1/3 + 2/3

Please help! This is due tomorrow and I need it now

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

More can be learned about transformations at https://brainly.com/question/28687396

#SPJ1

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

For more questions on Value .

https://brainly.com/question/843074

#SPJ8

Answer:

two half

Step-by-step explanation:

because one plus one half equals two half

Answer:

1.5   cups.

1 / 2.33... quarts.

24 tbsp.

12 ounces.

3/32 gallon.

72 tsp.

Step-by-step explanation:

Measurments for liquid are wierd. mashup of every country. us anyway

Answer:

  28.729%

Step-by-step explanation:

The yield percentage is found from ...

  ((end value) -(start value))/(start value) × 100%

  = (18434 -14320)/14320 × 100%

  = 4114/14320 × 100% ≈ 28.729%

Supriya's investment had an effective yield of 28.729%.

Answer:

40%

Step-by-step explanation:

8 out of 20 are green so the fraction would be 8/20 then reduced to 2/5 which is 4/10 and 4/10 is 40%

Answer:

X > 3.8

Step-by-step explanation:

x +2 > 5.8

x +2 -2 > 5.8 -2

x > 3.8

Answer:

x > 3.8

Step-by-step explanation:

Just solve the inequality like an equation:

x + 2 > 5.8

    -2    -2

x > 3.8

So then x can be any number greater than 3.8.

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

Learn more about volume at:
#SPJ1

$11.99Answer:

Step-by-step explanation: 71.94÷6=11.99

(a) The probability that O1 gets the Volvo is  3/10 .

(b) The probability that O2 or O5 will get the Volvo is 1/2  .

In the question ,

it is given that ,

the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort,  Lexus,  Nissan, the Taurus, and the Volvo .

From the given data , the table formed is shown below .

From the table , we can observe that ,

O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities

O2 will not drive the Taurus​ . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities

O3 will not drive the Lexus or Volvo​ . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities

O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities

O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .

The  20 possible arrangements for E,L,N,T,V are :

{ (O2, O1, O3, O4, O5),  (O2, O1, O3, O5, O4),  (O2, O1, O4, O3, O5),  

(O2, O5, O3, O1, O4),  (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),  

(O3, O1, O2, O4, O5),  (O3, O1, O2, O5, O4),  (O3, O1, O4, O5, O2),  

(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1),  (O3, O5, O2, O1, O4),  

(O3, O5, O2, O4, O1),  (O3, O5, O4, O1, O2),  (O4, O1, O2, O3, O5),

(O4, O1, O3, O5, O2),  (O4, O2, O3, O1, O5),  (O4, O2, O3, O5, O1),  

(O4, O5, O2, O3, O1),  (O4, O5, O3, O1, O2)  }

Part(a)  : The probability that O1 gets the Volvo is = 6/20 = 3/10 .

and

Part(b) :

Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .

= 4/20 + 6/20

= 10/20 = 1/2 .

Therefore , the required probability for (a)  is 3/10 and for (b) is 1/2  .

Learn more about Probability here

https://brainly.com/question/21976495

#SPJ4

Answer:

\(\displaystyle y' = \frac{-2}{x \ln (10)[\log (x) - 2]^2}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Derivative Rule [Basic Power Rule]:

Derivative Rule [Quotient Rule]:                                                                           \(\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}\)

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle y = \frac{\log (x)}{\log (x) - 2}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Follows are the solution to this question:

Step-by-step explanation:

a) The difference between the temperatures is 5°c.

b) We will see that at midday, the temperature is 12°C.

We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.

a) First we want to find the difference between the temperatures, we can compute that directly:

T' - T = -3°C - (-8°C) = 5°C

This means that the temperature increased 5°C in that time interval.

b) At midday, the temperature was 9°C higher than at 5am, this means that:

T'' - T' = 9°C

T'' - 3°C = 9°C

Now we can solve this for T''

T'' = 9°C + 3°C = 12°C

At midday, the temperature is 12°C.

If you want to learn more about temperature.

https://brainly.com/question/25290815

#SPJ1

All of the above is wrong with Liam’s method and is therefore denoted as option D.

What is a Checkbook?

This is defined as a book containing blank checks to be drawn on a bank. The available and checkbook balance may vary especially if not all checks haven't been drawn.

