In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer 1

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64


Related Questions

Can someone please help me with math.

Answers

Answer:

Vertical Angles

Step-by-step explanation:

Hope this helps

What is the measure of the unknown angle?

Answers

Answer:

55 degrees is the measure of the unknown angle

The population of a swarm of killer bees multiplies

10 fold in 50 days. Determine the correct

expression to calculate the number of bees after t

days if the initial swarm had 1000 bees.

Answers

Answer:

The correct  expression to calculate the number of bees after t  days if the initial swarm had 1000 bees is [tex]P = 1000 *e^{0.2*t}[/tex]

Step-by-step explanation:

Given -

The population of a swarm of killer bees increases by 10 times in 50 days

The rate of increase of population is [tex]r = \frac{10}{50} = 0.2[/tex] per day

As we now the equation of population projection is

[tex]P= P_0 *e^{rt}\\[/tex]

Where P0 = initial population

P is the population after time t

and r is the rate of increase of population

Substituting the given values in above equation, we get -

[tex]P = 1000 *e^{0.2*t}[/tex]

Classify this triangle by its sides.

Answers

Step-by-step explanation:

The answer is scalene triangle

What is the slope of a line through (-2,5) and (4,6)?

Answers

Answer:

1/6

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 5 / 4 - (-2)

1 / 6

1/6

Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?

Answers

Answer: 13 quarts



Explanation: hope this helps u I’m in 9th grade

Bob works at a construction company. He has an equally likely chance to be assigned to work different
crews everyday. He can be assigned to work on crews building apartments, condominiums, or houses. If
he works 21 days a month, about how many times should he expect to be assigned to the condo crew?
times out of 21 days.
Bob can expect to be assigned to the house crew about

Answers

hope this helps have a great day!

I'll give brainiest just please help

Answers

Answer:

1.9

Step-by-step explanation:

just put it into he calculator, because with 3 above the square root.

Answer:

Approximately 1.9 (rounded to the nearest tenth)

Step-by-step explanation:

First, we are left off with the equation:

[tex]y^{3} = 7[/tex]

We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of [tex]y^{3} = 7[/tex].

[tex]\sqrt[3]{y^3} = \sqrt[3]{7}[/tex]

Then, the [tex]\sqrt[3]{y^3}[/tex] just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...

y = 1.9

Therefore, the cube root of 7 is around 1.9. Hope this helps!

please help! answer correct for 10 points and brainliest.

Answers

Answer:

14 square cm Should be the answer, plz do correct me if im wrong!!

Step-by-step explanation:

The right side which is triangle is 2x3 is 6 but because there is only half 6/2

it is 3!

Th middle portion which is square is 2 to the 4th power or 2x2x2x2 or just 2x4(2^4)!! Which is 8!

Finally the last triangle is the same as the first 3

8+6(the to triangles 3+3)=14

Mark brainliest plz, it was nice helping you if im wrong plz tell me immdiately i dont want to cause any problems good day ;)

Yea it’s 14 the first one is right

please help

The lines shown below are parallel. If the green line has a slope of 3, what is
the slope of the red line?

A. -3
B. 3
C. 1/3
D. -1/3

Answers

Answer:

- 3

Step-by-step explanation:

ap ex

How do I solve this problem?

Answers

Answer:

21, 18, 15

Step-by-step explanation:

First term = a1

Second term = a2

Third term = a3

a1 = 21

a2

= a + d

= 21 - 3

= 18

a3

= a + 2d

= 21 + 2 ( - 3 )

= 21 - 6

= 15

The first 3 terms are 21, 18, 15.

i need this done rn plz help

Answers

Answer:

answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.

Step-by-step explanation:

What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.

true or false dilations always increase the length of time segments ​

Answers

Answer:

False, The dilation could decrease as well as increase the length of figure or line segment depending on the scale factors it's being dilated by.

Hope this helps!

i really need help ASAP!!

answer needs to be in simplest radical form.

find n.

Answers

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / [tex]2\sqrt{3}[/tex]  

2x = [tex]2\sqrt{3}[/tex]  

x = [tex]\sqrt{3}[/tex]

The right angle = 90 degrees :)

A piece of land is 3 miles wide. It is 4 1/6 times as long as it is wide. How long is the piece of land?

Answers

Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]

Step-by-step explanation:

Given

A piece of land is 3 miles wide

It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide

Suppose width be b

So, length becomes [tex]\frac{24+1}{6}b[/tex]

Also, [tex]b=3\ \text{miles}[/tex]

[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]

a debt that the company or entity enters into with the investors that pays the investors interest on that debt is refer as​

Answers

Answer:

dividend,  

Step-by-step explanation:

Help ASAP! It’s due and thanks

Answers

Answer:

C

Step-by-step explanation:

It can't be B or D, because there is only a difference in the X axis (Meaning it goes either left or right)

It can't be A because 2 is less than 11, so (2, -1) would be left 9 units in relation to (11, -1)


You start at (5, 4). You move left 3 units and up 4 units. Where do you end

Answers

Answer:

21

Step-by-step explanation:63

What is the exact value of tan(300°)?

Answers

Answer:

The exact value of tan 300° is ⏩ - √3

Hope it will help :)❤

h(v)=5v2–28v+11, use synthetic division to find h(4).

Answers

Answer:

h(4)=-21

Step-by-step explanation:

h(v)=5x^2-28v+11

h(4)=5(4)^2-28(4)+11

h(4)=5(16)-112+11

h(4)=80-101

h(4)=-21

If this helps please mark as brainliest

A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?

