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defon
3 years ago
11

Carrie works as a library assistant in Orpington

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

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3 years ago
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as shown in the diagram below, a building cast a 72 foot shadow on the ground when the angle of elevation of the sun is 40 degre
tester [92]

Answer:

60

Step-by-step explanation:

It is just 60 I did my work lol

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3 years ago
An average rate of change of 2 and has a value of 0 when x=-1
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Teh answer is 4 cm^2
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What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept(0,-8)?
katen-ka-za [31]

Answer:

y = 1/4x -8

Step-by-step explanation:

First find the slope of the line

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Subtract x from each side

x-4y -x = -x+3

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Divide each side by -4

-4y/-4 = -x/-4 +3/-4

y = 1/4 x -3/4

This is in the form y= mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x +b

we know the y intercept is -8

y = 1/4x -8

8 0
4 years ago
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