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Marat540 [252]
3 years ago
8

Choose the correct simplification of the expression a^2*a^3

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

a^2\cdot a^3=a^{2+3}=a^5

Why?

a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^2\cdot a^3=\underbrace{(a\cdot a)}_{2}\cdot\underbrace{(a\cdot a\cdot a)}_{3}=\underbrace{a\cdot a\cdot a\cdot a\cdot a}_{2+3=5}

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While traveling in a car, the centrifugal force a passenger experiences as the car drives in a circle varies jointly as the mass
rjkz [21]

Answer:

A- 129.6 N

Step-by-step explanation:

Since the centrifugal force on the passenger, F varies jointly as the mass of the passenger, m and the square of the speed of the car,v. In mathematical notation, F ∝ mv² ⇒ F = kmv².

If F₁ = 226.8 Newtons, m₁ = 70 kilograms and speed v₁ = 60 kilometers per hour. From F= kmv², k = F/mv² the proportionality constant. If F₂ is the force on the passenger of mass m₂ = 90 kilograms and speed of car ,v₂ = 40 kilometers per hour. Then,

k = \frac{F_{1} }{m_{1}v_{1} ^{2}  } = \frac{F_{2} }{m_{2}v_{2} ^{2}  }\\ F_{2} = F_{1} \frac{m_{2} }{m_{1} }(\frac{v_{2} }{v_{1} }) ^{2}    \\F_{2} =  226.8\frac{90 }{70 }(\frac{40 }{60 }) ^{2}\\F_{2} = 129.6 newtons

3 0
3 years ago
Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 2one third c of flour for her recipe and Jamie needs
MrRissso [65]
No you would not have enough flour because if you add those to mixed numbers together you would get 4 and 1/12
7 0
3 years ago
Read 2 more answers
Find the 10 th term of the following geometric sequence. 1,5, 25, 125, ...​
IceJOKER [234]

Answer:

1953125

Step-by-step explanation:

5: 625

6: 3125

7: 15625

8: 78125

9: 390625

10: 1953125

Sequence

×5

6 0
2 years ago
Translate into a equation. one subtracted from two times a number is -45.​
sleet_krkn [62]

Answer:

2x - 1 = -45.

Step-by-step explanation:

2x - 1 = -45 is the required equation.

x is the number.

3 0
3 years ago
If -4(x-3)+5x=24, then x= what?
navik [9.2K]
The answer to this question would be x = 12, using pemdas.
4 0
3 years ago
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