determine the value of X?

Determine the Magnitude of FTD?

Step-by-step explanation:

go to the doctor

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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Using an exponential function, it is found that the amount of total sales by the end of the 4th quarter is of $224,671.875.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the parameters are r = 0.15 and A(0) = 45000.

Then:

Then, the total amount is:

T = A(0) + A(1) + A(2) + A(3) = 45000 + 51720 + 59512.5 + 68439.375 = $224,671.875.

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Answer:

p^2+n

Step-by-step explanation:

When you divide exponents, you subtract them and keep the base (the large number attached to the exponent) the same.

If we subtract two negatives (in this case it's p^-2 - p^n) the answer ends up being positive. So, the answer is p^2+n.

Hope this helped!

Answer:

It's A :)

Step-by-step explanation:

ur welcome

Answer:

i took the test⬇️

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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Answer:

19.5959179423 or when simplified, 19.6

Step-by-step explanation:

The number of elements in the Q complement set, n(Q') is 7

From the question, we are to determine the number of elements that are in the given set.

To find n(Q'),

First, we will determine the elements in Q'

NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q

The universal set is

ξ = {numbers between 3 and 19}

That is,

ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

From the given information,

Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}

Therefore,

Q' = {4, 8, 11, 14, 15, 16, 19}

The value of n(Q') is the number of elements in the q' set

That is,

n(Q') = 7

Hence, n(Q') = 7

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Answer:

3110

Step-by-step explanation:

800 + (115500*2%)

800 + 2310

3110

Answer:

\(S_{1000}=500500\)

Step-by-step explanation:

\(\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500\)

Hence, (2/n)* is the radical expression's abbreviated form (3n) as 12 and n have a common factor of 4.

In maths, an expressions is a set of digits, parameters, and operators that denotes a quantity or relationship. Aside from basic arithmetic operations like addition, reduction, multiplication, and division, expressions can also include more intricate operations like exponents, number theory, and trigonometric functions. Expressions might be basic, including a single variable and one operation, like 3x or 5 + 7, or complex, requiring several variables and actions, like (x + y)2 - 2x. Expressions can represent arithmetic, inequalities, and other scientific connections.

given

Due to the fact that 12 and n have a common factor of 4, the radical statement 12n/n can be further reduced.

We can rewrite 12 as 4 * 3 to simplify the expression, and then we can take the square root of 4 to get 2:

√12n/n = √(4 * 3 * n)/n = √(4/n) * √(3n) = (2/√n) * √(3n) (3n)

Hence, (2/n)* is the radical expression's abbreviated form (3n) as 12 and n have a common factor of 4.

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Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

the answer is A

Step-by-step explanation:

Answer:

A = $1311 and 96cents

Step-by-step explanation:

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

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

\(A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96\)

Answer:

8 is how much you get paid ( sorry if I'm wrong)

Answer:

Distributive property is to divide because the meaning of "distribute" is to divide something or part of something.

Example: 3(4+8) = 36

You have to add the numbers first before multiplying since there are parenthesis. Usually, in the distributive property you will always see parenthesis.

Answer:

0.03846154... inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9.75 hours

(3/8) inches / 9.75 hours = 0.03846154... inches per hour

EDIT: in fraction form

Answer:

1/26 inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9 and 3/4 hours, or 39/4 hours

(3/8) inches / (39/4) hours = 1/26 inches per hour

Answer:

The area of the work surface of each station is:

2 feet x 4 feet = 8 square feetTo find the total area of all the workstations, we need to know how many workstations there are. Let's assume there will be 10 workstations.Total area of workstations = 8 square feet x 10 workstations = 80 square feetTherefore, the area of the workstations is 80 square feet.

