Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression. tan x(cot x - cos x)​

Answer:

  see attached

Step-by-step explanation:

No doubt you have examples showing the wording that is expected to be used here. We have made a guess.

power of a ratio: the numerator is raised to the power, as is the denominator. (a/b)^c = (a^c)/(b^c)

power of a product: each factor is raised to the power. (ab)^c = (a^c)(b^c)

power of a power: the powers are multiplied. (a^b)^c = a^(bc)

quotient of powers: the result when one power is divided by another is the difference of the numerator and denominator powers. (a^b)/(a^c) = a^(b-c)

_____

Additional comment

The order of operations tells you to simplify inside parentheses first. Doing that reduces the work somewhat.

  \(\left(\dfrac{-3x^3y}{x^2}\right)^4=(-3xy)^4=(-3)^4x^4y^4=81x^4y^4\)

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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Answer:

y=1

Step-by-step explanation:

The numbers are all even, so if you are looking for what is in the middle of 2 lines then you would use a odd number.

Answer:

Step-by-step explanation:

Divide 6 by 4:

Answer:

D. $7.50

Step-by-step explanation:

$157.50 / 21 hours = $7.50 per hour

ANSWER:

STEP-BY-STEP EXPLANATION:

In part 3, we have two angles that add up to 180°, this would be the definition of supplementary angles.

In part 4, since both sums are equal to 180° by transitivity both sums are also equal. This would be the transitivite property of equality.

In part 6, we have the definition of the converse of the corresponding angles theorem which says that If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

make 4 into a fraction

4/1 ÷ 1/8

when dividing a fraction you change the divide into multiply and you flip the second fraction:

4/1 × 8/1 = 32

Answer:

32

Step-by-step explanation:

1/8 = 1 / 8 = 0.125        4 / 0.125 = 32

mad skillz gl cheating on your I-ready test

Answer:

The average annual cumulative rainfall is  \(1\) inch per month.

During month of August average rain fall is greatest because slope in this month is maximum.

Step-by-step explanation:

The graph does not represent cumulative rainfall as a function of day.

Because they have average all values for month Total cumulative rainfall is \(12\) inches.

Total period is \(12\) month

So average annual cumulative rainfall is

\($12 / 12=1$\) inch per month

Average rain fall in month of December= (average cumulative rainfall in December\()-(\)average  cumulative rainfall in November)

\(=12-11\)

\($=1$\) inch

During month of August average rain fall is greatest because slope in this month is maximum.

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From the given table,

1 Pizza corresponds to 4 students

2 Pizza corresponds to 8 students

3 Pizza corresponds to 12 students

4 Pizza corresponds to 16 students

As you notice, for every pizza there are 4 students,

so the multiplier is 4.

2 pizza x 4 = 8 students

3 pizza x 4 = 12 students

4 pizza x 4 = 16 students

The answer is Option B. Multiply the number of pizza by 4 to find the number of students

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Answer:

5 tacos for 2 guests would mean more for each person, while 2 tacos for 5 guests would mean less for each person

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:*

Step-by-step explanation:

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

The annual rate of interest have to be 3.87%.

Mathematically, compound interest can be calculated by using this formula:

A = P(1 + r/n)^{nt}

Where:

Making the interest rate (r) the subject of formula, we have:

r = n[(A/P)^{1/nt} - 1]

Note: A = SI + P = 600 + 30,000 = $36,000

Substituting the given parameters into the formula, we have;

Interest rate, r = 1[(36,000/30,000)^{1/1 × 4.8} - 1]

Interest rate, r = [(1.2)^{0.20833333333} - 1]

Interest rate, r = [1.0387 - 1]

Interest rate, r = 0.0387

Interest rate, r = 3.87%.

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Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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Answer:

5808.8km

Step-by-step explanation:

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer: h= -1352

Step-by-step explanation: 1. Translate the expression into algebra. The quotient of h and 26 =-52 is h/26=-52

2. multiply 26 to both sides.

3. h= -1352

The selling price of the item at 10% marlkup is $55

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

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

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

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

48

Step-by-step explanation:

12 x 4 = 48

Answer:

48

Step-by-step explanation:

If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48

Answer:

I never took the lesson but il try!

Step-by-step explanation:

so if y is 34° and x should be 54° if I am being correct!

Answer:

16n-4

Step-by-step explanation:

2(2n-3) +2(6n+1)=

4n-6+12n+2

16n-4

Answer:

38%

Step-by-step explanation:

Answer:

38% is correct

ED2021

Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer:

25(x+2)(x−2)

Step-by-step explanation:

The solution is A = 25 ( x - 2 ) ( x - 2 )

The equation to the expression is given as A = 25 ( x - 2 ) ( x - 2 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 25x² - 100   be equation (1)

On simplifying the equation , we get

Taking 25 as the common factor of the equation , we get

A = 25 ( x² - 4 )

Now , ( x² - a² ) = ( x + a ) ( x - a )

So , the value of ( x² - 4 ) can be simplified as

A = 25 ( x + 2 ) ( x - 2 )

Therefore , the value of A is 25 ( x + 2 ) ( x - 2 )

Hence , the equation is A = 25 ( x + 2 ) ( x - 2 )

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