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Ray Of Light [21]
3 years ago
11

how many ways can 8 members of a family be seated side-by side in a movie theater if the father is seated on the aisle?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
Ok so there are 7 different options for each of the remaining 7 people to be sat in which means that the answer can be given by 7!=7*6*5*4*3*2*1=5040 different ways
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Please help the test is due today !!
fiasKO [112]

Answer:

The first one is x axis

the second one is the axis

third one doesn't seem to be a reflection

8 0
2 years ago
There are some monkeys in the zoo. 60% are young monkeys and the remaining are baby and old monkeys. The ratio of baby monkeys t
USPshnik [31]

Answer:

There are 60 monkeys in the Zoo

Step-by-step explanation:

In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.

Let’s have the total number of monkeys be m.

60% are going monkeys. This means number of young monkeys is 0.6m.

The number of baby and old monkeys is obviously 0.4m.

Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m

Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.

Let’s project this mathematically;

This means ;

0.6m - 0.3m = 18

0.3m = 18

m = 18/0.3

m = 60

There are 60 monkeys in the zoo

3 0
3 years ago
Read 2 more answers
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angula
solmaris [256]

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity  (or angular speed) is 3,140 radians per minute.

8 0
2 years ago
Read 2 more answers
Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6
Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in  order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0
2 years ago
You start driving north for 7 miles, turn
aniked [119]

Answer:

The answer is 25 miles

Step-by-step explanation:

5 0
3 years ago
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