Answer:
1
--------- = x
1000
Step-by-step explanation:
Copy down y = 10x.
Then substitute 1/100 for y:
1
-------- = 10x
100
Divide both sides by 10 to isolate (solve for) x:
1
--------- = x
1000
Answer:
The simplification of the given expression (r3s2t)4 is:
r¹²s⁸t⁴
Step-by-step explanation:
Given expression:
(r³s²t)⁴
power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:
= (r³)⁴(s²)⁴(t1)⁴
= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴
= r¹²s⁸t⁴
Answer:
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
Answer:
$50 is the value of interest earned in the first installment on a single bond
Step-by-step explanation:
Applying Interest earned in the first installment on a single bond ;
= PRT/100
P = $1.000
R = 5%
T = 1
Plugging the values in the equation ;
Interest = 1000 x 5 x 1 /100
= $50, hence option A is the correct one.
Answer:
Therefore the ball strikes the ground 5.98 s after kick.
Step-by-step explanation:
Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation 
where h is height in feet and t is time in second.
When the ball touches the ground then the height will be zero.
i.e h(t)=0
Therefore
Since -2≠0 then 
[The solution of a quadratic equation ax²+bx+c=0 is
here a=8, b=-32 and c=-95]
![\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}](https://tex.z-dn.net/?f=%5CRightarrow%20t%20%3D%5Cfrac%7B-%28-32%29%5Cpm%5Csqrt%7B%28-32%29%5E2-%5B4%5Ctimes8%5Ctimes%28-95%29%5D%7D%20%7D%7B2%5Ctimes8%7D)
Therefore t= 5.98 or -1.98
since time can not be negative So , t=5.98 s
Therefore the ball strikes the ground 5.98 s after kick.
