-1(t+8)=-7.1 solve for t

The first partial derivatives are:

To find the first partial derivatives of the function w = ln(x^8y^9z), we differentiate with respect to each variable separately while treating the other variables as constants.

∂w/∂x:

When differentiating with respect to x, we treat y and z as constants:

∂w/∂x = (∂/∂x) ln(x^8y^9z)

To differentiate ln(u), where u is a function of x, we apply the chain rule:

∂w/∂x = (1/u) * du/dx

In this case, u = x^8y^9z, so:

∂w/∂x = (1/(x^8y^9z)) * (∂/∂x) (x^8y^9z)

Differentiating x^8y^9z with respect to x gives us:

∂w/∂x = (1/(x^8y^9z)) * (8x^7y^9z)

Simplifying:

∂w/∂x = 8x^7y^9z / (x^8y^9z)

∂w/∂x = 8/x

Similarly, we can find the other partial derivatives:

∂w/∂y:

Treating x and z as constants, differentiate x^8y^9z with respect to y:

∂w/∂y = (1/(x^8y^9z)) * (∂/∂y) (x^8y^9z)

∂w/∂y = (1/(x^8y^9z)) * (9x^8y^8z)

∂w/∂y = 9x^8y^8z / (x^8y^9z)

∂w/∂y = 9/y

∂w/∂z:

Treating x and y as constants, differentiate x^8y^9z with respect to z:

∂w/∂z = (1/(x^8y^9z)) * (∂/∂z) (x^8y^9z)

∂w/∂z = (1/(x^8y^9z)) * (x^8y^9)

∂w/∂z = 1/z

Therefore, the first partial derivatives are:

∂w/∂x = 8/x

∂w/∂y = 9/y

∂w/∂z = 1/z

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Answer:

The correct answer is -31.

Step-by-step explanation:

f(-14) means that x=-14. You have to replace x with -14. Then, you multiply -14 by 2. That is -28. Next you subtract 3 from -28. That gives you -31.

The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.

6 squared plus 8 squared is 100, which is 10 squared.

The answer is 10.

Answer:

C. 10

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

a² can be found by multiplying 6 by 6, which is 36

b² can be found by multiplying 8 by 8, which is 64

36 + 64 = 100.

The square root of 100 is 10, you can double-check this because 10 x 10 = 100

Because of this, we know that the line segment BC is equal to 10

I hope this helps :)

Answer:

5÷35 = 1/7× 100

Step-by-step explanation:

P(E)= n(E)÷ n(s)

Answer:

17%

Step-by-step explanation:

Add all of the students up and then form a ratio:

30 students in total; 5 seniors/30 students

5/30 = 1/6 = 16.67%

(I think that's the answer, hope it helps)

Answer:

Step-by-step explanation:

The given statement, "by the Invertible Matrix Theorem if the equation \(Ax^{(0)}\)has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the identity matrix," is true (T).

This is because the theorem states that a square matrix is invertible if and only if it can be transformed into the identity matrix by a sequence of elementary row operations. And if the equation \(Ax^{(0)}\) only has the trivial solution, then the matrix must be row equivalent to the identity matrix, implying that it is invertible.

The Invertible Matrix Theorem is a powerful result in linear algebra that allows us to determine whether a square matrix is invertible or not. It states that a square matrix is invertible if and only if its determinant is nonzero, which is equivalent to saying that the matrix can be transformed into the identity matrix by a sequence of elementary row operations.

If the matrix is not invertible, then its determinant is zero, and it is said to be singular. In this case, the equation \(Ax^{(0)}\) will have infinitely many solutions or no solutions at all, depending on the specific values of the right-hand side vector.

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Answer:

\(f\) = 78

\(g\) = 3.5

Step-by-step explanation:

First we need to find \(f\).

We can use the equation \(72 + (f + 30) = 180\) to solve for \(f\).

We can then change that equation to \(72 + f + 30 = 180\), since the Commutative Property of Addition says that you can have any addition in any order.

Now, we can solve the equation.

\(102 + f = 180\\(102 - 102) + f = 180 - 102\\f = 78\)

Now that we solved \(f\), we can now solve for \(g\).

Since 25 equals \(8g -3\), we can solve the equation \(8g - 3 = 25\).

