1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lukranit [14]
3 years ago
12

An auto mechanic ordered eight car spark plugs and four truck spark plugs. Car spark plugs cost $.75, and truck spark plugs cost

$3.00 apiece. Use the distributive property to find the total cost of these parts.
Mathematics
1 answer:
Sidana [21]3 years ago
7 0
$.75(8) + $3.00(4) =
$6 + $12 = $18
You might be interested in
.<br> What is the surface area of this figure?
algol13

Answer:

144 km

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
37. Verify Green's theorem in the plane for f (3x2- 8y2) dx + (4y - 6xy) dy, where C is the boundary of the
Nastasia [14]

I'll only look at (37) here, since

• (38) was addressed in 24438105

• (39) was addressed in 24434477

• (40) and (41) were both addressed in 24434541

In both parts, we're considering the line integral

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy

and I assume <em>C</em> has a positive orientation in both cases

(a) It looks like the region has the curves <em>y</em> = <em>x</em> and <em>y</em> = <em>x</em> ² as its boundary***, so that the interior of <em>C</em> is the set <em>D</em> given by

D = \left\{(x,y) \mid 0\le x\le1 \text{ and }x^2\le y\le x\right\}

• Compute the line integral directly by splitting up <em>C</em> into two component curves,

<em>C₁ </em>: <em>x</em> = <em>t</em> and <em>y</em> = <em>t</em> ² with 0 ≤ <em>t</em> ≤ 1

<em>C₂</em> : <em>x</em> = 1 - <em>t</em> and <em>y</em> = 1 - <em>t</em> with 0 ≤ <em>t</em> ≤ 1

Then

\displaystyle \int_C = \int_{C_1} + \int_{C_2} \\\\ = \int_0^1 \left((3t^2-8t^4)+(4t^2-6t^3)(2t))\right)\,\mathrm dt \\+ \int_0^1 \left((-5(1-t)^2)(-1)+(4(1-t)-6(1-t)^2)(-1)\right)\,\mathrm dt \\\\ = \int_0^1 (7-18t+14t^2+8t^3-20t^4)\,\mathrm dt = \boxed{\frac23}

*** Obviously this interpretation is incorrect if the solution is supposed to be 3/2, so make the appropriate adjustment when you work this out for yourself.

• Compute the same integral using Green's theorem:

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy = \iint_D \frac{\partial(4y-6xy)}{\partial x} - \frac{\partial(3x^2-8y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^1\int_{x^2}^x 10y\,\mathrm dy\,\mathrm dx = \boxed{\frac23}

(b) <em>C</em> is the boundary of the region

D = \left\{(x,y) \mid 0\le x\le 1\text{ and }0\le y\le1-x\right\}

• Compute the line integral directly, splitting up <em>C</em> into 3 components,

<em>C₁</em> : <em>x</em> = <em>t</em> and <em>y</em> = 0 with 0 ≤ <em>t</em> ≤ 1

<em>C₂</em> : <em>x</em> = 1 - <em>t</em> and <em>y</em> = <em>t</em> with 0 ≤ <em>t</em> ≤ 1

<em>C₃</em> : <em>x</em> = 0 and <em>y</em> = 1 - <em>t</em> with 0 ≤ <em>t</em> ≤ 1

Then

\displaystyle \int_C = \int_{C_1} + \int_{C_2} + \int_{C_3} \\\\ = \int_0^1 3t^2\,\mathrm dt + \int_0^1 (11t^2+4t-3)\,\mathrm dt + \int_0^1(4t-4)\,\mathrm dt \\\\ = \int_0^1 (14t^2+8t-7)\,\mathrm dt = \boxed{\frac53}

• Using Green's theorem:

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dx = \int_0^1\int_0^{1-x}10y\,\mathrm dy\,\mathrm dx = \boxed{\frac53}

4 0
3 years ago
I need help with this question The orange and blue lines represent different linear functions. Write the color of the line that
pychu [463]

Answer:

blue

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Allie and Sam are ophthalmologists. Allie found that 40% of the 170 patients she saw in a week were near sighted. Sam found that
Hatshy [7]

Answer:

Allie: 68  Sam: 59

Step-by-step explanation:

You take 40% from 68 and 25% from 236 and boom.

3 0
3 years ago
Read 2 more answers
Line segment AB has endpoint A locates at the origin. Line segment AB is longest when the coordinates of B are
Nana76 [90]

im pretty sure the answer is C


6 0
3 years ago
Other questions:
  • Margo used 864 beads to make necklaces for the art club. She made
    15·2 answers
  • Write the following as a single sine or cosine function of an angle
    9·2 answers
  • What is a unit fraction
    7·2 answers
  • A mole dogs 60 feet and takes a break.Then it digs 130 feet and takes another break.Then it digs 28 feet and takes a break.Final
    5·2 answers
  • Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide -
    13·1 answer
  • Please Help!!! I NEED THIS ASAP
    5·1 answer
  • 78 is 65% of what number (can someone explain how to solve this?)<br>​
    10·1 answer
  • Blank divided by 8= 6 remainder 2
    9·1 answer
  • Jan's flower garden has only daffodils and tulips
    10·1 answer
  • PLEASE SOLVE AND EXPLAIN !!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!