1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
1 year ago
5

Find the 75th term of the following6, 10, 14, 18,

Mathematics
1 answer:
enot [183]1 year ago
7 0

Given the sequence:

6, 10, 14, 18,...

We will find the 75th term

The given sequence is an arithmetic sequence

Because there is a constant common differnce

d = 18 - 14 = 14 - 10 = 10 - 6 = 4

The first term = a = 6

The general formula of the arithmetic sequence is as follows:

a_n=a+d(n-1)

Where: n is the nth term

To find the 75th term, substitute with n = 75 and a = 6, d = 4

a_{75}=6+4\cdot(75-1)=302

So, the answer will be the 75th term = 302

You might be interested in
How do I write an equation with 5he restrictions x does not equal 14, x does not equal 2 and x does not equal 0???
Oxana [17]
Diffusion- The process by which molecules spread themselves out evenly in a given area. This happens by natural molecular movement.How do particles move across membranes?- by osmosis, active transport, simple diffusion and facilitated diffusionSimple/Passive Diffusion<span>- No energy
- Happens across cell membrane
- From high to low concentration ("down the concentration gradient")</span>Controlled/Facilitated Diffusion- diffusion across a membrane through specific protein channels in the membrane, with no energy costOsmosis- Simple diffusion of waterActive Transport<span>- Requires energy
- Happens only at specific channels
- From low to high concentration ("against the concentration gradient")</span>Concentration Gradient- difference in concentration of a substance between one area and anotherGradient- Different or unevenSemi-Permeability<span>- a type of biological membrane that will allow certain molecules or ions to pass through it by diffusion 
(- maintain a balance of water in the cell
- ability to differentiate materials that are needed and those that are not needed in the cell, keeping the cell healthy
- ability to control the amount and kind of substances through the cell membranes )</span>What must we understand? (homeostasis- cells)- Cells constantly change concentrations to their benefit and to maintain stable internal conditions.Endocytosis- the movement of bulk liquids or solids into a cell, by the indentation of the plasma membrane to form vesicles containing the substance; active process requiring ATPEndo--means 'inside'Exocytosis- the movement of bulk liquids or solids out of a cell by fusion of vesicles containing the substance with the plasma membrane; active process requiring ATPExo--means 'outside'How many types of Endocytosis are there?- 3 types of endocytosis-- phagocytosis, pinocytosis and receptor mediated endocytosisPhagocytosis- In endocytosis, if the substances being taken in are particles, such as bacteria, then process is called phagocytosisPinocytosis- In endocytosis, if the substances are in solution, such as the end products of digestion, then the process is called pinocytosisReceptor-Mediated Endocytosis- is an endocytotic mechanism in which specific molecules are ingested into the cell.Water Potential- the tendency of water molecules to move from an area of higher concentration to an area of lower concentrationPlasmolysis- Shrinkage of protoplasm away from the cell wall of a plant or bacterium due to water loss from osmosis, therefore resulting in gaps between the cell wall and cell membrane.Protoplasm- the fluid living content of the cell-- composed mainly of nucleic acids, proteins, lipids, carbohydratesTypes of Solutions<span>- hypotonic
- isotonic
- hypertonic</span>Hypotonic<span>- concentration of dissolved substances is greater INSIDE the cell
- through osmosis, H2O diffuses INTO the cell
- hippos get fat, so will the cell 
[a less concentrated solution (one with a more negative water potential) than the cell solution]</span>Isotonic<span>- concentration of dissolved substances is EQUAL INSIDE and OUTSIDE the cell
- H2O diffuses INTO the cell and OUT of the cell at the same rate</span>Hypertonic<span>- concentration of dissolved substances is greater OUTSIDE the cell
- through osmosis, H2O diffuses OUT of the cell
- this cell will shrink
[a more concentrated solution (one with a less negative water potential) than the cell solution]</span>Gene- a length of DNA at a specific location on a chromosome that controls a specific heritable characterisicStandard Deviation (SD)<span>- measures the spread of the data in a set by describing how far the numbers are from the mean
(- a valuable method of analysis
- it takes into account all values & it's not affected by extreme values
- gives you a hint on how accurate the data is- if the method is good- if you can draw a valid conclusion)</span>Equation for Standard Deviationn= # of data pointsHow do you find the mean?- in a data set, add all the values together then divide by the total number of values in the setHigh SD- the data is widely spread (less reliable)Low SD- the data is clustered closely around the mean (more reliable)Cell Membrane- controls what comes in and out of the cellCell Wall- composed of cellulose and other carbohydrates, giving plant cells further support and a more rigid structure than animal cellsNucleus<span>- the brain and control center of the cell:
contains DNA
controls all cellular functions in the cell</span>Nucleolus- small body found in the nucleus of eukaryotic cells where ribosomal RNA is synthesisedCytoskeleton<span>- in the structural support; </span>
3 0
3 years ago
Please help me with this. Use the combination method of substitution to solve. Please show and explain work. Thanks.
Artemon [7]

Answer:

x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)

Step-by-step explanation:

The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.

Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>

171x = 87x + 2129

Step 2: Subtract 87 x on both sides

84x = 2129

Step 3: Divide both sides by 84 to get x

x = 2129/84 or 25.35 (rounded)

To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:

y = 171 (25.35)

y = 121353/28 or 4334.04 (rounded)

You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.

6 0
3 years ago
As her senior project, Julie has decided to raise money for a charity by hosting a Spaghetti Dinner. In order to have the dinner
natulia [17]

Answer:

The algebraic expression is 6x = 100

3 0
3 years ago
In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour
goldenfox [79]
<span>Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
 so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet
 

26/35 (that is a fraction) x100 =</span><span>74.285714 
</span>so round your answer
6 0
3 years ago
Plz help loves i need
Ratling [72]

Answer:

It's the letter B :)

5 0
2 years ago
Read 2 more answers
Other questions:
  • A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue paint. To make this shade, Shannon mixed 12 qu
    6·1 answer
  • The 10 random numbers between 1 and 80 are​
    8·1 answer
  • When I have a parabola, how do I find the increasing and decreasing. My friend told me you look at the x values, but I thought i
    10·1 answer
  • What part of an hour passes between 3:16 P.M. and 3:34 P.M.?
    9·1 answer
  • Solve the inequality 4(a+6) &gt;= 5(a+3)
    11·1 answer
  • What will be the remainder when 6x ^5+ 4x^4 -27x^
    12·1 answer
  • Two thirds of the fruit in the basket are apples. One fourth of the apples are green apples. What fraction of the fruit in the b
    14·2 answers
  • What is the surface area of the cylinder with height 5 mi and radius 2 mi? Round your
    10·1 answer
  • 4 ounces of Doritos for $1.20 or 16 ounces of potato chips for $4.40
    6·1 answer
  • The Foley Products Company has designed a new blend of concrete they believe will be twice as strong as their current high quali
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!