The following frequency table shows the number of fish caught by each of Igor's family members. Number of fish Number of family members 0 0 1 3 2 1 3 0 4 4 What was the minimum number of fish that a family member caught?

Answer: We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have:

a = -10

b = 24

c = ?

Using the Pythagorean theorem, we can solve for c:

c^2 = a^2 + b^2

c^2 = (-10)^2 + 24^2

c^2 = 676

c = sqrt(676)

c = 26

Therefore, the length of the missing side of the right triangle is 26 units.

The length of the missing side of the right triangle is 26.  To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

The formula is:

[tex]c² = a² + b²[/tex]

In this problem, a = 10 and b = 24. To find the length of the missing side (the hypotenuse, c), we can plug these values into the formula:

c² = 10² + 24²
c² = 100 + 576
c² = 676

Now, we take the square root of both sides to find the length of the missing side:

c = √676
c = 26

So, the length of the missing side (the hypotenuse) of the right triangle is 26.

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The mathematical expression for the probability density function of the sales price is PDF(x) = 1/30,000 for 200,000 <= x <= 230,000.

Based on your question, we want to find the mathematical expression for the probability density function (PDF) of the sales price, given that the price is uniformly distributed between $200,000 and $230,000.

The function f(x) represents this probability density function, where the height of the function is 1/3000 (the width of the range of possible prices is 30,000, so the area under the function must equal 1), and it is 0 outside of that range.

For a uniform distribution, the probability density function is constant across the given range. To find the value of this constant, we can use the formula:

PDF(x) = 1 / (b - a)

where a is the lower limit of the range ($200,000), b is the upper limit of the range ($230,000), and x represents the sales price.

This is because the executive believes that the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and $230,000, which means that the probability is equal.

Plugging in the values, we get:

PDF(x) = 1 / (230,000 - 200,000)
PDF(x) = 1 / 30,000

So the mathematical expression for the probability density function of the sales price, if she leaves the house on the market for another month, is:

PDF(x) = 1/30,000 for 200,000 <= x <= 230,000

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The number of seeds Kerri plants is a multiple of 8

From the question, we have the following parameters that can be used in our computation:

Kerry plants some sunflower seeds in equal rows of 8 seeds each.

Represent the number of rows with x

So, the number of seeds is

Seed = 8x

This means that the number of seeds Kerri plants is a multiple of 8

And examples are 8, 16, 24, 32 and so on

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Answer:

g = 13/4 or 3.25

Step-by-step explanation:

Step 1:  First we can distribute the 2 on the right-hand side (rhs) of the equation:

[tex]\frac{2*5-2*g}{3}\\\\ \frac{10-2g}{3}[/tex]

Step 2:  We can also rewrite this fraction since we have two inverse operations, namely multiplication and division:

[tex]\frac{10}{3}+\frac{-2g}{3}\\ \\ \frac{10}{3}-\frac{2g}{3}\\ \\ \frac{10}{3}-\frac{2}{3}g[/tex]

Step 3:  We can convert both sides into whole numbers by multiplying both sides by the least common denominator (lcd), which is essentially the lowest multiple shared by the denominators 6 and 3.

The lowest multiple shared by the two numbers is 6 as 6*1 = 6 and 3*2 = 6

Thus, we multiply both sides by 6:

left-hand side (lhs)

[tex]\frac{7}{6}*\frac{6}{1}\\ \\ \frac{42}{6}\\ \\ 7[/tex]

right-hand side (rhs)

[tex](\frac{10}{3}-\frac{2}{3}g)*\frac{6}{1}\\ \\ (\frac{10}{3}*\frac{6}{1})+(-\frac{2}{3}g*\frac{6}{1})\\ \\ \frac{60}{3}-\frac{12}{3}g\\ \\ 20-4g[/tex]

Since we have simplified both sides, we can now solve for g:

[tex](7=20-4g)-20\\(-13=-4g)/-4\\13/4=g\\3.25=g[/tex]

You can keep the mixed number or use the decimal answer as both are the same answer in different forms.

For such a problem, it can be helpful to check by plugging in 3.25 for g in the equation

[tex]\frac{7}{6}=\frac{2(5-3.25)}{3}\\ \\ \frac{7}{6}=\frac{2(1.75)}{3}\\ \\ \frac{7}{6}=\frac{3.5}{3}\\\\ 1.167=1.167[/tex]

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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The confidence interval around the sample mean value is (31.66, 35.26). This means that we can be 95% confident that the true mean age of all Native American inmates in state correctional facilities falls within this range.

