Answer:
110 liters of water
Step-by-step explanation:
Let
x ----> liters of water
f(x) ----> the percent of the sat in the new mixture
we have
For
substitute in the equation
solve for x
What is the expected price of a calculator in the year 2000 if it costs $19.12 in 2015? You can use the chart below for a refere
1 answer:
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Answer:
a)
b)
c) where
= number ties finished per unit time
d) t≅8.24min
e) K=109tie
J=91tie
f) K≅16.6min
J≅9.09min
Step-by-step explanation:
Data
Kara begins ten minutes before julie, so when julie joins kara she has 60 ties
t=10
a)
b)
c) where
= number ties finished per unit time
d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?. ≅8.24min
e) K=60tie+6tie/min*8.24min=109tie
J=11tie/min*8.24min=91tie
f) K=100tie*min/6tie≅16.6min
J=100tie*min/11tie≅9.09min
Note: the amount of ties were rounded to the nearest decimal
Answer:
- First option of the figure:
Explanation:
Assume that the complete question includes the following description of how the pennies are placed on the chessboard:
"If a chessboard (8×8) were to have pennies placed on each square such that 1 penny was placed on the first square, 2 on the second, 4 on the third, and so on (doubling the number of pennies on each subsequent square), how many pennies would be on the chessboard when finished?"
From that you can write the first terms of the sequence that represent such description
Square number of pennies power form
1 1 1 × 2⁰
2 2 1 × 2¹
3 4 1 × 2²
4 8 1 × 2³
5 16 1 × 2⁴
n 1 × 2ⁿ⁻¹
64 1 × 2⁶³
Hence, you to have the total number of pennies you have to sum the number of pennies on every square of the chessboard, which will lead to :
1 × 2⁰ + 1 × 2¹ + 1 × 2² + 1 × 2³ + 1 × 2⁴ + ... 1 × 2ⁿ⁻¹ up to n = 64 or n - 1 = 63.
That is the sum from n = 1 to 64 - 1 of 1 × 2ⁿ⁻¹, which using summation form is the first option on the picture.