2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
Answer:
The Chef will prepare 320 soups for a large banquet
Step-by-step explanation:
chef thinks that 2 out of every 5 dinner guests will order soup
===> Order soup / total number of attender
= 2/5
Total guest = 800 ==> 4 people ordered soup is
2 /5 = x /800
cross multiplying
x = 2 x 800 / 5
= 320
The Chef will prepare 320 soups for a large banquet
Since you have to move the decimal point the the right by 7 places to get the decimal point after the one. You must multiply by 1/10 seven times, which is the same as:
10^-7
Answer:
<h2>Leah is actually wrong, because those rectangles are similar.</h2>
Step-by-step explanation:
Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.
In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.


As you can observe, both ratios are equal.
Therefore, those rectangles are congruent.
Answer: Parallel
Step-by-step explanation:
Set your -2x+10y=5 equation equal to y
-2x+10y=5
<u> -10y -10y</u>
-2x=5-10y
<u>-5 -5 </u>
<u>-2x-5</u>+<u>-10y</u>
-10 -10 -10
-1/5x-1/2=y
Now you can put your equations into your graphing calculator and examine the lines made
(if you dont have one search up <em>online graphing calculator</em> on google or your app store)