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2 years ago

Identify the number of terms in the expression. Type the answer in the space provided.

Mathematics

1 answer:

wlad13 [49]2 years ago

5 0

Answer:

Step-by-step explanation:

The terms are separated by the "-"

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Suppose you want to buy a great pair of designer jeans that were originally priced at $95, but are now on sale for 10% off. When

77julia77 [94]

Answer:

$94.05

Step-by-step explanation:

Original price of jeans=$95

Discount=10%

New price=(100% - 10%) of $95

=90% × 95

=90/100 × 95

=0.9 × 95

=$85.5

Sales tax of 10%

10% of the new price

=10/100 × 85.5

=0.1 × 85.5

=$8.55

Sales tax =$8.55

Total amount paid for the jeans= sales tax + new tax

=$8.55 + $85.5

=$94.05

5 0

3 years ago

What is the lateral area of the cylinder?

Sunny_sXe [5.5K]

D = 22ft
h = 9 ft

Lateral area of the cylinder = π × D × h = 3,14 × 22 × 9 = 621,72 ft²

3 0

2 years ago

Read 2 more answers

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

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