Based on the information provided, the mean age of Native American inmates in state correctional facilities is 33.46, which is higher than the mean age of the entire inmate population (31.84). However, because this is only a sample of Native American inmates, we need to calculate a confidence interval to estimate the true mean age of all Native American inmates in state correctional facilities.

To create a 95% confidence interval, we will use the formula:

Confidence Interval = Sample Mean +/- (Critical Value x Standard Error)

The critical value for a 95% confidence interval with 111 degrees of freedom (n-1) is 1.98. The standard error can be calculated using the formula:

Standard Error = Standard Deviation / Square Root of Sample Size

Plugging in the values, we get:

Standard Error = 9.62 / Square Root of 112 = 0.91

Confidence Interval = 33.46 +/- (1.98 x 0.91) = 33.46 +/- 1.80

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The linear equation on the graph is the one in option D:

3y +x = -6

On the given graph, we can see a linear equation that passes through the the y-axis at the value y = -2

Then the line is of the form:

y = ax - 2

Where a is a negative value.

Also, notice that each 3 units moved in x, there is a decrease of 1 unit in the y-value, then the slope is -1/3, the line is:

y = (-1/3)*x - 2

We can rewrite that as:

3y = -x - 6

3y +x = -6

Then we can see that the correct option is D.

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The average residential electrical power use refers to the amount of electrical energy consumed by households. It is typically measured in hundreds of watts per hour. By examining the provided table, you can identify the specific values for average power consumption in a residential setting.

According to the given table, the average residential electrical power use is measured in kilowatt-hours (kWh) per month, not hundreds of watts per hour. However, to convert it to the requested unit, we can divide the monthly average by the number of hours in a month (720 hours) and then multiply by 100 to get the average residential electrical power use in hundreds of watts per hour.

So, for example, if the monthly average is 600 kWh, the hourly average would be (600 kWh / 720 hours) x 100 = 83.33hundreds of watts per hour.

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The test statistic and p-value for the slope of the regression line are t = 26 and p-value = 0.00.

Based on the given information, the analysis is focused on determining whether there is a linear relationship between GRE score and the chance of admission. The pattern observed in the scatterplot shows a linear pattern in the data, indicating a potential linear relationship between the two variables.

To test this hypothesis, a regression analysis was performed, which yielded a coefficient table with estimates for the intercept and slope of the regression line. The p-value for the slope test was found to be 0.00, which suggests strong evidence for a significant linear relationship between GRE score and the chance of admission.

Furthermore, a 95% confidence interval for the slope was calculated, which did not include the null value of zero. This means that we can reject the null hypothesis and conclude that there is a linear relationship between the GRE score and the chance of admission.

In summary, based on the analysis and statistical tests performed, there is evidence to support a linear relationship between the GRE score and the chance of admission.
The test statistic and p-value for the slope of the regression line are t = 26. ,an  p-value = 0.00.
A 95% confidence interval for the slope on the line is (0.01, 0.01). Since 0 is not found in the confidence interval and our alternative hypothesis is two-sided, we reject the null hypothesis and conclude that there is a linear relationship between GRE score and the chance of admission.

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The option that is the correct form after substituting a, b, and c into the quadratic formula is; x = (-7 ± √(7² - 4·(1)·(8)))/((2)·(1))

The quadratic formula which can be used to solve the quadratic equation of the form f(x) = a·x² + b·x + c = 0

The quadratic formula is; x = (-b ± √(b² - 4·a·c))/(2·a)

The quadratic equation x² + 7·x + 8 = 0, evaluated using the quadratic formula can be expressed as follows;

The values of a, b, and c obtained from the specified quadratic equation are; a = 1, b = 7, and c = 8, therefore;

x = (-7 ± √(7² - 4×1×8))/(2×1)

The correct option is therefore; x = (-7 ± √(7² - 4×1×8))/(2×1)

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C. The more reliable survey would be: Tamira's survey is more reliable than Denise's survey, and approximately 1,500 residents of the town would likely be in favor of the construction of a new baseball stadium.

Tаmirа's survеy is mоre reliаble bеcаusе shе survеyed rеsidеnts frоm diffеrеnt sectiоns оf thе town, whiсh is а mоre representаtive sаmple оf thе entire populаtiоn. Denise's survеy, оn thе othеr hаnd, wаs cоnducted аt а bаsebаll gаme, whiсh might hаve introduced а biаs towаrds people who аre mоre likеly to bе in fаvor оf thе new stаdium.

