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Kipish [7]
3 years ago
6

Can someone help me with number 8 plz

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0
We have the following equation:
 h (t) = - 16t ^ 2 + 161t + 128
 We substitute the value of h (t) = 170:
 170 = -16t ^ 2 + 161t + 128
 We rewrite the equation:
 -16t ^ 2 + 161t + 128 - 170 = 0
 -16t ^ 2 + 161t - 42 = 0
 We look for the roots of the equation:
 t1 = (161/32) + root (23233) / 32
 t2 = (161/32) - root (23233) / 32
 Answer:
 
The object is 170 feet off the ground at the following times:
 
t1 = (161/32) + root (23233) / 32
 
t2 = (161/32) - root (23233) / 32
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Please help me with these problems​
Zarrin [17]

Answer:

The answer to your question is:

a) Letter B

b) Letter D

Step-by-step explanation:

a)   | x | + 3 < 10

Formula

               | x | < a      ⇒        - a < x < a

             

               | x | + 3 < 10

                | x |  < 10 - 3

               |x | < 7          solution             - 7 < x < 7

                                    or              -7 < x and  x < 7    Letter B

b) it must be letter D x < 4 and x < 1

6 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?
alexandr1967 [171]

Answer:

The slope of the line is -\frac{2}{3}

Step-by-step explanation:

For any line y=mx+b, a line that is perpendicular to it is y_\perp =-\frac{1}{m} x+b.

Therefore the slope of the perpendicular line is -\frac{1}{m}.

For our case y=\frac{3}{2}x-\frac{1}{2} therefore the slope of the prependicular is the reciprocal of \frac{3}{2} multiplied by -1.

\therefore\:slope=-\frac{2}{3}.

4 0
3 years ago
Ava has two frogs. This is 1/3 the number of frogs that Heather has. How many frogs does Heather have?
lesya692 [45]

Answer:

2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
3 years ago
A birthday celebration meal is $ 47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of
Afina-wow [57]

Answer:

$54.51

Step-by-step explanation:

an easier way to do this is simply by multiplying 47.40x115%, which is 54.51.

another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51

6 0
3 years ago
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