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My name is Ann [436]

3 years ago

15

a collector found a bone near former mayan territory. after careful research it has been determined that the bone lost about 15%

of its carbon-14. How old is the bone?

1 answer:

Olin [163]3 years ago

4 0

Answer:

পার্সেন্টস সহ এই সূত্রটি মিশ্রিত হয় ...

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Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c

Korvikt [17]

Set 500 to sum of distances traveled by both cars.
$55t + 60t = 500 \\ 115t = 500 \\ t = (500/115) = 4.3$

4 0

3 years ago

,does a polygon usually have more sides or angles.explain

Advocard [28]

they have the same amount of sides as they do angles,

5 0

3 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

The first tern of an arithmetic sequence is -3 and the fifteenth term id 53. What is the common difference of the sequence?

arsen [322]

The common difference is 4. U know that the formula is the first term + d(n -1). N-1 is 14 so u know that 14 times a number needs to equal 56 because the first term is -3 and 56-3 is 53. 14 * 4 is 56. So the common difference is 4

5 0

3 years ago

Which side of triangle DEF is shortest?

Stells [14]

Answer:

It would be the side opposite the smallest angle.

Side DE (which is opposite angle F) is the shortest.

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers