Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. 3. a. How fast was Diego walking in miles per hour?

Answer:

The answer is "It must be shown that both [tex]j(k(x))\ and \ k(j(x))=x[/tex]"

Step-by-step explanation:

Given:

[tex]j(x) = 11.6 e^{x} \\\\k(x) =\ln\frac{x}{11.6}[/tex]

To show that both are equal functions, and  show that both[tex]j(k(x))\ and\ k(j(x)) =x,[/tex]

For [tex]j(k(x));[/tex]  

[tex]j(k(x)) = j[(\ln \frac{x}{11.6})]\\\\j[(\ln (\frac{x}{11.6})] = 11.6e^{\ln (\frac{x}{11.6})}\\\\j[(\ln \frac{x}{11.6})] = 11.6(\frac{x}{11.6})\\\\[/tex](The natural logarithm is canceled by exponential function)  

[tex]j[(\ln \frac{x}{11.6})] = 11.6 \times\frac{x}{11.6}\\\\j[(\ln \frac{x}{11.6})] = x\\\\j[k(x)] = x\\\\for\ \ k[j(x)]:\\\\k[j(x)] = k[11.6e^x]\\\\k[11.6e^x] = \ln (\frac{11.6e^x}{11.6})\\\\k[11.6e^x] = \ln(e^x)[/tex]

Its natural logarithm leaving x will nullify expanding universe.

[tex]k[11.6e^x] = x\\\\k[j(x)] = x[/tex]

In the question, it is seen that[tex]j[k(x)] = k[j(x)] = x[/tex], shows that the functions [tex]j(x) = 11.6 e^{x} \ and \ k(x) = \ln \frac{x}{11.6}[/tex] is inverse functions.

Answer:

C

Step-by-step explanation:

Ed2021

Answer:

y = 3x - 9

Step-by-step explanation:

Let's start by finding the slope of the line:

The formula for slope is [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex].

Plug in the numbers and solve:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{-3 - (-6)}{2 - 1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m = 3[/tex]

The slope of the line is 3.

The slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y-intercept.

Plugging in the number we got for the slope, the equation becomes:

y = 3x + b

Let's solve for b by plugging in an ordered pair for y and x:

y = 3x + b

-3 = 3(2) + b

-3 = 6 + b

b = -9

The y-coordinate of the line is (0, -9).

Now, plugging in the number into our equation, we get:

y = 3x + (-9)

y = 3x - 9

And that's the equation of the line!

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

Answer:

explain abit about it

please l don't understand

Here's the solution,

the given figure is a kite,

So, BC = DC

=》

[tex]2x - 5 = x + 3[/tex]

=》

[tex]2x - x = 3 + 5[/tex]

=》

[tex]x = 8[/tex]

value of x = 8

The median is 3.5

Hope this helped

(*^▽^*)

Answer:

Your brother (I think i'm right)

Step-by-step explanation:

Perimeter is bigger than circumferance if same "length"

Answer:

I believe that the answer is 'n=8'.

Answer:

B. A dilation with a scale factor of 0.5

Step-by-step explanation:

A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.

B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent

C.  is wrong because translations keep the angles and side lengths of the figure the same.

D. is wrong because a scale factor of 1 changes nothing about the figure.

Answer:

It's not 5x + 100 = 180,

it's 5x = 180 because they are vertical angles.

x = 36

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

Answer:

We can’t see the question

Step-by-step explanation:

we need a question to solve for the question

Answer:

Step-by-step explanation:

Given:

Area of the base :

Height of cylinder:

The volume is:

Answer:

Answer:

24.75

Step-by-step explanation:

you want to multiply 4.95×5 and you will get the answer $24.75.

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

Answer: [tex]\$882[/tex]

Step-by-step explanation:

Given

Jordan sold lawn tractor and accessories for [tex]\$980[/tex]

he receives 9 times more money for a tractor than for accessories

Suppose, he receives x amount for accessories

So, for tractor it is [tex]9x[/tex]

total amount is

[tex]\Rightarrow 9x+x=980\\\Rightarrow 10x=980\\\Rightarrow x=\$98[/tex]

He receives [tex]9x=\$882[/tex] for tractor

Answer:

y = 7/5x - 21/5

Step-by-step explanation:

points to use to find slope:  (3,0) and (8,7)

slope = 7-0 / 8-3

slope = 7/5

find y-intercept (or 'b')

0 = 3(7/5) + b

0 = 21/5 + b

-21/5 = b

b = -4 1/5

Answer: 14.4

Step-by-step explanation:

Answer:

B. 35 Square Miles

Step-by-step explanation:

Answer:

Circumfrence=:42.53889

Step-by-step explanation:

Answer:

800 dollars

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The gravitational potential energy of a body can be found by using the formula

GPE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

GPE = 2.5 × 9.8 × 300

We have the final answer as

Hope this helps you

mark as brainliest

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

Answer:

3077.68

Step-by-step explanation:

the Area of the regular decagon is 3077.68

The area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -

V = ∫∫F(x, y) dx dy

Given is a regular decagon with length of each side is 20 units

The area of the regular decagon is -

A = (5/2)a²√(5 + 2√5)

We have {a} = 20. So, we can write that -

A = (5/2)(20)²√(5 + 2√5)

A = (5/2) x 400 x √(5 + 2√5)

A = 5 x 200 x √(5 + 2√5)

A = 1000√(5 + 2√5)

Therefore, the area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ2

Answer:

500 pts  :DDDD

Step-by-step explanation:

1 )   y = mx + b

hmmm 2 is wrong

2)  y = -a[tex]x^{2}[/tex]+bx+c

I'm unsure about 3 also  hmm

3)  y = a[tex]x^{y}[/tex]