A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment? 1. Blue, Red 2. Blue 3. Red, Blue, Black 4. Red, Black

Answer:

B=19

C=42

D=119

Step-by-step explanation:

First, fine the value of x, than use that in each angle to find the measurement.

All angles together in the triangle equal 180

Set your formula up as

180=(x+2)+(3x-9)+7x

180=x+3x+7x+2-9

180-2+9=11x

187=11x

187/11=x

17=x

Angle B

B=x+2

B=17+2

B=19

Angle C

C=3x-9

C=3*17-9

C=42

Angle D

D=7x

D=7*17

D=119

Now add all 3 tougher to check your work

19+42+119 = 180

Answer:

kilo =1*10^3 grams

nano=one millionth

micro=0.01 litres

centi=0.0000000001 meters

Step-by-step explanation:

Answer:

634 steak sandwiches.

Step-by-step explanation:

Let's say X is the number of hot dogs and Y is the number of steak sandwiches.

2.95x + 9,95y = 7343.75

x + y = 985

y = 985 - x

2.95x + 9.95(985-x) = 7343.75

2.95x + 9800.75 - 9.95x = 7343.75

7x = 2457

x = 351

y = 985 - 351

y = 634

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.

Answer:

The half-life for the zombie population is of 8 years.

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]N(t) = N(0)(1-r)^t[/tex]

In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.

In this question:

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

Thus N(0) = 300, that is, initial population of 300.

What is the half-life for the zombie population?

This is t for which N(t) = 0.5*300 = 150. So

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]

[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]

[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]

[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]

Equal exponents, so:

[tex]\frac{t}{8} = 1[/tex]

[tex]t = 8[/tex]

The half-life for the zombie population is of 8 years.

Answer:

450 foe

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence, [tex]tan(z)=\frac{75}{79}[/tex]

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

Answer:

509

Step-by-step explanation:

There are 4 prime factors of 6108

6108 ÷ 2 = 3054

3054 ÷ 2 = 1527

1527 ÷ 3 = 509

509 ÷ 509 = 1

Answer:

[tex](8 \div 6) + 3[/tex]

Step-by-step explanation:

Required

The equivalent expression

To do this, we take it one step at a time.

First, the quotient of 8 divided by 6;

This means 8 divided by 6: [tex](8 \div 6)[/tex]

3 added to it;

The expression becomes: [tex](8 \div 6) + 3[/tex]

Step-by-step explanation:

perimeter o rectangle is 16

Answer:

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(8+4)

=2*12

=24 ft

Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴

Given tha expression :

Number of 5's = 4

The number of 5's can be used as the power of the base, since the base is common.

Base = 5

Hence,

5 × 5 × 5 × 5 = 5⁴

Learn more : https://brainly.com/question/25629067

Answer:

12

Step-by-step explanation:

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Both Angles have the same value, as they are opposite angels.

Set your formula up as

5x+20=3x+60

5x=3x+60-20

2x=40

x=40/2

x=20

Answer:

A?

Step-by-step explanation:

So sorry if im wrong

Answer:

66.9 ft from the ground

use this if you have a problem like this again

https://www.calculator.net/triangle-calculator.html

Answer:

Step-by-step explanation:

x/y=y/x

4.5/3=24/y

do cross multiplication

24*3=y*4.5

72=4.5y

72/4.5=y

16=y

Answer:

b

Step-by-step explanation:

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

Answer: Choice B

Each time we're adding 122 to each term to get the next term

This goes on forever because of the three dots, hence the set is infinitely large.

We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.

Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

Answer: The answer would be y = x + 8

Step-by-step explanation:

Answer: D = 4, 4.5

E = 5, 4.75

H = 8, 5.5

I = 9, 5.75

Step-by-step explanation:Gang

The coordinates of the corresponding points are given below.

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.

AB is separated into equal sections in the picture. Point A's coordinates are (2, 4), and Point Bare's coordinates are (10,6).

There are eight sections of line AB. Then the rise in abscissa after each segment is calculated as,

⇒ (10 - 2) / 8

⇒ 8 / 8

⇒ 1

Then the rise in ordinate after each segment is calculated as,

⇒ (6 - 4) / 8

⇒ 2 / 8

⇒ 0.25

Then the coordinate of the points is written as,

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ7

Answer: [tex]\dfrac{2}{65}[/tex]

Step-by-step explanation:

Given

There is a six letter word with no repeated letters

Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]

For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.

First place has 5 choices to fill and the last place left with 4 choices to fill

Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways

So, the required probability is given by

[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]

Answer:

1,264

Step-by-step explanation:

a = 1000(1.06)^4

a = 1,262.47696

1,264