Answers

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour  = 6 hours

What is the first step in simplifying the expression below ?

3 + 4 (6 - 8)^2

O 3 Plus 4
O 3 Plus 16
O 6 Minus 8
O Multiply -2 by itself
O Multiply by 4​

Answers

follow PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction)

6 minus 8

Answer:

Step-by-step explanation:

The very first step is to take (6 - 8) = - 2    Do the brackets first.

Now square the result (-2)^2 = 4                Multiply by 4

4*4 = 16 These fours are different. The first is the brackets, The second is what is out side the brackets.

Last step: 16 + 3                                          The answer is 19.

19 is not what you asked for, but it's a good idea to see how to continue.

The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet. A model rocket is launched off the ground at an initial velocity of 80 feet per second. Part A: Write a function that can be used to describe the flight of the model rocket. Part B:What domain makes sense for this function in context?

Answers

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )

Choose Yes or No to tell if each statement is true.

3.072 > 3.2

728.307 > 729.07

12.040 = 12.04

531.135 < 531.315

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

3.072 is not bigger than 3.2, so incorrect (no)

728.307 is not bigger than 729.078, so incorrect again (no)

12.040 does equal 12.04, so correct (yes)

531.135 is smaller than 531.315, so correct (yes)

in class slope and y intercept 50 points

Answers

Answer:

Slope =-3, y intercept =4

Step-by-step explanation:

y2-y1/x2-x1 = slope

4-(-2)/0-2=6/-2 or -3

y intercept is where line crosses y axis so it is 4.

Answer:

Slope: -3, y-intercept: 4

Explanation:

=> In order to find slope when a graph is given, the formula would be: [tex]\frac{rise}{run}[/tex](pronounced as "rise over run")

Rise = change in y-value = -3

Run = change in x-value = 1

Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-3}{1}[/tex] also could be written as -3

=> Now, to find the y-intercept, find a value on the graph where the line touches the y-axis, that's where x = 0, which would be your y-intercept;

Here the line touches the y-axis at "y = 4", this is also where x = 0;

therefore y-intercept = 4

Hope this helps!

Simplify for me please

Answers

Answer:

9y^4

Step-by-step explanation

i believe you just add 6yand 3y

hope this helps :)

if this is a test wait for someone else to confirm just to make sure

In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.

Answers

Answer:

The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857

Step-by-step explanation:

There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52

Therefore the combinations can be written like this 8C5= 56 ways

And the probability this can be chosen is  given by

4C3*4C2/8C5

=4*6/56

=24/56

=0.42857

The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56

john bought 3 1/2meters of wire it he used 1 5/6 meters in wire a job how many meters of qire was leftover​

Answers

Answer:

1 (2/3)meter

Step-by-step explanation:

3(1/2) = 7/2  = 21/6

1(5/6) = 11/6

21/6 - 11/6 =  10/6 = 5/3 = 1 (2/3)

hi! please help i’ll give brainliest

Answers

Answer:

give brainliest

Step-by-step explanation:

then i help

Im confused about this question

Answers

Answer:

F

you have to set it up as an equation then solve

Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na

Other Questions
PLZZZZZZZZZZZ HELPPP MEEE Do you think society exaggerates the drug problem among young people? Why? Why might someone else think otherwise? A pocket contains 2 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime two times in a row, if the first coin drawn is not replaced? How does the graph of f(x) = 3jx+2 +4 relate to its parent function?A. The parent function has been translated to the left.B. The parent function has been translated up.C. The parent function has been compressed.D. The parent function has been stretched. 18. A square board has an area of 95.63 square inches. Which isclosest to the length of one side of the board?F 10 inG9 inH 48 in) 24 in I need help pleasee!!!! can someone solve for x please Question 4 of 10What is a major similarity between economic wants and economic needs? A bakery sold bagels in the first hour of business and bagels in the second hour. If the bakery had bagels to start with, how many bagels were left after the second hour? Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages? Some one plzzzz helpppp meeee I need help with this question please what is the polynomial degree for 7,8+6,5-4 - The weak submit to the strong. PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP. Use the table to compare over-the-counter (OTC) medications, prescription medications, and illegal drugs in terms of their use and abuse. Be sure your points are made clearly and include examples. (12 points) What is the r value of the following data to three decimal places x y 4 23 5 12 8 10 9 9 13 2 Sustainability is the ability to sustain production of goods today without impairing our ability to produce goods in the future. Managing resources for their continued use, not just conservation is the ultimate goal of sustainability. Aquaponics is a relatively new branch of food production which utilizes both plant production and fish production in one. In essence, it combines aquaculture and hydroponics (raising plants without soil) in which fish and plants are grown together in one integrated system. The waste from fish provides an organic food source (fertilizer) for the plants and the plants naturally filter the water for the fish. Aquaponics is becoming a popular way to grow both fish and plants because of the advantages it provides to society. What would NOT be an advantage of aquaponics? A) Evaporative losses are significantly reduced, so water is conserved. B) Since the fish supply the nutrients needed for plant growth, costly fertilizers are not needed. C) Vegetables can grow in a climate controlled environment, preventing farming losses from a bad season. D) Aquaponic systems require electricity to run the system which can be difficult in developing countries. Evaluate the expression for x^2x^1 for x=9 What is the prime factorization of 156?