The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]

[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}

[/tex]

Answer:

[tex] \frac{ - 1}{2} [/tex]

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Answer:

30

Step-by-step explanation:

What is 6, 5 five times?

Or 5x6?

Answer:

On average, the workers dig 4.75ft each day. Also, what x and y questions?

Step-by-step explanation:

Take [tex]38/8=4.75[/tex]

I hope you have a great day and make me the brainliest.

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

Given that,
A drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water,

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
The total depth of dig = 38 feet
Total time took to dig 38 feet = 8 days
For 1 day, the depth of the dig = 38 / 8 = 4.75
Now,
Let x is the number of days,
while y be the depth left to dig in feet,
y = 38 - 4.75x

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

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Answer:

In no b 7 people has represented □

In no c 2 people referred giraffe than dogs

Answer:

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Answer:

5.4 as a fraction is 27/5.

Step-by-step explanation:

Learned in 5th grade

Answer:

Step-by-step explanation:

Essentially, we can use the pythagorean rule that:

a^2+b^2=c^2

c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:

9^2+40^2=41^2

81+1600=1681

1681=1681

Based on this math, A is our right angle!

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Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

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Angles theorem and Reflexive property of congurence

The solution is

Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

Now , AC is a diagonal of the parallelogram

According to the postulates of parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

And ,

From the figure , we can deduct that ΔABC ≅ ΔCDA by

Angle A is congruent to angle C, and angle D is congruent to angle B

So , from congruent triangle theorem ΔABC ≅ ΔCDA

And ,

∠B ≅ ∠D

Because Opposite angles are congruent of a parallelogram

Hence , Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

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Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

Answer:

1. =

Step-by-step explanation:

1.

R.H.S

5.2 + 5.a

(now taking 5 common)

5(2+a)

Answer:

61.9

Step-by-step explanation:

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Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

Answer:

9

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Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

11x - 47 = 6x - 2                  Corresponding angle. Add 47 to both sides

11x = 6x + 47 - 2                 Combine

11x = 6x + 45                      Subtract 6x from both sides

11x - 6x = 45                       Combine

5x = 45                              Divide by 5

5x/5 = 45/5

x = 9

Answer:

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

Answer:

x=42

Step-by-step explanation:

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

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Answer:

Line a and b

Step-by-step explanation:

Answer:

Part A:

LCM of 7 and 8 is 56.

7*8 = 56

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

Part B:

GCF of 54 and 81 is 27.

54: 1, 2, 3, 6, 9, 18, 27, 54.

81: 1, 3, 9, 27, 81.

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

Part C:

GCF of 54 and 81 is 27.

54 / 27 = 2

81 / 27 = 3

Final expression: 27(2 + 3)

Answer:

Part A: 56

Work:

7: 7, 14, 21, 28, 35, 42, 49, 56

8: 8, 16, 24, 32, 40, 48, 56, 64

Part B: 27

Work:

54: 54, 27, 9, 3, 1

81: 81, 27, 9, 3, 1

Part C: 27(2+3)

Work:

27×2 = 54    

27×3 = 81

(27×2)+(27×3) = 54+81

(27×2)+(27×3)=27(2+3)

Explaining work:

First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).

Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

≅

Answer:

( x + 1 ) ^ 3

Step-by-step explanation:

f(x) = 3√x - 1

replace x with y

x = 3√y - 1

solve for y,

x = 3√y - 1

x^3 + 3x^2 + 3x + 1 = (x+1)^3

HOPE THIS HELPS :)

The sub duplicate ratio of 16:9 is

4: 3

The sub-duplicate ratio is found by finding the square root of both the numerator and denominator

The given ratio is 16:9

Find the square root of 16

[tex] \sqrt{16} = 4[/tex]

Find the square root of 9

[tex] \sqrt{9} = 3[/tex]

Combining the two square roots that were found, the sub duplicate is:

[tex] \frac{4}{3} [/tex]

Therefore, the sub duplicate ratio of 16:9 is

4: 3

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Answer:

fluid space that contains DNA, ribosomes, and other enzymes

Step-by-step explanation:

B is points towards the "empty" space, meaning its Stroma.

Stroma defintion: involved in the synthesis of organic molecules from carbon dioxide and water or the fluid of the chloroplast surrounding the thylakoid membrane;

Let's look at the answer choices.

A. enclosed space containing proteins used in ATP formation

B. membranes enclosing open space

C. layered stacks of membranes

D. fluid space that contains DNA, ribosomes, and other enzymes

Obviously not C.

A is Synthase.

B is the whole thing.

It is D.

(BTW THIS IS MATH!! Not science!! Just in case you have more questions!)

Answer:

raw

Step-by-step explanation:

Answer:

No, it is not possible.

Step-by-step explanation:

A system of linear equations with infinitely many solutions must meet at every single point. That means they have both the same y-intercept and the same slope. If either one of those are different, there cannot be infinitely many solutions.

Answer:

r = 6

.....................

Answer:

[tex]x=k\pi[/tex] for any integer [tex]k[/tex]

Step-by-step explanation:

To solve the problem we must know about the sine function.

In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.

Given in the question :

Among all the options given,

[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.

therefore, the value of  [tex]sin(k\pi)[/tex] will always remains 0.

Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.

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Answer:

60/8 = 7.5 mins per mile

Step-by-step explanation:

[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]

Answer:

(8, 0)

(-2, 0)

(-3, 0)

Step-by-step explanation:

x - 8 = 0

x = 8

x + 2 = 0

x = -2

x + 3 = 0

x = -3

[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]

Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...