Kate wants to buy a bike that costs $250. She has $40 saved. She will also do 5 days of yard work earning $38 for each day. Will
2 answers:
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Answer:
The number of bacteria in the dish after 9.9 minutes is 478
Step-by-step explanation:
The form of the function is , where a is the initial amount (value f(x) at x = 0)
To find a and b let us use two points from the graph and substitute their coordinates in the equation
∵ The graph passes through point (1 , 1)
∴ x = 1 and y = 1
- Substitute them in the equation
∵
∴ a.b = 1 ⇒ (1)
∵ The graph passes through point (1 , 1)
∴ x = 3 and y = 4
- Substitute them in the equation
∵
∴ a.b³ = 4 ⇒ (2)
Use equation (1) to find a in terms of b
∵ a.b = 1
- Divide both sides by b
∴ ⇒ (3)
- Substitute a in equation (2) by equation (3)
∴ . b³ = 4
- Remember the rule
∵ . b³ =
= b²
∴ b² = 4
- Take √ for both sides
∴ b = 2
Substitute the value of b in equation (3) to find a
∵ a =
∴ a = 0.5
∴
∵ f(x) represents the number of bacteria after x minutes
∵ x = 9.9 minutes
- Substitute x by 9.9 to find the number of bacteria
∵
∴ f(9.9) = 477.7128917
- Round it to the nearest whole number
∴ f(9.9) = 478
∴ The number of bacteria in the dish after 9.9 minutes is 478
Answer:
The area of the figure is 7.5 .
Step-by-step explanation:
In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3 . The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5