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3 years ago

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

-6a²/ b

5y³

Step-by-step explanation:

-6a²b⁻¹

-6a²/ b

5/ y⁻³

5 / 1/ y³

5 * y³/1

5y³

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18, 26, 34, 42, find the 52nd term and the explicit formula

daser333 [38]

We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)
We use the formula an = a1 + (n-1)x8 (the explicit formula)
So, an = 18 + (n-1)x8 ;
Then, an = 8n + 10;
Finally, a52 = 8x52 + 10 = 426 (the 52nd term);

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3 years ago

Write the tangent for Y and Z

Vikentia [17]

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2 years ago

Cylinder a has a mass of 3 kg and cylinder b has a mass of 8 kg. Determine the speed of a after it has moved 2 m starting from r

german

The rate of change of an object's velocity with respect to time is defined as acceleration. The speed of a after it has moved 2m starting from rest is 1.98 m/s².

<h3>What is acceleration?</h3>

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

We can see that the acceleration of 3kg mass is double that of the 8kg mass. Therefore, Writing the force conservation equations altogether,

(T - 3g)/3 = 2(8g - 2T)/8

T= 3.6*g

Now, the Acceleration of 8kg mass can be written as

a = (8g - 2T)/8

= 0.8g/8

=0.1g

Therefore, acceleration of mass 3kg = 2×a = 0.2g

Further, as per the law of motion we can write,

v² - u² = 2as

Substituting the values, u =0; a=0.1g; s=2m; we will get,

v=1.98m/s

Hence, the speed of a after it has moved 2m starting from rest is 1.98 m/s².

Learn more about Acceleration:

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3 0

1 year ago

Help ? I need steps on how to do this

Furkat [3]

Answer :- 

the quotient is ( 4x² - 5x + 7 )

Step-by-step explanation:

[ Refer to the attachment for steps ]

We have to eliminate the highest degree coefficient in each step.

And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

The negative sign changes the negative sign into positive sign and positive sign into negative sign.

Whereas , a positive sign don't changes the sign.

8 0

2 years ago

Find the value of x that makes the equation true. x + 4 = 12

kirill115 [55]

x + 4 = 12 Subtract 4 on both sides to get "x" by itself

x + 4 - 4 = 12 - 4

x = 8

7 0

3 years ago