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2 years ago

The owner of Carlisle Construction is a little

Mathematics

1 answer:

romanna [79]2 years ago

8 0

Answer:

The facility's volume in cubic yards is 9000

Step-by-step explanation:

The volume of the facility is given by the multiplication of it's dimensions.

We want the volume in cubic yards, so the dimensions have to be in yards.

Each feet has a third of an yard. So the dimensions are:

120 feet = 40 yards

45 feet = 15 yards

What is the facility's volume in cubic yards?

$V = 40*15*15 = 9000$

The facility's volume in cubic yards is 9000

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What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

Original Equation :
$\sqrt{x} - 5 = x - 11$

New Equation {Added 5 to Both Sides} :
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

Old Equation :
$\sqrt{x} =x-6$

New Equation {Changed by Squaring Both Sides} :
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

So, this means that in the equation $\sqrt{x} -5=x-11$ , x = 9 and x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

2 years ago

What is the solution to 4x^3 – 3x^2 – 7x < 0? A. (–ꝏ, –1) U (0, 1.75) B. (–ꝏ, –1] U [0, 1.75] C. (–1, 0) U (1.75, ꝏ) D. [–1,

Nataly_w [17]

The answer is the third one

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3 years ago

Read 2 more answers

20 POINTS!! ASAP!!! PLEASE!! Use the figure to answer questions 1 and 2. In each diagram, line k is parallel to line l, and line

vaieri [72.5K]

Answer:

see the explanation

Step-by-step explanation:

we know that

Alternate Exterior Angles are created where a transversal crosses two lines. Notice that the two alternate exterior angles are equal in measure if the two lines are parallel

In this problem

$m\angle x=67^o$ ----> by alternate exterior angles

One way to verify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles

5 0

2 years ago

An electric can opener is worth 36 dollars when it is new. After each year, it is worth half what it was the previous year. What

Likurg_2 [28]

So the equation is f(x)=36*(.5)^8, since your principal worth is 36 and it depreciates by 1/2 each year, which is 14 cents.

4 0

2 years ago

Let ƒ(x) = 5x − 4 and g(x) = x2 - 1. Find (ƒ ○ g)(2).

PolarNik [594]

(f ○g ) (2)= 11

Step-by-step explanation:

(f ○g ) (x)= (f(g(x))

= 5( x² -1) – 4

= 5x² – 5 – 4

= 5x² – 9

(f ○g ) (2)= (f(g(2)) = 5 (2)² – 9 = 5(4) – 9 = 20 – 9 = 11

I hope I helped you^_^

4 0

3 years ago