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Travka [436]
3 years ago
12

Express this number in standard form 5.301 x 107 = ?

Mathematics
1 answer:
defon3 years ago
7 0

Answer:

The answer is 567.207

Step-by-step explanation:

I got the answer by multiplying 5.301 by 107.So then I got 567.207.

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3 years ago
A new york city taxi charges $3 per ride plus an additional $0.50 per mile which function below shows how to calculate the total
RideAnS [48]

Answer: The correct answer is Choice C.

Step-by-step explanation: The cost of the ride is .50 per mile, plus $3.00 for each ride. In order to calculate it, the correct formula is going to multiply the number of miles, represented by x, by .50, and then add $3 for the ride.

Choice C is doing just that. $.50x + $3

4 0
3 years ago
Graph a parabola whose x-intercepts are at x=-3 and x=5 and whose minimum value is y=-4
docker41 [41]

Answer:

(See explanation for further details)

Step-by-step explanation:

The standard equation of the parabola is:

y + 4 = C \cdot (x-k)^{2}

The formula is now expanded into a the form of a second-order polynomial:

y + 4 = C\cdot x^{2} -2\cdot C\cdot k \cdot x +C\cdot k^{2}

y = C\cdot x^{2} - (2\cdot C \cdot k) \cdot x + (C\cdot k^{2}-4)

The general equation of the second-order polynomial is:

x = \frac{2\cdot C \cdot k \pm \sqrt{4\cdot C^{2}\cdot k^{2}-4\cdot C\cdot (C\cdot k^{2}-4)}}{2\cdot C}

x = k \pm \frac{\sqrt{C^{2}\cdot k^{2}-C^{2}\cdot k^{2}+4\cdot C}}{C}

x = k \pm 2\cdot \frac{\sqrt{C}}{C}

x = k \pm \frac{2}{\sqrt{C}}

The equations to be solved are presented herein:

-3 = k -\frac{2}{\sqrt{C}}

5 = k + \frac{2}{\sqrt{C}}

Now, the solution of the system is:

-3 +\frac{2}{\sqrt{C}} = 5 -\frac{2}{\sqrt{C}}

\frac{4}{\sqrt{C}} = 8

\sqrt{C} = \frac{1}{2}

C = \frac{1}{4}

k = 5 - \frac{2}{\sqrt{\frac{1}{4} }}

k = 1

The equation of the parabola is:

y = \frac{1}{4}\cdot (x-1)^{2} -4

Lastly, the graphic of the function is included as attachment.

3 0
3 years ago
Please help me, which of the following sets of ordered pairs is a function?
Anni [7]
Function means no x value repepetes with a differnt y value
(x,y)
first numbers never repeat


first one, the x values repeat
2nd, x values rpeat
3rd, no repeat
4th, -3 repeats

answer is 3rd option
4 0
3 years ago
Find the surface area of the rectangular prism.
finlep [7]
I think this is the right answers i am not sure tho

8 0
3 years ago
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