the 200th term of the arithmetic progression 10 97,94,91,.............is​

Answers

Answer 1

Answer:

-500

Step-by-step explanation:

Given sequence;

    97, 94, 91 ......

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

 Common difference  = second term - first term

                                     = 94 - 97  

                                     = -3

To find the 200th term, we use the expression below;

     Sn  = a + (n-1)d

   a is the first term

    n is the nth term

   d is the common difference

 S₂₀₀ = 97 + (200 - 1 ) x -3 = -500


Related Questions

I NEED ANSWER ASAP PLEASE
NEED HELP

Answers

That’s all I know, I’m not that smart when it comes to math

what is the value of the digit in the tens place? 6,423​

Answers

Answer: 20 :)

Step-by-step explanation:

Use the distributive property to remove the parentheses.
2x+(6x2-9)
Simplify your answer as much as possible.

Answers

Answer: 12x^6 - 18x^4

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

We have,

To remove the parentheses using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.

Applying the distributive property to the expression [tex]2x^4 (6x^2 - 9),[/tex] we have:

[tex]2x^4 * 6x^2 - 2x^4 * 9[/tex]

Multiplying the terms:

[tex]12x^6 - 18x^4[/tex]

Therefore,

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

Learn more about expressions here:

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Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting. y = - 2x + 7 6x + 3y = 1 Choose the correct answer below. coinciding O only intersecting O parallel O perpendicular​

Answers

Answer:

Intersecting

Step-by-step explanation:

I didn't grasp this topic too well. can someone help me?

Answers

Answer:

2 hours

Step-by-step explanation:

I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours,  its 3. But I am 99% sure its 2 hrs.    

Can someone pls help me this it’s due in an hour but I can’t figure it out

Answers

Answer: I do believe that it is that the smooth shape is the dominate and the wrinkled is the resistive.

Step-by-step explanation:

c. What is the major drawback of using the recursive rule?

Answers

Answer:

Use of recursion in an algorithm has both advantages and disadvantages. The main advantage is usually the simplicity of instructions. The main disadvantage is that the memory usage of recursive algorithms may grow very quickly, rendering them impractical for larger instances.

Answer:

uses more memory

recursion can be slow

read the the following question

Answers

Answer:

11 (answer c)

Step-by-step explanation:

you need to find LCD and then combine

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[tex] \frac{7}{8} \div \frac{1}{8} + {2}^{2} = \\ [/tex]

[tex]( \frac{7}{8} \times 8) + {2}^{2} = \\ [/tex]

[tex]7 + 4 = 11[/tex]

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[PICTURE] please answer all questions 1-5 ASAP thanks! FOR 20 PTS!!

Answers

Answer:

bellnshaped i think

Step-by-step explanation:

Saleh can jog 2 3/7 miles in 6/11 hour. Find his average speed in miles per hour.

Answers

Answer:

3.73

Step-by-step explanation:

Graph a line with a slope of 4 that contains the point (3,0).

Answers

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

Learn more,

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Given f(x)=2x+5 find f(3)

answer choices are:
1. ) 28
2.) -28
3.) 11
4.) 6x+5
5.) 5

Answers

Answer:

3.) 11

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5

f(3) is x = 3

Step 2: Solve

Substitute:                    f(3) = 2(3) + 5Multiply:                        f(3) = 6 + 5Add:                              f(3) = 11

Select the story problem that this division problem represents. 3/4 / 1/5. Please help I will give brainliest, thanks!

Answers

Answer:

The answer is b

Step-by-step explanation:

To find the length of the mosaic, we need to use the area divided by width which is 3/4 / 1/3

2. Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}

Answers

C is the answer to that question i think

Answer:

b

Step-by-step explanation:

The answer is B because different X values cannot have the same y values. For example in A the x values, -2 and 0, have the same y value 4. That's not possible.

Although C also has a similar problem ALL of the X values have the same y value meaning that the function is an undefined function which is still a type of function. Its basically a function where all the y values are the same.

Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4

Answers

Y=3x+4 is the line parallel to y=3x+5

Raia purchases a new car for $32,000 and
finances it with a 6-year simple interest
loan at a rate of 4.25%. What are Raia’s
monthly car payments?

Answers

32,000 (Price of Car) x 4.25% (Interest) = 1,360 Divided 72 months (6 year interest) = $463.33/Month

Look at the shaded products. All of the products are the same number. What is true about the pattern?

One of the factors is always 1. When you multiply a number by 1, the product is that number.

One of the factors is always 1. When you multiply a number by 1, the answer is always 1.

One of the factors is always 0. When you multiply a number by 0, the product is that number.

One of the factors is always 0. When you multiply a number by 0, the product is always 0.

Answers

Answer:

The Answer is One of the factors is always 0. When you multiply a number by 0, the product is always 0.

Solve the word problem using a proportion. Danny, who was 6 ft tall, cast a 15 ft shadow. The building he was standing next to cast a 35 ft shadow. How tall was the building? 30 ft, 70 ft, or 14 ft? ​

Answers

Answer: 14 feet

Step-by-step explanation:

Answer:

14 feet

Step-by-step explanation:

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?

Answers

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

Help, Ill give extra points too!

Answers

Answer:

(-6,-18) & (2,6) -----------> 3

(12,6) & (-4,-2) -----------> [tex]\frac{1}{2}[/tex]

(5,-19) & (6,-23) ----------> -4

(3,4) & (3,9) ---------------> unidentified

(1,-10) & (2,-15) -----------> -5

(-1,8) & (3,8) ---------------> 0

(0,0) & (21,14) -------------> [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Use this formula to find all of these slopes.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
rectangles of thick cardboard with a length of 12 inches and width of 8 inches to make the boxes.
She is interested in maximizing the volume of the boxes and wants to know what size squares to
cut out at each corner of the cardboard (which will allow the corners to be folded up to form the
box) to do this. What is the maximum volume?

Answers

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

Please answer this correctly without making mistakes

Answers

Answer:

4 dollars per pound

Step-by-step explanation:

3 x 4 =12

find the missing value for each of the following 3 questions


1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?

Answers

Answer: a

Step-by-step explanation:

just took test edg2020

The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.

What is an Inequality?

An Inequality is a statement that is formed when two expressions are joined using an inequality operator.

The equation is

y = tan²x

y = 1

the inequalities are

tan²x < 1   ( 0≤ x ≤ 2π)

The graph of the system of equations and the inequality is plotted, and attached with the answer.

The answer can be seen as  x = π/6.

To know more about Inequality

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∠10 and angle _____ are complementary angles.?
a.) ∠9 I
b.)∠11 O

Answers

Answer:

9

Step-by-step explanation:

they add up to 90 degrees

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY!!!!!!

X to the second power plus 3x - 4=6

Answers

Answer:

answer is 2

Step-by-step explanation:

Answer:

x^2+3x-4=6

Step-by-step explanation:

first you add the x

What is the quotient between 215÷9

Answers

215/9

= 23.888888........

It is written as shown in the picture

A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.) Round your answer to the nearest tenth if necessary.​

Answers

To calculate the volume of a sphere you must use the formula
v=4/3pir^3

The radius (r) is half of the diameter
r=13.5

v=4/3pi13.5^3
v=10305.99

Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)

Look at this coordinate plane



Which equation can be used to find the y-coordinate of point B?




y/1=23


y/2=56


y−1/2=4/6


y−1/2=y−5/4

Answers

Answer:

Hrmm

Step-by-step explanation:

Divide 7560 in the ratio 4 : 5

Answers

Answer:

3360 4200

Step-by-step explanation:

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