Answer:
the correct answer would be b)8.2
Step-by-step explanation:
Cos(Ф) - 2sin(Ф).cos(Ф) =0
Factorize--> cos(Ф)[ 1-2sin(Ф)] =0
a) cos(Ф) = 0 ==> Ф= 0 or (0+2kπ)
b) 1-2sin(Ф) =0 ==> -2sin(Ф) = - 1 ==> sin(Ф) =1/2 Or
sin(Ф) = 1/2 ==> Ф =π/3 OR π/3 + (k+1)π/3
The correct answer to this question is A. 9.4 x
, 9.25 x
, 2.5 x
, 7 x
Explanation:
These numbers are written in scientific notation. In this system, the exponent shows the number of spaces the period has been moved to make the number shorter. Additionally, a positive exponent shows the number has a certain number of digits to the right, while a negative exponent shows the number has digits to the left. In this way, the numbers presented can be converted as:
9.4 x
= 0.000000094 (Exponent indicates eight spaces to the left)
9.25 x
= 0.00000925 (Exponent indicates six spaces to the left)
2.5 x
= 2500 (Exponent indicates three spaces to the right)
7 x
= 7000 (Exponent indicates three spaces to the right)
Let x = the first numberLet y = the second number x + y = 23 eq1 y = 23- x
xy = Product eq2
Substitute eq1 into eq2. Lets get eq2 in terms of x.
Product = x(23 - x)Product = - x2 + 23x
we must find the vertex has coordinate (h, k). h = -b / 2a where:a = -1b = 23
h= -23 / -2 = 11.5
<span>x = 11.5
</span>Substitute this value of x into eq1 to find y. y = 23 - xy = 23 - 11.5y = 11.5
<span>The two numbers that will give the largest product possible are 11.5 and 11.5.</span>
Step-by-step explanation:
she gives each of her children $25 each,if Raul spends $15 then he would have $10 left.