Answer: Choice B.
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Explanation:
We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points
m = (y2-y1)/(x2-x1)
m = (0-1)/(3-0)
m = -1/3, negative slope means the line goes downhill as we move from left to right.
The y intercept is b = 1 as this is where the boundary crosses through the y axis
y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.
The equation of the boundary line is y = (-1/3)x+1
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The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.
Change the equal sign to a less than or equal to sign to get the final answer of which is choice B.
Answer:
Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour Option (B)
Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour
The 291 smallest tile or 177 largest tile.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However
Given:
Area of floor = 320 feet²
Area of smallest tile= 1.1 square feet
Area of smallest tile = 1.815 square feet.
Number of smallest tile = 320/1.1 ≈ 291 tiles
Number of large tiles = 320/1.815 ≈ 177 tiles
Hence, the 291 smallest tile or 177 largest tile.
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Answer:
Interest rate is 1.728%
Step-by-step explanation:
Here, we are interested in calculating the monthly interest rate on an account.
Mathematically;
The compound interest formula amount is given as;
A = P( 1 + r/n)^nt
where A is the amount at the end of the compounding = $2,134.96
P is the principal which is the amount deposited = $1,327.35
r is the rate which we want to calculate
n is the number of times per year it is compounded = (2 * 12) = 24 ( twice monthly)
t is the number of years = 12
2,134.96 = 1327.35( 1 + r/24)^(24 * 12)
divide both sides by 1327.35
1.608 = (1 + r/24)^288
Take the ln of both sides
ln 1.608 = ln ( 1 + r/24)^288
ln 1.608 = 288 ln (1 + r/24)
0.21 = 288 ln ( 1 + r/24)
Divide both sides by 288
0.00072 = ln (1 + r/24)
1.000716527571 = 1 + r/24
r/24 = 0.00072
r = 24 * 0.00072
r = 0.01728
which is same as 1.728%
B. 1/4
C. 1/8
D. 1/16
E. 1/32
Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).
Probability helps us to know the chances of an event occurring.
The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,
Hence, the probability that all four pennies will be tails is (1/16).
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Answer:
1/16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using logarithmic rule:
Given the equation:
Taking log with base 5 both sides we have;
Apply the logarithmic rule:
or
Therefore, as a logarithmic equation is,