Answer:
Step-by-step explanation:
In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.
We know that,
- 4/3πr³ = Volume of a sphere
Now, Substituting the values in the fomulae :
⇒ 4/3πr³ = 4500π
Cancelling π from both sides :
⇒ 4/3r³ = 4500
⇒ 4r³ = 4500 × 3
⇒ 4r³ = 13500
⇒ r³ = 13500/4
⇒ r³ = 3375
Taking cube root on both sides we get :
⇒ r = 15
Therefore,
- <u>The radius of the sphere is 15 yards</u>
Answer:
{12,2}
Step-by-step explanation:
From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).
If initial point of a vector is
and terminal point is
, then

Using this formula, we get



Using braces, we get

Therefore, the required vector is {12,2}.
9 I think because 1/4 needs to have 4 of those to be a whole so yeah 9.
Answer:
y = 14x -30
Step-by-step explanation:
The slope intercept form is:
y = mx + b,
Slope intercept form is useful for finding the slope and y intercept of a line, hence why it is called "slope intercept" because it is easy to see the slope and the y intercept of a line in this form. Since the slope denoted by m, and y intercept denoted by b are clearly given.
y + 2 = 7(2x - 4)
Distribute 7 across the parentheses by multiplying x and 2x and 4 by 7.
y+2 = 14x - 28
subtract 2 from both sides. This cancels the 2 on the left and moves it to the right, while keeping the equation balanced.
y+2 -2 = 14x - 28 -2
y = 14x - 30
y = 14x -30
As you can see our y = 14x -30 now looks like the point slope equation we had above. m = 14, and b = -30. This means the line goes up 14 for every single unit you move to the right, and intersects the y axis at (0, -30).
Please mark me brainliest.
First order the numbers then cross out the numbers till in the middle the numbers 6.4 and 6.7 add then divide by two to get the middle and the median
13.1/2 =6.55
Answer:6.55
1.1
1.2
4.2
4.2
6.4
6.7
7.3
7.3
8
9.3