Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.
George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.
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PLEASE HELP!!!!!!!!!
1. y=-x^2+2 what is the
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
2. y=x^2-6x+3 What is the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
3: y=-2x^2-8x-5 What is the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
4. f(x)=-x^2+1 What’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
5. f(x)=-2x^2+8x-3 What’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
6. f(x)=2x^2+8x+1 what’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
help me please help help
The equation that can be used to find the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
How to construct the equation?Kalisa's earnings are divided as follows:
Mows 8 lawns for $25 each -> total of 25 x 8 = $200.Welds w gardens for $5.5 each -> total of 5.5w.Hence the equation for the total earnings is constructed follows:
T(w) = 200 + 5.5w.
Her total earnings are of $260.50, hence the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
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Pls help me fast fast fast
The value of ∠E = 31 degrees and the value of ∠G = 149 degrees for the given triangle.
What are similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "."
The two triangles are similar thus the measure of its angle are also equal.
Using the similar triangle we have:
Angle D = Angle A = 82 degrees.
Angle F = 67 degrees
Using the sum of interior angles of triangle we have:
∠D + ∠F + ∠E = 180
82 + 67 + ∠E = 180
∠E = 31
From the figure we observe that,
∠E + ∠G = 180 (straight line)
31 + ∠G = 180
∠G = 149
Hence, the value of ∠E = 31 degrees and the value of ∠G = 149 degrees for the given triangle.
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Leanne's Nursery buys crates of firewood to deliver to customers over the winter. Each crate
measures 4 feet long, 3.5 feet wide, and 4 feet high. How much storage space does the nursery
need for the wood if 60 crates are delivered in an order?
OA 675 cubic feet
OB 3,375 cubic feet
OC 3,937.5 cubic feet
OD 3,360 cubic feet
The volume of storage space that the nursery needs for the wood if 60 crates are delivered in an order is; D: 3360 cubic feet
How to find the total volume of a cuboid?The formula for volume of a cuboid is;
Volume = Length * width * height
We are given;
Length = 4 feet
Width = 3.5 ft
Height = 4 ft
Thus;
Volume of one crate = 4 * 3.5 * 4
= 56 cubic ft
We need a total of 60 crates. Thus;
Total Volume = 60 * 56
Total volume = 3,360 cubic feet
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On 1 June Sipho opened a savings account at the Postbank that paid 4.5% interest. He deposited R600. Ten days later on 10 June he deposited R1 000.F days later on 15 June he deposited R500. No other deposits or withdrawals w made. Fifteen days later, at the end of the month, the bank calculated the nterest. a. How much simple interest (calculated to the nearest cent) did he earn? . What was the balance of the account at the end of the first 30 days?
Sipho earned R33.15 in simple interest.
The balance of the account at the end of the first 30 days was R2 133.15.
How to calculate thisa. To calculate the simple interest earned by Sipho, we need to calculate the total amount deposited and the interest earned on that amount.
Total amount deposited = R600 + R1 000 + R500 = R2 100
Interest earned = R2 100 x 4.5% x 30/365 = R33.15 (rounded to the nearest cent)
Therefore, Sipho earned R33.15 in simple interest.
b. The balance of the account at the end of the first 30 days can be calculated by adding the total amount deposited and the interest earned to the initial deposit:
Balance = R600 + R1 000 + R500 + R33.15 = R2 133.15
Therefore, the balance of the account at the end of the first 30 days was R2 133.15.
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The two triangles are congruent. Solve for x. Then find all missing angles.
(I found x but I don’t know how to figure out y)
Using the definition of congruent triangles, the missing values are:
x = 35
y = 30°
What are Congruent Triangles?Given that the two triangles in the image above are congruent, it implies that all its corresponding angles and corresponding side lengths have equal measure.
Therefore, we have:
2x - 10 = x + 25
Solve for x:
2x - x = 10 + 25
x = 35
Plug in the value of x to find the missing angles:
y + 90 + (2x - 10) = 180 [triangle sum theorem]
y + 90 + (2(35) - 10) = 180
y + 90 + 60 = 180
y = 30°
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The expression 2.2x + 8 represents the number of miles Trent jogged during a race and 5x represents the number of miles that Ling jogged during the same race in x hours. Write and expression to show how many more miles did Ling Jog than Trent?
