You roll two number cubes
Let event A = You roll an even number on the first cube.
Let event B = You roll a 2 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because both cubes have six sides.
O B. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
O C. Independent, because they have no outcomes in common.
D. Dependent, because 2 is an even number.

This question is about Polynomial Functions. The reading below is done using the attached graph.

The function is increasing over the following intervals:

b) Yes, the points on the x-axis that has local maxima are:

Point -2, and Point 6.

c) The leading coefficient is negative. The sign is given as:

f(x) → -∞

as x → + ∞

d) The possible degree of the function is:

06- (Option B).

Learn more about Polynomial Functions at:
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Answer:

Step-by-step explanation:

Working with the top equation, subtract 2x from both sides.

y = 9 - 2x

Put this value for y in the second equation

3x - 4(9 - 2x) = 8                 Remove the brackets

3x -36 + 8x = 8                   Add 36 to both sides

3x + 8x = 8 + 36                 Combine

11x = 44                               Divide by 11

x = 4

2x + y = 9

2*4 + y = 9                          

8 + y = 9                              Subtract 8 from both sides

y = 9-8

y = 1

11.9 - last one

Step-by-step explanation:

Adjacent + hypotenuse = Cos / Cah

Cos32 = x/14

x14

11.87... = x

So, 11.9 to nearest tenth

Hope this helps!

Answer:

18 I believe

Step-by-step explanation:

when you do 2.70 divided by 15% you get 18 and if you do 18 times 15% you get 2.70 so I think it is 18

Answer:

y = -3x +15

Step-by-step explanation:

(2,9) (4,3)

slope is -6/2 or -3

use slope intercept form to solve for y-intercept

y = mx + b

9 = (-3)(2) + b

9 = -6 + b

15 = b

y = -3x + 15

Answer:

Step-by-step explanation:

By proportion it will be (5/3) * 12

= 60/3

= 20 days.

Answer:

432 ft.

Step-by-step explanation:

Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)

Answer:

44462, 1462

Step-by-step explanation:

multiply 43000 by 1.034% and get the answers

Increase:-

[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]

[tex]\\ \rm\Rrightarrow 1462\$[/tex]

New price

[tex]\\ \rm\Rrightarrow 43000+1462[/tex]

[tex]\\ \rm\Rrightarrow 44462\$[/tex]

Answer:

~Male Y/n here~ I believe your y-intercept would be D. -5.

(Hope this helps!)

Answer:

I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D

Answer:

Step-by-step explanation:

12g - 17 ≥ 17

12g ≥ 34

g ≥ [tex]\frac{34}{12}[/tex]

g ≥ [tex]\frac{17}{6}[/tex]

Answer:

12

Step-by-step explanation:

Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

Answer:

771 is the absolute value of -771.

Step-by-step explanation:

The absolute value is the distance of that number from 0. Therefore, negative or not, the number shown will always be the positive number that it is.

Examples:

|-8| = 8.

|2|=2

|-9912|=9912

|236|=236

Continued explanation:

Because the absolute value is the distance of that number from zero, the value will always be positive. And then the distance is going to be the same number.

I hope this helps!

-No one

By taking the integral of the difference between the two given lines, we will see that R = 0.75.

Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]

Then we just need to compute:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx[/tex]

Solving that we will get:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\[/tex]

[tex]R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75[/tex]

So the area of region R is 0.75 square units.

If you want to learn more about integrals, you can read:

https://brainly.com/question/14502499

1. cos B= a/x

x= 11/cos 37°

x= 13.77

2. tan A= a/x

x= 4/tan 41°

x= 4.60

3. sin B = x/c

x= sin 37° × 10.3

x= 6.20

4. tan A= a/b

tan A= 4/13

A= tan-1(0.31)

A= 17°6'10"

5. cos A= b/c

cos A= 12/13

A= cos -¹(0.92)

A= 22°37'12"

6. tan B= a/b

tan B= 3/3

tan B= 1

B= tan‐¹(1)

B= 45°

Answer:

∆QRS is a right triangle

Step-by-step explanation:

correct similarity statement is RST

Answer:

I think its B

Step-by-step explanation:

Edge 2022

Answer:

Step-by-step explanation:

Ratio of cakes baked by Calvin and Susie = 3 : 7

Cakes baked by Calvin = 3x

Cakes baked by Susie = 7x

Cakes baked by Calvin = Cakes baked by Susie - 60

3x = 7x - 60

7x - 60 = 3x

7x        = 3x  + 60

7x - 3x = 60

      4x  = 60

        x = 60/4

x = 15

Cakes baked by Calvin = 3*15 = 45

Cakes baked by Susie = 7 *15 = 105

Total cakes baked = 45 + 105 = 150

They both baked 150 cakes altogether.

