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3 years ago

9

The Theater Club will rent space for rehearsals before their performance. If the space costs $65 per hour. How much will it cost

for 4 three hour rehearsals

2 answers:

kifflom [539]3 years ago

8 0

It will cost $780 for that amount too time

almond37 [142]3 years ago

7 0

Answer:

$780

Step-by-step explanation:

65 ( per hour) • 3 ( for three hours ) = $195

195 • 4 ( amount you need ) = $780

You might be interested in

Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14

PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

$N(t)=N_{0}e^{-\lambda t}$

Where:

No = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

$\lambda$ = The decay constant.

One important parameter related to radioactive decay is the half-life:

$\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }$

If we know the value of the half-life, we can calculate the decay constant:

$\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}$

Carbon-14 has a half-life of 5,730 years, thus:

$\displaystyle \lambda=\frac {\ln(2)}{ 5,730}$

$\lambda=0.00012097$

The equation of the remaining quantity of Carbon-14 is:

$N(t)=N_{0}e^{-0.00012097\cdot t}$

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

$0.10N_o=N_{0}e^{-0.00012097\cdot t}$

Simplifying:

$0.10=e^{-0.00012097\cdot t}$

Taking logarithms:

$ln 0.10=-0.00012097\cdot t$

Solving for t:

$\displaystyle t=\frac{log 0.10}{-0.00012097}$

$t\approx 19,035\ years$

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0

3 years ago

Read 2 more answers

Graph the function <br> f( x ) = 3√ x - 2+3

mezya [45]

Step-by-step explanation:

Direction: Opens Up

Vertex:

(

3

,

−

3

)

(3,-3)

Focus:

(

3

,

−

11

4

)

(3,-114)

Axis of Symmetry:

x

=

3

x=3

Directrix:

y

=

−

13

4

y=-134

Select a few

x

x values, and plug them into the equation to find the corresponding

y

y values. The

x

x values should be selected around the vertex.

Tap for more steps...

x

y

1

1

2

−

2

3

−

3

4

−

2

5

1

xy112-23-34-251

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

3

,

−

3

)

(3,-3)

Focus:

(

3

,

−

11

4

)

(3,-114)

Axis of Symmetry:

x

=

3

x=3

Directrix:

y

=

−

13

4

y=-134

x

y

1

1

2

−

2

3

−

3

4

−

2

5

1

7 0

3 years ago

I need help i only have 5 min left

kirza4 [7]

Answer:

find the slope then use this y-y1=m(x-x1)

Step-by-step explanation:

6 0

3 years ago

F(x)=x+1/x-2<br> find the inverse

Snowcat [4.5K]

X=1/2
Could be your answer

3 0

3 years ago

Giving branly to the frist one to answer and give the best and right answer

musickatia [10]

Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Initially, researching the problem on the internet, it is found that the market is at position (3,8).

Then, it was shifted 2 units left and 3 units down, hence the new position is given by:

(3 - 2, 8 - 3) = (1,5).

His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

More can be learned about translation concepts at brainly.com/question/4521517

4 0

2 years ago