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statuscvo [17]
3 years ago
11

Find the tenth term in the sequence

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer: The tenth term in the sequence is 512.

Step-by-step explanation:

Since we have given that

a_n=2^{n-1}

We need to find the tenth term:

It means n = 10

So, it becomes

a_{10}=2^{10-1}\\\\a_{10}=2^9\\\\a_{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\\\\a_{10}=512

Hence, the tenth term in the sequence is 512.

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Given the area of a square is 225 ft.² what is the length of each side
Vinvika [58]

Answer:

15ft

Step-by-step explanation:

the square root of 225 is 15, so the answer is 15ft

15×15=225

8 0
3 years ago
What is the difference? <br> 4/3-7/9
Alecsey [184]

Answer:

Step-by-step explanation:

4/3-7/9=12/9-7/9=5/9.

6 0
3 years ago
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A heated piece of metal cools according to the function c(x) = (.5)^x − 11, where x is measured in hours. A device is added that
Goryan [66]

Answer:

The temperature of metal after five years =  -18.96875

Step-by-step explanation:

Given : Function c(x) = (0.5)^x-11

where x is measured in hours

Another function is added h(x)=-x-3

therefore, the resultant function f(x)=h(x)+c(x)

f(x) = (0.5)^x-11-x-3

For x=5

f(5) = (0.5)^5-11-5-3

f(5) = (0.03125)-19

f(5) = -18.96875

Therefore, The temperature of metal after five years = -18.96875

5 0
3 years ago
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Ms. Sublett's math class is putting three
givi [52]
Option 4 is your answer
4 0
2 years ago
Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)
Citrus2011 [14]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u>

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

{x}^{2}  - xy +  {y}^{2}  = 7

introduce dy/dx :

\frac{d}{dx} ( {x}^{2}  - xy +  {y}^{2} ) =  \frac{d}{dx} (7) \\  \\ 2x - (y +  \frac{dy}{dx} ) + 2y \frac{dy}{dx}  = 0

make dy/dx the subject:

2x - y -  \frac{dy}{dx}  + 2y \frac{dy}{dx}  = 0 \\  \\ 2y \frac{dy}{dx}  -  \frac{dy}{dx}  = y - 2x \\  \\  \frac{dy}{dx} (2y - 1) = y - 2x \\  \\  \frac{dy}{dx}  =  \frac{y - 2x}{2y - 1}

At point (-1, 2):

\frac{dy}{dx}  =  \frac{2 - 2( - 1)}{2(2) - 1}  \\  \\ slope =  \frac{4}{3}

but a tangent has the same slope as the curve:

y = mx + c

m is the slope

c is the y-intercept

At (-1, 2):

2 = ( - 1 \times  \frac{4}{3} ) + c \\  \\ c = 2 +  \frac{4}{3}  \\  \\ c =  \frac{10}{3}

equation:

y =  \frac{4}{3} x +  \frac{10}{3}  \\  \\ { \boxed{3y = 4x + 10}}

8 0
3 years ago
Read 2 more answers
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