Help me quick please

Mathematics

1 answer:

castortr0y [4]2 years ago

6 0

Answer:

Step-by-step explanation:

sorry that's the only one I understand but I know the first one

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

$f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}$

8 0

3 years ago

In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the in

olchik [2.2K]

9514 1404 393

Answer:

$20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

(1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

$20 × 1.00038006801 ≈ $20.01

_____

Additional comment

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.

7 0

2 years ago

How many square feet of outdoor carpet will we need for this hole?

QveST [7]

The whole ends up being 42 ft².

Area of a triangle = 1/2 * base * height.
So that lil triangle piece is 1/2 * 2 * 3 = 1/2 * 6 = 3

Now we do the rectangle piece. Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21

If you take away those two, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is the width of the rectangle which is 3. Base 2 is the 6. The height is the given 11 feet minus the 7 feet from the length of the rectangle which is 4.

Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.

Now add all of your areas together;

21 + 3 + 18 = 24 + 18 = 42

7 0

3 years ago

Read 2 more answers

Find f(x)+g(x), given f(x)=x^2-8 and g(x)=-2-x^2

Gnoma [55]

$\left(x^2-8\right)+\left(-2-x^2\right)=-10$