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mestny [16]
3 years ago
15

Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

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Harvey can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
lyudmila [28]

Answer:

12 2/3 km/hour or 12.666 km/hour

Step-by-step explanation:

Because 3 1/6 is the rate for every quarter hour, simply multiply that rate by 4 in order to get the average speed over the course of an hour.

6 0
2 years ago
Which parent funtion is f(x)=x^2
Darina [25.2K]
I believe it is C. The quadratic function.
5 0
3 years ago
12/60 in lowest terms
Luda [366]
Fractions can be simplified by making sure that the numerator and the denominator cannot be divided by any number.

The given 12/60 is very obvious that it is divisible by 2.
After dividing by 2, you will get 6/30.
It seems it is not in simplest form. It is divisible by 3.
Dividing the numerator and denominator by 3 then you will get 
2/15.

So the lowest term is 2/15.
8 0
3 years ago
Plzzz help plzzzzzzzzzzzzzz
mezya [45]

Given:

The figure of two quadrilaterals.

In ABCD,AB=18,BC=20,CD=22,AD=24

In EFGH,EF=27,FG=30,GH=34, EH=36

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

\dfrac{AB}{EF}=\dfrac{18}{27}

\dfrac{AB}{EF}=\dfrac{2}{3}

Similarly,

\dfrac{BC}{FG}=\dfrac{20}{30}

\dfrac{BC}{FG}=\dfrac{2}{3}

\dfrac{CD}{GH}=\dfrac{22}{34}

\dfrac{CD}{GH}=\dfrac{11}{17}

And,

\dfrac{AD}{EH}=\dfrac{24}{36}

\dfrac{AD}{EH}=\dfrac{2}{3}

Clearly, \dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

7 0
3 years ago
If a questiong does not tell you to answer in terms of pi do you round
Wittaler [7]
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3 years ago
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