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3 years ago

Sasha is selling t-shirts. She uses the function f(x) = 2x + 8 to determine her sales, where

Mathematics

1 answer:

ololo11 [35]3 years ago

7 0

Answer:

f(x)=56

Step-by-step explanation:

2(24)+8=56

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A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

An= 14n-31

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

Therfore, the 14th term is 165.

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

solution

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

The first term is given by G1=600

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

Therefore, the 3rd term is given by G3= 384.

I have made some Corrections i messed up somewhere.

7 0

3 years ago

Find the volume of the cylinder. round to the nearest tenth.

vaieri [72.5K]

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

5 0

2 years ago

Read 2 more answers

Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2

kvasek [131]

Answer:

53°

Step-by-step explanation:

17² = 18² + 20² - 2(18)(20) cos Q

289 = 324 + 400 - 720 cos Q

289 = 724 - 720 cos Q

-435 = -720 cos Q

0.6042 = cos Q

$cos^{-1} (0.6042) = Q$

Q = 52.83

3 0

3 years ago

13. Factor 12 + 8. * O 3(2+4) 4(3+2) 2(4+3) 4+3(2)

e-lub [12.9K]

2752 is this because this is hard ending as

4 0

2 years ago

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo

gtnhenbr [62]

Camel back Mountain = 15,168 inches (1,264 feet)

1 Penny = 0.061 (.0610) Inches

10 Penny = 0.61 (.610) Inches

100 Penny = 6.1 (6.10) Inches

1,000 Penny = 61 (61.0) Inches

10,000 Penny = 610 (610.0) Inches

-SOLVING-

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

-FINAL ANSWER-

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

3 0

1 year ago