Here is how you solve it:

\(8g - 3 = 25\\8g + (-3 + 3) = 25 + 3\\8g = 28\\g = \frac{28}{8}\)

Since \(\frac{28}{8}\) equals 3.5, which is the simplest form, that is the answer.

Hope this helps, and please mark me brainliest! :)

Answer:

K=24

B=21

Step-by-step explanation:

x+x-5=43

2x=48

x=24

K=24

B=21

Answer:

24

Step-by-step explanation:

So the only way I think would be possible to get the answer is if you divide 43 by 2 (since Bobbie and Kylie are 2 people) then subtract 5 to get the answer?

Answer:

Below in bold.

Step-by-step explanation:

(a) Using the Pythagoras theorem:

30^2 = 21^2 + p^2

p^2 = 30^2 - 21^2 = 459

p = √459

  = 21.4 cm to nearest tenth.

(b) cos P = 21/30 = 0.70

   m < P = 45.57 degrees to nearest hundredth.

Answer:

a)  p = 21.4 cm (nearest tenth)

B)  P = 45.6° (nearest tenth)

Step-by-step explanation:

As triangle PQR is a right triangle, we can use Pythagoras Theorem to find the length of p.

Pythagoras Theorem

\(a^2+b^2=c^2\)

where:

From inspection of the triangle:

Substitute the given values into the formula and solve for p:

\(\implies 21^2+p^2=30^2\)

\(\implies 441+p^2=900\)

\(\implies 441+p^2-441=900-441\)

\(\implies p^2=459\)

\(\implies \sqrt{p^2}=\sqrt{459}\)

\(\implies p=\pm 3\sqrt{51}\)

As p is the length, p can be positive only.

Therefore, p = 21.4 cm (nearest tenth)

To find the angle P, use the cosine trigonometric ratio.

Cosine trigonometric ratio

\(\sf \cos(\theta)=\dfrac{A}{H}\)

where:

From inspection of the triangle:

Substitute the given values into the formula and solve for P:

\(\implies \sf \cos P=\dfrac{21}{30}\)

\(\implies \sf P=\cos^{-1}\left(\dfrac{21}{30}\right)\)

\(\implies \sf P=45.572996^{\circ}\)

Therefore, the measure of angle P is 45.6° (nearest tenth).

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Answer:

Resultado es dos (2)

Answer:

2

Step-by-step explanation:

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Answer:

27,000 or D

Step-by-step explanation:

30 x 30 x 30 = the answer on edge <3 good luckkk

Answer:

4. 3

5. 5

Step-by-step explanation:

Let x = number of blocks in a bag.

4.

Left side = 2 bags & 7 blocks

Right side = 1 bag & 10 blocks

The beam is balanced, so the weights of the two sides are equal.

2x + 7 = x + 10

x = 3

There are 3 blocks in a bag.

5.

Left side = 3 bags & 6 blocks

Right side = 4 bags & 1 block

The beam is balanced, so the weights of the two sides are equal.

3x + 6 = 4x + 1

-x = -5

x = 5

There are 5 blocks in a bag.

Answer: 4. x+3x=x+1x

              5. x+3=4+3x

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Rounding to the nearest tenth, the volume of the hydrogen gas in the bubble is approximately 268.1 cubic centimeters.

The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3,

where V is the volume and r is the radius of the sphere.

In this case, the diameter of the bubble is given as 8 centimeters, which means the radius (r) is half of the diameter, so r = 8/2 = 4 centimeters.

Plugging the value of the radius into the volume formula:

V = (4/3) * π * (4^3)

= (4/3) * 3.14159 * (64)

≈ 268.08256 cubic centimeters.

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\(\textsf{Hi Brainy User, I'm Here to Help you!}\)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\textsf{\textbf{Rational} and \textbf{Irrational} numbers}\)

\(.\qquad\bullet\textsf{\textbf{Rational} numbers can be written in fraction form, p/q.}\\.\qquad\bullet\textsf{\textbf{Rationals} can be \textbf{terminating} fractions.}\)

\(\therefore\)

\(.\qquad\bullet\textsf{\textbf{Irrational} numbers \textbf{cannot} be written \textbf{as fractions.}}\)

\(\textsf{These are the \textbf{rationals:}}\)

\(\boldsymbol{\dfrac{11}{3}}\)

\(\boldsymbol{0.01045}\)

