) – 2x– 2 = 34

Distribute

10x-4-2x-2 = 34

Combine like terms

8x -6 = 34

Add 6 to each side

8x-6+6 = 34+6

8x = 40

Divide by 8

8x/8 = 40/8

x =5

Answer:

x=5

can you also please mark me as brainliest?

The xy-term in the equation \(x^2 + 14xy - y^2 + 5 = 0\), we can use the rotation formulas with either \(\theta\) = 0 or \(\theta\) = π. The resulting equations will have no xy-term, but the solutions will differ in the signs of x and y depending on the choice of rotation.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

To eliminate the xy-term in the equation \(x^2 + 14xy - y^2 + 5 = 0\), we can use a rotation transformation to align the coordinate axes with the principal axes of the conic section. The appropriate rotation formula to use is:

\(x = x' \cos(\theta) - y' \sin(\theta) \ y = x' \sin(\theta) + y' \cos(\theta) \end{cases}\)

By choosing the angle \(\theta\)  appropriately, we can eliminate the xy-term in the transformed equation. Let's proceed step by step.

Step 1: Set up the original equation:

\(x^2 + 14xy - y^2 + 5 = 0\)

Step 2: Introduce the new variables \(x' \ and \ y'\) using the rotation formulas:

\(x = x' \cos(\theta) - y' \sin(\theta) \ y = x' \sin(\theta) + y' \cos(\theta) \end{cases}\)

Step 3: Substitute the new variables into the original equation:

\((x' \cos(\theta) - y' \sin(\theta))^2 + 14(x' \cos(\theta) - y' \sin(\theta))(x' \sin(\theta) + y' \cos(\theta)) - (x' \sin(\theta) + y' \cos(\theta))^2 + 5 = 0\)

Step 4: Expand and simplify the equation:

\(x'^2 \cos^2(\theta) - 2x'y' \cos(\theta) \sin(\theta) + y'^2 \sin^2(\theta) + 14x'^2 \cos^2(\theta) \sin(\theta) + 14xy' \cos^2(\theta) + 14x'y' \sin^2(\theta) + 14y'^2 \cos(\theta) \sin(\theta) - x'^2 \sin^2(\theta) - 2x'y' \cos(\theta) \sin(\theta) - y'^2 \cos^2(\theta) + 5 = 0 \end{align*}\)

Step 5: Group terms and simplify further:

\((x'^2 - y'^2)\cos^2(\theta) + (14xy' - 2x'y')\cos(\theta) \sin(\theta) + (x'^2 - y'^2)\sin^2(\theta) + 14xy' \cos^2(\theta) + 14y'^2 \cos(\theta) \sin(\theta) + 5 = 0 \end{align*}\)

Step 6: Determine the angle \(\theta\)  such that the coefficient of the cross-term cos(\(\theta\) ) sin(\(\theta\) ) becomes zero. In this case, we want:

\(14xy' - 2x'y' = 0\)

Step 7: Solve the equation \(14xy' - 2x'y' = 0\) to find the value of \(\theta\) :

\(14xy' = 2x'y' \Rightarrow 14x = 2x'\)

From the equation 14xy' = 2x'y', we can deduce that 14x = 2x', which implies x' = 7x. Substituting this value back into the rotation formulas, we have:

x = 7x cos(\(\theta\) ) - y sin(\(\theta\))

y = 7x sin(\(\theta\) ) + y cos(\(\theta\) )

To eliminate the xy-term, the coefficient of xy' should be zero. In this case, the coefficient is 14x, which implies 14x = 0. Therefore, x = 0.

Substituting x = 0 into the rotation formulas, we get:

0 = -y sin(\(\theta\) )

y = y cos(\(\theta\) )

From the equation 0 = -y sin(\(\theta\) ), we can deduce that sin(\(\theta\) ) = 0, which means theta = 0 or theta = pi (180 degrees).

When theta = 0, the rotation formulas become:

x = x'

y = y'

When theta = pi, the rotation formulas become:

x = -x'

y = -y'

Either of these rotations will eliminate the xy-term from the equation. However, it's important to note that rotating by an angle of pi will result in the same equation, just with the signs of x and y reversed.

Hence, the xy-term in the equation \(x^2 + 14xy - y^2 + 5 = 0\), we can use the rotation formulas with either \(\theta\) = 0 or \(\theta\) = π. The resulting equations will have no xy-term, but the solutions will differ in the signs of x and y depending on the choice of rotation.

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Answer:

it's 4

Step-by-step explanation:

#4 because we can see how x repeats its self 2 times such as (-3,0) and (-3,8)

Answer:

50

Step-by-step explanation:

→ Evaluate n as 1, 2, 3 and 4 in 5n

5, 10, 15 and 20

→ Find the sum of these numbers

5 + 10 + 15 + 20 = 50

Answer:

100

Step-by-step explanation:

g

Answer:

Zack wins.

Step-by-step explanation:

Vanessa's score = \(-3\frac{5}{8}\)=-3.625

Zack's score = \(-3\frac{2}{3}\)=-3.667

Answer: the answer is D: Comparing the decimal equivalents of their scores shows that Zack won because Negative 3.Modifying Above 6 with bar  is less than –3.625.

Step-by-step explanation: i got it right on the test Hope it helps! :)

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.

P(X ≥ 10) = 1 - P(X < 10)

Using a binomial probability formula, we can calculate the probability of getting exactly k successes:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where C(n, k) represents the binomial coefficient.

Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)

P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9

Using this formula, we can calculate the probability:

P(X < 10) ≈ 0.121

Therefore, the probability of getting 10 or more successes in the binomial experiment is:

P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879

Rounding to three decimal places, the probability is approximately 0.879.

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Answer:

Integers

Step-by-step explanation:

The multiplier of 0.5% is 0.005

A percentage multiplier is a number that is used to calculate a percentage of an amount

In order to determine 0.5% of a number we can multiply the number by a multiplier:

0.5% = 0.5/100 = 0.005

Therefore, 0.005 is the multiplier

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Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

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

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

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

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

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. \(cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}\)

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

\(tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x\)

Using a calculator x would be about 8.4

Answer:

Step-by-step explanation:

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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Answer:

140 degrees.

Step-by-step explanation:

All circles are made up of \(360^\circ\). Each of the angles provided are called central angles, which means when we add them all together, we will get a total of \(360^\circ\)

Notice the little red box, which indicates a \(90^\circ\) angle. From the circle, we know the following angles:

\(\angle{RQS}=130^\circ\)

\(\angle{TQS}=90^\circ\)

We can write and solve an equation to solve for the missing angle, \(\angle{RQT}\):

\(\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ\)

Combine like terms:

\(230^\circ+\angle{RQT}=360\)

Subtract \(230^\circ\) from both sides:

\(\angle{RQT}=140^\circ\).

Answer:

\(x=-9\)

Step-by-step explanation:

We translate the phrase into an equation:

\(2+3(x-5)=4(x-1)\\\)

Then we simplify:

\(2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x\)

Answer:

(3,-3)

Step-by-step explanation:

It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.

The actual height of the tower is 160 feet.

Given that, a scale model of a tower is 24 inches.

The scale is 1.5 inches:10 feet.

We know that, 1 foot = 12 inches

So, the scale 1.5 inches : 120 inches.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

1.5/120 = 24/The actual height of the tower

1.5×The actual height of the tower = 24×120

The actual height of the tower=2880/1.5

= 1920 inches

In feet = 1920/12

= 160 feet

Therefore, the actual height of the tower is 160 feet.

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Answer:

8

Step-by-step explanation:

c^2 is 9, 2d is 4

9-4+3=8