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Scorpion4ik [409]
2 years ago
9

An animal shelter had 28 puppies. If the puppies are 28℅ of the total dog and cat population, how many dogs and cats are in the

animal shelter?​
Mathematics
1 answer:
likoan [24]2 years ago
3 0

Answer:

100

Step-by-step explanation:

If 28% of the population is 28, then we can set up this formula:

0.28 * x = 28

because 0.28 is 28% in decimal form.

When you solve for x,

x = 100

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
Solve F=D+Drt for t.....
Anuta_ua [19.1K]

Answer:

t = \frac{-D+F}{Dr}

Step-by-step explanation:

Step 1: Flip the equation.

  • Drt + D = F

Step 2: Subtract D from both sides.

  • Drt + D - D = F - D
  • Drt = -D + F

Step 3: Divide both sides by Dr.

  • \frac{Drt}{Dr} = \frac{-D+F}{Dr}
  • t = \frac{-D+F}{Dr}

6 0
2 years ago
Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.
ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0
2 years ago
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the nu
Burka [1]

Answer:

16:60 = 4/15

Step-by-step explanation:

3 0
3 years ago
A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Westkost [7]

Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

6 0
2 years ago
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