What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3

Answer: $54.35

Step-by-step explanation:

If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:

15*X

And the minimum amount they need to collect is $800

Then we will have the inequality:

15*X ≥ $800

Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:

(15*X)/15 ≥ $800/15

X ≥ $54.33...

Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.

Then the inequality is:

X ≥ $54.35

This means that the minimum amount that each one of the 15 students needs to collect is $54.35

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

Therefore it is $84

Hope you understand!

Answer:

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

The area is 22, and to find area you do l*w

so 22/2=11

so 11*3=33

your unknown number is 33

Answer:

b) 18

Step-by-step explanation:

600 - 150 = 450

25x = 450

x = 18

check

25 x 18 = 450

450 + 150 = 600

Answer: I believe it is A

Step-by-step explanation:

Terms are groups of variables and numbers seperated by only + or --.

as for factors, they are multiplers. As long as they mutiply something your fine.

Sorry if its a really bad explanation.

Have a nice day :)

Answer:

A

Step-by-step explanation:

edge

The polar form of z is 6√2(cos(135°) + isin(135°)).

Complex numbers are represented in polar form as the complex number's modulus r and argument combined. Given as  z = r cosθ + i r sinθ = r (cosθ + i sinθ).  the polar form of the complex number z = x + iy with coordinates (x, y) is given. Polar coordinates of real and imaginary numbers in the coordinate system are used to express the polar form. A complex number in a two-dimensional coordinate system is  A = x + i y

Given the point z

From the positive real axis, the angle to the point in the second quadrant is calculated (the x-axis). The only options that make sense for the second quadrant are the 135° angles, which fall between 90° and 180°.

The square root of the sum of the squares of z's components determines its magnitude:

|z| = [tex]\sqrt{x^{2} + y^{2} }[/tex]

here x = -6 and y = 6

|z| = √(-6²) + (6²)

z = 6√2

polar form is

z = 6√2(cos(135°) + isin(135°))

Hence the complex form is 6√2(cos(135°) + isin(135°)).

Learn more about Polar Form of Complex Numbers;

https://brainly.com/question/24245821

#SPJ2

Answer: [tex]2.78m^{2}[/tex]

Step-by-step explanation:

given data:

height of the statue = 80m.

base of the statue = [tex]625m^{2}[/tex].

scale of the statue replica = 1:15.

solution:

[tex]= 1:15^{2} \\\\\= 1:225\\\\[/tex]

[tex]= \frac{625m^{2} }{225}[/tex]

= [tex]2.78m^{2}[/tex]

the area of the replica is [tex]2.78m^{2}[/tex]

Answer:

2.78 m^2 is the correct answer. :)

Step-by-step explanation:

log(7x³/z) = log(7) + log(x³) - log(z).

3log(5) + 2log(x) - log(25) = log(125) + log(x²) - log(25) = log(125x²/25) = log(5x²).

Answer:

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

I know because i am in the future

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear but let me help.

For Maths test,

Point earned = 30

Total point = 43

Percentage = 30/43 × 100 = 69.77%

Social studies test

Point earned = 85.

Total point = 124

Percentage = 85/124 × 100 = 68.55%

From the above, we can see that Jake scored a higher percentage in the Maths test.

Answer:

he saved about 2300$

Step-by-step explanation:

Answer:

20 minutes

Step-by-step explanation:

34 times 45 secs equals 1190 secs,

since there is 60 secs in one minute you would divide,

1190/60 = 19.8333.. mins or 19 mins and 50 secs

Answer:

its c!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

11/12

Decimal form: 0.916 (the 6 is continuous)

Step-by-step explanation:

Answer:

They had 1,352 marbles all together, rounded to the nearest hundred, 1,400.

Step-by-step explanation:

All we have to do is add the number of marbles they collected.

510 + 842 = 1,352

1,352 rounded to the nearest hundred is 1,400.

Answer:

is there any more details?

Step-by-step explanation:

Answer:

any more details please?

Answer:

[tex]B.\ 14.4\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Hence\ here,\\[/tex]

[tex]In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= \sqrt{(6-(-2))^2+(-3-(9))^2} \\Distance\ between\ O\ and\ A= \sqrt{(6+2)^2+(-3-9)^2}\\Distance\ between\ O\ and\ A= \sqrt{(8)^2+(-12)^2}\\Distance\ between\ O\ and\ A= \sqrt{64+144}\\Distance\ between\ O\ and\ A= \sqrt{208}\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units[/tex]

Answer:

x^3-x^2-27x+15 The last one

Step-by-step explanation:

Median = 5

Mean = 5.4444444444444

Mode: 3

Range = 9

Minimum =   1

Maximum =  10

How to find Median:

Arrange your numbers in numerical order.  Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number.  The last step is to find the even number and if you have it, divide it by 2.

Answer: 5

Hope this helps.

9514 1404 393

Answer:

  168

Step-by-step explanation:

Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:

  {1, 2, 3, 4} ⇒ {green, blue, red, yellow}

Then the total number of possible correct colorings is 7·24 = 168.

__

These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.

_____

You'll notice that the last on the attached list most closely matches the one in the problem statement.

Answer:

sorry i wish i could help but i can't understand that

Step-by-step explanation:

Answer:

y=-3x+1

Step-by-step explanation:

your welcome

Answer: 4/-3

Step-by-step explanation:

Slope (m) =  ΔY /ΔX  = 4 /-3

ΔX = 3 – 9 = -6

ΔY = 8 – 0 = 8

Answer:

23[tex]\frac{1}{3}[/tex]m/s

Step-by-step explanation:

We can change the km to m first. 1km = 1000m.

84km/h = 84 000m/h

Then, we can change the h to s. 1h = 3600s.

84 000m/h = 23[tex]\frac{1}{3}[/tex]m/s

Answer:

First one is a withdraw and the second one is above sea level

Step-by-step explanation:

Answer:

The quantity best expressed as -3.2 is a withdrawal of $3.20 The quantity best expressed as +5.1 is 5.1 feet above sea level

Answer:

$6,984.60 per year.

Step-by-step explanation:

Using a normal and very common budget, you should divide your monthly/annual salary into 3 main tiers, which are the following

If we go by this budget then we would need to turn the 20% into a decimal by dividing it by 100 and then multiply that decimal by the person's annual salary.

20% / 100 = 0.20

$34,923 * 0.20 = $6,984.60

Finally, we can see that the individual should be saving roughly $6,984.60 per year.

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-1, 10)

Point (5, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m