At a store one shirt cost six times the cost of a pair of socks . A pair of jeans cost $9 more than the shirt . the cost of one shirt and one pair of jeans is $ 45 ?
One shirt cost ?
One pair of pants cost ?
One pair of socks ?

Answers

Answer 1

Answer:

14 for the pants

5 for the shirt

84

Step-by-step explanation:

9+5

14*6


Related Questions

hii pls help i’ll give brainliest if you give a correct answer

hii pls help ill give brainliest if you give a correct answer

Answers

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Ur answer .. Check it out ..

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hii pls help ill give brainliest if you give a correct answer

t i) let [a; b] be a non-degenerate closed interval in r, and let f : [a; b] ! r be twice di§erentiable with f(a) < 0, f(b) > 0, f 0 (x) c > 0, and 0 f 00(x) m for all x 2 (a;

Answers

A. By the given conditions, the function f has a root in the interval [a, b].

B. The given conditions provide information about the function f and its derivatives.

Let's analyze the conditions step by step:

1. f(a) < 0 and f(b) > 0: This implies that function f takes negative values at the left endpoint a and positive values at the right endpoint b.

In other words, the function changes the sign between a and b.

2. f'(x) > 0 for all x in (a, b): This condition states that the derivative of f, denoted as f'(x), is always positive in the open interval (a, b).

This indicates that the function is increasing within this interval.

3. f''(x) > 0 for all x in (a, b): This condition states that the second derivative of f, denoted as f''(x), is always positive in the open interval (a, b).

This indicates that the function is concave up within this interval.

By combining these conditions, we can conclude that the function f is continuous, increasing, and concave up within the interval (a, b).

Since f(a) < 0 and f(b) > 0, and the function changes sign between a and b, by the Intermediate Value Theorem, there exists at least one root of the function f in the interval [a, b].

Therefore, the main answer is that the function f has a root in the interval [a, b].

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PLEASE WILL MARK BRAINLIST

PLEASE WILL MARK BRAINLIST

Answers

The graph represents the relationship between the number of games downloaded and the total cost in dollars. The ratio of total cost to the number of games downloaded is $2.50 per game.

The given graph shows the relationship between the number of games downloaded and the total cost in dollars of the downloads. It can be observed that when 2 games are downloaded, the total cost is $5.

To determine the ratio of total cost to the number of games downloaded, we divide the total cost by the number of games.

This results in a ratio of $2.50 per game downloaded. Thus, the ratio of total cost (in dollars) to the number of games downloaded is $2.50 per game.

This means that on average, each game downloaded costs $2.50.

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suppose we are interested in studying the relationship between the shelf life of cheeses in a dairy factory and the thickness of the packaging material used for those cheeses. we would like to determine if there is a causal relationship between the thickness of the packaging material and the shelf life of the cheese; that is, does a change in the thickness of the packaging material cause a change in the shelf life of the cheese? select the study that would be best source of evidence for establishing the existence of a causal relationship.

Answers

To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).


To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.



The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.



By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?

Answers

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

k is the constant of proportionality.

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Ursula rolls a regular
Six-sided die. How many
possible outcomes are
there?
1
outcome
2
outcomes
D
6
outcomes
8
outcomes
7.6A
A

Answers

Answer:

6

Step-by-step explanation:

cuz in a normal die there r 6 outcomes

Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.

Answers

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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the formula for finding the surface area of a cylinder is sa = πr2 πrh . truefalse unlimited attempts remain

Answers

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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when converting to a new system, which cutover method is the most conservative? a. data coupling cutover b. parallel operation cutover c. phased cutover d. cold turkey cutover

Answers

The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

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A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed?

Answers

For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.

The formula for the area of a rectangle is: Area = Length * Width.

So, for the given case, we have:

Area = 3000 square yards

Length = 50 yards, 40 yards, 48 yards, or 36 yards

Therefore, the width of the plot in each case can be calculated as:

For Length = 50 yards,

Width = Area / Length

= 3000 / 50

= 60 yards

For Length = 40 yards,

Width = Area / Length

= 3000 / 40

= 75 yards

For Length = 48 yards,

Width = Area / Length

= 3000 / 48

= 62.5 yards

For Length = 36 yards,

Width = Area / Length

= 3000 / 36

= 83.33 yards

Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.

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Simplify this expression.

20x - 8 - 15x - 10

[?]x + [?]

Enter the numbers that go in the box.​

Answers

Answer:

5x-18

Step-by-step explanation:

Answer:

3x+2y=4

Step-by-step explanation:

bro it says wait till 20 sec to send this brruuhhhhh

From the first principle, find the derivative of ln tan^1x.​

Answers

Answer:

sec²x

........Hope I helped!..................

Hi! the Answer is Sec2x.

