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Anna71 [15]
3 years ago
6

A rock is projected directly upward from ground level with an initial velocity of 90 feet per second. Give the function that des

cribes the height of the rock in terms of time t.
Mathematics
2 answers:
JulijaS [17]3 years ago
6 0

Answer:

Step-by-step explanation:

From the fourth law of motion

h = ut + 0.5gt^2

h =90t +0.5(10)t^2

Converting 90 frets/s into m/s

h =27.43t +5t^2

timurjin [86]3 years ago
5 0

Answer:

Step-by-step explanation:

The initial velocity, u of the obect when it was projected vertically is 90 feet per second

The acceleration of the object is 32.17405 ft/s2 which is approximately 32.2ft/s2. This is same as acceleration due to gravity.

Since the object is moving upwards, it is moving in opposite direction to the gravitational force. Therefore,

acceleration of the object, g is negative.

g = - 32.2ft/s2

u = 90 feet per second

H = the height of the object in feets

t = time in seconds

Applying newtons law of motion

H = ut + gt^2/2

H = 90t + (-32.2×t^2)/2

H = 90t - 16.1t^2

H = - 16.1t^2 + 90t^2

The function is

f(t) = - 16.1t^2 + 90t^2

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Solve 2x^2+x-4=0<br> X^2+_×+_=0
natima [27]

Answer:

Hopes it helps

Step-by-step explanation:

The Quadratic Polynomial is

2 x² +x -4=0

Using the Determinant method to find the roots of this equation

For, the Quadratic equation , ax²+ b x+c=0

(b) x²+x=0

x × (x+1)=0

x=0  ∧ x+1=0

x=0     ∧   x= -1

You can look the problem in other way

the two Quadratic polynomials are

2 x²+x-4=0, ∧ x²+x=0

x²= -x

So, 2 x²+x-4=0,

→ -2 x+x-4=0

→ -x -4=0

→x= -4

∨

x² +x² +x-4=0

x²+0-4=0→→x²+x=0

→x²=4

x=√4

x=2 ∧ x=-2

As, you will put these values into the equation, you will find that these values does not satisfy both the equations.

So, there is no solution.

You can solve these two equation graphically also.

3 0
3 years ago
I am really confused about this question for math.. any help would be really appreciated:
Elina [12.6K]

y= (\frac 1 4 )^x

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

y'= -y = - (\frac 1 4)^{x'}

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

So

x'=x''/2, y'=y''/2

y''/2= - (\frac 1 4)^{x''/2}

y'' =  - 2((\frac 1 4)^{1/2})^{x''}

y''= - 2(\frac 1 2)^{x''}

We can rewrite that without the primes and combine the powers of 2.

y =  - 2^{1-x}

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

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3 years ago
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Varvara68 [4.7K]

Answer:

she did not get at least 2100 and definitely not 85% of the worth

Step-by-step explanation:

3000*0.85=2550

3000*0.7=2100

8 0
3 years ago
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Digiron [165]
The last two choices are both equal to 0.036%.
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3 years ago
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What is the N in the question: 4.5 = N - 2.51
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