Graph the equation using the slope and y-intercept y = -x + 3

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Answer:

.9

Step-by-step explanation:

Answer:

5 groups

2 extra children

Step-by-step explanation:

The computation of a number of groups and number of extra children is shown below:

Given that

There is 27 children

And, this group would be divided into group 5

So,

As we know that 25 is easily divided by 5

So there are 5 groups

And, the extra children is

= 27 - 25

= 2 chidren

Answer:

c=l/--a^2+b^2=l/--45^2+20^2≈49.24429

Step-by-step explanation:

l/-- mean square root

^ means squared/ exponent

Answer:

Since they're asking you to find the missing sides "y" and "x" here's what you need to do....

Step-by-step explanation:

1) This is the 45-45-90 Triangle.

2) y = 20 becasue this is an isocelese triangle - meaning a triangle that has 2 sides of equal lengths!

3) in order to find x (which is the hyptoneus) you have to do

       [tex]\sqrt{2}[/tex] * leg (use on of the legs)

    =  [tex]20\sqrt{2}[/tex]

also I think 45 degrees is there just to throw you off. And I'm pretty positive this is the correct answer, and i'm 100% sure that y = 20 is correct!

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

Answer:

find the squares of both numbers

5²= 25

13²=169

minus the squares

169-25=144

find the square root of the answer above

✓144=12

the possibility of the third side is 12

Answer:

f = 4n

f = n+27

Fred is 36 years old and Nathan is 9 years old.

n = 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ooh I love these type of problems

Okay, here we go :

f = Fred and n = Nathan

  f = 4n

  f = n + 27

Above are the two equations (the words translated into algebra)

Now you can solve using substitution (any method works, but substitution is easiest for this problem)

4n = n + 27

3n = 27

n = 9

Since n = 9 substitute n into either equation

f = 4 * 9

f = 36

Fred is 36 and Nathan is 9

lol :)

Answer:

Y= 3b

Step-by-step explanation:

Answer:

172 is the 34th term

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

Answer:

y = (10 * 0.2) ^ x

Y = (2)^x

Y =  2^x + 10

6.5 hours

Step-by-step explanation:

Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.

Answer:

7......do you need explanation?

Answer:

363.0449

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

To find a squared, add  13 squared plus 5 squared then find square root.

13.93 is about it.

Then do 13 squared plus 13.93 squared and find the square root.

363.0449

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

Answer:

how can you ask perfectly...

Answer:

2n-9

Step-by-step explanation:

Answer:

35 c 36 d

Step-by-step explanation:

Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

Answer:

2

Step-by-step explanation:

(6*2.5)/6.5 = 30/13

Answer:I think its B 30/13

Step-by-step explanation:

I used a calculator

Answer:

a

Step-by-step explanation:

formula for cos theta is ration of adjacent side to hypotenuse side

so, 28 is adjacent side.

and 53 is hypotenuse side.

Thats why the ans is A

The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The value of cosθ can be written as,

Cosθ = Base / Hypotenuse

Cosθ = 28/53

Hence, the correct option is A.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ2

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

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