What is the product of $\frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \ldots \times \frac{2006}{2005}$?

Answers

Answer 1

Answer:

2.5

Step-by-step explanation:

We need to find the product of the following expression.

[tex]\dfrac{3}{2}\times \dfrac{4}{3}\times \dfrac{5}{4}\times \dfrac{2006}{2005}[/tex]

3 and 4 are there in both numerator and denominator. It will cancel out.

[tex]\dfrac{1}{2}\times \dfrac{1}{1}\times \dfrac{5}{1}\times \dfrac{2006}{2005}\\\\=\dfrac{5}{2}\times \dfrac{2006}{2005}\\\\= 2.5[/tex]

So, the value of the above expression is 2.5.


Related Questions

R=19, M
SEE THE PICTURE TO UNDERSTAND SORRY

Answers

Answer:

what is the question??????

Right where is that question

HELP ME PLZ>>>>>THANKYOU

Answers

Answer:

(4, 6 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 36 → (1)

y = - [tex]\frac{1}{2}[/tex] x + 8 → (2)

Substitute y = - [tex]\frac{1}{2}[/tex] x + 8 into (2)

3x + 4(- [tex]\frac{1}{2}[/tex] x + 8) = 36 ← distribute and simplify left side

3x - 2x + 32 = 36

x + 32 = 36 ( subtract 32 from both sides )

x = 4

Substitute x = 4 into (2) for corresponding value of y

y = - [tex]\frac{1}{2}[/tex] × 4 + 8 = - 2 + 8 = 6

solution is (4, 6 )

can anyone help? don’t understand

Answers

k so there are 5 number between 0 and 5 so you’ve just got to see how many there are then fill out the box
5 h 10 = 4
10 h 15 = 6
15 h 20 = 5

b) co ordinates you need to do points then connect together
2.5,
7.5,4
12.5,6
17.5,5

Can someone help me solve this please I don’t know how to do it

Answers

Step-by-step explanation:

NO = TS

20 = 3x-720+7 = 3x27 = 3x27/3 = x9 = x

Hope this helps you.

(x-4)/3 ≤ 5
x ≤ ?
HELP ME PLEASE

Answers

Answer:

x ≤ 19

Step-by-step explanation:

2. Which variable will eliminate? *
3x +6y=27
-3x+8y= 1

Answers

9x=27
x=3
———
-3*3+8y=1
5\4

Answer:

the x variable

Step-by-step explanation:

Given the 2 equations

3x + 6y = 27 → (1)

- 3x + 8y = 1 → (2)

Since the signs of the coefficients of x are opposite, then adding them will eliminate the x- term, that is

Add (1) and (2) term by term

0 + 14y = 28

14y = 28 ( divide both sides by 14 )

y = 2

Then substitute y = 2 into either equation for corresponding value of x

A quantity with an initial value of 990 grows exponentially at a rate such that the quantity doubles every 4 years. What is the value of the quantity after 0.7 decades, to the nearest hundredth?

Answers

Answer:3329.95

Step-by-step explanation:

The value of the quantity after 0.7 decades, to the nearest hundredth is 1157.37.

Given that, a quantity with an initial value of 990 grows exponentially at a rate such that the quantity doubles every 4 years.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

We know that, S.I=(P×T×R)/100

Amount after 4 years is 1980

So, 990= (990×4×R)/100

⇒ 39.6R=990

⇒ R=990/39.6

⇒ R=25%

Amount = [tex]a(1+r)^t[/tex]

= [tex]990(1+0.25)^{0.7}[/tex]

= 1157.37

Therefore, the value of the quantity after 0.7 decades, to the nearest hundredth is 1157.37.

Learn more about the exponential function here:

brainly.com/question/11487261.

#SPJ5

wedding ring costs £7000. Work out the price after a 2.5% price increase

Answers

Answer:

7175

Step-by-step explanation:

100%->7000

102.5%->7175

9 cross times 100 plus 9 cross times 10 plus 0 cross times 1 plus 0 cross times 1 over 10 plus 3 cross times 1 over 100 plus 7 cross times fraction numerator 1 over denominator 1 comma 000 end fraction ?

