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shtirl [24]
3 years ago
6

What is the equation process to this question?

Mathematics
1 answer:
Andreyy893 years ago
5 0

The given equation is h(t)=-16t^2+80t+4 where h is the height, in feet, of a ball and t is the time, in seconds.

<u>Part a: The height of the ball when t = 2 seconds:</u>

The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation h(t)=-16t^2+80t+4, we get;

h(2)=-16(2)^2+80(2)+4

Simplifying the terms, we get;

h(2)=-64+160+4

h(2)=100

Thus, the height of the ball after 2 seconds is 100 feet.

<u>Part b: The height of the ball when t = 4 seconds:</u>

The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation h(t)=-16t^2+80t+4, we get;

h(4)=-16(4)^2+80(4)+4

Simplifying the terms, we get;

h(4)=-256+320+4

h(4)=68

Thus, the height of the ball after 4 seconds is 68 feet.

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What is 95,438 - 62,804 rounded to the nearest 10 thousand
den301095 [7]
95,438 - 62,804= 30,000 when rounded
3 0
3 years ago
A minigolf ball is on a perfectly horizontal surface, x = 2 m away from the center of the hole. There is a small obstacle in the
nika2105 [10]
<h3>Answer:</h3><h3>Two possible smallest and largest angles are 11.78° and 78.22°.</h3>

Step-by-step explanation:

Minigolf ball will follow a trajectory to get into the hole.

Since range of a trajectory is calculated by the formula,

R=\frac{u^{2}sin2\theta}{g}

Where u = initial speed of the ball

θ = angle between the hole and direction in which the ball has been projected

g = gravitational pull

Now we plug in the values in the formula,

2=\frac{7^{2}sin(2\theta)}{9.8}

sin2θ = \frac{2\times 9.8}{49}

2θ = sin^{-1}(0.4)

2θ = 23.57° or 156.43°

θ = 11.78° or 78.22°

Hence two possible smallest and largest angles are 11.78° and 78.22°.

6 0
3 years ago
Can someone answer this please
choli [55]
The awenser of the problem is A
5 0
3 years ago
Read 2 more answers
Help needed math 3 - 10 points read closely
inessss [21]
<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

f(-3)=-\frac{1}{3}

<h2>Why?</h2>

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

\left \{ {{\frac{1}{x}, if x

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

f(x)=\frac{1}{x}

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

f(x)=x^{2}

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

-3

So, evaluating the function we have:

f(x)=\frac{1}{x}

f(-3)=\frac{1}{-3}

f(-3)=-\frac{1}{3}

Hence, we have that the answer is the fourth option,

f(-3)=-\frac{1}{3}

Have a nice day!

7 0
3 years ago
How to solve X + y = 2<br> X - y = 4
SpyIntel [72]
So y+x=2
x-y=4
one way is subsituteion where yousubisutte one of the number for another exg

x-y=4
add y to both sides
x=y+4
subsitute y+4 for x in x+y=2
 y+4+y=2
2y+4=2
subtract 4 from both sides
2y=-2
divide both sides by 2
y=-1
subsiutte
x+y=2
x-1=2
x=3




or elimination

x+y=2
x-y=4
add the two equations and cancel the y terms

x+x+y-y=2+4
2x=6
divide both sides by 2
x==3
subsitute
x+y=2
3+y=2
y=-1


so x=3
y=-1
5 0
3 years ago
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