Could anyone answer this question quickly..
6. Find the Z-transform and then compute the initial and final values \[ f(t)=1-0.7 e^{-t / 5}-0.3 e^{-t / 8} \]

Answer:

C

Step-by-step explanation:

a point (x, y) reflected over y-axis becomes ( -x, y)

(2, -4) becomes (-2, -4)

Answer:

13.3=c

Step-by-step explanation:

The hypotenuse can be found with the equation \(a^2+b^2=c^2\).  For this problem, let

a=8.3

b=10.4

So,

\((8.3)^2+(10.4)^2=c^2\\177.05=c^2\\\sqrt{177.05}=\sqrt{c^2}\\13.31=c\)

It will take 12.51 years for a Jenny's balance of 3000 to grow to 3800

Balance in Jenny's account = $3000

Rate of interest = 2.13%

Required amount = 3800

Simple interest is a quick and simple technique to compute interest on money. Interest is always applied to the initial principal amount and is calculated at the same rate for each time cycle.

The formula for simple interest is given:

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time period in years

Substituting the values in the formula we get:

Amount = P*R*T/100 + P

3800 = 3000*2.13*T/100 + 3000

800 = 63.9T

T = 12.51

So, it will take 12.51 years

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Answer:

Explanation:

Given the expression:

To simplify this, first rewrite the expression as

This is the same as

Evaluating this, we have

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

The probability that it would have to land on tails is 1

The coin is known to have two sides.

The two sides of a coin are the head and the tail

the probability of head is given as 50 percent

The probability of tail is also given as 50 percent

Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as

2 * 50 percent

= 2 * 0.5

= 1

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

x = 5/8

Step-by-step explanation:

Isolate the variable by subtracting 1/8 from both sides:

3/4 - 1/8 = 5/8

Now, the equation is:

x = 5/8

Therefore, the answer is 5/8

Answer:

1/√e = .60653

1 - 1/2 + 1/8 - 1/48 + 1/384 = .60677

So N = 4.

Answer:

1. Multiply 2/7 by 3/5

Solution:

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

2. Multiply 5/9 by (-3/4)

Solution:

5/9 × (-3/4)

= 5 × -3/9 × 4

= -15/36

= -5/12

Step-by-step explanation:

Answer:

It could be 3x - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

25% it means 1/4 of the total

1/4 of 80 is 20 (80/4=20)

answer B

Answer:

the answer is 4/12

Step-by-step explanation:

Answer:

\(7x^{8}\)

Answer:

2/3

Step-by-step explanation:

that the ratio of that number

The evaluated complex number in rectangular form is (6cos(300) - 3) + (6sin(300) + j5).

To evaluate the complex number 6 e/300 + j5 - 3 + 450 in rectangular form, we need to convert it from polar form to rectangular form.

The polar form of a complex number is given by r e^(jθ), where r is the magnitude and θ is the angle in radians. In this case, we have:

r = 6
θ = 300 degrees = (5π/6) radians

Using Euler's formula e^(jθ) = cos(θ) + j sin(θ), we can write:

6 e^(j300) = 6 (cos(5π/6) + j sin(5π/6))

= 6 (-1/2 + j √3/2)

= -3 + j3√3

Now we can add this to the real number -3 + 450, to get:

-3 + j3√3 + (-3 + 450)

= 444 + j3√3

Therefore, the rectangular form of the complex number 6 e/300 + j5 - 3 + 450 is 444 + j3√3.

To evaluate the complex number in rectangular form, given the expression 6e^(300) + j5 - 3 + 450, follow these steps:

1. Convert the exponential form (6e^(300)) to rectangular form.
2. Combine the real parts and imaginary parts.

Step 1: Converting exponential form to rectangular form:
6e^(300) = 6(cos(300) + jsin(300))

Step 2: Combining real and imaginary parts:
Real part: 6cos(300) - 3
Imaginary part: 6sin(300) + j5

So, the evaluated complex number in rectangular form is (6cos(300) - 3) + (6sin(300) + j5).

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Answer:

x=−3 is your answer :)

Step-by-step explanation:

Steps for Solving Linear Equation

7x+4=−3x−26

Add 3x to both sides.

