3 ^ (1 - 2x) = 243
-
-
-

Answer:

x = -6

Step-by-step explanation:

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

75 miles

if u do 15x5 you will get 75 and that's how many miles you will get

Answer:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Step-by-step explanation:

The computation is given below:

As we know that

Population density = Population ÷ Area

So

For city A = 2,195,914 ÷ 1,553 = 1413.98

For city B = 48,592 ÷ 26 = 1868.15

For city C = 1,257,676 ÷ 999 = 1258.93.

For city D = 196,429 ÷ 258 = 761.35.

The following are the true statements:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Answer:

A, D, E

Step-by-step explanation:

Just did it on edge!

Answer:

7

Step-by-step explanation:

hope it helps

Answer:

monke explanation teen dance teen look good while dance teen famous

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you have to calculate CB in order to use sin law to calculate ∠A

CB=[tex]\sqrt{18.4^{2} -13.2^{2} }[/tex]

CB=12.8(correct to nearest tenth)

After that, use sin law to calculate ∠A,

[tex]\frac{18.4}{sin90} =\frac{12.8}{sinA}[/tex]       or    [tex]\frac{sin90}{18.4} =\frac{sinA}{12.8}[/tex]

sinA=0.695...

A=44.079...

  =44.1(corrext to the nearest tenth)

Is that clear enough for you?

Answer:

288 points

Step-by-step explanation:

24 × 12 = 288

hope this helps...

Step-by-step explanation:

24*12=288 points (ans)

Answer:

maths challenge>

Step-by-step explanation:

samee

Answer:

i do beleve its ether A or E

Step-by-step explanation:

Answer:

A and C and E

Step-by-step explanation:

All these answers are true because the line is always constant, the slope is going down so therefore negative, and the equation is correct because you can fill in any value and they would be correct.

Answer:

x = -28/39, y = 7/39

Step-by-step explanation:

Graph both and find the corresponding points.

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

Answer: 0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

i took the test i got it right!

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Answer:12.5

Step-by-step explanation:

50 divided by 4 = 12.5

Answer:

$666

Step-by-step explanation:

6*111

= 666

Answer:

6

Step-by-step explanation:

YES

Answer:

They will not get the same amount of bracelets

Step-by-step explanation:

You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)

Answer:

3 of the friends plus Gaby will get 17 bracelets and 1 of them will get 4/5 of the bracelets

Step-by-step explanation:

89 divide by 5 = 17.8

Answer:

its box 1,3,5

Step-by-step explanation:

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

2!!

Step-by-step explanation:

Answer: It's 18

Step-by-step explanation: i took it and got it right

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in point- slope form is

y = mx + c ( m is the slope ( gradient ), c is the y- intercept )

y = [tex]\frac{1}{2}[/tex] x ← is in point- slope firm

with gradient = [tex]\frac{1}{2}[/tex]

Answer:  3/2 cm per second

========================================================

Explanation:

We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.

The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.

We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.

Answer:

16000 bacteria after 60 days

Step-by-step explanation:

60 divided by 12 = 5

500 x 2= 1000

1000 x 2 = 2000

2000 x 2 = 4000

4000 x 2 = 8000

8000 x 2 = 16000

The function is, f(x) =  2x/12*t

And, the number is 16000 bacteria after 60 days.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, given that,

A bacteria grows exponentially so that it doubles every 12 days

let, initially the number of bacteria = x

after 12 days = 2x

i.e. after t days = 2x/12*t

So, the function is, f(x) =  2x/12*t

Now, we have,

60 divided by 12 = 5

So, the number of bacteria will be,

500 x 2= 1000

1000 x 2 = 2000

2000 x 2 = 4000

4000 x 2 = 8000

8000 x 2 = 16000

Hence,   the number of bacteria after 60 days is 16000.

To learn more on function click:

brainly.com/question/21145944

#SPJ2

Answer:

16

Step-by-step explanation: your welcome