3
Tyler places 3 red marbles, 2 white
marbles, 4 green marbles, and 1 blue
marble in a box. 2 marbles are drawn at
random without replacement. What is the
probability of drawing a white marble first
and a red marble second?

A statement that is true include the following: B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function f(x) over the interval [0, 1]:

a = 0; f(a) = 1

b = 1; f(b) = 6

By substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (6 - 1)/(1 - 0)

Average rate of change = 5/1

Average rate of change = 5

For g(x), we have the following:

Average rate of change = (216 - 0)/(1 - 0)

Average rate of change = 216/1

Average rate of change = 216

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Answer:

the answer is B

Step-by-step explanation:

6w + 5 - 3w + 7

= 6w - 3w + 5 + 7

= 3w + 5 + 7

= 3 w + 5 + 7

= 3w + 12

Answer:

11 5/8 + 9 1/2= 21 1/8

3/4 - 2/5= 7/20

4 5/6 - 2 1/2= 2 1/3

Step-by-step explanation:

So yea yw babe

Answer:

Step-by-step explanation:

Problem 1

Answer: AD = 9

-------------------------------------------------

Work Shown:

Focus on triangle ADB, which is the smaller triangle on the left.

We have these side lengths

AD = unknown leg

BD = 12 = known leg

AB = 15 = known hypotenuse

Let's apply the Pythagorean Theorem to find the unknown leg

a^2 + b^2 = c^2

(AD)^2 + (BD)^2 = (AB)^2

(AD)^2 + (12)^2 = (15)^2

(AD)^2 + 144 = 225

(AD)^2 = 225-144

(AD)^2 = 81

AD = sqrt(81)

AD = 9

Side AD is 9 units long.

========================================================

Problem 2

Answer: AC = 25

-------------------------------------------------

Work Shown:

AC = AD + DC .... segment addition postulate

AC = 9 + 16 ..... substitution; refer to problem 1

AC = 25

========================================================

Problem 3

Answer: Triangle ABC is a right triangle.

-------------------------------------------------

Work Shown:

The Pythagorean Theorem Converse says "if a^2+b^2 = c^2 is a true equation, then the triangle with sides a,b,c is a right triangle". Keep in mind that c is always the longest side (hypotenuse). The order of 'a' and b doesn't matter. Convention has us usually do [tex]a \le b[/tex] but again the order isn't important.

We have these three sides

Plug those values into the equation below. Simplify each side.

a^2+b^2 = c^2

15^2 + 20^2 = 25^2

225 + 400 = 625

625 = 625

We get a true equation. Therefore, triangle ABC is a right triangle.

Answer:

Step-by-step explanation:

Pythagorean = c^2 =a^2 + b^2

we are given c and a   so solve for b

c^-a^2 = b^2

15^2- 12^ = b^2

81= b^2

[tex]\sqrt{81}[/tex]=b

9=b

AD=b

AC = AD + 16

AC =9 + 16 =25

if it's a right triangle then Pythagorean will work with the sides to make 25

AC^2 = 15^2+20^2

AC = [tex]\sqrt{625}[/tex]

AC = 25

Answer:

The answer C

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

its just 4 x x so you just times 2.5 by 4

Answer:

you can put 34 or 3 your choice!

Step-by-step explanation:

Ok so how you would find this out is first you put 4(x)>10

and you'll swap out the x for each number choice and 2.5 is the one that fits...

4(34)>10 = 136>10 yes

4(2)>10 = 8>10 well no bc 8 is less than 10

4(2.5)>10 = 10 = 10 not 10>10 so no

4(3)>10 = 12>10 yes

ALWAYS REMEMBER WHEN DOING THIS THE "ALLIGATOR" (WHICH IS THIS THINGY >) ALWAYS OPENS ITS MOUTH TO THE BIGGER NUMBERS

ex: 10>5 and 5<10

Answer:

3n-13

i had a test today and this question was on it and i got it right so i know it is right. hope this helps u

Answer:

7n - 13

Step-by-step explanation:

4n + 3(n - 5) + 2

4n + 3n - 15 + 2

7n - 13

Answer:

Form: Standard form

Key parts: 2 is the slope/roc, x is the variable, and 1 is the y intercept/b term

Step-by-step explanation:

Answer:

around 49 or a bit over 50 cents

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

300 divided by 100, gives you the 1% (which in this case is 3)

3 x 80 (markup) gives you 240

300- 240(markup) gives you 60

Answer:

20% drop from previous day

Step-by-step explanation:

30-24 = 6

6 / 30 = 1/5 = 20%

Answer:

The Formula F=1.8C+32 gives the temperature in degrees Celsius (C). There is one temperature for which a number of degrees Fahrenheit is equal to the number of degrees Celsius.

Step-by-step explanation:

20ºC = 68ºF i think this is equation.;-;

Answer:

Step-by-step explanation:

Take any two points and find the slope.

(3,7) ; (9,5)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{5-7}{9-3}\\\\=\frac{-2}{6}\\\\=\frac{-1}{3}[/tex]

Equation: y -y1 = m(x -x1)

[tex]y - 7 = \frac{-1}{3}(x - 3)\\\\y -7 =\frac{-1}{3}x -3*\frac{-1}{3}\\\\y -7=\frac{-1}{3}x+1\\\\y = \frac{-1}{3}x+1+7\\\\y=\frac{-1}{3}x+8[/tex]

Answer:

Sales tax: 3.5$

Total Price: 73.5$

Step-by-step explanation:

the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 70 times .05= 3.5. Therefore the tax is 3.5$. hope this helps!!

Answer:

1. 100-96=. 4

2.4b

3.b=12

4. 12 boxes

Step-by-step explanation:

Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

12/24

and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

So you must take out at least 6 socks for the above to happen.

the number of socks  Albert Enstein has to take out to be sure that he has at least one pair of black socks is 38.

In order to determine the number of socks  Albert Enstein has to take out to be sure that he has at least one pair of black socks, we would have to add the number of blue socks with the number of red socks.

Number of socks to be taken out = number of blue socks + number of red socks

21 + 17 = 38 socks

To learn more about addition, please check: https://brainly.com/question/349488

Answer:

1/4

Step-by-step explanation:

Answer:

5 + n - 5  = 10 - 10

Step-by-step explanation:

if you do 5-5 that would equal zero, and if you do 10-10 it would equal 0 also, so all you would be left with is 0 + n= 0 and that is not equal to 5 + n = 10

Answer:

5 + n - 5  = 10 - 10

Step-by-step explanation:

Answer:

5 friends

Step-by-step explanation:

To find out how many friends she gave cany, you must divide the number of candy total by how many pieces each friend got.

Therefore-

30 divided by 6 = 5

The answer is 5

Answer: 5 friends got a piece of candy because 30 divided by 6 equals 5

Step-by-step explanation:

Answer: = 1.07 × 107

(scientific notation)

= 1.07e7

(scientific e notation)

Step-by-step explanation:

Answer:

(-1.5,3.5)

Step-by-step explanation:

Starting from the Origin move 1.5 left equals -1.5 and 5 units up is 3.5 so, my answer is (-1.5,3.5).

Answer:0.5

Step-by-step explanation:

Answer: 7

Step-by-step explanation: