Answer:
19
Step-by-step explanation:
He gets 6 wrong and 19 correct
Answer: The <u>ten ounce drink</u> is a better deal.
The Explanation: Why? Well, since you are getting 10 ounces of a drink you spend only 32 cents on each ounce whereas with the 6 ounces you end up spending 36 cents per ounce. You might be spending more money on the ten ounces but when you break down the cost of the drink per ounce you figure out that it is the best deal possible!
The <u>correct answers</u> are:
<u>Perpendicular cross-section of a pyramid is a triangle</u>.
<u>Perpendicular cross-section of an oblique cylinder is an ellipse.</u>
<u>Parallel cross-section of a sphere is a circle.</u>
<u>When a rectangle is rotated about the y-axis, a cylinder is formed.</u>
<u>When a right triangle is rotated about the y-axis, a cone is formed.</u>
Explanation:
Cutting a <u>cross-section of a pyramid</u> perpendicular to the base would form a triangle. Your "slice" would go from the apex of the pyramid straight to the base. Where the cut goes through the slanted faces of the pyramid would form the slanted sides of the triangle. Where the cut goes through the base of the pyramid would make the base of the triangle.
Cutting a <u>cross-section of an oblique (non-right) cylinder</u> would form an ellipse (oval). Since the cylinder is not right, it is slanted. This means going perpendicular to the base of the cylinder would not go straight (horizontally) through the cylinder; instead it slants, which "stretches" the cross-section, forming an ellipse.
Any <u>cross-section of a sphere</u> is a circle, since a sphere is perfectly round with no base.
When <u>rotating a rectangle</u> about the y-axis, imagine rotating a piece of paper. The shape formed by doing this would "bend" the rectangle around the axis, forming a cylindrical shape.
When <u>rotating a triangle</u> about the y-axis, we can imagine the same situation we did with the rectangle; the difference is that the triangle goes in a point, which means this new figure will be as well. This would make it a cone rather than a cylinder.
Answer:
give x a value, make sure that the answer of the equation inside the absolute value is less than or equal to 7
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logb 5 = 0.41
<span>logb 125 = logb 5^3 </span>
<span>logb 125 = 3*logb 5 </span>
<span>logb 125 = 3*0.41 </span>
<span>logb 125 = 1.23 </span>