Answer:
-2 x 2 - 4x + 3
If x = -2, then . . .
-2 x 2 -(-4 x -2) + 3
-2 x 2 + 8 + 3
The answer is 7
I know this because of
( )
Exponents
x or /
+ or -
-2x2-4(2)+3 = 7 because x=3 so,
-2x2-8+3
7
Twenty-seven (27) months is months less than 3 years.
Answer:
9 months
Step-by-step explanation:
3*12-27
36-27
9
3. For each differential equation, find the Laplace transform of the solution y:
3y' + 5y = x^2 , y(0) = 2.
y'' − y = 5e^−4x + 2x, y(0) = y'(0) = 0.
y'' + 3y' + 2y = 5 sin(πx), y(0) = y'(0) = 0.
Answer:
See below for answer
Step-by-step explanation:
First problem
[tex]3y'+5y=x^2,\: y(0)=2\\\\3\mathcal{L}\{y'\}+5\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\3[sY(s)-y(0)]+5Y(s)=\frac{2}{s^{3}}\\ \\3[sY(s)-2]+5Y(s)=\frac{2}{s^{3}}\\\\3sY(s)-6+5Y(s)=\frac{2}{s^{3}}\\\\(3s+5)Y(s)-6=\frac{2}{s^3}\\ \\(3s+5)Y(s)=\frac{2}{s^3}+6\\\\Y(s)=\frac{2}{s^3(3s+5)}+\frac{6}{3s+5}\\ \\Y(s)=\frac{2+6s^3}{s^3(3s+5)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{2+6s^3}{s^3(3s+5)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{3s+5}\\ \\2+6s^3=s^2(3s+5)A+s(3s+5)B+(3s+5)C+s^3D\\\\2+6s^3=3s^3A+5s^2A+3s^2B+5sB+3sC+5C+s^3D\\\\2+6s^3=3s^3A+s^3D+5s^2A+3s^2B+5sB+3sC+5C\\\\2+6s^3=s^3(3A+D)+s^2(5A+3B)+s(5B+3C)+5C[/tex]
Solve for each constant
[tex]\begin{cases} 3 A + D = 6\\5 A + 3 B = 0\\5 B + 3 C = 0\\5 C = 2 \end{cases}[/tex]
[tex]5C=2\\C=\frac{2}{5}[/tex]
[tex]5B+3C=0\\5B+3(\frac{2}{5})=0\\5B+\frac{6}{5}=0\\5B=-\frac{6}{5}\\B=-\frac{6}{25}[/tex]
[tex]5A+3B=0\\5A+3(-\frac{6}{25})=0\\5A-\frac{18}{25}=0\\5A=\frac{18}{25}\\A=\frac{18}{125}[/tex]
[tex]3A+D=6\\3(\frac{18}{125})+D=6\\\frac{54}{125}+D=6\\D=\frac{696}{125}[/tex]
Take the inverse transform and solve for the IVP
[tex]Y(s)=\frac{\frac{18}{125}}{s}+\frac{- \frac{6}{25}}{s^{2}}+\frac{\frac{2}{5}}{s^{3}}+\frac{\frac{696}{125}}{3 s + 5}\\\\y(x)=\frac{18}{125}-\frac{6}{25}x+\frac{1}{5}x^2+\frac{232}{125}e^{-\frac{5}{3}x}[/tex]
(1-1/10)(1-1/11)(1-1/12)...(1-1/99)(1-1/100)
Answer:
actually it's 0
Step-by-step explanation:
all of them have 1-1 and that is 0 and no matter what number you divide it by you will get 0
pls give me brainlest
A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet. What is the volume of the pool? 25 ft³ 100 ft³ 500 ft³ 1,000 ft³
please answers soon i'll give you 50 points!!
Answer:
D. 1000 ft³Step-by-step explanation:
The volume is the product of base area and the height:
V = BhFind the volume:
V = 200 *5 = 1000 ft³Correct choice is D
The large rectangle below represents one whole.
What percent is represented by the shaded area?
Answer:
[tex]\huge\boxed{\sf 30 \%}[/tex]
Step-by-step explanation:
Total blocks of large rectangle = 20
Shaded region = 6
So, shaded fraction:
[tex]\displaystyle = \frac{6}{20}[/tex]
Multiply numerator and denominator by 5
[tex]\displaystyle = \frac{6 \times 5}{20 \times 5} \\\\= \frac{30}{100} \\\\Percent \ means \ 'out \ of \ 100'\\\\= 30 \%\\\\\rule[225]{225}{2}[/tex]
Answer:
30 %
Step-by-step explanation:
6/ 20× 100 %
=30%
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A car rental company rents its cars for $50 per day. Which graph shows the relationship between the number of days a car is rented and the total cost of the rental?
