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3 years ago

At the music store Katelyn bought 2 packs of

Mathematics

1 answer:

kirza4 [7]3 years ago

5 0

For one pack of guitar strings, it cost $14.00

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.

olchik [2.2K]

Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>

In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:

p = 6/50 = 0.12 = 12%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0

2 years ago

In the xy-plane, what is the y-intercept of the graph of the equation y = square root of 4-x

Tpy6a [65]

The answer is C your welcome Gn

8 0

3 years ago

HELP WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER NO EXPLANATION!!! NO GUESSes!!!

Oksi-84 [34.3K]

Answer:

all of them except for compass

Step-by-step explanation:

eeeeerrrr eeeerrr eeeerrrrr

7 0

3 years ago

John earns $6000. He spends $1000 on rent, $1500 on grocery, $500 on travel and saves the rest. What size angle should be drawn

Arada [10]

Answer:

$3000

Step-by-step explanation:

6000-1000-1500-500= $3000

7 0

3 years ago