All categories

3 years ago

What inequality is represented by this graph?

Mathematics

1 answer:

zimovet [89]3 years ago

5 0

Since the graph has an unshaded point, it would be either < or >.
X is anything less than 6
The answer would be x<6

You might be interested in

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

1 year ago

10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction

sineoko [7]

Answer:

$\large\boxed{\dfrac{27}{80}}$

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression $10x^3y^{-5}z^{-2}$ :

$10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}$

7 0

3 years ago

What is the equation to find the Surface Area for a Cone?

defon

Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

literally just search it up

4 0

2 years ago

Read 2 more answers

What is 7 hundred x 10 in unit form?

Sphinxa [80]

Unit form is putting all numbers in place according to its place value.

The proble states 7 hundred which means that 7 is in the one hundreds place.

7 * 100 = 700

The unit form is 700 x 10 = 7,000

8 0

3 years ago

Read 2 more answers

HELP ME FOR BRAIN PLEASE MS SMARTIEZ OR SOMEONE IM CRYING TODAYS MY BIRTHDAY AND ALL I HAVE IS SCHOOL WORK ITS SO TERRIBLE !!

Ket [755]

The answer to the first part of your question is 9
as for the second part 36/4 (which is 9 btw) then subtract 2 I answered this one the best I could (let me know if I'm wrong)

(i just don't have to much time on my hands because I have homework myself)

3 0

4 years ago

What inequality is represented by this graph?​

What inequality is represented by this graph?