Which type of energy refers to the sum of potential and kinetic energies in the particles of a substance?​

Answer:  A) 0.5

Step-by-step explanation:

The denominator should be in the form 1 + e sin θ

Currently the denominator is: 2 + 1 sin θ

Divide the denominator by 2 to get:  1 + 0.5 sin θ

Thus, e = 0.5

Answer:

B

Step-by-step explanation:

the hotpotuse is always the biggest

the rest is pretty easy to determine

The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry. A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

If one of the angle is of 90°  then the triangle is right angled triangle.

We can see that the Hypotenuse is always the biggest side among all the sides.

Then the perpendicular side BC is the second biggest and then the base of the triangle.

Therefore, the order must be AB > BC > AC.

The orders that the sides of the triangle ABC from longest to shortest length will be AB, BC, and AC.

Learn  more about  right angled triangle here:

https://brainly.com/question/27190025

#SPJ5

Answer:

[tex] (42700- 36275) -2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}= 5519.071[/tex]

[tex] (42700- 36275) +2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}=7330.929[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex]n_1 = 41 , \bar X_1 =42700 , s_1 = 2030[/tex]

[tex]n_2 = 41 , \bar X_2 =36375 , s_2 = 1360[/tex]

And for this case we want a 98% confidence interval. The significance would be:

[tex] \alpha= 1-0.98=0.02[/tex]

The degrees of freedom are:

[tex] df = n_1 +n_2 -2= 41+41 -2= 80[/tex]

And the critical value for this case is:

[tex] t_{\alpha/2}= 2.374[/tex]

And the confidence interval would be given by:

[tex](\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}[/tex]

And replacing we got:

[tex] (42700- 36275) -2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}= 5519.071[/tex]

[tex] (42700- 36275) +2.374 \sqrt{\frac{2030^2}{41} +\frac{1360^2}{41}}=7330.929[/tex]

Answer:

All angles in any quadrilateral adds up to 360°

Step-by-step explanation:

We can prove this by using 180(n - 2)

n = 4 for a quadrilateral

180(4 - 2)

180(2)

360°

So, 360 - (125 + 67 + 80) = 88°

Answer:

See below

Step-by-step explanation:

The interior angles of a quadrilateral (having 4 sides) add up to 360 degrees.

=> So, to find x, we'll simply subtract the rest if the angles from 360

So,

=> x = 360-125-67-80

=> x = 88 degrees

Answer:

50% chance.

Step-by-step explanation:

There are 3 numbers that are either greater than 4 or less than 2. They are 1, 5, and 6. There is a 3/6 chance you roll one of them or 50% chance.

Hey there! :)

Answer:

P(greater than or less than 2) = 50%.

Step-by-step explanation:

Numbers greater than 4: 5, 6

Numbers less than 2: 1

Total of 3 numbers that fit the criteria. Therefore:

P(greater than 4 or less than 2) = # of numbers / total

P(greater than 4 or less than 2) = 3 / 6 = 1 / 2

Convert fraction to percent:

1/2 × 100 = 50%

Answer:

Selected option is correct

Step-by-step explanation:

Triangle BDE and BAC are similar because of the two pairs of equal angles (AA)

1. angle B

2. angle BDE = angle BAC

Answer:

Tan<C=2.4

Step-by-step explanation:

Opp=36

Adj=15

Tan<C=opp/adj

Tan<C=36/15

Tan<C=2.4

Hope this helps :) ❤

Answer: x=48°

Step-by-step explanation:

The 3 angles of the triangle add up to 180°. We can set the angles to 180 and solve.

47+85+x=180               [combine like terms]

132+x=180                    [subtract both sides by 132]

x=48

Answer:

x=48

Step-by-step explanation:

Total sum of angles in a triangle =180

47+85+x=180

132+x=180

x=180-132

x=48

Answer: C. y ≤ 2/3x + 1/5

Step-by-step explanation: From 1/5 on the y coordinate plane go up 2 and right 3 and it perfectly matches, so it would be C. 100% on Edge2020.

Answer:

C

Step-by-step explanation:

just did the test.

Answer:

The car travels 83 1/3 meters in 3 seconds.

Step-by-step explanation:

Speed of car  = 100 KM/ hour

1 km= 1000m

1 hour = 3600 seconds

Lets find speed of car in Meters/second

speed of car in m/sec = 100*1000 m/3600 second

here we have taken 1000 for km and 3600 for hour

speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second

speed of car in m/sec = 250/9  m per sec

We know that

distance = speed*time

speed = 250/9  m per sec

time =3 second

distance = 250/9 * 3 meters = 250/3 meters = 83 1/3 meters.

Thus, car travels 83 1/3 meters in 3 seconds.

Answer:

Check the answers to the questions below

Step-by-step explanation:

a) If [tex]\mu_1[/tex] is the average learning rate of the 6th graders without background noise level and [tex]\mu_2[/tex] is the average learning rate of the 6th graders with background noise level

The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.

Null hypothesis, [tex]H_0: \mu_1 = \mu_2[/tex]

b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.

Alternative hypothesis, [tex]H_a: \mu_1 \neq \mu_2[/tex]

c) Assumptions that must be met about the data before she can correctly use independent t-test

There must be random selection of the 6th graders

That the two groups are normally similar in their learning abilities

The division of students into the two groups should be at random

d) She has to  make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.

She can still get accurate results if she include some bias in the selection to prove a particular result.

