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nataly862011 [7]
2 years ago
5

5

Mathematics
1 answer:
olganol [36]2 years ago
5 0

Answer:

The answer is 25 because they're both the same.

Mark me as brainliest please.

Step-by-step explanation:

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38 ×29 use rounding to estimate each product
nydimaria [60]
38 rounds to 40.
29 rounds to 30.
40 x 30 = 120.
8 0
3 years ago
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 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

<u>Solution: </u>

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

6 0
3 years ago
A rectangular parking lot has an area of 2/3 of a square kilometer. The width is 1/2 of a kilometer. What is the length, in kilo
jeka57 [31]
Area = length x width
 replace the known information into the equation:

area = 2/3
width = 1/2

so now the formula looks like:

2/3  = 1/2 x L

to solve for L we divide both sides by 1/2

L = 2/3 / 1/2 which  = 2/3 * 2/1 = 4/3 = 1 and 1/3 km
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3 years ago
What composition of transformations would map figure Fonto figure A?
Juli2301 [7.4K]
I should be A hope this helps
4 0
3 years ago
Solve the simultaneous equations by substitution x − y = 8, x + 4y = 13
Evgesh-ka [11]

Answer:

x = 9; y = 1

Step-by-step explanation:

4 0
2 years ago
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