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Tamiku [17]
4 years ago
5

Determine 7th term in the geometric sequence whise first term is 5 and whose ratio is 2 .

Mathematics
2 answers:
adoni [48]4 years ago
6 0
\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
n=7\\
a_1=5\\
r=2
\end{cases}\implies a_7=5\cdot 2^{7-1}
Igoryamba4 years ago
3 0
5, 10, 20, 40, 80, 160 and the Seventh term would be 320
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Answer part A, B, and C. (28 points)
mart [117]

A)

Two sides are 8 x 2 = 16 x 2 = 32 sq. in.

Two sides are 11 x 2 = 22 x 2 = 44 sq. in.

Top is 8 x 11 = 88 sq. in.

Total surface area: 32 + 44 + 88 =  164 square inches.

B) Area of a circle = PI x r^2

Area = 63.585

63.585 = PI x r^2

Using 3.14 for PI:

63.585 = 3.14 x r^2

Divide both sides by 3.14:

r^2 = 63.585 / 3.14

r^2 = 20.25

r = √20.25

radius = 4.5 inches.

C)

Diameter = radius x 2

Diameter = 4.5 x 2 = 9 inches.

3 0
3 years ago
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
Round 7.2242 to the nearest hundredth
alukav5142 [94]
7.22 is 7.2242 rounded to the neartest hundreth

8 0
3 years ago
Which relation is a function?
Gemiola [76]

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

Step-by-step explanation:

6 0
3 years ago
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inn [45]
15*(x+20)+26*x = 3115
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