The Science Club has 6 members, 4 girls and 2 boys. What is the ratio of girls to boys in the Science Club?

Answer:

Volume of cone = 314 in³

Step-by-step explanation:

Radius of the cone (r) = 5 in

Height of the cone (h) = 12 in

[tex]Voume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times {(5)}^{2} \times 12\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times 25 \times 12\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times 300 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \pi \times 100\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 314 \: {in}^{3} [/tex]

Answer:

A: -11

B: Two complex solutions

Step-by-step explanation:

The discriminant of this equation is 3^2-20=9-20=-11. Since the discriminant is negative, its square root will be an imaginary number, and there will be two complex solutions. Hope this helps!

Answer:

A:-11

B: has no real solutions

Step-by-step explanation:

For this equation: a=1, b=3, c=5

1x2+3x+5=0

Step 1: Use quadratic formula with a=1, b=3, c=5.

x=

−b±√b2−4ac

2a

x=

−(3)±√(3)2−4(1)(5)

2(1)

x=

−3±√−11

2

Answer:

No real solutions.

Answer:

[tex]\large \boxed{(-1,-6),(-1,10)}[/tex]

Step-by-step explanation:

Point A must be on a circle with centre at (5,2) and radius 10.

The centre-radius form for the  equation of a circle is  

(x – h)² + (y – k)² = r², where

(h,k) = the coordinates of the centre and

     r = the radius

Thus, the equation for this circle is

(x - 5)² + ( y - 2)² = 10²

Substitute the value for x and solve for  y:

[tex]\begin{array}{rcl}\\(x - 5)^{2} +( y - 2)^{2} &=& 10^{2}\\(-1 - 5)^{2} +( y - 2)^{2} &=& 100\\(-6)^{2} +( y - 2)^{2} &=& 100\\36 +( y - 2)^{2} &=& 100\\( y - 2)^{2} &=& 64\\y - 2 = -8 & \qquad & y - 2 = 8\\y = \mathbf{-6} & \qquad & y = \mathbf{10}\\\end{array}\\\text{The possible coordinates of A are $\large \boxed{\mathbf{(-1,-6),(-1,10)}}$}[/tex]

The figure below shows the circle intersecting the line x = -1 at (-1,-6) and (-1,10).

Answer:

Step-by-step explanation:

[tex]V=whl=3*4*2=24units^3[/tex](grey)

[tex]V=whl=6*8*4=192units^3[/tex](green)

They are similar, the green is just double in size so a ratio of 1:2

Answer:

The answer is -3.1, or 3 1/10.Since diving a negative and a positive equals a negative, your quotient will be negative. You can start by removing the 0.5, and divide 15 by 5 which is 3. Then with the 0.5 from -15.5, divide it by 5 and you get 0.1. 3 plus 0.1 is 3.1, and since it has to be negative, it's -3.1.

Step-by-step explanation:

i tried, have a nice day (:

Answer: 1/125,000

Step-by-step explanation:

If the lenght of the building is L, the height is H, and the width is W, the volume of the building is V = L*H*W

Then for the model we will have that each measure is 1/50 times the original, this is:

lenght = L/50

height = H/50

widht= W/50

The volume of the scale model is:

V' = (L/50)*(H/50)*(W/50) = L*H*W/50^3

So we have the volume of the actual building divided 50^3

This means that the volume of the scale is 1/50^3 = 1/125,000 times the volume of the actual building.

Answer:

Natalie arrived at 3:55 pm or 15:25

Step-by-step explanation:

Start time is 3:00

The first two friends arrived at 10 minutes after 3. Arrival time = 3:10

Natalie arrived 45 minutes later. Arrival time is 3:10 + 45 = 3:55

Natalie arrived at 3:55, using 24-hour formats, the arrival time is 15:55

Step-by-step explanation:

4x - 3 = 4x + 5

4x - 4x = 5 + 3

0 = 8

x is disappear and 2 both sides are not equal

Answer:

If you subtract 4x from both sides there are different numbers so the equation isn't equal so the equation is impossible

4x-4x=3

4x-4x=5

3≠5

Hope this helps

Step-by-step explanation:

