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gulaghasi [49]
2 years ago
5

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

n, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre.
Mathematics
2 answers:
JulijaS [17]2 years ago
7 0

Answer: Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

Hope this helps!!

bija089 [108]2 years ago
6 0

Answer:

i SEE NO ONE ANSWERED THIS QUESTION SO IM GONNA ANSWER its 1/2  

Step-by-step explanation:

B

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Now imagine that instead of walking along the path 1→2→3→4→1, ann walks 80 meters on a straight line 33∘ north of east starting
stealth61 [152]

Answer:

Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j} and refer attachment.

Step-by-step explanation:

Let the origin be the point 1 from where Ann start walking.

Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,

Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)

Ann walk as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

Thus, Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

 




7 0
2 years ago
Read 2 more answers
What proportion of these candy bars have more than 300 calories per serving? (Round your answer to two decimal places.)
Hatshy [7]

Answer:  0.12

Step-by-step explanation:

There are 65 candy bars. Out of that;

2 candy bars have 300 to 350 calories

1 candy bar has 350 to 400 calories

4 candy bars have 400 to 450 calories

1 candy bar has 450 to 500 calories

The total proportion out of 65 candy bars that have over 300 calories is;

= ( 2 + 1 + 4 + 1) / 65

= 8/65

= 0.12

3 0
2 years ago
Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.Lian correctly wrote
Vanyuwa [196]
Both gyms charge the same monthly rate and the same membership fee
6 0
2 years ago
Read 2 more answers
Use lagrange multipliers to find the points on the given surface that are closest to the origin. y2 = 64 + xz
Inessa [10]
The distance between an arbitrary point on the surface and the origin is

d(x,y,z)=\sqrt{x^2+y^2+z^2}

Recall that for differentiable functions g(x) and h(x), the composition g(h(x)) attains extrema at the same points that h(x) does, so we can consider an augmented distance function

D(x,y,z)=x^2+y^2+z^2

The Lagrangian would then be

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(y^2-64-xz)

We have partial derivatives

\begin{cases}L_x=2x-\lambda z\\L_y=2y+2y\lambda\\L_z=2z-\lambda x\\L_\lambda=y^2-64-xz\end{cases}

Set each partial derivative to 0 and solve the system to find the critical points.

From the second equation it follows that either y=0 or \lambda=-1. In the first case we arrive at a contradiction (I'll leave establishing that to you). If \lambda=-1, then we have

\begin{cases}2x+z=0\\2z+x=0\end{cases}\implies x=0,z=0

This means y^2=64\implies y=\pm8

so that the points on the surface closest to the origin are (0,\pm8,0).
8 0
2 years ago
Jennifer has a square bedroom. The area of her room is 144 ft2. What is the length of one side of Jennifer’s room?
Jobisdone [24]

Answer:

Option B. 12\ ft

Step-by-step explanation:

we know that

The area of a square is equal to

A=x^{2}

where

x is the length side of the square

In this problem we have

A=144\ ft^{2}

substitute and solve for x

144=x^{2}

suqre root both sides

x=12\ ft

7 0
2 years ago
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