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Allisa [31]
3 years ago
7

I need help with questions 1,2, and 3. Would gratefully appreciate it (:

Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

Step-by-step explanation:

(2):

First let's organise the data:

33 miles ... x mph ... 4h - downstream

33 miles ... y mph ... 7h - up the stream

x = 33/4 = 8.25 mph

y = 33/7 = 4.71 mph

(3)

P(x) = x^2 - 2x - 3

To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.

x^2 - 2x - 3 = 5\\x^2 - 2x - 8 = 0\\x_1 = 4, x_2 = -2

Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.

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Answer:

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3 years ago
If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

5 0
3 years ago
Which equation applies the associative property of multiplication? ​(−14−53)−35=−14−(53−35)​ ​ (−78⋅25)+(−78⋅35)=−78⋅(25+35) ​ ​
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It is the third equation: −512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)

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7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Svetllana [295]
Vertex form is
y = a {(x - h)}^{2}  + k
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
y =  -  {(x - 2)}^{2}  + 0
which is answer A
7 0
3 years ago
Read 2 more answers
At a construction site, a builder plans to cut down an 8-foot-by-9-foot piece of plywood. She plans to discard any pieces that s
AnnZ [28]

Answer:

12 i think

Step-by-step explanation:

6 0
3 years ago
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