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3 years ago

What was the cost of the family's clothing in 1991?

Mathematics

2 answers:

Assoli18 [71]3 years ago

6 0

Answer:

Step-by-step explanation:

Assuming the cost increased linearly is equivalent to assuming the cost increased at a constant rate. Because the cost of the clothing increased from $620 to $1,000 in 10 years, the constant rate is equal to

= ($1,000 - $620)/10

= $38 per year

Therefore, the cost of the family’s clothing in 1991 (6 years after 1985) is:

$620 + (6 years)($38 per year)

= $620 + $228

= $848

Olegator [25]3 years ago

5 0

Answer:

B. 848

Step-by-step explanation:

Hope it helps :>

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Sholpan [36]

1. 2.00/64=3.125 cents per oz
2. 7.50/256=2.930 cents per oz.
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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 $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

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

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3 years ago

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xz_007 [3.2K]

Answer:

Volume of cone = 418.67 cm³ (Approx.)

Step-by-step explanation:

Given:

Radius of cone = 5 cm

Height of cone = 16 cm

Find:

Volume of cone

Computation:

Volume of cone = [1/3][π][r²][h]

Volume of cone = [1/3][3.14][5²][16]

Volume of cone = [1/3][3.14][25][16]

Volume of cone = [1/3][3.14][400]

Volume of cone = [1/3][1,256]

Volume of cone = 418.67 cm³ (Approx.)

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How would you solve this? Please give an explanation.

Neporo4naja [7]

The first three elements of the recursive series are 6, 10, 8. (Correct choice: B)

<h3>How to generate values from a recursive function</h3>

In this question we have a kind of recursive function known as Fibonacci's function, where a value of the series is generated from at least immediately previous elements. In this case, we need to find the first three elements from the fifth and fourth elements of the series:

$a_{n-2} = a_{n-1} - a_{n} + 4$

a₄ = a₅ - a₆ + 4

a₄ = - 2 - 0 + 4

a₄ = 2

a₃ = a₄ - a₅ + 4

a₃ = 2 - (- 2) + 4

a₃ = 8

a₂ = a₃ - a₄ + 4

a₂ = 8 - 2 + 4

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a₁ = a₂ - a₃ + 4

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The first three elements of the recursive series are 6, 10, 8. (Correct choice: B)

To learn more on recursive series: brainly.com/question/8972906

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