Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
Answer:


Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:


Solving (a): Represent as a linear equation
First, we calculate the slope:

This gives:



The linear equation is then calculated using:

Where




Make F the subject


Solving (b): The value of F when C = 30
Substitute 30 for C in 



Answer:
(I assume you have to do this on some kind of online graphing program.)
Step-by-step explanation:
Plot a point at (0, -3) because that is the y-intercept. Plot the second point at (3, 1). Once you hit “done” your graph should look similar to the one I attached a picture of. *rotatre the picture so the grey is on the bottom*
Answer:
C) a = 10√3, b = 5√3, c = 15 , d = 5
Step-by-step explanation:
Here we use the ratio of 30, 60, 90 degree triangle.
The ratio of sides, 1:√3:2
2x = 10
x = 5
d = 5
b = 5√3
c = 5√3√3
c = 5*3 = 15
c = 15
a = 2(5√3)
a = 10√3
Therefore, a = 10√3, b = 5√3, c = 15 and d = 5
Thank you.
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:

where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.


b) for 7500 g to reach to 6900 g


It will take 6 years for 7500 grams of X to reach 6900 grams.