2x √3x+1
Find the derivative

First, raise the denominator (27) to the power of 1:

3^-(x-2) = 1/27^1

Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:

3^-(x-2) = 27^-1

Rearrange the term so that both equations have the same base:

3^-(x-2) = 3^-3

Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:

-(x - 2) = -3

Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)

-x + 2 = -3

Subtract 2 from both sides:

-x = -5

Finally, it is asking for positive x not negative, so divide both sides by -1:

x = 5

So, the answer is A which is 5.

If 3-(x - 2) = 1/27 then the value of x is a) 5.

To solve for x, we'll follow these steps:

1. Distribute:

Distribute the negative sign into the parentheses:  

3 - (x - 2) = 1/27

3 - x + 2 = 1/27

Simplify:

5 - x = 1/27

2. Isolate x:

To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:

5 - x - 5 = 1/27 - 5

-x = -134/27

3. Multiply by -1:

To solve for x, multiply both sides by -1 to isolate x:

-1 * -x = -1 * -134/27

x = 134/27

4. Simplify:

[tex]x = \approx 4.9629[/tex]

Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.

However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.

In summary, while none of the given options is an exact solution, the closest answer is a) 5.

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Complete Question

Choose the correct answer from the given options:

If 3-(x - 2) = 1/27, what is the value of x?

a) 5

b) 3

c) -1

d) -5

Let blank be x

[tex]\\ \sf\longmapsto \dfrac{3}{7}=\dfrac{x}{35}[/tex]

[tex]\\ \sf\longmapsto 7x=35(3)=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{7}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Answer:

20

Step-by-step explanation:

Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-  False

2- true

3- false

4- true

5-  true

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Answer:

3w + x/z + y

That is simplest form

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse

The function is increasing where the slope is positive. The slope is positive from 4 to infinity.

Hope this helps!! :)

Answer:

b

Step-by-step explanation:

edge2020

I think it's 0.075 inch per year

Answer:

Your answer is C. or 0.075 inches per year.

Step-by-step explanation:

251-248 = 3 ( To figure out how much it grew )

2005 -1965 = 40   ( To figure out how long it took )

3/40 = 0.075

Answer:

m1 is 25 and m2 is 50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

x+2x=75

Answer:

it's a negative number. the answer would be

Step-by-step explanation:

-12

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

18.......................

Answer:divided the total buy 9 and if I’m reading correctly the total is two

Step-by-step explanation:

D.

because the number have 3

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

Answer:

Angle of elevation= 180- (20- 55)

180- 75

105°

Answer:

-1

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

Answer:

2nd power is 121

3rd power is 1331

Step-by-step explanation:

LOL

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

Answer:

25,160

Step-by-step explanation:

17,000 x 0.04 = 680

Town gains 680 people every year.

After 12 years, town will have 25,160 people.

This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.

Step-by-step explanation:

the answer is in the image above

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]

Where

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

[tex]\textsf{ \underline{Solution-}}\\[/tex]

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]

Substituting the given values

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]

[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]

[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Hence,

The sum (Principle) is Rs.4000.

Answer:

x = 6

Step-by-step explanation:

All angles of a triangle equal 180

180 - 70 - 60 = 50

8x+2 = 50

x = 6

Answer:

x = 6

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

70 + 60 + 8x + 2 = 180 , collect like terms

132 + 8x = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Answer:

198

Step-by-step explanation:

?/4        110/5

cross-multiply 4*110

440

divide 440/5

88 men

add total employees

110 women + 88 men = 198

Answer:

y = 4

Step-by-step explanation:

The three lines means those segments are equal

4y+8 = 24

Subtract 8 from each side

4y+8-8 = 24-8

4y = 16

Divide each side by 4

4y/4 = 16/4

y = 4

The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

From the complete question (see attachment for box plots), we have the following highlights:

Hence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

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Answer:

300.104

Step-by-step explanation:

3x100=300

1x(1/10)=0.1

4x(1/1,000)=0.004

300+0.1+0.004=300.104