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drek231 [11]
3 years ago
9

which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rationa

l and whole numbers​
Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:This number belongs to a set of numbers that mathematicians call rational numbers. Rational numbers are numbers that can be written as a ratio of two integers. ... square root of a number that is not a perfect square, for example , is irrational. ... The set of real numbers is all the numbers that have a location on the number ...

Step-by-step explanation:

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Write each number as a logarithm with base 2:-3
expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

brainly.com/question/20785664

#SPJ1

7 0
1 year ago
The rate at which a duck gains weight is proportional to the difference between its adult weight and its current weight. At time
kogti [31]
DB/dt = 1/5(100 - B)
5/(100 - B) dB = dt
-5 ln (100 - B) = t + C
Since B(0) = 20, then
-5 ln (100 - 20) = C
i.e. C = -5 ln 80

Thus -5 ln (100 - B) = t - 5 ln 80
or t = 5 ln 80 - 5 ln (100 - B) = 5 ln (80 / (100 - B))

When the weight = 40 grams
t = 5 In (80 / 100 - 40) = 5 In (80 / 60) = 5 ln (4/3) = 1.438 days
Rate of weight gain = 40 / 1.438 = 27.8 grams per day

When the weight = 70 grams
t = 5 ln (80 / 100 - 70) = 5 ln (80 / 30) = 5 ln (8/3) = 4.9 days
Rate of weight gain = 70/4.9 = 14.27 grams per day.

Therefore, the duck gains weight faster when it weighs 40 grams.
6 0
3 years ago
Thanks for the help!
labwork [276]

Answer:

Step-by-step explanation:

Mn

3 0
3 years ago
Help PLEASE I GIVE POINTS ​
soldi70 [24.7K]

Answer:

107

Step-by-step explanation:

A circle is 360 degrees, so subtract 53,110, and 90 (right angle) from that.

5 0
3 years ago
Read 2 more answers
Need help please show work
Viefleur [7K]

Answer:

2434.235983

356794.4755

14.5

Step-by-step explanation:

Let's start by finding the effective rate

.054/12= .0045

and then the payment

433500=x\frac{1-(1+.0045)^{-30*12}}{.0045}\\x=2434.235983

There are two ways to find the unpaid balance (we also call this the oustanding loan balance). For this question (because all payments are equal) I am going to use the prospective method. The prospective method states that the outstanding loan balance is just the present value of the remaining payments

If 10 years have passed there are 20*12 payments and so we just need to find the present value of that

2434.235983*\frac{1-(1+.0045)^{-20*12}}{.0045}=356794.4755

2.) We have the new loan amount (356794.4755) and so now we just need to calculate how long it will take it pay it off at a different rate

new effective rate: .024/12 = .002

356794.4755=2434.235983*\frac{1-(1+.002)^{-12x}}{.002}\\.70685301=1.002^{-12x}\\\log_{1.002}.70685301=-12x\\x=14.5

6 0
3 years ago
Read 2 more answers
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