Find the domain of the function. Write the answer in interval notation.

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

Answer:

s=650

Step-by-step explanation:

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]

s=20/2(2x4+19x3)

s=20/2(8+57)

s=20/2x65

s=10x65

s=650

Answer:

s=650

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]  

s=20/2(2x4+19x3)  

s=20/2(8+57)  

s=20/2x65  

s=10x65  

s=650

Answer:

[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]

Step-by-step explanation:

Hi there!

[tex]y = 6x^2 - 17x - 3[/tex]

Factor by grouping:

[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]

Let y=0. Apply the zero product property:

[tex]0 = (6x+1)(x- 3)[/tex]

[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]

AND

[tex]x-3=0\\x=3[/tex]

I hope this helps!

Answer:

[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]

Answer: acceleration = 1 m/s²

Concept:

Here, we need to know how to calculate the acceleration of a body.

a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)

v = velocity

t = time

unit = m/s²

Solve:

Given information

v₁ = 10 m/s

v₂ = 15 m/s

Δt = 5 seconds

Given expression

a = (v₂ - v₁) / (t₂ - t₁)

Substitute values into the expression

a = (15 - 10) / 5

Simplify values in parentheses

a = 5 / 5

Simplify by division

[tex]\boxed{a=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

83

Step-by-step explanation:

y = x^2 +2

Let x = -9

y = (-9)^2 +2

   = 81+2

   = 83

Answer:

83

Step-by-step explanation:

(-9)(-9) = 81

81+2 = 83

Answer:

13 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]20+.1x=.4\left(40+x\right)[/tex]

x=40/3 = 13 [tex]\frac{1}{3}[/tex]

Answer:

19

Step-by-step explanation:

(6 + h^2 - j) ÷ 2

Plug in:

(6 + h^2 - j) ÷ 2

(6 + 6^2 - 4) ÷ 2

(6 + 36 - 4) ÷ 2

   (42 - 4) ÷ 2

      38 ÷ 2

          19

Hope this helped.

Answer:

19

Step-by-step explanation:

( 6 + h² - j ) ÷ 2

h = 6 and j = 4

( 6 + 6² - 4 ) ÷ 2

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division (left to right)

Addition and Subtraction (left to right)

First do operations inside of the parenthesis

( 6 + 6² - 4 ) ÷ 2

Exponents come first

(6 + 36 - 4) ÷ 2

Then do addition and subtraction going left to right

(6 + 36 - 4) ÷ 2

Add 6 and 36

( 42 - 4 ) ÷ 2

Subtract 42 and 4

38 ÷ 2

Finally do the division

19

And we are done!

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

(33.85307637623) = 33.9m

the answer is option d

Answer:

m/0.1

Step-by-step explanation:

--

we want to find it

-----

10%*x=m

OF means multiply

IT is any variable

IS is equal

10%*x=m

0.1*x=m

x=m/0.1 IN THE ANSWER DO NOT INCLUDE x

Answer:

volume=pi times r^2 height÷3.

r is the radius, or in this case 4yd. height is 10yd. pi is 3.14

Here are the steps:

3.14r^2 height÷3

3.14×4^2 10÷3

=167.55

final answer rounded to the nearest tenth: 167.6

I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.

Answer:

32 female - 23 right-handed || 9 left-handed

22 male - 18 right handed || 4 left handed

Step-by-step explanation:

I find it easiest to write all the information out and fill the gaps.

From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.

We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.

If 18 of the right-handed employees are male, then 23 of them are female, and  4 are left-handed males.

If 23 of the female employees are right-handed, then 9 female employees are left-handed.

It's quite simple if you write everything out :D

Answer:

100 degrees

Step-by-step explanation:

We can start by finding angle y, which is supplementary to 160.

180-160=20

angle y = 20 degrees.

With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:

angle w = angle y + 80

angle w = 20+80

angle w = 100.

The final answer is 100 degrees.

I hope this helped! :D

Answer:

Hello,

w=100

Step-by-step explanation:

y=180-160 (angles supplementaries)

y=20

w is a externel angle of the triangle is equal to the sum of non adjacents angles:

w=80+20=100

Answer:

829.6

Step-by-step explanation:

Volume = sh

= (5+12) x 6.1 / 2 x 16

= 12 x 6.1/2 x 16

= 17 x 6.1 x 8

= 829.6 mi^3

Answered by Gauthmath

Answer:

MO= 5x +3

NO= 6x

MN= ( collect light terms) 5x+ 6x = 11x +3

ans= 11x+3

If points {M,N,O} are collinear, and N is between M and O, then this would allow us to use the segment addition postulate like this:

MO = MN + NO

MN = MO - NO

MN = (5x+3) - (6x)

MN = (5x-6x) + 3

MN = -x + 3

Answer:  -x+3

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Answer:

5x+8

Step-by-step explanation:

First find the product of 5 and a number

5x

Then sum it with 8

5x+8

Answer:

The domain is all real numbers except x=0

Step-by-step explanation:

The domain is the values that x can take

x can be all real number except when the denominator is zero

x cannot be 0

The domain is all real numbers except x=0

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.

There are 12 oxygen atoms, when the number of sulfur atom is 6.

From the diagram, we have:

[tex]S = 1[/tex]

[tex]O_x = 2[/tex]

So, the ratio is:

[tex]S : O_x = 1 : 2[/tex]

When there are 6 sulfur atoms, the equation becomes

[tex]6 : O_x = 1 : 2[/tex]

Express as a fraction

[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]

Multiply both sides by 6

[tex]O_x = 2 \times 6[/tex]

[tex]O_x =12[/tex]

Hence, there are 12 oxygen atoms

Read more about equivalent ratios at:

https://brainly.com/question/18230617

Answer:

23.3 miles

Step-by-step explanation:

- convert 1hour = 60minutes

14 miles per 1 hour , is the same as

14 miles per 60 minutes

-write an equivalent fraction to keep the proportion

14 miles/60 minutes = ? miles / 100 minutes

-cross multiply , and divide by 60

? = (14*100) / 60 = 23. 3333333...

-round to 1 decimal place

23.3 miles

The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.

The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.

Working together, the pumps can fill one tank at a rate of

(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour

Then the time it takes both pumps to fill one tank is

(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes

Answer:

obviously sus island

Step-by-step explanation:

Option C

Corresponding angles along parrellel lines are conguerent.

Answered by Gauthmath must click thanks and mark brainliest

Answer:

liquidity

Step-by-step explanation:

when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.

which can actually lead to insolvency.

According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.

Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.

Since he finished with less than 400 points, we can express this as X + G - 27 < 400.

According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.

Learn more about inequality in: https://brainly.com/question/20383699
#SPJ2

Answer:

Step-by-step explanation:

Degrees   Radians   tangent

60°      π/3         √3

45°            π/4                     1

30°           π/6                 1/√3

0°            0                   0