Please solve this exponential equation 3^2x-4(3^x+1)+27=0

The quantity of turnips that Gabrielle bought would be = 17 5/8 pounds

The weight of an object is defined as the quantity of matter that is contained in that object which is usually measured in pounds.

The weight of a bag of parsnips (X )= 3 3/4 pounds

The weight of a bag of turnips = 4 7/10 (X)

Therefore the quantity of turnips that she bought is calculated as follows:

4 7/10 × 3 3/4

Change the above mixed fractions to a single fraction.

= 47/10 × 15/4

= 705/40

= 17 5/8 pounds.

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Answer:

9

Step-by-step explanation:

18 + 18 is like 36 divied by 2 is 18 then dvide that by two is 9 so 9

Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2

1,800

Step-by-step explanation:100x36=3,600/2=1,800

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

For comparing three treatments using a one-way fixed effects model, the required sample size (n) is 2.5088

we need to consider the desired power level, significance level, effect size (∆), and the variance (σ²). In this scenario, we want at least 80% power at the 5% significance level, with treatment means that differ by 100 - ∆, 100, and 100 + ∆, where ∆ = 5. The variance is given as σ² = 10.

To calculate the sample size, we can use power analysis based on the F-test. The formula for sample size in this case is:

n = 2 * [(Zα/2 + Zβ)² * σ²] / ∆²

where Zα/2 is the critical value for the desired significance level (5% or 0.05), and Zβ is the critical value for the desired power level (80% or 0.80).

Plugging in the values, we get:

n = 2 * [(1.96 + 0.84)² * 10] / 5²

n = 2 * [(2.80)² * 10] / 25

n = 2 * 7.84 * 10 / 25

n = 6.272 * 10 / 25

n = 2.5088

Rounding up to the nearest whole number, the required sample size (n) is 3.

Therefore, the sample size must be at least 3 in order to achieve at least 80% power at the 5% significance level for comparing the three treatments using a one-way fixed effects model.

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Answer: The zeroes are -2/3 and 4

Step-by-step explanation: The factored form you get from this is (3x+2) and (x-4), set these equal to 0. x-4=0 and 3x+2=0.

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

f(x) = 3x² – 10x – 8

Then the zeroes of the function are given as,

f(x) = 0

3x² – 10x – 8 = 0

3x² – 12x + 2x – 8 = 0

3x(x – 4) + 2(x – 4) = 0

(x – 4)(3x + 2) = 0

x = 4, - 2/3

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

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x=-20/13 and y=77/13 are solutions of 5x+4y=-16 and y= 2x+9

Two or more expressions with an Equal sign is called as Equation.

The two equations are

5x+4y=-16 ...(1)

Five x plus 4 y equal to minus sixteen.

y= 2x+9 ...(2)

y equal to two times of x plus nine.

Substitute 2 in 1.

5x+4y=-16

5x+4(2x+9)=-16

5x+8x+36=16

13x+36-16=0

13x+20=0

13x=-20

x=-20/13=-1.53

substitute the value of x in y.

y=2(-20/13)+9

y=(-40+117)/13

y=77/13

Hence the value of x is -20/13 and y value is 77/13.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

x = 11 ; y =13

Step-by-step explanation:

3x - 2 y = 7    -------------(I)

        y = x + 2  -----------(II)

Substitute y = x + 2 in equation (I)

3x - 2(x + 2) = 7

3x - 2*x + 2*(-2) = 7

3x - 2x - 4 = 7

      x - 4 = 7

           x = 7 + 4

x = 11

Plugin x = 11 in equation(II)

y = 11 + 2

y = 13

A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.

Sampling technique refers to the method of selecting or choosing members from the given set of population.

Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.

For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.

Therefore, Option A is the correct answer.

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The measure of the angles are;

X = 38 degrees

Y = 52 degrees

To determine the angles, we need to know the properties of a kite.

These properties includes;

Then, we can say that;

Y= 52 degrees

Note that the sum of the angles in a triangle is 180

Then, we get;

X + Y+ 90 = 180

X = 180 - 142

Subtract the values

X = 38 degrees

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Distance = 400h miles

Answer: I think it is x<-13

Step-by-step explanation:

cause an open circle in math means that it is greater than or less that (with a line is a closed circle without a line is an open circle. and inbtween -12 and -14 is -13 and going to the side it is it will be less than

Answer:

7/6

Step-by-step explanation:

approximately 0.032 Amperes of current are required to deposit 0.231 grams of zinc metal in 524 seconds from a solution containing Zn²+ ions.

