Is the square root of 42 rational or irrational? Explain

Answer:

The  position at time t  is  [tex]s(t) = 8t^2 - 14t -8[/tex]

Step-by-step explanation:

From the question we are told that

   The acceleration is  [tex]a = 16[/tex]

   The velocity at t = 0  is  [tex]v(0) = -14[/tex]

    The  position at time t =  0  is [tex]s(0) = -8[/tex]

Generally acceleration is mathematically represented as

     [tex]a(t) = \frac{d v}{dt }[/tex]

=>   [tex]\frac{dv}{dt} = 16[/tex]

=>   [tex]dv = 16 dt[/tex]

integrating both sides we have    

     [tex]\int\limits dv = \int\limits16 dt[/tex]

=>  [tex]v(t) = 16 t + c[/tex]

Now at t = 0  

     [tex]v(0) = 16 * 0 +c = -14[/tex]

=>  [tex]c = -14[/tex]

So

   [tex]v(t) = 16 t -14[/tex]

Generally the position of the body is mathematically represented as

     [tex]s(t) = \int\limits v(t)dt[/tex]

So

    [tex]s(t) = \int\limits 16t - 14 dt[/tex]

So  

    [tex]s(t) = 16 \frac{t^2}{2} - 14t + C[/tex]

Now  at t =  0

     [tex]s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8[/tex]

=>    [tex]C = -8[/tex]

So

   [tex]s(t) = 8t^2 - 14t -8[/tex]

Rate of change of velocity with respect to time is known as acceleration.

Rate of change of displacement with respect to time is known as velocity.

Body position at time t is given by,   [tex]s(t)=8t^{2}-14t-8[/tex]

Data given are, a=16, v(0) = -14, s(0) = -8

Since,  [tex]\frac{dv}{dt}=a\\\\\frac{dv}{dt}=16\\\\dv=16dt[/tex]

Integrating both side

 We get,    [tex]v=16t + C[/tex]

Substituting v(0)=-14 in above equation

We get,   C = -14

  So,   [tex]v=16t-14[/tex]

Since, Rate of change of displacement with respect to time is known as velocity.

        [tex]v=\frac{ds}{dt}\\\\ds=vdt\\\\ds=(16t-14)dt[/tex]

Taking integration on both side

We get,   [tex]s=16\frac{t^{2} }{2}-14t+c[/tex]

Substituting s(0)= - 8 in above equation

We get,   [tex]c=-8[/tex]

So,  [tex]s=16\frac{t^{2} }{2}-14t-8\\\\s(t)=8t^{2} -14t-8\\[/tex]

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Answer:

$556.50

Step-by-step explanation:

25/2=$12.50

52/2=$26

66/2=$33

970/2=$485

485+33+26+12.50 = 556.50

After dividing, the total, Jenna and Harper will pay $556.5

In maths, a division is a process of splitting a specific amount into equal parts.

Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.

We will divide the total bill into two equal parts to find how much one girl should pay.

Therefore,

The total expense = 970+52+25+66 = $1113

Since, both girls are splitting the bill into halves, therefore,

$1113 / 2 = $556.5

That mean, each will have to pay $556.5

Hence, both will pay $556.5

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Answer:

Step-by-step explanation:

To figure out which is larger, convert each of these mixed numbers to decimals.

-1 3/7 = -1.42857142857

-1 1/2 = -1.5

Negative numbers are larger the closer they are to 0. So, -1 is larger than -2, since -1 is closer to 0.

Since -1.5 < -1.43, -1 3/7 is larger than -1 1/2 since it is closer to 0.

$7.50

just took the cfa or test on edguninty

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

The amount of profit for selling one box is $7.5.

Option A is the correct answer.

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

We have,

The graph models the linear relationship between the number of boxes of cards sold and its profit.

We see from the graph that when 4 boxes of cards are sold the profit made is $30.

This can be written as:

4 boxes = $30

Divide both sides by 4 we get,

1 box = 30/4

1 box = $7.5

Thus the amount of profit for selling one box is $7.5.

Option A is the correct answer.

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Answer: The answer is (C).

Step-by-step explanation: As you can see the Points are pointing to 9 to 10 which is 9.5

Answer:

[tex]C\ n\ C^c = \{ \}[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Step-by-step explanation:

Required

Determine

[tex]C\ n\ C^c[/tex]

[tex](A\ n\ C)^c[/tex]

[tex]A\ u\ (B\ n\ C)[/tex]

Solving [tex]C\ n\ C^c[/tex]

[tex]C^c[/tex] implies that elements in U but not in C

Since

[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]C^c = \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{ \}[/tex]

Because there's no intersection between both

Solving [tex](A\ n\ C)^c[/tex]

First, we need to determine A n C

[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]A\ n\ C = \{1, 5, 9\}[/tex]

[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

Solving [tex]A\ u\ (B\ n\ C)[/tex]

First, we need to determine B n C

[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]B\ n\ C = \{2, 4, 8\}[/tex]

So:

[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Answer:

10 out of 12 which is [tex]\frac{5}{6}[/tex] when simplified

Answer:

9:12

Step-by-step explanation:

3:4 is the ratio of her shots to tries

x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12

to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9

so the answer is 9:12

The value of a that makes the equation true is -1.55.

