rationalise the following 1/√7

Answers

Answer 1

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

         Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]1\sqrt{7}[/tex]

[tex]= \frac{1}{7} \sqrt{7}[/tex] (Decimal: 0.377964)

OR

[tex]\frac{1}{\sqrt{7} }[/tex]

[tex]= \frac{1}{\sqrt{7} } X \frac{\sqrt{7} }{\sqrt{7} }[/tex]

[tex]= \frac{\sqrt{7} }{(\sqrt{7})^{2} }[/tex]

[tex]= \frac{\sqrt{7} }{\sqrt{7} }[/tex]

I don't really know because both of them seem right..

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀


Related Questions

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d = 420 minus 65 t. What is the practical meaning of the d-intercept? a. Initially the car is 355 miles from its destination. b. Initially the car is 420 miles from its destination. c. Initially the car is 65 miles from its destination. d. Initially the car is 485 miles from its destination.

Answers

Answer:

the correct answer is b. Initially the car is 420 miles from its destination.

Step-by-step explanation:

11.Area of Triangle is 18 cm sq. and Sum of Base and Altitude is 12 cm. The Base and Altitude are:

(1 Point)

4 , 8 4 cm, 8 cm

8, 4 8cm, 4 cm

 6 , 6  6 cm, 6 cm

10 , 2 10 cm, 2 cm


Answers

Answer:

base and altitude both are 6 cmand 6cm

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

4 cm

Step-by-step explanation:

Volume of milk

LBH

L= 8, B= 5 and H =12

5×8×12=480

After rotation

L= 8, B=15 and H=x

V=LBH

480=8×15×x

480=120x

x=4cm

Answer:

The depth of the milk is 4cm when turned

Step-by-step explanation:

First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)

5x8x12=480 cm^3

The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same

When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.

8x15xh=480

120h=480

h=4

The depth of the milk is 4cm when turned

Plz help ASAP ill give brainliest What is 600 square

Answers

Answer:

360,000

Step-by-step explanation:

When you square something you multiply it by itself. With that in mind, 600 square or 600^2 would be 600x600 which equals 360,000. Please mark as brainliest.

Given the following angles, what ray is the common side of ZCFD and ZDFE?
D
E
0
Ray FD
Ray FE
Ray FC

Answers

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

Melody wants to buy a present for her friend for her birthday. She wants to purchase a CD that costs $18. She thought she had $20 in her bank account, but she really has $16. What was her percent error?

Answers

Answer: 20%

Step-by-step explanation: $20-$16=$4. 4/20=1/5 or 20%.

Answer: Melody's percent error was 20%

Step-by-step explanation:

20-16=4

4/20=1/5

Suppose that F(x) = x? and g(x) = -3x? Which statement best compares the
graph of G(x) with the graph of F(x)?

Answers

Answer:

flipped over the x-axis and stretched vertically

Step-by-step explanation:

Multiplying y by a value greater than 1 results in a vertical stretch. When the sign of it is negative there is a reflection over the x-axis. The appropriate choice is shown below.

__

The second attachment shows how the graph is flipped and stretched.

D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?

Answers

Answer:

20 gesse will fill the gap

Explanation:

We were told that the V forms a right angle which means the angle is at 90 degrees.

From trigonometry, for a right angle triangle we have the opposite, hypotenose and adjacent, then here the 12 side is the opposite and 16 sides is the adjacent, then the hypotenose will be the gap we are looking for using below expression

a²+ b²= c²

So,

12²+ 16²= c²

144 + 256 = c²

c=√(144 + 256)

c = √400

c=20

Therefore, 20 gesse will fly in the missing gap of the V formation.

CHECK THE ATTACHMENT FOR THE TRIANGLE

BEST OF LUCK

Will give Brainliest, Please show work.

Answers

Answer:

Hi, there!!

Hope you mean the answers in the solution.

Hope it helps...

Answer:

Step-by-step explanation:

7)

JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

50 +∠J = 180

      ∠J = 180 - 50

      ∠J = 130

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 50

∠M = ∠J

∠M = 130

8)JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

100 +∠J = 180

      ∠J = 180 - 100

      ∠J = 80

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 100

∠M = ∠J

∠M = 80

earth is 93 million miles from the sun, while mars is 142 million miles from the sun. Theoretically, what is the closest distance mars could be to earth

Answers

Answer:

169.74

Step-by-step explanation:

this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 =  c^2 so basically

93^2 + 142^2 = c^2

8649 + 20164 = 28813

28813 square root = 169.74

Find the constant of proportionality (r) in the equation y = r x

Answers

Answer:

r = 11

Step-by-step explanation:

y = r x

r is the constant of proportionality

To find r pick any values of x and y provided and substitute it into the above formula and solve for r.

That's

using

x = 2

y = 22

We have

22 = 2r

Divide both sides by 2

r = 11

Therefore the constant of proportionality is 11

Hope this helps you

A dolphin is swimming with her friend. The dolphin jumps to a height of 4.5 meters above the surface of the water as her friend swims 9.8 meters directly below her.

Answers

Answer:

-5.3 meters

The dolphin's friend is 5.3 meters below the water surface

Step-by-step explanation:

Complete question below:

A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?

Solution

The dolphin jumps to a height of 4.5 meters above the surface of the water

Her friend swims directly 9.8 meters below her

The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her

=4.5 meters - 9.8 meters

= -5.3 meters

-5.3 meters means below the water surfaces

This means, the dolphin's friend is 5.3 meters below the water surface



Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.

Answers

Answer:

30.00

Step-by-step explanation:

Given the expression [tex]sin^{-1} 1/2[/tex], the following steps must be taken to evaluate the expression.

[tex]Let\ y = sin^{-1}1/2[/tex]

[tex]y = sin^{-1} 0.5[/tex]

From the calculator, the value of y wil give;

[tex]y = 30\\\\y = 30.00 (to\ the \ nearest \ hundredth)[/tex]

Hence [tex]sin^{-1} 0.5 = 30.00[/tex].

Answer:

Step-by-step explanation:

The answer is 0.52

Hope that helped

Someone pls help me . I will mark you brainliest !! thank you sm .

Answers

Answer:

first one is 27.89, the second is 20.

Step-by-step explanation:

1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.

Your equation will be set up like this : 9.50x +75 = 340

So, to get x, we must isolate it. so subtract 75 from both sides

9.50x +75 -75 = 340 -75           9.50x = 265

Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50

9.50x/9.50 = 265/9.50          so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.

2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120

So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.

6x/6 = 120/6                  so, x = 20 minutes.

solve for x 4(x+2)=48

Answers

Answer: 10

Step-by-step explanation:

4(x+2)=48

4x+8=48

4x=40

x=10

Answer:

x=10

Step-by-step explanation:

4(x+2)=48

Divide each side by 4

4/4(x+2)=48/4

x+2 = 12

Subtract 2 from each side

x+2-2= 12-2

x = 10

I promise i will mark as brainiest

Answers

Answer:

A

Step-by-step explanation:

[tex] \frac{2003}{n} = z + \frac{23}{n} [/tex]

where z is an integer

[tex]2003 = nz + 23[/tex]

[tex]nz = 1980[/tex]

[tex]nz = {2}^{2} \times {3}^{2} \times 5 \times 11[/tex]

possible values of n

n= {1980, 990, 660, 495, 396, 330, 198, 180, 165, 132, 99, 90, 60, 45, 36, 30, 20, 18, 15, 5, 3}

cardinality of n=21

In the first quadrant you start at 5, 6 and move 4 units down. What point will you end up at? Thanks for your help! - Someone who's better at English than math

Answers

Answer:

(5, 2)

Step-by-step explanation:

(5, 6) go down 4 units means subtract 4 from the y

(5, 2)

The point to end up will be (5, 2).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

In the first quadrant you start at (5, 6 ) and move 4 units down.

Now,

Since, In the first quadrant you start at 5, 6 and move 4 units down.

Hence, The end up point = (5, 6 - 4)

                                       = (5, 2)

Thus, The point to end up will be (5, 2).

Learn more about the coordinate visit:

https://brainly.com/question/18269861

#SPJ5

10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue.

Answers

Answer:

101

Step-by-step explanation:

Given the following :

Number of soldiers = 10201

They are queued such that the number of queues = number of soldiers in each queue

Let number of queues = q

Therefore, if number of queues equals number of soldiers per Q,

Then ;

q × q = 10201

q^2 = 10201

Take the square root of both sides

q = √10201

q = 101

Number of soldiers per queues = 101

The bottom of the swimming pool seem to be raised 3m above with water of refractive index 4/3. The depth of water is:
A. 12m
B. 29m
C. 4m
D. 6m


(will mark the brainliest with explanation)​

Answers

B is your answer have a nice day

Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D

Answers

The answer to this question is D

2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated. 3) If the area has been increased 40 times in size, how much rice will be cultivated (excluding the wastag

