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2 years ago

Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.

Mathematics

1 answer:

ELEN [110]2 years ago

6 0

$\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8$

$\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11$

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Will give brainliest.

lesya692 [45]

Answer:

1. y = $\frac{-A}{By}$ x + $\frac{C}{By}$

2. Divide the Opposite of A and B

3. Doesn't make sense the y-intercept is C/By sry I can't help that one

Step-by-step explanation:

1. Ax + By = C

By = -Ax + C

y = $\frac{-A}{By}$ x + $\frac{C}{By}$

2. No explanation

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2 years ago

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ElenaW [278]

Answer:

a) A dozen= 24

3 dozen= 24 x 3

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A dozen cost= 24

So, 1 banana cost= 24/12

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2 years ago

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

3 years ago

Read 2 more answers

35/16as decimal to the nearest hundredth

madreJ [45]

35/16 is equal to 2.18

5 0

2 years ago

How many times does 4/5 go into 18/25?

Vinvika [58]

Answer: 9/10 times

Step-by-step explanation:

Hi, to answer this question we simply have to divide 18/25 by 4/5

Mathematically speaking:

18/25 ÷ 4/5 = (18 x 5) / (25 x 4) = 90/100 = 9/10

In conclusion, the answer is 9/10 times.

Feel free to ask for more if needed or if you did not understand something.

6 0

2 years ago