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3 years ago

Which of the following is an example of an improper fraction?

1 answer:

6 0

Improper fractions are called such because the numerator is greater than the denominator. The only way it can be simplified is through a mixed fraction.

c) 10/3 is the improper fraction.

10/3 is simplified into 3 1/3.

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Least to greatest 0.45, -0.48, 8/25

mr_godi [17]

Answer:

-0.48, 8/25, 0.45

Step-by-step explanation:

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3 years ago

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G(x)= -3x(x-8), find g(-4)

Mashcka [7]

Answer:

g(-4)=144

Step-by-step explanation:

g(-4)=-3*-4)(-4-8)

3*-4=-12

-4-8=-12

-12*-12= 144

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2 years ago

What is 97/50 as a decimal

FinnZ [79.3K]

97/50 would be multipled by 2 to get 0.196. You multiply by 2 to make it easier

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3 years ago

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The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.The temperature at 5 a.m. was

satela [25.4K]

The temperature at 5 am was -3 degrees

12-15=-3

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2 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