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bonufazy [111]
3 years ago
7

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

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The expression (x^3)(x^-17) is equivalent to x^n".<br><br> What is the value of n?
Nesterboy [21]

Answer:

You add the powers, so (X^3)(x^-17)=x^n n= (3+-17) Meaning n=-14

Step-by-step explanation:

5 0
3 years ago
A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who
dezoksy [38]

Answer:

The sample  size is  n =68

Step-by-step explanation:

    The population proportion is  \^ p =  0.50

     The margin of error is  E =  0.1

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>  n = [\frac{1.645 }{0.1} ]^2 * 0.50  (1 - 0.50 )

=>  n =68

     

6 0
3 years ago
Simplify this math problem show Your work
loris [4]

9514 1404 393

Answer:

  (p -9q)/(4p² +12pq)

Step-by-step explanation:

The least common denominator will be the product of the denominators.

  \dfrac{-3}{4p}+\dfrac{1}{p+3q}=\dfrac{-3(p+3q)+1(4p)}{(4p)(p+3q)}=\boxed{\dfrac{p-9q}{4p^2+12pq}}

5 0
3 years ago
5/12 greater than 1/4
katrin [286]
1/4 = 3/12

3/12 < 5/12

Therefore, 5/12 is greater than 1/4
5 0
3 years ago
Let f(x)=2.912345x^2+3.131579x-0.099999
Rudiy27
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
5 0
3 years ago
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