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2 years ago

15

EXTREMELY URGENT

1 answer:

Ostrovityanka [42]2 years ago

6 0

Answer:

20.3 units

Step-by-step explanation:

AB/CB = BD/AB

9/CB = 4/9

CB = 9×9/4

CB = 81/4 = 20¼ units

20.25 (20.3 units correct to 1 dp)

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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is

gladu [14]

$\mathbf f$ is conservative if we can find a scalar function $f$ such that $\nabla f=\mathbf f$ . This is equivalent to solving the system of PDEs,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+10y-9$

Integrate both sides of the first PDF with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

where $g$ is some function independent of $x$ . Then differentiatng with respect to $y$ , we have

$\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9$

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3 years ago

Can someone help me on these problems and show work

Salsk061 [2.6K]

The simplified expression are as follows;

6mn³ - mn² + 3mn³ + 15mn² = 9mn³ + 14mn²

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<h3>How to simplify an expression?</h3>

A simplified expression is express to its lowest term.

Therefore,

6mn³ - mn² + 3mn³ + 15mn²

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learn more on simplification here: brainly.com/question/403991

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3 0

1 year ago

What is equivalent to (5x-6) (2x+3) ?

ioda

Option A, because you split the (2x + 3) into 2x and 3.

7 0

3 years ago

Susan spent a total of 45$ at the grocery store I’d this amount she spent $18 on fruit what percentage of the total did she spen

Ivenika [448]

Answer:

40% of the total was spent on fruit

Step-by-step explanation:

100%=45 x=18

100/x = 45/18 Now take the inverse of both sides

x/100 = 18/45

This leads to 1800 = 45x

1800 divided by 45 is equal to 40

The total percentage spent on fruit was 40%

8 0

2 years ago

Melissa wants to purchase a digital camera.The listed price of the camera is $195.99.The camera is no sale for 10% off and Melis

lianna [129]

Answer:

The 10% off sale will save Melissa <u>$10.49</u>.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

$(195.99-5\%\ of\ 195.99)$

$=(195.99-\frac{5}{100}\times 195.99)$

$=(195.99-9.80)$

$=186.19$

Now, adding the sales tax:

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Thus, the price is $199.22.

Now, to get the price of 10% off sale:

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$=195.99-\frac{10}{100} \times 195.99$

$=176.39$

So, adding sales tax:

$176.39+7\%\ of\ 176.39$

$=176.39+\frac{7}{100} \times 176.39$

$=188.73$

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

$199.22-188.73$

$=10.49$

Therefore, the 10% off sale will save Melissa $10.49.

7 0

2 years ago