Find the value of the expression: 70–a^2 for a=–25; 1; 10
Answers
Answer:
- a = -25: -555
- a = 1: 69
- a = 10: -30
Step-by-step explanation:
Put the value where "a" is in the expression and do the arithmetic.
- For a = -25: 70 - (-25)² = 70 - 625 = -555
- For a = 1: 70 - (1)² = 70 - 1 = 69
- For a = 10: 70 - (10)² = 70 - 100 = -30
_____
If you're unsure of your own arithmetic skills, you can always use a calculator.
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2/3x - 4 = -2
A) -3
B) -4
C) -9
D) 3
Answers
Answer:
D) 3
carollnx talk me
............ that is the correct options
Answer:
D) 3
be confident to answer any questions
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answers
Answer:
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values
Answers
Answer:
2x
Step-by-step explanation:
Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.
Answers
Answer:
L1 and L2 are skew
Step-by-step explanation:
Since the equation of the line is
L1:x=9+6t,y=12-3t,z=3+9t
L2:x=4+16s, y=12-8s, z=16+20s
then if they intersect each other , they will have both in that point P=(xp , yp ,zp) then
1)9+6t = 4+16s
2) 12-3t =2-8s
3) 3+9t = 16+20s
adding 2*2) to 1)
9+6*t + 24-6t = 4+16*s + 4-16*s
33 = 8
since this is not possible , the error comes from our assumption that the lines intersect each other
then they are skew or parallel. They are parallel if their corresponding vectors are parallel , that is
L1 (x,y,z) = (9,12,3) + (6,-3,9)*t
L1 (x,y,z) = (4,2,16) + (16,-8,20)*t
then if they are parallel
(16,-8,20)= k*(6,-3,9)
16=6*k
-8 = -3*k
20= 9*k
since there is no k that satisfy for x , y and z simultaneously then L1 and L2 are not parallel
therefore L1 and L2 are skew
Final answer:
The lines L1 and L2 are neither parallel nor intersecting. Upon comparing their direction vectors and attempting to find a common solution, it is determined that they are skew.
Explanation:
In order to determine whether two lines in three dimensions are parallel, skew, or intersecting, we compare their direction vectors. The given lines L1 and L2 are in the form of parametric equations. The direction vectors for the lines are d1 = <6, -3, 9> for L1 and d2 = <16, -8, 20> for L2. To determine if they are parallel, we check if there is a constant ratio between the corresponding terms. This isn't the case here, so the lines are not parallel.
For skew lines, they neither intersect or are parallel. Since we have already confirmed the lines are not parallel, to confirm if they are skew we must try to find a common solution (point of intersection). If we cannot, then they are skew. However, solving the equations does not give a common solution, so they do not intersect either. Hence, the lines are skew.
Learn more about Analysis of Lines in 3D here:
#SPJ3
Answers
Answer:
see below
Step-by-step explanation:
It can be convenient to graph the given point, then identify additional points on the line based on the slope. The slope of 2/5 tells you the line will have a rise of 2 units for each run of 5 units.
Answers
Full question attached
Answer:
Option C: because the percent of children compared differ too much
Explanation:
Sample Proportion of students from Montessori = students that participated from Montessori /total number of students assigned to Montessori
=30/54= 0.56
Sample proportion of students from other schools = students that participated I'm the study /total number of students assigned to other schools
=25/112
=0.22
We observe that there is a large difference(0.56-0.22) between the two sample proportions hence the bias