Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if :
then:
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,
Where, a is the side length.
The volume of the a hexagon glass is,
Where, A is area of base of hexagon and h is height of the hexagon glass.
Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.
The tangent function gives the ratio of vertical to horizontal distance in this case.
.. vertical distance = (horizontal distance)*tan(angle of depression)
.. = (40 m)*tan(50°)
.. vertical distance ≈ 47.7 m
Answer:
Step-by-step explanation:
a
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so