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1 year ago

The mass of an object is equal to the product of the object's density and volume.

Mathematics

2 answers:

AlexFokin [52]1 year ago

6 0

The answer is A you divide 11.3 by 16

Zarrin [17]1 year ago

4 0

Answer:

0.706 grams

Step-by-step explanation:

Given : The density of lead is 11.3 grams per cubic centimeter.

Volume of a piece of lead is 16 cubic centimeters.

To Find: Mass

Solution:

$Mass = \frac{Density}{Volume}$

$Mass = \frac{11.3}{16}$

$Mass = 0.706$

So, Mass = 0.706 grams

Hence If the volume of a piece of lead is 16 cubic centimeters, its mass is 0.706 g .

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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz

vitfil [10]

To graph it, just graph $y=-3^{-x}-6$ and $y=-3^x+10$ and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
$3^{-x}+6=3^x-10$
multiply both sides by $3^x$
$3^0+6(3^x)=3^{2x}-10(3^x)$
$1+6(3^x)=3^{2x}-10(3^x)$
minus 1 from both sides and minus 6(3^x) from both sides
$0=3^{2x}-16(3^x)-1$
use u subsitution
$u=3^x$
we can rewrite it as
$0=u^2-16u-1$
now factor
I mean use quadratic formula
for $ax^2+bx+c=0$ $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so for 0=u^2-16u-1, a=1, b=-16, c=-1
$u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}$
$u=8+/-\sqrt{65}$
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
$u=8+\sqrt{65}=3^x$
$8+\sqrt{65}=3^x$
if you take the log base 3 of both sides you get
$log_3(8+\sqrt{65})=x$
if you use ln then
$ln(8+\sqrt{65})=xln(3)$
then
$\frac{ln(8+\sqrt{65})}{ln(3)}=x$

8 0

2 years ago

Read 2 more answers

Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that

fredd [130]

<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3

so the ans is 1/2 * 2/3 = 1/3

</span>

7 0

2 years ago

Read 2 more answers

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im

loris [4]

Answer:

Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).

As, DO is Dilation of Δ ABC by Scale factor of $\frac{1}{2}$ .

Vertices of A' B'C' are

$A'=(\frac{-4}{2},\frac{3}{2})=(-2,\frac{3}{2}), B'=(\frac{4}{2},\frac{4}{2})=(2,2), C'=(\frac{1}{2},\frac{1}{2})$

So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.

The two triangles will be congruent.

AO is Dilated by a factor of half , so A'O' will be half of AO.

So, correct Statements are

1. AB is parallel to A'B'.

2.DO,1/2(x, y) =

The distance from A' to the origin is half the distance from A to the origin.

$OA=\sqrt{(-4)^2+3^2}=\sqrt{25}=5\\\\ O'A'=\sqrt{2^2+(\frac{3}{2})^2}=\frac{5}{2}=2.5$

8 0

1 year ago

Read 2 more answers

What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4

valkas [14]

Hi there!

5k - 2k = 12
Solve for K
3k = 12
Divide both sides by 3
3k/3 = 12/3
k = 4
The correct answer is : 4

I hope that helps!
Brainliest answer :)

8 0

1 year ago

Read 2 more answers

The average age of doctors in a certain hospital is 45.0 years old. Suppose the distribution of ages is normal and has a standar

Ad libitum [116K]

Answer: 0.7619

Step-by-step explanation:

Given : Mean : $\mu=45.0$