\(\boldsymbol{\sqrt{\dfrac{16}{81}} }\)

\(\boldsymbol{6.25}\)

\(\boldsymbol{0.\overline{42}\Leftarrow it's\:a\:terminating\:fraction}\)

\(\textsf{These are the \textbf{irrationals:}}\)

\(\boldsymbol{\sqrt{48}}\)

\(\boldsymbol{16\pi}\)

\(\boldsymbol{\sqrt{\dfrac{3}{16}} }\)

\(\textsf{We come to the conclusion that there are more rationals than irrationals. \ddot\smile}\) \(\ddot\smile\)

\(\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection\:-RoSe}}}}^\star_\star\)

You can make a maximum of two tomato-cheese sandwiches. because you can only make as many tomato-cheese sandwiches as the number of cheese slices you have

To make a tomato-cheese sandwich, you need one tomato slice and one cheese slice. Since you have three tomato slices and two cheese slices, you are limited by the availability of cheese slices.

Therefore, you can only make as many tomato-cheese sandwiches as the number of cheese slices you have, which in this case is two.

The ingredient that limits the number of sandwiches you can make is the cheese slice. You have more tomato slices than cheese slices, so you cannot make more than two tomato-cheese sandwiches.

Even if you have extra tomato slices, you cannot make additional sandwiches because you do not have enough cheese slices to pair with them.

In summary, the number of tomato-cheese sandwiches you can make is determined by the ingredient with the lowest quantity,

which in this case is the cheese slice. Therefore, you can make a maximum of two tomato-cheese sandwiches.

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The sample size of 512 is reasonable, but its representativeness depends on the population size, sampling method, sampling frame, and the characteristics of both the sample and the population.

To determine whether the sample of 512 business owners surveyed by Wesley is likely to be representative of the people in the city, we need to consider various factors.

Sample Size: The sample size of 512 is moderately large. Generally, larger sample sizes tend to be more representative of the population. However, the population size of the city is also a crucial factor.

Population Size: The representativeness of the sample depends on the size of the overall population. If the city has a relatively small population of business owners, then a sample size of 512 can be considered sufficient. However, if the population is significantly larger, then the sample may not be as representative.

Sampling Method: The method used to select the sample is important. If Wesley used a random sampling technique, ensuring that every business owner in the city had an equal chance of being included, the sample is more likely to be representative. On the other hand, if a biased or non-random sampling method was employed, the sample may not accurately represent the population.

Sampling Frame: The sampling frame, which is the list of all the business owners in the city, needs to be comprehensive and up-to-date. If the sampling frame is incomplete or outdated, it may introduce bias and affect the representativeness of the sample.

Characteristics of the Sample: To assess representativeness, we need to compare the demographic, geographic, and other relevant characteristics of the sample with the population. If the sample closely matches the population in terms of these characteristics, it is more likely to be representative.

Considering these factors, it is challenging to determine the representativeness of the sample without additional information. The sample size of 512 is reasonable, but its representativeness depends on the population size, sampling method, sampling frame, and the characteristics of both the sample and the population.

To make a definitive conclusion about representativeness, a more detailed analysis of these factors and a comparison between the sample and the population would be necessary.

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The run time for the 90th percentile of the students is approximately 8.524 minutes.

To find the run time for the 90th percentile of the students, we need to determine the corresponding z-score and then use it to calculate the actual run time.

First, we find the z-score corresponding to the 90th percentile. The z-score represents the number of standard deviations the value is from the mean in a standard normal distribution.

We can use a standard normal distribution table or a statistical calculator to find the z-score.

The 90th percentile corresponds to a z-score of approximately 1.28. This means that the run time for the 90th percentile is 1.28 standard deviations above the mean.

Next, we use the formula for converting a z-score to an actual value in a normal distribution:

x = μ + (z * σ)

where x is the actual value, μ is the mean, z is the z-score, and σ is the standard deviation.

Plugging in the values, we have:

x = 7.50 + (1.28 * 0.8)

Calculating this expression, we get:

x ≈ 7.50 + 1.024

x ≈ 8.524

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Answer:

Greatest to Least:

76

8

-53

-274

76 is the highest positive number, which is then followed by 8

The bigger the NEGATIVE number, the least it is. So, -274 is smaller than -53

Conduct additional surveys to increase the total number of responses.

