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I am Lyosha [343]
3 years ago
5

Question 7 of 10

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

D

Step-by-step explanation:

equation is y=mx+b

b is y intercept

m is slope

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What is the fifth term in the binomial expansion of (x + 5)^8?O 175,000x³O 43,750x4O 3,125x5O 7,000x
enyata [817]

Solution:

Given the expression below

(x+5)^8

Applying the binomial theorem formula

\begin{gathered} \left(a+b\right)^n=\sum_{k=0}^n{\binom{n}{k}}a^{n-k}b^k \\ Where \\ a=x \\ b=5 \\ n=8 \\ k=4\text{ i.e. fifth term} \end{gathered}

For the fifth term, i.e

\sum_{k=4}^8{\binom{8}{4}}x^{8-4}5^4=\frac{8!}{4!(8-4)!}\cdot x^4\cdot(625)=(70)(625)(x^4)=43750x^4

Hence, the fifth terms is

43750x^4

3 0
1 year ago
When you calculate In (100), you would be finding the value of which of the following expressions?
Zepler [3.9K]
Helloo:)
it’ll be loge (100) because ln = loge
(I’m not sure how to explain this, but I hope it helps:)!
7 0
3 years ago
Need help solving problems 29-32 please explain so I can understand concepts thank you!!
Fittoniya [83]

29.<BCA

30. <ACE

31.<ACB

32.<JCB

3 0
3 years ago
Read 2 more answers
Line AC is perpendicular to the
IRINA_888 [86]

If the length of OA is 1.80 units. Then the length of segment AB will be 0.80 units.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Line AC is perpendicular to the circle centered at O with a radius of 1 unit. The length of AC is 1.5 units.

The figure is shown below.

Then the length of segment AB will be

AB = OA - OB

AB = OA - 1

Then the OA will be

OA² = OC² + AC²

OA² = 1² + 1.5²

OA² = 1 + 2.25

OA² = 3.25

OA = 1.80 units

Then we have

AB = 1.80 - 1

AB = 0.80 units

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

#SPJ1

7 0
3 years ago
Which one is the even number:<br> 116,318,162,230,180,155
Blababa [14]

Answer:

they are all even numbers except for 155

Step-by-step explanation:

8 0
3 years ago
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