Three gears are arranged as shown in the figure. Find angle θ.

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

Answer:

x=15

Angle (5x+6): 81

Angle (8x-39): 81

Step-by-step explanation:

5x+6=8x-39

add 39 to both sides

5x+45=8x

-5x on both sides

45=3x

divide both sides by 3

x=15

Answer:

I don't know how to do it the subject

Answer:

(54, 27)

Step-by-step explanation:

2y will represent the larger number.

2y + y = 81

3y = 81

y = 27

x = 2y

x = 2(27)

x = 54

x = 54

y = 27

(54, 27)

Answer:

Cannot be determined with the information given in and of itself.

Step-by-step explanation:

You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.

I would appreciate Brainliest, but no worries.

Answer:

0

Step-by-step explanation:

if you have 2 and you take one away you have 1,

you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

6.5x - 8.25x = 9 - 37

-1.75x = -28

x = 16

The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.

Total amount of money saved = amount the person has + (amount the person saves per week x number of weeks)

Total amount of money Jack saves = $37 + ($6.50 x w)

Total amount of money Diane saves = $9 + ($8.25 x w)

When Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.

$37 + $6.50w = $9 + $8.25w

combine similar terms

$37 - $9 = $8.25w - $6.50

$28 = 1.75w

Divide both sides of the equation by 1.75

w = 16 weeks.

To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114

Answer:

36.84

Step-by-step explanation:

just add them it is all really just basic addition nothing more to it

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.

24 + 104 = 128

Step-by-step explanation:

First, I split the Square from the Traingle

Second, I did base times height which equaled  (104)

Third, I found the area of the triangle by base times height divided by 2.(24)

Lastly, I added the figures up which equaled 128

Answer:

2(x+4) - 8 = 10

Step-by-step explanation:

the sum of x and 4: x+4

twice the sum of x and 4: 2(x+4)

eight fewer than twice the sum of x and 4: 2(x+4) - 8

eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

Answer:

Its A

Step-by-step explanation:

Standard equation: y=mx+b

x+y=0

-x    -x

y=-x+0

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

Answer:

42°

Step-by-step explanation:

According to Exterior Angle Theorem,

an exterior angle of a ∆ is equal to the sum of the opposite interior angles.

So,

h+96°=138°

h=138°-96°

h=42°

Answer:

all but the middle

Step-by-step explanation:

did this on a test an got 100%

Answer:

You have negetive points

Step-by-step explanation:

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Mean of 4 minutes

This means that [tex]m = 4, \mu = \frac{1}{4} = 0.25[/tex]

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)[/tex]

In which

[tex]P(X \leq 132) = 1 - e^{-0.25*132} = 1[/tex]

[tex]P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469[/tex]

[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531[/tex]

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Answer:

3/4

Step-by-step explanation:

3/4 2/3

find the lcm of the denominators

which is 12

and divide

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

Answer:

4 x’s for 1/4

2 x’s for 2/4

1 x for 3/4

2 x’s for 1

Step-by-step explanation:

Answer:

128 = +

Step-by-step explanation:

56 + 72  = 128 (+)