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gulaghasi [49]
3 years ago
5

2m+2p=16, what does p equal in terms of m

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

m=8-p

Step-by-step explanation:

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The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b
Neko [114]
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>
7 0
2 years ago
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Simplify -5^5 ÷ -5^-6
Tpy6a [65]

Answer:

5^11

Step-by-step explanation:

-5^5 ÷ -5^-6

5^5 divide 5^-6

5^11

5 0
3 years ago
The product of 8 and a number algebraic expression
dybincka [34]

Answer: 8x

Step-by-step explanation:

Product stands for multiplication, so we need to use (×)

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The product of 8 and a number

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3 0
3 years ago
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Solve the problem. Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annual
romanna [79]
The equations would be 

<span>Value: b + c = 19000
Interest: 0.07b + 0.09c = 1590

</span>0.07b + 0.09 (19,000 - b) = 1,590 
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B = 6,000 
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So the correct answer is </span><span>d. $6000 in bonds; $13,000 in certificates of deposit.
</span>
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help. 
6 0
3 years ago
Solve the equation. Check your solution. :) Thanks!
Elden [556K]

Hi!

-32 = 4b

4b = -32

b = -32 : 4

<u>b </u><u>=</u><u> </u><u>-</u><u>8</u>

3 0
2 years ago
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