Answer:
X=-1/4
Step-by-step explanation:
<h2>8x=㏒₂/₅⁽²⁵/⁴⁾</h2>
Answer:
y = 3/2x + 6
Step-by-step explanation:
y = 3/2x - 4
y-intercept through point (-2, 3):
3 = 3/2(-2) + b
3 = -3 + b
b = 6
Equation of line:
y = mx + b
y = 3/2x + 6
**Parallel line share the same slope, in this case 3/2.
Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Which ones do you need help on?