Answers

Answer:

990.037

Step-by-step explanation:

Answer:

Your question isn't clear

Step-by-step explanation:

how to decompose this fraction 2 1/2

Answers

Answer:

1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2

Step-by-step explanation:

Answer:

first take 2 1/2

2 x 2 = 4 + 1 = 5

So Now we have 5/2 and bam

THATS YOUR ANWSER

5/2 ;)

please help quick! Find the area of the shape shown below.

\text{units}^2units
2

Answers

Answer:

12.5 units^2

Step-by-step explanation:

The shape is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) 2.5

A = 1/2 ( 10)2.5

A = 12.5 units^2

Answer:

12.5 units^2

Step-by-step explanation: Big Brain

Find the common ratio for the series equation 50, -10, 2 , -2/5, ...
A. 5
B. - 1/5
C. -5
D. - 2/5

Answers

Answer:

-1/5.

Step-by-step explanation:

Common ratio = -10/50 = 2/-10 = -2/5 / 2 = -1/5.

can someone show work for these answers here.I will give extra points if you answer

Answers

Answer:

Step-by-step explanation:

1. 3n+4n=28

         7n=28

           n=4

2. 2x+7-9=10

           2x=10+2

            2x=12

               x=6

3. 3(a+2)=-5

    3a+6=-5

         3a=-11

           a= -11/3

4. 2(3n-1)=19

      6n-2=19

          6n=21

            n=7/2

5. 3x-5-x+1=10

            2x=14

               x=7

6. -3-5=5-2a+7

      2a=20

        a=10

7. -5(n-2)= -15

        n-2=3

           n=5

8. Let the cost of each fan be y.

    6y+3y=1188

         9y=132

∴ The cost of each fan is $132.

through:(-4, -4), parallel to y= 7/4 x-3 ?

Answers

Answer:

Step-by-step explanation:

y-(-4)= 7/4(x-(-4)

Y+4= 7/4x +4

Y = 7/4x

Find the value of each variable in the parallelogram?

Answers

Answer:

Step-by-step explanation:

In parallelogram opposite angles are equal

6x = 66      {Divide both sides by 6}

x = 66/6

x = 11

20y - 46 = 13y + 10     {Add 46 to both sides}

20y - 46 + 46 = 13y + 10 + 46

             20y   = 13y + 56     {Subtract 13y from both sides}

   20y - 13y    = 13y-13y + 56

              7y    =  56    {Divide both sides by 7}

                y =  56/7

y = 8

I need help with this ASAP I don’t get it at all

Answers

Answer:

25.12 cm

Step-by-step explanation:

So they r asking you to calculate the circumference of a circle.

C=2pir

r=4 in

C= 2×3.14×4

=8×3.14

=25.12 cm

If Tim plotted the points 2,4 and 6,4 What is the equation of a line that passes both of tim’s points ?

Answers

Answer:

y = 4

Step-by-step explanation:

1. Find the slope

slope = rise over run or change in y divided by change in x

The slope of (2,4) and (6,4) is

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

the slope is 0

2. Use point-slope form: y - y₁ = m(x - x₁)

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

m -> (slope) = 0

y - 4 = 0(x - 2)

y - 4 = 0

y = 4

Triangles MNQ and MOP are similar. What is the slope of segment MO?

A. 1/3
B. 1/2
C. 2/3
D. 3/2

Answers

Answer:

D. 3/2

Step-by-step explanation:

The scale factor is 1/2 from OP / NQ = 1/2. Because of that, MQ is equal to half of MP and QP is equal to half of MP. Therefore, QP = MQ = 2. The slope of MO is rise over run which is 6 / 4 or 3 / 2.

tom worked for 80 min how long did tom work

Answers

Answer:

80 minutes

Step-by-step explanation:

Answer:

Tom worked for 1 hour and 20 minutes.

Step-by-step explanation:

Solve for x.
8(x-1)=-4x+136

Answers

Step-by-step explanation:

Given

8(x - 1) = - 4x + 136

8x - 8 = -4x + 136

8x + 4x = 136 + 8

12x = 144

x = 144 / 12

x = 12

WILL GIVE BRAINIEST IF CORRECT !!!

True or false: Suppose I rotate a shape 90 degrees counterclockwise. It will end up in the same place as if I moved it 90 degrees clockwise.

True or false: Suppose I rotate a shape 180 degrees counterclockwise. It will end up in the same place if I rotate it 180 degrees clockwise.

Answers

Answer:

1. True

2. True

Step-by-step explanation:

Counter clockwise is in the opposite direction that the clock hands move, therefore, both Answers are true.

hope this helped :)

I need your help asap​

Answers

Answer:

with what

Step-by-step explanation:

theres no picture or question

Answer:

mk

Step-by-step explanation:

you have been helped

Solve using substitution. x+y=-9 and -2x-3y=17​

Answers

answer:
x = -10
y= 1
explanation:
x+y = -9
y = -9 - x
-2x -3 (-9 - x) = 17
-2x +27 +3x = 17
27 + x = 17
x = -10
y = -9 -(-10)
y= -9 + 10
y= 1
(This is just math i did real quick and didnt double check, tell me if its wrong please!)

Please help! Worth 100 points!
As you are completing your writing today, you are able to use any or all of the following topics in your writing.

Required 400 words.

Topics learned in Unit 11:

y = abx
Graphing Exponential Functions
End Behavior
Asymptote
Exponential Growth
Exponential Decay
y = a(1+r)t
y = a(1-r)t
Exponential Regression

Make sure its 400 words!

Answers

Answer:

okay I'll try my best but I'm I just suppose to explain the equation?

Step-by-step explanation:

x

f(x) = 2x

−3

2−3 = 1/8

−2

2−2 = 1/4

−1

2−1 = 1/2

0

20 = 1

1

21 = 2

2

22 = 4

3

23 = 8

Don't to mansion!! (omg they actually came)(Not)

Answers

Answer:

Don't go to the mansion

Step-by-step explanation:

Hope this helps

Describe fully the single transformation that maps triangle A onto triangle B

Answers

Answer:

180 degree clockwise rotation about center and a dilation of 0.5.

¿Cuáles son las longitudes de un terreno rectangular, si se sabe que el ancho es dos veces más pequeño que el largo, y que su área es de 16, 200 m2? cuanto mide el ancho cuanto mide el largo

Answers

Answer:

El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m

Step-by-step explanation:

Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.

En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.

Siendo el área del terreno rectangular 16,200 m², entonces

x*(x÷2)= 16,200 m²

Resolviendo:

x² ÷2= 16,200 m²

x²= 16,200*2 m²

x²= 32,400 m²

x= √32.400 m²

x= 180 m

Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)

Work out, in its simplest form
1/2 + 3/8

Answers

1/2 + 3/8 = 4+3/8 = 7/8

Answer:

7 / 8

Step-by-step explanation:

In order to add fractions, the denominators must be the same.

1 / 2 + 3 / 8

Find the least common denominator by prime factorization.

2:2

8:2, 2, 2

To determine the least common denominator (LCD), multiply the common factor 2 times the other factors in blue.

LCD = 2 × 2 × 2 = 8

Multiply  1 / 2 times 4 / 4 so that it will have a denominator of 8.

1 / 2 × 4 / 4 + 3 / 8

= 4 / 8 + 3 / 8

= 7 / 8

Hope this helps :)

Please help with my work!

Answers

Answer:

x = 2

z = 85°

Step-by-step explanation:

95° + z = 180°

z = 180 - 95

z = 85°

z + (11x + 73) = 180°

85 + (11x + 73) = 180°

11x + 85 + 73 = 180°

11x + 158 = 180°

11x = 180 - 158

11x = 22

x = 22/11

x = 2

Whats your favorite Nba team?

(BTW mine is the Milwaukee Bucks)

Answers

Answer:

Milwaukee as well. Giannis is a beast

Step-by-step explanation:

Answer:

Chicago Bulls

Step-by-step explanation:

Just the favorite

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