if a circuit has three inputs and four outputs, how many rows would a truth table need to fully describe its behavior?

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

To find the GCF of 20 and 16 using the distributive property, we need to break down the numbers into their prime factors.

20 = 2 x 2 x 5
16 = 2 x 2 x 2 x 2

The greatest common factor is 2 x 2 = 4.

To rewrite the sum of 20 + 16 using the GCF, we can factor out 4 from both numbers:

20 + 16 = 4 x 5 + 4 x 4

Using the distributive property, we can simplify this expression:

20 + 16 = 4(5 + 4)

Therefore, the GCF of 20 and 16 is 4, and the sum can be rewritten as 4(5 + 4).

The distributive property allows us to factor out a common factor from an expression. In this case, we found the GCF of the two numbers using prime factorization and then used the distributive property to simplify the sum. By factoring out the GCF, we were able to rewrite the sum in a more simplified form.

The GCF of 20 and 16 is 4, and the sum can be rewritten as 4(5 + 4) using the distributive property. Factoring out the GCF can help simplify expressions and make them easier to work with.

To know more GCF visit:

https://brainly.com/question/11444998

#SPJ11

Answer:

$10750

Step-by-step explanation:

Given data

Total amount Skye needs= $17,150

We are told that each year She will receive $4300 in scholarships

and She will earn $2100 each year

Each year She will get= 4300+2100= $6400

Hence the deficit is = 17150-6400= $10750

Therefore the estimate cost she will have to pay per year is $10750

Answer: Commutative property

Answer:

(-3 , 4)

Step by step explanation:

1) 6x + 5y = 2

2) 5x + 4y = 1

we solve the first equation.

5y = 2 - 6x

y = (2 - 6x)/5

Then we replace Y in the second equation.

5x + 4*((2-6x)/ 5) = 1

5x + 8/5 - 24x/ 5 = 1

(8-24x)/5 + (5x*5)/5 = 1 * 5

(8-24x + 5x * 5)/ 5 = 5

8 - 24x + 25x = 5

8 + x = 5

X = -3

Then we replace x in the first equation.

(6*-3) + 5y = 2

-18 + 5y = 2

5y = 2 + 18

Y = 20/ 5

Y = 4

Answer:

See explanation

Step-by-step explanation:

The given options are not properly formatted; so, I will give a general explanation instead

An equation is said to be radical if its variable is in a radicand sign.

For instance, the following equation is a radical;

\(\sqrt x + 2 = 4\)

In the above equation, x is the variable, and it is in \(\sqrt\) sign

However, the following equation is not a radical equation

\(x + \sqrt 4 = 2\)

Because the variable is not in a radicand

the answer is: 1° equation

2° equation

3° equation

and the 4° equation

Answer:

D) 2x² + x - 10

Step-by-step explanation:

First, distribute the negative sign to all terms within the second parenthesis:

- (4x - x² + 6) = -4x + x² - 6

Next, combine like terms:

5x + x² - 4 - 4x + x² - 6

(x² + x²) + (5x - 4x) + (-4 - 6)

2x² + x - 10

2x² + x - 10 , or D) is your answer.

Answer:

2x^2+x-10 (the pink/red one)

Step-by-step explanation:

(5x+x^2-4)-(4x-x^2+6)

5x+x^2-4-4x+x^2-6

2x^2+x-10

Answer:

Hello the answer to this question is 9 hours and 55 min

Step-by-step explanation:

Answer:

9 hours and 55 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-8

Answer:

y - 8

Step-by-step explanation:

The most appropriate choice for exponent will be given by-

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a\times a \times a\times....\times a\) (m times), a is the base and m is the index.

The laws of index are

\(a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}\)

Here,

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

To learn more about exponent, refer to the link:

https://brainly.com/question/11975096

#SPJ9

Answer:

x=16

Step-by-step explanation:

do exponent

(x - 7) =9

rid of parenthesis

x - 7 =9

add 7 both sides

x = 16

tada

Answer:

Hi there!

