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2 years ago

Find the total profit or loss for each color of T-shirt.

Mathematics

1 answer:

Temka [501]2 years ago

5 0

Green 29. white 37 black 32

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1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle

zimovet [89]

Answer: $\left | 2t-5\right |,\ 2,\ 2t-5$

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

$s(t)=t^2-5t+1$

Speed of the particle is given by

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |$

Acceleration of the particle is

$\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2$

velocity can be negative, but speed cannot

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5$

3 0

2 years ago

Determine if line AB is tangent to the circle. Type

adoni [48]

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

6 0

2 years ago

Tom drove at a constant speed 50 mph for 2.5 hours Albert drove at a constant speed of 65 mph for 2 hours. How many more total m

Alona [7]

Answer:

5 miles

Step-by-step explanation:

distance = speed · time

Tom's distance = (50 mi/h)·(2.5 h) = 125 mi

Albert's distance = (65 mi/h)·(2 h) = 130 mi

Albert drove 130 -125 = 5 miles farther than Tom.

8 0

2 years ago

Which expression results from dividing 6x^8-4x^6 by 2x^2

pogonyaev

$\frac{6 {x}^{8} - 4 {x}^{6} }{2 {x}^{2} } = \frac{2 {x}^{6}(3 {x}^{2} - 2) }{2 {x}^{2} } = 2 {x}^{4}(3 {x}^{2} - 2)$

6 0

3 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30

tekilochka [14]

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

6 0

2 years ago