Answer:
4^15
Step-by-step explanation:
We multiply both exponents 3 and 5
So we get:
4^15
Hope this helps
Good Luck
Answer:
J. 19.7
Step-by-step explanation:
SOH<em>(</em><em>sine = </em><em>opposite side/hypotenuse)</em> CAH TOA
sin 80° = RS/20
=> 0.985 = RS/20
=> RS = 20 × 0.985 = 19.7
To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?
=4[2(21-17)+3] Original Problem
=4[2(4)+3] Solved the Parentheses
=4[8+3] Multiplied the 2 and 4
=4[11] Added the 8 and 3
=44 Multiplied the 4 and 11
An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.
Using all of the information above, we can conclude that this expression equals 4.
Answer: x < 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.
That leaves you with -8x > -56.
To get <em>x</em> by itself, divide both sides by -8 but watch out.
If you divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
So we have x < 7.
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
