Jenny selects a box of cereal for her family at the supermarket. Across town, Chase also happens to pick out a box of cereal for his own family. Are these two events dependent or independent?

Answer:

what models

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Use 'Percent(age) Composition'

1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.

2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.

75% of students enjoy reading in their spare time.

Answer:

I think it is A

Step-by-step explanation:

because there is only 1 slope which is 3 and the y intercept is 4

Answer:

39 yards.

Step-by-step explanation:

52 squared plus B squared equals 65 squared

To check if x = 9 is the solution, we need to replace every x with 9 and simplify

(3+x)/4 = 3

(3+9)/4 = 3

12/4 = 3

3 = 3

We get the same thing on both sides, so the last equation is a true equation. This means that the first equation is a true equation when x = 9. Therefore, the solution x = 9 is confirmed.

Answer:

angle 1 = angle 3

= 180°-136°

=44°

= angle 3

Answer:

0.52 km

Step-by-step explanation:

We are given that

Speed of object, v=[tex]9\frac{9}{10}km/h[/tex]

Speed of object, v=[tex]9+0.9=9.9km/h[/tex]

Distance travel by object, s=[tex]5\frac{1}{10}km[/tex]

Distance travel by object, s=[tex]5+0.1=5.1km[/tex]

We have to find the time taken by object to travel 5 1/10 km.

We know that

[tex]Time=\frac{Distance}{speed}[/tex]

Using the formula

Time taken by object to travel 5.1 km =[tex]\frac{5.1}{9.9} hr[/tex]

Time taken by object to travel 5.1 km=0.52 hr

Answer:

m= 5/2

Step-by-step explanation:

Answer:

$168

Step-by-step explanation:

Hope this helps and have a great day!!!!

Answer:

y = 5x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

Answer:

When we have a function g(x)

We will have a maximum at x when:

g'(x) = 0

g''(x) < 0.

Now we start with:

g(x) = 3*x^4 - 8*x^3

The first derivation is:

g'(x) = 4*3*x^3 - 3*8*x^2

g'(x) = 12*x^3 - 24*x^2

We can rewrite this as:

g'(x) = x^2*(12*x - 24)

Now we want to solve:

g'(x) = 0 =  x^2*(12*x - 24)

We have one trivial solution, that is when x = 0.

The other solution will be when the term inside of the parentheses is equal to zero.

Then we need to solve:

12*x - 24 = 0

12*x = 24

x = 24/12 = 2

Then g'(x) is equal to zero for x = 0, and x = 2.

Notice that both of these points are included in the interval [ -2,2 ]

Now we need to look at the second derivative of g(x):

g''(x) = 3*12*x^2 - 2*24*x

g''(x) = 36*x^2 - 48*x

Ok, now we need to evaluate this in the two roots we found before:

if x = 0:

g''(0) = 36*0^2 - 48*0 = 0

g''(0) = 0

Then we do not have a maximum at x = 0, this is a point of inflection.

if x = 2:

g''(2) = 36*(2^2) - 48*2 = 48

then:

g''(2) > 0

This is an absolute minimum.

Now let's look only at the interval [ -2,2 ]

We know that:

g''(0) =  0

g''(2) > 0

Then at some point, we should have g''(x) < 0 in our interval.

We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.

x = -2

g'(-2) = (-2)^2*(12*-2 - 24) = -192

And if we look at the function:

g'(x) = x^2*(12*x - 24)

We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.

So in the interval  [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval  [ -2,2 ], the function g(x) is always decreasing or constant.

Then the absolute maximum of g(x) in the interval  [ -2,2 ]  will be  x = -2

this means that:

g(-2) ≥ g(x) for all x ∈  [ -2,2 ]

Answer:

2. I assume you're working on 1 so I skipped it. 2 would be 16000 yearly. 300 a week would equal 15,000 a year so its less

There are 52 weeks in a year which is how I got that number^

3. With the job he has he gets 21,548.8 per year(11.20 × 37 = 414.4 x 52 = 21,548.8). With the advertised job he would would get 21,150 yearly. 21000 + 5% of 3000 which would be his commission. so stick with his current job

4. (£9.40 x 35 hours = £329) (£329 x 52 weeks = £17,108). (3 extra hours per week x 52 weeks = £156) (£17,108 + £156 = £17,264) That is her total

Answer:

[tex]x=3.33333\\y=-5[/tex]

Answer:

C, D

Step-by-step explanation:

Step 1:  (3^2)^3 * 3^6 / 3^4

Step 2: (9)^3 * 3^6 / 3^4

Step 3: 729 * 3^6 / 3^4

Step 5: 729 * 729 / 3^4

Step 6: 531441 / 3^4

Step 7: 531441 / 81

Step 8: 6561

A = 27

B = 2187

C = 6561

D = 6561

E = 2187

Answer:

(SOMEONE HAS DELETED MY QUESTION SO I AM REPOSTING)

Step-by-step explanation:

Look at the image below!

Hope it helped! :)

Answer:

C. There is no solution.

Step-by-step explanation:

First, multiply what in the parentheses by what's outside of them.

[tex]2(x - 3) = 2x + 5 ↴[/tex]

[tex]2x - 6 = 2x + 5 [/tex]

Then seperate variables from nonvariables. After subtracting [tex]2x[/tex] from the right and left side, the equation becomes this:

[tex] - 6 = 5[/tex]

This equation has no solutions because this is an inequality.

Answer:

yes

Step-by-step explanation:

Answer:

$7.99

Step-by-step explanation:

6.5% of 7.5 = 0.4875

7.5 + 0.4875 = 7.9875 or about 7.99

Answer:

The second one

Answer: The second one i think

Step-by-step explanation:

Answer:

1.5972

11.4688

6.5025

1.81

28.9835

Step-by-step explanation:

yan po hehe

Answer:

40

Step-by-step explanation:

28+12= 40

if my answer helps please mark as brianliest.

Answer:

The measure of the interior angle C is [tex]108^{o}[/tex].

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = [tex]720^{o}[/tex]

Sum of angles in a hexagon = [tex]720^{o}[/tex]

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]

15x + 135 = [tex]720^{o}[/tex]

15x = [tex]720^{o}[/tex] - 135

15x = 585

x = [tex]\frac{585}{15}[/tex]

  = [tex]39^{o}[/tex]

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = [tex]108^{o}[/tex]

The measure of the interior angle C is [tex]108^{o}[/tex].

Answer:

220%

Step-by-step explanation:

Answer:

This is by far the easiest question ever...Can you actually read and put effort into it before looking up all your answers next time? It literally says there are 16 CATS and 14 DOGS in a SHELTER. Its not A, because it did not mention rabbits. Its not C because it did not mention too much about cats, and it said dogs and cats not cats and cats. And its not D because we aint talking about a neighborhood. So..it is B. Easy, peasy, lemon squeezy!

Answer:

Step-by-step explanation:

Transform System A to system B

option c

Transform System B to system C

option b

2x - 4y = -10          ---------A1

-8x + 7y = 22        ----------A2

A1 * 4   --------> 8x - 16y = - 40

A2        --------> -8x + 7y = 22       {Add }

                         -9y       = -18      -------------B2

B2 ÷ (-9)      y = 2

Answer:

Step-by-step explanation:

Line A: Neither

Line B: Neither