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2 years ago

What is 10001000004000020000010000

Mathematics

2 answers:

babunello [35]2 years ago

4 0

Answer:

8e+21

Step-by-step explanation:

balandron [24]2 years ago

3 0

Answer:

8.e+21

Step-by-step explanation:

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

Point O is the center of the circle in the diagram. What is m∠BCA ?

Eduardwww [97]

M ∠ BOA = 360° - 250° = 110°
The sum of all interior angles of the quadrilateral AOBC is 360°
m ∠ BCA = 360° - ( 110° + 90° + 90° ) = 360° - 290° = 70°
Answer: C ) 70°

3 0

3 years ago

Dr. Wellbee advised his patients to drink 8 eight-ounce glasses of water every day for every 50 pounds of weight. If Kelby weigh

d1i1m1o1n [39]

224 that's a lot of water

5 0

4 years ago

2/3÷4/5 equals what ?

natka813 [3]

5/6 is the answer. :)

3 0

3 years ago