What would happen if plants die out in a food web

Determine if the given set is a subspace of set of prime numbers P 3. Justify your answer. The set of all polynomials of the for

forsale [732]

Answer:

It is not a subspace.

Step-by-step explanation:

So, the polynomial degree of at most 3 is given below as;

V = { p (z) = b0 + b1z + b2z^ + ... + bnz^n. |n is less than or equal to 3 and b0, b1, b2,... are integers.

To determine whether a subset is a subspace of Pn, we have to check for the properties below;

(1). Zero vector property : that is, when polynomial, p(z) = 0 and 0 is an integer.

(2). Addition property= here, we have; p(z) + h(z) = (b0 + b1z + b2z^2 +....+ bnz^n) + ( c0 + c1z + c^2z^2 +... + cnz^n). That is the sum of integers.

(3). Scaler multiplication property: the coefficient here may not be real numbers therefore, the condition is not followed here.

Therefore, it is not a subspace of Pn.

4 0

3 years ago

How is the process of isolating a variable in these literal equations similar to solving a one-step equation? How is it differen

Phantasy [73]

Answer:

It is similar in that you have to move everything to one side and get rid of coefficients on the variable.

It is different in that you aren't solving for the actual numerical value of the variable and are just solving in terms of other variables.

Step-by-step explanation:

One step equations and literal equations both are similar because you have to move everything to the other side to isolate the variable, and also divide or multiply to get rid of any coefficients on the variable to solve it.

However, they are different because one-step equations actually need you to solve for the numerical value of the variable. On the other hand, literal equations aren't solved completely and are not numerical answers, it is just the variable solved in terms of other variables.

4 0

3 years ago

One dozen eggs cost $1.98 if the charge is $11.88 how many dozens were purchased

Kazeer [188]

6 dozen were purchased

divide the charge by the cost of one dozen

number purchased = $\frac{11.88}{1.98}$ = 6

3 0

3 years ago

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sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

4 years ago

Susan buys the items listed below at a grocery store.

Yanka [14]

Answer:

Susan should get a loan and jjustpay without stressing herself and calculaitingthis

Step-by-step explanation:

8 0

3 years ago

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