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ddd [48]
3 years ago
6

Evelyn has a first name, 2 middle names, and a last name. In how many different ways could Evelyn arrange the initials of her na

me?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

4! = 4×3×2×1= 24

in 24 different ways

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A 7m wide path is to be constructed all around and outside a circular park of diameter
Assoli18 [71]

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

8 0
3 years ago
Read 2 more answers
The output of a function or relation, or the set of y-values that a graph is defined for, is called the ___.
Andre45 [30]

Answer:

Range

Step-by-step explanation:

The range of a graph tells you <u>all of the possible y-values</u> for it.

There is also the domain, which tells you all of the possible x-values.

For example, if you have this relation, that only has these points:

(1, 2) (2, 4) (3, 6)

Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.

The domain would be {1, 2, 3}.

3 0
3 years ago
What is the length of the tangent line in the picture?
S_A_V [24]

Answer:

x = -2

Step-by-step explanation:

The tangent line has length "x + 8"

The secant line has length "x + 6 + 5", where

5 is the inner part

x + 6 is the outer part

Now,

the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.

So, we can say:

(x+8)^2 = (x+6)(x+6+5)

We can solve for x shown below:

(x+8)^2 = (x+6)(x+6+5)\\(x+8)^2=(x+6)(x+11)\\x^2+16x+64=x^2+17x+66\\17x-16x=64-66\\x=-2

The value of x is -2

4 0
3 years ago
A cruise ship is currently 20 kilometers away from its port and is traveling away from the port at 5 kilometers per hour . The f
Paladinen [302]

Answer:

The ship will be 37.5\ km far from its port 3.5 hours from now

Step-by-step explanation:

Hi

The function is y=5x +20 relates the number of kilometers y the ship will be from its port x hours from now, it has a form y=vt+y_{0} \ where \ y\ is\ final\ distance\\v\ is\ velocity\ in\ km/h,\ t\ is\ time\\and\ y_{0}\ is\ initial\ distance.

As the function is clearly defined, we only have to evaluate it for x=3.5, so y(3.5)=5(3.5)+20=17.5+20=37.5 \ km is the distance between the cruise ship and its port after 3.5 hours.

7 0
2 years ago
A zebra ran at a speed of 20 ft./s what operation should you to find the distance the zebra ran in 10 seconds
evablogger [386]
V (velocity) = distance / time

So distance = velocity x time = 20 x 10 = 200 ft.
7 0
3 years ago
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