Hannah factored the expression 24xy + 15y. Her work is shown below. 1. GCF (24xy, 15y) = 3y 2. 24xy/3 = 8xy, 15y/3 = 5y 3. 3(24x
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799 represents the initial value of the painting
The painting will be worth $926 after 5 years to the nearest dollar
Step-by-step explanation:
The form of the exponential function is , where
- a is the initial value ⇒ (at x = 0)
- b is the growth/decay factor ⇒ (rate of change)
- If b > 1, then the function is growth ⇒ (increasing)
- If 0 < b < 1, then the function is decay ⇒ (decreasing)
The value of a rare painting has increased each year since it was
found at a garage sale
The value of the painting is modeled by the function
We need to know what 799 represents and what the painting will
be worth after 5 years
∵
∵ The form of the function is
- By comparing the two forms
∴ a = 799 and b = 1.03
∵ a is the initial value at x = 0
∴ 799 represents the initial value of the painting
∵ x represents the number of years
∴ x = 5
- Substitute the value of x in the function by 5
∵
∴ f(x) = 926.26
∴ The painting will be worth $926 after 5 years to the nearest dollar
799 represents the initial value of the painting
The painting will be worth $926 after 5 years to the nearest dollar
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You can learn more about the functions in brainly.com/question/10382470
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Answer:
measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Step-by-step explanation:
Given:
Mass of Sodium citrate = 5 g
Mass of Tartar Emetic = 0.015 g = 15 mg
Volume of Cherry syrup ad 120 mL = 120 mL
sensitivity = 4 mg
Error = 5%
Now,
The smallest weight that can be measured =
or
The smallest weight that can be measured = = 80 mg
Now,
80 mg is dissolved in 120 mL of Cherry syrup according to prescription
( Thus,
1 mg is dissolved in of Cherry syrup according to prescription )
so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup
=
= 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained