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REY [17]
3 years ago
13

PLS HELP 30 POINTS URGENT!!!!!!!

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

40x = 1800 +25x

Step-by-step explanation:

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Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0
3 years ago
A right triangle ABC is shown below: The area of the triangle above will equal one-half of a rectangle that is 5 units long and
wlad13 [49]

Answer:

2 units wide. area=1/2 of 5 x 2. so, 5 x 2 is 10. whats half of ten? 5. the area of the triangle is 5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I shall give the right answer brainliest
Daniel [21]

\text{Given that,}\\\\\text{Diameter of the Sun} = 1.4\times 10^6 ~ \text{km}\\\\\text{Diameter  of Mercury} = 5000 ~ \text{km} = 5 \times 10^3 ~ \text{km}\\\\\text{The ratio,}\\\\(1.4\times 10^6): (5\times 10^3)\\\\=\dfrac{1.4 \times 10^6}{5\times 10^3}\\\\= 0.28 \times 10^3\\\\=2.8 \times10^2

5 0
3 years ago
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Which of the terms are like terms?<br> 4x and 3y<br> 4x and -2x<br> 3y and -2x
gregori [183]

Answer:

4x and -2x

Step-by-step explanation:

They have 2 of the same variable unlike the others

8 0
3 years ago
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The tables show how the dollar to euro conversion rate changed during one day.
Lana71 [14]

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

8 0
3 years ago
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