Find the % of change in the cost of gasoline from 1970 with $1.25 and 2010 with $2.75

HELP ME!!! Answer in Scientific Notation and explain and show work.

umka21 [38]

Multiplying means you add the exponents and dividing means you subtract the exponents. Treat the decimals as you normally would.
$(4.3 \times {10}^{8} ) \times (2.0 \times {10}^{6} )$
$4.3 \times 2.0 = 8.6$
$8 + 6 = 14$
$8.6 \times {10}^{14}$

$(6 \times {10}^{3} ) \times (1.5 \times {10}^{ - 2} )$
$6 \times 1.5 = 9$
$3 + - 2 = 1$
$9 \times {10}^{1}$

$(1.5 \times {10}^{ - 2} ) \times (8.0 \times {10}^{ - 1} )$
$1.5 \times 8 = 12$
$- 2 + - 1 = - 3$
$12 \times {10}^{ - 3}$

$\frac{(7.8 \times {10}^{3}) }{(1.2 \times {10}^{4}) }$
$\frac{7.8}{1.2} = 6.5$
$3 - 4 = - 1$
$6.5 \times {10}^{ - 1}$

$\frac{(8.1 \times {10}^{ - 2} )}{(9.0 \times {10}^{2} )}$
$\frac{8.1}{9.0} = 0.9$
$- 2 - 2 = - 4$
$0.9 \times {10}^{ - 4}$

$\frac{6.48 \times {10}^{5} }{(2.4 \times {10}^{4} )(1.8 \times {10}^{ - 2}) }$
$2.4 \times 1.8 = 4.32$
$4 + - 2 = 2$
$\frac{6.48 \times {10}^{5} }{4.32 \times {10}^{2} }$
$\frac{6.48}{4.32} = 1.5$
$5 - 2 = 3$
$1.5 \times {10}^{3}$

7 0

2 years ago

Choose the equation that represents the graph below.

PtichkaEL [24]

So the question ask to calculate and find the equation that could represent the graph that is shown in your problem. In getting the answer to this, you must use the formula of the slope intercept form and get the value of the slope. So the answer would be letter D. y=x+3.

3 0

3 years ago

Which function describes the arithmetic sequence shown?<br> 1,-2, -5, -8, -11, ...

antiseptic1488 [7]

Answer:

a(n)=1+(n-1)(-3)

Step-by-step explanation:

Notice there's a common difference of d=-3.

If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)

6 0

2 years ago

A rectangular prism has a length that is 3 inches shorter than the height and a width that is 5 inches longer than the height. F

LUCKY_DIMON [66]

An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.

We are given a rectangular prism.
A rectangular prism is no different than a cuboid.
Let the height of the rectangular prism be "h".
The length of the rectangular prism is "h-3".
The width of the rectangular prism is "h+5".
The volume of the rectangular prism is the same as that of the cuboid.
The volume of the rectangular prism is the product of its length, its width, and its height.
The volume of the rectangular prism is (h - 3)*(h + 5)*h.
An equation for the volume of the prism as a function of the height is :
Volume = (h - 3)*(h + 5)*h
Volume = (h² + 2h - 15)*h
Volume = h³ + 2h² - 15h

To learn more about prism, visit :

brainly.com/question/12649592

#SPJ1

5 0

1 year ago

Find the distance between the points (-5, -10) and (2, 4).

Novay_Z [31]

Ok, so I used the equation Y2 (4) - Y1 (-10) over X2 (2) -X1 (-5).
4 - -10 is 14 since if a minus sign is before a negative number, it becomes positive.
Same goes for 2 - -5. It is 7 since the minus sign is before the negative number. Final answer is 14/7 which can be simpflied to 2/1 since 14 divided by 7 =2. So the distance is 14\7, or 2\1.

3 0

2 years ago

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