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strojnjashka [21]
2 years ago
15

A bad punter on a football team kicks a football approximately straight upward with an initial velocity of 89 ft/sec.

Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

Vertical velocity will be affected by gravity in this scenario

df = do + vo t + 1/2 a t^2         do = original height = 4 ft      a = -32.2 ft/s^2

<u>df = 4 + 89 t  - 1/2 (32.2) t^2        df = height</u>

<u />

On the way up and the way down, the ball may reach height of 102.2125 ft :

102.2125 = 4 + 89 t - 1/2 (32.2) t2   re-arrange to:

-16.1 t^2 + 89t - 98.2125 =0  

      Use Quadratic Formula to find <u>t =   1.5 and 4.0 s </u>

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WILL AWARD BRAINLIEST
MAVERICK [17]

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

6 0
3 years ago
Carlos has at most $40 to spend on food for a barbeque. He wants to buy hot dogs and hamburgers and then
poizon [28]

Answer:

$8.50

Step-by-step explanation:

I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:

($31.50) + r \leq $40

This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r,  must be equal to or less than the $40 he has allowed himself to spend.

($31.50) + r \leq $40

r  \leq $40 - $31.50

r \leq $8.50

3 0
2 years ago
A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0
2 years ago
Which graph represents the function f(x) = 2 x – 1 + 2?
tatuchka [14]

Answer:

The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.

Step-by-step explanation:

y=mx+b

f(x)=y

m = slope

b = y intercept

First you need to make it look like y=mx+b

y = 2x - 1 + 2

y = 2x + 1

Now we can say,

m = 2

b = 1

or,

Slope = \frac{2}{1}

y intercept = 1

Slope (m) = \frac{rise}{run}

So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.

5 0
3 years ago
Solve 2-18x-6=-7x+3+10x
Temka [501]

Answer:

x= -1/3

Step-by-step explanation:

First, we can combine like terms on each side:

-4-18x=3x+3

Then, we move all of the variables onto one side and the constant onto the other:

-18x-3x=3+4

-21x=7

x=-7/21

x= -1/3

Hope this helps!

7 0
3 years ago
Read 2 more answers
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