Which of the following ordered pair is the solution to the system of equations?

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

In the formula I=PRT, what is the value of T?

OverLord2011 [107]

The answers would be letter b

6 0

3 years ago

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!

Alchen [17]

F(x) = x + 1
------
b

g(x) = cx - d

flip values of x and y in each equation, then solve for y:

x = y + a
-------
b

y = a - bx

``````````````````````````````````````````````````````````

x = cy - d

y = x + d
-------
c

3 0

3 years ago

Read 2 more answers

The points (-6, r) and (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

NeTakaya

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that $m = \frac{3}{4}$ , and thus:

$y = \frac{3}{4}x + b$

(6,3)

This means that when $x = 6, y = 3$ . We use this to find b. So

$y = \frac{3}{4}x + b$

$3 = \frac{3}{4}(6) + b$

$b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}$

So

$y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}$

(-6, r)

r is y when $x = -6$ . So

$y = \frac{3(-6) - 6}{4} = -6$

So r = -6.

5 0

3 years ago

The graph shows the results of a race between Parin and Andrew. Both boys begin the race at the same time.

ziro4ka [17]

The graph below shows the velocity of two bicyclists A and B in arace from time t=0 to time t=16. The racers start side by side andtravel along the same road. The race begins at time t=0 and at timet=16 one of the racers completes the course.

3 0

3 years ago

Read 2 more answers