Hope this helps, have a great night!:)

Ira enters a competition to guess how many buttons are in a jar. Ira’s guess is 200 buttons. The actual number of buttons is 250. What is the percent error of Ira’s guess?.

Answers

Answer=20%
Using the percent error formula
200-250=-50
-50/250= -0.2
-0.2x100=-20

Taylor wants to buy a bag of chips for all of her classmates. If each bag of chips costs
$1.25 and she has 13 classmates, how much money will she spend?

Taylor wants to buy a bag of chips for all of her classmates. If each bag of chips costs$1.25 and she

Answers

Answer:

B) $16.25

Step-by-step explanation:

$1.25 x 13=$16.25

What is the value of x to the nearest tenth?A.25.7B.43.2C.88.8D.89.7

What is the value of x to the nearest tenth?A.25.7B.43.2C.88.8D.89.7

Answers

\(\begin{gathered} 70^2=52^2+48^2-2\cdot52\cdot48\cdot\cos x\rightarrow \\ 4900=5008-4992\cdot\cos x\rightarrow\cos x=\frac{4900-5008}{-4992}=\frac{108}{4992} \\ x=\arccos \frac{108}{4992}=88.8 \end{gathered}\)

K
BD bisects ZABC. Solve for x and find mZABC.
m/ABD = (6x), m/DBC = (2x+12)°
X=
m/ABC=

Answers

bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

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Tom's annual salary is $67,400. a) What is his monthly salary? b)What is his weekly
salary?

Answers

Answer:

Monthly salary: $5,617; Weekly salary: $1,296

Step-by-step explanation:

Since there are 12 months in a year, you would divide the number of months by the salary.

67400/12x≈5617

The monthly salary is about $5,617.

Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.

67400/52x≈1296

The weekly salary is about $1,296.

To reduce a fraction, divide the numerator and denominator by the ? . Select one:

a. denominator
b. numerator
c. same number
d. smallest fraction

Answers

To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

Answers

Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

Answer:

\(x=78\)

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for \(x\) and there are 2 methods to do it. I will go over the fastest way (since it's better).

This involves the exterior angle theorem (see the image attached to see how that works.

2) In order to use this theorem, we need to solve for the angle near \(z\). This angle would be \(360-z\), which is \(360-313\) (since \(z=313\)).

\(360-313\) = \(47\)

3) Then, we can use the fact that \(y=x+47\) (47 is the measure of the angle we just solved for.)

\(y=125\), so \(125=x+47\)

Subtract 47 from both sides, and get \(x=78\)

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!

a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x
a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

Which graph shows a function whose inverse is also a function?
5
4.
1+1(x)
3
fo
2
1
- 5 4 -3 -2 -14
1
12
3
4
5
X
2
3
4

Answers

Answer: A good way to determine if a line represents a valid function is to use the vertical line test.

To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time.

If it is touching more than one point on the line at a time, the line is not a valid function.

The first line and its inverse both pass the test.

The second line passes the test, but its inverse does not.

The third line also passes the test, but again, its inverse does not.

The same applies to the fourth line and its inverse.

Step-by-step explanation:

The graph showing a function and its inverse is the graph D.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of a function and its inverse are symmetric with respect with the line y = x.

On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.

You will see this is true only for choice D.

Hence, the correct graph is d.

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The figure is attached

Which graph shows a function whose inverse is also a function?54.1+1(x)3fo21- 5 4 -3 -2 -14112345X234

On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1 : 1
2
How many cups of water should be used to cook 1 cup of
2 uncooked rice?

Answers

The cups of water should be:

2 x 12 = 24 ( cups of water )

Assume that a country is endowed with 5 units of oil reserve. There is no oil substitute available. How long the oil reserve will last if (a) the marginal willingness to pay for oil in each period is given by P = 7 - 0.40q, (b) the marginal cost of extraction of oil is constant at $4 per unit, and (c) discount rate is 1%?

Answers

Given the marginal willingness to pay for oil, the constant marginal cost of extraction, and a discount rate of 1%, the oil reserve will last for approximately 10.8 periods.



To determine how long the oil reserve will last, we need to find the point at which the marginal cost of extraction equals the marginal willingness to pay for oil. In this case, the marginal cost is constant at $4 per unit. The marginal willingness to pay is given by the equation P = 7 - 0.40q, where q represents the quantity of oil extracted.

Setting the marginal cost equal to the marginal willingness to pay, we have:4 = 7 - 0.40q

Simplifying the equation, we get:0.40q = 3

q = 3 / 0.40

q ≈ 7.5So, at q ≈ 7.5, the marginal cost and marginal willingness to pay are equal. We can interpret this as the point at which the country would extract the oil until the quantity reaches 7.5 units. To determine how long this would last, we need to divide the total oil reserve (5 units) by the extraction rate (7.5 units per period):5 / 7.5 ≈ 0.67

Since the extraction rate is less than 1 unit per period, it means that the oil reserve will last for approximately 0.67 periods. However, the discount rate of 1% needs to be taken into account. To calculate the present value of the oil reserve, we discount each period's value. Using the formula for present value, we find that the oil reserve will last for approximately 10.8 periods.

