what is the product of 1/2 × 2/3 × 3/4 × 4/5​

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Rate of change = change in distance ÷ change in time

                          =  (3126 ft - 1735 ft) ÷ (120 s - 45 s)

                         = 1391 ft ÷ 75 s

                         ≈ 18.55 ft/s

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = 2

y-intercept: 4 - (2)(1) = 2

Answer:

2.511 square kilometers

Answer:

A: ST is a segment bisector

Step-by-step explanation:

ST is a segment bisector. Point S cuts in between segment QP. While Point T cuts between segment PO.

Answer:

20?.... seems right to me.

Step-by-step explanation:

9514 1404 393

Answer:

  20 kg

Step-by-step explanation:

The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.

Normally, we think of a month as 4 weeks.

  (4 wk)(5 kg/wk) = 20 kg

If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.

_____

If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...

  52/12 = 4 1/3 weeks/month

Multiplying that value by 5 kg/week will give 21 2/3 kg per month.

__

The answer depends on the assumption you make about weeks in a month.

The answer is x = 12

1. Given

2. Given

3. Alternate Interior Angles

4. Reflexive Property

5. SAS

Hope this helps!! :)

Answer:

x = 9

Step-by-step explanation:

7x - 25 = 4x + 2 (vertical angles)

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

4(9) + 2 = 38 degrees

Answer:

13.5

Step-by-step explanation:

4.5*3=13.5

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

62 Miles per Hour =

90.933333 Feet per Second

(rounded to 8 digits)

Answer:

y=4 x=6

Step-by-step explanation:

you said asap do i dont have time to explain

Answer:

Infinite solutions

Step-by-step explanation:

If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.

Step-by-step explanation:

infinitely many solutions :)

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

learn more on pyramid here:https://brainly.com/question/3399922

Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.

$750 / $37.50= 0.05

The answer is 5%

Hope this helps

Answer:

plus ten points huh i only see five

Step-by-step explanation:

Answer:

|-x| + 3

Step-by-step explanation:

I say that because -x will be turned into positive x and then add the 3, and you will get the answer.

Answer:

The double shaded region

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Answer:

Step-by-step explanation:

Let the number of student tickets is s and general admission tickets - g.

Set equations and solve:

Double the first equation and subtract from the second to eliminate s:

Find s:

Let the student tickerts and general tickets be x and y respectively

From (1) put in (2)

And

Answer:

5.53

Step-by-step explanation:

We know that lg 1000=3.

And using the calculator, we know that lg 342=2.53

Answer:

x = 4, y = -9/2 (-4.5)

Step-by-step explanation:

Using the second equation, we can divide both sides by -2 and get

y = 9/-2

y = -9/2

Then, we plug this y value into the first equation and get:

x + 4(-9/2) = -14

Simplify:

x - 18 = -14

x = 4

The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).

Recall the following:

The isosceles triangle ABC given is shown in the image attached below.

To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.

Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.

Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).

Learn more about AAS Congruence Theorem on:

https://brainly.com/question/3168048

Answer:

The correct result would be f(x) = 4(3.24)x.

Step-by-step explanation:

Answer:

a = 5/3 (1 1/3)

b = 16/3 (5 1/3)

c = 42/5 (8 2/5)

d = 20/9 (2 2/9)

Step-by-step explanation:

Can I have brainliest pls?

Answer:

0

Step-by-step explanation:

Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.

Answer: 12

Plug 6 and 4 into the problem-

6(6 + 2)/4

6(8)/4

48/4 = 12

Hey there!

6(g + 2) / h

= 6(6 + 2) / 4

= 6(8) / 4

= 8(6) / 4

= 8 + 8 + 8 + 8 + 8 + 8 / 4

= 16 + 16 + 16 / 4

= 32 + 16 / 4

= 48 / 4

= 48 ÷ 4 / 4 ÷ 4

= 12 / 1

= 12 ÷ 1

= 12

Therefore, your answer is: 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)