Answers

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer

Answers

Answer:

4 1/3

Step-by-step explanation:

3 + 5 + 4 + 3 + 5 + 6 = 26

26/6 = 4 2/6 (4 1/3)

Answer:

13/3

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of terms

( 3+5+4+3+5+6) /6

26/6

Divide top and bottom by 2 to simplify the fraction

13/3

Let $n$ be a positive integer. (a) Prove that \[n^3 = n + 3n(n - 1) + 6 \binom{n}{3}\]by counting the number of ordered triples $(a,b,c)$ of positive integers, where $1 \le a,$ $b,$ $c \le n,$ in two different ways. (b) Prove that \[\binom{n + 2}{3} = (1)(n) + (2)(n - 1) + (3)(n - 2) + \dots + (k)(n - k + 1) + \dots + (n)(1),\]by counting the number of subsets of $\{1, 2, 3, \dots, n + 2\}$ containing three different numbers in two different ways.

Answers

Answer:

Description of the given points can be defined as follows:

Step-by-step explanation:

In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, they get a grumpy face.    

In point b,  the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.

Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.  

A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).  

Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.

(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.  

First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.

17. a(y + c) = b(y - c)
How do I isolate y?

Answers

Expand the products on both sides:

[tex]a(y+c)=b(y-c) \implies ay+ac=by-bc[/tex]

Move all terms containing y to one side:

[tex]ay+ac=by-bc \implies ay-by=-ac-bc[/tex]

Factor out y :

[tex]ay-by=-ac-bc \implies y(a-b)=-ac-bc[/tex]

Solve for y :

[tex]y(a-b)=-ac-bc \implies y=\dfrac{-ac-bc}{a-b}=-\dfrac{c(a+b)}{a-b}=\dfrac{c(a+b)}{b-a}[/tex]

The sum of two numbers, x and y, Is 12. The difference of x and two times y is 6. What are the values of x and y?
A. x=8, y= 4
B.x= 10, y= 2
C. x = 18, y=-6
D. X= 20, y=-8​

Answers

Answer:

B. x = 10, y= 2

Step-by-step explanation:

10 plus 2 is 12 and when 2 is doubled and then subtracted from 10, the difference is 6

HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4

Answers

Answer:

2 hrs, 24 min

Step-by-step explanation:

Sally:  in one hour, she can paint 1/4 of the room.

Joe: in one our, he can paint 1/6 of the room

Hour one: 1/4+1/6=3/12+2/12=5/12

1÷5/12=1*12/5=12/5

12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes

Answer: 2.4 hours

Step-by-step explanation:

1/4 1/6

LCM

3/12+2/12=5/12 repricical 12/5 =2.4

2. A curve has equation y = x2 – 2x - 3. A point moves along the curve in such a way that at P
the y coordinate is increasing at 4 units per second and the x coordinate is increasing at 6
units per second. Find the x coordinate of P.
[3]

Answers

Answer:

The x coordinate of P is [tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Let is find the rate of change of the equation in time, which consists in a composite differentiation. That is:

[tex]\frac{dy}{dt} = 2\cdot x \cdot \frac{dx}{dt} -2\cdot \frac{dx}{dt}[/tex]

According to the statement of the problem, these variables are known:

[tex]\frac{dx}{dt} = 6[/tex] and [tex]\frac{dy}{dt} = 4[/tex]

Hence, the x coordinate of P is found by direct substitution:

[tex]4 = 2\cdot x \cdot (6)-2\cdot (6)[/tex]

[tex]4 = 12\cdot x -12[/tex]

[tex]x = \frac{4}{3}[/tex]

The x coordinate of P is [tex]\frac{4}{3}[/tex].

Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7 (2 x 14) – 9 – (17 – 14) = 7 2 x (14 – 9) + (– 17 – 14) = 7 (2 x 14) – (9 – 17) – 14 = 7 2 x (14 – 9) – (17 – 14) = 7

Answers

Answer:

  2 × (14 – 9) – (17 – 14) = 7

Step-by-step explanation:

Evaluate the choices to see which is true.

(2 x 14) – 9 – (17 – 14) = 7   ⇒  28 -9 -3 ≠ 7

2 x (14 – 9) + (– 17 – 14) = 7   ⇒  2(5) +(-31) ≠ 7

(2 x 14) – (9 – 17) – 14 = 7   ⇒   28 -(-8) -14 ≠ 7

2 x (14 – 9) – (17 – 14) = 7   ⇒   2(5)- 3 = 7 . . . . true

a circular hall has a hemispherical roof. the greatest height is equal to the internal diameter .if the capacity of the hall is 43510 m^3 ,then the area of the floor is​

Answers

This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Answer: approximately 1288.87316044698 square meters

Round this however you need to

Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)

Answers

Answer:

t = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Since the points are collinear they lie on the same line.

Thus the slopes between any of the 3 points are equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]

Repeat using

(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m

m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(t - 5) = - 24 , that is

5t - 25 = - 24 ( add 25 to both sides )

5t = 1 ( divide both sides by 5 )

t = [tex]\frac{1}{5}[/tex]

Other Questions
White says, We live in a world where success is defined by income. Do you agree with this statement? Discuss examples in your life that support or negate this idea. What two mountain ranges are represented by the areas labeled C and D on the map above? A. the Arakan Yoma and the Annamese Cordillera B. the Himalayas and the Pamirs C. the Ural and the Sayan D. the Sierra Madre and the Zagros Please select the best answer from the choices provided A B C D Patios can be made by mixing cubic meters of ash, stone, and wood chips in the ratio 5:7:3. How much stone is needed to make 45 cubic meters of patio? what is the number if 4 is subtracted from the sum of one fourth of 5 times of 8 and 10 Explain the role and function of the committees of correspondence. HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Jamie was participating in a market research study regarding computers when he was presented with 24 different computers that varied on four criteria. He was asked to rank all 24 descriptions in terms of his preference for those combinations of features. Which approach to assess the relative importance Jamie places on evaluative criteria was this research using? Jessie and Paul have worked in the same office at DEF Insurance LLC for 6 years. Jessie has always taken extra care to follow the office norms and ensure that everyone has a happy and harmonious working experience. Paul has been very driven during his years at DEF Insurance, and though he started as an insurance agent, he has since been promoted to the agency manager and proudly displays all of his awards on the wall of his new office. According to Learned Needs Theory, Jessie most likely has a high: Group of answer choices Find interval of increase and decrease of f(x) = 8 sin(x) + cot(x), x The following information is for the standard and actual costs for the Happy Corporation: Enter favorable variances as negative numbers. Standard Costs: Budgeted units of production - 16,000 [80% (or normal) capacity] Standard labor hours per unit - 4 Standard labor rate - $26 per hour Standard material per unit - 8 lbs. Standard material cost - $12 per pound Standard variable overhead rate - $15 per labor hour Budgeted fixed overhead - $640,000 Fixed overhead rate is based on budgeted labor hours at 80% (or normal) capacity.Actual Cost:Actual production - 16,500 unitsActual fixed overhead - $640,000Actual variable overhead - $1,000,000Actual labor - 65,000 hours, total labor costs $1,700,000Actual material purchased and used - 130,000 lbs, total material cost $1,600,000Actual variable overhead - $1,000,000Determine the Quantity Variancea. 24,000 unfavorableb. 24,000 favorablec. 12,000 unfavorabled. 12,000 favorable If mowing burns average $115 over 20 minutes how many calories are you burning in one hour Find all real zeros of the function.g(x) = 2x (x - 5)2(x 9)?If there is more than one answer, separate them with commas. zero(s): Atoms contain positive and negative charges. Why is the overall charge on an atom neutral?A. Atoms contain the same amount of protons and electrons, and their charges cancel out.B. The nucleus of an atom contains neutrons, which keep the positive and negative charges balanced.C. Atoms are all negatively charged because electrons are on the outside of the atom.D. Atoms contain the same amount protons and neutrons, and their charges cancel out. Which statements about command economic systems are false? Select all that apply.(Multiple choice btw)Prices are set by the government.Supply and demand are the basis for economic decisions.People's jobs are chosen by the government.Businesses are driven by profit. f(x)=x^2 what is g(x)?pls help me I need some help with simplifying expressions, please. 8y - 9y = Identify the three mistakes and type the correct answers.She was found guilty for murder and was sentenced too a long period of inprisonment.Someone find the mistakes please Aug 19,7:01:38 PMKylie is moving and must rent a truck. There is an initial charge of $50 for the rentalplus a fee of $3 per mile driven. Make a table of values and then write an equation forC, in terms of m, representing the total cost of renting the truck if Kylie were todrive m miles.Number of Miles Driven Total Cost to Rent Truck The table shows the probability distribution of student ages in a high schoolwith 1500 students. What is the expected value for the age of a randomlychosen student?Age131415161718Probability 0.01 0.23 0.26 0.28 0.20 0.02 Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?