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castortr0y [4]
3 years ago
7

The square root of a number x is always less than x

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
Yes this is a correct statement.
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An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can
serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0
3 years ago
how many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning.
dolphi86 [110]
The question is, "how many ways ...". 

There are as many ways to solve a math problem as you can think of. (Some are shorter or easier than others.)

Essentially, an infinite number.
7 0
3 years ago
Joses went on a cruise to the Bahamas. His total cost for the trip is $810.
slega [8]

Answer:

4

Step-by-step explanation:

yep 4 days cuz logicaly

3 0
2 years ago
What is the slope simplify your answer and write it as a proper fraction, improper fraction, or integer
worty [1.4K]

Take  2 points: (0, 70) (30, 80)

SLOPE FORMULA: y2 -y1 / x2 - x1

y2 - y1: 80 - 70 = 10

x2 - x1: 30-0 = 30

10 / 30

simplify: 1/3

This is a PROPER FRACTION

5 0
3 years ago
DJ has 16 movies, and Three-eighths of them are comedies. How many movies are comedies?
IrinaVladis [17]

Answer:

16 * 3/8 = 6

6 movies are comedies

7 0
3 years ago
Read 2 more answers
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