Answers from anyone please?

anyanavicka [17]

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0

3 years ago

The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .

katrin2010 [14]

$\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\$

4 0

3 years ago

Simplifly the expression 2(x - 5)

defon

Answer:

2x - 10

Step-by-step explanation:

2(x - 5)

distribute

2*x - 2*5

2x - 2*5

2x - 10

7 0

3 years ago

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

$\frac{12\text{ in}}{\$0.48}$

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

$\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}$

Then, cross-multiply and solve for $x$ :

$\$0.48x=(\$0.28)(12)$

$\$0.48x=\$3.36$

$x=\frac{\$3.36}{\$0.48}$

$x=7$

3 0

1 year ago

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o

hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

Let X = weight of items produced by a machine

The z-score probability distribution for is given by;

Z = $\frac{ X -\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean weight = 8 ounces

$\sigma$ = standard deviation = 2 ounces

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X $\leq$ 6.4 ounces)

P(X < 8.9) = P( $\frac{ X -\mu}{\sigma}$ < $\frac{ 8.9-8}{2}$ ) = P(Z < 0.45) = 0.67364 {using z table}

P(X $\leq$ 70) = P( $\frac{ X -\mu}{\sigma}$ $\leq$ $\frac{ 6.4-8}{2}$ ) = P(Z $\leq$ -0.80) = 1 - P(Z < 0.80)

= 1 - 0.78814 = 0.21186

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of 0.67364 and 0.78814 respectively.

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.

8 0

4 years ago