Answer:
0.40a+ 0.40b 0.40(a + b)Step-by-step explanation:
If a apples sold then profit is:
0.40aIf b bananas sold then profit is:
0.40bTotal profit is the sum of the profits:
0.40a + 0.40bCorrect options are D and E ( or 4 and 5)
A farmer has 13 cows.a bolt of lightening kill all but 5 of them.how many cows survived?
Answer:
8 cows survived
Step-by-step explanation:
13-x=5
-x=5-13
-x=-8
x=8
give brainliest please!
hope this helps :)
Answer:
all of them
Step-by-step explanation:
a litghing bolt isnt strong inof to kill a cow
Suppose that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive. Most computer system problems due to manufacturing defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let them run for a few hours to see if any problems crop up. Let
A=Event that a newly purchased monitor operates properly.
B=Event that a newly purchased mouse operates properly.
C=Event that a newly purchased disk drive operates properly.
D=Event that a newly purchased computer processor operates properly.
Suppose that the four events are independent, with
P(A)=P(B)=0.98, P(C)=0.97, P(D)=0.99
Find the following probabilities:
All 4 components are working properly.
All components are working properly except for the monitor.
The monitor or the processor operates properly.
SHOW ALL YOUR WORK and Round your answers to nearest four decimal places.
16. If you have $60, for how many hours can you rent a canoe?
What is the slope of the line through (-3,0) and (-1,-5)?
Answer:
-5/2 (I think)
Step-by-step explanation:
went up 5 and left 2 and from (-1,-5) and since i went left it is negative
An animal shelter provides a bowl with 1.25 liters of
water for 3 cats. About how much water will be left after the cats
drink their average daily amount of water
Answer:
.5
Step-by-step explanation:
1.25/3 sorry if that's wronf
pleassse help asaap plz its 1 easy question
The sum of two-fifths of y and one-sixth of h, minus 2
hi <3
i'm assuming you want the expression written out
it would be:
(2/5y + 1/6h) - 2
hope this helps :)
the price of a new car is 23% more than the price of a 3-year old car. if the price of the new car was $12,400, what is the price of the 3-year old car?
Answer: To find the price of the 3-year old car, we need to determine how much less it is than the new car, which is 23% of the price of the new car.
We can start by finding the value of 23% of the price of the new car, which is: $12,400 x 0.23 = $2,832
Now we know that the price of the 3-year old car is $2,832 less than the price of the new car. To find the price of the 3-year old car, we subtract $2,832 from the price of the new car: $12,400 - $2,832 = $9,568
So the price of the 3-year old car is $9,568.
Step-by-step explanation:
Cole and Bryson went to Video Game Land. Cole won 152 tickets. Bryson won 84 tickets. They want to put their tickets together to get a large toy monkey that costs 300 tickets. How many more tickets do they need?
Answer:
64
Step-by-step explanation:
152+84=236
300-236=64
factorise fully:
1) 2014² - 2013²
please explain and help
You may need to bust some of the equations before you solve 1/3 (6a-9)=27
Answer:
a = 15
Step-by-step explanation:
1/3 (6a - 9) = 27
multiply through by 3
1/3 x 3(6a - 9) = 27 x 3
(6a - 9) = 81
Group like terms
6a = 81 + 9
6a = 90
Divide both side by 6
6a/6 = 90/6
a = 15
specify a change in the conditions above that make this greedy algorithm fail. also, show an example that demonstrates the failure.
An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity.
What is greedy algorithm?
Any algorithm that employs the problem-solving heuristic of selecting the locally optimal option at each stage is said to be greedy.
A greedy algorithm is an algorithmic paradigm that follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.
One way that the greedy algorithm can fail is if the problem has multiple locally optimal solutions that lead to different global optimal solutions.
For example, consider the problem of finding the shortest path through a maze. Suppose that the maze has two different paths that are both the same length, but one leads to the exit while the other does not. A greedy algorithm that always chooses the shorter path at each step will get stuck in the path that does not lead to the exit, because it is making locally optimal choices but not finding the global optimal solution.
