Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>
Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as

Inserting our data we have

Answer: $32,625
Step-by-step explanation:
40,000-10,000 = 35,000 ---> how much is taxed
35,000 x .25 = 8,750 = income tax
45,000 - 8,750 = 36,250
36,250 x .1 = 3,625 ---> social security
45,000 (gross pay) - 8,750 (income tax) - 3,625 = 32, 625
Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:

c) sin (Θ) = b/25
differentiate it again to give

Answer:
Beth is incorrect.
It is a translate to the right 5 units and up 1 unit.
When we solve x-5=0 we get x=5, not x=-5 which says we go right 5 units.
When we plug in 5 into the expression for g, we get 1 which means go up 1 as well.
Step-by-step explanation:
So
is actually a translated 5 units and up 1 unit. Why?
Let's take there point (0,0) and figure out what the new point is on the translated graph.
We need to figure out when the inside of our square root for g is 0. This is where the graph of g will start at and continue on.
x-5=0 when x=5 ( I added 5 on both sides).
So let's plug in 5 to see what the new point is.




So the new graph, g, starts at the point (5,1).