Answer:
A≈530.93in²
Step-by-step explanation:
The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).
<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>
It follows from the task content that the logarithmic expression given in the task content is;
log2z + 2log2z + 4log9y + 12log9x - 2log2y
In which case, all terms are to their respective logarithmic bases.
Hence, it follows that; we have;
log2z³ - log2y² + log9y⁴ + log9x¹²
= log2(z³/y²) + log9(y⁴x¹²)
Read more on logarithm laws;
brainly.com/question/10208274
#SPJ1
Answer:
<u>8 hits</u>
Step-by-step explanation:
The ratio is :
- hits : times-at-bat = 4 : 9
Now, we have 18 times at bat.
Multiply both sides of the ratio with 2 :
- 4 x 2 hits : 9 x 2 times at bat
- <u>8 hits</u> : 18 times at bat
Harry should make <u>8 hits</u> in 18 times at bat.
I could not see the first question so i couldn't answer.
2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)
3) Just add the two angles.
x =13+19
x= 32° (Answer)
4) We must know the other angle value in order to find x. So considering both the angles are equal,
2x = 44
x= 22° (Answer)
5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°
6) Supplementary angles total 180°
Complementary angles total 90°
7)Opposite angles is equal when two straight lines intersect. So,
14x - 16 = 12x + 22
14x-12x=22+16
2x= 38
x= 19° (Answer)
8) Corresponding angles
9) 140°
Answer:
The length of the interval during which no messages arrive is 90 seconds long.
Step-by-step explanation:
Let <em>X</em> = number of messages arriving on a computer server in an hour.
The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.
The probability mass function of <em>X</em> is:

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,
P (X = 0) = 0.76
Compute the value of <em>t</em> as follows:

Thus, the length of the interval during which no messages arrive is 90 seconds long.