Simplify the rational Expression
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Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

Answer:

A. parallel because their slopes are equal.

Step-by-step explanation:

because parallel means matching

meaning they have the same slope

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Answer:

Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $

Round your answer to the nearest cent if necessary.

per cookieplanation:

Answer:

am not really sute bt its ..no

Answer:

(3) Median

Step-by-step explanation:

I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.

Hope it helps and is correct!

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

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]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Answer:

true

Step-by-step explanation:

Answer:

h=10.2

Step-by-step explanation:

add 34 on both sides so you would have 5h =51 then you divide 51 by 5 so you are left with h = 10.2! have a great day!!

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

Answer:

(-1,-1) works (5,5) does not

Step-by-step explanation:

y<1/4x+1[tex]\geq[/tex]3x+2

-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2

-1<-1/4+1[tex]\geq[/tex]-3+2

-1<.75[tex]\geq[/tex]-1

Answer:

[tex]Scale = 1.5[/tex]

Step-by-step explanation:

Given

[tex]Printer = (4.5',3')[/tex]

[tex]Keogh = (3',2')[/tex]

Required

Determine the scale

This is calculated as:

[tex]Scale = \frac{Original}{Actual}[/tex]

[tex]Scale = \frac{(4.5,3)}{(3,2)}[/tex]

Factorize the numerator

[tex]Scale = \frac{1.5 * (3,2)}{(3,2)}[/tex]

Scale = \frac{1.5 * (3,2)}{(3,2)}[tex]Scale = 1.5 * \frac{(3,2)}{(3,2)}[/tex]

[tex]Scale = 1.5 * 1[/tex]

[tex]Scale = 1.5[/tex]

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

Answer:

5d

Step-by-step explanation:

Every member pays 5 dollars. So the number will multiply by 5 everytime a member pays.

Answer:

A.35

Step-by-step explanation:

trust bro

Answer:D 25

Step-by-step explanation:

Answer:

[tex]Solution,\\The~all~sides~of~rhombus~are~equal.\\So, ~DM = DK\\or, 5y+2=3y+6\\or, 5y-3y=6-2\\or, 2y=4\\or, y=2\\We~have, DM=KL=5y+2 = 5(2)+2=12\\[/tex]

∴[tex]KL = 12[/tex]

Answer:

(1000,   18000) is the answer

Step-by-step explanation:

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

Answer:

5v+3. I hope I helped :'D

Steps for answer!

1. Remove parentheses.

7v+5-2v-2

2. Collect like terms.

(7v-2v)+(5-2)

3. Simplify.

5v+3

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

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