Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
The larger of the two roots of the equation
would be 28.59.
<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is

Then its roots are given as:

The given quadratic equation is

now, the roots of the equation are

The two roots are 0.27 and 28.59.
Thus, the larger of the two roots of the equation
would be 28.59.
Learn more about finding the solutions of a quadratic equation here:
brainly.com/question/3358603
#SPJ1
Answer:
Each friend got 6 cars each
Step-by-step explanation:
17-5= 12 cars
He gave 12 cars away.
Since there are 2 friends, you divide the cars given away by 2, hence
12/2= 6
<h3><u>The value of the smaller number is 31.</u></h3><h3><u>The value of the larger number is 43.</u></h3>
y = 12 + x
y + x = 74
Since we have a value for y, we can plug it into the second equation
12 + x + x = 74
Subtract 12 from both sides.
x + x = 62
Combine like terms.
2x = 62
Divide both sides by 2.
x = 31
Now that we have a value of x, we can plug it into the original equation to get a value for y.
y = 12 + 31
y = 43
An arithmetic sequence (a_n) is as follows:

where

is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is

in our particular case d=5, the third term is 8, so we have:

and the general term is

,
Answer: first term is -2, n'th term is -2+5(n-1)