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Georgia [21]
2 years ago
14

While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely

proportional to the radius of the turn. If the passengers feel an acceleration of 10 feet per second per second when the radius of the turn is 70 feet, find the acceleration the passengers feel when the radius of the turn is 140 feet.
Mathematics
1 answer:
kvv77 [185]2 years ago
4 0

A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.

Substituting the given values:-

10 = k / 70

k = 10*70 = 700

So the equation of the motion is A = 700 / R

When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)

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Identify the underlined place in 83.5851. Then, round the number to that place.
djyliett [7]
So assuming the underlined decimal is the second 8, let's answer the question.

Hundreds: 0 | Tens: 8 | ones: 3 | . | tenths: 5 | hundredths: 8 | thousandths: 5 | 10 thousandths: 1

So since the second 8 is in the hundredths place, we know it's either B or C.

When we round for 5, we always round up, so the answer would be 83.59

So the answer is B.

Hope this helped! If you have any more questions or don't understand please comment or DM me. :)

6 0
3 years ago
How do you write equation for rise ove run
SashulF [63]
Y = mx + b

M= your slope or rise over run

B = your y-intercept

For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar

The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10

That about sums it all up!

6 0
3 years ago
Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '[infinity]' or
soldi70 [24.7K]

Answer:

The limit of this function does not exist.

Step-by-step explanation:

\lim_{x \to 3} f(x)

f(x)=\left \{ {{9-3x} \quad if \>{x \>< \>3} \atop {x^{2}-x }\quad if \>{x\ \geq \>3 }} \right.

To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

\lim_{x \to a^{-}} f(x) = \lim_{x \to a^{+}} f(x) =L

and the limit does not exist if

\lim_{x \to a^{-}} f(x) \neq \lim_{x \to a^{+}} f(x)

Evaluate the one-sided limits.

The left-hand limit

\lim_{x \to 3^{-} } 9-3x= \lim_{x \to 3^{-} } 9-3*3=0

The right-hand limit

\lim_{x \to 3^{+} } x^{2} -x= \lim_{x \to 3^{+} } 3^{2}-3 =6

Because the limits are not the same the limit does not exist.

8 0
3 years ago
Which is the equation of a line that has a slope of 3/2 and has the point of (-10,4)
Daniel [21]
Y = 3/2x + b
4 = 3/2(-10) + b
4 = -15 + b, b = 19
Y = 3/2x + 19
5 0
2 years ago
A rectangular playground is 40 meters by 10 meters its area will be covered with wood chips each bag of wood chips covers 200 sq
zysi [14]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangular playground is expressed as

Area = length × width

The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be

Area = 40 × 10 = 400 m²

Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be

400/200 = 2 bags

Each bag costs $30. Therefore, the total cost for this project would be

2 × 30 = $60

7 0
3 years ago
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