3 years ago

A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.

Mathematics

1 answer:

fomenos3 years ago

5 0

Y = .7x + 29

x = miles driven and, y = total cost of renting the truck

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Mark the congruent parts of the triangles and complete the proof

eimsori [14]

1) given

2) definition of an angle bisector

3) reflexive

4) $\triangle ABD \cong \triangle CBD$ (ASA)

5) $\angle A \cong \angle C$ (CPCTC)

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1 year ago

What is 17,210,000,000 written in scientific notation? Enter your answer in the box.

Leni [432]

That's easy 172.1 times 10 with the exponent of 7
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2 years ago

Gail can use her 12% employee discount once a week. Last Sunday, she bought a $45 sweater at 1/3 off and used her discount on th

NNADVOKAT [17]

Statement 1 : Gail bought a $45 sweater at 1/3 off.

<u>Discount in Sweater Purchase:</u>

$\frac{1}{3} \; of \; 45 = \frac{1}{3} \times 45 \; = \;\frac{45}{3} =\$15$

Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.

Discount in Suit Purchase:

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Conclusion:

<u>Discount in Suit Purchase ($16.8) is greater than Discount in Sweater Purchase ($15)</u>

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2 years ago

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There 3/4 of pie left, it 4 friends wanted to share the pie equally, how much each friend receive?

elena-14-01-66 [18.8K]

Answer: 3/16
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3/16

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2 years ago

Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) who

Arturiano [62]

We have

$(-3xy^2+y)_y=--6xy+1$

and

$(-3x^2y+x)_x=-6xy+1$

so the equation is indeed exact. So we want to find a function $F(x,y)=C$ such that

$F_x=-3xy^2+y$

$F_y=-3x^2y+x$

Integrating both sides of the first equation wrt $x$ gives

$F(x,y)=-\dfrac32x^2y^2+xy+f(y)$

Differentiating both sides wrt $y$ gives

$F_y=-3x^2y+x=-3x^2y+x+f_y\implies f_y=0\implies f(y)=C$

So we have

$F(x,y)=-\dfrac32x^2y^2+xy+C=C$

$F(x,y)=\boxed{-\dfrac32x^2y^2+xy=C}$

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3 years ago