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A health club has 2 employees who work on lead generation. Each employee contacts leads 20 hours a week and is paid $20 per hour: Each employee contacts an average of 200 leads a week. Approximately 8% of the leads become members and pay a onetime fee $100 Material costs are $190 per week, and overhead costs are $1,100 per week. a. Calculate the multifactor productivity for this operation in fees generated per dollar of input. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) b. The club's owner is considering whether to purchase a new software program that will allow each employees to contact 20 more leads per week. Material costs will increase by $260 per week. Overhead costs will remain the same. Calculate the new multifactor productivity if the owner purchases the software. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) c. How would purchasing the software affect productivity? (Enter the change in productivity as a percentage rounded to one decimal.)

Answers

The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

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What is (2)(-3)(-4)

What is (2)(-3)(-4)

Answers

Answer:

No, No, Yes, Yes.

Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.

So, with that said, the first one multiples out to -24.

The second multiplies out to again -24.

12 times 2 = 24.

A negative and a negative multiply to become a positive, so -4 times -6 = 24.

Answer:

24 i belive

so you should choose

Step-by-step explanation:

(6) (-4) = no

(-3) (8) =no

(12) (2) =yes

(-4) (-6)= yes

chaslot, g., winands, m., herik, h., uiterwijk, j., and bouzy, b. progressive strategies for monte-carlo tree search. new mathematics and natural computation, 04: 343–357, 11 2008. doi: 10.1142/s1793005708001094.

Answers

The given citation is a reference to a research paper titled "Progressive Strategies for Monte-Carlo Tree Search" by Chaslot, G., Winands, M., Herik, H., Uiterwijk, J., and Bouzy, B.

The paper was published in the journal "New Mathematics and Natural Computation" in November 2008.

Here are the details of the citation:

Authors: G. Chaslot, M. Winands, H. Herik, J. Uiterwijk, and B. Bouzy

Title: Progressive Strategies for Monte-Carlo Tree Search

Journal:

Year: 2008

Volume: 04

Pages: 343–357

DOI: 10.1142/s1793005708001094

The DOI (Digital Object Identifier) provided is a unique identifier for the paper and can be used to access the paper online, usually through a database or publisher's website.

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Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Answers

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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- Find a counterexample to show that the conjecture is false The sum of a positive number and a negative number is always positive.

- Find a counterexample to show that the conjecture is false The sum of a positive number and a negative

Answers

The sum of a positive number and a negative number is always positive.

So:

Let:

a = arbitrary number where a>0

b = another arbitrary number where b<0

According to the conjecture:

a + b > 0

However, this isn't true because:

For example:

a = 2 ; 2>0

b = -8 ; -8 < 0

2 + (-8) > 0

2 - 8 > 0

-6 > 0 ------> This is false, therefore the conjecture is false

Use point-slope form to write the equation of a line that passes through the point (-7,-8) with slope -3/11

Answers

Answer:

y + 8 = -3/11(x+7)

Step-by-step explanation:

What is the point-slope form formula?

y-y1=m(x-x1) -------> y+8=-3/11(x+7)

Which expression is equivalent to sin(84°)cos(43°) + cos(84°)sin(43°)?

sin(41°)
cos(41°)
sin(127°)
cos(127°)

Answers

Given:

\(\sin (84^\circ)\cos (43^\circ)+\cos (84^\circ)\sin (43^\circ)\)

To find:

The expression that is equivalent to given expression.

Solution:

We know that,

\(\sin (A+B)=\sin A\cos B+\cos A\sin B\)

We have,

\(\sin (84^\circ)\cos (43^\circ)+\cos (84^\circ)\sin (43^\circ)\)

Here, \(A=84^\circ\) and \(B=43^\circ\). Using the above formula, we get

\(\sin (84^\circ)\cos (43^\circ)+\cos (84^\circ)\sin (43^\circ)=\sin (84^\circ+43^\circ)\)

\(\sin (84^\circ)\cos (43^\circ)+\cos (84^\circ)\sin (43^\circ)=\sin (127^\circ)\)

So, the equivalent expression is \(\sin (127^\circ)\).

Therefore, the correct option is C.

Answer:

C. sin(127°)

Step-by-step explanation:

Which expression is equivalent to sin(84)cos(43) + cos(84)sin(43)?sin(41)cos(41)sin(127)cos(127)

5<2y<12 where y is an integer.
Write down all the possible values of y.

Answers

Answer:

y = 3, 4, or 5

Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

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