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1 year ago

Is 1000 a sequence in 50 65 80 95

Mathematics

1 answer:

SCORPION-xisa [38]1 year ago

5 0

Answer: yes

Step-by-step explanation:

it’s the 41st term

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A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

To estimate his travel time, joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.

Elis [28]

Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.

4 0

3 years ago

Evaluate. <img src="https://tex.z-dn.net/?f=5%20%2A%204%5E0" id="TexFormula1" title="5 * 4^0" alt="5 * 4^0" align="absmiddle" cl

ch4aika [34]

4^0 is 1 because any number to the zero power is one so 1*5=5

7 0

2 years ago

Read 2 more answers

Explain how you can find the amount of money Juan save if he earned $12 walking dogs

Lisa [10]

You can find how many he gets for each dog.

For example, let's pretend Juan gets $3 for each dog to walk, then he would've walked 4 dogs. But in this real problem we don't know how much he gets for each dog.

So, you can find the amount of money Juan saved by knowing how much is for each dog walked.

6 0

3 years ago

Please answer it is really easy!! | | | | V

BaLLatris [955]

The answer is 443 m^2

I explained it in the picture.

Hope it helps!

5 0

3 years ago