Model the unknown number situation by writing an algebraic expression.
the difference of a number and one hundred
n-100
100 - n
n + 100
100 +n

By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.

In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].

Let x = √2. Then

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]

[tex]x^{x^2}+x^{x^8}=2+256[/tex]

[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]

Answer:

Step-by-step explanation:

-13m-or+t m(484m+63t)/63m

Answer: ion evn kno cuh

Step-by-step explanation:

Answer:

This is arithmetic sequence and the common difference is equal to -4.

Step-by-step explanation:

If yuh just want the answer here, not explained

Answer:

true

Step-by-step explanation:

negatives keep getting smaller and smaller

Answer:

false

Step-by-step explanation:

negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value

Answer:

Hewo can anyone help

Step-by-step explanation:

I would go with the last option,it looks like it makes sense.

Hope that helped,I have snap if you need anything else :)

Answer:

The last one

Step-by-step explanation:

Answer:

The second graph  (where the line goes through the points -2 and 1)

Step-by-step explanation:

A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.

Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.

Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50

The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.

To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:

Total cost including tip = x × (1 + tip percentage)

Solving for the haircut cost before the tip gives:

12.60 = x ( 1 + 20%)

12.60 = 1.20x

x = 12.60 / 1.20

x = $10.50

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Answer:

reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function f(x) = tan (x)

From trigonometry identity, tan (x) = sin(x)/cos(x)

f(x) = sin(x)/cos(x)

Using the quotient rule to find the derivative of the function, we will have;

f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x

f'(x) = cos²x - sin²x/ cos²x

Divide through by cos²x

f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x

f'(x) = 1 + sin²x/cos²x / 1

f'(x) = 1 + (sin²x/cos²x)

f'(x) = 1 + tan²x

From trig identity,  1 + tan²x = sec²x

Hence, f'(x) = sec²x

Hence the expression  f'(x)  in terms of the secant function is sec²x

f'(x) = 1/cos²x

For the function to be defined, it means that cos²x ≠ 0

cos²x ≠ 0

cos x ≠ 0

x ≠ cos⁻¹0

x ≠ 90⁰

Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will  becomes f'(0) = 1/cos²0 = 1/1 = 1.

Hence the function is defined at 0≤x<90

Answer: There are 7 possible arrangments

Step-by-step explanation:

If you try to break down 150 you'll find that  you'll be able to divide/ multiply it by 10,15,2,3,12,5,50

Answer:

The correct option is (B).

Step-by-step explanation:

A type-I-error occurs when we discard a true null-hypothesis (H₀).

The hypothesis in this case are:

H₀: The proportion of Americans that have seen a UFO is 0.002, i.e. p = 0.002.

Hₐ: The proportion of Americans that have seen a UFO is less than 0.002, i.e. p < 0.002.

A type I error will be committed, if we reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

The correct option is (B).

Answer:

50$

Step-by-step explanation:

4*5=20

Option D : y= 2x-8 is the line passing through the given points

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

Answer:

30/7 is the answer yw

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Step 1:

6 - ( 5x - 9 ) 2       Equation

Step 2:

6 - ( 5 ( 1 ) - 9 ) 2     Input x

Step 3:

6 - ( 5 - 9 ) 2      Multiply

Step 4:

6 - ( - 4 ) 2        Subtract

Step 5:

6 - ( - 8 )      Multiply

Answer:

14        Add

Hope This Helps :)

Answer:

14

Step-by-step explanation:

1) 6-(5[1]-9)2

2) 6-(5-9)2

3) 6-(10-18)

4) 6-(-8)

5) 14

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

Answer:

ummmm... odd

Step-by-step explanation:

Odd

Because if you try to multiply it would be it nothing would be equal to 8

Answer:

The elevator goes 25 feet per second.

Step-by-step explanation:

The elevator goes 500 feet every 20 seconds so to find how hogh it gets to in 1 second, you have to use the equation 500 divided by 20 to get 25.

Hope this helps idk if it will tho.

Answer:

Each person has 1/4 of a peice of paper

Step-by-step explanation:  Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper

Answer:

f(x)= -(x-2)^2+2

Step-by-step explanation:

the same valuve needs the be added to both sides

f(x)+?= -x^2+4x+?-2

to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression

f(x)+?= -x^2+4x-4-2

since -4 was added to the right side, also add -4 the the left side

f(x)-4= -x^2+4x+?-2

now factor out the negative sign from the expression

f(x)-4= -(x^2-4x+4)-2

using a^2-ab+b^2=(a-b)^2

f(x)-4= -(x-2)^2-2

move the constant the the right side and change its sign

f(x)= -(x-2)^2-2+4

now calculate the sum

f(x)= -(x-2)^2+2

The equation that can be used to find the cost of each ticket is 4x = 52.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Number of people who bought the tickets = 4

The total cost of tickets = $52

Now,

The cost of each ticket.

= 52 ÷ 4

= 13

Now,

Cost of one ticket = x

4x = 52

x = 52/4 = 13

Thus.

The cost of each ticket is $13.

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Answer: x ≥ 250

Step-by-step explanation:

Answer:

goobaaaaa

Step-by-step explanation:

Answer:

7.59604031⋅10 to the power 126

Step-by-step explanation: