Answer:
C
Step-by-step explanation:
Given
5x + 7 ≤ - 3 or 3x - 4 ≥ 11
Solve the inequalities either side of the or
5x + 7 ≤ - 3 ( subtract 7 from both sides )
5x ≤ - 10 ( divide both sides by 5 )
x ≤ - 2
or
3x - 4 ≥ 11 ( add 4 to both sides )
3x ≥ 15 ( divide both sides by 3 )
x ≥ 5
Solution is x ≤ - 2 or x ≥ 5 → C
Answer:
Prospective study
Step-by-step explanation:
Also known as a cohort study, the type of study that follows a certain group of individuals over time to reach conclusions about the data gathered at a future date is called a prospective study. Since the aim of this study is to see who develops cancer in the future, this is a clear example of a prospective study.
Answer:
3
Step-by-step explanation:
Since we know QR and RS are the same, we can add them together
6 + 6 = 12
Since the whole line is 15 we subtract 12 from 15
15 - 12 = 3
Answer:
1730 in³
Step-by-step explanation:
The figure can be considered to be composed of two rectangular prisms. Since they both have the same depth (front-back dimension of 10 in), we can find the volume by multiplying that value by the area of the front face.
The front face can be divided by its horizontal line into two rectangles. The top one is shown as 5 in high. Its width is 18 -5 = 13 in, so its area is ...
A = HW = (5 in)(13 in) = 65 in²
The bottom rectangle of the front face is shown as 6 in high and 18 in wide, so its area is ...
A = HW = (6 in)(18 in) = 108 in²
Then the total front-face area is (65 +108) = 173 in², and the volume is ...
V = Bh = (173 in²)(10 in) = 1730 in³ . . . . volume of the aquarium
Answer:
57, 57, 66
Step-by-step explanation:
This is isosceles, so angle B is the same measure as angle C, and all 3 angles add to 180.
2x+47 + 2x+47 + 3x+51 = 180
7x + 145 = 180
7x = 35
x = 5
Angles B and C are 2x + 47, so 2(5) + 47 = 57
Angle D is 3x+51, so 3(5) + 51 = 66