Please help asap I will mark brainliest

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

To factor expressions of form a\(x^{2}\) + bx + c, we can examine the signs of the constants to determine where to place the signs in the factors. We need to find factor pairs of 'a' and 'c' that produce 'b'.

When factoring expressions of the form a\(x^{2}\) + bx + c, we break down the expression into two binomial factors. To do this, we need to consider the signs of the constants 'a', 'b', and 'c'. The sign of 'a' will determine whether the factors start with positive or negative signs, while the sign of 'c' will determine the signs of the constant terms within the factors.

Next, we look for factor pairs of 'a' and 'c' that, when combined, yield 'b'. By finding the appropriate factor pairs, we can write the expression as the product of two binomial factors. Additionally, during the factoring process, it is essential to recognize special patterns that may emerge, such as perfect squares or the difference of squares.

These patterns can simplify the factoring process and provide a clear structure for the factors. By carefully considering the signs of the constants, identifying factor pairs, and recognizing any special patterns, we can factor expressions of the form a\(x^{2}\) + bx + c.

Learn more about factors here: https://brainly.com/question/14452738

#SPJ11

-6.75  is a rational number.

Let us understand about natural, whole, integer, rational, and irrational numbers one by one.

Natural number:

Natural numbers are numbers that start from 1 and end at infinity. These are non-negative numbers.

Whole number:

Whole numbers are numbers that start from 0 and end at infinity.

We can also natural numbers including 0 is known as whole numbers.

These are non-negative numbers.

Integer:

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Rational number:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.

Also, the decimal representation of the rational number is terminating and recurring.

Irrational number:

An irrational number is a number that can not be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.

Also, the decimal representation of the irrational number is non-terminating and non-recurring.

The given number is -6.75.

The decimal form is terminating.

So, it is a rational number.

Thus, -6.75  is a rational number.

To learn more about rational number visit:

https://brainly.com/question/24398433

#SPJ9

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

To know more about, line calculator, visit

https://brainly.com/question/30763905

#SPJ11

Answer:

4^5/4^2

Step-by-step explanation:

4^5/4^2 = 4^3

All the others are equal to 1 / 4^3.

Answer:

All the following expressions are equal expect

\(\dfrac{4^{5}}{4^2}\)

Step-by-step explanation:

\(\sf \dfrac{1}{4^3}\\\\\dfrac{4^2}{4^5}=\dfrac{1}{4^{5-2}}}=\dfrac{1}{4^3}\\\\4^{-3}=\dfrac{1}{4^{3}}\)

But,

     \(\sf \dfrac{4^5}{4^2}=4^{5-2}=4^{3} \ which \ differs \ from \ other \ three \expressions\)

Exponnet law:

\(\sf a^{-m} =\dfrac{1}{a^m}\\\\ \dfrac{a^{m}}{a^{n}}=a^{m-n} , \ if \ m > n\\\\\dfrac{a^{m}}{a^n}=\dfrac{1}{a^{n-m}}, \ if \ m < n\)

An iterative procedure is used to find the root of a nonlinear equation.

The absolute relative approximate error is found to be 0.004%. The number of significant digits that are correct can be calculated as follows: Suppose that r is the actual root, and x is the approximation that has been obtained. Then, the absolute error is :abs(r-x)And, the relative error is: abs(r-x)/r Hence, the absolute relative approximate error (arae) can be written as follows:|r - x|/|r| = 0.004%, which implies |r - x| = 0.004% |r| Divide both sides by

|r|:|r - x|/|r| = 0.00004|r|/|r| - |x|/|r| = 0.00004,

Divide both sides by 0.00004:|x|/|r| - 1 = 0.00004,

This can be rewritten as:|x| = |r| (1 + 0.00004),

Thus, the number of significant digits that are at least correct can be calculated using the following formula:

log10 (|x|/|r|) = log10 (1.00004) ≈ 0.00004

There is at least one significant figure in the answer.

To know more about nonlinear visit:

https://brainly.com/question/29299980

#SPJ11

The ways to select the players from the total is 167960

From the question, we have

Total number of players, n = 20

Numbers to selection, r = 11 players

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 20 and r = 11

Substitute the known values in the above equation

Total = ²⁰C₁₁

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 20!/(11! * 9!)

Evaluate

Total = 167960

Hence, the number of ways is 167960

Read more about combination at

brainly.com/question/11732255

#SPJ1

Answer:

Top Left: Acute Top Right: Acute Bottom Right: Obtuse Bottom Left: Right

Step-by-step explanation:

The top left and right have all angles less than 90 degrees which makes them acute. The Bottom right has an angle over 90 degrees which makes it obtuse, and the last one has a right angle 90 degrees.

Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

According to the given question.

Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235

Therefore,

The amount of money charged by Eddie for packing and sealing packs of 480 pens

= 480 × $0.235

= $112.8

Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

Find out more information about unitary method here:

https://brainly.com/question/22056199

#SPJ3

A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.

The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.

The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.

The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.

To learn more about bell-shaped histogram please click on below link        

https://brainly.com/question/1291520

#SPJ4

Answer:

4 pack priced at £2.04 is the better pack

Step-by-step explanation:

2.04/4=£0.51 per roll

4.68/9=£0.52 per roll

I think the 9pack is better

I hope it was helpful to you

Ea = (8.314 / 1000) * (ln(0.360 / 0.915)) / (1 / (727 K) - 1 / (375 K))

Calculating the above expression will give us the activation energy in kilojoules per mole (kJ/mol).

To calculate the activation energy (Ea) of a reaction using the rate constants at different temperatures, we can use the Arrhenius equation:

k = A * e^(-Ea / (R * T))

Where:

k is the rate constant

A is the pre-exponential factor

Ea is the activation energy

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

Given:

k1 = 0.360 min^(-1) at 375 K

k2 = 0.915 min^(-1) at 727 K

Taking the natural logarithm of both sides of the Arrhenius equation, we have:

ln(k1) = ln(A) - (Ea / (R * T1))

ln(k2) = ln(A) - (Ea / (R * T2))

Subtracting the second equation from the first, we get:

ln(k1) - ln(k2) = (Ea / (R * T2)) - (Ea / (R * T1))

ln(k1/k2) = Ea / R * (1 / T2 - 1 / T1)

Now we can rearrange the equation to solve for Ea:

Ea = R * (ln(k1/k2)) / (1 / T2 - 1 / T1)

Converting the gas constant R to kJ/(mol·K), which is the desired unit for activation energy, by dividing by 1000, we have:

Ea = (8.314 J/(mol·K) / 1000) * (ln(k1/k2)) / (1 / T2 - 1 / T1)

Now, we can plug in the values and calculate the activation energy Ea:

Ea = (8.314 / 1000) * (ln(0.360 / 0.915)) / (1 / (727 K) - 1 / (375 K))

To know more about dividing visit:

brainly.com/question/15381501

#SPJ11

In the given scatter plot, the point (3, 9) is stated to be outside of the cluster. An outlier is a data point that significantly deviates from the overall pattern or trend of the other data points.

Considering this information, the point (3, 9) would be considered an outlier since it is explicitly mentioned to be outside of the cluster. The other points mentioned, (1, 5), (5, 4), and (9, 1), are not specified as being outside the cluster in the provided information.

Identifying outliers in a scatter plot typically involves analyzing the data points in relation to the general pattern and distribution of the other points. In this case, the fact that (3, 9) stands out from the rest of the data indicates that it is an outlier.

For such more question on distribution

https://brainly.com/question/29368683

#SPJ8

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative thus point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5).

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative.

As shown below,

The purple line makes an acute angle (less than 90 °) thus slope will be positive and the blue line makes an obtuse angle (greater than 90°) thus the slope is negative.

Hence "point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5)".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ1

Answer:

89°C

Step-by-step explanation:

I think it is just a case of subtraction. Remove the °C and just treat it as 85 - -4

Answer:

89°

Step-by-step explanation:

85° - (-4°) = 89°

The dimensions that yield the minimum surface area of the open-top square-based, rectangular metal tank that will have a volume of 48.5 ft³ are:

The dimensions of an area, which is a two-dimensional object, refer to the length and the width.

On the other hand, the dimensions of the volume refer to the length, width, and height.

The volume of the square-based rectangular tank = 48.5ft³.

The length of each side of the surface area = 3.6468 ft (∛48.5ft)

Check:

Volume = height x length x width

= 3.6468 x 3.6468 x 3.6468

= 48.499 ft³

= 48.5 ft³

Thus, the dimensions of the surface area include the length and the width without the height.

Learn more about dimensions and areas at https://brainly.com/question/27404871

#SPJ1

A rectangular prism with a length of 9.3 centimeters, width of 5.9 centimeters, and height of 4.4 centimeters. The volume is 241.428 cu. cm (Option b).

The formula to calculate the volume of a rectangular prism is

V= l × w × h.

Here, l, w, and h represent the length, width, and height of the prism respectively. The length, width, and height of the rectangular prism are as follows:

Length (l) = 9.3 cm

Width (w) = 5.9 cm

Height (h) = 4.4 cm

Therefore, the formula to calculate the volume of the rectangular prism is:

V= l × w × h

On substituting the given values in the formula, we get

V = 9.3 × 5.9 × 4.4V = 241.428 cu. cm

Hence, the volume of the rectangular prism is 241.428 cubic centimeters. Option b is the correct answer.

Note: Always remember the formula V = l × w × h to calculate the volume of a rectangular prism.

You can learn more about volume at: brainly.com/question/28058531

#SPJ11

4 (20 + 4)

Step-by-step explanation:

4 x 24 = 96

4 (20 + 4)

(4 x 20) + (4 x 4)

80 + 16 = 96

The component of the data that a data analyst is most interested in is sample size.

Given,

To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;

The data analyst;

A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.

Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.

Here,

A data analyst's primary interest in the data is sample size

Learn more about data analyst here;

https://brainly.com/question/29457065

#SPJ4

The probability that both marbles are red is 0.33

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

P(A) = Number of favorable outcomes/ total no. of possible outcomes

We have the information from the question:

Total marbles are there in bag is = 6

Red Marbles = 2

Green Marbles = 2

Yellow Marbles = 2

To find the probability that both marbles are red.

Now, According to the question:

The probabilities that are desirable for our cases are:

P(RR) = 2/6 = 1/3 = 0.33

Hence, The probability that both marbles are red is 0.33

Learn more about Probability at:

https://brainly.com/question/11234923

#SPJ1

Step-by-step explanation:

3.3rd option

4.1st option

5.x=-10

6.x=6

7.109

8.75

9.24

10.19

(a) To find the partial derivatives, we differentiate the function f(x, y) with respect to x and y while treating the other variable as a constant.

fx(x, y) = d/dx [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8x(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2x)) / (x^2 + y^2)^2]

          = [(8x^3 + 8xy^2 - 8x^3 - 4x^2y - 8xy^2) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

fy(x, y) = d/dy [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8y(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2y)) / (x^2 + y^2)^2]

          = [(8xy^2 + 8y^3 - 8xy^2 - 4x^2y - 8y^3) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

(b) To find fx(0, 0) and fy(0, 0), we substitute x = 0 and y = 0 into the partial derivative expressions:

fx(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

fy(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

(c) Both partial derivatives, fx(x, y) and fy(x, y), are continuous at every point in the set {(x, y): (x, y) ≠ (0, 0)}.

However, at the point (0, 0), the partial derivatives fx(0, 0) and fy(0, 0) are both 0, indicating that the partial derivatives are continuous at that point as well.

Therefore, the correct answer is (a) Yes, both the partial derivatives are continuous at every point in that set.

To know more about partial derivatives refer here:

https://brainly.com/question/28750217#

#SPJ11

Answer:

-6, -4

Step-by-step explanation:

The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

To know more about the arithmetic mean, visit:

https://brainly.com/question/29445117

#SPJ11

Answer:

3/12 + 239/12 = 20.16...

2309/23 + 32/32= 101.39

34/234 + 349/234=1.64

23/23-11/23= 0.52

57/78-32/78 = 0.32

Step-by-step explanation:

Just divide both sides first and then add, so it is easier to get your answer.

My answers are all rounded or repeated.

I hope this helps!

-No one

Answer/Step-by-step explanation:

3/12 + 239/12

3 + 239 = 242

242/12 = 20 1/6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Find common multiplier

2309/23 + 32/32

Add

2332/23

Mixed Fraction

101 9/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

34/234 + 349/234

23 + 349 = 383

383/234

Mixed Fraction

1 149/234

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

23/23-11/23

23 - 11 = 12

12/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

57/78 - 32/78

57 - 32 = 25

25/78

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer:

1200 miles

Step-by-step explanation:

drives 20 miles every 3 minutes or 20 * 20 = 200 for every hour

200 * 6 = 1200