All categories

3 years ago

2|4x-1|=38 I need to solve this

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.

You might be interested in

(-11, 76) and (2, 85). what is the slope of line s?

Andru [333]

(y-y0)/(x-x0)=slope
so (85-76)/(2-(-11))=9/13

4 0

3 years ago

The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h

sveticcg [70]

It will hit the ground after 3.499 seconds.

To solve this you first have to find the value of h(0) in this equation. That is the height from which it was dropped.

You can input any of the points into the equation and solve for the missing part. You will get 60 for the height.

The use the quadratic formula to see that it reaches the ground after 3.499 seconds.

7 0

3 years ago

Read 2 more answers

Find the 50th term of the sequence 5, -2, -9, -16, ...

Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term added by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 less than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

$x_n=a+d(n-1)$

Where a is the initial term, d is the common difference, and n is the nth term.

We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:

$x_n=5-7(n-1)$

Now, to find the 50th term, all we have to do is to substitute 50 for n. So:

$x_{50}=5-7(50-1)$

Subtract within the parentheses:

$x_{50}=5-7(49)$

Multiply:

$x_{50}=5-343$

Subtract:

$x_{50}=-338$

So, the 50th term is -338.

And we're done!

8 0

3 years ago

When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

$MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

3 years ago

If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?

kkurt [141]

Answer:

1728/ 125

Step-by-step explanation:

The ratio of corresponding lengths of the figures = ratio of the square root of their areas.

So ratio of lengths = 12/5.

Now volume is 3 dimensional so the ratio is the cube of the lengths

= 12^3/5^3

= 1728/ 125.

7 0

3 years ago