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3 years ago

Multiply. Write your answer in simplest form. 3/8 x 5/7

Mathematics

2 answers:

Ivahew [28]3 years ago

7 0

Answer:

What the other person said

Step-by-step explanation:

Lunna [17]3 years ago

6 0

Answer:

15/56

Step-by-step explanation:

3*5=15 * 8*7=56

15/56

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Find the total area of the regular pyramid? T.A.=

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Which of the following statements is false?

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3 years ago

Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex

almond37 [142]

Answer:

$f: (0,1) \to \mathbb{R}$

$f(x) = \sin(1/x)$

Step-by-step explanation:

f is continuous because is the composition of two continuous functions:

$g(x) = \sin(x)$ (it is continuous in the real numbers)

$h(x) = 1/x$ (it is continuous in the domain (0,1))

It is bounded because $-1 \leq \sin(\theta) \leq 1$

And it is not uniformly continuous because we can take $\varepsilon = 1$ in the definition. Let $\delta > 0$ we will prove that there exist a pair $x,y\in \mathbb{R}$ such that $|x-y|< \delta$ and $|f(x) -f(y)|> \varepsilon = 1$ .

Now, by the archimedean property we know that there exists a natural number N such that

$\frac{1}{N} < 2\pi \delta$

$\Rightarrow \frac{1}{2\pi N} < \delta$ .

Let's take $x = \frac{1}{2\pi N + \pi/2}$ and $y = \frac{1}{2\pi N + 3\pi/2}$ . We can see that

$|x-y| = \frac{1}{2\pi N + \pi/2}-\frac{1}{2\pi N + 3\pi/2}$

And also:

$|f(x)- f(y)| = |f(2\pi N + \pi/2) - f(2\pi N + 3\pi/2)| = |1 - (-1)| = 2 > \varepsilon$

And we conclude the proof.

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3 years ago

One nanometer is about 0.00000003937 of an inch. what is this number in scientific notation?

sammy [17]

0.00000003937 = 3,937 * 10^-8

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3 years ago

A line of best fit is drawn for the set of points shown on the graph. Which point is an approximate extrapolation for x = 30 fro

Goshia [24]

Answer with explanation:

Equation of Linear Regression line is

y=1.14 x + 3.805

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

So, Ordered pair is , (30,38)

Option B

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3 years ago

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