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3 years ago

A skateboard shop has 9 skateboards that sell for $107.99 each. Which is closest to the total cost of all the skateboards?

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

971.91

Step-by-step explanation:

you take 107.99 and multiply it by 9 and you will get 971.91

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26 cm

cupoosta [38]

Answer:

82cm

Step-by-step explanation:

26+26+15+15=82

5 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

3 years ago

Solve for x, x^2-3x-5=0

Sophie [7]

Okay so for this one, we have to isolate our X.Lets start by moving the negative 5 on the other side of the equal sign. Remember to not mix a number that is with an X with a normal number (in this case it would be the -3x and the -5). So in putting our -5 on the other sign it becomes positive. Here’s what we have: x^2-3x=5. x^2 is the same thing as 2x.So now you have to minus 3x off of your 2x. This gives us -1x, but can just be put as -x. So now we have -x=5. You’re answer could either be 5 or -5 if you decided to divide it by -1 seeing as your -x is technically -1.

7 0

4 years ago

Question 7

umka21 [38]

Answer:

A. √16

Step-by-step explanation:

A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.

From the options given, the only radical expression that has two perfect square is √16.

√16 consists of two perfect squares, which are 4 and 4.

4 can be expressed as 2 × 2.

Thus: √16 = √(2 × 2)(2 × 2).

Therefore, √16 consists of two perfect squares.

5 0

3 years ago

As x increases by 1 unit, what is the exponential growth factor??

san4es73 [151]

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

$y=ab^x$ ...(i)