On the right side we have st which is the same as s*t or s times t
We want to undo the multiplication that is happening to s, so we have to divide both sides by t
d = s*t
d/t = s*t/t ..... divide both sides by t
d/t = s
s = d/t
Answer: Choice A)
a) To create an equation
X+X =7
so what's X over here is
7² = x²
X=3.5
b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.
Explaining the equation:
√5 +√6 = √11
5 +6 = 11
√11 =11
√= 11 ÷ 11
√= 1
So if root is 1 then -1 is -√
this is the answer propably
Question:
A camel can drink 25 gallons of water in 10 minutes. How many cups of water can the camel drink in 10 minutes?
Solution:
A)
1 cup = 0.25 quarts.
4 quarts= 1 gallon
Then, according to this information, we get the following table:
B)
Note that 4 quarts= 1 gallon, then 1 gallon is equivalent to 16 cups.
C)
Then, 25 gallons are equivalent to:
D. According to the above information, we obtain that 25 gallons of water are 400 cups .
So that, we can conclude that the correct answer is:
The camel can drink 400 cups of water in 10 minutes
Answer:
The amplitude of the oscillation in this oscillating system, after reaching the steady-state, is 3.984.
Step-by-step explanation:
Assume you know a and b values, which you do not actually need to know to solve the question.
The given general solution of the equation is made up of three terms, namely:
- A constant value (equal to 4),
- a cosine term: 3.984cos(2nt-B)
- a cosine, exponential term: 2.81exp(-8.58t)cos(at + o)
This means that, after a certain time (for large values of time "t"), when the system reaches its <u>steady-state</u>, the following will happen to these parts, respectively:
- The constant value will remain as 4. It shall not cancel, but it shall not provide any oscillation either, and, in turn, no amplitude nor frequency.
- The second term will always be a cosine, since it is a periodic function. Its amplitud is "3.984" and its frequency is "2n" radians/second. Its phase is actually "B".
- This third term is not a periodic functon. It is made up of a periodic function multiplied by an exponential function, whose exponent is negative (for any positive value of time variable "t"). This exponential function approaches to zero when its exponent approaches to minus infinity. So, after a certain time -or, in other words, once the steady-state is eventually reached- the product will be a delimited function (cosine, whose absolute value is always than "1") multiplied by zero. That is, this third term, as a whole, approaches to zero for large, infinite values of time "t".
All in all, once the steady-state is reached, the solution shall remain as:
x = 4+ 3.984cos(2nt-B).
The only oscillation would be that of the cosine term, and its amplitude will be 3.984, an actual value given by the question itself.
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
