6x + 8
10x
60°
A) 64°
C) 70°
B) 45°
D) 50°

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.

To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
  - Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
  - To obtain y′, connect an input line from y to a NOT gate.
  - Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
  - Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.

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Answer:

Step-by-step explanation:

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

Answer:

ladder length = 10 feet

Step-by-step explanation:

using the Pythagorean theorem:

8² + 6² = length²

64 + 36 = length²

length² = 100

length = 10 feet

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Answer:

9 x (x +5) = 185

Step-by-step explanation:

I'm pretty sure this is how you write it

Answer:

9x4+5= 185

Step-by-step explanation:

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The local gym is offering this new promotion:

An enrollment fee of $40 and a monthly fee of $30.

Let m be the total number of months

Total monthly fee = 30m

Total cost(including the enrollment fee of $40) = 40 + 30m

Let the total cost is c:

c = 40 + 30m

If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.

Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

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Answer: i can help you but i need to know what plot a is does it show on the graph

Step-by-step explanation:

You have the following algebraic expression:

In order to solve the previous expression, you proceed s follow:

m - 8 = 3 First, you sum 8 both sides of the equation

m - 8 + 8 = 3 + 8 simplify (-8 + 8 cancel out, 3 + 8 is equal to 11)

m = 11

Hence, the solution to the equation is m = 11

The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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The function with an amplitude of 3 and a phase shift of π/2 is h(x) = 3 cos (2x - π/2) + 3.

The amplitude of a function is the distance between the maximum and minimum values of the function, divided by 2. The phase shift of a function is the horizontal shift of the function from the standard position,

(y = cos(x) or y = sin(x)).
To find the function with an amplitude of 3 and a phase shift of π/2, we need to look for a function that has a coefficient of 3 on the cosine term and a horizontal shift of π/2.
Looking at the given options, we can eliminate option a) because it has a coefficient of -3 on the cosine term, which means that its amplitude is 3 but it is inverted.

Option b) has a coefficient of 3 on the cosine term but it has a phase shift of -π/2, which means it is shifted to the left instead of to the right. Option d) has a phase shift of π/2, but it has a coefficient of -2 on the cosine term, which means its amplitude is 2 and not 3.
A*cos(B( x - C)) + D

Where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

f(x) = -3 cos(2x - π) + 4

Amplitude: |-3| = 3

Phase shift: π (not π/2) b) g(x) = 3cos(2x + π) -1

Amplitude: |3| = 3

Phase shift: -π (not π/2) c) h(x) = 3 cos (2x - π/2) + 3

Amplitude: |3| = 3

Phase shift: π/2 d) j(x) = -2cos(2x + π/2) + 3200

Amplitude: |-2| = 2 (not 3)

Phase shift: -π/2
Therefore, the only option left is c) h(x) = 3 cos (2x - π/2) + 3. This function has a coefficient of 3 on the cosine term and a horizontal shift of π/2, which means it has an amplitude of 3 and a phase shift of π/2.
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   Options (1) and (3) will be the correct options.

FOIL method of multiplication:

   FOIL method of multiplication is applicable on the expressions

            represented by → (a - b)(c - d)

            Here, a and c are the FIRST terms

                      a and d are the OUTER terms

                      b and c are the INNER terms

                      b and d are the LAST terms

    Multiplication by FOIL method will be the sum of FIRST, OUTER,

             INNER and LAST terms of the expression.

 Therefore, expressions given in Option (1) and Option (3) will be the correct options.

Answer:

-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

1/-25

Step-by-step explanation:

First we plug it in

-(-5)^-2

Then since the exponent is negative, we take the equation and put it under one which makes it a positive.

1/-(-5)^2

Then we solve the exponent

1/-(25)

Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get

1/-25

The form factor of a standard Parallel connector is DB-25.

A Parallel connector is a type of interface commonly used for connecting devices such as printers, scanners, and external storage devices to a computer. It allows for the simultaneous transmission of multiple bits of data through separate data lines. The form factor refers to the physical shape and configuration of the connector.

Option A, DB-9, is incorrect because DB-9 connectors are commonly used for serial communication, not parallel communication. They have 9 pins arranged in two rows and are typically used for applications such as RS-232 serial ports.

Option B, DB-15, is also incorrect as DB-15 connectors are commonly used for video graphics (VGA) connections, not parallel communication. They have 15 pins arranged in three rows and are commonly found on older computer monitors.

