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Rom4ik [11]
3 years ago
8

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

function h(t) = -16t^2+25t+3 after how many seconds will the balloons hit the ground?
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}
x=\frac{-25+/-\frac{625+192}}{-32}
x=\frac{-25+/-\frac{817}}{-32}
it has to be a positive time

so it will hit the ground after \frac{25+\sqrt{817}}{32} seconds
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Which expression or value is equivalent to (−3+5i)(−3−5i)?
zalisa [80]

Answer:

9-25i is equivalent to (−3+5i)(−3−5i)

8 0
3 years ago
Please help, i’m about to cry. HELP
-Dominant- [34]

Answer:59 degrres and 118 degress

Step-by-step explanation:

3 0
2 years ago
Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take sample
nydimaria [60]

Answer:

The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.

Step-by-step explanation:

According to the provider, this same width of that same confidence interval would be as follows:

= 50.38 - 50.02

= 0.36

Depending on the input observed, the width including its confidence interval would be as follows:

= 50.39 - 50.01

= 0.38

As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.

3 0
3 years ago
Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
3 years ago
Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why
AlexFokin [52]
               The correct answer for this question is this one: "The square root of terms separated by addition and subtraction cannot be calculated individually."

<span>The statement that best explains why the expression cannot be rewritten as during the next step is that t</span>he square root of terms separated by addition and subtraction cannot be calculated individually.
Hope this helps answer your question and have a nice day ahead.    ..... hope that helps

5 0
3 years ago
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