Bаsed оn Tаmirа's survеy, 30 out оf 150 rеsidеnts (20%) аre in fаvor оf thе cоnstructiоn.

If we extrаpolаte this percentаge to thе entire populаtiоn оf 7,500 rеsidеnts, we cаn estimаte thаt аpproximаtely 1,500 rеsidеnts (20% оf 7,500) would likеly bе in fаvor оf thе new bаsebаll stаdium.

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The expressions are simplified to;

1. x = 118

4. 88

5. 123

Percentage can simply be defined as the fraction between a given value and hundred.

It is represented with the symbol, '%'

Also note that algebraic expressions are expressions with factors, variables, constants, terms and coefficients.

From the information given, we have that;

1. x increased by 25%

x + 25%, then decreased by 15%

x + 2. 5 - 1.5 = 119

collect the like terms

x = 118

4. x + 25% + 15% = 92

x + 2.5 + 1.5 = 92

collect like terms

x = 88

5. x - 35% - 20% = 117

x - 3.5 - 2.5 = 117

collect the like terms

x = 117 + 6

x = 123

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The solution is : 140 cm of the original piece is left after Joe cuts three pieces.

Given that,

Given the piece of string

3.5m

As we know that

3.5m = 350 cm

so the length of a piece of string = 350 cm

As joe cuts three pieces from it, and each 70 cm long.

so the total length of three pieces which were

cut by joe = 70cm + 70cm + 70cm = 210 cm

So, subtracting the total length of the three pieces that were cut from the total length of the string:

350 cm - 210 cm = 140 cm

Therefore, 140 cm of the original piece is left after Joe cuts three pieces from it.

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complete question:

A piece of string is 3-5 m long. Joe cuts three pieces from it,

each 70 cm long. How much of the original piece is left?​

The height of the right triangular prism whose surface are is 480 square inches is equal to 9 inches.

Total surface area of the right prism = 480 square inches

Surface area of a right triangular prism is,

S = 2B + Ph

where S is the surface area,

B is the area of the triangular base,

P is the perimeter of the base,

and h is the height of the prism.

First, area of the triangular base.

Use the formula for the area of a triangle,

B = (1/2)bh

where b is the base of the triangle

and h is the height of the triangle.

⇒ B = (1/2) × 8 × 15

⇒ B = 60 in²

Since the base is a right triangle,

Use the Pythagorean theorem to find the length of the third side,

c² = 8² + 15²

⇒ c² = 64 + 225

⇒ c² = 289

⇒ c = 17

Perimeter of the base is,

⇒ P = 8 + 15 + 17

⇒ P = 40 inches

Surface area of right prism = 480

⇒ 2B +Ph = 480

⇒ 2×60 + 40h = 480

⇒40h = 480 - 120

⇒ h = 360 /40

⇒ h = 9 inches.

Therefore, the height of the right prism is equal to 9inches.

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Answer:

​

Answer: x>1

Step-by-step explanation:

9x-3>6

move the 3 over so: 9x>6+3, 9x>9

divide both sides by 9: (9x)/9>9/9, x>1

and bam, that's your answer x>1

If quadrilateral RSTU is reflected across the line x = 1, then the coordinates of R’, S’, T’, and U’ are (-3, 2), (-2, 4), (-3, 6) and (-4, 4) respectively.

To reflect a point across the line x = 1, we can use the formula (2a - x, y), where (a, b) is the original point and x = 1 is the line of reflection.

Using this formula, we can find the coordinates of the reflected points as follows:

The x-coordinate of the line of reflection is 1, so the new x-coordinate for each point will be 2(1) - x = 2 - x.

The y-coordinate for each point will remain the same.

Therefore, the reflected coordinates are:

R' = (2(1) - 5, 2) = (-3, 2)

S' = (2(1) - 4, 4) = (-2, 4)

T' = (2(1) - 5, 6) = (-3, 6)

U' = (2(1) - 6, 4) = (-4, 4)

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Answer:

23/28

Step-by-step explanation:

1/4 + 4/7

make them have same denominator of 28

7/28 + 16/28

=23/28

Answer:

23/28

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:  D

Step-by-step explanation:

A) Incorrect.  The y-intercept is when x=1  for f(x) the y-intercept is (0, -1)

    For g(x) the y-intercept is (0, 1)

B) Incorrect.  There are 2 points that are the same (-1, 0) and (1,0), not 2 points

C) Incorrect.  the min value for f(x) is -1 but there are smaller numbers for g(x)

D) Correct.  The x-intercepts are the same 2 points that intersect discussed in B

Answer:

A) Incorrect.  The y-intercept is when x=1  for f(x) the y-intercept is (0, -1)    For g(x) the y-intercept is (0, 1)B) Incorrect.  There are 2 points that are the same (-1, 0) and (1,0), not 2 pointsC) Incorrect.  the min value for f(x) is -1 but there are smaller numbers for g(x)D) Correct.  The x-intercepts are the same 2 points that intersect discussed in B

Step-by-step explanation:

Blaise will make $1575 at the end of weeks on his personal pay schedule.