Option D, DIN-6, is also not the correct form factor for a standard Parallel connector. DIN-6 connectors are typically used for MIDI (Musical Instrument Digital Interface) connections or other audio applications. They have 6 pins arranged in a circular configuration.

The correct option is C, DB-25. The DB-25 connector, also known as a "D-sub 25" or "D-subminiature 25," is a type of connector commonly used for parallel communication interfaces. It has 25 pins arranged in two rows, with the pins surrounded by a D-shaped metal shield. The DB-25 connector is typically used for printer ports, parallel ports, and other parallel communication applications.

Therefore, the form factor of a standard Parallel connector is DB-25.

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The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

We are given the function: f(x) = 4x + 5

To find f(-2), we substitute the value of x with -2 to get:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

OPTION C

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

x=20. You can use the app Photomath to help you with math equations.

Step-by-step explanation:

The average rate of change of an exponential function can be calculated by finding the difference in function values at the endpoints of the given interval and dividing it by the difference in the corresponding x-values.

In this case, since the table represents values of an exponential function, we'll use the formula for average rate of change to determine the value. Let's assume the table contains the following values: |  x  |  y  |
| --- | --- |
|  2  |  8  |
|  4  |  32 |

To calculate the average rate of change for the interval from x=2 to x=4, we first find the difference in y-values: 32 - 8 = 24. Next, we calculate the difference in x-values: 4 - 2 = 2. Finally, we divide the difference in y-values by the difference in x-values: 24 / 2 = 12. Therefore, the average rate of change for the given exponential function over the interval from x=2 to x=4 is 12. This means that, on average, the function is increasing by 12 units for every unit increase in x within the specified interval.

The average rate of change is a measure of how the output of a function changes on average over a given interval. For an exponential function, it can be determined by calculating the difference in function values at the endpoints of the interval and dividing it by the difference in the corresponding x-values . In this case, the average rate of change for the function represented by the given table is found to be 12, indicating an average increase of 12 units in the function's output for every unit increase in the input from x=2 to x=4.

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Given:

Center of circle, (h, k) = (-10, -4)

Point the circle passes through ==> (4, -2)

Let's write the equation of the circle in standard form.

Apply the standard form of a circle equation:

Where:

(h, k) is the radius.

r is the radius of the circle.

To find the radius, let's find the distance between the points using the distance between points:

Where:

(x1, y1) ==> (-10, -4)

(x2, y2) ==> (4, -2)

Thus, we have:

Hence, we have:

• Center, (h, k) = (-10, -4)

• Radius of the circle = √200

Therefore, the equation of the circle is:

ANSWER:

So the Maclaurin series for f(x) is:
f(x) = ??e-22 + 1 - 22x^2/3 + 484x^4/3 - 21296x^6/45 + 5271328x^8/2835 -....

The Maclaurin series generated by f(x) is:
f(x) = ∑[n=0,∞] (2n+2)/(n+2)! * (-22x^2)^n
To see how this series was generated, let's break down the terms in f(x):
- The first term is ??e-22, but we don't really care what that is because it doesn't depend on x. It's just a constant coefficient that will show up in all the terms of the series.
- The second term is 2!/2! * (-22x^2)^0, which simplifies to 1. This is the constant term of the series.
- The third term is 23/3! * (-22x^2)^1, which simplifies to -22x^2/3. This is the linear term of the series.
- The fourth term is 4!/3! * (-22x^2)^2, which simplifies to 484x^4/3. This is the quadratic term of the series.
- And so on, with each term having a coefficient that depends on the power of x and the factorial in the denominator.
We can simplify these coefficients using the formula for the (n+2)th term in the series expansion of e^x:
(1/(n+2)!) * x^(n+2)
If we substitute -22x^2 for x in this formula, we get:
(1/(n+2)!) * (-22x^2)^(n+2)
This simplifies to:
(2n+2)/(n+2)! * (-22x^2)^n
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the maximum area of such a rectangle will be 144 unit²

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The area of rectangle is A = a*b

A = 2x*(48-x²) = 96x - 2x³

We are asked to maximize the Area as changes so hopefully, we can identify a critical point of

It an associated with a maximum, So we need to find \(\frac{dA}{dx}\) = 0

96 - 6x² = 0

x² =96/6 = 16

x = ±6

So the width = 12

Height = 48 - 36 = 12

So the area = 144 unit²

Hence the maximum area of such a rectangle will be 144 unit²

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