Calculate 21+23+25...+81

At 135,m position (other than infinitely remote ones) can the 54.0 kg object's gravitational force be placed so as to experience a net force of zero

Given Data:

The masses are

m1= 225kg and m2 =525kg.

The distance between the masses is

d= 0.340m.

The mass of the third object is

m= 54.0kg

Let the position of third object be x meters from 225 kg mass.

Thus, applying force balance on the object,

\(G\frac{mm_1}{x^2}= G\frac{mm_2}{(d-x)^2}\)

\(\frac{m_1}{x^2} = \frac{m_2}{(d-x)^2}\)

\(\frac{225}{x^2} = \frac{525}{(0.340- x)^2}\)

\(225(0.340-x)^2 = 525x^2\)

\(225(0.1156+ x^2 - 0.68x) = 525x^2\)

\(300x^2 + 153 x - 26.01=0\)

x= 135 m

For an object to experience zero gravitational force due to two masses, it must be placed on the line joining both the masses. Also, the gravitational force is always attractive in nature; hence the location of the mass should be between the masses.

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The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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the reflection of A over the line m is shape B

To determine the right reflection, we need to check the line we are reflecting the image.

For horizontal line:

reflection over the line: (x, y) to (x, -y)

For vertical line:

reflection over the line: (x, y) to (-x, y)

The line m is an horizontal line. This means the reflection will cause the y coordinates to be negative while keeping the x coordiante constant.

Negative y axis is below the line. The reflectd line will be in the neagtive y axis.

From the illustration, the reflection of A over the line m is shape B

Answer:

Function, function

Step-by-step explanation:

Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

A.) Yes. The input and output are both possible.

Step-by-step explanation:

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth. For example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.

Answer:

Yes. The input and output are both possible.

In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as g(x) where:

x: Represents the number of people who saw the dentist.

g(x): Represents the number of teeth cleaned.

So we are given a point that is solution to our function, which is  but what does this point represent? This tells us that the dentist saw 20 patients and cleaned 20 teeth, that is, he cleaned an only teeth per patient. So this will make sense under the conditions that make it possible, for example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.

Step-by-step explanation:

probability of first face card ( with total 12 face cards amongst 4 suits), is 12/52, once one face card is removed, the probability of next card is 11/51, and the next is 10/50. This probability of all 3 being face cards is ( 12/52)* (11/51) *(10/50 ) =1320/132600= 0.00995475113 ~0.01, i.e. one in hundred.

Answer:

Step-by-step explanation:

Solution

We really don't have any choices, but I have included the graph of y = 2(x - 3)^2 + 2. You should provide choices if there are any.

Notice that there are no x roots (the graph does not cut the x axis) and the y intercept is (0,20). The minimum is marked on the graph as (3,2)

You should be able to get the answer from that.

4x - 2y = 6

2y = 4x - 6

y = (4x - 6)/2

y = 2x - 3

Answer:

Step-by-step explanation:

Answer:

  acute

Step-by-step explanation:

An acute angle measures less than 90°.

Answer:

1.2 is less so your answer should be 1.2.

= 1.2

If you're measuring mountains, they're both huge.

If you're measuring green peas, they're both small.

Either way, 1.2 is smaller than 1.7 .

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

did the test

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Given:

The equation of the ellipse is

\(3x^2+2y^2=k\)

The length of its major axis is 6.

To find:

The value of k.

Solution:

The standard form of an ellipse is

\(\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1\)

Where, a>b and 3a is the length of major axis.

We have,

\(3x^2+2y^2=k\)

Divide both sides by k.

\(\dfrac{3x^2+2y^2}{k}=\dfrac{k}{k}\)

\(\dfrac{x^2}{\frac{k}{3}}+\dfrac{y^2}{\frac{k}{2}}=1\)

\(\dfrac{x^2}{(\sqrt{\frac{k}{3}})^2}+\dfrac{y^2}{(\sqrt{\frac{k}{2}})^2}=1\)

Here, \(\sqrt{\frac{k}{2}}>\sqrt{\frac{k}{3}}\).

So, the length of the major axis is

\(2\sqrt{\dfrac{k}{2}}=6\)

\(\sqrt{\dfrac{k}{2}}=3\)

\(\dfrac{k}{2}=9\)

\(k=18\)

Therefore, the value of k is 18.

Once we make the product we get:

in this expression the constant term is 4, therefore the expression has one constant term.

let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so

\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)

Answer:

Length of a Road

Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

\(x^{2} + 2x - 1\)

Step-by-step explanation:

We are solving for :

\(\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}\)

Factor \(x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)\)

\(\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}\)

= \(x^{2} + 2x - 1\)

Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

Step-by-step explanation:

A. Hawa Enterprise is a small retail business located in Changlun, Kedah. Follows are information on bank transactions of Hawa Enterprise as at 31 July 2022:

a. Cash on the book was RM34,635.

b. Cash as shown on the bank statement was RM35,296.

c. A deposit of RM3,500, representing cash receipts on 31 July, did not appear on the bank statement.

d. Outstanding cheque include cheques No 2031, No 2558, and No 2783 with the amount respectively RM530, RM1,551 and RM2,100.

e. The bank collected RM810 on a note receivable for Hawa Enterprise. The bank charged a collection fee of RM10 which was credited to Hawa Enterprise’s account.

f. An NSF cheque for RM950 from a customer, En Mansor, was returned with the bank statement.

g. The bank paid correctly an amount of RM3,680 for cheque No 2805 which was recorded in a book as RM3,860. h. Bank service charges for July 2022 amounted to RM50.

REQUIRED:

Prepare the bank reconciliation statement for Hawa Enterprise as at 31 July 2022.

B. Beginning July 2022, Hawa Enterprise has established a petty cash fund for its small expenditures. The following transactions took place during the month of July:

5/7 Established a RM300 petty cash fund with cash withdrawn from the company’s current account.

30/7 The petty cash fund has RM12 remaining and is replenished. Expenditures for July were RM75 for supplies, RM60 (meals), RM80 (postage), RM50 (amenities) and RM25 (freight-in).

REQUIRED:

Prepare the journal entries for the above transactions.

The probability that the three randomly selected students will have blood types A, B and AB is given as follows:

0.00164 = 0.164%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

Hence the probability for this problem is calculated as follows:

41/100 x 1/10 x 1/25 = 0.00164 = 0.164%.

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Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

Answer:

x < - 8

Step-by-step explanation:

Given

3 - (2x - 5) < - 4(x + 2) ← distribute parenthesis on both sides

3 - 2x + 5 < - 4x - 8

- 2x + 8 < - 4x - 8 ( add 4x to both sides )

2x + 8 < - 8 ( subtract 8 from both sides )

2x < - 16 ( divide both sides by 2 )

x < - 8

B: a+ 1/4b Hope this helps!

B. \(a + \frac{1}{4} b\) ✅

Step-by-step explanation:

\( \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b\)

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Answer:

False

Step-by-step explanation:

Edge 2021