Answer:

Step-by-step explanation:

Plug in 2 for x.

f(2) = -3(2)² - 7

f(2) = -3(4) - 7

f(2) = -12 - 7

f(2) = -19

Answer:

C

Step-by-step explanation:

(f-g)(x)=(3x-5)-(x+3) = 3x-5-x-3 = 2x-8

Answer:

2x -8

Step-by-step explanation:

f (x) = 3x - 5

g(x) = x + 3,

(f - g)(x) = 3x - 5 - ( x+3)

Distribute the minus sign

            = 3x-5 -x-3

Combine like terms

           = 2x -8

Take a look at the attachment below. It proves that the inverse of matrix P does exists, as option c,

Hope that helps!

Answer:  C

Step-by-step explanation:

Given    a    b

             c    d

Multiply the reciprocal of the determinant by    d   -b

                                                                             -c     a

Determinant = ad - bc = 2(-3) - 4(1)

                                    = -6    -    4

                                    =      -10

[tex]-\dfrac{1}{10}\left[\begin{array}{cc}-3&-4\\-1&2\end{array}\right] \\\\\\\\=\left[\begin{array}{cc}\dfrac{-3}{-10}&\dfrac{-4}{-10}\\\\\dfrac{-1}{-10}&\dfrac{2}{-10}\end{array}\right]\\\\\\\\=\left[\begin{array}{cc}\dfrac{3}{10}&\dfrac{2}{5}\\\\\dfrac{1}{10}&-\dfrac{1}{5}\end{array}\right][/tex]  

Answer:

£1.53 per litre

Step-by-step explanation:

original = 1.02

if it is increased by 2/3 then we do 1.02 / (2/3) =£1.53 per litre

Answer:

C.  (x - 9)(x^2 + 9x + 81).

Step-by-step explanation:

The cube identities are

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Checking against the list the one that fits is the difference formula:

x^2 - 9^2 = (x - 9)(x^2 + 9x + 81).

a=1, b = 9, ab = 1 *9 = 9.

Answer:

b

Step-by-step explanation:

The slope is 3/4 and the y-intercept is y(0,2)

The slope is what we multiply by the variable ( here t) and the y-intercept is the number we add

Answer: 53.333333, 53 1/3

Step-by-step explanation:

The unit rate in this question means how many calories for one ounce.  Thus, you can simply divide 480 by 9 to get 53.3333333

Answer:

Step-by-step explanation:

Calories in a low calorie dinner = 480 calories

Serving at one time = 9 ounce

then,

Unit rate = Amount of calories in one serving

So,

Amount of calorie in 9 serving = 480

Amount of calorie in 1 serving = 480/9

In simple form : 160/3

= 53.33 calories

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Since 15 liters of water flow through a water pipe and enter a tank within 4.5 minutes, the same amount of water would flow through a similar pipe at the same time. Therefore, if two similar water pipes are used, the volume of water that would flow into the tank in 4.5 minutes is 15 × 2 = 30 liters

Therefore, the time it will take to pump 727.5 liters of water into a water tank using 2 similar water pipes is

(727.5 × 4.5)/30 = 109.125 minutes

Answer:

Colin can do this is 272 ways.

Step-by-step explanation:

The first counter goes to Obi and the second to Zeema, so the order is important. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Two counters from a set of 17. So

[tex]P_{(17,2)} = \frac{17!}{(17-2)!} = 272[/tex]

Colin can do this is 272 ways.

Answer:

B.90°counterclockwise

Answer: B

Step-by-step explanation:

A. If you rotate a figure in the first quadrant 180 degrees clockwise it will end up in the third quadrant so the answer can't be A.

B. If you rotate a figure in the first quadrant 90 degrees counterclockwise it will end up in the second quadrant because you will rotate it backwards and as you could see A prime is in the second quadrant.

C.If you rotate a figure in the first quadrant 180 counterclockwise it will end up in the third quadrant. SO the answer can't be it C.

D.If your rotate a figure in the first quadrant 270 counterclockwise it will end up in the fourth quadrant. So the answer can't be D.

Answer:

Option (4)

Step-by-step explanation:

Surface area of a prism = 2B + P×h

where B = Area of the triangular base

P = perimeter of the triangular base

h = height of the prism

B = [tex]\frac{1}{2}(\text{leg 1})(\text{leg 2})[/tex]

Since, (Hypotenuse)² + (Leg 1)² + (Leg 2)² [Pythagoras theorem]

(20)² = (12)² + (Leg 2)²

Leg 2 = [tex]\sqrt{400-144}[/tex]

          = 16 units

Therefore, B = [tex]\frac{1}{2}\times 12\times 16[/tex]

                     = 96 units²

P = 12 + 16 + 20

P = 48 units

h = 7.5 units

Surface area of the prism = 2(96) + (48×7.5)

                                           = 192 + 360

                                           = 552 units²

Therefore, surface area of the given triangular prism = 552 units²

Option (4) will be the answer.

Answer:

5676039

Step-by-step explanation:

-14² + 5675843

Solve for exponent.

196 + 56758

Add the numbers.

= 5676039

[tex]3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\[/tex]

Answer:

may 5 the is squareroot day and it is when the day and the month has the first two digits in the date are the square root of the last two digits. examples 2nd February,2004 3rd March 2009 and the last time we had one was April 4th 2016. The next square root day is May 5th 2025

Answer:

triangle pythagora

Step-by-step explanation:

the pythagora is made by someone special names albert and you ahve to amke three sides a b and c

Answer:

15

Step-by-step explanation:

Answer: 15

Step-by-step explanation: (9-6) + 12

                                              (3) + 12

                                              15

Answer: 6p^3+29p^2+22p-21

They got 5 yards on 3 plays. For total yards multiply the 3 plays by 5 yards. The first play was negative, so add the negative value.  The answer is A.

Answer:

A

Step-by-step explanation: