Determine the domain and range for t (x) = -(x +10)2

Lana71 [14]

Answer: A proper subset is one that contains few elements of the original set whereas an improper subset, contains every element of the original set along with the null set.

4 0

3 years ago

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This right circular cone has a volume of 75π cubic inches. The height of the cone is 9 inches. What is the length of the radius?

sukhopar [10]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
V=75\pi \\
h=9
\end{cases}\implies 75\pi =\cfrac{\pi r^2\cdot 9}{3}\implies 75\pi =3\pi r^2
\\\\\\
\cfrac{75\pi }{3\pi }=r^2\implies 25=r^2\implies \sqrt{25}=r\implies 5=r$

3 0

3 years ago

brad built 1/4 of a model airplane on monday and 2/3 of it on tuesday. he finished building the airplane on wednesday. what frac

Inessa05 [86]

Teh answer is 1/12. 1/4+ 2/3 is 11/12. First, you need to find the common denominator of 4 and 3, and that is 12.Then, you multiply 1*3 because 4*3 is 12.You then have the fraction of 3/12. Then, you multiply 2*4 because again, what you do to the top, you also do to the bottom, so you would also have the fraction of 8/12.The rest is easy. 3/12 + 8/12 is 11/12.And the missing piece of 11/12 is 1/12, because that made it whole.
Hope that helps!

6 0

3 years ago

Right Thangles & Pythagorean Theorem

weqwewe [10]

The ship Y traveled 240 miles which is option C).

Step-by-step explanation:

It is instructed to use Right Triangles & Pythagorean Theorem in order to find the solution.

So, the right angle has three sides namely, the base, the height and the hypotenuse.

The given data are,

Two ships leave port at the same time.

Ship X is heading due north ⇒ Take it as "height" of the right triangle.
Ship Y is heading due east ⇒ Take it as "base" of the right triangle.

They were 400 miles apart after 8 hours which forms the "hypotenuse" of the right triangle.

Hypotenuse = 400 miles.

Ship X had traveled 320 miles from the port in 8 hours. Therefore,

Height = 320 miles.

To find the miles ship Y traveled in 8 hours :

You can easily find the base of triangle which gives the number of miles traveled by ship Y in 8 hours.

Using Pythagorean Theorem, you can find the base : 

The Pythagorean triplets is (3,4,5).

We know that, in a right triangle, hypotenuse is the largest side of all the three sides.

The hypotenuse is 400 miles ⇒ 5×(80) = 400

The height is 320 miles ⇒ 4×(80) = 320

Then, the base will be 3×(80) = 240 miles.

Therefore, the ship Y traveled 240 miles in 8 hours.

6 0

3 years ago

I need help with this algebra question. 4 (x - b) =x

LekaFEV [45]

4 (x - b) = x Use the DIstributive Property [(4(x) - 4(b)]
4 x - 4b = x Add 4b to both sides
4x = 4b + x Subtract x from both sides
3x = 4b Divide both sides by 3
x = $\frac{4b}{3}$

4 0

4 years ago

Determine the domain and range for t (x) = -(x +10)2 - 64