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tatiyna
3 years ago
7

Shelly drove 320 miles in 8 hours. Maurice drove 230 miles in 5 hours. who drove at a faster rate? how much faster?

Mathematics
2 answers:
Alina [70]3 years ago
3 0
Hi there, we divide 320 miles in 8 hours and we get 40. Now, we divide 230 miles in 5 hours and we get 46. Therefore, Maurice drove the faster rate.
Anastaziya [24]3 years ago
3 0
The answer is Maurice cause maurice drive 46
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In a rational function, is the horizontal shift represented by the vertical asymptote?
ziro4ka [17]
<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.

Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.

7 0
3 years ago
What is the solution to the equation e^3x=12 Round your answer to the nearest hundredth
Lunna [17]

Keywords:

<em>equation, variable, clear, round, centesima, neperian logarithm, exponential </em>

For this case we have the following equation e ^ {3x} = 12, from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:

ln (e ^ x) = x

So:

e ^ {3x} = 12 We apply Neperian logarithm to both sides:

ln (e^{3x}) = ln (12)\\3x = ln (12)

We divide between "3" both sides of the equation:

\frac {3x} {3} = \frac {ln (12)} {3}\\x = \frac {ln (12)} {3}\\x = 0.828302217

Rounding out the nearest hundredth we have:

x = 0.83

Answer:

x = 0.83

3 0
3 years ago
Read 2 more answers
The price of a pound of cook shrimp was $3.29. how much was this to the nearest dollar?
ikadub [295]
$3 because you can not round this up to $4 because the order to rounder up you need to have more than $.50
7 0
3 years ago
Please help! 30 points ((:
KiRa [710]

Hello from MrBillDoesMath!

Answer:

a = 2.7

Discussion:

(2/3) ( 6a + 9 )  = 16.8         => the Distributive law

(2/3) (6a) + (2/3)9 = 16.8    =>

4a              + 6         = 16.8   => subtract 6 from both sides

4a                             = 16.8 -6 = 10.8     (divide both sides by 4)

a  = 10.8/4

   = 2.7

Thank you,

MrB

4 0
3 years ago
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A plot of land has an area of 1,089,000 square feet.The conversion factors between different area measures are shown below.27,87
IgorC [24]

Part A) 24.79 acres

1) Since that plot has an area of

1,089,000ft^2=1.08\times10^6ft^2

And the number of units must be between 10 and 10² units.

Part A)

\begin{gathered} 27,878,400ft^2=2.78784\times10^7ft^2=1m^2 \\ 43560ft^2\text{ =4.356 }\times10^4ft^2\text{ = 1 acre} \end{gathered}

2) Let's convert them to the apparently plausible units, see if it fits within the given interval.

\begin{gathered} \frac{1.08\times10^6}{4.356\times10^4}=24.79\text{ acres} \\ \frac{1.08\times10^6}{2.78784\times10^7}=0.03m^{2} \end{gathered}

We can see that 0.03 m² does not belong to the given interval.

3) Hence, the answer is 24.79 acres.

7 0
2 years ago
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