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LiRa [457]
3 years ago
6

Find the value of this expression x=3

Mathematics
1 answer:
pychu [463]3 years ago
5 0

There is only 1 number equal to 3 and that is 3.

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What is the geometric mean og 6 and 13
lara31 [8.8K]

Answer:

The answer is

Step-by-step explanation:

6 0
3 years ago
Find the equation of the circle with center at (-1, 3) and radius of 4.
Nataly [62]

Answer:

(x+1)^2 + (y-3)^2 = 16

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x--1)^2 + (y-3)^2 = 4^2

(x+1)^2 + (y-3)^2 = 4^2

(x+1)^2 + (y-3)^2 = 16

7 0
3 years ago
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's
zloy xaker [14]
Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4. 

\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}
\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}
\frac{12}{12} - \frac{10}{12} = \frac{2}{12}

It can then be concluded that each parent ate \frac{1}{12} of the cake, since there was \frac{2}{12} remaining. 

You can check this answer by adding up all of the parts we used in this problem:

\frac{3}{12} + \frac{3}{12} + \frac{4}{12} +  \frac{1}{12} +  \frac{1}{12} = \frac{12}{12}

Hope this helped you out! :-)
3 0
3 years ago
Use the graph below to answer the question that follows:
snow_lady [41]

Answer:

  D)  Amplitude: 2; period: π; midline: y = 1

Step-by-step explanation:

The question is much more easily answered from the graph than from the description of the graph.

The amplitude is the extent of the peak above the midline (2), or half the peak-to-peak value (4/2=2). The midline is the line halfway between the peaks (1). The period is the horizontal distance between peaks of the same polarity (π).

7 0
4 years ago
Read 2 more answers
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