In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5

Divide both sides of the equation by 3: a + 1.5 - 1.5/3

a + 1.5 = -0.05

Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55

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Answer:

5/3

Step-by-step explanation:

To find the slope we pick one set of points

2/3,-1/2

Set your equation up like this

y2-y1/x2-x1

Plug in and subtract(notice the negative)

And we get 5/3

Hope this helps

Answer:

$6.00 to 95 cents = $6.95

Step-by-step explanation:

In currency the dollar is a whole number while the cent is a fraction of the dollar.

For the cent, every 100 cent is a dollar.

Converting the cent to dollar

100 cent = $1k

K= 100/1

95 cent = 100/1 x

95/100= x

0.95$= x

$6.00 to 95 cents = $(6+0.95)

$6.00 to 95 cents = $6.95

The value of x in the diagram is 110.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

DE is parallel to XY.

This means,

110 and x are corresponding angles.

Now,

The corresponding angles are equal.

So,

x = 110

Thus,

The value of x in the diagram is 110.

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Answer:

See below.

Step-by-step explanation:

So, from the figure, we can see that US is the combined length of UT and TS. In other words:

[tex]UT+TS=US[/tex]

We are given their equations. Substitute them:

[tex](x-3)+(12)=(3x-11)[/tex]

And this is our answer to 4.

Now, solve for x. Add on the left:

[tex]x+9=3x-11[/tex]

Subtract -3x from both sides:

[tex]-2x+9=-11[/tex]

Subtract 9 from both sides:

[tex]-2x=-20[/tex]

Divide both sides by -2:

[tex]x=10[/tex]

So, for 5, the answer is 10.

And we're done!

Answer:

[tex]\frac{-97}{25}[/tex]

Step-by-step explanation:

Step 1: Write out equation

[tex]\frac{m-t^2}{(m+p)+2t}[/tex]

Step 2: Define variables

m = 3

t = 10

p = 2

Step 3: Plug them in

[tex]\frac{3-10^2}{(3+2)+2(10)}[/tex]

Step 4: Evaluate

[tex]\frac{3-100}{5+20}[/tex]

[tex]\frac{-97}{25}[/tex]

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

Answer:

Step-by-step explanation:

1/5^(6-4) = 1/5^2 = 1/25

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Crash Course in Accounting and Financial Statement Analysis, Second Edition by Matan Feldman, Arkady Libman

Changes in Accounts Receivable

Recall that net income (the last line on the income statement and the first line on the cash flow statement) captures revenues and expenses based on the accrual method of accounting. As such, credit sales, in addition to cash sales, may be recorded as revenues.

The sales generated on credit are recorded on the balance sheet as accounts receivable, while cash revenues are recorded on the balance sheet as cash.

I hope I explained well.

If accounts receivable increased from one year to the next, the implication is that more people paid on credit during the year, which represents a drain on cash for the company, as some of the revenues that came in during the year increased the accounts receivable balance instead of cash.

Conversely, if accounts receivable decreased from one year to the next, the implication is that those old accounts receivable were collected (i.e., credit sales were eventually converted into cash sales), representing cash inflow for the company.

Answer:

11 +13 + 15  = 39

Step-by-step explanation:

Let the consecutive odd integer be X , Y , Z .

X < Y < Z

Y = X + 2

Z = X + 4

Given ,

2 Y + X = 2 Z + 7

2 ( X + 2 ) + X = 2 ( X + 4 ) + 7

2 X + 4 + X = 2 X + 8 + 7

X = 15 - 4 = 11

So the integers are

11 , 13 , 15 .

Sum of integers = 39.

Answer:

n>-3

Step-by-step explanation:

add like terms:

3+-4= 1

Then you end up with--> 6n+1 < 17

Get the variable by itself ( add 1)

6n < 18

Then divide 6n from 18

switch signs.

Answer:

Step-by-step explanation:

9 + 10 = 19

answer is A

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Answer:

keep looking its in there all you need to do is look

Answer:

16.5 gallons per minute

Step-by-step explanation:

Part A is 16.5 Gallons per minute

Answer:B

Step-by-step explanation:

E202 just did :)

Answer:

b

Step-by-step explanation:

edg 2020

Answer:

126

Step-by-step explanation:

(7x6) + (7 x 12)= 126

there is not enough information its an identity statement