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2 years ago

Which of the below statements is correct and then explain your answer

Mathematics

1 answer:

VMariaS [17]2 years ago

8 0

Answer:

Greater than 3

Step-by-step explanation:

Logarithms explain the relationship between exponents.

Think of them as such, except they got their bases and exponents switched.

In this logarithm:

$log2(10)$

basically says 2 to the power of what gets you to 10.

Now let's experiment: 2^2=4, 2^3=8. 2^4=16.

Wait, we already crossed 10. Now we know that log2(10) must be in between 3 and 4. We don't need to find the exact value, because thats not what the question asked.

It's between 3 and 4, so it has to be greater than 3 but less than 4. Thee is your answer!

Have a nice day! :)

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For the equation 3x - 5y = -3, what is the value ofy when x is 1? 6/5 -6/5 5/6

Law Incorporation [45]

Answer:

y = 6/5

Step-by-step explanation:

3x - 5y = -3

Let x =1

3(1) - 5y = -3

3-5y = -3

Subtract 3 from each side

3-3-5y = -3-3

-5y = -6

Divide each side by -5

-5y/-5 = -6/-5

y = 6/5

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3 years ago

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Identify the rate of change and term 0 1. 3, 5, 7, 9, 11, 13, 15....

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Answer:

-1

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2 years ago

In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline

VLD [36.1K]

Answer:

The measure of the arc CD = 64°

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°

6 0

2 years ago

The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone

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Answer:

Part 1) The exponential function is equal to $y=1,350(0.95)^{x}$

Part 2) The population in 2010 was $992\ fish$

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

$a=1,350\ fish$

$b=(100\%-5\%)=95\%=0.95$

substitute

$y=1,350(0.95)^{x}$ ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

$y=1,350(0.95)^{x}$

For $x=(2010-2004)=6\ years$

substitute

$y=1,350(0.95)^{6}=992\ fish$

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3 years ago

A rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE

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Using a Graph we can determine the greatest area the rectangle can have using the midpoint between the two w-intercepts.

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3 years ago