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RUDIKE [14]
2 years ago
6

I have 5 minutes to put the answer in

Mathematics
2 answers:
Sholpan [36]2 years ago
8 0

Answer:

-8

Step-by-step explanation:

Y=mx+b, m=slope

in this case -8 is the m

-BARSIC- [3]2 years ago
8 0

Answer:

-8

Step-by-step explanation:

This equation is written in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given the equation y = -8x + 7/6, so m = -8 and b = 7/6.

Best of Luck!

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At what point does she lose contact with the snowball and fly off at a tangent? That is
postnew [5]

Answer:

α ≥ 48.2°

Step-by-step explanation:

The complete question is given as follows:

" A skier starts at the top of a very large frictionless snowball, with a very small initial speed, and skis straight  down the side. At what point does she lose contact with the snowball and fly off at a tangent? That is, at the  instant she loses contact with the snowball, what angle α does a radial line from the center of the snowball to  the skier make with the vertical?"

- The figure is also attached.

Solution:

- The skier has a mass (m) and the snowball’s radius (r).

- Choose the center of the snowball to be the zero of gravitational  potential. - We can look at the velocity (v) as a function of the angle (α) and find the specific α at which the skier lifts off and  departs from the snowball.

- If we ignore snow-­ski friction along with air resistance, then the one work producing force in this problem, gravity,  is conservative. Therefore the skier’s total mechanical energy at any angle α is the same as her total mechanical  energy at the top of the snowball.

- Hence, From conservation of energy we have:

                       KE (α) + PE(α) = KE(α = 0) + PE(α = 0)

                       0.2*m*v(α)^2 + m*g*r*cos(α) = 0.5*m*[ v(α = 0)]^2 + m*g*r

                       0.2*m*v(α)^2 + m*g*r*cos(α) ≈ m*g*r

                        m*v(α)^2 / r = 2*m*g( 1 - cos(α) )

- The centripetal force (due to gravity) will be mgcosα, so the skier will remain on the snowball as long as gravity  can hold her to that path, i.e. as long as:

                         m*g*cos(α) ≥ 2*m*g( 1 - cos(α) )

- Any radial gravitational force beyond what is necessary for the circular motion will be balanced by the normal  force—or else the skier will sink into the snowball.

- The expression for α_lift becomes:

                            3*cos(α) ≥ 2

                            α ≥ arc cos ( 2/3) ≥ 48.2°

4 0
2 years ago
How do you determine the area of a circle? Could you give an example please?
pickupchik [31]
To determine the area if the circle, you must know the diameter or the radius of a circle.

If you know the radius of a circle, use this as your formula. Remember: Pi (the greek symbol thingy) is equal to 3.1415. (A is equal to area of the circle and r represents the radius)
a = \pi {r}^{2}
If you know the diameter, just divide the diameter to get the radius then use the same equation.

7 0
3 years ago
Read 2 more answers
Will there be more thaan one relay exchange between 2 consecutive tenths of a mile​
kondor19780726 [428]

Yes there will be more than one

6 0
3 years ago
Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions
docker41 [41]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder?

Since the Area of the potholder = 80 sq inch

And the dimension of the potholder ; length and width are integers ; Hence, possible dimensions could be ;

Area = length × width

80 = length × width

(80, 1), (40, 2), (20, 4), (10, 8), (16, 5)

Potholders are fabrics sewn from the purpose of being used to handle pots and other kitchen equipments.

Usually the dimension are usually close, hence, the most sensible dimension a potholder with an area of 80 sq inch could have is 8 by 10 or vice-versa.

7 0
2 years ago
An item costs x dollars and then a 20% discount is applied
Marat540 [252]

Answer:

If an item is x dollars and 20% discount is applied, the new price will be: 0.8x

Step-by-step explanation:

100 - 20%(20) = 80

80 = 80% or 0.8

So, the remaining of the price of x will be 0.8x.

7 0
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