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goblinko [34]
3 years ago
6

I Need help pls help

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0

Step-by-step explanation:

X = 50

plz mark my answer as brainlist plzzzz if you find it useful.

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Can you please help me ASAP
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Step-by-step explanation:

The angle of 2 is 75 degrees.

Angle 1 = 180 - 75 = 105 degrees

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3 years ago
Greg drove 386 miles and used 20 gallons of gas.His car averaged how many miles per gallon?
frutty [35]
386 divided by 20 is 19.3 so Greg averaged 19.3 miles per gallon.
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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
Plz help me with this.
oee [108]

Answer:

Step-by-step explanation:

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If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time
BartSMP [9]

The equation for time is URM:

time =  \frac{distance}{speed \: (rate)}

t(s) =  \frac{4s {}^{3}  - 6s {}^{2}  + 4s + 14}{s + 1}  =  \frac{2(s + 1)(2s {}^{2} - 5s + 7) }{s + 1}  \\  t(s) = 2(2s {}^{2}  - 5s + 7) \\ t(s) = 4s {}^{2}  - 10s + 14

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