Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Remember that the radicand must be greater than or equal to zero
so

solve for x
subtract 2 both sides

The domain is the interval [-2,∞)
All real number greater than or equal to -2
For x=-2

so
The range is the interval [0,∞)
All real number greater than or equal to 0
Find the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
For x=0



The y-intercept is the point (0,4.243)
therefore
The graph in the attached figure
Answer:
135/14
9 9/14
Step-by-step explanation:
29/7+11/2
The total height of the building in question is;
600 ft
<h3>Angle of Elevation</h3>
The ledge of a wall is simply a projection from a building.
Now, we are told that this ledge is 300 ft from the building.
- Angle of elevation to the building top = 60°
- Angle of depression to the building bottom = 15°
Now, from the attached image, the distance from the ledge on the building wall to the top of the building is x.
- Thus, by trigonometric ratio;
x/300 = tan 60
x = 300 × 1.732
x ≈ 520 ft
- Similarly, via trigonometric ratio;
y/300 = tan 15
y = 300 × 0.2679
y ≈ 80
Thus;
Height of building = 520 + 80
Height of building = 600 ft
Read more about angle of elevation at;brainly.com/question/2881595
Answer:
(A, B) = (-3, -129).
Step-by-step explanation:
First convert the first equation to slop-intercept form:
x + 5y = 7
5y = -x + 7
y = -0.2x + 1.4
The slope is -0.2 so the slope of the line perpendicular to this line has slope
-1/ -0.2 = 5.
Now, converting the second equation to slope-intercept form:
15x + Ay = B
Ay = -15x + B
y = (-15/A)x + B/A
So the slope -15/A = 5 so A = -3.
So y = 5x + B/-3
Substituting the point (-8, 3)
3 = 5(-8) + B/-3
B/-3 = 43
B = - 129.
Answer:
We can assure the Ann Arbor officials that after look the information we conclude that the mean is 8 h
Step-by-step explanation:
From CI ( 95 % ) = ( 6,7 ; 9,3 )
And the information "large random size sample" we conclude that the population has a normal distribution; a normal distribution has a bell shape curve, and data must spread symmetrically with respect to the mean, therefore the mean is:
6,7 + 9,3 = 16
16/2 = 8
If we need t check we can use the other CI
CI ( 99 % ) = (6,257 , 9,743 )
6,257 + 9,743 = 16
16/2 = 8
We are sure the mean is 8 h