Answer:
Computational science is a discipline concerned with the design, implementation and use of mathematical models to analyse and solve scientific problems. Typically, the term refers to the use of computers to perform simulations or numerical analysis of a scientific system or process.
Step-by-step explanation:
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
of the 50 students in the cafitera, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=48
Step-by-step explanation:
Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x
Answer:
#1 is x+23°=23
#2 is x+61°=61
Step-by-step explanation:
Because when you are adding it will always be a positive number
But when you are subtracting it will always be a negative number
3 units right and 4 units down
Answer:
(3, 4)
Step-by-step explanation:
what is the area of the figure?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
you can split it into two parts. One with 4 x 3 = 12 and the other with 2 x 6 = 12. then add them together and you get 24.
uhm help pleaseeee <3
They can buy 20 pumpkins
Answer:
they can buy 20 pumpkin
Step-by-step explanation:
250/12.32=20.29222077922
so 20 pumpkin they can buy
Every chord is NOT diameter. But every diameter is a chord.” Do you agree or disagree with the statement? Justify.
Answer:
Yes
Step-by-step explanation:
The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.
In a game you have 1/20 probability of winning $76 and a 19/20 probability of losing $9. What is your expected value?
Answer:
1
Step-by-step explanation:
The expected value for the given case is $-4.75.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
Given that,
The probability of winning $76 is 1/20.
And, the probability of losing $9 is 19/20.
The expected value for the given probability can be given by taking the product of the probability and the wining or losing amount and then substracting them as,
Expected value = 1/20 × 76 - 19/20 × 9
= 3.8 - 8.55
= -4.75
Hence, the expected value of amount for losing and winning the game is $-4.75.
To know more about probability click on,
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You are buying tickets to a school event. You may purchase at most 8 tickets to receive a discount. Write an inequality to express the number of tickets you can buy with a discount.
A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours
Answer:
22 Hours
Step-by-step explanation:
26400/20 = 1320m
1320m = 22h
22 Hours
According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.
What is the probability that a randomly selected 3-year-old is enrolled in day care?
Given parameters:
Percentage of enrollment of 3-year-olds = 40%
Unknown:
Probability that a randomly selected 3-year-old is enrolled in a day care = ?
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome}{Total out come}[/tex]
In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.
We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.
The possible enrollment is 40 and the total is 100;
Input the parameters and solve;
Probability = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]
6/10 as hundredths in fraction form and decimal form
Answer:
60/100 and .6
Step-by-step explanation:
If you flip a coin 11 times, what is the probability of ending up with more heads than tails?
Answer:
55%
Step-by-step explanation:
A team won 8 of 24 games it played in one season what percentage of games did it win
Answer:
it would have won 1/3 or .333333
Step-by-step explanation:
8/24 simplifies to 1/3, which equals .33333
Answer:
I'm pretty sure it's 33%
Step-by-step explanation:
8 is 1/3 of 24 and 1/3 as a fraction is 33%
the number of painted turtles in a pond is one less than half of the number of bullfrogs. Let f represent the number of bullfrogs. Write an expression fro the number of painted turtles
Answer:
X = 1/2f - 1
Step-by-step explanation:
X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.
What is the solution to this equation?
3(4x + 3) = 2x - 5(3 - x) + 2
A.
o o
O
-
O
D.
-
Answer:
-0.86
Step-by-step explanation:
12x + 9 = 2x - 15 + 5x + 2
Combine
19x = -22
6th grade math i mark as brainly
Answer:
Points G and J are correct.
Step-by-step explanation:
You need 660 mL of a 80% alcohol solution. On hand, you have a 40% alcohol mixture. How much of the 40%
alcohol mixture and pure alcohol will you need to obtain the desired solution?
You will need
mL of the 40% solution
and
mL of pure alcohol.
Submit Question
Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.
You want to end up with a volume of 660 mL, so
a + b = 660
For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and
0.4a + b = 528
Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :
(a + b) - (0.4a + b) = 660 - 528
0.6a = 132
a = 220
Then
220 + b = 660
b = 440
So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.