Answer:

[tex] \cos \bigg( \frac{7\pi}{12} \bigg)= \frac{1 - \sqrt{3} }{2 \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \cos \bigg( \frac{7\pi}{12} \bigg) \\ \\ = \cos \bigg( \frac{7 \times 180 \degree}{12} \bigg)\\ \\ = \cos \bigg( {7 \times 15 \degree} \bigg)\\ \\ = \cos \bigg( {105 \degree} \bigg)\\ \\ = \cos \bigg( {60\degree + 45 \degree} \bigg) \\ \\ = \cos {60\degree .\cos 45 \degree} - \sin {60\degree .\sin 45 \degree} \\ \\ = \frac{1}{2} . \frac{1}{ \sqrt{2} } - \frac{ \sqrt{3} }{2} .\frac{1}{ \sqrt{2} } \\ \\ = \frac{1}{2 \sqrt{2} } - \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ \huge \purple{ \boxed{ \cos \Bigg( \frac{7\pi}{12} \Bigg)= \frac{1 - \sqrt{3} }{2 \sqrt{2} } }}[/tex]

The exact value of cos (7 pi/12) would be,

⇒ cos (7 pi/12) = - 0.2588

We have to given that,

An equation is,

⇒ cos (7 pi/12)

Now, WE can change it into degree as,

⇒ cos (7 pi/12)

⇒ cos (7 × 180 / 12)

⇒ cos (7 × 15)

⇒ cos 105°

⇒ cos (90 + 15)°

⇒ - sin 15°

⇒ - (√3 - 1) / 2√2

⇒ - 0.2588

Thus, The exact value of cos (7 pi/12) would be,

⇒ cos (7 pi/12) = - 0.2588

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4 - x < 9

Subtract 4 from both sides

4 - x - 4 < 9 - 4

Now we have:

- x < 5

Divide both sides by -1

x < -5

When you divide an inequality by -1, the sign flips

Thus, your answer would be:

x > -5

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Answer:

13 packages

Step-by-step explanation:

We need to first find the area of the composite figure. We can draw a horizontal line through the figure so that it is broken up into two rectangles.

The top rectangle has dimensions of 9 ft by 2 ft, while the bottom rectangle has dimensions of 3 ft by 7 ft. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the top rectangle has width 9 and length 2, so the area is A = 9 * 2 = 18 square feet. The bottom rectangle has width 7 and length 3, so the area is A = 7 * 3 = 21 square feet. Add these up:

18 + 21 = 39 square feet

We know that each package of tile will cover 3 square feet, so divide 39 by 3 to get the number of packages needed:

39 / 3 = 13

The answer is 13 packages.

Answer:

13

Step-by-step explanation:

Larger rectangle - smaller rectangle

(9×5) - [(5-2)×(9-7)]

45 - (3×2)

45 - 6

39 ft²

1 package : 3 ft²

X packages : 39 ft²

X/1 = 39/3

X = 13 packages

Answer:

x=0.885622

Step-by-step explanation:

Dont forget to round

Answer:

0.77

Step-by-step explanation:

7=9x

9x/9

7=x

7/9=0.77777777777

Answer:

Circle Equation: ( x - 3.8 )^2 + ( y - 7.8 )^2 = 25/36

Step-by-step explanation:

* Knowing a circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k) and the radius being "r" *

Let us substitute values into this equation; provided ( 3.8, 7.8 ) is the center:

( x - 3.8 )^2 + ( y - 7.8 )^2 = r^2,

Now substitute value of r, or rather the radius 5/6:

( x - 3.8 )^2 + ( y - 7.8 )^2 = ( 5/6 )^2 ⇒

Circle Equation: ( x - 3.8 )^2 + ( y - 7.8 )^2 = 25/36

* Sorry this wasn't answered earlier *

Formula for the perimeter of a quarter circle: C = ((pi x 2 x r) / 4) + r + r

32.13 = (6.28r / 4) + 2r

32.13 = 1.57r + 2r

32.13 = 3.57r

r = 9 yards

Hope this helps! :)

