Create a two column proof for each question. Please help!!

Answer:

Volume of the liquid left in the container will be 80 ml.

Step-by-step explanation:

Two containers A and B having equal volumes of the liquid has been shown in the figure attached.

Let the volume of the liquid in each container = x ml

120 ml of the liquid was poured in container B from container A.

Volume of liquid in container B = 4 × Volume of the liquid in container A

x + 120 = 4(x - 120)

x + 120 = 4x - 480

4x - x = 480 + 120

3x = 600

x = 200 ml

Volume of the liquid left in container A = 200 - 120

                                                                    = 80 ml

Therefore, volume of the liquid left in the container A will be 80 ml.

Answer:

20 miles

Step-by-step explanation:

1 : just use the line to trace how long it would be

Answer:

670 cans of fruit

Step-by-step explanation:

sorry if this answer is wrong

Answer:

2) 14 times  3) 210 times

Step-by-step explanation:

2) every second, a monarch butterfly will beat its wings 14 times

3) lets use the following formula

An=A1 +(n-1)d

A15= 14 + (15-1)14

A15= 14+14*14

A15= 14+196

A15= 210

210 times in 15 seconds

Answer:

it must be 8cm + 9 cm

Step-by-step explanation:

A Triangel has three sides: a, b, c

The rule is, that in the triangle it is always:

a+b>c

a+c>b

b+c>a

The given side is 13 cm, so the two other sides need to be bigger than 13 cm.

5 cm + 8 cm = 13 cm - cannot be the two sides

6 cm + 7 cm = 13 cm - cannot be the two sides

7 cm + 2 cm = 9 cm < 13 cm - cannot be the two sides

8 cm + 9 cm = 17 cm > 13 cm - these are the sides you looked for!

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            [tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]

By using integration formula

[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 [tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]

On integration , we get

=   [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]

[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]

= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]

After simplification and cancellation we get

 =  [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]

on calculation , we get

= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]

On L.C.M  15

= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]

= 25 351.2 units²

Conclusion:-

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Answer: B

Step-by-step explanation:

A parabola is defined using both a directrix and a focus.

To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”

Hope this helps! :)

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)

Answer:

no

Step-by-step explanation:

Answer:     I thinks its D if im wrong sorry

Step-by-step explanation:

Answer:

Initial value is 100

Step-by-step explanation:

A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)

100/5 = 20

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20

Initial value is 100, which is the total number of songs they want

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

y = -20x + 100

Answer:

Step-by-step explanation:

Step-by-step explanation:

substitute the value of y in terms of x

-2x - 3(6x-11)= -7

-2x - 18x+ 33=-7

-20x= -40

x = -40/-20

x= 2

substitute x=2 in first equation

y= 12-11

y= 1

Answer:

D (2, 1)

Step-by-step explanation:

on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)

Answer: C

Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.

OR

Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.

Cherry: CL, CG, CO

Lemon: CL, GL, OL,

Grape: GC, GL, GO

Orange: CO, GO, LO

CL, CG, CO, GL, GO, LO

Answer:

1. certain

2.15/31

3.40%

4.unlikely

Answer:

I got - 5 as an answer.

I don't think I made a mistake.

Please if you find any error, contact me in the comment section.

Step-by-step explanation:

[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]

Answer: width = 36 m

Step-by-step explanation:

Width = Volume / (height x length)

Width = 13500 / (25 x 15)

= 13500/375

= 36 m

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Learn more about Cramer's rule

https://brainly.com/question/22247684

#SPJ2

Answer:

P = 72 mm

Step-by-step explanation:

Since all the angles are equal, this triangle is an equilateral triangle.

That means all the sides are equal.

All sides have length 24

P = 24+24+24

P = 72 mm

Answer:

$1407.15

Step-by-step explanation:

$1,770.00*0.25= $442.5

$1.770-$442.50 = $1327.5

$1327.5*0.06 = $79.65

$1327.50+$79.65 = $1407.15

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

Answer:

c.

Step-by-step explanation:

That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too  because negative x negative = positive

CCCCCCC

Answer:

C & D

Step-by-step explanation:

[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]

Answer:

The statement true about the results of the survey is:

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

And operate:

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

CBA = 180 - 70 (linear pair)

=110

ACB = 180- (20+110)

= 180-130 = 50

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )

h = [tex]\sqrt{58}[/tex] → B

Answer:

It's probably B

Step-by-step explanation:

you use the pythagorean theorm

a^2+b^2=c^2

3^2+7^2=c^2

9+49+=c^2

[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]

[tex]\sqrt{58}\\[/tex]=c

Answer:

3/4

Step-by-step explanation: