Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3

Answers

Answer 1

Answer:

Step-by-step explanation:

t22 = a + (n- 1)d

t22 = 3 + 21*4

t22 = 3 + 84

t22 = 87


Related Questions

Please help!!! Look at image. Excuse my answers I’m not sure if there right.

Answers

17-
Quotient: 6x+2
Remainder: 20/x^2+3 (20 over x to the power of 2 plus 3)

18-
Quotient: x^2+3 (x to the power of 2 plus 3)
Remainder: 6/4x^2+2 (6 over 4 x to the power of 2 plus 2)

It takes 111 pounds of seed to completely plant a 12-acre field.
How many acres can be planted per pound of seed?

Answers

Answer:

0.108 Acres

Step-by-step explanation:

We find the rate by dividing the amount of acres to the pounds

12/111

= 0.108

0.108 acres of land can be planted per pound of seed

50 POINTS!! Picture attached

Answers

Answer: SLAPS and TAPS GAPs And djfjkfkfc.

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. How many mugs could you make with 360 spoonfuls of cocoa mix?​

Answers

Answer:

79

Step-by-step explanation:

because i said so

What is 1/2 + 1/4 =?????

Answers

Answer: 0.75

Step-by-step explanation:

take the horse to overtake the
17. A car completes a journey at an average speed of 40 km/h. At what
speed must it travel on the return journey if the average speed for the
complete journey (out and back) is 60 km/h?
Help

Answers

Answer:

120 km/h

Step-by-step explanation:

Speed in one direction = 40 km/hSpeed on return = xAverage speed = 60 km/h

Let the distance be d

Average speed

2d/(d/40 + d/x) = 60d/40 + d/x = 2d/601/40 + 1/x = 1/301/x = 1/30 - 1/401/x = (4-3)/1201/x = 1/120x = 120 km/h

Trayvon wants to find out if tomato plants produce more tomatoes when they are fertilized. He grows 5 plants with fertilizer and 10 plants without fertilizer, and plans to compare the results. Which is the most appropriate quantity to measure for each group of plants

Answers

Answer:

The most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

Step-by-step explanation:

In this kind of experiment the most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

for plants with fertilizer

Independent variable/ quantity ; quantity of fertilizer applied and other controlled quantity like amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

For plants without fertilizer

Independent variable/quantity ; Absence of fertilizer and other controlled quantity like the amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

Hi . Please I need help with these questions :
See image for question.
Answer no 5 and 6.

Answers

Answer:

(i) √23

(ii) 196√23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Standard Form:   x² - 10x + 2 = 0

Step 2: Define variables

a = 1

b = -10

c = 2

Step 3: Find roots

Substitute:                    [tex]x=\frac{10\pm\sqrt{(-10)^2-4(1)(2)} }{2(1)}[/tex]Exponents:                   [tex]x=\frac{10\pm\sqrt{100-4(1)(2)} }{2(1)}[/tex]Multiply:                        [tex]x=\frac{10\pm\sqrt{100-8} }{2}[/tex]Subtract:                       [tex]x=\frac{10\pm\sqrt{92} }{2}[/tex]Simplify:                        [tex]x=\frac{10\pm 2\sqrt{23} }{2}[/tex]Factor:                          [tex]x=\frac{2(5\pm \sqrt{23}) }{2}[/tex]Divide:                          [tex]x=5\pm \sqrt{23}[/tex]

Step 4: Define roots

α > β

α = 5 + √23

β = 5 - √23

Step 5: Evaluate

i

Substitute:                    [tex]\frac{1}{5-\sqrt{23} } -\frac{1}{5+\sqrt{23} }[/tex]Subtract:                      [tex]\sqrt{23}[/tex]

ii

Substitute:                    [tex](5+\sqrt{23})^3-(5-\sqrt{23})^3[/tex]Evaluate:                       [tex](98\sqrt{23} +470)-(470 - 98\sqrt{23} )[/tex]Subtract:                       [tex]196\sqrt{23}[/tex]

Answer:

(i) √23(i) 196√23

Step-by-step explanation:

Given equation:

x² - 10x + 2 = 0

Roots are:

α and β

Sum of the roots:

α + β = -b/a ⇒ α + β = -(-10)/1  ⇒ α + β = 10

Product of the roots:

αβ = c/a ⇒ αβ = 2/1 ⇒ αβ = 2

Finding the following:

(i)

1/β - 1/α =(α - β)/αβ =√(α - β)² / αβ =√((α + β)² - 4αβ) / αβ = √(10² - 4*2) / 2 =√92 / 2 =2√23 / 2 =√23

(ii)

α³ - β³ =(α - β)(α² + αβ + β²) =√(α - β)²× ((α + β)² - αβ)√((α + β)² - 4αβ) × ((α + β)² - αβ) =√(10² - 4*2) × (10² -2) =√92 × 98 =2√23 × 98 =196√23

I have more questions like this so, if you can do a step by step i would love that!

Answers

ANSWER:

y = 2/3x + 2

EXPLANATION:

Write the equation in slope intercept form
y=mx+b
-2x+3y=2
3y=2+2x
y=2/3x+2/3

From the slope intercept form, we know that the slope is m=2/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Substitute the slope 2/3 and the point (3,4) in the point slope form: y-y1=m(x-x1) which we get from m=y2-y1/x2-x1
y - (4) = 2/3 • (x-(3))

Simplify it
y - 4 = 2/3 • (x-3)

Solve for y
y - 4 = 2x/3 - 2
y = 2x/3 - 2 + 4
y = 2/3x + 2

Need help on this question! :)

Answers

Answer:

i think it's 42

Step-by-step explanation:

42 tiles

1 figure = +4 tiles

7 figures x 4 tiles = 28 tiles

28 + 14 = 42

A fruit basket contains 4 plums, 6 oranges, and 5 apples. There are also bananas in the fruit basket. If there are a total of 18 pieces of fruit in the basket, what is the ratio of bananas to oranges?

Answers

3:6 I think but I’m not completely sure

Find x.
9x – 15=7x-1

Answers

Answer:

x=7

Step-by-step explanation:

First, add 15 to both sides (whatever you do to one side, do it to the other), this will help cancel out the -15 on the right side of the equation,  

so 9x-15+15=7x-1+15,      the 15 cancels out and we get 9x=7x+14

Now we want to simplify this further, lets subtract 7x from both sides,

9x-7x=7x-7x+14,     2x=14

Let's divide both sides by 2 because the 2 and x are held together by "multiplication" so we will break that bond with division and that will leave us with x.

2x/2=14/2

x=7

Our goal is to have a variable on one side and a number on the other, so that is why we are doing this. Also, notice that to solve this equation we were doing the reverse operation. For example, when we added 15 to both sides, we were performing the opposite of subtraction because we had a -15. Remember that variables are connected to numbers through multiplication, so 9x would be the same thing as 9*x

if you need a further explanation, feel free to ask in the comments!

The answer is 7


x=7

Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?

Answers

Answer:

z=kx/y

zy=kx

zy/x=kx/x ( divided both side by x. to find k)

k=zy/x

k=6×4/3(z=6,y=4,x=3)

k=24/3

k=8

so z=kx/y

z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)

z=40/2

z=20

how to solve V = 1/3 Ah for h

Answers

Answer:

(3V)/A = h

Step-by-step explanation:

V = 1/3 Ah

Solve the literal equation using inverse operations;

V = 1/3 Ah

*3    *3

3V = Ah

/A     /A

(3V)/A  = h

Xvnkdvndfjv!dbff!u43&&7)'34&97-€&)+_€'")+€":)€_8

Answers

Answer:

Mental Hospital is on the way!

Answer:

Dont know

Step-by-step explanation:

Thinks for free pints

multiply (x+1)^2
a. x^2+1
b. x^2+2x+2
c. x^2+x+1
d. x^2+2x+1
PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

We have:

[tex](x+1)^2[/tex]

Expand:

[tex]=(x+1)(x+1)[/tex]

Distribute Property:

[tex]=(x+1)x+(x+1)(1)[/tex]

Distribute:

[tex]=x^2+x+x+1[/tex]

Add:

[tex]=x^2+2x+1[/tex]

Hence, our answer is D.

Answer:

d.  x^2 + 2x + 1

Step-by-step explanation:

(x+1)(x+1)

use the FOIL method:

x^2  +1x  +1x  +2

combine like terms 1x and 1x

x^2 +2x +1

Consider the conditional statement of N is the midpoint of CD then CD =2CN what is the hypothesis

Answers

Answer:

Step-by-step explanation:

If N is the midpoint of CD, it means that N bisects the line CD. Hence;

CN + ND = CD .... 1 and;

CN = ND .... 2

Substitute equation 2 into 1;

CN + CN = CD

2CN = CD

Rearrange;

CD = 2CN (proved)

The hypothesis is the midpoint hypothesis and the hypothesis is TRUE

What is the solution to the equation 9(x + 1)
27? (1 point)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]9(x + 1) = 27[/tex]

Divide sides by 9

[tex] \frac{9(x + 1)}{9} = \frac{27}{9} \\ [/tex]

[tex]x + 1 = 3[/tex]

Subtract sides 1

[tex]x + 1 - 1 = 3 - 1[/tex]

[tex]x = 2[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to the sum of the other two.

Answers

Answer:

x = 5, y = 7, z = 12

Step-by-step explanation:

Let the numbers be x, y and z

x + y + z = 242y = z + 2z = x + y

Solving by substitution:

x + y + z = z + z = 242z = 24z = 12

2y = z + 22y = 12 + 22y = 14y = 7

z = x + yx = z - y x = 12 - 7 = 5

The answer:

x = 5, y = 7, z = 12

3x2 A match like terms

Answers

Answer:

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Is the statement true? Explain.​

Answers

Answer:

The statement is true.

Step-by-step explanation:

We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.

Nathan and Tyler are making snowballs in preparation for a big snowball fight. It takes Nathan 4 minutes to make 7 snowballs.

This equation describes the number of snowballs, y, Tyler can make in x minutes:

y=1.5x

Who makes snowballs at a faster rate?

How much faster does he make snowballs?

Write your answer as a whole number or a decimal rounded to the nearest hundredth.

________ snowballs per minute faster

Answers

If you google this it may bring up answers for the whole assignment

given the function f(x) = 8x2 -14x - 10, find f(-2)

Answers

Answer:

-32 I think (plz dont be mad at me if this is wrong)

Step-by-step explanation:

Answer:

f(-2) = 50

Step-by-step explanation:

f(x) = 8x^2 - 14x - 10, find f(-2)

Just like how -2 replaced x in f(x), you will replace x with -2 in the equation

f(-2) = 8(-2)^2 - 14(-2) - 10

f(-2) = 8(4) + 28 - 10

f(-2) = 32 + 18

f(-2) = 50

The equation of the line with slope -3 that goes through the point (-9,-7) can be written in the form y=mx+b
where m is:
and where b is:

Answers

Answer:y= -9x-25

Step-by-step explanation: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7).

--------

Form:: y = mx + b

Solve for "b"::

-7 = -9*-2 + b

-7 = 18 + b

b = -25

-----

Equation:

y = -9x - 25

---------------

Cheers,

Stan H.

-----------

point slope formula

y-y1=m(x-x1)

y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add.

 

y+7=-9x-18

y= -9x-25

Ayudaaaa porfavorrr se los suplico me

Answers

Es la a por qué te dice que cuál es el volumen de una pelota y 2+2 da 4 pero no lo sé ‍♀️

please help which of the following statements could be a function?

Answers

Answer:

The first one height vs shoe size.

Step-by-step explanation:

Let's evaluate each choice

1) Generally, it is possible that the taller a person is, that his/her shoe size would generally get bigger also. Hence we can say that it is possible that there is a function correlation between height and shoe size.

2) hair length can be cut down short or left long regardless of the height of a person, so we cannot say for sure that hair length correlates with height. Hence this is probably not a function)

3) hair color has no bearing on a persons age. hence this is probably not a function.

4) student ID number doesn't depend on the name of the student. Hence this is probably not a function.

Niah has 34 gems and gives 8 to her sister how much does Niah have now?

Answers

Answer:

answer is 26 gems

Step-by-step explanation:

you subtract 8 from 34 and you get 26 as your answer

what is the equation a line passes through the points p(2,4) q(-1,3)​ A y=3x+10 B y=x+10 C -x-10 D y=3x-8​

Answers

Answer:

D

Step-by-step explanation:

A shape is shown on the centimetre grid below.

Work out the area of the shape after it has been enlarged by scale factor 2.

State the units of your answer.​

Answers

Answer:

The area of the shape after it has been enlarged by

scale factor 2 will be: 10 cm²

Step-by-step explanation:

The Area is basically a measure of how much space in square units there is inside an object.

As the shape is shown on the centimeter grid.

The shape clearly occupies the space of 5-centimeter squares.

We also know that If the scale factor > 1, the image is enlarged.

As we know to determine the area of the shape after it has been enlarged by scale factor 2, all we need to do is to multiply the area of the original shape by 2.

The area of original shape = 5 cm²

The area of the shape after the dilation by a scale factor 2 = 5 × 2 = 10 cm²

Thus, the area of the shape after it has been enlarged by

scale factor 2 will be: 10 cm²

the answer is wrong, can anyone tell me what the answer is

Step-by-step explanation:

what is 0.34 of 112?

Answers

Answer:

i think its 30.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

112 × 0.34 = 38.08

Other Questions
(it's a fill in the blank)____ provide the means for other professions to perform their jobs more efficiently and effectively. see the image please answer as fast as possible 15 points! also round, please Please asking for help thanks! Where did the Hebrew People spend 40 years after leaving Egypt?A. The Red SeaB. The land of UrC. The Sinai DesertD. The Eilat Mountains which is a component of mental health?getting along with othersbeing physically fitengaging in proper nutrition having a sense of well being If I travel 5m to the left, and then 2m to the right, what is my distance?What is my displacement 2.81551 nearest hundredth why do most people vote during presidential elections but not during off year elections a number that multiplies to 30 and adds up to 13 Get ready for takeoff. Change one number in the equation below to safely land the plane. 01 Press "Submit" to see if the plane lands safely. y = 2x - 7 Submit 0 5 10 -5 (8.891, -3.578) --10 United States already had tensions withSpain before the U.S.S. Miane explosion. True false How to cross multiply 2 3/4 divided by 21= NEED HELP ASAP WILL GIVE BRAINLEST Find -1 5/6 + (-1/3) model the expression on the number line drawing an arrow How do you say "We used to jump rope every day when we were kids" in Spanish?A. Saltamos a la comba todos los das porque somos nios.B. Saltan a la comba todos los das porque son nios.C. Saltbamos a la comba todos los das cuando ramos nios.D. Saltaban a la comba todos los das cuando eran nios. What is the answer to this? Plz answer! It's due tomorrow!!!!! Write an equation for the line parallel to the given line that contains C. C(-3,6); y=8/9x-2 Explain why a seesaw is closest in arrangement to a first class lever PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!! The polynomial p(x)=3x^3-20x^2+37x-20p(x)=3x 3 20x 2 +37x20p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 20, x, squared, plus, 37, x, minus, 20 has a known factor of (x-4)(x4)left parenthesis, x, minus, 4, right parenthesis. Rewrite P(x) as a product of linear factors