To solve this, you need to isolate/get the variable "u" by itself in the inequality: u = unknown number
2u - 3 < 1 Add 3 on both sides
2u - 3 + 3 < 1 + 3
2u < 4 Divide 2 on both sides to get "u" by itself
u < 2 (u is any number less than 2)
When the inequality sign is >/< (greater than/less than), the dot/endpoint is an open/unfilled circle.
When the inequality sign is ≥/≤ (greater than or equal to/less than or equal to), the dot is a closed/filled circle.
u < 2
Start making a ray by placing an open circle on 2(click on the dot/endpoint to change it to be open if it isn't already), then have the ray point left where the numbers would be decreasing because "u" is any number less than 2. If you can place the end of the ray at the end of the number line.
4.5 mph (aka 4 and 1/2 mph)
Answer:
x = 50°
Step-by-step explanation:
sum of all angles of a quadrilateral is 360°
so, the other unknown angle be y
=》y + 40° + 110° + 80° = 360°
=》y + 230° = 360°
=》y = 360° - 230° = 130°
and the unknown angle + x = 180°
( because they for linear pair )
so, x + y = 180°
x + 130° = 180°
x = 180° - 130° = 50°
hence, x = 50°
1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
I assume the sentences:
"23 employees speak German; 29 speak French; 33 speak Spanish"
mean these speak ONLY the respective languages other than English.
Then the calculations boil down to those who speak ONLY two languages, noting that 8 speak French, German and Spanish, which need to be subtracted from
1. French and Spanish: 43-8=35 (speak only two foreign languages)
2. German and French: 38-8=30 (speak only two foreign languages)
3. German and Spanish: 48-8=40 (speak only two foreign languages).
Now We add up the total number of employees:
zero foreign language = 7
one foreign language = 23+29+33=85
two foreign languages = 30+35+40=105
three foreign languages=8
Total =7+85+105+8=205
(a) Percentage of employees who speak at least one foreign lanugage = (85+105+8)/205=198/205=.966=96.6%
(b) Percentage of employees who speak at least two foreign lanugages = (105+8)/205=113/205=.551=55.1%
