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Aleks [24]
3 years ago
6

A pair of vertical angles have measures (2z+43) and (-10z+25). What is the value of z? A. -3/2 B. -11/4 C. -14 D. -31

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
Z=-3/2

so the answer is A
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The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled
Alex73 [517]

Answer:

  [50, 410]

Step-by-step explanation:

If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.

If the plumber works 8 hours, his hourly charge of 8×$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.

The range of the function is $50 to $410.

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Step-by-step explanation:

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3 years ago
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Natalka [10]

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3 years ago
Consider the functions below. f(x, y, z) = x i − z j + y k r(t) = 4t i + 6t j − t2 k (a) evaluate the line integral c f · dr, wh
fredd [130]

With

\vec r(t)=4t\,\vec\imath+6t\,\vec\jmath-t^2\,\vec k

we have

\mathrm d\vec r=(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt

The vector field evaluated over this parameterization is

\vec f(x,y,z)=\vec f(x(t),y(t),z(t))=4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k

so the line integral is

\displaystyle\int_{-1}^1(4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k)\cdot(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt

=\displaystyle\int_{-1}^1(16t+6t^2-12t^2)\,\mathrm dt=-4

6 0
3 years ago
Terrance picked 54 apples. He kept a apples for himself and gave each of 6 friends an equal number of apples. How many apples di
pentagon [3]

we are given

total number of apples =54

Let's assume each friend receives =x

He kept a apples for himself and gave each of 6 friends an equal number of apples

so, we will get equation as

6x=54

now, we can solve for x

x=9

each friend receives is 9 apples.........Answer

3 0
4 years ago
Read 2 more answers
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