Answer:
A= 1,0 B=0, -3 C=-6, 5 D= -3, -5
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
Answer:
y = 4x+2
Step-by-step explanation:
slope intercept form is y = mx+b
so we need to solve for y
-4x+y =2
add 4x to each side
4x-4x+y =+4x+2
y = 4x+2
Answer:
Soft drink: $1.40
Hot dog: $1.75
Step-by-step explanation:
variables:
soft drink- d
hot dog- h
set up equation:
3d+2h=7.70
2d+1h=4.55
solve:
