How to write 863.141 in expanded form

the minimum wage is established by the federal government. in 1938 the minimum wage was $0.25 per hour and it has risen to $7.25

sasho [114]

Answer:

$0.25 = a b^0$

$a = 0.25$

So then our model is given by:

$y = 0.25 b^x$

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

$7.25 = 0.25 b^{71}$

We can divide both sides by 0.25 and we got:

$\frac{7.25}{0.25}=29 = b^{71}$

And then solving for b we got:

$b = 29^{1/71}= 1.04856934$

So then our model would be given by:

$y = 0.25 (1.04856934)^x$

Step-by-step explanation:

For this case we know that for 1938 the minimum wag was 0.25 per hour and for 2009 the new minimum wag was 7.25 per hour.

We want to find an exponential function like this:

$y = a b^x$

Where y represent the value for the minimum wage and x represent the number of years since 1938.

USing the first condition given we know that for 1938 the value of x = 0 and w ehave:

$0.25 = a b^0$

$a = 0.25$

So then our model is given by:

$y = 0.25 b^x$

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

$7.25 = 0.25 b^{71}$

We can divide both sides by 0.25 and we got:

$\frac{7.25}{0.25}=29 = b^{71}$

And then solving for b we got:

$b = 29^{1/71}= 1.04856934$

So then our model would be given by:

$y = 0.25 (1.04856934)^x$

4 0

3 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

schepotkina [342]

Answer:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

$\bar X=8.19 cm^3$ represent the sample mean

$s=0.8 cm^3$ represent the sample deviation

$n=17$ sample size

$\mu_o =9.02$ represent the value to verify

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 9.02$

Alternative hypothesis: $\mu < 9.02$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

6 0

3 years ago

Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this

Dima020 [189]

Answer:

45

Step-by-step explanation:

3 0

3 years ago

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Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

AlexFokin [52]

Answer:

2 apples and 1 mango

Step-by-step explanation:

Bowl A can be written as 6a + 3m

Bowl B can be written as 8a + 2m

The difference between the bown is 2 apples and 1 mango

6 0

3 years ago

If h(x) is the inverse of f(x). what is the value of h(f(x))?

attashe74 [19]

Option C is correct

The value of h(f(x)) is, x

Inverse function:

An inverse function that undergoes the other function.

For example: if f(x) is the inverse of g(x) then;

for every x.

As per the statement:

If h(x) is the inverse of f(x).

by definition of inverse:

Therefore, the value of h(f(x)) is, x

6 0

3 years ago

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