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kiruha [24]
3 years ago
5

6) Evaluate for x = 3: 3•4x/2

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

18

Step-by-step explanation:

3×4(x)/2

Plug in 3 to x

3×4(3)/2

3×12/2

36/2

18

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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
4 years ago
The cost to rent a lawn tractor is $20 an hour plus the cost of gas.Shelly paid a total of $60 for gas in a lawn tractor she ren
pav-90 [236]

Answer:

Graph C

Step-by-step explanation:

It is graph C because it starts at $60 (the gas) and goes up $20 every hour (the hourly payment)

5 0
3 years ago
A plastic storage bin is shaped like a rectangle or prism. The height of the band is 9 inches. The bottom of the band has an are
Marina86 [1]

Answer:

v = 1620 ^3

Step-by-step explanation:

If the area of the bottom is 180 sq in and the height is 9 in then this is how you would solve the problem.

To get area of the volume is l * w * h

Because of the associative property we can do this in any order we want

If we know that l * w is 180, then all we have to do is multiply 180 by 9

180 * 9 = 1620

7 0
3 years ago
1. Which of the following numbers is an example of an integer?
Leokris [45]
1. All whole numbers (0, 1, 2,...) and their negative equivalent ( -1, -2, -3, ...) are considered integers. Hence, from the choices provided, the answer would be A. 2. Real numbers consist of rational and irrational numbers. So the statement "Every real number is a rational number" is not correct. Thus, the answer is D. 3. 5.85, 63.4, and 27.5 are terminating decimals. This means that they have a fixed decimal conversion and does continue endlessly. Meanwhile, for 8.52624 . . ., its digit goes on forever. So, odd one out would be C. 4. Irrational numbers are those that cannot be expressed as the ratio of two numbers. Examples for this would be the value of the constant e, √2, etc. Rational numbers, on the other hand, are numbers that can be expressed as ratio of two numbers. As can be seen irrational and rational numbers are opposite of ech other, by definition. Hence, irrational numbers cannot be classified as rational numbers. That will give an answer of E. 5. From the previous items, we can see that both rational and irrational numbers are part of the real number system. This means that every irrational number is a real number. Hence, the answer is C. <span>Answers: A, D, C, E, C </span>
8 0
3 years ago
It was recently estimated that domestic vehicles outnumber foreign vehicles by about three to two. If there are 1925 vehicles in
Amiraneli [1.4K]
If domestic vehicles outnumber foreign vehicles by about three to two and vehicles in a country are 1925 then Domestic vehicles would be {(1925)x(3/5)} = 1155
4 0
3 years ago
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