Answer:
Tommy Thomas's tankard holds 160ml when it is one-quarter full.
Step-by-step explanation:
When Tommy's tankard holds 480ml when it's one-quarter empty. There are three other quarters in the tankard. So, you would divide 480 by 3 to see how much is in each of the other 3 quarters. The answer comes down to 160ml per quarter, which equals one-quarter full.
Answer:
4 gallons of paint
Step-by-step explanation:
We solve using the formula for surface area of rectangular prism.
A=2(wl+hl+hw)
Where:
w = Width
h = Height
l = Length
The pool is 4 feet deep, 18 feet long, and 12 feet wide.
Hence,
=2 × (12 × 18 + 4 × 18 + 4 ×12)
=672 square feet
One gallon of paint covers 155 square feet.
Hence,
155 square feet = 1 gallon of paint
672 square feet = x
Cross Multiply
155 square feet × x = 672 square feet × 1 gallon of paint
x = 672 square feet × 1 gallon of paint/ 155 square feet
x = 4.335483871 gallons of paint
Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint
Answer: 81 people
Step-by-step explanation:
Number of people that attended fair on Saturday = 6737
Number of people that got free admission = 6737/188 = 35.8.
Free admission on Saturday = 35
Number of people that attended fair on Saturday = 8669
Number of people that got free admission = 8669/188 = 46.1
Free admission on Sunday = 46
The people who received a free admission over the two days will be:
= 35 + 46
= 81 people
Answer:
a. Function 1
b. Function 3
c. Function 2, Function 3 and Function 4
Step-by-step explanation:
✔️Function 1:
y-intercept = -3 (the point where the line cuts across the y-axis)
Slope, using the two points (0, -3) and (1, 2):
Slope = 5
✔️Function 2:
y-intercept = -1 (the value of y when x = 0)
Slope, using the two points (0, -1) and (1, -4):
Slope = -3
✔️Function 3: y = 2x + 5
y-intercept (b) = 5
Slope (m) = 2
✔️Function 4:
y-intercept = 2
Slope = -1
Thus, the following conclusions can be made:
a. The function's graph that is steepest is the function whose absolute value of its slope is greater. Therefore Function 1 is the steepest with slope of 5
b. Function 3 has a y-intercept of 5, which is the farthest from 0.
c. Function 2, Function 3, and Function 4 all have y-intercept that is greater than -2.
-1, 5, and 2 are all greater than -2.
If
then
The ODE in terms of these series is
We can solve the recurrence exactly by substitution:
So the ODE has solution
which you may recognize as the power series of the exponential function. Then
