Write an equation to represent the following statement.

Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6

poizon [28]

Answer:

$(5p^2+3)(p-2)$

Step-by-step explanation:

In this problem, we need to write the factor form of expression $5p^3-10p^2+3p-6$ .

It can be done as follows :

$5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)$

Taking common form the terms as follows :

$=p(5p^2+3)-2(5p^2+3)$

It can be also written as :

$=(5p^2+3)(p-2)$

Hence, the factored form of $5p^3-10p^2+3p-6$ is $(5p^2+3)(p-2)$

7 0

3 years ago

Landry earned $2,300 over the summer and decided to invest it in an account that earns 4% annual compound interest. If Landry do

solniwko [45]

Answer:

Landry will have $5039.58

Step-by-step explanation:

compound interest formula: amount = p(1 + \frac{r}{n})^{nt}

p= principal ($2,300)

r= interest rate as a decimal (4% = 0.04)

n= number of times the principal is compounded per year (annually = once per year so 1 time per year)

t= time in years (20 years)

new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}

That equation equals $2,739.58 which you add to the principal.

$2,739.58 + $2,300 = $5039.58

hope this helps :) the equations aren't showing up right :(

6 0

3 years ago

Read 2 more answers

Ellie wanted to build a fence around her rectangular garden. The garden is 10 ft by 20 ft. A) What is the perimeter of the garde

swat32

Answer:

60 feet

Step-by-step explanation:

Perimeter is the sum of the four sides of a rectangle

the formula for the perimeter of a rectangle = 2 x (length + breadth)

2 x (10 + 20)

2 x (30)

= 60 feet

Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet

4 0

2 years ago

From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

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".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

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: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

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

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

5 0

3 years ago

Suppose that e and f are two events and that upper p left parenthesis upper e right parenthesis p(e) equals = 0.5 0.5 and upper

Fofino [41]

I believe it is 0.10?

5 0

2 years ago