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Over [174]
3 years ago
8

Determine whether the relation describe c as a function of w.

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

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15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

7 0
2 years ago
Hello, if you’re feeling generous today please lend a hand!! thank you
andrew11 [14]

Answer:

x  \leqslant 2

Step-by-step explanation:

The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2

3 0
2 years ago
F(5)=-3x+10 what will the domain and range be
Vladimir [108]
F= -3/5 x+2. Hope this helps

3 0
2 years ago
Pls help it’s not 2 and not 10
eduard

Answer:

11.18

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
7nadin3 [17]

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

3 0
2 years ago
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