Remove duplicates from the dataset to eliminate skewing of results

Use caution when interpreting the results and consider them exploratory rather than conclusive

Consider using a different methodology for gathering data, such as focus groups or interviews

Adjust the confidence level for the survey results to account for the smaller sample size

Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset

Consider using a sample survey method, like stratified sampling or cluster sampling.

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If a person were to make $1 trillion over the next 30 years, their earnings per second would be approximately $10,512.35.

To calculate the earnings per second, we need to convert the total earnings of $1 trillion into seconds. There are 30 years in total, and each year has 365 days, with each day consisting of 24 hours, each hour containing 60 minutes, and each minute having 60 seconds. Multiplying these values together, we get:

30 years * 365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 946,080,000 seconds

Next, we divide the total earnings of $1 trillion by the number of seconds to find the earnings per second:

$1,000,000,000,000 / 946,080,000 ≈ $10,512.35

Therefore, if we pretend this person had an hourly job that paid $1 trillion over the next 30 years, they would be making approximately $10,512.35 per second. It's worth noting that this calculation assumes a constant rate of earning throughout the 30-year period and does not take into account factors such as taxes or inflation.

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We have the following:

The first thing is to calculate the equation by means of the graph.

For Andrew, we can see that he starts at $ 3 and every hour that passes, he charges $ 2, therefore the equation is:

where x is the number of hours.

For Dave, we can see that he starts at $ 6 and every hour that passes, he charges $ 1.5, therefore the equation is:

where x is the number of hours.

to calculate the number of hours when the value is equal, we must match the equations like this

Which means that at 6 hours they have the same price

The first law of thermodynamics, mathematically expressed as:

ΔU = Q - W

Where:

ΔU represents the change in internal energy of the system,

Q represents the heat added to the system, and

W represents the work done by the system.

The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.

The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.

The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.

For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:

Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.

Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.

Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.

Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.

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The size of the overall population is not important in determining the reliability of a poll.

The overall population that a poll is based on does not have anything significant to do with the poll itself which means that it is not important in determining reliability.

This is because the poll uses a sample of the population and not the population itself.

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Cutting a chicken into quarters is a common preparation method, and each portion can be cooked in a variety of ways, such as roasting, grilling, or frying, depending on personal preference and recipe instructions.

When you cut a chicken into quarters, you will get four portions of the bird, which include the two legs (thigh and drumstick), the two wings, the back and breast portion. The breast portion is typically the largest part and includes one half of the breast and the wing. The back portion includes the spine, ribs, and part of the breast. The legs are usually considered the most flavorful and tender parts of the bird, while the wings are smaller and consist mainly of bone and skin. Cutting a chicken into quarters is a common preparation method, and each portion can be cooked in a variety of ways, such as roasting, grilling, or frying, depending on personal preference and recipe instructions.

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After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65

i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:

Case 1: nine c's - there is only 1 way to arrange them.

Case 2: two d's and six c's - there are 28 ways to arrange them.

Case 3: four d's and three c's - there are 35 ways to arrange them.

Case 4: six c's - there is only 1 way to arrange them.

Summing the four cases gives 1+28+35+1 = 65

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1/3 is the  scale factor of the dilation

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

ABC is the original image

A'B'C' is the image after applying translations

Let us find the distance of line AB and A'B' to find the scale factor

AB=√(6-3)²+(3-3)²

=3

A'B'=√(2-1)²+(1-1)²

=1

Scale factor = Length of new shape/Length of original shape

=1/3

Hence, 1/3 is the  scale factor of the dilation

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The probability that one person eats out, three people see a movie, two people have a party, and one person stays at home, out of seven randomly selected people, can be calculated by multiplying the individual probabilities together.

To calculate the probability, we multiply the probability of each event happening: P(eats out) * P(sees a movie)³ * P(has a party)² * P(stays at home).

Given that 34% of people go out to dinner (0.34), 18% see a movie (0.18), 13% have a party (0.13), and 35% stay home (0.35), we can substitute these values into the probability calculation.

P(one eats out, three see a movie, two have a party, and one stays at home) = 0.34 * (0.18)³ * (0.13)² * 0.35.

By evaluating this expression, we can find the probability that exactly one person eats out, three people see a movie, two people have a party, and one person stays at home out of the seven randomly selected people.

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