What equation is equivalent to (1/3)^x = 27^x+2?

Answer:

Yes

Step-by-step explanation:

-3(-3) = 9

Product of two negatives is positive

Answer:

yes, -3 is a solution of -3x = 9

Step-by-step explanation:

substitute -3 for x in the equation

-3x = 9

-3*-3 = 9

9 = 9

since 9 does in fact equal 9, the answer is yes!

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer:

Step-by-step explanation:

3x^2 - x + 4 and 2x- 4x^2 - 7

3x^2 - x + 4 = no solution

2x- 4x^2 - 7 = no solution

Answer:

Your answer would be number 1

Answer:

1

Step-by-step explanation:

1 x 3 = 3

3 + 4 = 7

Answer:

JKM is acute and MKL is obtuse

Step-by-step explanation:

because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°

Answer:

True

Step-by-step explanation:

:) Hope this helps ! x

True,  A translation maps each point to its image along a vector called the translation vector.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A translation maps each point to its image along a vector called the translation vector

Example:

A = (2, 4) translated vertically up with 2 units.

The image of A = (2, 4 + 2) = (2, 6).

The translation vector is the 2 units.

Thus,

A translation maps each point to its image along a vector called the translation vector

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Answer:

1. B

2. A

3. C

Step-by-step explanation:

The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]

Answer:

in Right triangles you can use this formula to find altitude by using two parts which altitude has made on the base

H² = b¹ × b²

So using this formula (which can be proven by triangle similarity) can help us to find x

10² = 4x × x ===>> x =5

True, the estimated p-hat is a random variable and will vary slightly with different samples.

The estimated p-hat is the proportion of successes in a sample, used to estimate the population proportion. As it is calculated based on a sample, the p-hat will vary slightly with different samples. This is because each sample is unique and may not perfectly represent the population. Therefore, the estimated p-hat is considered a random variable. However, as the sample size increases, the variability in the p-hat decreases, leading to a more accurate estimate of the population proportion.

In summary, the estimated p-hat is a random variable and will vary slightly with different samples. It is important to consider the sample size when interpreting the variability of the p-hat and its accuracy in estimating the population proportion.

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Answer:

y=3

Step-by-step explanation:

12y-4y=8y

8y=24

÷8. ÷8

y=3

Answer:

(-3,2)

Step-by-step explanation:

The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.

In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of

(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s

There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives

(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h

Answer:

Tank A and Tank D

Step-by-step explanation:

Got it right

The tanks that have the capacity more than 90 cu.ft is Tank A and C.

Volume is the amount of space occupied by a three dimensional object, it is represented in cubic units.

The volume of a Cylinder is given by

V = πr²h

The Volume of a Cone is given by

V= πr²h/3

The volume of the composite figure in Tank A and D,

Volume =  Volume of cylinder + Volume of Cone

Tank A :

Volume =  πr²h + πr²h/3

Volume = ( π * 2.5² * 4 ) + ( π *2.5² *2 )/3

Volume = 91.58 cu.ft

Tank B :

Volume =  πr²h/3

Volume =  π * 4² *5 /3

Volume = 83.7 cu.ft

Tank C

Volume = πr²h

Volume = π * 2² * 6

Volume = 75.36 cu.ft

Tank D:

Volume =  πr²h + πr²h/3

Volume = π * 3²*3 + π *3²* 3 /3

Volume = 113.04 cu.ft

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In order to determine how much does Allison pay for her utilitites, it is only necessary to calculate the percentage associated to utilities, given in the table (2.3%) of the Allison's earns ($6,500).

For calculating the 2.3% of 6,500, you simply multiply (2.3/100) by 6,500, just as follow:

(2.3/100)(6,500) = 149.5

Then, the 2.3% of $6,500 is $149.5. Hence, Allison pay $149 for her utilities

a) The exact real interest rate is approximately -5.75%.

b) The exact real interest rate is approximately 4.24%.

c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

Step by step:

a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:

R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575

Therefore, the exact real interest rate is approximately -5.75%.


b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424

Therefore, the exact real interest rate is approximately 4.24%.


c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238

Therefore,  

d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985

Therefore, the exact real interest rate is approximately -99.85%.

e) From the results obtained, we can draw the following conclusions about interest rates and inflation:

- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.

- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.

- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.

- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.

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The firm has been hiring employees at a rate of 27.5% per year.

In this question, we are given a table to interpret in the template given in the lecture for Ch Six, Section 6.The question for us to answer is:
\begin{tabular}{|l|l|l|l|} \hline Year & Sales (\( x \) 1000\$) & Labor (\( x \) 1000\$) & Capital (\( x \) 1000\$) \\ \hline 1995 & 50 & 10 & 40 \\ \hline 1996 & 65 & 15 & 45 \\ \hline 1997 & 70 & 18 & 52 \\ \hline 1998 & 90 & 20 & 60 \\ \hline 1999 & 120 & 25 & 70 \\ \hline 2000 & 135 & 30 & 80 \\ \hline 2001 & 148 & 35 & 90 \\ \hline 2002 & 155 & 40 & 100 \\ \hline \end{tabular}

Table 6.3 provides us with information on the sales, labor, and capital of a firm over the years 1995-2002.

