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Mars2501 [29]
3 years ago
9

Several pennies are tossed in the air. Twelve land heads up and fifteen land tails up. Which of the following ratios are correct

?
Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

the ratio is 4/5

Step-by-step explanation:

27 pennies all together. just divide the number of each group by the same thing till you no longer get a whole number. like 3÷12 and 3÷15. Do it till you get the smallest whole number for each

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2. 3 times the sum of a number x and 13
torisob [31]

Answer:

(x+13)2.3                 if simplifying.    

Step-by-step explanation:

sum means add. so x plus 13  times 2.3     or    2.3(x+13)

8 0
3 years ago
Find the slope and y-intercept of y=10x​
masha68 [24]

Answer:

the slope would be 10

and the y-intercept would be 0

5 0
3 years ago
Read 2 more answers
The graph of the line passes through the points (0,-2) and (6,0). What is the equation of the line?
valina [46]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6}\implies \cfrac{2}{6}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=\cfrac{1}{3}(x-0) \\\\\\ y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2

8 0
3 years ago
If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest
Whitepunk [10]

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

5 = ab^{-1}

\frac{a}{b} = 5

a = 5b

We also have that f(7)=32, hence:

32 = ab^7

Since a = 5b:

5b^8 = 32

b = \sqrt[8]{\frac{32}{5}}

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

y = 6.306(1.2612)^x

Then, when x = 4, we have that:

y = 6.306(1.2612)^4 = 15.95

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
Solve 3 ^ x + 6 = 3 ^ 4
aleksklad [387]

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x  = 3 ^ 4  -   6, or

3^x = 81 - 6  =  75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:  

x = (ln 75) / (ln 3) = 3.93 (approx.)

8 0
3 years ago
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