All categories

3 years ago

Solve 3^(4x+5)=(1/3)^(x+10) for x. Please show work

Mathematics

1 answer:

Naya [18.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

$3^{4x+5}=(\frac{1}{3} )^{x+10}=\frac{1}{3^{x+10}} =3^{-x-10}\\so~4x+5=-x-10\\4x+x=-10-5\\5x=-15\\x=-3$

You might be interested in

!!!!!!!!!HELP ASAP!!!!!!! WORTH 20 POINTS

Juliette [100K]

F(x)=∛x

The domain will be all real numbers.

Answer: A) all real numbers.

Ej: if x=-8 ⇒∛-8=-2

8 0

3 years ago

A baseball team won 8 games and lost 6. If the team continues at this ratio, how many wins will the team have after playing 21 g

DIA [1.3K]

Answer:

12 wins and 9 losses.

Step-by-step explanation:

Because they are winning 57.14% of there games so if 8 out of 14=57.14% then that means if they would have still one at the exact pace then.

12 wins out of 21 would mean they would have one 57.14% of there games.

Hope this helps have a great afternoon:)

4 0

2 years ago

Solve the inequality

Nadya [2.5K]

The answer is
x > 16/7
The > has a line under<span />

3 0

3 years ago

What are the first ten multiples of 12

iris [78.8K]

12x1
12x2
12x3
12x4
12x5
12x6
12x7
12x8
12x9
12x10

4 0

3 years ago

Read 2 more answers

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

blondinia [14]

The confidence interval for mean of the "before-after" differences is $\fbox{(-0.4037,1.8037)}$

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = $5.6$

Total number of observation = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

Formula for confidence interval = $\left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)$

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

confidence interval = $\left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

From the t-table.

The value of $t_{7, \frac{5}{2}\%$ = $2.365$

Confidence interval = $( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)$

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

The $95\%$ confidence interval tells us about that $95\%$ chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

7 0

3 years ago

Read 2 more answers