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3 years ago

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

$\cfrac{2^{ \frac{3}{4} }}{2^{ \frac{1}{2} }}=2^{ \frac{3}{4} - \frac{1}{2} } =2^{ \frac{3}{4}- \frac{2}{4} }=2^{ \frac{1}{4} }= \sqrt[4]{2}$

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A bus travels 36 miles in 45 minutes. How many miles will the bus travel in 60 minutes at this rate. Show a ratio.

ankoles [38]

A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:

rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles

3 0

3 years ago

One and sixty-five hundredths added to twelve and seven tenths

kolbaska11 [484]

Answer:

14.35

Step-by-step explanation:

1.65 + 12.7

5 0

3 years ago

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A line passes through points (2,5) and (5, 14). What is the slope of this line?

topjm [15]

We know that:

Slope of a line = change in y coordinate / change in x coordinate

We are given:

First point = (2,5)

Second point = (5, 14)

Calculating the change in y coordinate:

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

Calculating the change in x coordinate:

Δx = second x - first x

Δx = 5 - 2

Δx = 3

Slope of the line:

Slope = (Δy) / (Δx)

Slope = 9 / 3 [replacing the values]

Slope = 3

7 0

3 years ago

Solve the following equation using the quadratic formula: 12x^2+x-1=0

german

Answer:

-1/3 1/4 answers b

Step-by-step explanation:

3 0

3 years ago

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti

zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, $\mu=18$

and standard deviation, $\sigma=2.6$

The z-score, for any arbitrary life span of x year, is given by

$z=\frac{x-\mu}{\sigma}$

By using the given values, we have

$z=\frac{x-18}{2.6} \cdots(i)$

The z-score for x=24, by using equation (i), is

$z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31$

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0

2 years ago

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