If one angle is a right angle, then it has a measure of

PLEASE I NEED TO TURN THIS IN TOMORROW I NEED HELP PLEASE HELP ME

mart [117]

Answer: $\sum_{n=1}^{5}4^n=1364$

Step-by-step explanation:

Since we have given that

$\sum_{n=1}^{5}4^n$

Now, we know the rule for summation , we'll apply this ,

$\sum_{n=1}^{5}4^n\\=4^1+4^2+4^3+4^4+4^5\\$

Now, it becomes geometric progression, so we us the formula for sum of terms in g.p. which is given by

$S_n=\frac{a(r^n-1)}{r-1}\\\\\text{where 'a' is the first term and 'r' is the common ratio}$

So, our equation becomes ,

$a=4 \\\\r=\frac{a_2}{a_1}=\frac{4^2}{4}=4\\\\S_5=\frac{4(4^5-1)}{4-1}\\\\S_5=1364$

Hence ,

$\sum_{n=1}^{5}4^n=1364$

7 0

3 years ago

Read 2 more answers

A 2-gallon bottle of bleach costs $14.24. What is the price per pint?

aleksley [76]

Answer:

16 divided by 14.24 = 1.12359550562

If you round it would be: $1.12

7 0

2 years ago

Read 2 more answers

Kevin can travel 22 1/2 miles in 1/3 hour. What is his average speed in miles per

finlep [7]

67.5 as distance = rate x time
So rate would equal distance / time
Rate = 22.5 miles / 1/3 hour
Rate = 67.5 mph

5 0

2 years ago

A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms

MissTica

Answer:

$t = \frac{39.5-30.6}{\frac{6.6}{\sqrt{25}}}= 6.74$

The degrees of freedom are given by:

$df =n-1= 25-1=24$

Now we can calculate the p value with the following probability:

$p_v = 2*P(t_{24}>6.74)= 5.69x10^{-7}$

And for this case since the p value is lower compared to the significance level $\alpha=0.05$ we can reject the null hypothesis and we can conclude that the true mean for this case is different from 30.6 at the significance level of 0.05

Step-by-step explanation:

For this case we have the following info given:

$\bar X = 39.5$ represent the sample mean

$s =6.6$ represent the sample deviation

$\mu = 30.6$ represent the reference value to test.

$n = 25$ represent the sample size selected

The statistic for this case is given by:

$t =\frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}$

And replacing we got:

$t = \frac{39.5-30.6}{\frac{6.6}{\sqrt{25}}}= 6.74$

The degrees of freedom are given by:

$df =n-1= 25-1=24$

Now we can calculate the p value with the following probability:

$p_v = 2*P(t_{24}>6.74)= 5.69x10^{-7}$

And for this case since the p value is lower compared to the significance level $\alpha=0.05$ we can reject the null hypothesis and we can conclude that the true mean for this case is different from 30.6 at the significance level of 0.05

3 0

3 years ago

Help me please. 30 points :)

Nataly [62]

$\frac{(5 \: - \: 8x)}{( \sqrt{5 \: - \: 8x} )} \: = \: \sqrt{5 \: - \: 8x}$
For the result to be Real,
$5 \: - \: 8x \: \geqslant \: 0$
$8x \: \leqslant \: 5$
$x \: \leqslant \: \frac{5}{8}$
$( \frac{(5 - 8x)}{( \sqrt{5 - 8x} )} ) \: \times \: (\frac{ \sqrt{5 - 8x} }{ \sqrt{5 - 8x} } ) \: = \: \frac{ {(5 \: - \: 8x)}^{ \frac{3}{2} } }{(5 \: - \: 8x)}$
Hence,
$\frac{{(5 \: - \: 8x)}^{ \frac{3}{2} } }{(5 \: - \: 8x)}$
is the required form.

3 0

3 years ago