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3 years ago

Which statement best explains whether the table represents a linear or nonlinear function?

Mathematics

2 answers:

motikmotik3 years ago

7 0

Answer:

It is a nonlinear function because the output values are increasing at different rates.

Leni [432]3 years ago

6 0

the bush shelter

can help you well try this method

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Show that B = {[a, b) ⊂ ℝ | a < b} is a basis for a topology on ℝ

loris [4]

Answer:

Remember that a set $\mathcal{B}$ is a base for some topology on $\mathbb{R}$ if satisfy the following properties:

1. $\mathbb{R}=\cup\{B: B\in\mathcal{B}\}$

2. For $B, B^* \in \mathcal{B}$ , If $p\in B\cap B^*$ then exist $B_p\in\mathcal{B}$ such that $p\in B_p\subset B\cap B^*$ .

Now, for $B=\{[a,b)\subset\mathbb{R}| a < b\}$ we verify the above properties:

1. It's clear that $\mathbb{R}=\cup_{a,b \text{ with }a$

2. Let $B=[a,b), B^*=[c,d) \in \mathcal{B}, p\in B\cap B^*$ . Without loss of generality suppose that $a$ . Then $c\leq p < b$ , this implies that $p\in[c,b)$ and $B_p=[c,d) \in \mathcal{B}$ and $B_p\subset B\cap B^*$ .

Then, B satisfy the two properties. This show that B is a basis for a topology in $\mathbb{R}$

6 0

3 years ago

105,000,000 written in scientific notation would be:

Natali5045456 [20]

Answer:

1.05 x 10 to the 8th power

Step-by-step explanation:

5 0

3 years ago

The sum of a number and its reciprocal is equal to 4 times the reciprocal. Find the number.

shepuryov [24]

X + (1/x) = 4*(1/x)
(x^2 +1)/x = 4/x
x^2+1=4
x^2 = 3

x= 3^(1/2)

7 0

3 years ago

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

grigory [225]

Answer:

e. obtaining data with a small p-value.

Step-by-step explanation:

In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.

The decision depends on the pvalue:

If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.

So the correct answer is given by option e.

5 0

2 years ago

It takes 8,000 pounds of sand to make a beach volleyball court. If the organizers of a tournament purchase 24,000 pounds of sand

Alja [10]

Answer:

3 courts

Step-by-step explanation:

8,000 = 1 court

24,000 = x courts

8,000 x ? = 24,000

8,000 x <u>3</u> = 24,000

1 x 3 = 3 courts

6 0

2 years ago