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3 years ago

47 x 10^6 x 78 x 10^-3 in scientific notation

Mathematics

1 answer:

irinina [24]3 years ago

8 0

4.2 x 10^<span>-3 is the answer</span>

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Prove that: sin8A/1-cos8A=cot4A

nikitadnepr [17]

Step-by-step explanation:

Recall the identity

$\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}$

We can see that

$\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A$

8 0

3 years ago

#16 i

Vlad1618 [11]

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

$\mathbf{(x,y) \to (0,9200)(5,10900)}$

A linear function is represented as:

$\mathbf{y = mx + b}$

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

$\mathbf{10900 = 5m + 9200}$

Subtract 9200 from both sides

$\mathbf{1700 = 5m}$

Divide both sides by 5

$\mathbf{340 = m}$

So, we have:

$\mathbf{m =340 }$

The function becomes

$\mathbf{y = mx + b}$

$\mathbf{y = 340x + 9200}$

In the academic year 2023-2024, x = 9.

So, we have:

$\mathbf{y = 340x + 9200}$

$\mathbf{y = 340 \times 9 + 9200}$

$\mathbf{y = 3060 + 9200}$

$\mathbf{y = 12260}$

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

brainly.com/question/21107621

4 0

2 years ago

If f(x) = 2x2 - 5 and g(x) = 3x + 3, find (f - g)(x).

Vera_Pavlovna [14]

Answer: A. 2x2 - 3x - 8

Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8

7 0

2 years ago

Select the correct answer.

eimsori [14]

Answer:

Step-by-step explanation:

Given that

f(x)=-2x – 1

g(x) = -1/2x+1/2

I The function f( g(x)) = x for all real x.

-2(-1/2X + 1/2) - 1

X - 1 - 1

X - 2

II. The function glAx)) = x for all real x.

- 1/2( -2X - 1 ) + 1/2

X + 1/2 + 1/2

X + 1

III. Functions fand g are inverse functions

Inverse of f(x)

Y = -2x - 1

X = - 2Y - 1

- 2Y = X + 1

Y = - 1/2X - 1/2

Therefore, none of the above answers is correct.

The correct answer is therefore D

7 0

2 years ago

Read 2 more answers

HELP QUICK PLEASE!!!! 20PTS!!!!!

Alexxx [7]

Answer:

Step-by-step explanation:

3 is a function because of the way associated with the second set

3 0

3 years ago