4x +

IF YOU SOLVE I WILL BE YOUR BEST FRIEND I SWEAR. ALSO WILL AWARD THE BRAINLIEST THING. PLEASE. I NEED THESE GRADES SO I WONT BE

asambeis [7]

Answer:

see below

Step-by-step explanation:

x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0

x = 2, x = ± i, x=3 with multiplicity 2

-----------------------------------------------------

x⁴ - 5x³ + 7x² - 5x + 6 = 0

x = 2, x=3, x = ± i

--------------------------------------------------------

<u>-1 + 4i</u> = 4 + i

i

--------------------------------------------------------

x³ - 26x² + 21x - 18 = 0

x = ± 2i, x = 3/2

--------------------------------------------------------

(1 + i) (-3 - 4i)

= 1 - 7i

--------------------------------------------------------

6.

(-5 + 2i) + (3 - 6i)

= -2 -4i

--------------------------------------------------------

7.

x⁴ + 5x² + 4 = 0

x = ± i , x = ± 2i

--------------------------------------------------------

8.

(7 - i) - (-5 + 6i)

= 12 - 7i

--------------------------------------------------------

9.

(4 - i) (4 + i)

= 17

--------------------------------------------------------

10.

(3 + 8i) (4 - 3i)

= 36 + 23i

3 0

3 years ago

Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it

ollegr [7]

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = $\frac{0.278}{2} =0.139$

Surface area of reamed hole = $\pi r^2$

Surface area of reamed hole = $3.14 \times (0.139)^2$

Surface area of reamed hole = 0.06066794

Diameter of pin = $\frac{9}{32}$

Radius of pin = $\frac{9}{64}$

Surface area of pin = $\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620$

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

7 0

3 years ago

If the consumer price index changes from 125 in september to 150 in october, what is the rate of inflation?

allochka39001 [22]

The rate of inflation is analogous to the percent difference of the original to the new price. Thus, its formula is written as:

Rate of Inflation = [New price - Base price]/Base Price * 100
Rate of inflation = (150 - 125)/125 * 100 = 20%

<em>So, the answer is A.</em>

4 0

3 years ago

Read 2 more answers

HELP! IL GIVE ALOT OF POINTS

Sholpan [36]

Answer:

290

Step-by-step explanation:

an i have brainliest

6 0

3 years ago

Read 2 more answers

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

4 years ago