What is the sum of the 9th square number and the 5th cube number?

Answer:

------------------

Let the angle be x.

Its complement is 90 - x and its supplement is 180 - x.

Set up an equation to reflect that its complement is 1/4 its supplement​:

Answer

1200

Step-by-step explanation:

initial fee: $80

per mile: $0.10

budget:$200

200-80=120

120 divided by 0.10 = 1200

you can drive 1200 miles with a budget of $200

Answer: x =  

-1/6 -2

explanation:

I looked it up on Math

way

Answer: x=-2 x=-1/6

Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.

(6x+1)(x+2)=0

set them both equal to zero and solve, foil your answer

Answer:

19320 kg/m³

Step-by-step explanation:

We are given that the density of gold is 19.32 g/cm³, and we want to convert that density to kg/m³.

We can solve this in a manner similar to dimensional analysis, which is common in chemistry. When we do dimensional analysis, we use conversion factors with labels that we cancel out in order to get to the labels that we want.

Recall that 1 kg is 1000 g, and 1 m³ is cm. These will be our conversion factors.

So, we can do the following:

\(\frac{19.32g}{1 cm^3} * \frac{1000000 cm^3}{1 m^3} * \frac{1kg}{1000g}\) = 19320 kg/m³

So, the density of gold is 19320 kg/m³.

Using the midpoint method, the price elasticity of demand is approximately -0.67.

To calculate the price elasticity of demand using the midpoint method, we'll use the following formula:

Price Elasticity of Demand (Ed) = (% change in quantity demanded) / (% change in price)

First, let's find the percentage changes:

% change in quantity demanded = ((New Quantity Demanded - Old Quantity Demanded) / Midpoint of Quantities) * 100
= ((80 - 100) / ((100 + 80) / 2)) * 100
= (-20 / 90) * 100
= -22.22%

% change in price = ((New Price - Old Price) / Midpoint of Prices) * 100
= ((7 - 5) / ((5 + 7) / 2)) * 100
= (2 / 6) * 100
= 33.33%

Now, let's plug the values into the formula:

Ed = (-22.22% / 33.33%)
= -0.67

So, the price elasticity of demand is approximately -0.67.

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Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A  = 26

Answer:

The measure of \(\angle A\):

\(\angle A = 26\textdegree\)

Step-by-step explanation:

Since both \(\angle A\) and \(\angle B\) are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of \(\angle A\): unknown

Measure of \(\angle B\): 64°

Finding the measure of \(\angle A\):

\(90 - 64 = 26\)

\(\angle A = 26\textdegree\)

So, the measure for \(\angle A\) is \(26\textdegree\).

Answer:

No

Step-by-step explanation:

The average rate of change of the function given is 56

The formula for calculating the rate of change of a function is expressed as;

f'(x) = f(b)-f(a)/b-a

where

b = 4

a = 2

f(4) = 2(4)^3 +1

f(4) = 129

f(2) = 2(2)^3 + 1

f(2) = 17

Substitute

f'(x) = 129-17/4-2

f'(x) = 112/2

f'(x) = 56

Hence the average rate of change of the function given is 56

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Answer:

$421.72

Step-by-step explanation:

Compounded Monthly Interest Rate Formula: A = P(1 + 4/12)^12t

Simply plug in our known variables:

A = 120(1 + 0.06/12)²¹⁽¹²⁾

A = 120(1.005)²⁵²

A = 120(3.51437)

A = 421.724

Answer: choice B

Step-by-step explanation:

just took the quiz

omm its B. G(x)=(x+8)^2

just took the test

Answer:

The answer should be D) y = 5/3x - 1/3

Step-by-step explanation: The slope is positive ruling out the negative slope answers leaving C and D, however D is the only answer to get the y intercept correct.

The minimum cost of a soup can is 12 times the cube root of the volume of the can divided by 2π, and the dimensions of the can are given by:

\(r = (V/(2\pi ))^{(1/3)}\\h = 2V/[(\pi (V/(2\pi ))^{(1/3))}]\)

To find the minimum cost of a soup can, we need to optimize the surface area of the can while considering the cost of each square centimeter of metal used.

