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2 years ago

Which is the best estimate to the nearest one percent of startfraction 7 over 15 endfraction?

Mathematics

1 answer:

ipn [44]2 years ago

4 0

The best estimate to the nearest one percent of the fraction; 7/15 is; 47%.

<h3>What is the best estimate of the fraction to the nearest percent?</h3>

From the task content, it follows that the fraction given whose estimate is to be determined is; 7/15.

The fraction expressed as a percentage is;

(7/15) × 100 %

= 46.667%.

Hence, when rounded to the nearest one percent; = 47%.

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

8 0

3 years ago

Read 2 more answers

Which number is represented by the number line

denpristay [2]

Answer: B

Step-by-step explanation: The number line has tally marks up to 3, so 3 has to be divided by something, meaning A and C do not work. There are 9 total tally marks circled, so the equation equals 9, leaving B as the only possible answer. Also, there are three tally marks per whole number, so each tally is 1/3, which is equal to 2/6, further proving it is B.

5 0

3 years ago

Identify whether each phrase is an expression, equation, or inequality. Term Phrase

Llana [10]

The first Phrase

$0=p-\frac{7}{3}$ , is a equation.

The second phrase

4q>s+ $6^{4}$ , is an inequality.

The third phrase

4a-5 is an expression

<h3>What is Equation, Expression and Inequality?</h3>

An equation is a mathematical expression that contains an equals symbol.

An expression is a combination of numbers, variables, functions

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The first Phrase

$0=p-\frac{7}{3}$ , is a equation.

A equation contain operand, operators(+,-,*,/) and an equal sign.

The second phrase

4q>s+ $6^{4}$ , is an inequality.

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The third phrase

4a-5 is an expression

An expression is a combination of numbers, variables, functions

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2 years ago

The graph of a bicycle ramp contains the points (-6,0) and (3,3). What is the slope of the ramp?

olasank [31]

The slope of the ramp would be 5/9

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