MATHEMATICS HIGH SCHOOL

Which expression is equivalent to –2(5x – 0.75)?10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5

Answers

Answer 1
Answer: -10x + 1.5 because you get rid of the parenthesis so -2 times 5 is -10 ( -10x ) and then -2 times -0.75 equals positive 1.5 due to two negatives canceling out to positive hope this helped!
Answer 2
Answer:

Answer:

It is the last answer

Step-by-step explanation:

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The problem is in the picture.

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.

Answer:

2 π

explanation:

I took the quiz

The power generated by a wind turbine depends on the wind speed . The expression 800 v^3 gives the power in watts for a certain wind turbine at wind speed v in meters per second . If the wind speed triples , by what factor does the power generated by the wind turbine increase ? 2) Can you write the expression 49x^2y^2z^2 using only one exponent ? Show how or explain why not ?

Answers

Power  = 800v³

If the speed triples, v is replaced by 3v.

  Power = 800*(3v)³ =  800*27v³ = 27*(800v³)

 The power increases by 27 times.


2)  49x²y²z² 

The expression can be written using one exponent

49x²y²z² = 7²* x² *y² * z²   = (7xyz)²

                                                 =  (7xyz)²
1. it would increase by 27 times
in other words, 3^3 times

2. You can rewrite the expression using one exponent because each variable is being squared and multiplied by each other
if you had 3^2 x 4^2 it would be 144 (9 x 16)
same as if you had (3 x 4)^2 which is 12^2, which is also 144
the expression would be (7xyz)^2

Which of the following represents the prime factorization of 72?

Answers

If you would like to write the prime factorization of 72, you can do this using the following steps:

72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1

72 = 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2

The correct result would be 2 * 2 * 2 * 3 * 3.

Answer:

2^3 3^2

Step-by-step explanation:

If A and B are independent events, P(A and B) =

Answers

Answer:

If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.

Answer:

Step-by-step explanation:

Given A and B are independent events, P(A and B) = P(A)*P(B)

(b) 一2-+-311X+5 ; X--2 X2+3.X_-10

Answers

= (2)/(x+5) + (3)/(x-2) - (11)/((x+5)(x-2))
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= (2x-4+3x+15-11)/((x+5)(x-2))
= (5x)/((x+5)(x-2))

The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters?   A. The surface area of the pyramid would decrease.   B. The surface area of the pyramid would increase.   C. The surface area of the pyramid would stay the same, but the number representing the surface area would decrease.   D. The surface area of the pyramid would stay the same, but the number representing the surface area would increase

Answers

D. If I told you to walk 1 metre or 100cm you would have walked the same distance but more cm as the ratio of cm:m is 100:1, this is the same thing for surface area except the ratio is 1000:1 
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