You have:
2r $\leq$ 6r-21
then move the 6r over to the left and you end up wtih
-4r $\leq$ -21
Then you divide by -4 and when you do you must flip the inequality so your answer would be
r $\geq$ 21/4

8 0

3 years ago

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What is the answer????

sveta [45]

Answer:

LMN

Step-by-step explanation:

6 0

3 years ago

Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he look

Assoli18 [71]

Answer:

3 * 10^3 in scientific notation.

3,000 in standard notation.

Step-by-step explanation:

We divide:

3.9 *10^5 / 1.3 * 10^2

= ( 3.9/1.3) * (10^5 / 10^2)

= 3 * 10(5-2)

= 3 * 10^3.

This equals 3 * 1,000 = 3000.

4 0

3 years ago

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago