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3 years ago

A water balloon was launched into the top of the hill 38 feet above the ground

Mathematics

1 answer:

bekas [8.4K]3 years ago

7 0

Answer: -71.104 ft/sec

Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.

6=-16t^2+40t+60

0=-16t^2+40t+54

plug in those values into the quadratic formula or your calculator and you get:

t = -.972

t = 3.472

since you can't have negative time, the other answer must be it.

So you then plug it in and solve.

v(3.472) = -32(3.472) + 40

which is approximately -71.104 ft/sec

or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)

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A random sample of 130 students is chosen from a population of 4,500 students. The mean IQ in the sample is 120, with a standard

barxatty [35]

Answer:

$120-2.614\frac{5}{\sqrt{130}}=118.85$

$120+2.614\frac{5}{\sqrt{130}}=121.15$

Step-by-step explanation:

Information given

$\bar X= 120$ represent the sample mean

$\mu$ population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=130-1=129$

The Confidence level is 0.99 or 99%, the significance would be $\alpha=0.01$ and $\alpha/2 =0.005$ , and the critical value would be $t_{\alpha/2}=2.614$

And replacing we got:

$120-2.614\frac{5}{\sqrt{130}}=118.85$

$120+2.614\frac{5}{\sqrt{130}}=121.15$

3 0

3 years ago

Describe the pattern of triangular trade that developed in the 1500s

Volgvan

The first leg of this trade was merchants from Europe bringing refined goods to Africa to trade for slaves. The merchants traded with chiefs and high authority leaders.

8 0

3 years ago

7.4=n-2.6 could you plz solve this or give me some good sites that could solve it for me oh and plz show the steps to thanks

lisov135 [29]

Please try to follow this closely.
Ready ? OK, here goes:

 Add 2.6 to each side of the equation.

6 0

3 years ago

Read 2 more answers

Each square below represents one whole. What percent is represented by the shaded area?

KATRIN_1 [288]

9514 1404 393

Answer:

110%

Step-by-step explanation:

Each stripe is 1/10 of a whole, so represents 100%/10 = 10% of the whole.

There are 11 shaded stripes, representing 11×10% = 110%.

4 0

3 years ago

Can someone please help me with both these questions? You will get 20pts

Volgvan

Answer:

#1) -3 feet

#2) 5hours

Step-by-step explanation:

#1) you need to find the rate of change- feet per minute

To find the rate, divide -12 feet by 4 minutes (the twelve in negative because it decreases, almost like subtraction)

-12/4= -3 feet per minute.

Now, multiply by amount of minutes- -3x1= -3 feet in 1 minute

#2) To find the maount of degrees each hour,

divide 10 degrees by 2 degrees per hour.

10/2=5 hours

Hope this helps :)- please give me brainliest!!

3 0

3 years ago