A=26°, B=45°, c=5. then a and b is?

Answers

Answer 1

The values of a and b is 2.3 and 3.7 respectively

What is sine rule?

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C. So, we use the Sine rule to find unknown lengths or angles of the triangle.

therefore, a/sinA = b/sinB = c/sinC

C = 180-(26+45)

C = 180- (71)

C = 109°

a/sinA = c/sinC

a/ sin26 = 5/sin109

a×sin109 = 5 × sin26

a× 0.946 = 5× 0.438

a × 0.946 = 2.19

a = 2.19/0.946

a = 2.3

b/sin45 = 5/sin109

5 × sin45 = b sin109

b = 5× 0.707/0.946

b = 3.7

therefore the value of a and b are 2.3 and 3.7 respectively

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Related Questions

Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.​

Answers

Answer:

Step-by-step explanation:

Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.

Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien

Answers

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

The x and y intercepts for the linear equation x – 2y = -8 is

Answers

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

F(x)=|x+3|-1 range and domain

Answers

Hey there! :)

Answer:

Domain: (-∞, ∞)

Range: [-1, ∞)

Step-by-step explanation:

This is an absolute-value function.  (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:

Domain: (-∞, ∞)

Range: [-1, ∞)

F(x)=|x+3|-1 range and domain

Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2

Answers

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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8x-(2x-1)=2
A.-1/10
B. 1/6
C. -1/6
D. 1/10

Answers

Answer:✓ The answer is Letter B.

• 8x-(2x-1)=2

Solution:

\(8x - (2x - 1) = 2 \\ 8x - 2x + 1 = 2 \\ 6x + 1 = 2 \\ 6x = 2 - 1 \\ 6x = 1 \\ x = \frac{1}{6} \)

If 600 people were surveyed in order to make this pie chart, how many people say they take the bus? 20 points

If 600 people were surveyed in order to make this pie chart, how many people say they take the bus? 20

Answers

Answer:

if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus

Which term is equivalent to the expression

Which term is equivalent to the expression

Answers

Answer:

D

Step-by-step explanation:

4x(2x-3)

multiply everything in parentheses by 4x

8x^2-12x

The correct answer to this question is d good luck

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

One gram is equal to ...

Answers

Answer:1000 milligram

Step-by-step explanation:

0.001 kilograms
1000 milligrams

!!!!Plz Help!!!! How does the slop of AB compare with the slope of the parallel line as you move points A, B, and C? What conclusion can you draw about the relationship between the slopes of parallel lines?​

Answers

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation:

What is the radius of a circle with an area of 50.24 square inches?
Use 3.14 for pi.
Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation: I took the test :)

(5+x)² = ?

Help please.

Answers

Answer:i belive it is 25+10x+x to the second power

Step-by-step explanation:

I simplified

\(\qquad \qquad\huge \underline{\boxed{\sf Remarkable\ products}}\)

➯ According to me, what I was taught algebra would be like this: ↓

\({\boxed {\bold {(5+x)^{2} =}}}}}\)

\({\boxed {\bold {5^{2}+2*5x+x^{2}=}}}}}\)

\({\boxed {\bold {25+10x+x^{2}}}}}}\) ✔

➥ I hope I have helped you, greetings!

\(\red{\large{ \pmb{ \underline{ \underline{\bf{Atte:\ TheGirlSad}}}}}}\)

PLZ HELP OFFERING BRAINLIEST
Find the difference. 2/5 (d-10) -2/3 (d+6)

Answers

\(\dfrac 25 (d-10) - \dfrac 23(d+6)\\\\\\=\dfrac{6}{15} (d-10) - \dfrac{10}{15} (d+6)\\\\\\=\dfrac{6(d-10) -10(d+6)}{15}\\\\\\=\dfrac{6d -60-10d-60}{15}\\\\\\=\dfrac{-4d-120}{15}\\\\\\=-\dfrac{4d}{15} - 8\)

if h(x) = 5x +2. then h^1(x) = what?

Answers

function is a relationship between inputs where each input is related to exactly one output.

The value of \(h^{-1}(x)\) is (x -5)/5

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = 5x + 2

To find \(h^{-1}(x)\).

Step 1: Keep h(x) = y.

Step 2: Replace y with x and x with y.

Step 3: Solve for y.

Step 4: Change y = \(h^{-1}(x)\)

Now,

y = 5x + 2

x = 5y + 2

x - 2 = 5y

(x - 2) / 5 = y

y = (x - 2) / 5

\(h^{-1}(x)\) = (x -2) / 5

Thus,

The value of \(h^{-1}(x)\) is (x -5)/5

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In the figure below, find the exact value of x. (Do not approximate your answer.)

In the figure below, find the exact value of x. (Do not approximate your answer.)

Answers

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

What is meant by "Pythagoras Theorem"?

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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In the figure below, find the exact value of x. (Do not approximate your answer.)

A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?​

Answers

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

What are system of inequalities?

