Answer:
6.125
Step-by-step explanation:
49 divided by 8
49÷8=6.125
Answer:
The function f(x) is represented by:
Hence, a=1500 and b=0.97
Step-by-step explanation:
The patient currently has a bone density of 1,500 kg/mg^3.
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.
This means that the bone density that is remaining is:
100-3=97%
which is also represented as: 97%=97/100=0.97
Hence, the function f(x) that represents the bone density after x years is represented by:
where a is the initial bone density which is given to be: 1500 kg/mg^3.
Hence, the function is:
The number from standard form to decimal form is as follows:
2.077 × 10⁻⁴ = 0.0002077
<h3>How to express number in standard form?</h3>
Standard form is a convenient way of writing very large or very small numbers.
Standard form is a way of writing a number so it is easier to read.
Standard form is like scientific notation and is typically used in science.
Standard form is like scientific notation and it is represented in the format as follows:
a × 10ᵇ
Therefore, the number is already in standard form but we can convert it back to decimal form as follows:
2.077 × 10⁻⁴ = 2.077 × 1 / 10000 = 0.0002077
learn more on standard form here: brainly.com/question/17170676
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Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Answer:
A = (-2 , -1) A’ = (-5 , -1)
B = (2 , -1) B’ = (-1 , -1)
C = (2, 2) C’ = (-1 , 2)
Step-by-step explanation:
Move each coordinate to the left 3 times! You will result in the prime coordinates of the letters!