Answer:
Step-by-step explanation:
Select the correct answer.The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?A. B. C. D.find the volume of the figure
Answer:
64 in.3
Step-by-step explanation:
To find this answer, you must take the figure and divide it into two rectangular prisms and then use this formula to find the volume of both rectangular prisms; (L x H x W= Volume)
Finally, add up both volumes to get your final answer.
Find the inverse function of f(x) = x^3/2
Answer:
The answer is f^-1(x)=0^3[tex]\sqrt{x}[/tex]+2
Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation
10 points, please help
Answer:
88.5
Step-by-step explanation:
(90+82+81+2x)/5=86
90+82+81+2x=430
2x=177
x=88.5
What is 7/8 expressed as a percent? Enter your answer as a decimal.
Answer:
87.5% because calculator
Step-by-step explanation:
;)
Answer:
The Answer Is: D..! ) 0.875
Step-by-step explanation:
I Hope This Helped! Have a Great Day!
A raised flower bed is 25 feet long, 8 feet wide, and 1.5 feet deep. Find the area of the bed and the volume
of soil it holds. Show clearly your use of units for the calculation.
Answer:
The surface area of the raised flower bed is 499 feet. The volume of the solid it holds is 300.
Hope it helps!!!brainliest pls!!! I need help asap The average length of a female dolphin is about 181 inches (in).
What is this length in feet (ft) and inches (in)?
The length is ft in.
Answer:
the length of the female dolphin would be 9 ft 3 in
Answer:
15 ft and 6 inches
Step-by-step explanation:
Every foot is 12 inches, and 12 times 15 gets you the closest to 181 without going over 181. 12 times 15 is 180 so all you need is one inch to get to 181.
write whether each number is an expression or an equation 9+b
Answer:
9 + b is an expression
Step-by-step explanation:
Expressions don't have the = sign in them but equations do.
I have a math problem that i need help with.
Answer:
Total cost = $1,481.9
Solving steps:
Step 1: And all the total requirements for each person
=> $52.95 + $18.95 + $33.95
Add all the values
=> $105.85
Step 2: Multiply it by 14
=> 105.85 × 14
multiply 105.85 by 14
=> $1,481.9
why is the answer to this question?
Answer:
what question ⁉️
Step-by-step explanation:
bye IG
bye have a great day
Hello can someone please answer this question i will mark you the Brainliest
Answer:
1350 cm^2
A=6a^2= 6 x 15^2 = 1350^2
Answer:
B. 1350 cm^2
Step-by-step explanation:
Hello!
To start, let's understand what surface area is. The surface area is all the space on the outside of the shape.
In this case, we see that the entirety of the outside of the shape is made up of 6 different faces.
We know that this is a cube, so all the measurements of length and width are the same. We are given 15 for one of those, so we know that length and width are all 15.
Because we already determined that the surface area is all the face areas added up, we can now follow that pathway.
We know that there are 6 faces that are equal in the area (due to it being a cube). We also know that the width is the same as the length. That means the area of one face in the cube would be 225 cm^2. Since there are 6 of those faces, we multiply that by 6. 22*6 = 1350 cm^2
That's your answer.
Let me know if you have any questions.
70 is 140% of what number?
Answer:
98
Multiplying both sides by 100 and dividing both sides by 140
Given that NQ||PR find NP
Answer:
NP = 1.25
Step-by-step explanation:
ΔQMN similar to ΔRMP
[tex]\frac{QM}{RM}=\frac{MN}{MP}[/tex]
[tex]\frac{8}{10}=\frac{5}{MP}[/tex]
[tex]MP=\frac{5*10}{8} =6.25[/tex]
[tex]MP = MN + PN\\6.25 = 5 + PN\\PN = 6.25-5 =1.25[/tex]
The question is in the picture please help me
Hi please help me really need it!
Answer:
C
Step-by-step explanation:
To Solve, just cube the terms on the right side to see if they go back to the number on the left.
The first part is true because multiplying 11 * 11 * 11 = 1331.
The second part is true because multiplying 5 * 5* 5 = 125.
The third part is false because multiplying 8 * 8 * 8 = 512.
The fourth part is true because multiplying 1 * 1* 1 = 1.
What was the percentage increase in average miles flown per passenger from 1966 to 1976? %
14
17
20
The percentage increase in average miles flown per passenger from 1966 to 1976 is 16.9%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
In 1966, the average miles flown per passenger was 711 while in 1976, the average miles flown per passenger was 831. Hence:
Percentage increase = [(831 - 711) / 711] * 100% = 16.9%
The percentage increase in average miles flown per passenger from 1966 to 1976 is 16.9%.
Find out more on equation at: https://brainly.com/question/2972832
Answer:
23.6%
I got it wrong by using the answer above, so I'm 100% positive that this is the right answer cause it was from the answer key.
Gabriel invested $77,000in an account paying an interest rate of
3 1/2
% compounded continuously. Isabella invested $77,000in an account paying an interest rate of
4 1/8
% compounded quarterly . After 6 years, how much more money would Isabella have in her account than Gabriel, to the nearest dollar?
Answer:
3592
Step-by-step explanation:
interest
Step-by-step explanation:
I dont no because I cannot try 2 counting like that money
Multiply (2x + 4) (5x + 2)
The answer is:
10x² + 24x + 8We have to multiply 2x by both 5x and 2:
2x · 5x = 10x²
2x · 2 = 4x
Then we have to multiply 4 by both 5x and 2:
4 · 5x = 20x
4 · 2 = 8
We now have four terms:
10x² + 4x + 20x + 8
Add like terms:
4x + 20x = 24x
Final Answer:
10x² + 24x + 8
Will mark as brainliest!!!!
Simplify the following ratio:
60kg to 72kg
A. 120kg to 144kg
B. 30kg to 36kg
C. 6kg to 7kg
D. 15kg to 18kg
E. 5kg to 6kg
Answer:
C. 6kg to 7kg(is the old one)
Solving steps:
Answer:
60 : 72 = 5 : 6
Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 60 and 72 is 12
Divide both terms by the GCF, 12:
60 ÷ 12 = 5
72 ÷ 12 = 6
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 120 and 144 is 24
Divide both terms by the GCF, 24:
120 ÷ 24 = 5
144 ÷ 24 = 6
The ratio 120 : 144 can be reduced to lowest terms by dividing both terms by the GCF = 24 :
120 : 144 = 5 : 6
Therefore:
120 : 144 = 5 : 6
A) The ratio 60 : 72 can be reduced to lowest terms by dividing both terms by the GCF = 12 :
60 : 72 = 5 : 6
Therefore:
60 : 72 = 5 : 6
Answer:
30 : 36 = 5 : 6
b) Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 30 and 36 is 6
Divide both terms by the GCF, 6:
30 ÷ 6 = 5
36 ÷ 6 = 6
The ratio 30 : 36 can be reduced to lowest terms by dividing both terms by the GCF = 6 :
30 : 36 = 5 : 6
Therefore:
30 : 36 = 5 : 6
Answer:
6 : 7 = 6 : 7
c) Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 6 and 7 is 1
Divide both terms by the GCF, 1:
6 ÷ 1 = 6
7 ÷ 1 = 7
The ratio 6 : 7 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
6 : 7 = 6 : 7
Answer:
15 : 18 = 5 : 6
d) Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 15 and 18 is 3
Divide both terms by the GCF, 3:
15 ÷ 3 = 5
18 ÷ 3 = 6
The ratio 15 : 18 can be reduced to lowest terms by dividing both terms by the GCF = 3 :
15 : 18 = 5 : 6
Therefore:
15 : 18 = 5 : 6
Answer:
5 : 6 = 5 : 6
e) Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 5 and 6 is 1
Divide both terms by the GCF, 1:
5 ÷ 1 = 5
6 ÷ 1 = 6
The ratio 5 : 6 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
5 : 6 = 5 : 6
QUICK QUESTION PLEASE PLEASE HELP
can u simplify ratio 20 : 4 : 1
Answer:
No
Step-by-step explanation:
20 : 4 : 1
It is already simplified to the maximum.
A plot consists of a rectangular garden measuring 8 m by 10 m, surrounded by a
path of constant width, as shown in the diagram.
The total area of the plot (garden and path) is 143 m2.
Find the width of the path. Use x to represent the width of the path.
Karl says 1×2=3 Andrea says 1×2=2.Who is correct?
Answer:
Andrea is correct.
Step-by-step explanation:
When multiplying you are looking for the product, or how many times a number repeats itself.
Answer:
Andrea is correct because 1 times 2 equals 2 and 1 times 3 equals 3
HELP PLS !!!!
A square with side of k cm has perimeter of 36 cm. find the value of k.
here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct
Answer:
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10