Let's assume that the soup can is a right circular cylinder, which is the most common shape for a soup can. Let the radius of the can be "r" and the height be "h". Then, the surface area of the can is given by:

A = 2πr² + 2πrh

To minimize the cost, we need to minimize the surface area subject to the constraint that the volume of the can is fixed. The volume of a cylinder is given by:

V = πr²h

We can solve for "h" in terms of "r" using the volume equation:

h = V/(πr²)

Substituting this value of "h" into the surface area equation, we get:

A = 2πr² + 2πr(V/(πr²))

A = 2πr² + 2V/r

Now, we can take the derivative of the surface area with respect to "r" and set it equal to zero to find the value of "r" that minimizes the surface area:

dA/dr = 4πr - 2V/r² = 0

4πr = 2V/r²

r³ = V/(2π)

Substituting this value of "r" back into the equation for "h", we get:

h = 2V/(πr)

Therefore, the dimensions of the can that minimize the cost are:

\(r = (V/(2\pi ))^{(1/3)}\\h = 2V/[(\pi (V/(2\pi ))^{(1/3))]\)

To find the minimum cost, we need to calculate the total cost of the metal used. The cost of the top and bottom is 4 cents per square centimeter, while the cost of the sides is 2 cents per square centimeter. The area of the top and bottom is:

A_topbottom = 2πr²

The area of the sides is:

A_sides = 2πrh

Substituting the values of "r" and "h" we found above, we get:

\(A_topbottom = 4\pi (V/(2\pi ))^{(2/3)}\\A_sides = 4\pi (V/(2\pi ))^{(2/3)}\)

The total cost is:

\(C = 2(4\pi (V/(2\pi ))^{(2/3)}) + 4(4\pi (V/(2\pi ))^{(2/3)}) = 12(V/(2\pi ))^{(2/3)\)

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Answer:

0.246

hope this helps!

Answer:

It is 0.246

Step-by-step explanation:

123÷500=0.246

Answer:

C

Step-by-step explanation:

This question you can use simple elimination, can save you time if it's right. Obviously its not A or B as the hypotenous needs to be bigger than the base. Knowing the base is 32, there is not enough room to justify an additional 20 feet, eliminating D. Answer must be C. If you wanted to do it the right way use trig/socatoa to find the missing hypotenouse as the top angle of the triangle is 45, just like the other upside down one.

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Answer:

Step-by-step explanation:

we know that the interior angles are supplementary,

(2x-10)+(4x+16)=180

2x-10+4x+16=180

6x=180+6

6x=186

x=31

Answer:

A.measure of centre?

measure of spread is Independent variable ie y and dependent variable is x

B.measure canter integers

measure spread is variable x

I hope it helped

The solution of the system would be (3,6).

Lets solve the problem,

Other equation: y = 1/3x+5

Slope-Intercept Form: y = mx + b

Slope Formula:

y2-y1/x2-x1 = m

Have to find equation now:

m = (6 - 5)/(3 - 0)

m = 1/3

y = 1/3x + b

5 = 1/3(0) + b

b=5

y = 1/3x + 5

Lets put the substituition method here,

1/3x + 5 = -1/3x + 7

2/3x + 5 = 7

2/3x = 2

x = 3

y = 1/3(3) + 5

y = 1 + 5

y = 6

Therefore the coordinates are (3,6)

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Given the graph in the attached image.

The red line represents f(x) and the blue line represents g(x);

From the graph;

The intercept, b, of f(x) is

and the slope, m, of f(x) is;

So, f(x) is;

For g(x)

The y-intercept, b, of g(x) is;

and the slope, m, of g(x) is;

So, g(x) is;

To derive the solution, let us equate the two equations;

The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.

To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:

To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.

The distance from the charges on the axis and at 0 is x. Now we can write,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].

Now, we can substitute the values in the above expression and obtain,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .

Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.

Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

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Answer:

He ate 40% of it

Step-by-step explanation:

20/50 is 2/5, which is basically 4/10 therefore equaling 40%

Rounding to the nearest foot, we get that the distance from point A to point B is approximately 204 feet.

Let's call the distance from point A to the lighthouse "x," and let's call the distance from point B to the lighthouse "y."

We want to find the distance from point A to point B, which is the difference between x and y.

