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4 years ago

6 x 10^-4 in standard form. explain how you did it pleeeeasee

Mathematics

2 answers:

Ber [7]4 years ago

7 0

Answer:

0.0006

Step-by-step explanation:

A number in scientific notation if it has the form a × 10ⁿ.

A negative exponent indicates

A number between 0 and 1.
That the decimal point is shifted that number of places to the left.

6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.

Thus, 6 × 10⁻⁴ becomes 0.0006

shutvik [7]4 years ago

4 0

0.0006=6x10^-4

Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.

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The average high temperature each month in a calendar year for a city in South Carolina is represented by the function: f(x)=−x2

LuckyWell [14K]

Answer:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=-7.7$

Step-by-step explanation:

The average rate of change measures the average rate at which a function changes per unit time in a given interval. In another words, the average rate of change is the relationship between vertical and horizontal changes between two points of the function. So, basically if you are trying to find the average rate of change, you are trying to find the slope.

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=m=\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

If $x$ represents the months, then:

Let:

$September=x_1=9\\December=x_2=12$

So:

For:

$f(x)=-x^2+13.3x+42$

$f(x_1)=f(9)=-(9)^2+13.3(9)+42=80.7\\\\f(x_2)=f(12)=-(12)^2+13.3(12)+42=57.6$

Therefore:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=\frac{57.6-80.7}{12-9} =\frac{-23.1}{3} =-7.7$

4 0

4 years ago

The width of a rectangle measures (8.4x + 2.2) centimeters, and its length

lorasvet [3.4K]

The algebraic expression that will represent the perimeter in centimeters of the given rectangle is: $(25.8x +11.2) $ cm$

Recall:

Perimeter of a rectangle = 2(L + W)

Given the following dimension of a rectangle:

width (W) = (8.4x + 2.2) cm
length (L) = (4.5x + 3.4) cm

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

Thus:

Perimeter = $2((4.5x + 3.4) + (8.4x + 2.2))$

Open the bracket

Perimeter = $2(4.5x + 3.4 + 8.4x + 2.2)$

Add like terms together

Perimeter = $2(12.9x + 5.6)$

Multiply

Perimeter = $25.8x +11.2$

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is: $(25.8x +11.2) $ cm$

Learn more here:

brainly.com/question/18869010

3 0

3 years ago

What are the vertices of POR?

cupoosta [38]

Answer is (d) P, Q , R

Any triangle has 3 vertices , after which its name is justified

8 0

3 years ago

Please helpppp I'll give you brainliest

Delvig [45]

Step-by-step explanation:

$f(-1) = 7(-1) + 4 = -3$ (because -1 < 0)

$f(0) = 7(0) + 8 = 8$

$f(2) = 7(2) + 8 = 22$

4 0

3 years ago

Needed help with this question!

In-s [12.5K]

A) is 2x
b) is $x^{3}$
c) is -2x

I think these are correct.
$log_{10}1000^{x] = log_{10}10^{2x}=2x$
I did similar things to get other answers
$1000^{log_{10}x} = 10^{3log_{10}x}=10^{log_{10}x^{3}}=x^{3}$

5 0

3 years ago