Answer:
Step-by-step explanation:
<u>The line has points:</u>
<u>It has y-intercept b = -3 and a slope:</u>
<u>The equation:</u>
<u>It inverse is (let's call it g(x)):</u>
- x = 3y - 3
- 3y = x + 3
- y = 1/3x + 1
- g(x) = 1/3x + 1
The slope of the inverse function is 1/3 and the y-intercept is 1
The graph reflecting this is A
Answer: See explanation: 10, 1, 1, -7
Step-by-step explanation:
I'll assume you are working with Excel. The Product function multiplies all the cells given in the specified range. Here, those are cells A2 through A5. As presnted, this would be [10*5*0*(-7)] = 0, which is the value of cell B2. If we want cell B2 to be -70, we must change one or more of the numbers in cells A2 to A5.
Initial: 10, 5, 0, -7 B2=0
Change: 10, 1, 1, -7 B2 = -70
Other combinations are possible.
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
Idont under stand this thanks
Answer:
The minimum amount of rubber needed is 1,134 square inches
Step-by-step explanation:
we know that
The surface area of a sphere (basketball ) is given by the formula
we have
----> the radius is half the diameter
substitute
Multiply by 4 (because are four basketballs)
therefore
The minimum amount of rubber needed is 1,134 square inches
