1. Simplify (4xy^2)^3(xy)^5 . 2. Simplify (2t^–3)^3(0.4r)^2

Answer:

Option C. $1.67

Step-by-step explanation:

The price of a bag of candy at wholesale = $1.15

The markup on candy at the discount store = 45%

The retail price for the candy = 1.15 +(45% × 1.15)

                                                = 1.15 + (×1.15)

                                               = 1.15 + (0.45 × 1.15)

                                               = 1.15 + 0.5175

                                               = 1.6675 ≈ $1.67

The retail price for the candy would be $1.67.

Answer:

90

Step-by-step explanation:

To solve this you must make a proportion of x/150 60/100. Then you need to find the relation between 100 and 150 which is x 1.5. Then apply the same thing to 60 which results in 90.

Answer: 250

You must set this up as a proportion

Remember the percent is always over 100

150/x=60/100

Then solve the proportion

60x=15000

Get the x by its self

15000/60 is 250

x=250

Answer:

54.8 Nm

Step-by-step explanation:

Torque is the cross product of the radius vector and force vector:

τ = r × F

Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.

τ = rF sin θ

Here, r = 0.366 meters and F = 155 Newtons.  F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.

τ = (0.366 m) (155 N) (sin 75°)

τ = 54.8 Nm

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