Answer:
Second option: 
Third option: 
Fifth option:
Step-by-step explanation:
By definition, a perfect square trinomial can be obtained by squaring binomials.
Then:

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.
Therefore, the products result in a perfect square trinomial are:



Answer: 
Step-by-step explanation: Given expression
.
The first factor
has a degree of : 2 because power of a is 2.
The second factor
has a degree of : 3 because power of a is 3.
The third factor
has a degree of : 2 because highest power of a is 2.
Let us multiply them now:

First we would multiply
.
According to product rule of exponents, we would add the powers of a.
Therefore,

Now, we need to distribute
over 
Therefore,

=
Highest power of resulting polynomial
is 7.
Therefore, The product has a degree of 7.
Because the values of both functions is 0 at ∅ = 0, both have an equilibrium position of 0.
Next, we can use the given value of f(∅) to find the amplitude:
4 = Asin(π/4)
4 = A(√2 / 2)
A = 8 / √2
We halve this amplitude to find the amplitude of g(∅):
A = 4 / √2
The period is 2π/2 = π
g(∅) = 4sin(∅/2) / √2
Answer:
10Oz = 7 , 14Oz = 16, 20 OZ = 6
Step-by-step explanation:
There three equations that can be made here based on given data
Let number of 10 Oz cup be x
Let number of 14 Oz cup be y
Let number of 20 Oz cube be z
we can see that
x+y+z=29 ----- (i)
.95x + 1.15y + 1.5z = 34.05 ---- (ii)
10x+ 14y + 20z = 414 ---- (iiI)
We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)
x= 7
y=16
z=6
Answer:
The amount that should be in the account after 15 years is $95,321.85
Step-by-step explanation:
According to the given data, we have the following:
monthly amount of $220=R
interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017
t=15years×12=180 months
In order to calculate how much should be in the account after 15 years, we would have to use the following formula:
Ap=<u>R(1-(1+i)∧-t)</u>
i
Ap=<u>220(1-(1+0.0017)∧-180)</u>
0.0017
Ap=<u>162,04</u>
0.0017
Ap=$95,321.85
The amount that should be in the account after 15 years is $95,321.85
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