Answer:
2:14, 1:7, 3:21, and 18:126
Step-by-step explanation:
They are all multiplying by 7.
2*7= 14
1*7= 7
3*7= 21
18*7= 126
Hope this helps! :)
Answer:Let the amount invested in each be
A and B
A+B=5000
0.1A+0.15B=630
0.1(5000-B)+0.15B=630
500-0.1B+0.15B=630
0.05B=130
B=2600
A=2400
Step-by-step explanation:
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Length of ice cream cone = 6 inch
Diameter of cone = 2 inches
Radius of cone is given by

But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.
Since it was cut so close to the base.
So, Height of the cylinder = 0.25 inches
As we know the formula for "Volume of cylinder ":

Hence, Option 'C' is correct.
Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m =
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Answer:
-3+2sqrt7
-3-2sqrt7
Step-by-step explanation:
x^2+6x-9=10
x^2+6x-9-10=0
x^2+6x-19=0
ax^2+bx+c=0
a=1 b=6 c=-19
As cannot be solved by completing square we will use quadratic equation
x= (-b+sqrt(b^2-4ac))/2a and x= (-b-sqrt(b^2-4ac))/2a
x= (-6+sqrt(6^2-4*-19))/2 and x= (-6-sqrt(6^2-4*-19))/2
x=(-6+sqrt(36+76))/2 and x=(-6-sqrt(36+76))/2
x=(-6+4sqrt7)/2 and x=(-6-4sqrt7)/2
x=(-3+2sqrt7) and x=(-3-2sqrt7)
x=2.29 and x= -8.29