On interchanging the logical AND operator with logical OR operator and zeroes with ones,
(B'+C).A = (B'.C) + A
Now, According to the question:
Concept:
Duality theorem states that the dual of the Boolean function is obtained by interchanging the logical AND operator with logical OR operator and zeroes with ones. For every Boolean function, there will be a corresponding Dual function.
Calculation:
On interchanging the logical AND operator with logical OR operator and zeroes with ones,
(B'+C).A = (B'.C) + A
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The complete question is this:
Calculate the dual of the Boolean expression (B' + C).A
EASY POINTS!!! Pls help!!!
Answer:
a) Its first term, a₁ -1,190
b) Its second term, a₂ = -1,186
c) Its third term, a₃ = -1,182
Step-by-step explanation:
The 100th term of the arithmetic progression, AP = 406
The common difference of the AP = 4
The formula to find the nth term of an AP, aₙ is given as follows;
aₙ = a + (n - 1)·d
Where;
aₙ = The nth term of the AP
a = The first term of the AP
a) Given the 400th term and the common difference, we have;
a₄₀₀ = 406 = a + (400 - 1) × 4
406 = a + 399 × 4
a = 406 - 399 × 4 = -1,190
The first term of the AP, a = -1,190
b) The second term of the AP, a₂ = -1,190 + (2 - 1) × 4 = -1,186
The second term of the AP, a₂ = -1,186
c) The third term of the AP, a₃ = -1,190 + (3 - 1) × 4 = -1,182
The third term of the AP, a₃ = -1,182.
please help will give brainliest please no links I rlly need this
A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred
B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth. Answer:
Step-by-step explanation:
1st,
the area of the rectangular =7×5=35
area of triangle =3×4/2=6
area of square =2×2=4
area of shadowed region =35-(6+10)=25
According to the question,
A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred
answer:-
probability of a point in rectangle inside triangle =6/35=0.17
B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth.
answer:
probability of that a point chosen randomly inside the rectangle will be in the shaded region=25/35=5/7=0.71
A developer wants to develop a 18-acre subdivision. He figures that the streets and common area will take up about 20% of this overall area. If the minimum lot size is to be 10,000 SF, how many lots can the developer have on this property
Developer has 627264 square feet land available.
What means lot size?The minimum permissible quantity of an asset that is accepted for purchasing.
How many lots the developer has as per question?
A developer wants to develop 18-acre property = 784080 square feet area
he notices that street and common area will take up about 20% of total area.
hence, the remaining area for developing works = 80%
the amount of land rest for the developer = 784080 ×80 /100
= 627264 square feet.
there is a rule that minimum lot size is to be 10000 square feet for developing works,
the above amount 627264 square feet lot can the developer have on this property that is higher than the minimum lot value.
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What are the 5 operations of functions?
The 5 operations of functions are
1. Input
2. Processing
3. Output
4. Storage
5. Maintenance
Input: When a function is used, it takes in an input value. This input value is used to compute the output. For example, if a function is used to calculate the area of a circle, the input would be the radius of the circle.
Processing: Once the input value is taken, the function will use the input to perform some type of operation on it. For example, if the function is used to calculate the area of a circle, the operation would be to multiply the input by itself and then multiply it by the constant pi.
Output: The output of a function is based on the input. For example, if the function is used to calculate the area of a circle, the output would be the area of the circle.
Storage: Once the output of a function is computed, it can be stored for later use. This allows the same output to be used multiple times without having to recalculate the output.
Maintenance: Functions need to be maintained and updated over time. This can include updating the input, operation, and output, as well as any additional changes that might be needed. This ensures the function is up-to-date and still provides accurate results.
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A person invests 7000 dollars in a bank. The bank pays 6.25% interest compounded
semi-annually. To the nearest tenth of a year, how long must the person leave the
money in the bank until it reaches 11300 dollars?
Answer:
5.3 years or 17.2 years
Step-by-step explanation:
uhm help please no links -^-
Answer:
x = 58
Step-by-step explanation:
180 - 148 = 32
32 + 90 + x = 180
122 + x = 180
180 - 122 = x
x = 58
Have a nice day!
Answer:
x=58
Step-by-step explanation:
because i have took this test
Does 5 12 13 make a right triangle?
The sides of the triangle having length as 5 units , 12 units and 13 units make a Right Triangle because the condition to form a right triangle is satisfied by the given sides .
The Pythagoras Theorem is used to check whether the sides form a right triangle or not , it states that square of the lonest side (hypotnuse) of the triangle is equal to sum of square of other two sides ( perpendicular and Base) ,
The side lengths of triangle = 5 units , 12 units and 13 units ,
By Pythagoras theorem , we have [tex]13^{2} = 12^{2} + 5^{2}[/tex]
On simplifying ;
we get ;
[tex]169 = 144 + 25[/tex] ;
[tex]169 = 169 ;[/tex]
the condition of Pythagoras theorem is satisfied ,
that means the sides form a right triangle .
Therefore , the side 5 units , 12 units and 13 units make a right triangle .
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When treated with an antibiotic, 93% of all the dolphins are cured of a particular bacterial infection. If 6 dolphins with the particular bacterial infection are treated, find the probability that exactly 3 are cured.
Answer:
the probability is 0.00552
Step-by-step explanation:
If 93% are cured, the percentage not cured will be 100-93 = 7%
let p = probability of being cured = 93% = 93/100 = 0.93
q = probability of being uncured = 7/100 = 0.07
so we proceed to use the bernoulli approach;
we have this as;
P(X = n) = X C n p^n q^n-1
P(X = 3) = 6 C 3 * 0.93^3 * 0.07^3
P(X = 3) = 0.00552
probability:
a) A family wants to have 4 children. Design and do a simulation to determine the probability that, if they do have 4 children, they will have two boys and two girls. (Hint: Use coins.)
b) A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)
a) A simulation of the probability that a family with 4 children will have 2 boys and 2 girls can be done using coins. We can represent boys as heads (H) and girls as tails (T).
To simulate the birth of one child, we will flip a coin. If it comes up heads, it represents the birth of a boy, and if it comes up tails, it represents the birth of a girl. We will repeat this process four times to simulate the birth of four children.
We can use the simulation to estimate the probability of the family having 2 boys and 2 girls. We can do this by performing the simulation multiple times (e.g. 100, 1000 or more) and counting the number of times that the family has 2 boys and 2 girls.
The probability can be calculated by dividing the number of successful outcomes (2 boys and 2 girls) by the total number of simulations.
b) A simulation of the probability that a basketball player will hit at least 75% of his shots within the groups can be done using coins. We can represent hitting a shot as heads (H) and missing a shot as tails (T). To simulate one shot, we will flip a coin. If it comes up heads, it represents hitting the shot, and if it comes up tails, it represents missing the shot. We will repeat this process four times to simulate the shooting of four shots.
To determine the probability of hitting at least 75% of the shots, we will perform the simulation multiple times (e.g. 100, 1000 or more) and count the number of times that the player hits at least 3 out of 4 shots.
The probability can be calculated by dividing the number of successful outcomes (3 or 4 shots hit) by the total number of simulations
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1. The numbers ______ and _____ are respectively the additive and multiplicative identities of rational numbers
Answer: 0 and 1, in that order
The numbers 0 and 1 are respectively the additive and multiplicative identities of rational numbers.
===========================================================
Explanation:
The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.
The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.
These ideas not only apply to rational numbers, but to real numbers as well.
The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.
Properties of 9-divisible numbersA number is itself divisible by nine if the total of its digits is also nine digits.
Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine.
By utilizing the aforementioned attribute, we can
3 + A +A +1 = 9, OR 18, OR 27
4 + 2A = 9, OR 18, OR 27
using 18
2A = 18 - 4
2A = 14
A = 7
therefore we can say that the number is 3771
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Select the values that make the inequality 5u> -80 true. Then write an equivalent
inequality, in terms of u.
(Numbers written in order from least to greatest going across.)
-26
0 -17
0-13
0 -21
☐ -16
Submit Answer
0 -11
Equivalent Inequality: u
□ -19
0-15
-6
The value u > -16 that makes the inequality 5u > -80 is true.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
We have the inequality,
5u > -80
To find the solution set of the inequality;
Divide by 5 to both sides,
5u/5 > -80/5
u > -16.
That means, the inequality is true for u > -16.
Therefore, the inequality is true for u > -16.
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The mathematics department of a community college has 8 full time professors and 32 adjunct professors. Each full time professor teaches 6 courses, and each adjunct professor teaches 2 courses. Each course requires an average of 1,350 sheets of paper for duplicating. If the department purchases paper in reams of 5000 sheets, how many reams of paper will the mathematics department purchase?
Step-by-step explanation:
bit.^{}
ly/3gVQKw3 here in this link
Answer: the answer is 31 I just submitted it
Step-by-step explanation:
What property of multiplication is 5x1 5 1x5 5?
The property used in this is the commutative law of multiplication.
What is the commutative law of multiplication?
In mathematics, commutative law refers to either of two rules relating to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Here, we have
Given: 5x1 = 5 = 1x5
We have to find which property of multiplication is applied here.
5x1 = 5
1x5 = 5
We concluded from the given statement that the commutative law of multiplication is applied here.
commutative law of multiplication: ab = ba
Hence, the property used in this is the commutative law of multiplication.
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Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have
The number of nickels that Sonji has as per the given equation is 63.
What is the value of N mean?In mathematical operations, “n” is a variable, and it is often found in equations for accounting, physics and arithmetic sequences. A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations. In an arithmetic sequence, which is a list of numbers that follow a pattern, “n” is a variable representing the number of the term to find.For instance, if students want to find the value of the seventh term, “n” would be 7. In physics, an equation for standing waves uses “n” as an integer symbolizing the harmonic number or number of antinodes. The equation evaluates the length of the string in terms of its wavelength. In accounting, “n” is used in the equation for compound interest. It represents the number of compounding in 1 year.We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
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What is -(-7)
GIVING BRAINLIEST
Step-by-step explanation:
answer is +7
hope it helps you
Find the length of each arc
Answer:
look at the picture I sent
PLEASE HELP ME!!!!!!!!!
Answer:
1
Step-by-step explanation:
[h(-4) - h(-1)] ÷ ((-4-(-1))
[(16-24+5) - (1-6+5)] ÷ -3
(-3-0) / -3
-3/-3 = 1
Find the first 5 terms of the sequence
A(n)=n+A(n-1) a1 = 3
Answer:
A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17
Step-by-step explanation:
Given A(n) = n + A(n–1) a1 = 3.
A(1) = 3.
A(2) = (2) + A(2–1)
= (2) + A(1)
= (2) + (3) = 5
A(3) = (3) + A(3-1)
= (3) + A(2)
= (3) + (5) = 8
A(4) = (4) + A(4–1)
= (4) + A(3)
= (4) + (8) = 12
A(5) = (5) + A(5–1)
= (5) + A(4)
= (5) + (12) = 17
Solve for x
A) 0.9
B) 160
C) 10
D) 1.1
Answer:
A) 0.9
Step-by-step explanation:
Since these chords are perpendicular, we know that the proportion of each length is equal. Thus 3/40 = x/12, which we can solve to find x = 0.9
Three rectangular prisms are shown below.
Which statement is true?
The volume of Prism A is less than the volume of Prism C.
Prism B has the greatest volume.
Prism B has a greater volume than Prism C.
Prism B and Prism C have the same volume.
Answer:
Prism B has a greater volume than Prism C
Step-by-step explanation:
Prism A: 36
Prism B: 30
Prism C: 28
A quadrilateral has only 2 right angles and 1 pair of parallel sides. What is the name of the quadrilateral?
pls help
Answer: Trapezium
Step-by-step explanation:
Given
Quadrilateral has only 2 right angles and 1 pair of parallel sides. This is possible in case of trapezoid. Here, 2 non-parallel side are connected with parallel sides which forms right angle. This can be shown by the figure shown below.
Someone help plz make sure it’s right:) will make brainiest
give an example when the mean and median might have the same value
10,20,30,40,50
Here, 30 is both mean and median.
Answer:
1,2,3.
Step-by-step explanation:
It's simple. But here's the math.
1+2+3÷3=2
And the median of the number is 2.
Please Help!!
Translate Pre Image coordinates
using the rule (y – 10).
A (9, 15) B (-1, 5) C (-1, 15)
Post Image Coordinates:
A’ ________ B’ ________ C’ _________
Answer:
A' = (9, 5)
B' = (-1, - 5)
C' = (-1, 5)
Step-by-step explanation:
A' = (9, 15 - 10) = (9, 5)
B' = (-1, 5 - 10) = (-1, - 5)
C' = (-1, 15 - 10) = (-1, 5)
Which explanation can be used to informally derive the formula for the volume of a cylinder? Responses A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack.
The explanation can be used to informally derive the formula for the volume of a cylinder, which is the correct answer would be option (D).
What is a cylinder?Usually, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric forms. It is a prism with a circle as its basis in elementary geometry. In some recent fields of geometry and topology, a cylinder can alternatively be defined as an infinite curved surface.
Given that, Which explanation can be used to informally derive the formula for the volume of a cylinder
We know that the volume of a cylinder = πr²h
So, consider option (D).
A cylinder is similar to a circular stack. The volume of the cylinder would be equal to the area of the circle multiplied by the cylinder's height. The height of the cylinder reflects the number of circles in the stack.
Therefore, we get the formula πr²h, where πr² represents the area of the circle and h the height of the circle.
Hence, With this reasoning, we may get the formula for cylinder volume informally.
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On a map, 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5 inches on the map?
Answer:
IT is B
Step-by-step explanation:
edge duh
Can someone please explain how to do this I going to have it on a test PLEASE HELP
Answer:
The Number is 11
Step-by-step explanation:
by first condition
we got it is an odd number
second condition
number less then12
third condition
between 10 to 14
Now,
odd number between 10 to 14
is 11 and 13
13 is greater then 12
therefore 11 is your answer
Kira is going to the airport. It is 9:50 AM right now. Kira's flight will depart in 3 hours 39 minutes. What is the departure time of her flight?
x / 7 = -8
what is the answer
A:15
B: -15
C: 56
D: -56
Answer:
x / 7 = -8
D) -56
-56/7 = -8
Answer:
D. X=-56 (the answer should have a negative sign.)Step-by-step explanation:
To solve this problem, first, you have to isolate by the x from one side of the equation.
Multiply by 7 from both sides of an equation.
x/7=-8
[tex]\sf\dfrac{7x}{7}=7(-8)[/tex]
Solve.
7(-8)=-56
[tex]\large\boxed{x=-56}[/tex]
Therefore, the correct answer is d. x=-56.