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3 years ago

Given function f(x)=x^2+5, determine the value of f(f(5))

Mathematics

1 answer:

zalisa [80]3 years ago

8 0

Answer:

905

Step-by-step explanation:

So your original equation is f(x) = x² + 5

First lets work with the stuff inside the parentheses.

f(5) = 5² + 5 = 30

So now you are finding,

f(f(5)) => f(30)

f(30) = 30² + 5 = 900 + 5 = 905

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Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the

Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒ $125^{2} = 50^{2} + (x)^{2}$

⇒ $15625 = 2500+ (x)^{2}$

⇒ $15625 = 2500+ x^{2}$

Subtracting both side by 2500

⇒ $13025 = x^{2}$

Square rooting both side, we know√a²=a

⇒ $\sqrt{13025} =x$

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= $x-10\ m$

⇒ Height of kite flying above tree= $114.127-10= 104.127\ m$

Hence, the height of kite above the tree is 104.127 meters.

3 0

3 years ago

Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all

Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0

2 years ago

Read 2 more answers

Linear equation 1/2X+Y=6

krek1111 [17]

You can graph it but cant answer it because there is two variables so try and change it to slope intercept form do you know how ???????

5 0

3 years ago

Translate the phrase into an algebraic expression.<br> The quotient of w and 4

Lady_Fox [76]

W/4 divide the two to find the quotient

4 0

3 years ago

Solve for x: -3x + 3< 6

Katarina [22]

Answer:

x > -1

Step-by-step explanation:

-3x + 3< 6
-3x < 3
x > -1
Hope it helped !
Adriel

8 0

2 years ago

Read 2 more answers