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Alborosie
3 years ago
13

Help me Assap step by step

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0

Answer:  F) 7 mph

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

The line you drew is correct but you read the graph wrong.  

The line drawn from 15 hours of training (bottom axis) meets the "line of best fit" at the average running speed (left axis) between 6 and 8, which is 7.

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Please help. Also show how you got it thanks!
Blababa [14]
There are 12 inches in a foot so we can work this problem out in inches 3/5 is 80%......80% of 12 inches is 9.6 inches ....1/4 is 3 inches and 2/3 is 8 inches so we have 9.6,3,and8 now we multiply 9.6*3*8 for the answer to be 230.4 inches squared
8 0
3 years ago
A company manufactures replacement parts for construction cranes. The fixed manufacturing cost is $2,400, and the variable cost
Sergeeva-Olga [200]
The answer is 3704, because, well it depends on his u work it out

3 0
4 years ago
L :V --&gt; W is a linear transformation. Prove each of the following (a) ker L is a subspace of V. (b) range L is a subspace of
iragen [17]

Answer:

a) Assume that x,y\in\ker L, and \alpha is a scalar (a real or complex number).

<em>First. </em>Let us prove that \ker L is not empty. This is easy because L(0_V)=0_W, by linearity. Here, 0_V stands for the zero vector of V, and 0_W stands for the zero vector of W.

<em>Second.</em> Let us prove that \alpha x\in\ker L. By linearity

L(\alpha x) = \alpha L(x)=\alpha 0_W=0_W.

Then, \alpha x\in\ker L.

<em>Third. </em> Let us prove that y+ x\in\ker L. Again, by linearity

L(x+y)=L(x)+L(y) = 0_W + 0_W=0_W.

And the statement readily follows.

b) Assume that u and v are in range of L. Then, there exist x,y\in V such that L(x)=u and L(y)=v.

<em>First.</em> Let us prove that range of L is not empty. This is easy because L(0_V)=0_W, by linearity.

<em>Second.</em> Let us prove that \alpha u is on the range of L.

\alpha u = \alpha L(x) = L(\alpha x) = L(z).

Then, there exist an element z\in V such that L(z)=\alpha u. Thus \alpha u is in the range of L.

<em>Third.</em> Let us prove that u+v is in the range of L.

u+v = L(x)+L(y) = L(x+y)=L(z).

Then, there exist an element z\in V such that L(z)= u +v. Thus u +v is in the range of L.

Notice that in this second part of the problem we used the linearity in the reverse order, compared with the first part of the exercise.

Step-by-step explanation:

6 0
3 years ago
What is the seventh term of the geometric sequence with a first term of 729 and a common ratio of ?
SVEN [57.7K]

<u>Given</u>:

Given that the first term of the geometric sequence is 729.

The common ratio is \frac{1}{3}

We need to determine the seventh term of the sequence.

<u>Seventh term</u>:

The seventh term of the sequence can be determined using the formula,

a_n=a_1(r)^{n-1}

To find the seventh term, let us substitute n = 7 in the above formula, we get;

a_7=a_1(r)^{6}

Now, substituting a_1= 729 and r=\frac{1}{3}, we get;

a_7=729(\frac{1}{3})^{6}

a_7=729(\frac{1}{729})

a_7=1

Thus, the seventh term of the geometric sequence is 1.

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