7x+4+3x=−26

Combine 7x and 3x to get 10x.

10x+4=−26

Subtract 4 from both sides.

10x=−26−4

Subtract 4 from −26 to get −30.

10x=−30

Divide both sides by 10.

x=

10

−30

Divide −30 by 10 to get −3.

x=−3

The deck of cards contains a total of 29 cards, of which 15 are green. Therefore, the probability of picking a green card at random can be calculated by dividing the number of green cards by the total number of cards, giving:

P(green) = 15/29

This probability can also be expressed as a decimal or a percentage. As a decimal, it would be 0.5172, and as a percentage, it would be 51.72%. This means that there is a slightly higher than 50% chance of picking a green card at random from this deck.

It is important to note that this probability assumes that the deck is well-shuffled and that all cards have an equal chance of being picked. If the deck is not well-shuffled or if some cards are missing or duplicated, the probability of picking a green card would be affected.

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Answer:

The natural numbers along with number 0 (zero) form the set of whole numbers i.e., 0, 1, 2, 3,, are whole numbers. The set of whole numbers is denoted by . = {0, 1, 2, 3, …} Set of natural numbers is the proper subset of the set of whole numbers.

Step-by-step explanation:

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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Answer:

\(y=3x+3\)

Step-by-step explanation:

Use the slope-intercept form:

\(y=mx+b\)

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( \(\frac{rise}{run}\) ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

\(y=mx+3\)

Now find the slope. Use the slope formula:

\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}\)

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

\((0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3\)

The slope is 3. Insert this value:

\(y=3x+3\)

:Done

The probability of one event given the known outcome of a (possibly) related event is known as unconditional probability.

Given an incomplete sentence related to probability.

We are required to fill the sentence by the appropriate terms given as options.

Probability is basically the chance of happening an event among all the events possible.  It cannot be negative.

Marginal probability is basically the probability of an event irrespective of the outcome of another variable.

Conditional probability is basically probability of one event occuring in the presence of a second event.

Unconditional probability is basically the chance that a single outcome results among several possible outcomes.

Joint probability is a basically a statistical measure that calculates the likelihood of two events occurring together and at the same point in time.

From the above definitions and the sentence given we can say that the appropriate term is unconditional.

Hence the appropriate term which can be filled in the sentence is unconditional.

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The antiderivative of a function f will be the integral of differentiated  value of the function i.e. the function itself.

What is Antiderivative of a function?

A function is said to be antiderivative if its derivative equals the original function. The antiderivative function is the same as an indefinite integral. The limit of a sum of terms f (x) x in the limit that approaches zero, where is the integrand function, is known as a definite integral.

Considering a function f(x) = Sin x

                                  dy/dx = Cos x

 Now, the integral of Cos x would be known as Anti derivative.

here, ∫ Cos x = Sin x

thus, Anti derivative of Cos x is equal to the function itself.

hence, proved.

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Answer:

20: 2 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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By using the variable Mr. Leppold can do 18 pull-ups, Mr. Will can do 15 pull-ups, and Mrs. Crump can do 23 pull-ups. Mr. Leppold can do 3 more pull-ups than Mr. Will and Mrs. Crump can do 5 more than Mr. Leppold.

To solve this problem, we need to set up equations using the given information. Mr. Leppold claims he can do 3 more pull-ups than Mr. Will, so we can express that as l = w + 3. Mrs. Crump says she can do 5 more than Mr. Leppold, so we can write c = l + 5. We can then substitute l = w + 3 into c = l + 5 to get c = w + 8. This gives us the equations l = w + 3, c = l + 5, and c = w + 8. We can then substitute in a number for l (18) to solve for the other two variables. When l = 18, we get w = 15 and c = 23. Therefore, Mr. Leppold can do 18 pull-ups, Mr. Will can do 15 pull-ups, and Mrs. Crump can do 23 pull-ups.

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Answer:

2520 m^2

Step-by-step explanation:

The area formula for trapezoid is (top + base)*height / 2, so (35 + 175)*24 / 2 = 2520 m^2