a cube has edge length 10 cm. starting at the vertices dots are placed along every edge at 1cm intervals. how many dots will there be in total once the pattern has been completed?​

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

Answer: n = 7

(this website may help: https://www.symbolab.com/)

Step-by-step explanation:

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

What is (2x² + 9x + 7) = (x + 1) ?

2x² + 9x + 7 = x + 1

2x² + 9x - x + 7 - 1 = 0

2x² + 8x + 6 = 0

2(x² + 4x + 3) = 0

x² + 4x + 3 = 0

x² + 3x + x + 3 = 0

x( x + 3) + 1(x + 3) = 0

(x + 3)(x + 1) = 0

So, option (D) x + 1 is correct. [Answer]

Answer:

[tex]Interval = (-2,1.5)[/tex]

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

[tex]Interval = (-2,1.5)[/tex]

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Answer:

Step-by-step explanation:

If the window is truly a rectangle then both diagonals are equal. That's one of the properties of a rectangle.

Answer: 10 feet

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

Answer:

equilateral acute. Because it is less than 90 and all equal

Answer:

B

Step-by-step explanation:

Answer:

54,000+800+70+2

Step-by-step explanation:

Answer:

Here is an answer

54,000+800+70+2

Answer:

this triangle is a acute angel so it 3

Answer:

D   51.3%

Step-by-step explanation:

Number of students who bought popcorn: 80

Total number of students: 156

percent = 80/156 * 100% = 51.3%

Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].  

[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units

In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value.  If you are looking for the angle of the vector, you need to use the formula,Ф =  [tex]arctan(y/x)[/tex].  But because the x, value is negative, the rule is that we add π to this value.

Plug in the values:

arctan(13/-10) + π = 127.56° or 2.226 radians

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

Answer:

The height in feet of the basketball hoop would be 10 feet.

Step-by-step explanation:

if 1 inch = 5 feet

then 2 inches = 10 feet

Hope this helped :)

Answer:

10 feet I think

Step-by-step explanation:

If 1 Inch is = to 5 feet then 2 inches must be = to 10 inches because 2 x 5 = 10

Answer:

When you are graphing inequalities you know if it's an open circle or closed circle because when the dot is closed it means that the inequality includes the number and when it's open it does not include the number in the inequality.

Step-by-step explanation:

I'm sorry if this isn't the best answer I tried my best:))

Answer:Distributive

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

37.7

Step-by-step explanation:

Circumference of circle =2pir

I took pi=3.14

C=2xpix6=37.7square ft

Answer:

2(x^2 +4)-5

Step-by-step explanation:

6^2= 36

36+4= 40

40x2=80

80-5=75

6(6^2 + 4) -5

Answer:

12 feet

Step-by-step explanation:

[tex] \sin(41.5) = \frac{8}{x} [/tex]

[tex]x \sin(41.5) = 8[/tex]

[tex]x = \frac{8}{ \sin(41.5) } [/tex]

[tex]x = 12 [/tex]

(rounded to the nearest whole foot)

Answer:

Slope-intercept form y = mx + b

m = slope (-3)

b = y-intercept (5)

hence, the slope-intercept form is:

y = -3x + 5

This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

Part A:

[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]

Part B:

[tex]P_3=0.24321[/tex]

Part C:

[tex]Average\ Number:=1.6817[/tex]

Step-by-step explanation:

Given data:

Mean =μ= 40 calls

Service Rate=λ=18 calls

Solution:

Formula:

[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]

Where i is access lines

Part A:

Probability of 0 access line, i=0:

[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]

[tex]P_0=0.13298[/tex]

Probability of 1 access line, i=1:

[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]

Probability of 2 access line, i=2:

[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]

Probability of 3 access line, i=3:

[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]

Part 2:

Only 3 users can access simultaneously, denied Probability is P_3(4th access line)

[tex]P_3=0.24321[/tex]

Part 3:

Average Number:

[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]

Answer:

sides.

Step-by-step explanation:

Answer:

68.56 m

Step-by-step explanation:

circumference of semi-circle:  15π/2 = 23.56

23.56 + 12 + 12 + 21 = 68.56

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

Answer:

angle O is equal to 41°

I hope it's helps you

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)

Answer:

B

Step-by-step explanation:

B gives you 8/12, which can be simplified down to 2/3.