The power symbols are missing.
I can infere that the product intended to simplify is (7^8) * (7^-4)., because that permits you to use the rule of the product of powers with the same base.
That rule is that the product of two powers with the same base is the base raised to the sum of the powers is:
(A^m) * (A^n) = A^ (m+n)
=>(7^8) * (7^-4) = 7^ [8 + (- 4) ] = 7^ [8 - 4] = 7^4, which is the option 3 if the powers are placed correctly.
Answer:
<u>3 5 = 16</u>
<u> 3 = 3 16</u>
<u> 6 = 16</u>
<u> 6 = -4</u>
<u> x = -4/6</u>
each line has the number of boxes to be filled
Answer:
4 batches
Step-by-step explanation:
one batch calls for:
3/4 PB
1 1/2 cup SG
1 EGG
3/.75(3/4)= 4
9/1.5(1 1/2)=6
5/1= 5
The maximum number of batches she can make before running out of ingredients is 4
Volume=lengthXwidthXheight
far left— 8x8x20= 1280ft^3
middle— 60-8=52-20=32 so you find out the length of just that piece of solid
20-12=8 to find out width
8x8x32=2048ft^3
far right— 20x15x8=2400ft^3
volume of whole shape- add each value together 1280+2048+2400=5728ft^3
volume= measurement^3
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