The problem with Liam’s method therefore include the following:

Read more about Checkbook here https://brainly.com/question/10138203

#SPJ2

Answer:

(5x)^2=5x^2

Step-by-step explanation:

you just remove the parenthsis.

Answer:

C: 4

Step-by-step explanation:

The second number is always the first times 4

Answer:

4

Step-by-step explanation:

If you divide the numbers they will ALL equal 4. Have a good day <3

Answer: -0.75

Please mark mine as brainliest

Answer:

\(m=\frac{-3}{4}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in your 2 coordinates into the slope formula to find slope m:

\(m=\frac{1-7}{6-(-2)}\)

\(m=\frac{-6}{6+2}\)

\(m=\frac{-6}{8}\)

\(m=\frac{-3}{4}\)

Answer:

Step-by-step explanation:

b 35

The quotient of the numbers are:

Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:

Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:

The quotient expressed in scientific notation is:

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

\(\frac{50 + 30 + 100 + 25 + 40}{5}\)

\(= \frac{245}{5}\)

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

To know more about Compound interest visit:

brainly.com/question/14295570

#SPJ1

Therefore, the only interesting rectangular box has dimensions 3 x 3 x 6.

Area is a measure of the size of a two-dimensional surface or region, typically expressed in square units, such as square meters or square feet. It is the extent or measurement of a surface or region, often described as the amount of space inside the boundaries of a two-dimensional shape.

Here,

Let's assume the dimensions of the rectangular box are a, b, and c, where a is the length, b is the width, and c is the height. We can set up the equation:

2ab + 2ac + 2bc = abc

Simplifying, we get:

2(ab + ac + bc) = abc

Dividing both sides by 2abc, we get:

1/a + 1/b + 1/c = 1/2

Since a, b, and c are integers, we know that each of them must be greater than or equal to 2. Without loss of generality, assume that a ≤ b ≤ c. Then, we have:

1/a + 1/b + 1/c ≤ 3/a

Therefore:

3/a ≥ 1/2

So, a ≤ 6. Let's try each value of a from 2 to 6:

a = 2: 1/b + 1/c = 1/4, so b + c = 4b c. We can see that there are no integer solutions for b and c in this case.

a = 3: 1/b + 1/c = 1/2, so b + c = 2b c. The only integer solution is b = 3, c = 6, so the dimensions are 3 x 3 x 6.

a = 4: 1/b + 1/c = 3/8, so b + c = 8b c/3. There are no integer solutions for b and c in this case.

a = 5: 1/b + 1/c = 3/10, so b + c = 10b c/3. There are no integer solutions for b and c in this case.

a = 6: 1/b + 1/c = 2/9, so b + c = 9b c/2. There are no integer solutions for b and c in this case.

To know more about area,

https://brainly.com/question/22469440

#SPJ1

Complete Question

The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?

Answer:

The probability is  \(P( 0.48 < p < 0.54 ) = 0.77\)  or  \(P( 0.48 < p < 0.54 ) = 77\%\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  400

    The population proportion is  p = 0.51

Generally the standard deviation of this sampling distribution is mathematically represented as

          \(\sigma = \sqrt{\frac{p(1-p)}{n} }\)

=>      \(\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }\)

=>      \(\sigma = 0.02499\)

Generally the lower limit for the range of the population proportion within 0.03 is

    \(a = p - 0.03\)

=>\(a = 0.51 - 0.03\)

=>\(a = 0.48\)

Generally the  upper  limit for the range of the population proportion within 0.03 is

    \(b = p + 0.03\)

=>\(a = 0.51 + 0.03\)

=>\(a = 0.54\)

Generally the  probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as

     \(P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )\)

=>   \(P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )\)

\(\frac{\^ p -p }{\sigma }  =  Z (The  \ standardized \  value\  of \  \^ p )\)

=>   \(P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )\)

=>   \(P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )\)

From the z table  the area under the normal curve to the left corresponding to  1.2 and  -1.2  is

     \(P( Z < 1.2) =0.88493\)

and  

    \(P( Z < -1.2) =0.11507\)

So

   \(P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507\)

=>  \(P( 0.48 < p < 0.54 ) = 0.77\)

Answer:

24.06................

Answer:

B

Step-by-step explanation:

\(( - 20.16) + ( - 3.9) \\ \)

=

\( - 20.16 - 3.9\)

=

\( \frac{ - 1203}{50} or - 24.06\)

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches