Answer:
9
Step-by-step explanation:
cross multiply 7/63 by 1/x
so, multiply 7 by x and 63 by 1
you get 63=7x
divide by 7 on both sides and you get 9
Answer:
4/25 en forma de fracción
Step-by-step explanation:
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
Answer:
![d_{AB}\ne d_{JK}](https://tex.z-dn.net/?f=d_%7BAB%7D%5Cne%20d_%7BJK%7D)
![d_{AB}\ne \:d_{GH}](https://tex.z-dn.net/?f=d_%7BAB%7D%5Cne%20%5C%3Ad_%7BGH%7D)
![d_{GH}\ne \:d_{JK}](https://tex.z-dn.net/?f=d_%7BGH%7D%5Cne%20%5C%3Ad_%7BJK%7D)
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
Finding the length of AB using the formula
![d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}](https://tex.z-dn.net/?f=d_%7BAB%7D%5C%3A%3D%5C%3A%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D)
![=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cleft%282-%5Cleft%28-4%5Cright%29%5Cright%29%5E2%2B%5Cleft%285-4%5Cright%29%5E2%7D)
![=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cleft%282%2B4%5Cright%29%5E2%2B%5Cleft%285-4%5Cright%29%5E2%7D)
![=\sqrt{6^2+1}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B6%5E2%2B1%7D)
![=\sqrt{36+1}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B36%2B1%7D)
![=\sqrt{37}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B37%7D)
![d_{AB}\:=\sqrt{37}](https://tex.z-dn.net/?f=d_%7BAB%7D%5C%3A%3D%5Csqrt%7B37%7D)
units
Given the vertices of the segment JK
From the graph, it is clear that the length of JK = 5 units
so
units
Given the vertices of the segment GH
Finding the length of GH using the formula
![d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}](https://tex.z-dn.net/?f=d_%7BGH%7D%5C%3A%3D%5C%3A%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D)
![=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cleft%28-2-%5Cleft%28-5%5Cright%29%5Cright%29%5E2%2B%5Cleft%28-2-%5Cleft%28-2%5Cright%29%5Cright%29%5E2%7D)
![=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cleft%285-2%5Cright%29%5E2%2B%5Cleft%282-2%5Cright%29%5E2%7D)
![=\sqrt{3^2+0}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%5E2%2B0%7D)
![=\sqrt{3^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%5E2%7D)
![\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%5C%3A%7D%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200)
units
Thus, from the calculations, it is clear that:
Thus,
![d_{AB}\ne d_{JK}](https://tex.z-dn.net/?f=d_%7BAB%7D%5Cne%20d_%7BJK%7D)
![d_{AB}\ne \:d_{GH}](https://tex.z-dn.net/?f=d_%7BAB%7D%5Cne%20%5C%3Ad_%7BGH%7D)
![d_{GH}\ne \:d_{JK}](https://tex.z-dn.net/?f=d_%7BGH%7D%5Cne%20%5C%3Ad_%7BJK%7D)
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Answer:
View Image
x = π/6, 5π/6, 7π/6, 11π/6
Step-by-step explanation:
The only things you need to know are 2 things:
1.)
, the exponent of trig functions are written in the middle
2.)
, csc() is just the inverse of sin()