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quester [9]
3 years ago
6

Working alone, shayna can harvest a field in 8 hours. John can harvest the same field in 16 hours. How long would it take them i

f they worked together?
Mathematics
1 answer:
Alinara [238K]3 years ago
7 0
(1/8)x + (1/16)x = 1
(2/16)x + (1/16)x = 1
(3/16)x = 1
x = 16/3 = 5.33333 hrs
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Find the median of the following heights which are in inches. <br>62,72,83,61,60,70,67,68,68,68
krok68 [10]
The answer is 68 because is repeating 3 times
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3 years ago
If sin(x)=m, with m&gt;0, find the value of sin(pie-x)
viva [34]

Answer:

Step-by-step explanation:

Sin (π - x ) = Sin x = m

8 0
3 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
Thus, the population will be 138 million in 2014

8 0
3 years ago
 In the equality -x&gt;5 what must you do to solve the problem
mars1129 [50]

Answer:

x < -5 (~Divide -1 to both sides)

Step-by-step explanation:

-x > 5

~Divide -1 to both sides

x < -5

3 0
3 years ago
Read 2 more answers
Hey guys i need help plz will give brainlist
nadya68 [22]

Step-by-step explanation:

Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.

20Ω + 10Ω = 30Ω

Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.

Now we can add the resistances up:

Effective resistance for circuit

= 120/7 Ω + 75/4 Ω = 1005/28 Ω.

Hence I = V / R

= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)

5 0
3 years ago
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