[tex]\left \{ {{y=2} \atop {x=2}} \right. x^{2} x^{2} x^{2} x^{2} x^{2} x^{2}[/tex]Answer:

A

Step-by-step explanation:

Answer:

Lower Quartile: 23

Median: 30

Upper Quartile: 43

Interquartile range: 20

Answer:

8.9%

Step-by-step explanation:

Probability of picking a red marble first: [tex]\frac{2}{10}=\frac{1}{5}[/tex]

Probability of picking a blue marble (no replacement): [tex]\frac{4}{9}[/tex]

[tex]\frac{4}{9} *\frac{1}{5} =\frac{4}{45} = 8.8888888888...%[/tex] % ≈ 8.9%

Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

Answer:

A 25%

Step-by-step explanation

the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.

in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.

we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x

Answer:

a postulate

Step-by-step explanation:

a postulate which states that through any two points, there is exactly one line

Yes indeed. That is so. Your statement is a fact. It virtually pulsates with  veracity and truthiness. You can take it to the bank and hang your hat on it. Truer words are seldom written or spoken.

Do you have a question to ask ?

Answer:

C.I = 0.108 ± 0.022

Step-by-step explanation:

In this case, we are given a symmetric confidence interval, and the sample proportion p', is derived by finding the average of the two values.

Therefore, the sample proportion will be:

[tex] p' = \frac{0.086 + 0.130}{2} [/tex]

[tex] = \frac{0.216}{2} [/tex]

= 0.108

p' = 0.108

To find the margin of error, we have:

M.E = ½ * length of confidence interval

Where length of confidence interval = 0.130 - 0.086

= 0.044

Therefore,

[tex] M.E = \frac{1}{2} * 0.044 = 0.022 [/tex]

Margin of error = 0.022

The confidence interval is expressed as:

p' ± M.E

= 0.108 ± 0.022

question: when do you take the SAT test

Answer:

12.68

Step-by-step explanation:

76 degrees /2 = 38

Half the width of 15m forms the lower side of the triangle: 7.5 m

sin(38) = 7.5/h

=12.1820

12.18+.5

12.68

Answer:

3/2 Per wall

Step-by-step explanation:

There are four walls in a room.

6/4 = 3/2

To check your work, you can do 3/2 *4

3/2*4 = 6

Hope this helps!! :)

The number of rolls that each wall requires is 1.5.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

There are four walls in a room.

He is able to cover of the walls in the room using 6 rolls of wallpaper.

let x as the number of rolls that each wall requires.

So, 4x =6 rolls

x=6/4

x= 1.5 rolls

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Answer:

1 pizza is 18 dollars

Step-by-step explanation:

The cost of a pizza will be;

⇒ $18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Now,

Since, The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Hence, The cost of a pizza = $3 × 6

                                         = $18

Thus, The cost of a pizza will be;

⇒ $18

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Answer:

60

Step-by-step explanation:

Looking at case 1.

a * 10^5 + 2a * 10 ^4= 7200000

a * 10 * 10^4 + 2a *10 ^4 =7200000

[10a + 2a] * 10^4= 7200000

12a= 7200000/ 10000

12a= 720

a= 720/12 = 60

Looking at case 2,

a * 10^5 - a * 10^4 = 5400000

a * 10 * 10^4 - a *10^4 = 5400000

10a* 10^ 4 - a * 10^ 4 = 5400000

[10a- a] *10^4 = 5400000

9a = 5400000/10000

9a= 540

a =540/9

a= 60

Answer:

.4 yards of fabric were used for each pillow.

Steps:

2/5=0.4 (or [tex]\frac{2}{5}[/tex])

Answer:

Step-by-step explanation:

These are independent events, so we will just multiply the two probabilities together.

1/6 x 1/6 = 1/36

I'm always happy to help :)

The probability should be [tex]1\div 36[/tex].

Since You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.

So here the probability should be

[tex]= 1\div 6 \times 1\div 6 = 1\div 36[/tex]

Hence, we can conclude that The probability should be [tex]1\div 36[/tex].

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Answer:

P=462+66-9

=528-9

=519

Q=762-26-5

=762-31

: =731