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2 months ago

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2 months ago

The answer to this equation is the problem **3x - y = 12**

Question

The surface area of a sphere is S(x) = 4πx2, where x is the length of the radius of the sphere. Restrict the domain to create a one-to-one function. Find and describe the inverse function

Solution 1

Given that the surface area of the sphere is S(x)=4πx², the inverse function will be obtain as follows: make x the subject of the function

S(x)/(4π)=x²

get the square root of both sides:

x=√[S(x)/(4π)]

replace x by S⁻¹(x) and S(x) by x

this will give us the inverse as :

S⁻¹(x)=√[x/(4π)]

The above implies that the inverse is the square root of the radius divided by 4π

S(x)/(4π)=x²

get the square root of both sides:

x=√[S(x)/(4π)]

replace x by S⁻¹(x) and S(x) by x

this will give us the inverse as :

S⁻¹(x)=√[x/(4π)]

The above implies that the inverse is the square root of the radius divided by 4π

Solution 2

**Answer:**

The answer is** **** . **

**Step-by-step explanation:**

The input of is the surface area of a sphere; the output is the length of the radius.

Question

Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1

Solution 1

2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1

plug in

= 2(-3) - [4(2)- 3] + 5(-3)(-1)

= -6 - 5 + 15

= 4

answer

4

plug in

= 2(-3) - [4(2)- 3] + 5(-3)(-1)

= -6 - 5 + 15

= 4

answer

4

Question

When ordering a student desk priced at $69.00, the shipping charges are 6%. What is the total cost of the desk?

Solution 1

Since the desk is $69.00 and the shipping charges are 6%

69*.06= 4.14

Your tax would be $4.14 so,

$4.14+$69.00= A total of $73.14

69*.06= 4.14

Your tax would be $4.14 so,

$4.14+$69.00= A total of $73.14

Solution 2

Shipping charges = 6% x $69 = 0.06 x 69 = $4.14

Total cost = $69 + $4.14 = $73.14

**Answer: $73.14**

Total cost = $69 + $4.14 = $73.14

Question

A cross-section of a light reflector is a parabola. The bulb is located at the focus. Suppose the bulb is located 11 in from the vertex of the reflector. Use this information to make the following determinations.
Model a cross section of the reflector by writing an equation of a parabola that opens upward and has its vertex at the origin.

Solution 1

An **equation **of a **parabola **that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now,

The equation of the **parabola **turned to the left is to the negative side of the coordinate system is:

⇒ y² = - 2 p x

where, p is the **parameter **of the parabola

The relationship between the parameter and the **focus **is.

⇒ p = 2 f

=> p = 2 × 2

⇒ p = 4 cm

Then, the **equation** of the parabola is:

y² = - 2 p x

= - 2 × 4 x

= - 8 x

Therefore, An **equation **of a **parabola **that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

Learn more about the **multiplication **visit:

#SPJ3

Solution 2

point on the parabola reflector is (1,1/4) using your second part of the descriptio hat is 1 inch on each "side" in the cross section at the bulb. That makes the two inch cross sectional

Question

What are the roots of the polynomial equation x^3-6x=3x^2-8?

Solution 1

The roots of polynomial

x=4, 1,-2

x=4, 1,-2

Question

The histogram shows the number of days spent by families at the Grand Lodge during the summer season. Which statement is best supported by this histogram? NO GUESSING PLEASE HELP ASAP!!!
A. Most families stayed 3-4 days.
B. Two families stayed 20 days.
C. All families stayed more than 1 day.
D. Twenty families stayed longer than 2 days
I wish I can show you a picture, but I can't :(
Just please answer please!!!

Solution 1

D. twenty families stayed longer than 2 days. For sure just took the test

Question

You have the opportunity to lease space for your business with a fixed-rate lease. The property owner has proposed a five-year lease with a rent of $4,000 per month. How much is the rent per year? How much is the rent over the life of the lease?

Solution 1

$48,000/year, $240,000 total

Question

A plane left Chicago at 8 A.M. At 12 P.M., the plane landed in Los Angeles, which is 1,700 miles away. If the plane travels at a constant rate, how many miles did it travel per hour?

Solution 1

First find the amount of time:

12 pm - 8 am = 4 hours

now divide the total miles traveled by the amount of time travleed:

1700 miles / 4 hours = 425 miles per hour

12 pm - 8 am = 4 hours

now divide the total miles traveled by the amount of time travleed:

1700 miles / 4 hours = 425 miles per hour

Question

Write the linear equation 5x-15y=-8 in slope-intercept form.

Solution 1

5x - 15y = -8

15y = 5x - 8

**Answer: 15y = 5x - 8**

15y = 5x - 8

Solution 2

Hello!

Slope-intercept form is y = mx + b

You have to get the equation into this format

5x - 15y = -8

Subtract 5x from both sides

-15y = -5x - 8

Divide both sides by -15

y = 1/3x + 8/15

The answer is

Hope this helps!

Slope-intercept form is y = mx + b

You have to get the equation into this format

5x - 15y = -8

Subtract 5x from both sides

-15y = -5x - 8

Divide both sides by -15

y = 1/3x + 8/15

The answer is

Hope this helps!

Question

You want at least three bratwursts or hamburgers for each of your 20 guest

Solution 1

60 hamburgers or

bratwursts

bratwursts

Solution 2

If you put three bratwursts or hamburgers for 20 guest you get 60 bratwurst or hamburgers

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