How do you write each number in parts (a)-(c) by using the imaginary unit i ?

d. Explain why √-64 ≠ -√64 .

Answer:

y will be 8??

Step-by-step explanation:

y = 8 x= 16

Answer:

I am going to assume that "y" varies directly as "x."

y = kx

4 = k(2)

2 = k

y = kx

y = 2(16)

y = 32

Step-by-step explanation:

There ya go. :)

Correct answers are

<BDE

<EDF

Answer:

the probability, rounded to one decimal place, that a student is on the sports team given that the student plays an instrument is approximately 39.4%.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

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Answer:

Area= L×b so since there is no base you just need to multiply the height times the metre

The values of a and b are -2 and 22, respectively, for x uniformly distributed over (-2, 22).

To find the values of a and b for x uniformly distributed over (a, b) with E(x) = 10 and Var(x) = 48, follow these steps:

1. Recall the formula for the expected value of a uniformly distributed variable, E(x) = (a + b) / 2.
2. Plug in the given E(x) = 10: 10 = (a + b) / 2.
3. Solve for (a + b): a + b = 20.

4. Recall the formula for the variance of a uniformly distributed variable, Var(x) = (b - a)^2 / 12.
5. Plug in the given Var(x) = 48: 48 = (b - a)^2 / 12.
6. Solve for (b - a)^2: (b - a)^2 = 576.

7. Take the square root of both sides: b - a = 24.

Now you have a system of equations:
a + b = 20
b - a = 24

8. Solve the system of equations:
  Add the two equations: 2b = 44.
  Divide by 2: b = 22.
  Substitute b back into the first equation: a + 22 = 20.
  Solve for a: a = -2.

So, the values of a and b are -2 and 22, respectively, for x uniformly distributed over (-2, 22).

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In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

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The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.

The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.

a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.

c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.

d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.

In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.

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The answer of the given figure in the question is, the value of  EH is equal to 15 units.

Proportion is a statement that two ratio (or fractions) are equal. A proportion compares two or more quantities with the same units of measurement.

It can be written in different ways, but the most common is using the colon symbol or a fraction bar.

Since ABCD~EFGH, we know that the corresponding sides are proportional. That is:

AB/EF = AD/EH

Substituting the given values:

5/EH = 4/12

Cross-multiplying:

4EH = 60

Dividing both sides by 4:

EH = 15

Therefore, EH is equal to 15 units.

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Answer:

Watch Netflix!!!

Step-by-step explanation:

A ball dropped from a height of 10 m and bouncing vertically to 3/4 of the preceding height will travel a total distance of 40 meters if it is assumed to bounce infinitely often.

The ball is dropped from a height of 10 meters. Upon striking the ground, it bounces back to a height that is 3/4 (or 0.75) of the previous height. This means that after the first bounce, it reaches a height of 10 * 0.75 = 7.5 meters. After the second bounce, it reaches 7.5 * 0.75 = 5.625 meters, and so on.

To calculate the total distance covered by the ball, we need to sum up the distances traveled during each bounce. Each time the ball bounces, it covers a round trip from the drop point to the maximum height achieved. Therefore, the total distance traveled is twice the sum of the heights reached.

The formula to calculate the sum of an infinite geometric series is: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 10 meters, and the common ratio is 0.75. Plugging these values into the formula, we get:

S = 10 / (1 - 0.75) = 10 / 0.25 = 40 meters.

Thus, the total distance covered by the ball, assuming infinite bounces, is 40 meters.

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To factor quadratics with leading coefficients other than 1, you can follow these steps:

Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.

Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.

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Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

Answer:

sandra had 19 apples left

Step-by-step explanation:

17+7=24

that means that sandra had 27 apples because she had 3 more apples

27-8=19

Answer:

what is the question i cat help without the question

Step-by-step explanation:

Answer:

The answer for this is 850 dollars

Step-by-step explanation:

Since D stand for 50

You would do 50 X 17

Resulting in 850 dollars

The correct basis step for proving the statement P(n) using strong induction is to show that P(8) is true

Strong induction is a method of proving that a statement is true for all values of n by demonstrating that it is true for a base case and that if it is true for all values up to n, then it must also be true for n+1. It can be used to prove the statement P(n) that a postage of n cents can be formed using only 3-cent stamps and 5-cent stamps.

To demonstrate that P(8) is true is to do the proper basis step for strong induction. This is so that we may create an 8 cent postage using a 3-cent and a 5-cent stamp.

The following argument can be used to demonstrate that the basic step is P(8) being true:

A postage of 8 cents can be made with one 3-cent stamp and one 5-cent stamp.

Thus, P(8) must be true.

We don't need to check any other values for the base step because P(n) only depends on the values of P(k), where k n.

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The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.

To better understand this question, let's simplify some of the information given:

4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls

40% of the boys liked the chicken nuggets = 0.40

Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.

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After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

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Answer:

2

Step-by-step explanation:

The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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The distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

Given: height of helicopter = 300√3 feet from the ground.

To find: Distance between zoo and library.

Finding:

(Refer to the image attached.)

Let the distance from the plane to the zoo and library be d1 and d2 respectively.

Then, with the help of concepts of applications of trigonometry,

\(tan(60) = \frac{300\sqrt{3}}{d1}\)

=> \(\sqrt{3}=\frac{300\sqrt{3}}{d1}\)

=> d1 = 300 feet

\(tan(30) = \frac{300\sqrt{3}}{d2}\)

=> \(\frac{1}{\sqrt{3}}=\frac{300\sqrt{3}}{d2}\)

=> d2 = 300 (3) = 900 feet

The distance between zoo and library = d2 - d1 = 900 - 300 = 600 feet.

Hence, the distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

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A deck has a total of 52 cards.

The probability of getting a black 4 is then:

True. Since the square matrix that represents the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same. This property is a fundamental characteristic of orthogonal matrices and holds true for all orthogonal matrices.

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False While it is true that the square matrix that represents the DCT coefficient is orthogonal, it does not mean that its inverse and transpose are the same.

the inverse of an orthogonal matrix is its transpose. However, the transpose of the matrix does not necessarily mean that it is the same as the inverse of the matrix. In the statement is false because the inverse and transpose of an orthogonal matrix are not always the same.


The Discrete Cosine Transform (DCT) coefficient matrix is an orthogonal matrix. In the case of orthogonal matrices, the inverse matrix is indeed equal to the transpose of the original matrix. This is because the product of an orthogonal matrix and its transpose results in the identity matrix.

Since the square matrix representing the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same.

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Answer:

domain=5,12,3

range=0,4,-3

The probability that you will get through the door without returning for more keys is 0.03.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Probability door is locked = 0.7

The probability that you will get through the door without returning for more keys will be:

= (1 - P(locked)) × P(key)

= (1 - 0.7) × 0.1

= 0.3 × 0.1

= 0.03

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(x,y,z) = (2,5,3).

c.2 is the distance of the point from x axis

e.5 is the distance of the point from y axis

b.3 is the distance of the point from z axis

It is a 3 dimensional coordiante system in this 3 dimensional plane every point has 3 values related to x,y and z axis each axis is mutually perpendicular to each other meaning each axis is separated by 120°.

In the given question (x,y,z) = (2,5,3).

c.2 Represents the distance of the point from the origin to the x direction.

e. 5 Represents the distance of the point from the origin to the y direction.

b. 3 Represents the distance of the point from the origin to the z direction.

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Answer:

Explain more

Step-by-step explanation:

Go to Wyzant for expert

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!