How many atoms is 4.00 grams of iron
(Fe)?
Answer:
226
Step-by-step explanation:
Statements with nested quantifiers: English to logic, part 4. About A student club holds an election for officers. Before the voting, members can nominate each other. It is also possible for a member to nominate himself or herself. Some of the members are new members. Some of the members are currently officers. The domain is the set of members of the club. One of the members of the club is named Sam. Define the following predicates. N(x, y): person x nominated person y for a position. W(x): person x is a new member. O(x): person x is currently an officer. Give a quantified expression that is logically equivalent to each of the following statements.
(a) All the new members nominated all the officers.
(b) One of the current officers did not nominate anyone.
(c) Everyone nominated someone.
(d) Someone nominated everyone.
(e) Everyone nominated someone other than themselves.
(f) Exactly one person nominated Sam.
Answer:
someone please answer this equation
Step-by-step explanation:
i have this on my test and i really need help with it
How can you solve linear equations by combining like terms?
Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
I HOPE THIS HELPED ! :) mark me brainlist pls
Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
3x square - 6x + 3=0
Answer: 1
Step-by-step explanation:
First you need to multiply 3 x 3 (9), because that's all 3 squared means.
Now the equation should be 9x-6x+3=0
Next we need to combine like terms. Do 9x - 6x which should give you 3x
Now your equations should be 3x+3=0
Now for the somewhat harder part...
Under the three (the one without the x) write -3 and under the zero write the same thing. the +3-3 cancels out so just put a line or something across it.
0-3= -3
so now you should have...
3x=-3 ignore the 3x, at this point it's useless in getting the answer because it would cancel out.
-3 divided by -3 is 1 because a negative (-) divided by a negative (-) equals a positive (+).
The answer should be x = 1
what is -7 + 4 = im gonna give you guys 5 days to firgure this out then i will tell the answer
Answer:
negitive 3
Step-by-step explanation:
i think of it like digging. Negitive going down and positive going up aka put dirt down in the whole. so i am down 7 so i add dirt because the 4 is positive. so then i am at 3. wait make that negitive 3. so the answer is negtive 3.
Answer:
-3
Step-by-step explanation:
What is -3.2 + (1 1/2) + (-2)
Answer:
-3.7
Step-by-step explanation:
-3.2 + 1.5 -2 = -3.7
Answer:
-5/2
Step-by-step explanation:
-6+11/2+(-2)
-12+11+(-4)/2
-5/2
14=−2c−6−3c what is the value of c?
Answer:
c=-4
Step-by-step explanation:
14=-2c-6-3c
14=-5c-6
20=-5c
-4=c
15/4 divided by -5/8
Answer:
-6
Step-by-step explanation:
Answer:
-6/1 or just -6
Step-by-step explanation:
15/4 ÷ (-5/8) is -6/1 .
Find the reciprocal of the divisor
Reciprocal of (-5/8) : (-8/5)
Now, multiply it with the dividend
So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)
= 15 × (-8) = -120
4 × (-5) = -20
After reducing the fraction, the answer is -6/1 or just -6.
Find the distance and midpoint between the pair of points. A(-1, 0), B(2, -4)
Answer:
distance is 5
midpoint is (1/2,-2)
Step-by-step explanation:
Proof practice for geometry!
Need Help!
idek dwjejdjjriiwknansns
Step-by-step explanation:
nmjwjw
Please help!!!!!!!!!!!!!
Answer:
37, 3, 37
Step-by-step explanation:
What is the solution to the system of equations?
6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3,
2
9
)
D) no solution
Answer:
no solution
Step-by-step explanation:
[1] 6x - 9y = 16
[2] 2x - 3y = 7
// Solve equation [2] for the variable x
[2] 2x = 3y + 7
[2] x = 3y/2 + 7/2
// Plug this in for variable x in equation [1]
[1] 6•(3y/2+7/2) - 9y = 16
[1] 0 = -5 => NO solution
No solution
