Answer: =10x+8y−12
Step-by-step explanation:
Let's simplify step-by-step.
−6x−12+8y+16x
=−6x+−12+8y+16x
Combine Like Terms:
=−6x+−12+8y+16x
=(−6x+16x)+(8y)+(−12)
=10x+8y+−12
Answer:
=10x+8y−12
Answer:
Finding Volume of Prisms Using Unit Cubes
These cubes make up a rectangular prism. The cubes represent the volume of the prism. This prism is five cubes by two cubes by one cube. In other words, it is five cubes long, by two cubes high by one cube wide.
Step-by-step explanation:
hope this helps
Answer:
0.31311311131111....
Step-by-step explanation:
We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,
<u>Rational</u><u> number</u><u> </u><u>:</u><u>-</u> The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .
<u>Irrational</u><u> number</u><u> </u><u>:</u><u>-</u> Non terminating and non repeating decimals are called irrational number .
Recall the property that :-
<u>Property</u><u> </u><u>:</u><u>-</u><u> </u> Sum of a Rational Number and a Irrational number is Irrational .
So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,
So when we add this to 0.4 , the result will be Irrational . That is ,
Using the Laplace transform, the value o y' − 2y = (t − 4), y(0) = 0 is⇒y(t) = 0 e^-t + u(t -1)e^1-t
Laplace rework is an critical rework approach that is in particular useful in fixing linear normal equations. It unearths very huge applications in regions of physics, electrical engineering, control optics, arithmetic and sign processing.
y' − 2y = (t − 4),
y(0) = 0
Taking the Laplace transformation of the differential equation
⇒sY(s) - y (0) + Y(s) = e-s
⇒(s + 1)Y(s) = (0+ e^-s)/s + 1
⇒y(t) = L^-1{0/s+1} + {e ^-s/s + 1}
⇒y(t) = 0 e^-t + u(t -1)e^1-t
The Laplace remodel method, the feature within the time area is transformed to a Laplace characteristic within the frequency domain. This Laplace feature will be inside the shape of an algebraic equation and it can be solved easily.
Learn more Laplace transformation here:-brainly.com/question/14487437
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Answer:
Ratio = 11:9
Boys = 440
Girls = 360
Explanation:
Given that, in a school,
Total number of students = 800
Also,
Percent of boys = 55%
Therefore, number of boys = 55% of 800
No. of boys = 55/100 x 800
No. of boys = 55 x 8 =
No. of boys = 440
Therefore, we will get,
No. of girls = (800-440)
No. of girls = 360
Therefore, we will get,
Ratio of boys to girls = 440/360
Ratio = (40*11)/(40x9)
Ratio = 11/9
Hence, the ratio of boys to girls is 11:9 and number of boys and girls is 440 and 360 respectively.
