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sergiy2304 [10]
3 years ago
5

What is the nth term of the arithmetic sequence? 7, 5, 3, 1, …

Mathematics
2 answers:
taurus [48]3 years ago
6 0
An=a1+d(n-1)
an=nth term
a1=first term
d=common difference

7 is first term=a1
the common difference is -2, they increase by -2 each time
an=7-2(n-1)
expand and distribute
an=7-2n+2
an=9-2n

C is answer
vampirchik [111]3 years ago
6 0
Hello,

a(1)=7=9-2*1
a(2)=5=9-2*2
a(3)=3=9-2*3
..
a(n)=?=9-2*n

Answer C







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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
2 years ago
What is the exact value of sin -840
dsp73
First subtract  2 revolutions from the - 840 :-    (- (840-720)  = -120

This gives  sin -120  which is in the 3rd quadrant of the unit circle

sin -120  =  - sin 60  = - sqrt3/2
7 0
3 years ago
You're having dinner at a restaurant that serves 555 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in
NARA [144]

Answer:

19/20

Step-by-step explanation:

I got help on khan acadamy!!!!!

7 0
3 years ago
Express 153,000 in scientific notation
andre [41]
One hundred fifty three thousand
3 0
3 years ago
Read 2 more answers
A: Which expression shows how many ways 7 people can be arranged on individual Ferris wheel seats?
Assoli18 [71]
A: 7! and
<span>B: 5040

you only have 7 slots with 7 * 6 * 5 * 4 * 3 * 2 * 1</span>
8 0
3 years ago
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