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2 years ago

Please help. quickly if possible

Mathematics

2 answers:

Mariulka [41]2 years ago

8 0

C

7x18 divided by 2 equals 63
18x22=396
63+396=459

Kay [80]2 years ago

3 0

Answer:

C 459cm2

Step-by-step explanation:

You multiply the area of the square first and add that to the area of the two right triangles.

Area of the square - Bh = 22(18) = 396

Area of ONE right triangle - 1/2bh h = 7 b = the base of the triangle

Look at the bottom of the square (18 cm) and divide that by two to get the base of the triangle

1/2(9)(7) = 31.5

Area of BOTH right triangles - 31.5(2) = 63

Total Area - Then you add 396 to 63 and you get 459 cm2, or C, which is the answer

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How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

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2 years ago

PLS HELP! DUE SOON!!! Middle school question.

Kobotan [32]

She can make 2.2 bracelets an hour

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2 years ago

QUESTION :-

Galina-37 [17]

Answer:

92000

Step-by-step explanation:

Given:

I = 5% = 0.05
t = 2 years
Let the sum is x.

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SI = x*2*0.05 = 0.1x

Compound interest:

CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x

The difference is 230:

0.1025x - 0.1x = 230
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3 years ago

A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?

mart [117]

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(x^1, y^1) (x^2, y^2)
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10-7/ 2- (-1)
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I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.

x y
-1 7
0 8
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The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8

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3 years ago

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MrRissso [65]

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Step-by-step explanation:

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2 years ago