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Libon’s new car can travel 45 miles on 1 gallon of gasoline.

atroni [7]

Answer:

a. 315 miles b. 0.022222... c. g=m45 (not so sure on c)

Step-by-step explanation:

mental math and a calculator, you'll have to look up unit rate and rate videos for a step by step

8 0

3 years ago

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What is excel and how does it work?

alexira [117]

Answer:

Excel is a handy software that can be used to store and organize many data sets. Using its features and formulas, you can also use the tool to make sense of your data. For example, you could use a spreadsheet to track data and automatically see sums averages and totals.

Step-by-step explanation:

Go to this website it will answer your question:) The link is below

https://blog.hubspot.com/marketing/how-to-use-excel-tips

3 0

3 years ago

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What is the prime factorization for 900 i just need the answer i got to turn in in like 2 minute

Tomtit [17]

Answer:

Factors (2 x 2 x 3 x 3 x 5 x 5 = 900). It can also be written in exponential form as 22 x 32 x 52.

Step-by-step explanation:

4 0

3 years ago

Assume V and W are finite-dimensional vector spaces and T is a linear transformation from V to W, T: Upper V right arrow Upper

scZoUnD [109]

Answer:

Thus for the vectors v_1, v_2, v_p there are scalars c_1, c_2, c_p not all zeros, such that c_1v_1 +c_2v_2+... +c_pv_p = 0. It means that the vectors v_1, v_2, v_p are linearly dependent in contradiction with the fact that the vectors form a basis for H. So the assumption that T(v_1), T(v_2),..., T(v_p) are linearly dependent is false, proving the required.

Step-by-step explanation:

Let B = {v_1 ,v_2,..., v_p} be a basis of H, that is dim H = p and for any v ∈ H there are scalars c_1 , c_2, c_p, such that v = c_1*v_1 + c_2*v_2 +....+ C_p*V_p It follows that

T(v) = T(c_1*v_1 + c_2v_2 + ••• + c_pV_p) = c_1T(v_1) +c_2T(v_2) + c_pT(v_p)

so T(H) is spanned by p vectors T(v_1),T(v_2), T(v_p). It is enough to prove that these vectors are linearly independent. It will imply that the vectors form a basis of T(H), and thus dim T(H) = p = dim H.

Assume in contrary that T(v_1 ), T(v_2), T(v_p) are linearly dependent, that is there are scalars c_1, c_2, c_p not all zeros, such that

c_1T(v_1) + c_2T(v_2) +.... + c_pT(v_p) = 0

T(c_1v_1) + T(c_2v_2) +.... + T(c_pv_p) = 0

T(c_1v_1+ c_2v_2 ... c_pv_p) = 0

But also T(0) = 0 and since T is one-to-one, it follows that c_1v_1 + c_2v_2 +.... + c_pv_p = O.

Thus for the vectors v_1, v_2, v_p there are scalars c_1, c_2, c_p not all zeros, such that c_1v_1 +c_2v_2+... +c_pv_p = 0. It means that the vectors v_1, v_2, v_p are linearly dependent in contradiction with the fact that the vectors form a basis for H. So the assumption that T(v_1), T(v_2),..., T(v_p) are linearly dependent is false, proving the required.

8 0

3 years ago

The amount Lin's sister earns at her part-time job is proportional to the number

jarptica [38.1K]

the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

<u>Step-by-step explanation:</u>

Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:

Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :

⇒ $y = 9.6(x)$

Yes, y is a function of x , as a straight line with a slope of 9.6

Now , x as a function of y :

⇒ $\frac{y}{ 9.6}=(x)$

⇒ $x=\frac{1}{ 9.6}(y)$

Therefore , the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

3 0

4 years ago

Please help meeeeeee​

Please help meeeeeee