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miv72 [106K]
3 years ago
7

Angelo charges $30 to mow 1 yard. Which equation could be used to determine the total cost, y, for mowing x yards? A. y = x + 30

B. x = 30y C. x = y + 30 D. y = 30x
need answer ASAP
Mathematics
2 answers:
alexira [117]3 years ago
8 0

Answer:

D. y=30x

Step-by-step explanation:

So x represents like say if he mowed 3 yards.

y=30(3)

Then y would equal 90

diamong [38]3 years ago
5 0
D. y=30x
Explanation
I did it
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Using the graph as your guide, complete the following statement.
creativ13 [48]

Answer:

positive! HOP ITS RIGHT give brainliest

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2 years ago
A hiker is hiking in a valley. The height of the valley is h(x,y)=4x2+y2 where x and y are the east-west and north-south distanc
Ainat [17]

Answer:

A. \frac{\partial{h}}{\partial{t}}=0

Step-by-step explanation:

A. The problems asked for 2 ways to solve it, expanding the equation with the substitution  x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.

Expanding and differentiating:

We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:

h(x,y)=4x^{2}+y^{2}= 4(2cos(t))^{2}+(4sin(t))^{2}\\h(x,y)=4(4cos^{2}(t))+(16sen^{2}(t))\\h(x,y)=16cos^{2}(t)+16sen^{2}(t)=16(sen^{2}(t)+cos^{2}(t))\\h(x,y)=16

So, in the path that the hiker chose:

\frac{\partial{h}}{\partial{t}}=0

Chain rule:

We start differentiating h(x,y) using chain rule as follows:

\frac{\partial{h}}{\partial{t}}= \frac{\partial{h}}{\partial{x}}\frac{\partial{x}}{\partial{t}}+\frac{\partial{h}}{\partial{y}}\frac{\partial{y}}{\partial{t}}

Now, it´s easy to find all these derivatives:

\frac{\partial{h}}{\partial{x}}=8x\\\frac{\partial{x}}{\partial{t}}=-2sin(t)\\\frac{\partial{h}}{\partial{y}}=2y\\\frac{\partial{y}}{\partial{t}}=4cos(t)

Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:

\frac{\partial{h}}{\partial{t}}= 8x(-2sin(t))+2y(4cos(t)

\frac{\partial{h}}{\partial{t}}= 8(2cos(t))(-2sin(t))+2(4sin(t))(4cos(t)

\frac{\partial{h}}{\partial{t}}= -32cos(t)sin(t)+32sin(t)cos(t)

\frac{\partial{h}}{\partial{t}}= 0

This will be our answer

6 0
3 years ago
If element x has 27 protons, how many electrons does it have?
Alborosie
IT should have 27 electrons
3 0
3 years ago
Read 2 more answers
30 In right triangle PRT, m/P = 90°, altitude PQ is drawn to hypotenuse RT. RT = 17, and
Len [333]

Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.

<h3>What is the Cosine Ratio Formula?</h3>

The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.

Find m∠PRT in ΔPRT using the cosine ratio formula:

cos(m∠PRT) = 15/17

m∠PRT = cos^(-1)(15/17)

m∠PRT ≈ 28.07°

Find RQ in ΔPRQ using the cosine ratio formula:

cos(28.07) = RQ/15

RQ = cos(28.07) × 15

RQ ≈ 13.2

Learn more about the cosine ratio formula on:

brainly.com/question/9027282

#SPJ1

6 0
1 year ago
3. You and your family took a trip over track out that was 1.5
SCORPION-xisa [38]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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