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3 years ago

What number is smaller number -5 or -15? Explain your answer. Please help college math basic algebra

2 answers:

8 0

-15 is the smaller number because the further you go into the negatives like -30, -47, -52; youre getting further away from 0 and after 0 are positive numbers so -15 would be the smaller number

sp2606 [1]3 years ago

8 0

-5 is bigger because it is closer to zero on the number line. This is because negative numbers get smaller and smaller the farther they are from zero.

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This is due tonight and I am struggling with a couple of questions. This is one. Please help

dangina [55]

Answer:

x = 4.2

Step-by-step explanation:

72 + 10x = 114

10x = 114 - 72

10x = 42

x = 42/10

x = 4.2

5 0

3 years ago

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nikdorinn [45]

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

6 0

3 years ago

What is the circumference of a circle if the radius is 50 ?

Zina [86]

The appropriate formula is C = 2*pi*r.

Here, C = 2*pi*(50 units) = 100*pi units (answer)

5 0

3 years ago

Subtract 8/9 - 1/3 5/6 5/9 7/9 7/12

Mars2501 [29]

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

6 0

2 years ago