All Answers 356000 Answers

∠AHB = 123°

∠BAH = 26°

∠ABH = 31°

∠ABD = 64°

∠HBD = 33°

∠BHD = 57°

∠HAE = 33°

∠AHE = 57°

∠ACD = 57°

to be continued...  

Please Melody or MAVERIRICK.1948, aswer my question is urgent

*pice

\(s=v_{horizontal}\times t\) Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her bat when the ball was 3 feet above the ground.

(a) No one interferes with the ball. How long does it take the ball to hit the ground? Round your answer to the nearest hundredth of a second. Show all your work.

(b) How far did the ball travel horizontally? Use your answer from Part (a) in your calculations. Round your answer to the nearest tenth of a foot. 

Aurora schlug einen Baseball mit einer Anfangsgeschwindigkeit von 70 Fuß pro Sekunde in einem Winkel von 30 ° zur Horizontalen. Der Ball traf ihren Schläger, als der Ball 3 Fuß über dem Boden war.
(a) Niemand stört den Ball. Wie lange dauert es, bis der Ball auf dem Boden aufschlägt? Runden Sie Ihre Antwort auf die nächste Hundertstelsekunde. Zeigen Sie alle Ihre Arbeiten.
(b) Wie weit bewegte sich der Ball horizontal? Verwenden Sie Ihre Antwort aus Teil (a) in Ihren Berechnungen. Runden Sie Ihre Antwort auf den nächsten Zehntel Fuß.

It makes it easier for me.

Hallo lightsup!

(a)

\(\sum h=0\)

\(3ft+\frac{70ft}{sec}\cdot sin(30^0)\cdot t-\frac{g}{2}t^2=0\)

\(-\frac{32.185\cdot ft}{2\ sec^2}t^2+\frac{70ft}{sec}\cdot sin(30^0)\cdot t+3ft=0\\ -\frac{32.185}{2}t^2+70\cdot 0.5\cdot t+3=0\\ \color{blue}-16.0925\ t^2+35\ t+3=0\)

\(t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(t=\frac{-35\pm\sqrt{35^2+4*16.0925*3}}{-2*16.0925}\\ t=\frac{-35\pm 37.6578}{-32.185}\\ t=\frac{-72.6578}{-32.185}\)

\(t=2.26\ sec\)

(b)

\(s= v_{horizontal}*t\)

\(v_{horizontal}=70 \frac{ft}{sec}*cos(30^0)\)

\(s=70 \frac{ft}{sec}*cos(30^0)*2.257sec\)

\(s=136.9\ ft\)

  !

my brain hurt's me after read this reasonement

If a ball is thrown directly upward with a velocity of 50 ft/s, its height (in feet) after t seconds is given by y = 50t − 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)

In the diagram, $D$ and $E$ are the midpoints of $\overline{AB}$ and $\overline{BC}$ respectively. Find the sum of the $x$ and $y$ coordinates of $f$, the point of intersection between AE and CD.

How many breaths will a person take in one day if he or she takes 12 breaths per minute?

A. About 1,000

B. About 10,000

C. About 17,000

D. About 1,000,000

Hello SmartMathMan!

\(\frac{12\ breaths}{min}\cdot \frac{60\ min}{h}\cdot \frac{24\ h}{day}= \color{blue}\frac{17280\ breaths}{day} \)

  !

Which expression is equivalent to \([\frac{4^{\frac{5}{4}}\cdot \ 4^{\frac{1}{4}} }{4^{\frac{1}{2}}}]^{\frac{1}{2}} \) ?

Hello Guest!

\([\frac{4^{\frac{5}{4}}\cdot \ 4^{\frac{1}{4}} }{4^{\frac{2}{4}}}]^{\frac{1}{2}}=(4^{\frac{5+1-2}{4}})^{\frac{1}{2}}=4^{\frac{1}{2}}=\color{blue}2\)

  !

I tried. . . believe me, I tried. Thanks for the suggestion anyway :D Have a nice day!

That was correct, thanks a bunch! Have a good day :D

The left-hand behavior asks the question: 

  As x goes to negative infinity (off to the far left of the graph), do the y-values increase (go upward to positive infinity)

  or decrease (go downward to negative infinity)?

Similarly, the right-hand behavior asks the question:

  As x goes to positive infinity (off to the far right of the graph), do the y-values increase (go upward to positive infinity)

  or decrease (go downward to negative infinity)?

