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3 years ago

Which of the following is an example of an irrational number?

Mathematics

1 answer:

svetoff [14.1K]3 years ago

5 0

Answer:

D. square root of 2

Step-by-step explanation:

The square root of 2 is an irrational number because it cannot be written as a ratio of two integers.

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Find the area between y=(x-2)ex and the x-axis from x=2 to x=4.

mojhsa [17]

Answer:

$e^4+e^2$

Step-by-step explanation:

It can be found by integral.

First let's find the intersection points.

$(x-2)e^x = 0$

Only intersection point is x = 2.

And it is asked to find the area in the interval (2, 4).

$\int\limits^4_2 (x-2)e^x \,dx=?$

We will use integration by parts.

$x-2=u\\dx=du\\e^xdx=dv\\e^x=v$

$\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2$

3 0

3 years ago

A student with two summer jobs earns $10 per hour at a cafe and $8 per hour at a market the student would like to earn at least

JulsSmile [24]

Answer: the answer is 432 per day so in 2 days she/he will have just enough

Step-by-step explanation:

7 0

2 years ago

Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate

KengaRu [80]

Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

6 0

4 years ago

PLEASE HELP! My friend and i cant figure out the answer!!! i attached a picture of the question please help us!!!

satela [25.4K]

Answer:

a.6.66

b.384

c.860

d.166

Step-by-step explanation:

6 0

4 years ago

Find the slope of the line passing through the points (-2,5) and (3/2, 2).

sveticcg [70]

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

<h3> $m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7}$ </h3>

We have the final answer as

Hope this helps you

8 0

3 years ago