Step 1: determine the number of days in weeks

They're five working days in a per week, so then there are a total of 10 working days in a weeks.

Step 2: Calculate Blaise's profits for every day

using the given pay schedule, Blaise's profits for the primary 10 days would be:

Day 1: $115

Day 2: $125

Day 3: $135

Day 4: $145

Day 5: $155

Day 6: $165

Day 7: $175

Day 8: $185

Day 9: $195

Day 10: $205

Step 3: Now we will addition of Blaise's profits

adding up the profits from the first 10 days, we get:

$115 + $125 + $135 + $145 + $155 + $165 + $175 + $185 + $195 + $205 = $1575

Therefore On his own pay plan, Blaise will earn $1575 at the end of each week.

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Based on the given information, I assume that you have a dataset and you are required to identify an appropriate transformed model for it. There are different types of transformations that can be applied to data such as logarithmic, square root, power, etc. The choice of the transformation depends on the nature of the data and the research question being addressed.

To identify an appropriate transformed model, you can start by examining the distribution of the response variable. If the distribution is skewed or has heavy tails, a transformation may be necessary to normalize the data. One way to assess the distribution is by creating a histogram or a density plot of the response variable.

Once you have identified an appropriate transformation, you can fit the transformed model to the data using regression analysis. The regression model will include the transformed response variable and one or more predictor variables.

After fitting the model, it is important to conduct the usual tests of model adequacy to ensure that the model is appropriate for the data. These tests include examining the residuals for normality, checking for homoscedasticity (i.e., equal variances), and testing for outliers and influential observations.

In summary, identifying an appropriate transformed model involves examining the distribution of the response variable and choosing a transformation that normalizes the data. Once the model is fitted, the usual tests of model adequacy should be conducted to ensure that the model is appropriate for the data.

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Hackman Corporation will record interest expense of $58822 on each interest payment date for the life of the bonds.

Hackman Corporation issued$ 1 million face value 12 bonds dated January 1, 2019, for$. The bonds pay interest semiannually on June 30 and December 31 and are due December 31, 2023. Hackman uses the straight- line amortization  system to  regard for the bond  decoration. The periodic  decoration amortization is$ 2,300, and the semiannual  decoration amortization is$ 1,150.

Annual effective interest rate = (Face value of the bonds × Coupon rate) / Issue price of the bonds

Annual effective interest rate = ($1,000,000 × 12%) / $1,023,000 = 11.76%

Effective interest rate for the period = (1 + (11.76% / 2))^(6 / 12) - 1 = 5.75%

Interest expense = $1,023,000 × 5.75% = $58,822.50

Therefore, the amount of interest expense that Hackman Corporation should recognize on June 30, 2019, is approximately $58,822.50.

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True. The mathematical equations that describe simple harmonic motion (SHM) involve sine and cosine functions. For example, if the block is released at a distance from its equilibrium position, its displacement x varies with time t according to the equation x = a cos(ωt), where ω is the angular frequency of the motion.

True. Due to the periodic properties of Simple Harmonic Motion (SHM), the mathematical equations that describe this motion involve sine and cosine functions. If the block is released at a distance A from its equilibrium position, its displacement x varies with time t according to the equation:

x(t) = A * cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle. Both sine and cosine functions are used to describe the displacement, velocity, and acceleration of an object in SHM because of their periodic nature.

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Answer: L = 2 * (x + y) = 120

We frame the questions using the provided information:

1a. To help Max devise an equation for the area (A) of their campsite in terms of x and y, first recall that the area of a rectangle is given by the formula A = length * width.

Let x represent the length of the campsite and y represent the width. Now, write an equation for the area (A) in terms of x and y.

Answer: A = x * y

1b. To help Max devise an equation for the length of the yellow caution tape (L) in terms of x and y, first consider that the length of the tape should be equal to the perimeter of the campsite. The perimeter of a rectangle can be found using the formula P = 2 * (length + width). In this case, the length of the yellow caution tape (L) is given as 120 ft.

Let x represent the length of the campsite and y represent the width.

