Which of the following is not a real number?


A. √1


B. √0


C. √-2


D. √2

Answer:

$4928.87

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 250

r = 15% = 0.15

n = 12

t = 20

Step 2: Solve

Considering the situation described, it is found that:

a) The numeric values of the piecewise function are as follows:

b) The new piece-wise function is:

c) The new piece-wise function is:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the rule is one for times up to 40 hours, and another for times greater than 40 hours, hence the numeric values are given as follows:

For item b, the new reference is of 38 hours, hence the function is:

For item c, the new hourly wage is of 12 hours, hence the rule is:

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Answer:

Options (A), (B) and (C)

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Opposite angles are equal.

3). Adjacent pair of angles is supplementary.

4). Diagonals bisect each other.

By property number (4),

WP ≅ YP

BY property number (1),

XY ≅ WZ

By property number (1),

XY║WZ and WY is a transversal line,

∠YWZ = ∠WYX [Alternate interior angles]

Options (A), (B) and (C) are the correct options.

Answer:

B

Step-by-step explanation:

We have the equation:

\(V=\pi r^2h\)

And we want to solve it for r.

We can first divide both sides by π and h. This will cancel out the right-hand side:

\(\displaystyle r^2=\frac{V}{\pi h}\)

Now, we can take the principal square root of both sides. Hence:

\(\displaystyle r=\sqrt{\frac{V}{\pi h}}\)

And we're done!

Thus, our answer is B.

Answer:

B. \(r=\sqrt{\frac{v}{\pi h}\)

Step-by-step explanation:

We are given the formula:

\(V=\pi r^2 h\)

and asked to solve for \(r\). Therefore, we must isolate \(r\) on one side of the equation.

\(\pi\) and \(h\) are both being multiplied by r². The inverse of multiplication is division. Divide both sides of the equation by \(\pi h\).

\(\frac{v}{\pi h} =\frac{\pi r^2 h}{\pi h}\)

\(\frac{v}{\pi h} =r^2\)

r is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

\(\sqrt{\frac{v}{\pi h}} =\sqrt{r^2}\)

\(\sqrt{\frac{v}{\pi h}}=r\)

\(r=\sqrt{\frac{v}{\pi h}\)

Therefore, the correct answer is B. \(r=\sqrt{\frac{v}{\pi h}\)

Answer:

11 1/4 teaspoons

Step-by-step explanation:

So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.

5(3/4 + 1 1/2)

5(2 1/4)

10 5/4

11 1/4

Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4

We have to given that,

A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.

Here, Total amount of pepper and salt for each pot of spaghetti sauce is,

3/4 + 1 1/2

3/4 + 3/2

Make denominator same by taking LCM of 4,2 which is 4.

3/4 + 6/4

(3 + 6) / 4

9/4

Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,

5 x 9/4

45 / 4

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Answer:

a) 30 b) 21 c) 153

Step-by-step explanation:

a) 5 squares * 6 = 30 phones

b) 3.5 squares * 6 = 21 phones

c) 25.5 squares * 6 = 153 phones

The three things known about the requirements of the booth space include the following below:

This is referred to as a temporary table, tent, or area that you set up in order to sell something and there are certain requirements needed before it is set up.

Adequate ventilation and it being safe different forms of hazard is important as it ensures that suffocation doesn't occur and death in severe cases.

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Answer:

The first chart

Step-by-step explanation:

when its set up as y = [5x] is 5 times x equals y, so going through each question, -2 x 5 = -10, -1 x 5 = -5, 0 x 5 = 0, 1 x 5 = 5, and 2 x 5 = 10

The likelihood of striking a 6 on the this unbalanced die is therefore 1, or 100%.

A reasonable transaction result in money, products, or services. 2.: The monetary value of anything. 3.: value, usefulness, or significance in relation to anything else

As the die has only 6 sides, the probability of rolling a 6 is denoted by P(6). Let's use the formula of expected value to find P(6).

The expected value of the die is given by:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 21/6 = 3.5

We know that the expected value of the entire die is 4. Therefore, the expected value of the additional bonus for rolling a 6 is:

E(Y) = 4 - E(X) = 4 - 3.5 = 0.5

Since the bonus value can only be obtained by rolling a 6, the probability of getting a 6 is equal to the probability of obtaining the bonus value of 0.5. Hence, we have:

P(6) = P(Y = 0.5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Since the numbers 1-5 are equally likely to occur, we have:

P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = P(X = 5) = 1/5

Therefore,

P(6) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 5/5 = 1

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Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is \(a_{n}=a_{n-1}-4\)

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term \(a_{1} =11\)

second term \(a_{2}=7\)

Common difference = 7-11 = -4

Third term \(a_{3}=3\)

Common difference = 3-7 =- 4

Fourth term \(a_{4}=-1\)

Common difference = -1-3= -4

Then the formula for the sequence is \(a_{n}=a_{n-1}-4\)

Hence, the Recursive formula for the give sequence is \(a_{n}=a_{n-1}-4\)

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The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

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A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.

This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.

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Answer:

f(x) = | x - 2 | - 3

Step-by-step explanation:

When you have a basic equation like f(x) = | x | , you can make changes to it like a shift (which is a slide or translation--all interchangeable words)

Left and Right shifts show up in the equation in close with the x. Up and down shifts are just tacked on to the end of the equation.

Also for Left and Right shifts, it may look like the opposite of what you might guess (but its not random, there are math reasons for this) If you slide to the Left put a " + anumber " in close by the x. If you slide to the Right put a " - anumber " in close by the x.

Up and Down shifts are more intuitive, " + anumber " at the end of the equation for Up; and " - anumber " at the end of the equation for Down.

Your question has a Right Shift of 2 units, so alter the basic equation with a " - 2" in close with the x. Like this:

f(x) = | x - 2 |

Your question has a Down Shift 3 units, so tack on " - 3" at the end of the equation, like this:

f(x) = | x - 2 | - 3

There it is! Hope this helps!

Answer:

2

Step-by-step explanation:

im not sure is this is correct but I put

21÷6=3.5

7÷3.5=2

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, d, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, d, which is constant is a straight line graph which is the first graph

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

By using Pythagorean identities the expression can be written as

         -8 (sin ( x ) + 1 -sin 2x)

The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:

sin2θ + cos2θ = 1 (gives the relationship between sin and cos)

There are two other Pythagorean identities as follows :

sec2θ - tan2θ = 1 (gives the relationship between sec and tan)

csc2θ - cot2θ = 1 (gives the relationship between csc and cot)

Given expression is:

-8tanx/ 1 +tan2x

we know that:

By the Pythagorean Theorem:

1 + tan²x = sec²x

and tan x = sin x/cos x

and, sec x = 1/cos x

Now, we can write as:

   -8tanx / 1 +tan²x

= -8 tan x / sec²x

= -8 sin x /cos x ÷ 1/cos²x

= -8 sin x/cos x × cos²x/1

= -8 (sin ( x ) + 1 -sin 2x)

Complete Question:

Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:

−8tan 1 + tan2x.

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Answer: 6450 cm

Step-by-step explanation:

Answer:

the answer is the one on the bottom

Step-by-step explanation:

I know you have choices so I'm hoping this is one of them.

The way you write the problem is really important for us to help you. I'm still not quite sure about where the x is in the problem. I'm thinking it is multiplied at the end. Sooooo here goes.

- sqrt (10) ^ (3/4) x

sqrt 10 is the same as 10 ^ (1/2)

- (10)^(1/2)^(3/4) x

multiply (1/2) and (3/4)

-(10)^(3/8) x

- eighth root(10^3) x

Answer:

189 diagonals have 21 sides.

it is called hectogan take care

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer: False

Step-by-step explanation:

Discrete means secret and that data is not discrete as it can be acess by anyone.

True. The amount of rainfall in your state last month is an example of discrete data.

The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.

Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.

Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.

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The number of bacteria in a certain population increases according to the function P(h) = 100(2.5)^h, where time (h) is measured in hours.  we get h ≈ 5.6. Thus,by solving the equation t it will take approximately 5.6 hours of time  for the population of bacteria to reach 2500.

The task is to determine how many hours it will take for the number of bacteria to reach 2500, rounded to the nearest tenth. The given function that models the population growth of bacteria is P(h) = 100(2.5)^h, where h is the number of hours. It can be observed that the initial population is 100 when h = 0, and the population doubles every hour as the base of 2.5 is greater than 1. The task is to find how many hours it will take for the population to reach 2500.

So, we have to solve the equation 100(2.5)^h = 2500 for h. Dividing both sides of the equation by 100, we get (2.5)^h = 25. Now, we can take the logarithm of both sides of the equation, with base 2.5 to obtain h.

log2.5(2.5^h) = log2.5(25)

h = log2.5(25)

Using a calculator, we get h ≈ 5.6.  we get h ≈ 5.6. Thus, it will take approximately 5.6 hours for the population of bacteria to reach 2500.

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