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victus00 [196]
2 years ago
7

Amy needs to buy 12 notebooks and a pack of pens from the store. The pack of pens cost $2.50 and she has a budget of $30. Which

inequality represents the situation if a represents
the maximum amount she can spend on each notebook?
A 12.6 +2.50 > 30
B) 12 +2.50.3 < 30
C) 12. + 2.50 < 30
D 12 +2.50 < 30
Mathematics
1 answer:
sweet [91]2 years ago
3 0
I think it’s c, because if the . next to the 12 means x then yes. There should be an c near 12 because we have no clue how much the notebooks are. If the . doesn’t mean x then it should be d.
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A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas
kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

y= 4\sqrt{5x+11} .

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} }  5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\

From the question, we have:

(x, y) =  (5,24)

Substitute 5 for x and dy / dx = 2

\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

brainly.com/question/13103052

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8 0
1 year ago
An isometry is a transformation that preserves?
Murrr4er [49]
An isometry is a transformation that preserves distance.

hope this helps, God bless!
4 0
3 years ago
60.9643790503 to 5 decimal places
enyata [817]

Answer:


60.96437 is the 5 decimal place of 60.9643790503 number



6 0
3 years ago
See attached image. For part b, my answer is <img src="https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7Bt%5E2%7D%7B100%7D-%5Cfrac%7B
ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
3 years ago
Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.
nadya68 [22]
Angle 3, 6, and 8 have the same measure as angle 1
8 0
3 years ago
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