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DochEvi [55]
3 years ago
6

Steve kicks a football into the air. The path that a ball takes can be described by the equation h=20t - 5t squared where h is t

he height of the ball in meters and t is time in seconds.
After how many seconds will the ball be 25 meters high?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.

Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0

\frac{4 +- \sqrt{16 - 20}}{2}

Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.

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Which of the following is a logarithmic function? A. Y=0.25X B. Y=x^0.25 c.y=log25^x d.y=(0.25)^x
LenKa [72]
I think the answer is C, y= log 25^x. Logarithmic functions are inverses of exponential functions. the inverse of exponential function y =a ^x is x = a^y. The logarithmic function y = logaX, is defined to be equivalent to the exponential equation x= a^y.
3 0
3 years ago
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Find the coordinates of the missing endpoint if M is the midpoint of DF <br> F(2,9) M(-1,6)
Hunter-Best [27]

Answer:

(-4,3)

Step-by-step explanation:

6 0
3 years ago
A collection of five coins has a value of $1 and consists of dimes and
DENIUS [597]

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

4 0
3 years ago
What graph matches the related tables ? And please explain why !!!
alina1380 [7]

Graph 1 is related to table C because the first 3 values are increasing, and the 4th value decreases. Or because at 1PM, 3PM, and 5PM, the temperature was increasing, but at 7PM the temperature decreased. Graph 1 shows the first 3 points increasing, and then decreasing at the 4th point.


Graph 2 is related to table A because as the time increases/goes on, the temperature decreases exponentially/continues to decrease at a higher rate than before. From 1-3PM the temperate decreases by 2°F, from 3-5PM it decreased by 8°F, from 5-7PM the temperature decreased by 17°F.


Graph 3 is related to table B because as the time increases/goes on, the temperature decreases at a steady rate of 1°F every 2 hours.

7 0
3 years ago
Read 2 more answers
Precalculus
kodGreya [7K]

Answer:

$24.35

Step-by-step explanation:

We will use the compound interest formula provided to solve this problem:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 1% into a decimal:

1% -> \frac{1}{100} -> 0.01

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=800(1+\frac{0.01}{12})^{12(3)}

A=824.35

Lastly, subtract <em>A </em>from the principal to get the interest earned:

824.35 - 800 = 24.35

8 0
3 years ago
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