To determine the number of amperes required to deposit a certain amount of metal, we can use Faraday's law of electrolysis, which states that the amount of substance deposited is directly proportional to the charge passed through the solution.

The equation for Faraday's law is:

Moles of Substance = (Charge / Faraday's constant) * (1 / n)

Where:

- Moles of Substance is the amount of substance deposited or produced

- Charge is the electric charge passed through the solution in coulombs (C)

- Faraday's constant is the charge of 1 mole of electrons, which is 96,485 C/mol

- n is the number of electrons transferred in the balanced equation for the electrochemical reaction

In this case, we are depositing zinc (Zn), and the balanced equation for the deposition of Zn²+ ions involves the transfer of 2 electrons:

Zn²+ + 2e- -> Zn

Given:

- \(Mass of zinc deposited = 0.231 grams\)

- \(Time = 524 seconds\)

First, we need to calculate the moles of zinc deposited:

Molar mass of zinc (Zn) = \(65.38 g/mol\)

\(Moles of zinc = Mass / Molar mass\)

\(Moles of zinc = 0.231 g / 65.38 g/mol\)

Next, we need to calculate the charge passed through the solution using Faraday's law:

Charge (Coulombs) = Moles of zinc * Faraday's constant * n

\(Charge = (0.231 g / 65.38 g/mol) * 96,485 C/mol * 2\)

Now, we can calculate the current (amperes) by dividing the charge by the time:

Current (Amperes) = Charge / Time

Current = [(0.231 g / 65.38 g/mol) * 96,485 C/mol * 2] / 524 s

Calculating this, we find:

Current ≈ \(0.032 A (Amperes)\)

Therefore, approximately 0.032 Amperes of current are required to deposit 0.231 grams of zinc metal in 524 seconds from a solution containing Zn²+ ions.

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Loan repayment: Each semiannual payment is $879.92.

Machine cost: The equivalent uniform annual cost is $6,541.34.

Loan Repayment:

1. Calculate the semiannual interest rate: Divide the annual interest rate (8%) by the number of compounding periods per year (2) to get the semiannual interest rate (4%).

2. Calculate the number of compounding periods: Since the loan is repaid in four equal semiannual payments, there are a total of eight compounding periods (4 years x 2).

3. Calculate the present value factor: Use the formula for the present value of an annuity to calculate the present value factor for eight periods at a semiannual interest rate of 4%.

4. Determine the payment amount: Divide the loan amount ($3000) by the present value factor from step 3 to find the equal semiannual payment.

Machine Cost:

1. Calculate the semiannual interest rate: Divide the annual interest rate (8%) by the number of compounding periods per year (2) to get the semiannual interest rate (4%).

2. Calculate the number of compounding periods: Since the useful life of the machine is 6 years and compounding occurs semiannually, there are a total of 12 compounding periods (6 years x 2).

3. Calculate the future value factor: Use the formula for the future value of a single sum to calculate the future value factor for 12 periods at a semiannual interest rate of 4%.

4. Determine the equivalent uniform annual cost: Subtract the future value of the machine ($9,000) from the initial cost of the machine ($30,000) and divide by the future value factor from step 3 to find the equivalent uniform annual cost.

By following these steps and performing the calculations, you will determine the semiannual payment for the loan and the equivalent uniform annual cost of the machine.

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Considerando la multiplicando una fracción por un entero, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

Para multiplicar una fracción por un número entero, se debe tener en cuenta que cualquier entero n puede ser escrito como la fracción \(\frac{n}{1}\).

Luego, se multiplican los denominadores para obtener el denominador final y se multiplican los numeradores para obtener el numerador final. Es decir, en la multiplicación de fracciones se multiplican los numeradores de las fracciones y aparte los denominadores.

Para preparar un pastel, se necesita 1/3 de un paquete de 750 g de azúcar, 3/4 de un paquete de harina de kilo (1000 g), 3/5 de una barra de mantequilla de 200 g. Esto es:

Considerando la multiplicando de una fracción por un entero y resolviendo se obtiene:

Finalmente, las cantidades que se necesitan para preparar el pastel son 250 gramos de azúcar, 750 gramos de harina y 120 gramos de mantequilla.

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Answer:

option no D. (-4,13) because zero ka Koi value Nahi hota hai or one ka bhi utna value nahi hota hai OK

Answer:

x = 12

Step-by-step explanation:

From the question given above, the following data were obtained:

m < EDG = 112°

m < EDH = 6x – 9

m < HDG = 4x + 1

x =.?

Thus, we can obtain the value of x as shown below:

m < EDG = m < EDH + m < HDG

112 = 6x – 9 + 4x + 1

112 = 6x + 4x – 9 + 1

112 = 10x – 8

Collect like terms

112 + 8 = 10x

120 = 10x

Divide both side by 10

x = 120/10

x = 12

Therefore, the value of x is 12.

Answer:

Step-by-step explanation:

D) The student is not correct; a pair of adjacent angles must share a common vertex, share a side, and not overlap have to

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

5/6

Step-by-step explanation:

1/2 + 1/3 You first multiply 1/2 by 3 and 1/3 by 2

3/6 + 2/6 then you add

5/6

Step-by-step explanation:

1/2 + 2/3

find the LCM of 2 and 3

LCM =6

1/2 + 2/3

(you'll divide 6 by the denominator and multiply by the numerator)

denominator= the figure down(2 &3)

numerator= the figure up (1 & 2)

= 3/6 +4/6

=7/6

For the playpen area to be 1000 square feet and perimeter to be 150 feet, the length of the playpen should be at least 17.35 feet and at most 57.66 feet .

In the question ,

it is given that ,

the shape of the playpen = rectangle .

the perimeter of the playpen = 150 feet

let the length of the playpen = x feet

let the width of the playpen = y feet

So , 2(x + y) = 150

an , the area of the playpen = 1000

x*y = 1000

So , y = 1000/x

Substituting y = 1000/x  in the perimeter ,

we get ,

2(x + 1000/x ) = 150

x² + 1000 = 75x

x² - 75x + 1000 = 0

Applying Quadratic Formula , we get

x = [ -(-75) ± √(-75)² - 4*1*1,000]/2*1

on simplifying further ,

we get ,

x = 57.66 or 17.35

Therefore , For the playpen area to be 1000 square feet and perimeter to be 150 feet, the length of the playpen should be at least 17.35 feet and at most 57.66 feet .

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Answer:

$33600

Step-by-step explanation:

Let x = original car price

Since it is a 25% profit that means we multiply x by 1.25

1.25x = 42000

Divide both sides by 1.25

1.25x/1.25 = 42000/1.25

x = 33600

Answer: 1:4 x - 12 = 8. 4x−12=8. Add 12 to both sides. Add 12 to both sides.

2: 4x=8+12. 4x=8+12. Add 8 and 12 to get 20. Add 8 and 12 to get 20.

3: 4x=20. 4x=20. Divide both sides by 4. Divide both sides by 4.

4: x=\frac{20}{4} x=420​ Divide 20 by 4 to get 5. Divide 20 by 4 to get 5.

Answer:

Domain: [-5, 8]

Step-by-step explanation:

Range is the set of y-values that are outputted by function f(x).

We see that our y-values span from -5 to 8. Since both are closed dots, they are included in the range:

[-5, 8] or -5 ≤ x ≤ 8

Answer:

I hope this helps please name me brainliest

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

root of 49 is 7

as we know 7 * 7 is 49

also -7 * -7 is 49

so yeah that's the r8 answer

Both the Red and Yellow lines are lines of symmetry, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Lines of symmetry in a figure are lines that divide the figure into equal parts.

The given figure is a square as we observe the four sides are equal in the given shape.

In a square, there are four lines of symmetry, each of which divides it into two identical parts.

The symmetry lines of a square are both its diagonals and the lines joining the midpoints of its opposite sides (bisectors).

In the given Figure, the Red lines cuts the shape into 2 equal halves vertically and the Yellow line cuts the shape into 2 equal halves diagonally.

Hence, both the Red and Yellow lines are lines of symmetry, Option D is correct.

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