Answer:
e^12
Step-by-step explanation:
Write the problem as a mathematical expression.
e^3 ⋅ e^9
Use the power rule and combine the exponents.
e^3 + 9^e
Add 3 and 9.
e^12
The result can be shown in multiple forms.
Exact Form:
e^12
If not the answer
The Decimal Form:
162754.79141900…
Answer:
unit vector = -0.891i + 0.454j
Step-by-step explanation:
Given that;
magnitude of unit vector =
angle of 153° degrees from the x axis, with a positive y component
{ second quadrant }
so, x and y components of the vector are;
x component = 1 × cos(153°) = - 0.891
y component = 1 × sin(153°) = 0.454
⇒ -0.891i + 0.454j
Therefore, unit vector = -0.891i + 0.454j
Answer:
<em>Yes, the sum of a multiple of 3 and a multiple of 3 is closed under addition.</em>
Step-by-step explanation:
Let S = { 3n | n ∈ Z } be the set of multiples of 3.
So if x and y are two multiples of 3, then we can write that
x = 3n and y = 3m for some integers n and m in the set of integers i.e. Z.
To determine that the sum of 3n and 3m is closed under addition. As
x + y = 3n + 3m = 3(n + m) ∴ from the distributive property
As we can check that n + m is also an integer, as n + m ∈ Z
Also, x + y = 3 (n + m) is a multiple of 3.
<em>Therefor, the sum of a multiple of 3 and a multiple of 3 is closed under addition. </em>
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<em>Keywords: closure property under addition, multiple of 3</em>
<em>Learn more about closure property from brainly.com/question/2501010</em>
<em>#learnwithBrainly</em>
Answer: The approximate total volume of the silo is 116.5 m3
Step-by-step explanation:
Hi, the volume of the silo is equal to: volume of the cylinder + volume of the hemisphere:
Volume of the cylinder:
V = π x r²x h
Where:
R = radius (in this case, to obtain the radius we have to divide the diameter by two since radius = diameter /2)
h = height
Replacing with the values given:
V = π x r²x h = 3.14 x (4.4/2) ²6.2= 3.14 x (2.2)²x 6.2 = 94.22512 m3
And for the hemisphere:
Volume of the hemisphere: 2/3 x π x r3
Replacing with the values given;
v= 2/3 x 3.14 x 2.2∧3= 22.28m3
Finally, adding both results:
Volume of the silo = volume of the cylinder + volume of the hemisphere:
94.22 m3+ 22.28m3 = 116.5 m3
Answer:
2
Step-by-step explanation:
Cuz the form is Ax^2 + bx + c
A = 1 (imaginary)
B = 3
C = 2 (same as y-intercept)
