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Firlakuza [10]
3 years ago
5

Question #2:

Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

\$17.59\ per\ hour

Step-by-step explanation:

we know that

The Susan's hourly wage, must be equal at least to the sum of her monthly household expenses divided by the number of hours worked at month

Remember that

1\ year=52\ weeks\\1\ year=12\ months

She works 40 hours  per week

so

40(52)=2,080\ hours\ per\ year

2,080/12=\frac{520}{3}\ hours\ per\ month

<em>Find out the monthly household expenses</em>

Sum all the expenses

Rent+ Monthly Bills+Entertainment and Food+Savings

substitute the values

\$875+\$1,276+\$648+\$250=\$3,049

Find out the hourly wage

\$3,049:\frac{520}{3}\ hours=\$17.59\ per\ hour

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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
What is the volume of a rectangular prism with length 12 in., height 16 in., and width 13 in.?
Lilit [14]

Answer:

2496in3

Step-by-step explanation:

12x16x13=2496in3

7 0
3 years ago
Read 2 more answers
The weight of an object on the moon varies directly as its weight on Earth. With all of his gear on, Neil Armstrong weighed 360
babymother [125]

amistre64 Medals 0
e = k.m
360 = k.60
k = 360/60 = 36/6 = 6
108 = 6.m
108/6 = m = 18 
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4 years ago
If f(x) - 3x? and g(x) = x+2, find (f•g)(x).
hammer [34]

Answer:

-3x^{2} -6x

Step-by-step explanation:

f(x)= - 3x

g(x) = x+2

(f•g)(x)

f(x) • g(x)

plug in

-3x • x+2

-3x(x+2)

distribute the -3x

-3x^{2} -6x

hope this helps!

6 0
3 years ago
Can anybody check this for me if this is or right? or if i need to add some more ?
ss7ja [257]

Answer:

Looks good to me

Step-by-step explanation:

I checked for an incorrect answer and it seems like you got everything right :)

8 0
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