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Rama09 [41]
2 years ago
7

What is the exponential function represented by the table below?

Mathematics
1 answer:
Anastasy [175]2 years ago
5 0

Answer:

  f(x) = 14(3/2)^x

Step-by-step explanation:

The function can be written ...

  f(x) = a(b^x)

where a = f(0), and b = f(1)/f(0). The table tells us ...

  a = f(0) = 14

  b = f(1)/f(0) = 21/14 = 3/2

The exponential function can be written ...

  f(x) = 14(3/2)^x

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Identify the hypothesis of the statement If x + 4 = 5, then x = 1.
Cerrena [4.2K]

Answer:

c

hypothesis is an educated guess. it follows the word if in If, then statements.

following the word then is your conclusion

6 0
3 years ago
Find the volume of the cone whose base is shown and whose altitude is 8 meters.
Aloiza [94]
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\stackrel{base~area}{\pi r^2}\cdot \cfrac{1}{3}\stackrel{height}{h}\\\\
-------------------------------\\\\
\textit{base of this cone}\\\\
B=\stackrel{a~square}{5\cdot 5}+\stackrel{semi-circle}{\frac{\pi r^2}{2}}\implies B=25+\frac{\pi 3^2}{2}\\\\\\ B=\stackrel{square}{25}+\stackrel{semi-circle}{\frac{9\pi }{2}}
\\\\\\
\textit{height of this cone is just 8}\\\\
-------------------------------\\\\

\bf \textit{volume of this cone}\\\\
V=B\cdot \cfrac{1}{3}h\implies V=\left( 25+\cfrac{9\pi }{2} \right)\left( \cfrac{8}{3} \right)
\\\\\\
V=\cfrac{200}{3}+\cfrac{3\pi\cdot 4 }{1}\implies V=\cfrac{200}{3}+12\pi
7 0
4 years ago
what does the improper fraction 4 10/8 break down to be in simplest form? this is 5th grade math..in relation to the topic "Mode
dolphi86 [110]
4 10/8 breaks down to 5 2/8 = 5 1/4

3 1/2 + 1 3/4 
3 1/2 = 3 2/4

3 2/4 + 1 3/4 = 4 5/4

the correct answer is 5 1/4

so yes, your answer IS correct!
6 0
4 years ago
Read 2 more answers
Find the circumference of the circle. round your answer to the nearest centimeter.
Julli [10]
What is the radius of the circle? 
7 0
3 years ago
Does the equation 7c+8p=29.60 help us to solve the original system? 5c+4p=18.40 2c+4p=11.20 If you think so, explain how it help
garik1379 [7]

Step-by-step explanation:

Given the simultaneous equation

5c+4p=18.40 ..... 2

2c+4p=11.20.......2

According to the equation given  7c+8p=29.60, we will see that the two equation was added to get the required equation in question. Note that this equation  7c+8p=29.60 cannot help us to solve the simultaneous equation because the resulting equation is one equation with two unknown variables. For us to get a solution to the simultaneous equation, we need to reduce the system of equation to just an equation and a variable. This can be gotten by taking the difference of the two equation as shown: (Elimination method)

Equation 1 - equation 2 will give;

(5c-2c)+(4p-4p) = 18.40-11.20

3c+0 = 29.60

3c = 29.60

Divide both sides by 3

3c/3 = 29.60/3

c = 9.87

Substitute c = 9.87 into equation 2

From 2: 2c+4p = 11.20

c + 2p = 5.60

9.87 + 2p = 5.60

2p = 5.60 - 9.87

2p= -4.27

p = -4.27/2

p = -2.135

You can see that what helped in solving the system of equation is by eliminating one of the variables first using the Elimination method.

8 0
3 years ago
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