All categories

3 years ago

Solve each equation. 10-2log9(1/4x)=9

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

Step-by-step explanation:

$Domain:\ \dfrac{1}{4}x>0\to x>0\\\\Use:\ \log_ab=c\iff a^c=b\ for\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\\====================================$

$10-2\log_9\left(\dfrac{1}{4}x\right)=9\qquad\text{subtract 10 from both sides}\\\\-2\log_9\left(\dfrac{1}{4}x\right)=-1\qquad\text{divide both sides by (-2)}\\\\\log_9\left(\dfrac{1}{4}x\right)=\dfrac{1}{2}\iff\dfrac{1}{4}x=9^\frac{1}{2}\\\\\dfrac{1}{4}x=\sqrt9\\\\\dfrac{1}{4}x=3\qquad\text{multiply both sides by 4}\\\\x=12\in D$

You might be interested in

Terrance made a list of his expenses. He is creating a check-off matrix to organize when his bills are due. A check-off matrix i

valkas [14]

Complete the chart by marking each of the expenses in the correct cell depending on whether the expense occurs montlhy, quarterly, annually, etc. as shown in the chart.

<h3>What is a check-off matrix?</h3>

This is a type of chart that is completed by adding X to the cells. In the case of expenses, check-off matrixes help you to visualize how often every expense occurs, and therefore it can be useful to control or monitor expenses.

This type of matrix often includes:

-Columns with the months of the year or the initals of these. June = J.

-Rows that show the expenses a person has.

<h3>How to do a check-off matrix?</h3>

List the expenses
Make an X in each of the cells that the each expense should occur.
Verify the information once the chart is finished.

Below you can find the complete chart:

Learn more about expenses in brainly.com/question/24803457

#SPJ1

6 0

2 years ago

Ia-5I=5-a lojubnbobihbihbjhbjhbjhbbjhbjhbjhjvhhbkjk

Anna35 [415]

Answer:

tha

Step-by-step explanation:

4 0

3 years ago

In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsibl

Veseljchak [2.6K]

Answer:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

Step-by-step explanation:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:

Null hypothesis: $p=p_0$

Alternative hypothesis: $p \neq p_o$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .