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s344n2d4d5 [400]
3 years ago
14

What's the scientific notation for 0.3643

Mathematics
1 answer:
Annette [7]3 years ago
7 0
The answer to the question is as the following.

3.643 * 10^(-1)
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What is the smallest distance between the origin and a point on the graph of:y=1/sqrt(2)*(x^2-8)
AleksAgata [21]
What we are being asked here is to simply minimize distance. Also, note that we can write
f
(
x
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=
√
x
as
y
=
√
x
.
Now, what is this "distance?" How do we find it? Well, if you think back to Algebra I or Geometry, you'll remember that the distance between two points
(
x
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,
y
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and
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)
is given by:
√
(
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−
y
1
)
2
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. For example, the distance between the points
(
4
,
0
)
and
(
0
,
3
)
would be:
√
(
3
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)
2
+
(
4
−
0
)
2
=
√
9
+
16
=
√
25
=
5
Ok, so what is
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
in our example?
(
x
1
,
y
1
)
is simple - it's just the point given in the problem,
(
4
,
0
)
. Because we don't know what
x
2
is, we'll just call it
x
for now. As for
y
2
, we don't know that either; and since
y
=
√
x
, we'll call it
√
x
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Our formula then becomes:
√
(
√
x
−
0
)
2
+
(
x
−
4
)
2
=
√
(
√
x
2
)
+
x
2
−
8
x
+
16
=
√
x
+
x
2
−
8
x
+
16
=
√
x
2
−
7
x
+
16
We are being asked to minimize this distance, which we'll call
s
to make the following calculations easier. To minimize something, we have to take its derivative, so let's start there:
s
=
√
x
2
−
7
x
+
16
=
(
x
2
−
7
x
+
16
)
1
2

d
s
d
x
=
(
2
x
−
7
)
⋅
1
2
(
x
2
−
7
x
+
16
)
1
2
→
Using power rule and chain rule
d
s
d
x
=
2
x
−
7
2
√
x
2
−
7
x
+
16
Now we set this equal to
0
and solve for
x
:
0
=
2
x
−
7
2
√
x
2
−
7
x
+
16
0
=
2
x
−
7
x
=
7
2
This is known as the critical value, and it represents the
x
-value for which the function is minimized. All we need to do now is find the corresponding
y
-value, using the definition of
y
:
y
=
√
x
. Substituing
7
2
for
x
:
y
=
√
7
2

y
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And voila, the
y
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f
(
x
)
=
√
x
and the point
(
4
,
0
)
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(
1.87
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+
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3 years ago
Dylan solved the exponential equation 3x+1 = 15 and his work is shown below. What is the first step he did incorrectly?
seraphim [82]
The answer is Step 2.

The exponential equation is: 3ˣ⁺¹ = 15.
Step 1: log3ˣ⁺¹ = log15
Step 2: (x + 1) * log3 = log15
Step 3: x + 1 = log 15 / log 3
Step 4: x + 1 = 1.18 / 0.48
Step 5: x + 1 = 2.46
Step 6: x = 2.46 - 1
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3 years ago
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A recipe calls for 5/6 cup of flour Dixie wants to make 3/5 dixie currently has 3/4 cups of flour does she have enough to make t
aleksandr82 [10.1K]

Answer:

No

Step-by-step explanation:

5/6 - 3/4

20 - 12 = 8

_____ __

24 24

Cancelling out, we have

=>1/3

She does not have enough cup of flour. She needs 1/3 more to be able to make the recipe.

<em>Hope</em><em> </em><em>it helps</em><em> </em>

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The answer is a point
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