The number of miles Ling Jog than Trent can be written as the expression 2.8x - 8
How many more miles did Ling Jog than Trent?Trent's expression:
2.2x + 8
Ling's expression:
5x
Where,
Number of hours= x
Number of hours Ling Jog than Trent =Ling's expression - Trent's expression
= 5x - (2.2x + 8)
= 5x - 2.2x - 8
= 2.8x - 8
Therefore, Ling jog 2.8x - 8 miles than Trent.
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how many such strings are if 2 of the ones are to be next to each other and the third is not next to the other two?
The number of strings where exactly two of the ones are next to each other, while the third one is not next to the other two, is (n-1) x (n-2).
In combinatorics, one of the fundamental concepts is counting the number of strings or sequences of symbols that satisfy certain conditions.
Let us first consider the case where the two ones that are next to each other are at the beginning of the string. In this case, we can place the third one in any of the remaining positions, which are n-2, where n is the total length of the string. Therefore, the number of such strings is (n-2).
Similarly, if the two ones are at the end of the string, we can place the third one in any of the n-2 remaining positions, and the number of such strings is again (n-2).
Now let us consider the case where the two ones are in the middle of the string. In this case, we can place the two adjacent ones in (n-2) ways, and the third one can be placed in any of the remaining n-3 positions, since it cannot be adjacent to the other two ones. Therefore, the number of such strings is (n-2) x (n-3).
To get the total number of strings that satisfy the given condition, we need to add up the number of strings in each of the three cases:
Total number of strings = (n-2) + (n-2) + (n-2) x (n-3)
Simplifying this expression, we get:
Total number of strings = (n-1) x (n-2)
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I have 2 questions. 1.If the Percent of Discount is 80% and the Sale Price is $90 then what is the Original Price? 2. If the Percent of Discount is 15% and the Sale Price is $146.54 then what is the Original Price? HELP ME PLEASE!!???
The requried solutions are as follows,
(1) the original price is $450. (2) the original price is $172.40.
Sale price is defined as the price of a product marked including of various price cut such as discounts.
Here,
If the percent of discount is 80% and the sale price is $90, we can use the following formula to find the original price x (let)
Sale price = Original price - Discount
$90 = x - 0.8x
Simplifying the right-hand side:
$90 = 0.2x
x = $450
Therefore, the original price is $450.
If the percent of discount is 15% and the sale price is $146.54, we can use the same formula:
Sale price = Original price - Discount
$146.54 = x - 0.15x
Simplifying the right-hand side:
$146.54 = 0.85x
x = $172.40
Therefore, the original price is $172.40.
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Which equations are true for the values of x, y, and z? Select three options.
2 lines intersect to form 4 angles. Clockwise, from top, the angles are: 65 degrees, x, y, z.
The equations that are true of the values x, y, and z are :
x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degreesHow to find the equations ?The line that x degrees and 65 degrees is on, is a straight line which means that they will both add up to 180 degrees :
x degrees + 65 degrees = 180 degrees
x and z are congruent angles which means they are both the same angle measure.
y would be equal to 65 degrees because, just like x and z, y and 65 degrees are congruent.
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Options include:
x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degreesx degrees= 65 degreesx degrees + y degrees + z degrees = 115 degrees
Two more than 3 times a number is 20. Find the number.
Answer: the number is 6
Step-by-step explanation: First, set up an equation. Two more means +2, 3 times a number means 3x. So your equation would be 3x+2=20. Then solve the equation for x.
Answer:
x = 6
Step-by-step explanation:
Let the number be 'x'
Then, the equation becomes,
2 + 3x = 20
3x = 20 - 2
3x = 18
x = 18/3
x = 6
Hope it helped :)
A pole 6 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Ian measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
Answer:
here you go
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Emily places a 10-foot tall pole to support the guy wire. After placing the pole, Emily measures the distance from the stake to the pole to be 11 ft: She then measures the distance from the pole to the tower to be 23 ft: Find the length of the guy wire, to the nearest foot.
AHHHHHHHHHHHHHHHHHHH
Answer: look at the image for the answer and solution
Step-by-step explanation:
Answer: x = 365
Step-by-step explanation:
find the angle bisector and divide and multiply it
Kirk prepared 24 kilograms of dough after working 4 hours. How much dough did Kirk prepare if he worked for 7 hours? Solve using unit rates.
