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kolezko [41]
4 years ago
12

Help! i need to answer this before 11:59pm EST, Today !!, i would appreciate your help.

Mathematics
1 answer:
Arada [10]4 years ago
3 0

Answer:

0.18 sec or 3.4 sec.

For second part, it will take 3.7 sec.

First part:

Set h(t) = 17and solve for t.

-16t²+ 58t + 7= 17

-16t² + 58t - 10 = 0

Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.

Second part:

Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.

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1.) A projectile launched straight up into the air with an initial velocity of 20 meters per second from a height of 10 meters.
Dafna1 [17]
Hello,

I have just answered the question


gravity on earth :g=9.81 m/s²

h(t)=-\frac{g*t^2}{2}+v_{0}*t+h_{0}
9.81/2≈4.9
v_{0}\ is\ initial\ speed
h_{0}\ is\ initial\ height

Answer 1


2)
h(t)=-4.9*t²+20*t+10

To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²

t=(-20-4√35)/(-4.9*2)=4,4555...(s)

t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)









4 0
3 years ago
Solve the equation for x:<br> | 4x - 3] = 7
Soloha48 [4]

Answer:

x=-1, 5/2.

Step-by-step explanation:

abs(4x-3)=7

4x-3=7, 4x-3=-7

4x=7+3=10

x=10/4=5/2

----------------

4x=-7+3

4x=-4

x=-4/4=-1

5 0
3 years ago
Read 2 more answers
Sari is factoring the polynomial 2x2 + 5x + 3. What is the missing number in her factorization?
sergejj [24]

Answer:

<em>The missing number in Sari's factorization is </em><em>3</em><em>.</em>

Step-by-step explanation:

The given polynomial is,

=2x^2 + 5x + 3

From quadratic equations, applying middle term factorization,

=2x^2 + 2x+3x + 3

=2x(x + 1)+3(x + 1)

=(2x+3)(x + 1)

Comparing this to the given expression, the missing number in Sari's factorization is 3.

4 0
3 years ago
Read 2 more answers
Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=
Nezavi [6.7K]

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

6 0
3 years ago
Someone was shopping at a store that advertised 50% off everything. She found a new CD player originally priced at $76. What was
maria [59]

Answer:

38

Step-by-step explanation:

3 0
3 years ago
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