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3 years ago

The distance Max's bike moves is directly proportional to how many rotations his bike's crank shaft has

Mathematics

1 answer:

Olin [163]3 years ago

4 0

Answer:

25*15/2=187.5 he moves 187.5 feet with 15 rotations

Step-by-step explanation:

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Suggest the best imperial unit to measure:

ella [17]

1-kilometers or miles
2-what is the size of the jug? (If is smal use ml if is large liters
3-grames ou onces
4onces or kilograms

5 0

3 years ago

Read 2 more answers

Compare the solutions of

MrRa [10]

Answer:

of what?

Step-by-step explanation:

4 0

3 years ago

Using binomial theorem, expand (x+6)^8 edit: You could use the help of combinations too.

Pavlova-9 [17]

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Explanation:

We know

(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ

and ⁿCₐ = n! / ( a! ) . ( n-a )!

So,

(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸

= ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ 46656 + 8x . 279936 + 1679616

= x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Thus, the expansion of ( x+6)⁸ using binomial theorm is

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

4 0

3 years ago

HELPPP ASAPPP PLSSSSSss

lidiya [134]

Answer:

$a){10}^{0} \\ b) {10}^{ - 7} \\ c){10}^{7} \\ d) {10}^{1}$

Step-by-step explanation:

${1000}^{ - 3} = {10}^{3 + ( - 3)} = {10}^{0} \\ {0.0001}^{ - 4} = {10}^{ - 3 + - 4} = {10}^{ - 7} \\ {100}^{5} = {10}^{2 + 5} = {10}^{7} \\ {0.001}^{3} = {10}^{ - 2 + 3} = {10}^{1}$

hope this helps you.

Have a nice day!

6 0

3 years ago

At what point is the following function continuous?

liubo4ka [24]

Check the picture below.

something worth noticing $\bf \cfrac{x^2-x-6}{x-3}\implies \cfrac{(\underline{x-3})(x+2)}{\underline{x-3}}\implies x+2$

so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.

4 0

3 years ago