<em>Answer:</em>
<em>8</em>
<em>Step-by-step explanation:</em>
<em>6:0.75</em>
<em>0.75 divided by 0.75=1</em>
<em>6 divided by 0.75=8</em>
<em>8:1</em>
<em>Best,</em>
<em>SunflowerJada</em>
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We can find the radius from the diameter
r = d/2 = 34/2 = 17
V = (3.14) (17)^2 * 27
V =24501.42 m^3
The surface of a cone is found by
SA = pi r^2 + pi r l where l is the slant height
We can find the radius from the diameter
r = 8/2 = 4
SA =(3.14) * 4^2 + 3.14 * 4*7
=50.24+87.92
138.16 in^2
The lateral surface area of a pyramid is found by taking the area of the sides
LSA = 4 * the area of a triangle
we multiply by 4 since there are 4 sides
= 4 * 1/2 b*h where b is the base of the triangle and h is the height of the triangle. (in this case it would be the slant height)
= 2 * 8 *22
=352 m^2
Answer:
24 Domain: s>=2 or s<=-2
25. 3x^2 +14x +10
26. x^2 -2x+5
Step-by-step explanation:
24. Domain is the input or s values
square roots must be greater than or equal to zero
s^2-4 >=0
Add 4 to each side
s^2 >=4
Take the square root
s>=2 or s<=-2
25. f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = 3u^2 +2u-6
g(x) = x+2
f(g(x) = 3(x+2)^2 +2(x+2) -6
Foil the squared term
= 3(x^2 +4x+4) +2x+4-6
Distribute
= 3x^2 +12x+12 +2x+4-6
Combine like terms
=3x^2 +14x +10
26 f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = u^2+4
g(x) = x-1
f(g(x) = (x-1)^2 +4
Foil the squared term
= (x^2 -2x+1) +4
= x^2 -2x+5
I think the answer is D. The other answers are unreasonable. Wyatt would not get the promotion and just because Tammy's lowest value is bigger than Wyatt's doesn't mean that Tammy gets the promotion. The only reasonable answer is D.
Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.
Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8
Then set up the "point-slope form":
y - y0 = m * (x - x0)
You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.
x0 = 1
y0 = 10
Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)
The above equation will work fine for an answer, but let's go a step further and solve for y.
y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8