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3 years ago

Take away 8 from 5 times m

Mathematics

1 answer:

ch4aika [34]3 years ago

7 0

Answer:

5m-8

Step-by-step explanation:

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The fish tank at Matthew's house holds 468 gallons but is leaking at a rate of 4 gallons per day. Ariana's fish tank holds 624 g

user100 [1]

468 plus 624 times 7 divided by 4 and you should get the amount of water in the two tanks

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3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

4 years ago

What is 3/4 divided 5/16 in its simplest form?

muminat

Step-by-step explanation:

3/4÷5/16

3/4×16/5

=12/5(2 2/5)

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3 years ago

A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inc

KonstantinChe [14]

Answer:

Step-by-step explanation:

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4 years ago

Whats ten hundredths in standard form

Romashka [77]

Ten hundreths: 10/100 simplifies (divide top and bottom by 10) to 1/10
1/10 in standard form: 0.1 (reads as one-tenth)

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4 years ago

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