Write an equation for the length of the yellow caution tape (L) in terms of x and y.

Answer: L = 2 * (x + y) = 120

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The coefficient of determination is a statistical measure that indicates the proportion of variability in the dependent variable that can be explained by the independent variable(s) in a regression model. It is also known as R-squared and is expressed as a fraction between 0 and 1. The closer the value is to 1, the better the fit of the model.

The coefficient of determination can be thought of as the fraction of variability that can be accounted for by the slope of the regression model. The slope is the change in the dependent variable per unit change in the independent variable. In other words, it represents the rate of change in the dependent variable due to a change in the independent variable.

Therefore, a higher coefficient of determination means that a larger proportion of the variability in the dependent variable is explained by the slope of the regression model. This is important because it provides information on the accuracy and usefulness of the model. If the coefficient of determination is low, it may indicate that the model is not a good fit for the data and needs to be revised.
In conclusion, the coefficient of determination is a crucial measure in regression analysis that helps to assess the proportion of variability in the dependent variable that can be explained by the slope of the regression model. It is expressed as a fraction between 0 and 1 and provides important information on the accuracy and usefulness of the model.
In other words, it represents the proportion of the total variability in the dataset that the model is able to explain.

The coefficient of determination ranges from 0 to 1, with values closer to 1 indicating that the regression model is better at explaining the variability in the data. When interpreting R-squared, keep in mind that a higher value doesn't always imply a good model, as it can sometimes be due to overfitting.

To calculate R-squared, you would first fit a regression model to your data. The regression model typically consists of a slope, which represents the rate of change between the independent variable (x-value) and dependent variable (response), and an intercept, which is the point where the regression line crosses the y-axis.

Once the model is fit, you can compute the sum of squares due to regression (SSR) and the total sum of squares (SST). The coefficient of determination is then found by dividing SSR by SST.

R-squared = SSR / SST

By understanding the coefficient of determination, you can evaluate the effectiveness of a regression model in accounting for the variability in the data and make informed decisions based on its performance.

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The value of x in the similar triangle is 4.5 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Using the proportional relationship of the similar triangles,

3 / x = 9 / 9 + 4.5

3 / x = 9 / 13.5

cross multiply

13.5 × 3 = 9x

40.5 = 9x

divide both sides by 9

x = 40.5 / 9

x = 4.5

Therefore,

x = 4.5 units.

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The building is 51 feet tall

The value of x is 1.5

The length of the building is solved by comparing the building's height by John's height as this forms similar triangles

The comparison is done using the proportions as below

John's shadow / John's height = building's shadow / building's height

6 / 4.5 = 68 / building's height

cross multiplying

building's height x 6 = 4.5 * 68

building's height = 4.5 x 68 / 6

building's height = 51 feet

Solving for x

Using proportions

15 / 10 = 23x / 20x - 8

cross multiplying

(20x - 8) * 15 = 22x * 10

300x - 120 = 220x

300x - 220x = 120

80x = 120

x = 1.5

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Answer:

The answer is D

Step-by-step explanation:

You just find the cubed root of each value (ex. the cubed root of 27 is 3)

To check your answer, give x y and z value (I did x=2 y=3 and z=4)

Then solve both equations (your answer and the original equation)

If it matches you are right

The solution is,  the distance between the two points to the (nearest tenth if nessacery) (7,3) (5,-4) is √53.

Here, we have,

We have information on the hypotenuse, now we must calculate the sides.

we have find the distance between the two points to the (nearest tenth if nessacery) (7,3) (5,-4)

we know that,

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Using the x-coordinates of the points of the hypotenuse we obtain

7- (5) = 2

Using the y-coordinates of the points of the hypotenuse we obtain

3 - (-4) = 7

Now lets graph

Distance

d = √2² + 7²

  =√53

The distance would be √53.

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The Explanation for product of powers rule works and multiply exponents when raising a power to a power is shown below.

1. We know,

When the terms with the same base are multiplied, the powers are added.

So, 7² x 7³

Here the base is same (7) and multiplication applied here then the powers get added.

So, [tex]7^{2+3[/tex]

= [tex]7^5[/tex]

2. Now, According to the power to the power rule, when a base is raised to a higher power, the two powers are multiplied while the base stays the same.

So, (7²)³

= [tex]7^{2 .3}[/tex]

= [tex]7^6[/tex]

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Answer:

option c

might not be congruent

Step-by-step explanation:

as the triangles that have three pairs of congruent angles i.e. AAA might not have the sides of the same length.

so, AAA is not a congruence rule or congruent postulate