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ella [17]
3 years ago
9

24 = y + 19 y = ? ..

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

y  =  \frac{6}{5}

Decimal Form:

y  =  1.2

Mixed Number Form:

y  =  1/5

lyudmila [28]3 years ago
5 0
24=y+19
-19=y
————
5=y
Y=5
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Step-by-step explanation:

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, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1
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Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function :  f(n+1)=-2f(n)+8 and  f(1) = 1 for n ≥ 1

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For n=1  , f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7

For n=2  , f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1

For n=3  , f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7

For n=4  , f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1

Hence, the  first five terms of the given sequence are 1, 7, 1, 7, 1.

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Given that u =&lt; 2,12 &gt;, and z =&lt; -7,5 &gt;
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
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