Write an inequality to represent the graph.

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 37 fts. The ball's height h (in feet) after

tatyana61 [14]

Answer:

t=(37+root89)/32,(37-root89)/32

Step-by-step explanation:

Solve the equation:

23=3+37t-16t^2

5 0

3 years ago

(6m^3 -16m^2 + 15m - 40) / (2m^2 + 5)

Helen [10]

6m3 - 16m2 + 15m - 40 Simplify ————————————————————— 2m2 + 5 Checking for a perfect cube :

4.1 6m3 - 16m2 + 15m - 40 is not a perfect cube

Trying to factor by pulling out :

4.2 Factoring: 6m3 - 16m2 + 15m - 40

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 15m - 40
Group 2: -16m2 + 6m3

Pull out from each group separately :

Group 1: (3m - 8) • (5)
Group 2: (3m - 8) • (2m2)
 -------------------
Add up the two groups :
 (3m - 8) • (2m2 + 5)
Which is the desired factorization

3m-8 is the answer

4 0

3 years ago

Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confide

ioda

Answer:

The question is incomplete, but the step-by-step procedures are given to solve the question.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{\sigma}{\sqrt{n}}$

The lower end of the interval is the sample mean subtracted by M.

The upper end of the interval is the sample mean added to M.

The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).

7 0

3 years ago

What is the measurement of ∠G? Show your work.

san4es73 [151]

Answer:

x = 40

Step-by-step explanation:

The angles add to 180 degrees

30+110 +x = 180

Combine like terms

140 +x = 180

Subtract 140 from each side

140+x-140 =180-140

x = 40

3 0

3 years ago

Read 2 more answers

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$