Your answer is:

It will take 171 minutes and approximately 43 seconds to use 400 and 2/3rds gallons of water! If you need it in decimal format, your answer is 171.71!

Step-by-step explanation:

2 & 1/3 gals per 1 minute

Divide by 2 & 1/3 to determine mins per 1 gal

1gal per 3/7ths of a minute

× 400 & 2/3

400 & 2/3 gals per 171 & 5/7ths minutes

I hope this makes sense!

The simple interest was $10.5 and the amount after 1 year would be $360.5 in her account.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as

Principal amount (P) = $350

Time (T) = 1 year

The rate of interest (R) = 3%

Simple interest= P × R × T

Simple interest = 350 × 3/100 × 1

Simple interest = $10.5

So the amount after 1 year would be P + S.I. = 350 + 10.5 = $360.5

Therefore, the simple interest would be $10.5 and the amount after 1 year would be $360.5.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ1

Answer:

\(x=9\)

Step-by-step explanation:

First, let's determine the slope! We know that the line is perpendicular to \(y=4\). This line is just a horizontal line that crosses the y-axis with a slope of 0. The line perpendicular to this will have the form \(x=?\). This is a straight, vertical line with indeterminate slope.

The line passes through the point (9, 12). If the line is going straight up and down, it will intercept every y-value, but only one x-value. The x-value in this ordered pair is 9. Therefore, the equation of the line is \(x=9\).

The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

From the graph, we have

A = -3

ω = 2

Ф = 2π

C = 2

Then we have the equation will be

y = -3 sin [2(x + π)] + 2

Then the correct option is A.

More about the sine function link is given below.

https://brainly.com/question/3876065

#SPJ1

The height of the screen will be;

⇒ h = 28 inches

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.

Here,

The diagonal of the screen television = 53 inches

And, The width of the screen television = 45 inches

Let the height of the television = h

So, By the Pythagoras theorem, we get;

⇒ AC² = AD² + DC²

Where, AC = Diagonal of television.

AD = Height of the television

DC = Width of the television.

Substitute all the values, we get;

⇒ 53² = h² + 45²

⇒ 2809 = h² + 2025

⇒ 2809 -2025 = h²

⇒ h² = 784

⇒ h = √784

⇒ h = 28 inches

Thus, The height of the screen = 28 inches

Learn kore about the rectangle visit;

https://brainly.com/question/2607596

#SPJ1

Since there are a adults and c children

Since there are 187 tickets sold

Then the number of adults and children is 187

Add a and c, then equate the sum by 187

Since the price of each adult's ticket is $25

Since the price of each child ticket is $13

Since the total revenue is $3223

Then multiply a by 25, c by 13, then add the products and equate the sum by $3223

Now, we have a system of equations to solve it

Multiply equation (1) by -13 to make c equal in values and opposite in signs to eliminate it

Add equations (2) and (3)

Divide both sides by 12

Substitute a by 66 in equation (1) to find c

Subtract 66 from both sides

The answers are:

a) The system of equations is

b) There were 66 adult tickets sold

c) There were 121 children's tickets sold

Answer:

12^12

Step-by-step explanation:

The value of the function for x = - 4 is f(- 4) =36.

The function is given by:

f(x) = x² - 5x

We need to find the value of f(-4).

Substitute x = -4 in the function:

f(- 4) = (- 4)² - 5( - 4)

Simplify the expression:

f(- 4) = 16 + 20

Evaluate the expression:

f(- 4) =36

Therefore, we get that, the value of the function for x = - 4 is f(- 4) =36.

Learn more about function here:

https://brainly.com/question/25638609

#SPJ9

ok umm i fell asleep bye

Answer:1,829

Step-by-step explanation:

I will do the first example, by explaining how to graph it. Then you can do the second example.