From the first measurement, we can use trigonometry to find that:

tan(12°) = 107/x

Multiplying both sides by x, we get:

x tan(12°) = 107

Solving for x, we get:

x = 107 / tan(12°)

≈ 514.62 feet

From the second measurement, we can use trigonometry to find that:

tan(20°) = 107/y

Multiplying both sides by y, we get:

y tan(20°) = 107

Solving for y, we get:

y = 107 / tan(20°)

≈ 310.32 feet

The distance from point A to point B is:

x - y ≈ 204.3 feet

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The required integral is ∫0¹ ∫x²¹ f(x, y) dydx will be approximately equal to 0.103

The given integral is ∫0¹ ∫x²¹ f(x, y) dydx.

To evaluate this double integral,

we first integrate with respect to y and then integrate with respect to x. Integrating with respect to y:

∫x²¹ f(x, y) dy = [(-1/2)e-y²2x]

x²¹= (-1/2)e-x⁴ + (1/2)e-2x⁴.

Now, integrating this result with respect to x:

∫0¹ (-1/2)e-x⁴ + (1/2)e-2x⁴ dx=[(-1/8)e-x⁴ + (1/16)e-2x⁴]

0¹= (-1/8)e-1 + (1/16)e-2.

Evaluating this expression,

We will get the value of the given integral as approximately 0.103 to 3 decimal places.

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Answer:

135=

3=5−10

Step-by-step explanation:

im not good at this but my mom said to try so i its not right

Answer:

The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4).  Just connect the dots to make the triangle.

Let me know if anything did not make sense.  

Step-by-step explanation:

Reflect just means how far away is each point to the line of reflection?  then ake a new point the sae distance, but in the opposite direction.  You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.

So the three points are A:(3,1), B:(5,1) and C:(3,4)

Now use a horizontal line to measure how far A, B and C are from x=2.

A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left.  so (3,1) becomes (1,1)  The y value does not change since you are only using the horizontal direction for reflection.  B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)

Now the second reflection is the exact same process, but witht he new points reflected across x = -3.  So the new points are (-7,1) (-5,1) and (-7,4).

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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False. While it may be tempting to round the optimal solution of a linear programming model down to the nearest integer value to solve a mixed integer programming problem, this approach is not always guaranteed to produce an optimal solution.

In fact, mixed integer programming problems require specialized algorithms and techniques that are specifically designed to handle integer variables in the objective function and constraints. These methods search for feasible solutions within the space of integer values, which can be more computationally intensive than solving a linear programming model.

So, while rounding the optimal solution of a linear programming model may sometimes provide a good approximate solution to a mixed integer programming problem, it is not always the best or most reliable way to solve these types of problems.

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The ordered pairs for the function are [-2,7] [-1,1] [0,-1] [1,1] [2,7] and graph is attached below and the pattern form a parabola.

A pair of numbers written in a certain sequence is known as an ordered pair. The standard notation for ordered pairs is (x, y), where x denotes the x-coordinate and y denotes the y-coordinate.

Finding the ordered pairs by putting the value of x,

Putting x = -2,

\(y = 2x^2 - 1 \\y = 2(-2)^2 - 1 \\= 8 - 1 \\= 7\)

So, the ordered pair is (-2,7).

Putting x = -1,

\(y = 2x^2 - 1 \\y = 2(-1)^2 - 1 \\= 2 - 1 \\= 1\)

So, the ordered pair is (-1,1).

Putting x = -1,

\(y = 2x^2 - 1 \\y = 2(-1)^2 - 1 \\= 2 - 1 \\= 1\)

So, the ordered pair is (-1,1).

Putting x = -1,

\(y = 2x^2 - 1 \\y = 2(-1)^2 - 1 \\= 2 - 1 \\= 1\)

So, the ordered pair is (-1,1).

Putting x = 0,

\(y = 2x^2 - 1 \\y = 2(0)^2 - 1 \\= - 1\)

So, the ordered pair is (0,-1).

Putting x = 1,

\(y = 2x^2 - 1 \\y = 2(1)^2 - 1 \\= 2 - 1 \\= 1\)

So, the ordered pair is (1,1).

Putting x = 2,

\(y = 2x^2 - 1 \\y = 2(2)^2 - 1 \\= 8 - 1 \\= 7\)

So, the ordered pair is (2,7).

The graph is attached below and the ordered pair form a parabola.

Therefore, the ordered pair are [-2,7], [-1,1], [0,-1], [1,1], and [2,7]. The graph is attached below and the pattern forms a parabola.

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