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4 years ago

What is the factorization of the trinomial below?x3 - 2x2 - 35x

1 answer:

5 0

A.

Start by factoring out an x and then you have a standard trinomial, which you can factor by examining the factors of the final number that add up to the middle number.

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Help me please :( I cant seem to get it right

Kazeer [188]

31 is (1)

3 females out of 5 widowed students, 3/5 = 0.6 which is 60%.

the answer for 30 is 10/30 or 33.3%, which isn't an option

7 0

3 years ago

Please help, i already tried and couldn't get it right

yan [13]

Answer:

3072

Step-by-step explanation:

General form of a geometric sequence:

$a_n=ar^{n-1}$

where:

$a_n$ is the nth term
a is the first term
r is the common ratio

Given values:

first term, a = 3
common ratio, r = 4

Substitute the given values into the formula to create an equation for the nth term:

$\implies a_n=3(4)^{n-1}$

To find the 6th term, substitute n = 6 into the equation:

$\implies a_6=3(4)^{6-1}$

$\implies a_6=3(4)^{5}$

$\implies a_6=3(1024)$

$\implies a_6=3072$

Therefore, the 6th term of a geometric sequence whose 1st term is 3 and whose common ratio is 4 is 3072.

Learn more about geometric sequences here:

brainly.com/question/27783194

4 0

2 years ago

A cube had a volume of 1/512 cubic meter. What is the length of each side of the cube using the formula "volume=Length×Width×Hig

MrRa [10]

Answer:

The length of each side of the cube is $\frac{1}{8}\ m$

Step-by-step explanation:

we know that

The volume of a cube is equal to

$V=LWH$

but remember that in a cube

Length, width and height have the same value

Let

b-----> the length side of the cube

$L=W=H=b$

substitute in the formula

$V=(b)(b)(b)=b^{3}$

In this problem we have

$V=\frac{1}{512}\ m^{3}$

substitute and solve for b

$b^{3}=\frac{1}{512}$

$b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m$

therefore

The length of each side of the cube is $\frac{1}{8}\ m$

4 0

4 years ago

An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "

FromTheMoon [43]

Answer:

There is no significant difference between the averages.

Step-by-step explanation:

Let's call

$\large X_{sentences}$ the mean of the “sentences” group

$\large S_{sentences}$ the standard deviation of the “sentences” group

$\large X_{intentional}$ the mean of the “intentional” group

$\large S_{intentional}$ the standard deviation of the “intentional” group

Then, we can calculate by using the computer

$\large X_{sentences}=28.75$

$\large S_{sentences}=3.53553$

$\large X_{intentional}=31.625$

$\large S_{intentional}=1.40788$

$\large X_{sentences}-X_{intentional}=28.75-31.625=-2.875$

The standard error of the difference (of the means) for a sample of size 8 is calculated with the formula

$\large \sqrt{(S_{sentences})^2/8+(S_{intentional})^2/8}$

So, the standard error of the difference is

$\large \sqrt{(3.53553)^2/8+(1.40788)^2/8}=1.34546$

In order to see if there is a significant difference in the averages of the two groups, we compute the interval of confidence of 95% for the difference of the means corresponding to a level of significance of 0.05 (5%).

If this interval contains the zero, we can say there is no significant difference.

Since the sample size is small, we had better use the Student's t-distribution with 7 degrees of freedom (sample size-1), which is an approximation to the normal distribution N(0;1) for small samples.

We get the $\large t_{0.05}$ which is a value of t such that the area under the Student's t distribution outside the interval $\large [-t_{0.05}, +t_{0.05}]$ is less than 0.05.

That value can be obtained either by using a table or the computer and is found to be

$\large t_{0.05}=2.365$

Now we can compute our confidence interval

$\large (X_{sentences}-X_{intentional}) \pm t_{0.05}*(standard \;error)=-2.875\pm 2.365*1.34546$

and the confidence interval is

[-6.057, 0.307]

Since the interval does contain the zero, we can say there is no significant difference in these samples.

6 0

4 years ago

(-y+5×3)+(7.2y-9) How do you solve tjis

dybincka [34]

First do the multiplication inside the parenthesis

(-y+15) + (7.2y-9)

Remove the parenthesis now

-y+15+7.2y-9

Simplify:

6.2y +6

So your final answer is $\boxed{\sf{6.2y+6}}$

4 0

3 years ago

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