line has the equation y=6x +b. What must be the value of b for the line to model a directly proportional relationship

To counteract the frog population spike, the parks department has decided to introduce a large number of predator fish into thei

tekilochka [14]

Answer:

1.2 x 10⁴

Step-by-step explanation:

12,000 has 2 places of other numbers before a spam of zeroes.

Take the numbers before zeroes and put a decimal to the left of the last digit.

Last digit is 2 so a decimal goes before 2

1.2

Count how many places the decimal moved: this number is your power of 10.

12000. --> 1.2000

It moved 4 places.

12,000 = 1.2 x 10⁴

6 0

3 years ago

Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0

1 year ago

6w = 21 Solve for w Please show steps

brilliants [131]

Answer:

w=21/6

w=3.5

Step-by-step explanation:

I hope it's helps you

4 0

3 years ago

Kate jogged 3 3/4 miles on Saturday morning and 2 1/2 miles Saturday evening. How many miles did she jog on Saturday? (5 2/3 OR

klio [65]

The answer is 6 1/4, because if you making 1/2 = 2/4, 2 + 3 = 5, the 4 stays the same, so its 5 5/4, and to make it proper, you make it 6 1/4

6 0

3 years ago

Read 2 more answers

Ben is repacking a 45-pound bag of rice into 8 smaller bags. How much rice is going to be in each smaller bag/11008924/c50ec7f7?

Murrr4er [49]

8 bags = 45 pound.
1 bag = 45 ÷ 8
1 bag = 5.625 pound

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Answer: 1 bag = 5.625 pound of rice
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3 0

3 years ago