If Kirk had worked for 7 hours he would have made 42 kg of dough.
What is unit rate?A unit rate means a rate for one of something.
Given that, Kirk prepared 24 kilograms of dough after working 4 hours, we need to find the amount of dough if he worked for 7 hours.
Calculating the unit rates,
Since, he worked for 4 and made 24 kg,
So, in 1 hour = 24/4 = 6 kg
Therefore, in 1 hour he will make 6 kg
Therefore, in 7 hours he will make = 7x6 = 42 kg
Hence, If Kirk had worked for 7 hours he would have made 42 kg of dough.
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A basketball player plays for 30 out of 48 minutes in a game. She sits on the bench the rest of the game. What percentage of the game did the player sit on the bench?
Answer:5/8
Step-by-step explanation: you put the numbers in a fraction the smallest goes on top and the more enormous number at the bottom you simply by finding the most significant standard number between the 2 numbers which is in this case 6 divide it by that and that is how you get your answer
A study shows that at the end of a school day teenagers typically have 40% of their cell phone battery left when plugged in phone charge at a rate of 3% per minute when using the newest fast charger.
a: write an inequality to represent how many more minutes are needed to reach at least 80% battery life.
b. use the inequality to determine the how many more minutes it will take to have at least 80% battery life
The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of minutes and 'y' be the total battery percentage. Then the equation is given as,
y = 3x + 40
The inequality that represents the more minutes are needed to reach 80 of battery is given as,
3x + 40 ≤ 80
Simplify the inequality, then we have
3x + 40 ≤ 80
3x ≤ 40
x ≤ 13.33 minutes
The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.
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The function f(t)=12,000(1.075)t models the value of an investment t years from now. What is the meaning of the value of f(5)?
Answer:
The value of the investment in 5 years.
Step-by-step explanation:
The description of the function states that it tells us the value of an investment at some point in the future (t), measured in years. In other words, f(t). When the time is 5 years, it would be written as f(5), and the t term in the function will be set to 5 for the calculation, which will yield the value of the investment at that time.
yall know what the blanks are supposed to be??????
Answer: Region Z
Step-by-step explanation: Region X is smaller than Region Y, while Region Y is smaller than Region Z.
For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the quotient of f of x and g of x equals 0 ?
f(x) = ex; g(x) = x2
f(x) = ex; g(x) = ln(x)
f(x) = ln(x); g(x) = ex
f(x) = x; g(x) = ln(x)
The pair of functions f(x) and g(x) below that equals 0 as the limit as x goes to infinity of the quotient of f of x and g of x will be C. f(x) = ln(x); g(x) = ex
How to explain the informationFor the limit of the quotient of f(x) and g(x) to equal 0 as x approaches infinity, it is necessary for f(x) to grow more slowly than g(x).
Out of the options given, the only pair of functions where this is true is f(x) = ln(x) and g(x) = ex. As x approaches infinity, ex grows much faster than ln(x), so the limit of the quotient of these two functions as x approaches infinity is 0.
In conclusion, the correct option is C.
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trinomio cuadrado perfecto
[tex]\alpha^{3} -10\alpha ^{\frac{3}{2} } +25[/tex]
I really need help with this quetion, this would really help
The estimate for the mean book thickness is 3.2 mm.
What is mean?
In arithmetic, mean is the sum of all the added values of all the data in a set divided by the number of data in the set.
To find the mean book thickness, we can use the formula for the mean (also known as the average):
mean = (sum of all data points) / (number of data points)
Since we don't have the exact thickness of each book, but rather intervals of thickness and the number of books in each interval, we can use a weighted mean to estimate the mean thickness.
Here is the calculation:
First, we'll find the midpoint of each interval:
Interval 1: [0, 2] -> midpoint: x1 = 1
Interval 2: [2, 4] -> midpoint: x2 = 3
Interval 3: [4, 6] -> midpoint: x3 = 5
Next, we'll find the weight of each interval by multiplying the midpoint by the frequency:
Interval 1: x1 * f1 = 1 * 5 = 5
Interval 2: x2 * f2 = 3 * 8 = 24
Interval 3: x3 * f3 = 5 * 7 = 35
Finally, we'll sum up the weights and divide by the total frequency to find the weighted mean:
Weighted mean = (5 + 24 + 35) / (5 + 8 + 7) = 64 / 20 = 3.2
So, the estimate for the mean book thickness is 3.2 mm.
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61. Detecting a Speeder A policewoman has positioned herself
500 ft from the intersection of two roads. She has carefully
measured the angles of the lines of sight to points A and B as
shown in the drawing. If a car passes from A to B in 1.75 sec
and the speed limit is 55 mph, is the car speeding?
HINT Find the distance from B to A and use R = D/T.
The Distance between A, B based on the information will be 28.705 feet
How to calculate the distanceFrom the information, the policewoman has positioned herself 500 ft from the intersection of two roads and she has carefully measured the angles of the lines of sight to the points.
Distance between A, B will be:
= 500 tan(15.4) - 500 tan(12.3)
= 500 (tan 15.4 - tan 12.3)
= 500(0.0574)
= 28.705 feet
The speed will be:
= 28.705 / 1.75
= 16.403 ft/s
= 12.3 mph
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Please help with this question!!
According to the information, we plan to have cruising speed on for a minimum of 3 hours and a maximum of 4.1 hours.
How to calculate how many hours we are going to have the cruising speed on?To calculate how many hours we are going to have the cruising speed on we must carry out the following process:
To calculate the minimum we must subtract 35 from 215 and then divide by the speed:
215 - 35 = 180180 / 60 = 3So the minimum hours would be 3 hours.
On the other hand, to calculate the maximum we must add 35 to 215 and divide it by the speed:
215 + 35 = 250250 / 60 = 4.1So the maximum time would be 4.1 hours.
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A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area ( A = lw), how long is the rectangle?
a. 21 inches
b. 340 inches
c. 20 inches
d. 15 inches
The length of the rectangle given the area and width is 21 inches
What is the length of the rectangle:Area of the rectangle = 357 square inches
Width of the rectangle = 17 inches
Length of the rectangle= l
Area of a rectangle = Length × width
357 = l × 17
357 = 17l
divide both sides by 17
l = 357 / 17
l = 21 inches
In conclusion, 21 inches is the length of the rectangle.
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Is -y/4 = 2x -5 linear
Calculate the area of a triangle XYZ with
angle X = 90°, XZ = 15 cm and XY = 12 cm
The area of the right triangle with side lengths of 15cm and 12cm is 90 cm².
What is the area of the triangle ?The area of triangle can be determined using the equation;
Area = 1/2 × base × height.
The angle described forms a right-triangle.
Height of the triangle = XZ = 15cmBase of the triangle = XY = 12cmAngle X = 90°Area A = ?Area = 1/2 × base × height
Area = 1/2 × 12cm × 15cm
Area = 6cm × 15cm
Area = 90 cm²
Therefore, the area of the triangle is 90 cm².
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Multiply and simplify. Show work to earn full credit. (2 − 3)(7 2 − + 8
We can make advantage of the distributive property of multiplication over addition, which says that a(b + c) = ab + ac. As a result, -55 is the simplified expression.
What is distributive property, and what are some examples?When you multiply a value by a sum, the distributive property of multiplication over addition is put to use. For instance, you wish to multiply 5 by the product of 10 plus 3. Since the numbers are similar terms, we typically add the numbers first and then multiply by 5=> 5(10 + 3) = 65.
What is distributive property class 7?An algebraic principle known as the distributive property indicates that it is necessary to multiply each of the two integers by the factor being multiplied by the sum or difference of two terms.
Using this property, we can expand the expression as follows:
(2 − 3)(7 2 − + 8) = 2(7 2 − + 8) − 3(7 2 − + 8)
Now we can simplify each term separately:
2(7 2 − + 8) = 2(49 − 2 + 8) = 2(55) = 110
and
−3(7 2 − + 8) = −3(49 − 2 + 8) = −3(55) = −165
Therefore, putting the results together, we have:
(2 − 3)(7 2 − + 8) = 110 − 165 = -55
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[tex]64x {}^{3} + y {}^{3} [/tex]
factorise fully
B = { x: 1≤ x ≤ 11 where x is a prime number} What is x?
Answer: x is anything from the set {2, 3, 5, 7, 11}
This is the list of primes between 1 and 11. The value 1 is not prime.
Pls solve 3,4,5!!! Tyyy (I will mark brainliest!)
Answer:
Step-by-step explanation:
4 = d
5=1/5
3 the first one is 4x1/12 and 2x3/12
