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rjkz [21]
3 years ago
8

A basketball is thrown with an initial upward velocity of 25 feet per second from a height of 8 feet above the ground. The equat

ion h=−16 t 2 +25t+8 h=−16t2+25t+8  models the height in feet t seconds after it is thrown. After the ball passes its maximum height, it comes down and then goes into the hoop at a height of 10 feet above the ground. About how long after it was thrown does it go into the hoop?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0
-16t^2 + 25t + 8 = 10

-16t^2 + 25t - 2 = 0

t = 1.48 seconds
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Sally has 117 shares of stock valued at 2,614.95. Over the next three days, the value per share increases by $1.01,$0.11 and $0.
NARA [144]

Answer:

The total value of her stock after three days = $ 2796.3

Step-by-step explanation:

Total number of shares = 117

Total value of shares = $ 2614.95

Value of increase of one share in one day = $ 1.01

Total value increase of 117 shares in one day  = 117 × 1.01 = $ 118.17

Total value increase of 117 shares on second day = 117 × 0.11 =  $ 12.87

Total value increase of 117 shares on third day = 117 × 0.43 = $ 50.31

Total value of stock after three days = $ 2614.95 + $ 118.17 + $ 12.87 +  $ 50.31

⇒ $ 2796.3

This is the total value of her stock after three days.

3 0
3 years ago
The diameter of a circle has length 12. The center is at (-5,2) . Give the equation of the circle?
serg [7]

9514 1404 393

Answer:

  (x +5)² +(y -2)² = 36

Step-by-step explanation:

The radius is half the diameter, so is 12/2 = 6.

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

For the given parameters, the equation is ...

  (x +5)² +(y -2)² = 36

6 0
2 years ago
Give your answer to four decimal places
Maslowich

Answer:

The characteristic of a logarithm is the number to the left of the decimal.

(The characteristic is like an exponent).

We are working with base 3 logs.  

So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3)  then we increase the characteristic by two.

Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.

1.8928 +2 = 3.8928

Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.

Step-by-step explanation:

4 0
3 years ago
a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
     x + y = 78

step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
     1.5 x + 97.5 - 1.25x=105.50
     .25x = 8
     x = 32


step 5)  plug in our value for x in the second equation and solve for y
     x+y=78
     32+y=78
     y=46

answer       32 hamburgers and 46 hot dogs
3 0
3 years ago
What is the greatest whole number that rounds to 67,400?What is the least whole number?
RSB [31]
The greatest whole number that rounds to 7,400 would be 7,399. This is because there is no number that is larger than 7,399 that would round up to 7,400, since 7,400 is the next number.

The least whole number that rounds to 7,400 would be 7,401. This is because there is no number that is less than 7,401 that would round up to 7,400, since 7,400 is the next number.
3 0
3 years ago
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