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jenyasd209 [6]
4 years ago
12

Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:

Mathematics
1 answer:
Tanzania [10]4 years ago
5 0
Convert 10% into a decimal 
(0.1)^{2} - (5%)^{2}

Remove parentheses around 0.1
0.1^{2}-(5%)^{2}

Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}

Convert 5% to a decimal
0.01-(0.05)^{2}

Remove parentheses around 0.05
0.01-0.05^{2}

Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025

Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025

Subtract 0.0025 from 0.01 to get 0.0075

You Answer is: 0.0075

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Convert 45 miles per hours to feet per minutes
Gnoma [55]

Answer:

3960 feet per minute

Step-by-step explanation:

multiply the speed value (45) by 88

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3 years ago
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A pet supply store sells a 20-pound bag of dog food $23.44.Find the unit price.
satela [25.4K]

Answer:

1.172 dollars per pound

Step-by-step explanation:

Given : A pet supply store sells a 20-pound bag of dog food $23.44.

To Find :Find the unit price.

Solution :

Cost of 20-pound bag of food = $23.44

So, Cost of 1-pound bag of food = \frac{23.44}{20}

                                                     = 1.172

For unit price we should divide the cost by no. of pounds

So, the error is you have divided the no. of pounds by cost

Hence the unit price is 1.172 dollars per pound

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4 years ago
What is the surface area for the figure, in square centimeters?
Feliz [49]

Answer:

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6 0
3 years ago
Help please
Oksanka [162]
Ok so B is 78 - 26 = x
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8 0
3 years ago
Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
4 years ago
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