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Levart [38]
4 years ago
9

Plato Necessities produces camera cases. they have found that the cost, c (x), of making x camera cases is a quadratic function

in terms of x. the company also discovers that it costs $28 to produce 2 camera cases, $50 to produce 4 camera cases, and $140 to produce 10 camera cases. find the total cost of producing 12 camera cases.
Mathematics
1 answer:
Phoenix [80]4 years ago
3 0
This answer has been deleted.
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Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither".
Irina18 [472]

Answer:

1.Orthogonal

2.Parallel

3.Neither

Step-by-step explanation:

We have to find pair of vectors are parallel , orthogonal or neither.

1.a=(-3,3,-5) and b=(-6,6,36/5)

We know that when vectors are parallel then,

\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}

When vectors are orthogonal then,

a_1a_2+b_1b_2+c_1c_2=0

\frac{a_1}{a_2}=\frac{-3}{-6}=\frac{1}{2}

\frac{b_1}{b_2}=\frac{3}{6}=\frac{1}{2}

\frac{c_1}{c_2}=\frac{-5\times 5}{36}=-\frac{25}{36}

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

Hence, the vectors are not parallel.

a_1a_2+b_1b_2+c_1c_2=-3(-6)+3(6)+(-5)(\frac{36}{5})=18+18-36=0

Hence, the vectors are orthogonal.

b.a=(-3,3,-5), b=(-6,6,-10)

\frac{a_1}{a_2}=\frac{-3}{-6}=\frac{1}{2}

\frac{b_1}{b_2}=\frac{3}{6}=\frac{1}{2}

\frac{c_1}{c_2}=\frac{-5}{-10}=\frac{1}{2}

\frac{a_1}{a_2}=\frac{b_1}{b_2}= \frac{c_1}{c_2}

Hence, the vectors are parallel.

3.a=(-3,3,-5) and b=(12,-12,19)

a_1a_2+b_1b_2+c_1c_2=-3(12)+3(-12)+(-5)(19)=-36-36-95\neq 0

Hence, the vectors are not orthogonal.

\frac{a_1}{a_2}=\frac{-3}{12}=-\frac{1}{4}

\frac{b_1}{b_2}=-\frac{3}{12}=-\frac{1}{4}

\frac{c_1}{c_2}=\frac{-5}{19}

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

Hence, the vectors are not parallel.

8 0
3 years ago
25<br> What is the solution to the equation 12(x+5) = 4x?
goblinko [34]

Answer:

x = -7.5

Step-by-step explanation:

12(x+5) = 4x

12x+ 60 = 4x

60 = -8x

-7.5 = x

5 0
3 years ago
List Things you could measure in milliliters and liters.<br><br><br> Help , thanks
ASHA 777 [7]

you could use measuring cups


8 0
3 years ago
6÷2(1+2) = x
Korolek [52]

Answer:

X =9

Step-by-step explanation:

6 \div 2(1 + 2) = x \\  6 \div 2(3) = x \\ x =  \frac{6}{2}  \times 3 \\  x = 3 \times 3 \\ x = 9

4 0
3 years ago
Evaluate |-2.3| plz need help immeaditly !!!
Fiesta28 [93]
The absolute value is always positive, so the answer is 2.3
7 0
4 years ago
Read 2 more answers
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