M= y2 - y1/ x2 - x1
m= 9-9/-2-2
m= 0/-4
m= 0
The slope is 0
Answer:
28, 30, 32
Step-by-step explanation:
Three consecutive even numbers are three even numbers that are next to each other. For example, 2, 4 and 6 would be 3 consecutive even numbers.
With this sort of problem, you want to try to let each number be equal to one thing and then construct the same number of equations as you have variables:
Let's let,
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X + Y + Z = 90
We also know, that
Y = X + 2
And that
Z = X + 4
Now, we can sub these equations into the first equation. We do this so that we have everything represented as the same variable.
90 = X + (X+2) + (X+4)
90 = 3X + 6
84 = 3X
28 = X
So, the numbers are 28, 30 and 32
Answer: We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are
Slope0.3848 ± 0.03956
Y-intercept0.6053 ± 0.6370
X-intercept-1.573
1/Slope2.598
Step-by-step explanation: Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
Hmm, one way is this
there's 500 times 0.10 or 50 grams of salt in the water
if we want to make 50 grams=4% of everything, how much water do we need to add
50=4% of all
50=0.04 of all
divide both sides by 0.04
1250=all
so
500+what=1250
minus 500 both sides
what=750
750 grams of water
