We are given the equation <span>3^x = 2x + 1 in which x as the number of days of the population of flies and the number of flies consumed by iguana each week. In this case, the other equation described when x =7 population is not more than 8. The graph is a logarithmic graph</span>
If Deliah does jumping jacks at a constant rate, this means that she does them at the same pace or you could say that she does the same amount of jumping jacks in a specified amount of time, ie. if you counted how many jumping jacks she did in one minute, it would be same as how many she would complete in the next minute, and the next, and so on.
Now given that she does 184 jumping jacks in four minutes, and she has kept a constant pace throughout, to find out how many she does each minute, we simply need to divide the number of jumping jacks she does in 4 minutes by 4. Thus:
Jumping jacks in 1 minute = Jumping jacks in 4 minutes / 4
= 184 / 4
= 46
Thus, Deliah can do 46 jumping jacks per minute.
The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
<h3>What is the volume?</h3>
The formula for volume of a cube is given as;
Volume = a³
Where:
a = length of its side
From the information given, we have;
V = s³
Where s = 15 centimeters
Substitute the value into the formula
v = (15)³
v = 3375 centimeters
Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
Learn more about a cube here:
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Answer:
x=2, y=13
Step-by-step explanation:
In order to get this by addition which is the easiest way for this you want to take both equations
y=3x+7 and y=-4x+21 and move x to the other side of the equation so it is like 4x+y=21 and -3x+y=7 like that now you have to get rid of one of the exponents and the easiest one to get rid of is y so I'm going to multiply -3x+y=7 by negative 1 so it becomes 3x-y=-7 that way the equations value has not changed since I multiplied both sides and now when I add
4x+y=21 and 3x-y=-7 It'll look like
4x+y=21
3x-y=-7 add those It will get rid of the y
then get 7x=14 simplify to get x=2 then you can take -3x+y=7 plug in x and get
-3(2)+y=7 multiply into -6+y=7 then simplify you get y=13
Answer:
22.5 in^2
Step-by-step explanation:
h = 3 in
base 1 = 6 in
base 2 = 9 in
So plug in
A = 1/2 (3) (6 + 9)
A = 3/2 (15)
A = 22.5 in^2
