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Grace [21]
2 years ago
5

Explain how you would know log3100 is between 4 and 5 without the use of a calculator.

Mathematics
1 answer:
natulia [17]2 years ago
6 0
\log{3100}=\log{(100\times 31)}=\log{100}+\log{31}=\log{10^2}+\log{31}=
\\ =2\log{10}+\log{31}=2\times1+\log{31}=2+\log{31}
\\
\\ 2+\log{10}\ \textless \ 2+\log{31}\ \textless \ 2+\log{100}
\\ 2+\log{10}\ \textless \ 2+\log{31}\ \textless \ 2+\log{10^2}
\\ 2+\log{10}\ \textless \ 2+\log{31}\ \textless \ 2+2\log{10}
\\ 2+1\ \textless \ 2+\log{31}\ \textless \ 2+2\times 1
\\ 3\ \textless \ 2+\log{31}\ \textless \ 4
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Work out the area of the circle and leave it in cm plz
Marat540 [252]

Answer:

132.7495 cm^2

Step-by-step explanation:

area of circle=πr^2

radius=6.5

6.5^2

42.25

42.25*3.142

132.7495

5 0
2 years ago
Read 2 more answers
How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




7 0
2 years ago
Convert 17.47° to degrees, minutes, and seconds..
never [62]
For this question, this might help.
17.47 degrees is 17 + 0.47 degrees
If you are using minutes instead of decimal degrees, multiply the fraction by 60. So,

0.47 degrees * 60 minutes per degree= 28.2 minutes

Now you have 17 degrees 28.2 minutes but you can replace fractions of a minute with seconds
 
0.2 minutes * 60 seconds per minute= 12 seconds

So the answer for 17.47º is equal to 17º 28' 12".

I hope this helps.

7 0
3 years ago
I really need help anyone please
icang [17]
(15x^3y^-8)÷(5x^2y^-4)
= 3xy^-4

(3x)/ y^4
4 0
3 years ago
Calculate simple interest :
Elodia [21]

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

5 0
3 years ago
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