Answer:

#1. 105.5 because of the nine 4 goes to 5

#2. 67,990,000 because of the 4 it doesn't go up

#3. -4.1 because of the 4 the 0 goes to 1

if the number place before the one you are rounding is 5,6,7,8,or 9you go up by one and the rest becomes zeros

if the number place before the one you are rounding is 0,1,2,3,or 4 you stay the same and the rest becomes zeros

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The x-intercept for function f(x) = −23x + 8 is (8/23, 0)

In this question, we have been given a function f(x) = −23x + 8

We need to find the x-intercept for given function f(x)

Let f(x) = y

So, given function becomes,

y = −23x + 8

To find the x-intercept, set y = 0,

0 = -23x + 8

23x = 8

x = 8/23

Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)

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Answer:

840 ( D )

Step-by-step explanation:

GIVEN DIGITS : 1,2,3,4,5,6,7,8  

Number of odd numbers = 4

Number of even numbers = 4

therefore the number of odd numbers with 4 different digits can be formed by the same way the number of even numbers ( without repetition )

Hence the number of ways odd numbers with 4 different digits = Total number of ways of forming 4 digit numbers / 2

8*7*6*5 = 1680 / 2 =  840 ways

Answer:

C

Step-by-step explanation:

I think it is C because if you do 4+5+2=11 so, everyone answer.

A) 4(5+2)=28

B) 4x5x2=40

C) (4+5)+2=11

D) (4+5)+(4+2)=15

so, i think it is C

Answer:

A. 10 is less than or equal to 1.75+0.65m

B. D

Step-by-step explanation:

The vectors in R4 of length 5 that make an angle of 45◦ with the positive y-axis and 60◦ with the negative x-axis can be written as \($\vec{v} = \left(\frac{\sqrt{25}}{\sqrt{3+2w^2}}\sqrt{3}, \frac{\sqrt{25}}{\sqrt{3+2w^2}}, -\frac{\sqrt{25}}{\sqrt{3+2w^2}}, \pm \sqrt{\frac{25-3y^2}{2y^2}}\right)$\).

A vector in R4 making an angle of 45◦ with the positive y-axis and 60◦ with the negative x-axis can be written as:

\($\vec{v} = (v_1, v_2, v_3, v_4) = (x, y, -z, w)$\)

where \($x = y\tan60° = y\sqrt{3}$ and $z = y\tan45° = y$\)

The length of the vector is:

\($|\vec{v}| = \sqrt{x^2 + y^2 + z^2 + w^2} = \sqrt{y^2\left(\sqrt{3}^2 + 1^2 +1^2 + w^2\right)} = \sqrt{y^2\left(3 + 2w^2\right)} = 5$\)

Therefore, \($y^2\left(3 + 2w^2\right) = 25$\)

Solving for y and w,

\($y = \frac{\sqrt{25}}{\sqrt{3+2w^2}}$\\\\$w = \pm \sqrt{\frac{25-3y^2}{2y^2}}$\)

Therefore, the required vector is:

\($\vec{v} = \left(\frac{\sqrt{25}}{\sqrt{3+2w^2}}\sqrt{3}, \frac{\sqrt{25}}{\sqrt{3+2w^2}}, -\frac{\sqrt{25}}{\sqrt{3+2w^2}}, \pm \sqrt{\frac{25-3y^2}{2y^2}}\right)$\)

Thus, all the vectors in R4 of length 5 that make an angle of 45◦ with the positive y-axis and 60◦ with the negative x-axis can be written in the form of the vector \($\vec{v}$\) as given above.

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Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

John now has X - 3

and splits the remainder equally between himself and his brothers

Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).

Jack and John both eat half of the apples they have been given

They now have (X-3)/3/2, or just (X-3)/6

Together the three brothers have 4 apples left

Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)

From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:

4 = (X-3)/3 + (X-3)/3

From there we can do the same trick, since now we have two terms that are both something/3:

4 = 2(X-3)/3

Multiply both sides by 3, divide both sides by 2:

6 = X - 3

Add 3 to both sides

9 = X

Answer:

8 or 9

Step-by-step explanation:

John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8.  Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8