For the function  f(x)  =  -4(x-1)⁴(x + 3):

  as x gets smaller (more and more negative), the graph goes higher and higher up the y-axis (the y-values go

      to positive infinity)  

  as x gets larger (off to the right), the graph dips lower and lower down the y-axis (the y-values go to negative infinity).

I messed up the other answer because I found the volume, not the area.

There's a problem with the drawing. If this is a regular octagon and each edge is 2 cm, the diameter will be close to,

but not quite equal to, 4.5 cm.

There is a formula for the area of a regular octagon:  Area  = 2 · ( 1 + sqrt(2) ) · (edge)² 

When the edge = 2:      Area  =  2 · ( 1 + sqrt(2) ) · (2)²   =  8 · ( 1 + sqrt(2) )  =  19.314 cm²   (approx)

To find the total area, we need two of the regular octagons (38.638 cm²), plus the 8 sides.

Each side has an area of  2 x 6.5 =  13 cm².

Multiplying this by 8, we get  104 cm²

Final amount:  (38.638 cm²) + (104 cm²)  =  142.6 cm²

1)  The Rational Zero Test says that any possible rational zero is a fraction whose numerator is a divisor of the constant term

      (in this case, a divisor of 16) and the denominator is a divisor of the coefficient of the first term (in this case, 2).

      Also, all the negative must also be considered.

      The divisors of 16 are 16, 8, 4, 2, 1.  

      The divisors of 2 are 2, 1.    

      So, for this problem the possibilities are:  16/1, -16/1, 8/1, -8/1, 4/1, -4/1, 2/1, -2/1, 1/1, -1/1

                                                               and:  16/2, -16/2, 8/2, -8/2, 4/2, -4/2, 2/2, -2/2, 1/2, -1/2

      Of course, some of these are repeats.

      Try these one at a time until you find one that makes the function zero. If it makes the function zero, it will be a root; if

       it doesn't make the function zero, it isn't a root.

       For example:  f(x)  =  2x³ + 2x² - x + 16     --->     f(16)  =  2(16)³ + 2(16)² - (16) + 16  =  8704

       This didn't make the function zero, so it isn't a root.

       So, you get to try the next number.

       Keep trying until you get one that works or until they all fail.

       Once you get one that works, divide the function by that root (for instance, if 5 works, divide by (x - 5)).

       If you can factor the result, do so; that's easier than using the RZT.    

       If you can't factor the result, use the RZT on this new function.

2)  Every factor that has an even exponent bounces; every factor that has an odd exponent passes through.

3)  f(x)  =  -3x² + 12x - 2

     Bring the constant term to the other side:            f(x) + 2  =  -3x² + 12x

     Factor out the coefficient of the squared term:    f(x) + 2  =  -3(x² - 4x)

     Complete the square by dividing the coefficient of the x-term by 2 and squaring that answer:

         -4 / 2  =  -2   --->   (-2)²  =  4

     Add that inside the parentheses -- note that you really are adding a value of -3 x 4  =  -12, so you'll have

     to add that to the other side as well:            f(x) + 2 - 12  =  -3(x² - 4x + 4)

                                                                                 f(x) -10  =  -3(x - 2)²

                                                                                        f(x)  =  -3(x - 2)² + 10

The Guest just mis-typed the final result:  (2/3)³  +  3·(2/3)³·(1/3)  +  6·(2/3)³·(1/3)²  =  64/81

Winning in three games:   BBB

Winning in four games:     BBTB, BTBB, TBBB

Winning in five games:     BBTTB, BTTBB, BTBTB, TBBTB, TBTBB, TTBBB

There are 3 choices for offensive lineman, 9 choices for quarterback, 8 choices for running back, and 7 choices for wide receiver.

3 x 9 x 8 x 7  =                 

Volume  =  (1/3) · (Area of the Base) · height

    90      =  (1/3) · (Area of the Base) · 12

    90      =    4 · (Area of the Base)

  22.5     =   Area of the Base

Actually I answered this one yesterday (for someone else)

Yes; to make some answers clearer perhaps they could be written as -3sqrt(3)/2.

yeah, i agree with guest.

19 choices for gold, 18 choices for silver, and 17 choices for bronze.

19 x 18 x 17  =    the answer

5! =120 ways - with no restrictions.

the answer is 500.

10(2)=20

25x20=500

[9,999,999,999 - 1,000,000,001] / 2 + 1 =4,500,000,000 such numbers