FIRST SOLUTION!
first number = x
second number = x+2
third number = x+4
fourth number=x+6
fifth number=x+8
sixth number=x+10
seventh number=x+12
add all of those up and combine like terms to get 7x+42=357. Now subtract 42 from both sides to get 7x=315. Next, divide both sides by 7 to get x=45. To get the numbers, plug in 45 for x.
Your numbers should be 45,47,49,51,53,55, and 57.
Answer:

Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:

Now, we can write the force in terms of density.

V is the volume (V=2*1*1=2 m³)
So the work will be:

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.


I hope it helps you!
Answer:
x² + y² = 4²
Step-by-step explanation:
The standard equation of a circle centered at the origin and with radius r is
x² + y² = r²
Note that the point (4, 0) is 4 units horizontally and to the right of the center (0, 0). Thus, we know immediately that the radius is 4.
Thus the equation of this circle is x² + y² = 4²
ANSWER: B)198
Have a great day!
The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula

, where
r is equal to the radius of the circle.
In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.



The area of the standard dartboard is 254.47 square inches or 254 square inches.