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3 years ago

Explanation how solve step by step 2/7m-1/7=3/14

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

Answer:

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes

(4)(m - 1/7) = 3

... after multiplying every term by 14.

Let's multiply each side by 7 to eliminate the remaining fraction:

4(7m - 1) = 21, or

28m - 4 = 21, or

28m = 25.

Hence, m = 25/28.

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Determine whether the improper integral converges or diverges, and find the value of each that converges.

Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral: $\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx$

$\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty$

So it is divergent.

7 0

3 years ago

Can u find the area of these please

Schach [20]

Area of a rectangle can be calculated by multiplying the length by the height.
So:

l x w
3 x 13
39 cm squared

Area of a triangle can be calculated by multiply the length by the height and dividing by two. So:

1/2 x l x w
1/2 x 10 x 8
40 m squared

4 0

3 years ago

Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the

Diano4ka-milaya [45]

Answer:

5555555555555555555225313

Step-by-step explanation:

554

6 0

3 years ago

Read 2 more answers

In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Com

OleMash [197]

Answer:

a) 272 used at least one prescription medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 3149, \pi = 0.866$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876$

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0

3 years ago

1) Q: A: Factor x2 + 8x + 16 A) (x + 4)2 B) (x - 4)2 C) (x + 8)(x + 2) D) (x + 2)(x - 8)

luda_lava [24]

Answer:

(x+4)^2 Choice A

Step-by-step explanation:

x^2 + 8x + 16

what 2 numbers multiply together to give you 16 and add together to give you 8

1*16 = 16 1+16 = 17 no

2*8 = 16 2+8 = 10 no

4*4 = 16 4+4 = 8 yes

(x+4) (x+4)

(x+4)^2

8 0

3 years ago