Together it would take 3 hours.
Team A can wrap all gifts in 7 hours; thus they can wrap 1/7 of the gifts in 1 hour.
Team B can wrap all gifts in 5 hours; thus they can wrap 1/5 of the gifts in 1 hour.
1/7h + 1/5h = 1, where h is the number of hours; it equals 1 because it is 100% of the gifts;
Find a common denominator. 35 is the first thing 7 and 5 will both divide into. Convert the fractions:
5/35h + 7/35h = 1
12/35h = 1
Divide both sides by 12/35:
12/35h ÷ 12/35 = 1 ÷ 12/35
h = 1/1 ÷ 12/35
h = 1/1 × 35/12
h = 35/12
h = 2.9
h ≈ 3
1). c
2). a
3). a **
4). d
5). a
6). c
** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet. The first number of the sequence should be 10,000 instead of 1000 .
The exponential function which represented by the values in the table is
⇒ 3rd answer
Step-by-step explanation:
The form of the exponential function is
, where
- a is the initial value (when x = 0)
- b is the growth/decay factor
- If k > 1, then it is a growth factor
- If 0 < k < 1, then it is a decay factor
The table:
→ x : f(x)
→ -2 : 16
→ -1 : 8
→ 0 : 4
→ 1 : 2
→ 2 : 1
∵ 
- To find the exponential function substitute the value of x and f(x)
by some values from the table to find a and b, at first use the
point (0 , 4) to find the value of a
∵ x = 0 and f(x) = 4
∴ 
- Remember that any number to the power of zero equal 1
except the zero
∵ 
∴ 4 = a(1)
∴ a = 4
Substitute the value of a in the equation
∴ 
- Chose any other point fro the table to find b, lets take (1 , 2)
∵ x = 1 and f(x) = 2
∴ 
∴ 2 = 4 b
- Divide both sides by 4
∴ 
- Substitute the value of b in the equation
∴ 
The exponential function which represented by the values in the table is 
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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Answer:
19.2
Step-by-step explanation:
Add 12 squared to 15 squared(144+225)
Square root the answer(
)
Round to the nearest tenth(19.209)
Answer:
150%
Step-by-step explanation:
25-10= 15
15/10 = 1.5
1.5 = 150%