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PilotLPTM [1.2K]
3 years ago
13

The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesi

s x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.
US women in Labor Force

According to the model, when will 70% of the U.S. women participate in the work force? Show all work and explain your answer in the context of the problem.
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

Half of year 2043

Step-by-step explanation:

The function is: f(x) = 3.5√x + 38

where f(x) represents the percentage of U.S. women in the labor force x years after 1960.

Replacing f(x) = 70 and isolating x, we get:

70 = 3.5√x + 38

3.5√x = 70 - 38

√x = 32/3.5

x = 9.14²

x = 83.5

This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043

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FinnZ [79.3K]
11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 


8 0
3 years ago
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I need some help with this calculus 1 implicit diffrention problem?
katen-ka-za [31]

Answer:

y" = -24 / y³

Step-by-step explanation:

6x² + y² = 4

Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

Solve for y' in the first equation.

2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

12 + 2y y" + 2(36x²/y²) = 0

12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

y" = (-36x² − 6(4 − 6x²)) / y³

y" = (-36x² − 24 + 36x²) / y³

y" = -24 / y³

7 0
3 years ago
olivia is three times Daisys age now. in 5 years time, olivia will be twice daisys age then. how old is daisy now
neonofarm [45]

Answer:

10

Step-by-step explanation:

If Daisy is originally 5 years old, then Olivia would be three times her age which is 15 years old.

After 5 years pass, Daisy will be 10 years old and Olivia will be 20 years old, making Olivia twice as old as Daisy now.

5 0
3 years ago
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Find the GCF of the following literal terms.<br><br> m^7n^4p^3 and mn^12p^5
Sidana [21]
I hope this helps you

3 0
3 years ago
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£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
seraphim [82]

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

4 0
3 years ago
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