\(f(x) = x^3-10x^2+28x-24\)

We start by determining the the x-intercepts, by letting y = 0:

\(x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6\)

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

\(f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24\)

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

\(\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28\)

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

\(3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}\)

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

\(f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}\)

Minimum: (14/3, -256/27)

Graph is in the attachment below -

Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

Where

Let k represent the original price

Substitute the values into the formula above

Hence, the original price, k, of the pair of Zeus running shoes is $240

Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85

       To calculate the mean score, add up all of the scores and divide by the total number of tests.

       To figure out what score Joshua needs to get on the fifth test, use the formula:

            Total score = mean score × total number of tests

            Total score = 85 × 5

            Total score = 425

  Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).

  Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.

To learn more about mean score visit: https://brainly.com/question/17203075

#SPJ11

The curve has horizontal tangents at the points (0,0) for all values of t. To find the points at which the curve has a horizontal tangent, we need to find the values of t that make the derivative of y(t) equal to zero.

First, we need to find the derivative of y(t):

y'(t) = 8cos(t)

Next, we set y'(t) equal to zero and solve for t:

8cos(t) = 0

cos(t) = 0

This occurs when t = π/2 or 3π/2.

Now, we can plug these values of t back into the original equations to find the corresponding points:

When t = π/2,

x(π/2) = 4cos(π/2) = 0

y(π/2) = 4sin(2(π/2)) = 0

So the point is (0,0).

When t = 3π/2,

x(3π/2) = 4cos(3π/2) = 0

y(3π/2) = 4sin(2(3π/2)) = 0

So the point is also (0,0).

Learn more about tangents here:

brainly.com/question/10053881

#SPJ11

Answer:

a

Step-by-step explanation:

I just did the test

Answer:

The effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3) is that it translates horizontally 3 units right.

When a function is replaced with f(x - c), where c is a positive constant, the graph of the function shifts horizontally c units to the right. Similarly, if c is negative, the graph shifts horizontally c units to the left.

Therefore, replacing f(x) with f(x - 3) in the function f(x) = 2^x shifts the graph of the function horizontally by 3 units to the right.

Please mark this answer as Brainliest!!

The probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

To determine the probability that the other child is also a girl given that one of them is a girl, we need to consider the possibilities of the gender combinations for Alice's two children.

Let's denote the gender of the first child as G (girl) and B (boy), and the gender of the second child as G' and B'.

There are four possible combinations for the gender of the two children: GG, GB, BG, and BB.

However, we are given that one of the children is a girl. This eliminates the BB combination since we know both children cannot be boys.

Thus, we are left with three possible combinations: GG, GB, and BG.

Out of these three combinations, two of them involve at least one girl: GG and GB. This means there is a 2 out of 3 chance that the other child is a girl.

Therefore, the probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

The equation of line L₂, which is parallel to line L₁: y = 3 - 2x and passes through the point (5, 2), is y = -2x + 12.

Since line L₂ is parallel to line L₁, they have the same slope. The slope of line L₁ is -2. Therefore, the slope of line L₂ will also be -2.

We can use the point-slope form of a linear equation to find the equation of line L₂. The point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

We are given that line L₂ passes through the point (5, 2) and has a slope of -2. Substituting these values into the point-slope form, we have y - 2 = -2(x - 5).

Simplifying the equation, we get y - 2 = -2x + 10.

To express the equation in the form y = mx + c, where m is the slope and c is the y-intercept, we rearrange the equation as y = -2x + 12.

Therefore, the equation of line L₂ is y = -2x + 12.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

The length of the ribbon to the nearest tenth is 50.3 inches.

To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.

The formula for the circumference of a circle is given by the following:

C = 2πr

Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.

Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.

Hence, we have: r = 8 inches

C = 2πr

C = 2π(8)C = 16π

The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)

Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.

Circumference of a Circle: https://brainly.com/question/20489969

#SPJ11