Answer:
Given that,
The number of grams A of a certain radioactive substance present at time, in years
from the present, t is given by the formula
a) To find the initial amount of this substance
At t=0, we get
We know that e^0=1 ( anything to the power zero is 1)
we get,
The initial amount of the substance is 45 grams
b)To find thehalf-life of this substance
To find t when the substance becames half the amount.
A=45/2
Substitute this we get,
Taking natural logarithm on both sides we get,
Half-life of this substance is 154.02
c) To find the amount of substance will be present around in 2500 years
Put t=2500
we get,
The amount of substance will be present around in 2500 years is 0.000585 grams
Let's write out the problem with the triangles as "x" and the ovals as a number. Since there are 3 triangles and 5 boxes in the first box, the first box would be:
3x+5
In the other box, there are 11 ovals, so:
11
With this, they are equal, so:
3x+5=11
To solve this, move the 5 over onto the other side by subtracting 5 from each side:
3x+5<em>-5</em><em> </em>= 11<em>-5</em>
Then you have:
3x = 6
Now, divide doth sides by 3 to isolate x:
3x/3= 6/3
Now you're done!
<u><em>x=2</em></u>
Hope that helps.
Answer:
Step-by-step explanation:
Hi there!
We are given the following equation:
x+6y=-6
And we want to convert it into slope-intercept form
Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept
The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients
Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side
So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y
Here is our equation again:
x+6y=-6
Start by subtracting x from both sides
x+6y=-6
-x -x
_______________
6y=-x-6
Now divide both sides by 6
We can simplify the fractions to become:
Hope this helps!
See more on converting from standard to slope-intercept form here: brainly.com/question/26579052
We will define the following variables to solve the problem:
s: normal speed
t: normal time
We write the following system of equations:
6 = s * t
6 = (s + 3) * (t-7)
Rewriting the equation two we have:
6 = s * t -7s + 3t -21
Substituting:
s = 6 / t
6 = (6 / t) * t -7 (6 / t) + 3t -21
Multiplying both sides by t:
6t = 6t - 42 + 3t ^ 2 - 21t
Rewriting:
3t ^ 2 - 21t - 42 = 0
We take the positive root:
t = 7/2 + root (105) / 2
t = 8.62 h
We look for the value of the speed:
s = 6 / t
s = 6 / 8.62
s = 0.696 km / h
Answer:
she did travel 0.696 kilometers per hour
Answer:
types of reading instruction - independent variable
reading comprehension of students - dependent variable
Explanation:
When it comes to the "experimentation" of a study, there are factors or variables that are being considered. These are <em>"independent variable</em>" and <em>"dependent variable."</em>
Independent variable refers to the variable that is being controlled. This affects the dependent variable. The influence of the independent variable on the dependent variable is <u>very important.</u>
So, in the situation above, the independent variable is the "types of reading instruction for a school year" while the dependent variable is the "reading comprehension" of the students.
<em>This means that the reading comprehension of the students will largely depend on the types of reading material.</em>
Thus, this explains the answer.