Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. ​

Answer:

Rewrite as an equation.

log

9(729)=x

Rewrite

log

9(729)=x

in exponential form using the definition of a logarithm. If

x and b

are positive real numbers and b

does not equal 1, then log b(x)=y is equivalent to by=x. 9x=729

Create expressions in the equation that all have equal bases.

(32)x=3

Rewrite

(32)x as 32x. 32x=36

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2 x 3=6

Solve for

x.x=3

The variable  x

is equal to

3.3

Step-by-step explanation:

The expression not equal to 729 is 6³

Exponents, also known as powers, are values that show how many times to multiply a base number by itself. For example, 43 is telling you to multiply four by itself three time:4³= 4 × 4 × 4 = 64

Given here  3⁶= 3×3×3×3×3×3

                        = 729

                    6³ = 6×6×6

                         = 216

                    9³ = 9×9×9

                         = 729

Hence 6³ is the expression not equal to 729

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Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

\(f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\\)

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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The volume of the remaining piece of ice cube is 6911.5 cubic cm

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

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Correlation analysis is meant to determine the strength of a linear

relationship between variables.

The complete question is as below:-

Which of the following statements is true of the correlation analysis? The null hypothesis for the Pearson correlation coefficient states that there is always a strong association between two variables. The larger the correlation coefficient, the weaker the association between two variables. The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero. The Pearson correlation coefficient measures the degree of linear association that ranges from 1.0 to 10.0. The Pearson correlation coefficient measures the degree of linear association between three variables.

Correlation analysis is a test to determine the presence and or amount of relationship that exists between variables.

During a hypothesis test aimed at determining the existence of a correlation between variables, the null and alternative hypotheses are as follows;

The null hypothesis, H₀: There are no relationships between the variables

H₀: r = 0

The alternative hypothesis, Hₐ: The variables have an association

Hₐ: r ≠ 0

Therefore, the true statement of the correlation analysis is; The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.

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Answer:

b

Step-by-step explanation:

increasing means the curve goes up.

between what values of x did this curve do that ?

I see the tendency to go up stays at x = -1 and ends at x = +3.

before and after these x-values the function is decreasing (going down).

and directly at these points the slope of the tangent is 0 (a horizontal line), so the function is neither increasing nor decreasing there. therefore we need to exclude the actual points from the interval (so, we use only "<" or ">" as symbols).

so, b is the correct answer.

A- The average rate of change of g(x) over the interval [-2, 2] is 4, B- the instantaneous rates of change at the endpoints are different from the average rate of change over the interval.

A) To find the average rate of change of the function g(x) over the interval [-2, 2], we need to compute the difference quotient:

average rate of change = [g(2) - g(-2)] / [2 - (-2)]

First, we find the values of the function at the endpoints of the interval:

g(-2) = \(-2^{3}\) - 6 = -14

g(2) = \(2^{3}\) - 6 = 2

Substituting these values into the

average rate of change = (2 - (-14)) / (2 - (-2)) = 16 / 4 = 4

Therefore, the average rate of change of g(x) over the interval [-2, 2] is 4.

B) To compare this rate with the instantaneous rates of change at the endpoints of the interval, we need to find the derivatives of the function at x=-2 and x=2 using the power rule of differentiation:

g'(x) = 3\(x^{2}\)

g'(-2) = 3\(-2^{2}\) = 12

g'(2)  = 12

The instantaneous rate of change at x=-2 is 12, and the instantaneous rate of change at x=2 is also 12. These values are equal to the average rate of change over the interval [-2, 2], which is 4.

This means that the function g(x) is not a linear function over the interval [-2, 2], and the instantaneous rates of change at the endpoints are different from the average rate of change over the interval.

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Answer:

She can get 2

Step-by-step explanation:

2 multiplied by 35 equals 70 and 3 multiplied by 35 is 1.05 so Ellen can only get 2 apples

Hope it helps :)

Brainliest pls? Have a good day/night

Answer:

Part-To-Whole

Step-by-step explanation:

Part--> 6:18 <--- Whole.

Answer:

Part to Whole

Step-by-step explanation:

Greetings!

Ratios are very simple, if you need help with them at some point, message me!

Since Christian has 18 teeth in all, and 6 of them are tiger teeth, the correct ratio would be 6:18, which is the second response, part-to-whole.

If you want to go even further, you can simplify this ratio and make it smaller (simplify!)

You would get 1:3

Happy Learning!

Answer:

0

if you move all the x to one side then the real numbers to the other then divide that shold give you your answer

Answer:

4.25+8=17/4+32/4=49/4 or 12.25

The general indefinite integral of 6 \(\sqrt{(x^7)}\ is\ 4/15(x^15/2) + C\). By making the substitution u = x^3 + 39, the integral of \(x^2\sqrt{(x^3 + 39)}\) dx becomes 1/9\((u^{2/3})\) + C.

To find the general indefinite integral of 6\(\sqrt{(x^7)}\), we can use the power rule for integration, which states that ∫\(x^n\) dx = \((1/(n+1))x^{n+1} + C\), where C is the constant of integration. Applying this rule, we have ∫6\(\sqrt{(x^7)}\) dx = 6∫\((x^7)^{1/2}\) dx = 6 * (2/9)\((x^{7/2})\) + C = 4/15\((x^{15/2})\) + C.

Now, let's evaluate the integral ∫x^2√(x^3 + 39) dx by making the substitution u = \(x^3\) + 39. Taking the derivative of u with respect to x gives du/dx = \(3x^2\). Rearranging this equation, we have dx = (1/3x^2) du. Substituting this back into the integral, we get ∫\(x^2\sqrt{(x^3 + 39)}\) dx = ∫\((x^2)(u^{1/2}) * (1/3x^2)\) du = (1/3)∫\(u^{1/2}\) du.

Integrating u^(1/2) with respect to u using the power rule, we have (1/3) * \((2/3)(u^{3/2}) + C = 2/9(u^{2/3}) + C\). Substituting back u = x^3 + 39, the final result is \(2/9(x^3 + 39)^{2/3} + C\).

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Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A.M.?

Answer is 18

hope this helps

Answer:

128

Step-by-step explanation:

512/4

Answer:

a = 8 cm, as cube root of 512 is 8. The side lengths (edges) are 8 cm.

Step-by-step explantation

8 cubic feet = 2 feet 512 cubic feet.

First you  Multiply your length, width and height figures together, giving you a total in cubic inches (in3)Divide the total by 512 (as there are 512 cubic inches in a cubic foot) it equals to 8 meaning your answer is correct. I f not it wrong and I already look this this up its 8

The maximum number of automobile registrations that the police may have to check is 42.

The witness stated that the license number consists of the letters LH followed by 5 digits, with the first three digits being 9, 3, and 6, and all three digits being different. To find the maximum number of automobile registrations the police may have to check, we need to consider the possible combinations for the last two digits. Since all three digits are different, we have 7 remaining digits to choose from (0, 1, 2, 4, 5, 7, 8) for the fourth digit, and 6 remaining digits for the fifth digit.

The number of possible combinations is obtained by multiplying the number of choices for each digit: Number of combinations = Number of choices for the fourth digit * Number of choices for the fifth digit = 7 * 6 = 42. Therefore, the maximum number of automobile registrations that the police may have to check is 42.

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Answer:

$15.00

Step-by-step explanation:

2 hours is $30

divide by 2

1hr is $15

Answer:

D

Step-by-step explanation:

d is incorrect because it's saying the vertical (x) is over the horizontal change (y) and we know that's wrong because it's y/x or rise/run

The option that does not correctly refer to the slope of a line is:

a. m = \(\frac{x_2-x_1}{y_2-y_1}\)

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

The slope of a line:

a.

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

The slope formula is:

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

So,

m = \(\frac{x_2-x_1}{y_2-y_1}\) is not correct.

b. it represents the steepness of a line.

The slope of a line is the steepness of the given line on the graph.

It is correct.

c. m = rise/run

The slope can also be termed as rise/run.

It is correct.

d. it is the ratio of the vertical change to the horizontal change​

The slope of a line is given as:

m = Vertical change / Horizontal change

It is correct.

Thus,

The option that does not correctly refer to the slope of a line is:

a. m = \(\frac{x_2-x_1}{y_2-y_1}\)

Option A is the correct answer.

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Answer:

The answer is 5/6.

Step-by-step explanation:

If both the numbers are mixed then,

(5 1/3) - (4 1/2)

= {(3*5)+1}/3  -  {(2*4)+1}/2

= (16/3) - (9/2)

= (32-27)/6

= 5/6

Hope this helps.

Answer:

Im late but i was doing the assignment and got A

Step-by-step explanation:

Option A is correct, ∠JXM  and  ∠NXP  are complementary is the true statement.

An angle is formed when two straight lines or rays meet at a common endpoint.

There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN

It is shown that ∠MXN is a right angle i.e. 90°.

Then, sum of angle on this line is 180°.

∠JXM + ∠NXP + ∠MXN = 180°

∠JXM + ∠NXP + 90° = 180°

∠JXM + ∠NXP = 180° — 90°

∠JXM + ∠NXP = 90°

From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).

Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary

Hence,  ∠JXM  and  ∠NXP  are complementary is the true statement.

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According to the information given, the equation that represents the situation is 6c - 1200 = 240.

What is a quadratic equation?

Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

The total costs are:

 $240 in taxes and trips.

 6 nights at the hotel, each night with a cost of c, hence 6c

Then:

T = 6c + 240

The budget is of $1200, hence, since the total cost is equals to the budget:

T = 1200

6c + 240 = 1200

Rearranging:

6c - 1200 = 240

Hence, according to the information given, the equation that represents the situation is 6c - 1200 = 240.

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The explicit formula is an= 4.2* \((0.85)^{n-1}\).

The correct option is (b)

The explicit formula for a geometric sequence is of the form an = a1r-1, where r is the common ratio.

Given sequence:  {4.2, 3.57, 3.0345, 2.5793, …}

General formula \(a_n= ar^{n-1}\)

an=4.2* \((17/20)^{n-1}\)

an= 4.2* \((0.85)^{n-1}\)

Hence, an= 4.2* \((0.85)^{n-1}\)

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Answer:

\(\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}\)

Step-by-step explanation:

We know that the surface area is the sum of the area of the prism's faces.

It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:

\(\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )\)

A model has been drawn of the rectangular prism. (image)

Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:

\(\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})\)

\(\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}\)

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The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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a. the sampling distribution is  \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. The probability that the sample proportion is within 0.03 of the population proportion is 0.4101.

c. The probability that the sample proportion is within 0.03 of the population proportion for a sample of 200 households is 0.7738.

a. The sampling distribution of the sample proportion, \(\bar p\), can be approximated by a normal distribution with mean equal to the population proportion, p, and standard deviation equal to the square root of \([(p \times (1-p)) / n]\),

where n is the sample size.

Given that p = 0.17 and assuming a large enough sample size, we can use the formula to calculate the standard deviation of the sampling distribution:

Standard deviation = \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. To find the probability that the sample proportion will be within a certain range of the population proportion, we need to calculate the z-score for the lower and upper bounds of that range and then find the area under the normal curve between those z-scores.

Let's say we want to find the probability that the sample proportion is within 0.03 of the population proportion. This means we want to find

P(\(\bar p\)- p ≤ 0.03) = P((\(\bar p\)-- p) / \(\sqrt{[(p \times (1-p)) / n]}\) ≤ 0.03 / \(\sqrt{[(p \times (1-p)) / n]\)

We can use the standard normal distribution and z-scores to find this probability:

\(z_1\) = (0.03 / \(\sqrt{(0.17 \times (1-0.17)/n}\))

\(z_2\) = (-0.03 / \(\sqrt{(0.17 \times (1-0.17))/n}\))

We can find the probability that the z-score is between \(z_1\) and \(z_2\):

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.541 ≤ Z ≤ 0.541) = 0.4101

c. To answer part (c), we need to specify the sample size. Let's say we are taking a sample of 200 households.

Using the formula for standard deviation of the sampling distribution from part (a), we get:

Standard deviation = \(\sqrt{(0.17 \times(1-0.17)) / 200}\) = 0.034

Now we can repeat the same steps as in part (b) with this standard deviation:

\(z_1\) = (0.03 / 0.034)

\(z_2\) = (-0.03 / 0.034)

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.882 ≤ Z ≤ 0.882) = 0.7738

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The location of the circumcenter, of the obtuse triangle, which is the center of the circle that inscribes the triangle is at a point lower than the base of the triangle, and therefore, outside the triangle, because the angle of the arc formed by the base at the center is larger than 180°, which is the angle formed by the diameter/ The correct option is option c.

c. Outside the triangle

The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle.

The location of the circumcenter can be inside the triangle, outside the triangle, or on the triangle.

The circumcenter is located on the inside of an acute triangle, while it is located on the hypotenuse side of a right triangle.

The circumcenter is the location of the center of the circle that circumscribe the triangle, such that in an acute triangle, the angle at the center (twice the angle at the circumference), is always less than 180°, which is the angle made by the diameter, which keeps the diameter line and the circumcenter, passing inside the triangle.

However, in an obtuse triangle, the angle at the center, is larger than 180°, such that the line joining the base of the triangle, inscribed in the circle is located above the diameter, and therefore, located above the circumcenter.

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Answer:

Yes

Step-by-step explanation:

Yes, the lines represented by the equations y=x-3 and x-y=8 are parallel. To see why, you can write both equations in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. For the equation y=x-3, the slope is 1 and the y-intercept is -3. For the equation x-y=8, you can solve for y to get y=x-8, so the slope is also 1 and the y-intercept is -8. Since the slopes are equal, the lines are parallel.

The requried after three hours, the temperature was -2°F.

Starting from -17°, the temperature rose 5°F per hour for 3 hours, so the temperature increase is:

5°F/hour × 3 hours = 15°F

To get the temperature after 3 hours, we add the temperature increase to the starting temperature:

-17°F + 15°F = -2°F

Therefore, after three hours, the temperature was -2°F.

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