Answer:
3.16227766017
Step-by-step explanation:
The answer is 3!!
This is because if you divide 3 by 3/5, you get 5.
Hope this helps!!
Answer:
Greatest integral value of K = 3.
Step-by-step explanation:
The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.
2x^2 - kx + 9 = 0
The discriminant = (-k)^2 - 4*2*2 , so:
k^2 - 16 < 0 for non-real roots.
k^2 < 16
k < √16
k < 4
So the answer is 3.
The greatest integral value is 8.
First, you need to write to expressions to model each situation:
Plan A: 10+0.15x
Plan B: 30+0.1x
Next, set the expressions equal to each other and solve for x:
10+0.15x=30+0.1x
<em>*Subtract 0.1x from both sides to isolate the variable*</em>
10+0.05x=30
<em>*Subtract 10 from both sides*</em>
0.05x=20
<em>*Divide both sides by 0.05*</em>
x=400
The plans would have the same cost after 400 minutes of calls.
To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:
10+0.15(400)
10+60
70
The plans will cost $70.
Hope this helps!
Answer:
It takes 147 hours for the snow to reach 62 inches.
Step-by-step explanation:
Given:
Height of the snow at the beginning = 84 inches
Rate at which the snow melts = f 0.15 inches per hour
To Find:
The time taken for the snow to reach 62 inches = ?
Solution:
Let the time taken to reach 62 inches be x
Then according to the question,
Total height of the snow - (rate of melting)(x) = 62 inches
On substituting the values,
84 - (0.15)(x) = 62
84 - 0.15x = 62
- 0.15x = 62 - 84
- 0.15x = -22
0.15x = 22
x = \frac{22}{0.15}
x= 146.6
x = 147
