Answer:
<h2>a) 10⁶metres</h2><h2>b) 10¹⁸metres</h2>
Step-by-step explanation:
Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;
a) The product of one terameter and one micrometer will be expressed as;
10¹² * 10⁻⁶
Since the both have the same base, we will add their power according to one of the law in indices as shown
10¹² * 10⁻⁶ = 10⁻⁶⁺¹²
= 10⁶metres
b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;
Note that when taking the quotient, the power are subtracted
![= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)} \\= 10^{12+6} \\= 10^{18}metres](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10%5E%7B12%7D%20%7D%7B10%5E%7B-6%7D%20%7D%20%5C%5C%3D%2010%5E%7B12-%28-6%29%7D%20%20%5C%5C%3D%2010%5E%7B12%2B6%7D%20%5C%5C%3D%2010%5E%7B18%7Dmetres)
Answer:
a) 3x⁴-4x³-8x²-35x-10
Step-by-step explanation:
3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)
3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10
3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10
3x⁴-4x³-8x²-35x-10
Answer:
see explanation
Step-by-step explanation:
If y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k divide both sides by x
k = ![\frac{y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D)
This value must be constant for all ordered pairs, thus
k =
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
k =
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
k =
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
k = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Since k is constant for all ordered pairs then y is proportional to x
If the first roll is a 4, the possibilities to add less than 8 are that the second cube roll is 1, 2 or 3.
These are 3 different events out of 6 possilbe ones, which is 3 / 6 = 1 / 2; i.e. half of times.
Then the answer is the first option: 1 / 2
Answer:
3.33 or 3 1/3
Step-by-step explanation:
You're correct to multiply by 4.
Your answer will be 10/3
Just make it a mixed number: 3 1/3
3.33 is 10/3 as a decimal.