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2 years ago

Find the average rate of change from x = -6 to x= -1

Mathematics

1 answer:

marshall27 [118]2 years ago

8 0

Answer:

the change is +5 because -6+5=-1

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In a stack of 100 newspapers, the comic section is missing from 60 papers. Lexie buys two papers from the stack. What is the pro

Dimas [21]

<h2>Order does not matter no repetition:</h2><h2>40 papers contain the comic section:</h2>

<h3>Number of combinations:</h3>

$40c2 = 780 \: combinations$

<h3>Total number of combinations:</h3>

$100c2 = 4950 \: combinations$

$p(a) = \frac{780}{4950} = 0.15757575757$

8 0

2 years ago

Read 2 more answers

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

Vladimir [108]

Answer:

$cos^2\theta + sin^2\theta = 1$

Step-by-step explanation:

Given

$(\frac{b}{r})^2 + (\frac{a}{r})^2$

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2$

Going by the Pythagoras theorem, we can assume the following.

a = Opposite
b = Adjacent
r = Hypothenuse

So, we have:

$Sin\theta = \frac{a}{r}$

$Cos\theta = \frac{b}{r}$

Having said that:

The expression can be further simplified as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$

Substitute values for sin and cos

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$ becomes

$cos^2\theta + sin^2\theta = 1$

3 0

3 years ago

How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000

SVEN [57.7K]

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

4 0

2 years ago

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

pogonyaev

Answer:

Step-by-step explanation:

The question is not biased. It doesn't push the participants to answer one way or another.

However, the sample is biased. It does not represent the population.

The first and fourth options are correct.

5 0

3 years ago

Please help ASAP!!

marta [7]

Answer:

D. NM=12; mK=70°

Step-by-step explanation:

KN≈KM so they have the same 55° and then

180°-55°-55°=70° and

6*2=12

3 0

3 years ago