Answer: k=1
Step-by-step explanation:
4k-3=-2k+3
take -3 and 3 and add them up on one side and change the sign
4k=-2k+3
+3
4k=-2k+6
take the -2k and change the sign and add to 4k
4k=6
2k
6k=6
now divide both sides with x
6k/6= 6/6
k= 1
In this month spider ate 10 bugs.
Step-by-step explanation:
Given,
The spider ate 25% more bugs than last month.
It ate 8 bugs in last month.
To find the number of bugs it ate this month.
<u>Solution</u>
It ate more bugs = 8×25%
=8×
= 2
In this month it ate = 8+2 = 10 bugs.
<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.
</h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.
</h2><h2>I am going to use the standard model for population growth:
</h2><h2>
</h2><h2>Where:
</h2><h2>= time (in years)
</h2><h2>= growth rate
</h2><h2>= initial population </h2><h2>= population after a time </h2><h2>
</h2><h2>Now, I'm going to replace the values in the equation to get :
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>
PERFECT application of the general equation of things
that are moving up and down in gravity:
H(t) = H₀ + v₀t + 1/2 g t²
t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity
I'm going to call 'UP' = the positive direction .
So ...
H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²
When the object hits the ground, H(t) = 0 .
So you have ...
0 = 40 + 54 t - 16 t²
Let me re-write that for you, to make it a
little easier and more familiar:
- 16 t² + 54 t + 40 = 0
Divide each side by -2 : 8 t² - 27 t - 20 = 0
Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.
The positive one is the one you want.
The negative one refers to time before the toss, and may be discarded.