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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which expression represnts the product of 2xy and 3xy+5y-xy^2

which expression represnts the product of 2xy and 3xy+5y-xy^2

Answers

Answer:

You distribute the 2xy and get

2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)

There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?

Answers

Answer:

like 20 percent

Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of tickets.

Using x for the number of tickets and y for the cost, do the following.

Write an equation relating x and y

Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of

Answers

Answer:

The equation relating x and y is: y=4x

Step-by-step explanation:

Let x represent number of tickets

and y represent cost

a) Plot the ordered pairs

The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.

b)  Write an equation relating x and y

y= 4x

Now checking by putting values of x to see, if we get values of y

if x=1,  then y=4x => y=4*1 =>y=4

if x=2 then y=4x => y=4*2 =>y=8

if x=3 then y=4x => y=4*3 =>y=12

So, we get same values as table.

The equation relating x and y is: y=4x

Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of

In this lesson, you explained how acts, scenes, and stanzas work together to provide structure and meaning in a drama or poem. Explain how you can apply what you've learned to other dramas and poems you read.​

Answers

Answer:

The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.

(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)

A system of equations is given.

Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7

Explain how to eliminate x in the system of equations.

Answers

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Patrick's favorite shade of purple paint is made with 4 milliliters of blue paint for every 3 milliliters of red paint.

Which of the following paint mixtures will create the same shade of purple?

Choose 2 answers

A
3 milliliters of blue paint mixed with 4 milliliters of red paint

(Choice B)

8 milliliters of blue paint mixed with 6 milliliters of red paint

(Choice C)

6 milliliters of blue paint mixed with 8 milliliters of red paint

(Choice D)
20 milliliters of blue paint mixed with 15 milliliters of red paint

(Choice E)

12 milliliters of blue paint mixed with 16 milliliters of red paint

Answers

Answer:

8 milliliters of blue paint mixed with 6 milliliters of red paint

20 milliliters of blue paint mixed with 15 milliliters of red paint

Step-by-step explanation:

Patrick's favorite shade of purple paint is made with 4 milliliters of blue paint for every 3 milliliters of red paint.

Which of the following paint mixtures will create the same shade of purple?

Choose 2 answers

Answer:

88 milliliters of blue paint mixed with 666 milliliters of red paint

2020 milliliters of blue paint mixed with 151515 milliliters of red paint

Step-by-step explanation:

Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 each this is 60% of the cost of the regular price ticket what is the cost of the regular price ticket show your work ​

Answers

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

!!!89 POINTS!!!
Find the domain of the graphed function

!!!89 POINTS!!!Find the domain of the graphed function

Answers

Answer:

A. -4 ≤ x ≤ 9

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -4 to 9. Since both are closed dots, they are included in the domain:

[-4, 9] or -4 ≤ x ≤ 9

Suppose you are designing and conducting a poll to see which of the Congressional candidates are popular in your area. Use the terminology and concepts that we are learning in Lesson 1 - population, sample, sampling methods, representative sample, and presentation of data....
1. Discuss the following in your own words :
the population that you are trying to predict,
where and how are you selecting your sample,
what sampling method would you use,
how would you assure that you are selecting a representative sample, and
show an example of how you would present your data.

Answers

The population we're trying to predict is the population that is going to be Voters in our area, the where should probably be well as above our area, and the how now, generally speaking, we want to do a simple, random, or a random sample of some sort, random sample.

For instance, what you could do would be something like choose: random addresses in the area and send a survey, but sending a survey could introduce self-selection bias. So it would be ideal to visit in person basically and ask a few questions making sure the representative sample or how to ensure that we're getting a representative sample would be to, for instance, filter the random results and make sure that we have an even distance.

Ensure that there's an equal number within each quadrant of the town, basically split up the town.  Split towns into regions of populations or population densities and make sure we get the same proportion from each region.  However, we end up splitting the town into different regions. We show the proportion or show who is the most popular candidate in each 1 of the regions, so it could be something like this. That was supposed to be an alternative to a bar graph. The number of results for each different candidate depends on whether or not there's a sort of well-defined districts or areas in the town, but most sorts of relatively large cities have things like that. So the idea would be to represent not just the location, but also the information that you gain separately.

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Split up the town so that there are an equal amount in each of its four quadrants. Make sure we receive the same proportion from each region by dividing towns into population or population density regions. But ultimately, we divide the town into many parts. It might look something like this since we display the percentage or the candidate who is most supported in each location. That was meant to be a bar graph substitute. Whether or not a town has clearly defined districts or areas affects the amount of results for each candidate, although this is true of most types of moderately large cities.

