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2 years ago

The Futurists, a rock group, are planning a concert tour with performances to be

Mathematics

1 answer:

Marrrta [24]2 years ago

7 0

Answer:

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5

Anna35 [415]

Answer:

$0.625kg$

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

$\displaystyle f(t) = a {0.5}^{t/T}$

where:

f(t) is the remaining quantity of a substance after time t has elapsed.
a is the initial quantity of this substance.
T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

$\displaystyle f(420)=5\cdot{0.5}^{420/140}$

reduce fraction:

$\displaystyle f(420)=5\cdot{0.5}^{3}$

By using calculator we acquire:

$\displaystyle f(420)=0.625$

hence, the remaining sample after 420 days is 0.625 kg

4 0

2 years ago

SOMEONE PLEASE HELP ME

Bas_tet [7]

#1 is similar to write it out it’s triangle FHG ~ triangle KJL #2 is also but #3 and #4 aren’t

3 0

2 years ago

Find the slope-intercept form of the line that

notka56 [123]

I hope u understand the solution.

5 0

1 year ago

Badal has 120 cm 3 of water. He wants to pour it into a rectangular vase that is 4 cm high, 4 cm wide, and 5 cm long. Can he pou

Anestetic [448]

Answer:

volume= 4×4×5

Therefore he can't pour all the water into the vase because the amount of water is 120cm³ whilst the vase is 80. An amount of water as that can't fill the vase

6 0

2 years ago

Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean o

beks73 [17]

Answer:

CV for statistics exam = 15%

CV for calculus exam = 19%

Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

Step-by-step explanation:

To find coefficient variation we use the formula:

CV = (SD/mean) * 100

CV for the statistics exam:

where; SD= 5

mean= 75

CV = ( 5/75) *100

= 0.15 or 15%

CV for calculus exam

SD = 11

Mean= 58

CV= (11 /58) * 100

= 0.19 or 19%

8 0

2 years ago