Which point most closely represents V20 on the number line above?

There are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.

Tangent function is a kind of trigonometric function, that is, a kind of transcendent function. This function has a period of π radians and for f(x) = tan x, the vertical asymptotes are contained in the points:

x = 0.5π + i · 2π, where i is an integer.

Hence, there are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.

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1. y= -5

2. m=0

3. I dont know

1. 3x+4y=-20

x=0

3×0+4y=-20

0+4y=-20

y=-5

2. m=y/x

m=0/1

m= 0

3. Sorry

Answer:

153.94

Step-by-step explanation:

Find the area of the sector:

A = (1/4)(14^2π)

A = (1/4)(196π)

A = 49π

A ≈ 153.94

If a differentiable function f: ℝ³ ⟶ ℝ has an absolute maximum value K ≠ 0 and an absolute minimum m, then the function f must have a critical point where the derivative of the function is zero (or undefined).

Given that, suppose f : ℝ³ ⟶ ℝ is a differentiable function which has an absolute maximum value K ≠ 0 and an absolute minimum m.

Since f is continuous on a compact set, it follows that f has a global maximum and a global minimum. We are given that f has an absolute maximum value K ≠ 0 and an absolute minimum m. Then there exists a point a ∈ ℝ³ such that f(a) = K and a point b ∈ ℝ³ such that f(b) = m.Then f(x) ≤ K and f(x) ≥ m for all x ∈ ℝ³.

Since f(x) ≤ K, it follows that there exists a sequence {x_n} ⊆ ℝ³ such that f(x_n) → K as n → ∞. Similarly, since f(x) ≥ m, it follows that there exists a sequence {y_n} ⊆ ℝ³ such that f(y_n) → m as n → ∞.Since ℝ³ is a compact set, there exists a subsequence {x_nk} and a subsequence {y_nk} that converge to points a' and b' respectively. Since f is continuous, it follows that f(a') = K and f(b') = m.

Since a' is a limit point of {x_nk}, it follows that a' is a critical point of f, i.e., ∇f(a') = 0 (or undefined). Similarly, b' is a critical point of f. Therefore, f has at least two critical points where the derivative of the function is zero (or undefined). Hence, the statement is true.

Therefore, the above explanation is verified that if a differentiable function f: ℝ³ ⟶ ℝ has an absolute maximum value K ≠ 0 and an absolute minimum m, then the function f must have a critical point where the derivative of the function is zero (or undefined).

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To find the circumference of a circle with a radius of 7 cm, Erin should use 2×7×π. This is because the circumference of a circle is calculated by the formula 2×π×r.

The circumference is the measure of the perimeter of a circle. Since we know that from every point on the circle to its center has an equal length and is said to be its radius, the perimeter of the circle we can write as

Circumference = 2 × π × r units.

Here r is the radius of the circle.

It is given that Erin wants to find the circumference of a circle with a radius of 7 cm.

So, first, she has to know the formula for finding the circumference.

Here the radius is given as 7 cm i.e., r = 7 cm

Then, the circumference of the given circle is

= 2 × π × r

On substituting the radius value into the above formula, we get

Circumference = 2 × π × 7 cm

⇒ 14π cm

So, she needs to use option A. 2 × 7 × π  for finding the required circumference. This is the first step for finding the circumference of a circle.

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Given:

Slope is undefined.

To find:

Which graph has an undefined slope?

Solution:

We know that, slope is change in y-values with respect to x-values.

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

The slope is undefined if the denominator is 0.

\(x_2-x_1=0\)

\(x_2=x_1\)

It means, the x-values are same. It is possible only for a vertical line.

Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form \(x=a\), where, a is a constant and it can be any real number.

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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Answer: -8

Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8

The summation notation \(\sum\limits^{2}_{n = 0} (-52 + n)\) when evaluated has a value of -153

From the question, we have the following notation that can be used in our computation:

\(\sum\limits^{2}_{n = 0} (-52 + n)\)

This means that we substitute 0 to 2 for n in the expression and add up the values

So, we have

\(\sum\limits^{2}_{n = 0} (-52 + n) = (-52 + 0) + (-52 + 1) + (-52 + 2)\)

Evaluate the sum of the expressions

So, we have

\(\sum\limits^{2}_{n = 0} (-52 + n) = -153\)

Hence, the solution is -153

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The relative maximum of the function occurs at the point (175, 53.8).

To find the relative maximum of the function, we need to determine the highest point on the graph of the function. The relative maximum occurs at the vertex of the parabolic function.

The vertex of a quadratic function in the form h = ax^2 + bx + c is given by the x-coordinate:

x = -b / (2a)

In the given function, h = -0.002d^2 + 0.7d + 6.8, we can identify a = -0.002 and b = 0.7.

Substituting the values into the formula, we have:

x = -(0.7) / (2 * (-0.002))

Simplifying:

x = 0.7 / 0.004

x = 175

To find the y-coordinate of the vertex, we substitute x = 175 back into the equation:

h = -0.002(175)^2 + 0.7(175) + 6.8

Calculating:

h ≈ 53.8

Therefore, the relative maximum of the function occurs at the point (175, 53.8).

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The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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No, the current optimal solution may not remain optimal.

To determine if the current optimal solution remains optimal after adding a new variable x3, we need to examine the relation between primal optimality and dual feasibility.

In the primal LP, the current optimal tableau indicates that the artificial variables a1 and a2 are present in the basis. This suggests that the original problem is infeasible. The presence of artificial variables in the basis indicates that the original problem had no feasible solution. Thus, the current optimal solution is not valid.

When we add a new variable x3 and modify the primal LP accordingly, we need to solve the modified LP to determine the new optimal solution. The modified LP has a different constraint and objective function, which can lead to different optimal solutions compared to the original LP.

Therefore, the current optimal solution may not remain optimal when we add a new variable and modify the primal LP.

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Answer:

24 coffee mugs are dirty

Step-by-step explanation:

because 25% of 96 is 24

The value of k, representing the decrease in temperature in the mesosphere for every additional 10 kilometers from Earth's surface, is -7° Celsius.

To determine the value of k, we need to find the change in temperature per kilometer in the mesosphere. Given that the temperature at 50 kilometers is -5° Celsius and the temperature at 80 kilometers is -80° Celsius, we can calculate the temperature difference between these two points.

The temperature difference is -80° Celsius minus (-5° Celsius), which is -80 + 5 = -75° Celsius.

Since this temperature difference occurs over 30 kilometers (80 km - 50 km), we can find the temperature change per kilometer by dividing the temperature difference by the distance:

-75° Celsius / 30 kilometers = -2.5° Celsius per kilometer.

Therefore, the value of k, representing the decrease in temperature per additional 10 kilometers, is -2.5° Celsius / 3 = -7° Celsius.

Hence, the value of k is -7° Celsius.

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2.5 + 3 = 5.5 total speed

7miles / 5.5 mph = 1.27 hours

Answer:

1.27 hours

Step-by-step explanation:

The first step in this process would be adding both rates of Leila and Han together. We know Leila walks at 2.5 miles per hour and Han at 3 miles per hour.

\(2.5 + 3 = 5.5\)

We got our sum as 5.5, so now we must complete Step 2, which is the final step. We must divide 7 by 5.5.

\(7 / 5.5 = 1.2727...\)

1.2727 ≈ 1.27

the answer to the Question is 1.27 hours.

Answer:

x2=45/50

Step-by-step explanation:

z=71. the box of 15 is 75

When a point is reflected over the y- axis, it keeps its y-coordinate, and its x coordinate is multiplied by -1. Thus the coordinates of the new point are

That is the reflection over the y-axis.

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

Answer:

gallons

Step-by-step explanation:

There are no other options other then gallons

Cassie should use gallons to eliminate the need to write the value in scientific notation.

Volume represents the space that a substance or 3D shape occupies or contains.

Units of volume are cubic meter, litre, gallon etc.

Since teaspoons, cubic inches etc are smaller units of the volume so we need to represent the volume of the fish tank in scientific notation.

Gallon is the bigger unit of the volume so we do not need to write the value in scientific notation.

Hence, Cassie should use gallons to eliminate the need to write the value in scientific notation.

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The relationship between x and y is y = 0.25x + 1.

Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form. One of the formulas used to get a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

Given,

A basket with 4 apples weighs 2 pounds.

Slope intercept form:

y = mx + b

Equation:

2 = 4m +b ..(1)

A basket with 12 apples weighs 4 pounds

4 = 12m + b ... (2)

Solving,

2 = 4m + b

4 = 12m + b

4 = 8m

Divide the second equation by 8:

2 = 4m + b

m = 0.25

b = 1

The relationship between x and y is y = 0.25x + 1.

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Answer:

Infinite

Step-by-step explanation:

ANY line segment can have INFINITE bisectors crossing it

The value of the car, after 14 years with a depreciation rate of 13.5% per year, will be approximately $2,010.70.

To calculate the value of the car after 14 years, we need to apply the depreciation rate of 13.5% per year to the original value of $18,000.

First, we need to determine the annual depreciation amount. The annual depreciation is calculated by multiplying the original value by the depreciation rate. In this case, the annual depreciation amount is 13.5% of $18,000, which is $2,430.

Next, we need to calculate the value of the car after each year of depreciation. We subtract the annual depreciation amount from the previous year's value. After 14 years, the value of the car will be:

$18,000 - ($2,430 x 14) = $18,000 - $34,020 = $-16,020

However, a negative value does not make sense in this context. So, we can assume that the car's value has depreciated to zero after 14 years, meaning it has no value remaining.

Therefore, the value of the car, to the nearest cent, after 14 years will be approximately $2,010.70.

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Answer:

yes3244

Step-by-step explanation:

i will help 5642

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Answer:

The answer is n⊥m I think.

Answer:

\( x = 1, \: \: x = \frac{2}{3} \)

Step-by-step explanation:

\( \sqrt{3x + 1} - \sqrt{2 - x} = \sqrt{2x - 1} \\ \\ squaring \: both \: sides \\ \\ ( \sqrt{3x + 1} - \sqrt{2 - x})^{2} = ( \sqrt{2x - 1} ) ^{2} \\ \\ 3x + 1 + 2 - x - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = 2x - 1 \\ \\ \cancel{ 2x} + 3 - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = \cancel{ 2x} - 1 \\ \\ 3 - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 1 \\ \\ - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 1 - 3 \\ \\ - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 4 \\ \\ ( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = 2 \\ \\ squaring \: both \: sides \: again \\ { [( \sqrt{3x + 1} ) ( \sqrt{2 - x} )] }^{2} = {2}^{2} \\ \\ (3x + 1)(2 - x) = 4 \\ \\ 6x - 3 {x}^{2} + 2 - x = 4 \\ \\ - 3 {x}^{2} + 5x - 2 = 0 \\ \\ 3 {x}^{2} - 5x + 2 = 0 \\ \\ 3 {x}^{2} - 3x - 2x + 2 = 0 \\ \\ 3x(x - 1) - 2(x - 1) = 0 \\ \\ (x - 1)(3x - 2) = 0 \\ \\ x - 1 = 0, \: \: 3x - 2 = 0 \\ \\ x = 1, \: \: x = \frac{2}{3} \)

Answer:

Step-by-step explanation:

What we have as information:

6 apples

1 apple = 8 ounce

She pays 3.74 for each pound

Since we know that 1 pound is 16 ounces, that means that 1 apple is half a pound or we could say that 2 apples is 1 pound.

2+2+2 = 6 apples

(since 2 apples is one pound and there are 3 groups of 2,we can say that she bought 3 pounds)

3 times 3.74 = 11.22

She pays 11$ and 22cents.