Write a quadratic function to model the vertical motion for each​ situation, given ​h(t) equals negative 16t squared plus v0t+h0. Find the maximum height. Initial velocity 152

Answers

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

\((\frac{1}{4} +\frac{5}{4} )^{2} +\frac{3}{4}\)

Answers

Answer:

Should be 3

Step-by-step explanation:

To add the fractions find the LCD then combine

Answer:

3

Step-by-step explanation:

\((\frac{1}{4} +\frac{5}{4} )^2+\frac{3}{4} \\\\(\frac{6}{4})^2+\frac{3}{4} \\\\\frac{9}{4} +\frac{3}{4} \\\\\frac{12}{4} \\\\3\)

Mr. Paras sold a portion of his lot to his friend. The lot was 65 meters long and 32 meters
wide. However, part of it measuring 21 meters long and 3 meters wide was donated for
the right of way of his neighbors. What was the area of lot he sold excluding the right of
way?

1. What is the area of the lot that he supposed to sell?

2. What was the area of the donated lot for the right of way?

3. What was the area of the remaining lot that was actually sold?

Please answer it correctly huhu I really need it rn T - T​

Answers

Answer:

1. What is the area of the lot that he supposed to sell?

65*32 = 2080 sq. m

2. What was the area of the donated lot for the right of way?

21*3 = 63 sq. m

3. What was the area of the remaining lot that was actually sold?

2080 - 63 = 2017 sq. m

Answer:

1.2,080 m²

2.63m²

3.2,017

4.25m²

5.81m²

Explanation:

1. A = LW

A = 65 m × 32 m

A = 2,080 m²

2. A = LW

A = 21 m × 3 m

A = 63m²

3. A = 2,080 m² – 63 m²

A = 2,017 m²

4. A = s²

A = (5m)²

A = 25 m²

5.

A = s²

A = (9 m)²

A = 81 m²

Choose correct simplification of x^12z^11/x^2z^4

Answers

The correct simplification of x^12z^11/x^2z^4 is \(x^{10}z^{7\)

How to simplify the expression?

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

\(\frac{x^{12}z^{11}}{x^2z^4}\)

Apply the quotient law of indices

\(x^{12-2}z^{11-4}\)

Evaluate the difference

\(x^{10}z^{7\)

Hence, the correct simplification of x^12z^11/x^2z^4 is \(x^{10}z^{7\)

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A credit-based score that insurers claim is highly predictive of future claims costs is an individual's(a) combined ratio.(b) loss ratio.(c) insurance score.(d) underwriting score. gregs resume demonstrates his expertise in neighborhood development. to continue on this career path in social work, he will most likely seek employment in the field o Determine whether the improper integral diverges or converges. integral_1^infinity 1/x^3 dx converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES. the product of two rational numbers is -16/9. If one of the numbers is -4/3 find the other A student sets a goal to improve academic performance. Which of the following represents a subjective measurement of progress toward that goal?A. improved grades on individual assignmentsB. higher letter grades at the end of the academic yearC. a greater sense of accomplishmentD. remembering facts learned in class where should you measure the temperature of a breaded chicken drumstick Complete each sentence by selecting the correct term from the word bank and then its associated blank.Algo | algunas | nada | niguna | tambien | algunos | ni | nunca | tampocoVendedor: Quiere , seor?Cliente: S, quiero drop or tap tomates, por favor.Vendedor: Bien. Quiere drop or tap manzanas ? Estn muy frescas.Cliente: No, no quiero drop or tap porque no como fruta.Vendedor: Necesita huevos frescos, seor?Cliente: No, drop or tap como huevos.Vendedor: De verdad? Mi esposa no come drop or tap frutas drop or tap huevos. Qu coincidencia! Necesita pan hoy?Cliente: No gracias, no necesito drop or tap ms.Vendedor: Muy bien... catorce quetzales, por favor. Use algebra tiles to model the expression, and then combine like terms. Check all that apply. 3 + 2 + x + xCombine the x tiles and the integer tiles.Combine all the tiles.The equivalent expression is 5 + 2x.The equivalent expression is 7x.Use substitution to verify the expressions are equivalent. How do you transcribe DNA to mRNA? Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Complete the explanation of your reasoning. please no guessing............. Work out 97.974436 divide 14 and give your answer to 2 decimal places. AB=6CM AC= 12cm calculate the length of CD A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.What is the actual length of the trail in kilometers?A) 1.3 kilometersB) 3 kilometersC) 6.75 kilometersD) 9 kilometers An example of free riding would be A. having a friend buy you a movie ticket. B. trying a sample of food at a grocery store. C. walking on a golf course to play without paying. D. using the library even though you don't have a card Use the factorial operation to evaluate 4!.241410 Write a brief report around 200 words on how Caterpillar andNavistar International use JIT and Inventory Management. And whattheir objective is as well as how they support theirobjective. Describe the man that the group confronts at the Central Intelligence Centre? A Wrinkle In Time. Which of the following number is divisible by 3 but not by 9 Mcq?(i) 221(ii) 543(iii) 28492(iv) 92349 the rod is subjected to an external axial force of 800 n and a uniform distributed load of 100 n / m along its length. determine the internal normal force in the rod as a function of x.