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2 years ago

What is the value of a3 in the sequence? 2, 5, 10, 17,. 2 5 10 17.

Mathematics

1 answer:

Bess [88]2 years ago

3 0

The answer to your mathematical question is 5

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

$x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53$

$x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59$

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0

2 years ago

The number part when a number and a variable are multiplied together in a term is called the _____.

77julia77 [94]

Answer:

Coefficient

Step-by-step explanation:

-Usually a combination of variables and constants are multiplied to get a product.

-The constant or number part in the multiplication process is called the Coefficient

7 0

2 years ago

How to do a diagram in math for kelly correctly answered 80% of the 20 questions on the test

Dvinal [7]

Step-by-step explanation:

80:100=x:20

x=80×20/100=16

3 0

2 years ago

Can someone pls help me

harina [27]

Answer:

16:8 2:1

Step-by-step explanation:

it's both 8 and 4 times 2 on each side, and then divided on each side

3 0

2 years ago

I really need help right now

avanturin [10]

Answer:

true

Step-by-step explanation:

bc my brain is right ( BTW i got my dad to check :>)

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2 years ago