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3 years ago

He price of an item has been reduced by 15%. The original price was $35.

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

7 0

15% of $35 is 5.25. 35- 5.25 = $29.75

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Molly charges an hourly fee to watch a pet plus an initial fee

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Answer:

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140

Step-by-step explanation:

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3 years ago

) Himari is solving the equation 4 (x - 3) = 16. Her first step is 4x - 12 = 16.

olganol [36]

I think it’s only 1 and 2.

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2 years ago

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a right triangle has a hypotenuse measuring 13 centimeters and one leg measuring 5 centimeters. What is the lenght in centimeter

alexandr1967 [171]

Answer:

12 cm

Step-by-step explanation:

So the Pythagorean Theorem states $a^{2} +b^{2} =c^{2}$

If we know what c and a are, we can solve for b by doing

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$b = \sqrt{144}$

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3 years ago

Find the directional derivative of at the point (1, 3) in the direction toward the point (3, 1). g

Anika [276]

Complete Question:

Find the directional derivative of g(x,y) = $x^2y^5$ at the point (1, 3) in the direction toward the point (3, 1)

Answer:

Directional derivative at point (1,3), $D_ug(1,3) = \frac{162}{\sqrt{8} }$

Step-by-step explanation:

Get $g'_x$ and $g'_y$ at the point (1, 3)

g(x,y) = $x^2y^5$

$g'_x = 2xy^5\\g'_x|(1,3)= 2*1*3^5\\g'_x|(1,3) = 486$

$g'_y = 5x^2y^4\\g'_y|(1,3)= 5*1^2* 3^4\\g'_y|(1,3)= 405$

Let P = (1, 3) and Q = (3, 1)

Find the unit vector of PQ,

$u = \frac{\bar{PQ}}{|\bar{PQ}|} \\\bar{PQ} = (3-1, 1-3) = (2, -2)\\{|\bar{PQ}| = \sqrt{2^2 + (-2)^2}\\$

$|\bar{PQ}| = \sqrt{8}$

The unit vector is therefore:

$u = \frac{(2, -2)}{\sqrt{8} } \\u_1 = \frac{2}{\sqrt{8} } \\u_2 = \frac{-2}{\sqrt{8} }$

The directional derivative of g is given by the equation:

$D_ug(1,3) = g'_x(1,3)u_1 + g'_y(1,3)u_2\\D_ug(1,3) = (486*\frac{2}{\sqrt{8} } ) + (405*\frac{-2}{\sqrt{8} } )\\D_ug(1,3) = (\frac{972}{\sqrt{8} } ) + (\frac{-810}{\sqrt{8} } )\\D_ug(1,3) = \frac{162}{\sqrt{8} }$

8 0

2 years ago

Show work for answer please

Ghella [55]

Answer:

x = - 3

Step-by-step explanation:

Given

7 + x - 3 = x - 5 - 3x ( simplify both sides )

4 + x = - 2x - 5 ( add 2x to both sides )

4 + 3x = - 5 ( subtract 4 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

8 0

3 years ago