Distance hiked by Sara last week = 8 miles
Distance hiked by Sara on Monday this week = 3 miles
<span>Distance hiked by Sara on Tuesday this week = 4 miles
</span><span>Distance hiked by Sara on Thursday this week = 3 miles
</span>So
Total distance hiked by Sara this week = (3 + 4 + 3) miles
= 10 miles
The number of more miles hiked by Sara this week = (10 - 8) miles
= 2 miles
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
Answer: First option
12 candy bars were sold
Step-by-step explanation:
Call x the amount of candy sold and call z the amount of cookies sold. Then we know that
We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76
So:
To find the quantity of candy bars sold we must solve the system of equations:
Multiply the first equation by -5 and add it to the second equation
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