In which quadrant does the point (16 , -2) lie?

The expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

How to solve cos3x/sinx cosx?Given an expression cos3x/sinx cosx.

The goal is to simplify it using trigonometric identities.

We know that the quotient identity of tan x is:

tan x = sin x / cos x

We can convert the above equation as:

cos x / sin x = 1 / tan x

Similarly, cot x = cos x / sin x

We can convert the above equation as:

sin x / cos x = 1 / cot x

Now, we can use the above equations to simplify the given equation.

Simplify cos3x/sinx cosx

We have:

cos3x/sinx cosx= cos2x * cosx / sinx cosx

= cos2x / sinx + cos2x / cosx

= cos2x/sinx + cos x

And, we know that

cos 2x =\(1 - 2sin^2x\)

= \(2cos^2x - 1\)

Substituting this value in the above equation, we get:

cos3x/sinx cosx = (\(2cos^2x - 1\)) / sinx + cos x

= secxcos2x- cscxsin 2x

Therefore, the expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

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Answer:

d

Step-by-step explanation:

Scores on one variable plotted against scores on a second variable.

The correct answer is (b)

Now, According to the question:

Let's know:

A scatterplot shows:

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

Hence, The correct answer is (b) i.e.,

Scores on one variable plotted against scores on a second variable.

Given,

In the question:

A scatterplot shows:

a. the average value of groups of data.

b. scores on one variable plotted against scores on a second variable.

c. the frequency with which values appear in the data

d. the proportion of data falling into different categories.

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Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Step-by-step explanation:

h so the teacher get all her answers from quizlet

Answer:

There is no answer to that equation.

Step-by-step explanation:

The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.

Let the relation R R R be asymmetric. A loop in the directed graph corresponds to an ordered pair of the form ( a , a ) (a , a) (a , a). By the definition of asymmetric, the relation R R R cannot contains any ordered pairs of the form ( a , a ) (a , a) (a , a) and thus the directed graph cannot contain any loops.

They are typically represented by labeled points or small circles. We connect vertex a to vertex b with an arrow, called an edge, going from vertex a to vertex b if and only if arb. This type of graph of a relation r is called a directed graph or digraph .

It is a set where either there are many components or only the beginning or ending are provided. By n(A), we refer to the total number of components, and if n(A) is a characteristic number, then the set is constrained.

Let A be finite non-empty set.

Then the exist relation R on A which is both equivalence and order relation.

Suppose A = {\(a_{1} , a_{2} , a_{3} , ...... a_{n} ,\)}

And, R = { \((a_{1} ,a_{1}) , (a_{2} ,a_{2} ) ,(a_{3} ,a_{3} )........(a_{n} ,a_{n} )\) }    

R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric.

Then R is equivalence relation and an order relation.

Therefore,

The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.

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Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

use midpoint formula

(5,-1)

Answer:

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Step-by-step explanation:

Lets find the hypotenuse first by applying Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(5)^2=c^2

36+25=c^2

61=c^2 (FIND SQUARE ROOT)

7.8=c

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Cos theta= b/c

= 6/7.8

Tan theta= a/b

= 5/6

Answer:

22 feet

Step-by-step explanation:

height is 22 feet

Answer:

Irrational

Step-by-step explanation:

It has an infinite number of digits after the decimal point

Step-by-step explanation:

first inequality :

x + 2y ≥ 10

second inequality :

x - y ≤ -2

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

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

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The translation rule (x + 7, y - 19) has the meaning given as follows:

The four translation rules are defined as follows:

The meaning of each translation in this problem is given as follows:

The problem asks for the meaning of the translation (x + 7, y - 19).

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Answer:

x=12

Step-by-step explanation:

Im not sure which measure you're talking about, but I'll show you what I did here:

A triangle = 180 degrees.

4x + 8x + 4x =16x

-8 - 1 - 3 = -12

180 = 16x - 12        -Add 12 to both sides

192 = 16x               -divide by 16 to get x by itself

12 = x

Angle A = 88 degrees (8 times 12 then subtract 8)

Angle B = 47 degrees (4 times 12 then subtract 1)

Angle C = 45 degrees (4 times 12 then subtract 3)

Answer:

The correct answer is 5.672 x 10^3

Step-by-step explanation:

change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3

Answer:

A,B,D

Step-by-step explanation:

right on edge

Answer:

A,B,D

Step-by-step explanation:

TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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Answer:

15

Step-by-step explanation:

Answer:

21.213

Step-by-step explanation:

Answer:

2.5%

Step-by-step explanation:

Please mark Brainliest when able.

Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

Answer:

x = -4

y = 7

graph like this

Step-by-step explanation:

hope it helps ☺️

The intersection points between the two equations are (1, 3) and (-4, 2)

Here we have the system of equations:

(x+4)^2+(y−3)^2=25

y=x+2

We can replace the second equation into the first one to get:

(x+4)^2+(x + 2−3)^2 = 25

(x + 4)^2 + (x - 1)^2 = 25

Now let's solve that:

x^2 + 8x + 16 + x^2 - 2x + 1 = 25

2x^2 + 6x + 17 - 25 = 0

2x^2 + 6x - 8 = 0

x^2 + 3x - 4 = 0

Using the quadratic formula:

\(x = \frac{-3 \pm \sqrt{3^2 - 4*1*-4} }{2} \\\\x = \frac{-3 \pm5 }{2}\)

So the two solutions are:

x = (-3 + 5)/2 = 1

x = (-3 - 5)/2 = -4

Evaluating the line in these values:

y = 1 + 2 = 3 ----> we have the point (1, 3)

y = -4 + 2 = -2 ----> we have the point (-4, -2)

These are the intersection points.

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The term 2500 in the function has to do with the amount of money that is to be paid after the down payment. Option D

We know that a function has to do with a mathematical rule that can be used to solve a problem. In this case the problem that we have is the payment for a car that has been purchased on loan.

The function that can be used to model the payment for this car be applied in the form a straight line graph. If we apply it in the form a straight line graph then we would have the problem being to be plotted on a graph and so does the amount that he has to pay each month.

We must all recall that he has payed  down payment of about $3000. There is still an unknown balance that he has to pay and that payment would continue until we have the complete payment done.

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Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to get the scale factor

we can use the coordinates of the vertices of the small image and the vertices of the large image to get this

We have;

(2,5) going on to give (6,15)

As we can see, the vertices of the small shape are multiplied by 3 to give that of the big shape

So also we can see for the other vertices

This means that the scales factor is 1 to 3

1/2 gallons of water rush down the slide each seconds.

For the given question-

Rate of running water = 1 half gallon every 3 seconds.

Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.

It means-

In every 3 seconds ----> 3/2 gallons water flows.

Thus for 1 sec, divide both side by 3.

1 seconds ----> 1/2 gallons water flows.

Therefore, 1/2 gallons of water rush down the slide each seconds.

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