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3 years ago

5fg for f=6 and g=10 (evaluate)

Mathematics

1 answer:

Oksanka [162]3 years ago

7 0

Answer:

300

Step-by-step explanation:

5fg

5(6)(10)=300

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What is the unit rate for 220$ to 13ft

Firlakuza [10]

Answer:

Total Rate= 220$ and length = 13 ft

13/220$

= 1/16.92$

Unit = 16.92$

6 0

2 years ago

A farm grows both beans and corn. Each year, beans earn $900 per acre and corn earns $600 per acre. The farm has a total of 58 a

beks73 [17]

Answer:

35 acres of beans and 23 acres of corn

Step-by-step explanation:

58 divided by 2 = 29 +8 = 35 x 900 = 31500

= 29 - 6 = 23 x 600 = 13800

= 45300

5 0

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 rate of change: y=x+5

const2013 [10]

Answer:

x or 1x.

Step-by-step explanation:

The rate of change is slope.

Slope=m

y=mx+b

y=x+5

x is the same thing as 1x. So...

4 0

2 years ago

What is the value of x + 186 when x = -21

fredd [130]

Answer:

165

Step-by-step explanation:

-21+186=165 .....

7 0

3 years ago

Read 2 more answers