Answer:

100 mm

Step-by-step explanation:

this right awnser

Answer:

Formula for area of circle (since two semi circles form a full circle);

a = π[tex]r^{2}[/tex]

First, figure out our radius,

D/2 = Radius

10/2 = 5 is our radius.

Plug in your values:

a = π[tex]r^{2}[/tex]

a = 3.14(5^5)

a = 3.14(25)

a = 78.5 is the area of the two semi circles.

Now the square;

A = L x W

A = 10(10)

A = 100.

Add your areas;

78.5 + 100

= 178.5 mm2

Using the given function, it is found that:

a) 20 insects were discovered.

b) The population after 5 years will be of 417 insects.

As stated in the exercise, it is given by:

[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]

Item a:

[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]

20 insects were discovered.

Item b:

5 years = 60 months, hence:

[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]

The population after 5 years will be of 417 insects.

More can be learned about functions at https://brainly.com/question/25537936

Answer: [tex]\frac{3}{2}x+y=-\frac{17}{2}[/tex]

Step-by-step explanation:

The standard form of a linear equation is [tex]ax+by=c[/tex]

So we need to solve for c

Start by simplifying everything in the equation

[tex]y+7=-\frac{3}{2} (x+1)[/tex]

Use the Distributive Property

[tex]y+7=-\frac{3}{2}x-\frac{3}{2}[/tex]

Now subtract 7 from both sides

[tex]y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}[/tex]

Add [tex]\frac{3}{2} x[/tex] to both sides

[tex]y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}[/tex]

NOTE: [tex]-\frac{17}{2}[/tex] simplifies to -8.5 if you find that more desirable

Answer:

4x + 9 ≥ 0

Step-by-step explanation:

The inside of the square root, the radicand, cannot be negative.

It can only be zero or positive.

Zero or positive is also described as being greater than or equal to 0.

Set the radicand to be greater than or equal to zero.

4x + 9 ≥ 0

Answer:

4x+9>=0

Step-by-step explanation:

The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.

Answer:

The list od prime number is a quadratic sequence, each time going up by n + 2. for example, 1, 4, 9, 16, 25. they are going up by 3, then + 2 and add 2 every step. The sequence is always going up by an odd number. a negative number take away a negative number always gives you a positive number, likewise, adding does too. Therefore, you can not get both of them to fit into the sequence of increasing odd numbers.

Answer:

the answer should be 21 if it's there if I'm wrong let me know

Explanation:

A direct proportion is of the form y = kx

To find k, pick any row to divide the y over x value

No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.

Therefore, we go from y = kx to y = 2x

14 * 12 = 168

(12*8) / 2 = 48

216 cm ^2

Answer:

1,344 cm counting the side shape or 168 cm counting only the rectangle.

Step-by-step explanation:

14 cm x 12 cm = 168cm

168 x 8 = 1,344 cm

The number of social media post of Noami has a greater spread when compared to that of Amir.

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

The inter quartile range is the difference between the third quartile and the first quartile of a data set.

IQR = Q3 - Q1

The IQR of Amir's social media posts: 7

The IQR of  Naomi's social media posts = 10

To learn more about range, please check: https://brainly.com/question/12372689

Answer:

Naomi"s data set has more spread since her range is 10 and her IQR is 3.

Step-by-step explanation:

Range                   IQR

12,14,15,15,16,19    16-14=2

0,2,2,4,5,10           5-2=3

19-12=7  10-0=10

Answer:

The discount is 22.50 and the final price $52.50

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 75 × 30/100

Discount = 75 x 0.3

You save = $22.50

Final Price = Original Price - Discount

Final Price = 75 - 22.5

Final Price = $52.50