Solve nine times two thirds .

Leave your answer as an improper fraction. (4 points)

a
eleven twenty sevenths

b
eighteen twenty sevenths

c
eleven thirds

d
eighteen thirds

Answer:

1. Volume = 5128.67 ft³

The volume if sphere is given by:

V = (4/3)πr³

If the tank is cut into half vertically, then the volume of sphere becomes.

V = (4/3)πr³ / 2

If the tank is cut into half again horizontally, then the volume of the sphere becomes.

V = (4/3)πr³ / 4

Hence, as the main tank forms a quarter sphere, its Volume is given by:

V = (4/3)πr³ / 4

It is given in the question that the radius is 70 ft.

Substitute that in the given formula:

V = (4/3)π(70)³ / 4

V = 5128.67 ft³

 2. Volume of tank = 461,814 ft³

Step-by-step explanation:

Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.

Let's list out the information given us:

radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft

Volume of cylinder = πr²h

The tanks have been cut into half, as such:

Volume of tank = ½πr²h

Volume of tank = Volume(tank #1) + Volume(tank #2)

Since the tanks are congruent (same dimensions), we have:

⇒ ½πr²h + ½πr²h ⇒ πr²h

Volume of tank =  π * 35² * 120 = 147,000 π

Volume of tank = 461,814 ft³

3.  1047.2 ft³

Step-by-step explanation:

The following information is missing:

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)

The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet

The volume of a sphere is:

V = 4/3 * π * r³

For a quarter sphere it is:

V = 4/3 * π * r³ * 1/4

V = 1/3 * π * r³

For the smaller mock-up tank:

V = 1/3 * π * 10³

V = 1047.2 ft³

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

Answer:

1/1 or 1

Step-by-step explanation:

Answer:

1 or 1/1

Step-by-step explanation:

Answer:

1/(xy^2)

I hope it will be useful.

Answer:

1/x times 1/y squared

Step-by-step explanation:

Answer:

A. -4

Step-by-step explanation:

−6 − (−2) = -6 + 2

              = -4

Hope this helped :)

Answer:

1:4

Step-by-step explanation:

Ratios and Fractions

It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:

[tex]1 - \frac{1}{5}=\frac{4}{5}[/tex]

We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.

This can be done by dividing 1/5 by 4/5:

[tex]\displaystyle \frac{\frac{1}{5}}{\frac{4}{5}}[/tex]

Operating:

[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]

Expressing it as a ratio: 1:4

Answer:

Y intercept is 12 x intercept is -4

Step-by-step explanation:

Answer:

3.5 kg, 0.5 kg

Step-by-step explanation:

The starting weight is represented by the y intercept, and the slope of the line is 0.5, so that's the average weight gain per month. Hope this helps!

Answer:

coordinated answer: (7,7)

Answer:

72 sec im srry if its wrong i cant see it good

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

your answer will be 14 square root 2cm :)

Step-by-step explanation:

Just got done with the pretest this is correct also known as answer B!

The required length of the hypotenuse is 14√2.

The 2 sides of the right angle triangle are known i.e. 14 centimeters. Length of the hypotenuse to be determined.

The right angle triangle is defined as which contains at least one angle of 90°.

Here, other two side of hypotenuse is 14 centimeter.
Hypotenuse = [tex]\sqrt{14^2+14^2}[/tex]
                     = [tex]14\sqrt{2}[/tex]

Thus, the required length of the hypotenuse is 14√2.  

Learn more about right angle triangle here:
https://brainly.com/question/3770177

#SPJ2

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]

Cross Multiply the expression

[tex]\:20\times x=12\times 15[/tex]

Divide both sides by 20

[tex]\frac{20x }{20}=\frac{180}{20}[/tex]

[tex]x=9[/tex]

Therefore, the value of x = 9

Answer:

-5 is the correct answer

Answer:

-5

Step-by-step explanation:

Answer:

We conclude that:

Step-by-step explanation:

Some background Concepts:

From the graph, it is clear that at x = -10, the graph intersects the x-axis.

So, the x-intercept of the graph is (-10, 0).

It means g(-10) = 0

From the graph, it is clear that at y = 5, the graph intersects the y-axis.

So, the y-intercept of the graph is (0, 5).

It means g(0) = 5

Determining g(-3):

From the graph, it is clear that at x = -3, the value of the function output = 3.5.

In other words,

at x = -3, g(-3) = 3.5

Therefore, we conclude that:

Answer:

-16, -4

Step-by-step explanation:

x² +20x +100 -36 = 0

x² +20x +64 = 0

x² -Sx +P =0, where S= sum of roots, P=product of roots

so what 2 numbers have

S= -20 and P = 64 , ...that ul be -4, -16

or you can use factoring:

( x+16) ( x+4) = 0

x+16 = 0 , x= -16

x+4 =0, x = -4

or you can do quadratic equation, or graph ...

Answer: The Answer is:

Fraction form: x= -32/11

Decimal form: x= -2.90909....

Step-by-step explanation:

1. Add similar elements: 2x+20x=22x

22x+100=36

2. Subtract 100 from both sides:

22x+100-100=36-100

3. Simplify:

22x=-64

4. Divide both sides by 22:

22x÷22=-64÷22

5. Your Answer:

x= -32/11

Answer: 1/2

Step-by-step explanation: 1/2 times 3 is the improper fraction 3/2

Answer:

The answer is 1/2

Step-by-step explanation:

1/3 x 3/2

To break it up you multiply the top numbers to get 3

The you'd multiply the bottom numbers to get 6

so your answer is 3/6 which is also equal to 1/2

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:

let H represent the head's outcome

let T represents the outcome of tails.

if the coin is tossed 3times The total number outcomes are

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Answer: 3√2

√3 . √6 = √(3.6) = √(9.2) = √(3².2) = 3√2

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

[tex] \sqrt{6} [/tex]can be written as [tex] \sqrt{3} \times \sqrt{2} [/tex]

So, lets arrange it.

[tex] \sqrt{3} \times \sqrt{6} = \sqrt{3} \times \sqrt{3} \times \sqrt{2} = 3 \sqrt{2} [/tex]

Hence b = 3.

Answer:

I think A..............

The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.

Learn more:

https://brainly.com/question/17717852

Answer:

basta tirar o x e colocar oque sobrou boa noite espero ter ajudado

Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

Answer:

it is (-20z+8)+(-24)

Step-by-step explanation:

the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.

-5z times 4: -20z

2 times 4: 8

-6 times 4: -24

Answer:

number 2 (-8 -2)

Step-by-step explanation:

Answer: x-3y+21=0

Step-by-step explanation:

move the constant to the left then divide both sides then booom

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1=  2πr1h1

CAS1=  2*3.142*3*1

CAS1=  18.852

CAS2=  2πr2h2

CAS2=  2*3.142*4*2

CAS1=  50.272

The ratio of their curved surface areas

=18.852:50.272

Answer:

The range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Step-by-step explanation:

We know that the set of values of the dependent variable for which a function is defined.

From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.

i.e.

at y = 5, the graph gets its maximum value

at y = -9, the graph gets its minimum value

Thus, the range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Answer:

[tex]log( \frac{1}{ {10}^{ - 5} } ) = log( {10}^{5} ) = 5 log(10) = 5[/tex]

Answer:

X= 4/7

Step-by-step explanation:

I used a calculator :)