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Sergeu [11.5K]
2 years ago
10

What iis the square root of 158

Mathematics
2 answers:
IrinaVladis [17]2 years ago
6 0
158 is not a perfect square
About 12.5698051
never [62]2 years ago
3 0

Answer:

The answer is 12.56, which can be rounded to 12.7 or 13. :)

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A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
lakkis [162]

Answer:27


Step-by-step explanation:6.5 you multiply by 413 than divided 100


7 0
3 years ago
(1 point) A student was asked to find the equation of the tangent plane to the surface z=x2−y3 at the point (x,y)=(5,1). The stu
Nonamiya [84]

Answer:

Options a and d are the correct ones.

Step-by-step explanation:

The complete question is as follows

A student was asked to find the equation of the tangent plane to the surface z = x^2-y^3 at the point (x,y)=(5,1). The student's answer was  z = 24+2x(x-5)-3y^2(y-1). (a) At a glance, how do you know this is wrong. What mistakes did the student make? Select all that apply.

a) The answer is not a linear function

b) The (x-5) and (y-1) should be x and y

c) the 24 should not be in the answer

d) the partial derivatives were not evaluated at the point

e) all of the above.

Recall that, given a surface of the form z=f(x,y) where f is differentiable, then at a given point (x_0,y_0) we can find the equation of the tangent plane by

z=f(x_0,y_0)+\frac{df}{dx}(x_0,y_0) (x-x_0)+\frac{df}{dy}(x_0,y_0) (y-y_0)

We are given that (x_0,y_0) = (5,1) Note that f(5,1) = 24. Then, c is not true. Also, the formula says that we must have the factors (x-5) and (y-1), since we are evaluating the tangent plane in a neighborhood of that point, hence option b is not true. Since B and C are not true, then E is not true. Note that the given function by the student has a mutiplication of 2x and (x-5) which will give us the function 2x^2-10 which is of degree two. Then, the function given by the student is not a linear function, since linear functions have a degree at most 1. Finally, we must check that d is also true.

REcall that

\frac{df}{dx} = 2x, \frac{df}{dy} = -3y^2

so we see that this coincide with the the terms that multiply the factors (x-5) and (y-1) respectively, which tell us that even though the student was trying to follow the formula, he/she forgot to evaluate the partial derivatives at the given point, hence the option D is also true.

Recall that if we want the tangent plane at the point given, we must evaluate the partial derivatives at x=5 and y=1. Hence, the formula of the tangent plane is

z = 24+10(x-5)-3(y-1)

5 0
3 years ago
Colton swam once along the length of a pool that has a perimeter of 124 yd. The width of the pool is 20 yd. How many feet did Co
Vesna [10]
If I could give you an answer, I would. But I'm terrible at Math so, sorry
3 0
3 years ago
Read 2 more answers
A rectangle has a width of 10 feet and a length of 40 feet. What is the length of the side of a square with the same area?
never [62]
First find the area of the rectangle: 10 * 40 = 400

Now, since the square has the same area, we'll find the side lengths of the square by just finding the square root of 400 which is 20. You can do this with a calculator. So the side length of any side on the square is 20.
3 0
2 years ago
Find the Area, I'm pretty sure you suppose to add them all up but my teacher is saying it's wrong
Alexxx [7]
The answer to your question is 6.
5 0
2 years ago
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