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Tju [1.3M]
3 years ago
7

Twice the sum of 3 times a number and 60 is 155 grater than the opposite of the number. Find tye number

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

x=5


2 (3x + 60) = 155 − x

that can be rewritten as

6x + x = 155 - 120

or

7x = 35

The solution is

x = 5

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In the geometric progression 1, 2, 4… what term is 512?
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The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

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If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
- 7.5 divided by - 2.5
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4 years ago
The measure of the exterior angle of the triangle is what degree?
RSB [31]

Answer:

92°

Step-by-step explanation:

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4 0
3 years ago
Curtis threw 15 darts at a dartboard. 40% of his darts hit the bull's-eye. How many darts did not hit the bull's-eye?
uranmaximum [27]
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3 0
3 years ago
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andriy [413]

The height of the kite above the ground is 90.63 feet.

<u>Step-by-step explanation:</u>

The angle of elevation of the kite is (θ) 65°.

The distance between the kite and its end is (hypotenuse)100 feet.

To find the height (x) of the kite flying above the ground.

we know that sin(θ) =\frac{height}{hypotenuse}.

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∴The height of the kite above the ground is 90.63 feet.

8 0
3 years ago
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