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3 years ago

Apparently I'm supposed to do one at a time so here we go again

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes

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What is the amount of sales tax owed on a 550 dollar laptop computer if the tax rate is 15% ?

ryzh [129]

Convert 15% into a decimal. (0.15) Then multiply that by 550.

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3 years ago

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Which equation is incorrect if x =0 1. 9x-3x-4 2. 12x-4 3. 5x+x-4

diamong [38]

They’re all -4 ,, what exactly are you asking ?

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3 years ago

Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b

elixir [45]

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b: general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b. Then b must be 8, and the desired equation is

y = 5x + 8

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3 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

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3 years ago

What is 12/25 as a decimal in the simplest form?

atroni [7]

Decimal: 12/25 = 0.48

4 0

3 years ago

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