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3 years ago

23-5+(17-2) x 3 + 5 to the power of 2

1 answer:

7 0

$23-5+(17-2) x^3 + 5^2 \\ \\ 23 - 5 + 15x^3 + 5^2 \\ \\ 23 - 5 + 15x^3 + 25 \\ \\ 15x^3 + 43 \\ \\$

The final result is: 15x^3 + 43.

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6+8x2=5x A. –2 B. –1 C. 1/3 D. $3$

VMariaS [17]

From order of operations, we do multiply/divide first, then add/subtract. So:
(I assume that is 8 times 2, and 5 times x, solving for x)

6+8⋅2 = 5x
6 + 16 = 5x
22 = 5x
x = 22/5 (twenty two fifths)

3 0

4 years ago

the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Soloha48 [4]

Given:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

General term:

The general term of the geometric sequence is given by

$a_n=a(r)^{n-1}$

where a is the first term and r is the common ratio.

The 11th term is given is

$a_{11}=a(4)^{11-1}$

$48=a(4)^{10}$ ------- (1)

The 12th term is given by

$192=a(4)^{11}$ ------- (2)

Value of a:

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

$48=a(1048576)$

Dividing both sides by 1048576, we get;

$\frac{3}{65536}=a$

Thus, the value of a is $\frac{3}{65536}$

Value of the 10th term:

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term $a_n=a(r)^{n-1}$ , we get;

$a_{10}=\frac{3}{65536}(4)^{10-1}$

$a_{10}=\frac{3}{65536}(4)^{9}$

$a_{10}=\frac{3}{65536}(262144)$

$a_{10}=\frac{786432}{65536}$

$a_{10}=12$

Thus, the 10th term of the sequence is 12.

8 0

3 years ago

12 is 1/2 percent of what number

AVprozaik [17]

Answer:

24 ?

Step-by-step explanation:

50% or .5%?

12*2 = 24

7 0

3 years ago

Read 2 more answers

Solve the equation 5x + 7y = 35 for y.

erastovalidia [21]

Answer:

D. y = -5/7x + 5

Step-by-step explanation:

5x + 7y = 35

-5x -5x

7y = 35 - 5x

/7 /7 /7

y = 35/7 - 5/7 x

y = 5 - 5/7x

4 0

4 years ago

Read 2 more answers

Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppos

horrorfan [7]

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

$\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\$

$= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802$

$\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}$

$\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\$

7 0

3 years ago