Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
![b_1(t)=1200(1.8)^t](https://tex.z-dn.net/?f=b_1%28t%29%3D1200%281.8%29%5Et)
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
![b_2(t)=1000(1.8)^t](https://tex.z-dn.net/?f=b_2%28t%29%3D1000%281.8%29%5Et)
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3)
as it is given in the question.
4)
is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:
![\bar{SH}\cong \bar{ST}\\\bar{SD}\perp \bar{HT}](https://tex.z-dn.net/?f=%5Cbar%7BSH%7D%5Ccong%20%5Cbar%7BST%7D%5C%5C%5Cbar%7BSD%7D%5Cperp%20%5Cbar%7BHT%7D)
In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore,
(By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is ![\bar{SD}\cong \bar{SD}](https://tex.z-dn.net/?f=%5Cbar%7BSD%7D%5Ccong%20%5Cbar%7BSD%7D)
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
60 Us/Uk dollars
The guy above me got it right
The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.
When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck