Answer:
Step-by-step explanation:
.
1) About how much medicine did he make in grams?
Dr. Mann mixed
9.357 g of chemical A,
12.082 g of chemical B,
7.502 g of chemical C
We can determine total amount of medicine that was prepared by Dr. Mann by summing up the chemicals (A,B,C)
=( 9.357grams of A + 12.082grams of B+ 7.502grams of C)
= 28.941 grams in total
The next step is to round up those chemicals value to their nearest tenth as asked by question
Dr. Mann mixed
9.357 g of chemical A= 9.4grams
12.082 g of chemical B,=12.1grams
7.502 g of chemical C =7.5grams
2)Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum.
Then the sum after rounding up to nearest tenth is
(9.4grams +12.1grams + 7.5grams)
=29 gram
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Answer:
66 inches
Step-by-step explanation:
:))
Answer:
CA ≈ 3.1 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = 
= 
= 
( multiply both sides by CA )
CA × tan40° = 2.6 ( divide both sides by tan40° )
CA = 
≈ 3.1 ft ( to the nearest tenth )
