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anyanavicka [17]
3 years ago
11

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in

the store?
Mathematics
1 answer:
user100 [1]3 years ago
8 0

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

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A washer and a dryer cost $676 combined. The washer costs $74 less than the dryer. What is the cost of the dryer?
Arlecino [84]

Answer: The dryer cost $375.

Step-by-step explanation:

676 - 74 = 602

602/2 = 301

301 + 74 = 375

3 0
3 years ago
For population parameter μ = true average resonance frequency for all tennis rackets of a certain type, each of these is a confi
Andreyy89

Answer:

X[bar]= 115

Step-by-step explanation:

Hello!

Every Confidence interval to estimate the population mean are constructed following the structure:

"Estimator" ± margin of error"

Wich means that the intervals are centered around the sample mean. To know the value of the sample mean you have to make the following calculation:

X[bar]= \frac{Upper bond + Low bond}{2}

X[bar]= \frac{115.6+114.4}{2} = 115

Since both intervals were calculated with the information of the same sample, you can choose either to calculate the sample mean.

I hope it helps!

5 0
3 years ago
Sophie takes tap and ballet.
Oksanka [162]
1 1/4 hours. When you add them that’s what you get.
4 0
3 years ago
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Find the measure of the missing angle.<br> 42°
ella [17]
90° angle

90° - existing 42°

the missing angle is 48°
8 0
2 years ago
Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation
stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

Example:- \frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

Step-by-step explanation:

<u>Partial differentiation</u>:-

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

The total differential co-efficient

d z = δ z/δ x +  \frac{dy}{dx} δ z/δ y

<u>Implicit differentiation process</u>

  • differentiate both sides of the equation with respective to 'x'
  • move all d y/dx terms to the left side, and all other terms to the right side
  • factor out d y / dx from the left side
  • Solve for d y/dx , by dividing

Example :  x^2 + x y +y^2 =1

solution:-

differentiate both sides of the equation with respective to 'x'

2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0

move all d y/dx terms to the left side, and all other terms to the right side

x \frac{dy}{dx}  + 2y\frac{dy}{dx} =  - (y+2x)

Taking common d y/dx

\frac{dy}{dx} (x+2y) = -(y+2x)

\frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

7 0
3 years ago
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