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3 years ago

Write the numeral 0.0284 × 10^4 in scientific notation. A. 28.4 × 101 B. 0.284 × 103 C. 2.84 × 102 D. 284

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

2.84×10²

Step-by-step explanation:

0.0284×10⁴

Move the decimal point 4 places to the right.

284

Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.

2.84×10²

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tatyana61 [14]

Answer:

10.5

Step-by-step explanation:

$KET\cong KIT...... (given)$

$\therefore KE \cong KI.... (csct)$

$\therefore m(KE) =m(KI)$

$\therefore 10x-34= 4x + 29$

$\therefore 10x-4x= 34 + 29$

$\therefore 6x= 63$

$\therefore x=\frac{63}{6}$

$\therefore x=10.5$

4 0

3 years ago

What is the change of rate for y=4x-3?

tester [92]

Answer:

the rate of change is 4/1

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3 years ago

Help me please I don’t know what to do

den301095 [7]

To find an inverse function first replace f(x) with y

f(x) = 8*sqrt(x)
y = 8*sqrt(x)

Then, simply switch the places of the x and y.

x = 8sqrt(y)

Now solve for the new y by squaring both sides (to get rid of the root)

x^2 = 64y

divide to get

y = x^2/64. This is the inverse function or option C.

6 0

3 years ago

Quadratic Equation Applications

serious [3.7K]

The number of $0.50 increases to maximize the profit is X = 1.

First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:

P - Price of each ticket.

x - number of increases.

We know that the current price is $5.00, so:

$P(x) = 0.5x + 5.00$

After that, let's build a linear function which shows the number of tickets sold for each price increase:

T - number of tickets.

x - number of increases.

$T(x) = -100x + 1200$

With all this done, we can finally build the quadratic function which represents the money earned:

M - money earned

$M = Tickets Sold \times TicketPrice\\\\M = T(x) \times P(x)\\\\M = (0.5x + 5) \times (-100x + 1200)\\\\M = -50x^{2} + 600x -500x + 6000\\\\M(x) = -50x^{2} + 100x + 6000\\\\$

Now, to finish, we only have to calculate the value of X(number of increases) which can give us the maximum value of this function:

the X coordinate for the maximum value of a quadratic is expressed by:

$Xmax = \frac{-b}{2a} \\\\$

In our equation, b = 100 and a = - 50 :

$Xmax = \frac{-(100)}{2(-50)} \\\\Xmax = \frac{-100}{-100} \\\\Xmax = 1$

Thus, the number of increases which maximizes the profit is 1.

Learn more about linear and quadratic functions in: brainly.com/question/4119784

3 0

3 years ago

The bases of an isosceles trapezoid are represented by 4x and 2x.. The height of the trapezoid is represented by (x − 6). Which

rusak2 [61]

The formula for solving the area of a trapezoid is shown below:
Area = ((a+b)/2 ) * h
where "a" and "b" for the base and "h" for the height
a = 4x
b = 2x
c = (x-6)

The solution for the polynomial expression is shown below:
Area = (4x + 2x)/2 * (x-6)
Area = 6x/2 * (X-6)
Area = 3X * (X-6)
Area = 3X² - 18X

The answer is 3X² - 18X.

8 0

3 years ago