Another way that the greedy algorithm can fail is if the problem requires a certain amount of "lookahead" in order to find the optimal solution. For example, consider the problem of scheduling a set of tasks with given start and end times and durations. A greedy algorithm might always choose the task with the earliest start time at each step, but this may not lead to the optimal schedule if the task with the earliest start time has a long duration and conflicts with other tasks that need to be completed later. In this case, the greedy algorithm needs to consider the duration of the tasks and the effect on future tasks in order to find the optimal solution.
An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity. A greedy algorithm might always choose the item with the highest value-to-weight ratio at each step, but this may not lead to the optimal solution if the items with the highest value-to-weight ratio do not fit in the knapsack or if they leave no room for other items with lower value.
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A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Simplify 4x²y + 12z² + 6x²y – 2z.
10x²y + 12z² - 2z
10x²y + 14z²
20x²yz²
10x²y + 10z²
Answer:
Group the like terms together:
4x²y + 6x²y + 12z² - 2z
Simplify:
10x²y + 12z² - 2z
The simplified expression is 10x²y + 12z² - 2z.
Step-by-step explanation:
Answer:
The simplified expression is 10x²y + 12z² - 2z
Step-by-step explanation:
To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:
4x²y + 6x²y = 10x²y
-2z + (-2z) = -4z
So the expression simplifies to:
10x²y + 12z² - 4z
We can further simplify this expression by combining the terms with the variable z:
12z² - 4z = 4z(3z - 1)
Therefore, the final simplified expression is:
10x²y + 4z(3z - 1)
We can also write this expression as:
10x²y + 12z² - 2z
which is the answer provided.
Felix has a gross income of $16,500. He is filing as Single. What is his total tax due?
Therefore , the solution of the given problem of unitary method comes out to be Felix's overall tax due is $395.
Unitary method: What is it?The task can be finished by applying what was learnt, making use of this access to the world, and fusing all essential components from earlier researchers who used a certain methodology. If the required claim outcome materialises, the entity stated expression in the statement can then either be additionally discovered or both important processes will absolutely miss the expression.
Here,
The tax brackets and rates for single taxpayers are as follows, per the IRS tax tables for 2021:
=> 10% of taxable earnings between $0 and $9,950
=> 12 percent of taxable income between $9,950 and $40,525
=> 22% of tax-exempt income between $40,525 and $86,375
=> 24% of taxable income between $164,925 and $86,375
=> over $164,925 to $209,425 in taxable income, 32%
=> over $209,425 to $523,600 in taxable income, 35%
=> above $523,600 in taxable income, 37%
Felix's yearly gross income is $16,500, and in 2021, the single filer standard deduction is $12,550. His taxable income is thus:
=> $16,500 - $12,550 = $3,950
Felix is subject to 10% tax because his taxable income is less than $9,950. Thus, the amount of his tax is:
=> 10% of $3,950 = $395
Hence, Felix's overall tax due is $395.
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There are five main roads between the cities A and B and 4 between B and C. In how many ways can a person drive from A to C and return without driving on the same road twice?
There are 20 possible routes that a man could take to go between cities and then take a different route back.
What is meant by permutation?In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.
Let the number of roads between the cities A and B = 5.
The rules of permutation must be used in this situation.
A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.
The man uses five different routes to get from A to B because there are five different routes accessible.
He can get back by 4 (5 1) methods because he needs to take a different route.
Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.
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Ian ran 12.2 in the morning. After lunch, he continued running. When he finished the run, he had covered 31.5 km in all. Write an equation that can be used to find how far Ian ran after lunch
Answer:
31.5-12.2= x
Step-by-step explanation:
If he already ran 12.2 km, then ran after lunch and in total ran 31.5 km, the answer would be the part he didn't run. You can find that out by subtracting what you know he already ran from the total.
8 Luke has $1,000 to be distributed among two groups equally. Later,
he first part is divided among five children. Write and evaluate an
expression to show how much each child recieves?
1. (19x2 + 2x+12) + (7x2+ 10x+13)
(19x2 + 2x+12) + (7x2+ 10x+13)
= 19x2 + 2x+12 + 7x2+ 10x+13
Rearranging
= 19x2 + 7x2 +2x + 10x + 12 + 13
= 26x2 + 12x + 25
please help
Solve for n. 5 + 2n = 7
Answer:
n=1
Step-by-step explanation:
5+2n=7
2n=7-5
2n=2
n=1
Answer:
n=1
Step-by-step explanation:
work is shown in picture
can anyone help me ??? pleassee on both of em
Answer:
28. B
29. D
30. A
Step-by-step explanation:
28.
2 5/8 yd × 5/6 yd =
= 21/8 × 5/6 yd²
= 105/48 yd²
= 35/16 yd²
= 2 3/16 yd²
Answer: B
29.
2641 becomes 6241.
In 6241, the 6 is in the thousands place.
6 × 1000 = 6000
Answer: D
30.
90 + 7 × (7 - 1) =
Use the correct order of operations.
= 90 + 7 × 6
= 90 + 42
= 132
Answer: A
What is the simplified form of V10,000 ,
100x³²
..................
A person is standing on the equator of Earth (radius 3960 miles). What are his linear and angular speeds?
Answer:
Linear speed =ωr=2π/86400×3960=11π/120 miles/s.
Step-by-step explanation:
The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
It is given that radius of equator of earth is 3960 miles.
We have to find the linear and angular speeds.
What do you mean by the linear speed ?
The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.
As per the question ;
radius of equator of earth = 3960 miles
The linear speed will be ;
s = rθ / t
We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.
So ;
s = (3960 miles × 2π) / 24 hour
s = 330π miles / hour
s ≅ 1036.73 miles / hour
And
The angular speed will be ;
ω = s / r
ω = 1036.73 / 3960 minutes
ω = 0.26 radian/hour
Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
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A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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3n-5=-8(6+5n) in distributive property
Answer:
n=-1
Step-by-step explanation:
3n-5=-8(6+5n)
3n-5=-48-40n
add 40n to both sides
43n-5=-48
n=-1
Step-by-step explanation:
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?
Answer:
21°
Step-by-step explanation:
In an sosceles trapezoid, the lower base and upper base angles are congurent
⇒ ∠HGF = ∠EFG
⇒ 9y + 3 = 8y + 5
⇒ 9y - 8y = 5 - 3
⇒ y = 2
⇒ ∠HGF = 9(2) + 3
= 18 + 3
= 21
The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.
Explanation:This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.
Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.
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60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answer:
800 books
problem solving steps:
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
Account A has a simple annual interest rate 1.5% and Account B has a simple annual interest rate of 6%. How much more interest do you earn per year when you deposit x dollar in Account B instead of Account A ?
When you deposit x dollars in Account B instead of Account A, you would earn an additional 0.045x dollars in interest per year.
To solve this problem
We need to compare the interest earned from each account.
The interest earned for Account A with a 1.5% simple annual interest rate can be computed as follows:
Interest A = (Simple interest rate A / 100) * Principal A
The calculation of the interest earned for Account B with a simple yearly interest rate of 6% is as follows:
Interest B = (Simple interest rate B / 100) * Principal B
Subtracting the interest earned in Account A from the interest earned in Account B yields the difference in interest:
Difference in interest = Interest B - Interest A
Let's plug in the values and calculate the difference:
Difference in interest = ((6 / 100) * x) - ((1.5 / 100) * x)
= (0.06x) - (0.015x)
= 0.045x
Therefore, when you deposit x dollars in Account B instead of Account A, you would earn an additional 0.045x dollars in interest per year.
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a system of linear equations in two variables can have only a unique solution.explain
Step-by-step explanation:
Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.
Answer:
no it not have a unique solution.