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3 years ago

Write the rule of this pattern 5,20,80,320

Mathematics

2 answers:

Luden [163]3 years ago

6 0

Times 4 because, 5 times 4 is 20, 20 times 4 is 80 and so on.

Illusion [34]3 years ago

4 0

Multiply 4 for each number

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The base of a 12-foot ladder is 5 feet from a building. To the nearest degree, what angle does the ladder make with the ground?

hoa [83]

Cos x=5/12. Solve for x which is 65.37 degrees.

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2 years ago

If log2(13-8x)-log2(x^2+2)=2, what is the value of (13-8x/x^2+2)

suter [353]

Answer:

Step-by-step explanation:

There is a rule for logarithms that says:

$\log(a)-\log(b)=\log(\frac{a}{b})$ .

This is actually called quotient rule and it's name is based off the right hand side of the equation there.

So you have that you can write your right hand side as:

$\log_2(\frac{13-8x}{x^2+2})$ .

So your equation is:

$\log_2(\frac{13-8x}{x^2+2})=2$

Now let's write this in the equivalent exponential notation:

$2^2=\frac{13-8x}{x^2+2}$

So the value of the given fraction is $2^2=4$ .

Note! In general, the equivalent exponential form of $\log_b(x)=y$ is $b^y=x$ .

6 0

3 years ago

Graph 12x=4y-28 algebra 2

notka56 [123]

Answer:

see below

Step-by-step explanation:

A graphing calculator does this very nicely.

___

If I were graphing by hand, I might divide by 4 and add 7 to get ...

y = 3x +7

Now, you know the slope is 3 and the y-intercept is 7. Another point can be found by going left 1 and down 3 from the y-intercept, or left 2 and down 6 as shown on the attached graph. The line can be drawn through those points.

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3 years ago

Today, everything at a store is on sale. The store offers a 15% discount. The regular price of a T-shirt is $22. What is the dis

kozerog [31]

The discount price is $18.7

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2 years ago

The ratio of squirrels to pigeons in the park is 15 to 125. Which statement describes this relationship?

alexandr1967 [171]

Answer: A. There are 3 squirrels for every 25 pigeons in the park

Step-by-step explanation:

The options include:

A) There are 3 squirrels for every 25 pigeons in the park.

B) There are 3 squirrels for every 5 pigeons in the park.

C) There are 5 squirrels for every 3 pigeons in the park.

D) There are 25 squirrels for every 3 pigeons in the park.

Since the ratio of squirrels to pigeons in the park is 15 to 125. The common factor we have here is 5. We can then divide the figures given by 5. This will be:

= 15/125 = (15/5)/(125/5) = 3/25

This mean that for every 3 squirrels, there are 25 pigeons in the park.

Therefore, the correct answer is A.

6 0

2 years ago