Answer:
The characteristic of a logarithm is the number to the left of the decimal.
(The characteristic is like an exponent).
We are working with base 3 logs.
So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.
Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.
1.8928 +2 = 3.8928
Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.
Step-by-step explanation:
Answer:
C≈27 feet
Step-by-step explanation:
A=πr²
A/π=r²
√A/π =r or –√A/π=r (refused)
then r =√(A/π) =√(58/π) =4.297829403 feet
C=2πr=2π(4.297829403)=27.00405856≈27 feet
The given function are
r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>
(w*r)(x) = -x³ + 2x² + 2x - 4</span>
<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>
As shown in the graph the range of <span>
(w*r)(x) is (-∞,∞)</span>
Answer:
b 24/25
Step-by-step explanation:
SOHCAHTOA
tan is Opposite over Adjacent sides of the triangle from the perspective of angle A
so the opposite side was 24 and the adjacent side was 25
so the answer is 24/25 aka B
Answer:
The x-axis is always the the horizontal axis which represents the independent variable
The y-axis is always the vertical axis which represents the dependent variable
Hope this helps!