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2 years ago

A carnival charges a $5 admission fee plus $1 per ride.

Mathematics

2 answers:

Jlenok [28]2 years ago

4 0

3x-x+2=4 is the anwser to the problem

serious [3.7K]2 years ago

3 0

Only 2 rides 5 plus 5 is 10

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PPLEASE HELP WILL MARK IF CORRECT

qaws [65]

Answer:

f(5) = 2

Step-by-step explanation:

it says to use the function (-x+3) for when x is bigger than 2

f(x) = (-x) + 3 replace x with 5

f(5) = (-5) + 3 and f(5) = 2

8 0

2 years ago

Read 2 more answers

Work out the volume of a cube of edge 4m

telo118 [61]

L*W*H , So 4*4*4, So therefore it would be 64 m3

5 0

2 years ago

Can relative maximums and minimums be at the endpoints? I know global max/min can be at endpoints but I'm not sure about relativ

KatRina [158]

Answer:

Step-by-step explanation:

Just because the derivative is 0 at a point doesn't necessarily mean it is a relative minimum or maximum. You must be able to evaluate the derivative on both sides of the point to determine if it changes signs. Since endpoints have only one side, they cannot be relative maximums or minimums.

5 0

2 years ago

A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc

liq [111]

$-5.3\:\text{ft/s}$

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

$L^2 = 100\:\text{ft}^2 = x^2 + y^2$

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

$0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}$

Solving for dx/dt, we get

$\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}$

We know that

$\dfrac{dy}{dt} = 4\:\text{ft/s}$

when x = 6 ft. So the rate at which the top of the ladder is going down is

$\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})$

$\:\:\:\:\:\:\:= -5.3\:\text{ft/s}$

The negative sign means that the distance x is decreasing as y is increasing.

5 0

2 years ago

A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing a number 8? Roun

Semenov [28]

We know that in a standard deck of 52 cards there are 4 suits and each suit has one card with the number 8. Thus, 4 suits will have 4 cards with the number 8. Therefore, the total number of events in the sample space is 52 and the total number of favorable events is 4.

Thus, if a card is drawn from a standard deck of 52 cards, the theoretical probability of drawing a number 8 is given by:

$P(8)=\frac{4}{52} \approx0.077$

Thus, round the decimal to the nearest hundredth, the theoretical probability of drawing a number 8 from a standard deck of 52 cards is given by 0.08.

4 0

2 years ago