Ursula is starting a new national network of science fiction book clubs. The establishment and expansion of the network is as follows. The original network began with eight people in each club and four clubs in each of two states. Every month, the number of people in each club increases by two and the number of clubs in each state grows by one. The number of states where the groups exist also increases by one every month. The total number of people in the network of book clubs is represented by the expression below, where x is the number of months since the clubs were established.

9(x+6)

Hope it helps.

Do comment if you have any query.

Answer:

Yes it can!

Step-by-step explanation:

The 2 shortest sides how to be bigger than the longest sides when combined

7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.

Answer:

Step-by-step explanation:

If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.

If this is a non-right angle triangle then yes.

Answer:

688.1 cm

Step-by-step explanation:

Area of circle = (π)r^2

Area= π × 14.8^2

Area = 688.1 cm^2 (to the nearest tenth)

Answer:

88 inches

Step-by-step explanation:

Divide the shape into 2 shapes and add all side lengths.

20+8+8+16+12+24=88

(x+2)² + (y+6)² = 64

Given:

=============

Formula's:

===========

equation:

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

[tex]x=5\pm10i[/tex]

Step-by-step explanation:

[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]

Answer:

V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3

Step-by-step explanation:

Answer:

Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

10 squared is 100cm. 100cm*3.14 equals 314cm.

The area of the circle is [tex]314cm^{2}[/tex]

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

Answer:

6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Harley is 8 years younger than India, hence:

x = y - 8.

Jessica is three times older than Harley, hence:

z = 3x.

The sum of the three ages is 88, hence:

x + y + z = 88.

x + x + 8 + 3x = 88

5x = 80

x = 16.

Hence:

y = x + 8 = 24.

z = 3x = 48

The ratio of Jessica's age to India's age is given by:

z/y = 48/24 = 2.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

2x + 76 = 180

2x = 104

x = 52

I hope this helps!

Answer: x=52

Step-by-step explanation:

uh i just knew

Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.

A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.

The area of a rectangle is;

A = Length × Width

A = L × W

Given the data in the question;

To determine the area of the retcangle, we substitute our given values into the expression above.

A = L × W

A = 4.5cm × 3.25cm

A = 16.625cm²

Therefore, the area of the rectangle with the given length and width is 16.625cm².

Learn more about area of rectangle here: https://brainly.com/question/12019874

Answer:

16

Step-by-step explanation:

sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation

W = 4(4)

w = 16

Answer:

you are right it is ^

Step-by-step explanation:

Answer:

It is your answer

Step-by-step explanation:

Your welcome.

Answer:

  D

Step-by-step explanation:

As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.

Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).

Checking the offered expressions when m2=0, we have ...

  A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)

  B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)

  C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)

  D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:

[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]

[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]

[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]

Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:

When k=1

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]

[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]

When k=0

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]

Thus, the square roots of -2i are 1-i and -1+i

Answer:

0.6

Step-by-step explanation:

I used 30 60 90 triangle.

The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.

The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.

For circle h in the given problem,

[tex]JN = 5, \\NK= 4, \\LN =2[/tex],

The value of segment NM is x.  The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,

LN×NM=JN×NK

2×x=5×4

x=20/2

x=10

Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.

Learn more about the interseting chord theorem here;

https://brainly.com/question/5432495

Answer:

-13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Becuase 13's opposite is -13.

(If you still dont understand you can search up negative and positive number lines up to 20!)

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Answer:

Survey all families from a smaller town.

Step-by-step explanation:

It would be more easier to survey families in a small town

Answer:

60 times.

Step-by-step explanation:

Prob( of rolling  a 2) = 1/6

Prob( of rolling  a 3) = 1/6

So Prob( 2 or 3) = 1/6 + 1/6 = 1/3,

So the prediction is 1/3 * 180 = 60.

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

Answer:

20, 22 and 24

Step-by-step explanation:

18 / 3/4

18 x (4/3)

18 x 1.3333

23.9

≅ 24    

So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

Answer:

As Per Provided Information

We have to determine the average speed of his car in kilometres per hour .

Using Formulae

[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]

On substituting the value we get

[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]

Therefore,

So your answer is A) 30 kph .