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3 years ago

Consider the function y=f(x)=3^x

Mathematics

2 answers:

fomenos3 years ago

6 0

3^1/2 = 1.73
3^1/4 = 1.32

aalyn [17]3 years ago

4 0

Answer:

The values of f(1/2) and of (1/4), rounded to the nearest hundredth, are 1.73 and 1.32, respectively.

Step-by-step explanation:

The given function is

$f(x)=3^x$

Substitute $x=\frac{1}{2}$ in the given function to find the value of $f(\frac{1}{2})$ .

$f(\frac{1}{2})=3^{\frac{1}{2}}$

$f(\frac{1}{2})=1.732$

$f(\frac{1}{2})\approx 1.73$

Therefore the values of f(1/2) is 1.73.

Substitute $x=\frac{1}{4}$ in the given function to find the value of $f(\frac{1}{4})$ .

$f(\frac{1}{4})=3^{\frac{1}{4}}$

$f(\frac{1}{4})=1.316$

$f(\frac{1}{4})\approx 1.32$

Therefore the values of f(1/4) is 1.32.

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What is the square and square root of 9x⁸

adelina 88 [10]

Answer:

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Step-by-step explanation:

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3 years ago

Multiply sixth of sixty six by a half of ten <br><br> Show step by step method

zimovet [89]

The answer is 55
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3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

3 years ago

jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

skad [1K]

Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
Width = 10 1/2 or 10.5 inches long
? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches.
Hope this solution helps.

4 0

3 years ago

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sergij07 [2.7K]

48.195*3
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6 0

3 years ago