To determine the rate at which employees are being hired, we need to use labor costs as a proxy for the number of employees. We can calculate the growth rate of labor costs for the period 1995-2001 as follows: \begin{align*}\text{Growth rate} = \frac{\text{Ending value}}{\text{Beginning value}}^{1/\text{Number of years}}-1\end{align*}Using this formula, we get: \begin{align*}\text{Growth rate} = \frac{35}{10}^{1/6}-1 = 1.275-1 = 0.275 = 27.5\%\end{align*}

Therefore, the firm has been hiring employees at a rate of 27.5% per year.

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The time to complete 2 levels is (c) 60 minutes

The table of values is given as

Number of Levels     Time (hours)

2                                         ?

3                                         1.5

Express the blank (?) with y

Number of Levels     Time (hours)

2                                          y

3                                         1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

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To hide the last two rows in a table view in Swift and set their row heights to 0, you can modify the table view's delegate method `heightForRowAt` for the respective rows.

In Swift, you can achieve this by implementing the UITableViewDelegate protocol's method `heightForRowAt`. Inside this method, you can check if the indexPath corresponds to the last two rows (in this case, rows 9 and 10). If it does, you can return a row height of 0 to hide them from the view. Here's an example of how you can write this logic:

```swift

func tableView(_ tableView: UITableView, heightForRowAt indexPath: IndexPath) -> CGFloat {

   let numberOfRows = tableView.numberOfRows(inSection: indexPath.section)

   if indexPath.row == numberOfRows - 2 || indexPath.row == numberOfRows - 1 {

       return 0

   }

   return UITableView.automaticDimension

}

```

In the above code, `tableView(_:heightForRowAt:)` is the delegate method that returns the height of each row. We use the `numberOfRows(inSection:)` method to get the total number of rows in the table view's section. If the current `indexPath.row` is equal to `numberOfRows - 2` or `numberOfRows - 1`, we return a height of 0 to hide those rows. Otherwise, we return `UITableView.automaticDimension` to maintain the default row height for other rows.

By implementing this logic in the `heightForRowAt` method, the last two rows in the table view will be effectively hidden from the view by setting their row heights to 0.

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Answer:

See below

Step-by-step explanation:

a) To add the binary numbers 1010101₂ and 10011₂, we perform the addition as follows:

  1010101

+  10011

_________

 1100110

So, the sum of 1010101₂ and 10011₂ is 1100110₂.

b) To subtract the binary number 101010₂ from 1110011₂, we perform the subtraction as follows:

  1110011

-   101010

__________

   100001

So, the difference between 1110011₂ and 101010₂ is 100001₂.

c) To multiply the binary numbers 10010₂ and 11001₂, we perform the multiplication as follows:

    10010

 × 11001

__________

   10010     (Partial product: 10010 × 1)

+ 000000    (Partial product: 10010 × 0, shifted one position to the left)

+1001000    (Partial product: 10010 × 1, shifted two positions to the left)

__________

 1101110010

So, the product of 10010₂ and 11001₂ is 1101110010₂.

d) The given number 1001110₂ is incomplete, and there is no specific operation mentioned to be performed on it. Please provide additional information or specify the operation you want to perform on the number for a more accurate response.

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Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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a) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ 2π), and rho_s = 0 elsewhere are Erec = 0 and V = 0.

b) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ π/2), and rho_s = 0 elsewhere are Erec = 0 and V = 0.

a) In this case, the surface charge density rho_s is nonzero only within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ 2π. Since the point Prec is located at z = 1, which is above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Similarly, since the electric field is zero, the potential is also zero at Prec.

b) In this case, the surface charge density rho_s is nonzero within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ π/2. Again, since the point Prec is located at z = 1, above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Consequently, the potential at Prec is also zero.

In both cases, the contributions from the surface charge distribution rho_s to the electric field and potential at Prec are zero due to the specific location of Prec with respect to the surface charge distribution.

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Answer:

1<-4

Step-by-step explanation:

Answer:

-3 > -4 i believe i hope this helps!!

Step-by-step explanation:

Answer:

store A is cheaper

Step-by-step explanation:

All right. If you divide Store A's numbers like so,

3.45 / 12, you'd get about 0.28, which is the average cost per one donut at store A.

For store B, if you divided,

2.40/8, you'd get 0.30, which is the average cost per one donut at store B, which means that store A is cheaper!

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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Answer:

x = 5.5

y = - 6.5

Step-by-step explanation:

Let one of the numbers = x

Let the other number = y

x + y = - 1

x = y + 12    Put the second equation into the first one

y + 12 + y = - 1       Subtract 12 from both sides

y + y = - 1 - 12        Combine both left and right sides

2y = - 13                Divide by 2

2y/2 = - 13/1

y = - 6.5

x + y = - 1

x - 6.5 = - 1            Add 6.5 to both sides

x = 5.5

Answer:

a difference of 32.8 points

Step-by-step explanation:

231.2 - 198.4

Answer:

9/7

Step-by-step explanation:

-24/35 ÷ -8/15

=-24/35 × -15/8

=9/7

Answer:

9/7

Step-by-step explanation:

when dividing with a fraction, the -8/15 reciprocates to 15/-8. Then, -8 cancels out -24 remaining with 3 since they are both negative while 15 and 35 have a common of 5 giving them a remainder of 3 and 7 respectively. you then multiply what you have which is 3/7 * 3/1 giving you 9/7.