Stephen buys a melon and divided into six servings he eats 1/3 of the melon or over the weekend how many slices of melon does Stephen eat over the weekend?​

Answer:

Step-by-step explanation:

Can u help me too

Answer:

x < -50

Step-by-step explanation:

Answer:

x < -50

Step-by-step explanation:

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

[tex]k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft[/tex]

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft[/tex]

Therefore, the work done in stretching the spring is 8 lb.ft

Answer:

See Explanation for proofs

Step-by-step explanation:

Given

See attachment for complete question

Solving (a):

[tex]\frac{\sqrt{2}}{2}[/tex] is irrational

[tex]\sqrt{2} =1.41421356237.....[/tex]

So, we have:

[tex]\frac{\sqrt{2}}{2} = \frac{1.41421356237.....}{2}[/tex]

[tex]\frac{\sqrt{2}}{2} = 0.70710678118....[/tex]

[tex]0.70710678118....[/tex] can not be represented as a fraction of whole numbers.

Hence:

[tex]\frac{\sqrt{2}}{2}[/tex] is irrational

Solving (b):

[tex]\sqrt{2} -2[/tex] is irrational

[tex]\sqrt{2} =1.41421356237.....[/tex]

So, we have:

[tex]\sqrt{2} -2 = 1.41421356237..... - 2[/tex]

[tex]\sqrt{2} -2 = -0.58578643763.....[/tex]

[tex]-0.58578643763.....[/tex] can not be represented as a fraction of whole numbers.

Hence:

[tex]\sqrt{2} -2[/tex] is irrational

Solving (c):

The sum of two positive irrational number is always irrational

Proof Below

If a is irrational and b is also irrational,

then

[tex]a + b = irrational[/tex]

Take for instance:

[tex]a = \sqrt{2[/tex]

[tex]b = \sqrt{8[/tex]

[tex]a + b = \sqrt{2} + \sqrt{8[/tex]

[tex]a + b = \sqrt{2} + \sqrt{4*2[/tex]

[tex]a + b = \sqrt{2} + \sqrt{4}*\sqrt{2[/tex]

[tex]a + b = \sqrt{2} + 2\sqrt{2[/tex]

[tex]a + b = 3\sqrt{2[/tex]

[tex]3\sqrt{2[/tex] is irrational and this is true for the sum of every positive irrational numbers

Answer:48 ft to the second power

Step-by-step explanation:

I just got it right on iready

The area of the outdoor carpet that needed for the hole should be considered as the  48 ft².

Since

we know that

Area of the rectangle = Length (breadth)

here,

L = 12 ft

b =  5 ft

So,

area = 12 × 5  

= 60 ft²

Now

The cut off triangle area

area = 1/2 × base × height

= 1/2 × 4 × 3

= 12/2

= 6 ft²

Now

The cut off rectangle area should be

area = Lb

= 3 × 2

= 6 ft²

Now finally

The area of the outdoor carpet should be

= 60 - 6 - 6

= 48 ft²

learn more about an area here: https://brainly.com/question/17971267

Answer:

t>12

Step-by-step explanation:

t>180/15

then divide 180 by 15

and you gey t>12

The value of the given inequality is t> 12

inequality, In mathematics, a statement of an order relationship-greater than, greater than or equal to, less than, or less than or equal to-between two relation,

We have,

15t>180

According to the question

15t>180

t>180/15

then divide 180 by 15

and you will get t>12

Hence, the value of this inequality is t>12

To learn more about inequalities here

brainly.com/question/20383699

#SPJ2

Answer:

when x = 5

then the value of. (3x+2)

(3*5) + 2

15 + 2

=. 17

her mistake was that she doesn't multiplied 5 and 3

Answer:

See below.

Step-by-step explanation:

I've never seen one asked quite this way, but I think I have it figured out.

The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.

I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.

Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.

Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.

Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.

Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.

Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.

Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.

Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.

On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.

Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.

Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.

Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.

For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator

Now we have the fraction of k^12 OVER k^2.  In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.

So here is what we get for tic-tac-toe.

0   X   X

O   X   0

X   O   X

We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.

This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.

Hope this helps.

Answer:

[tex]\displaystyle d = 2\sqrt{97}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

not sure but i got -12000000000 in the calculator

Step-by-step explanation:

−12x1001001 if you are simplifying

Answer:[tex]4x^{3}[/tex][tex]\sqrt[3]{25x^{2} }[/tex]

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

The probability of drawing a diamond is 1/4 and the prob. of rolling a 5 is 1/6. Multiply the two together

Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and  is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)

y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57

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

Answer:

So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57

Answer:

this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

¯\_(ツ)_/¯

Answer:

Negative exponents are a way of writing powers of fractions or decimals without using a fraction or decimal. You use negative exponents as a way to combine expressions with the same base, whether the different factors are in the numerator or denominator. It’s a way to change division problems into multiplication problems.

Step-by-step explanation:

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.

Answer:

32.68346° or 32.7

Step-by-step explanation:

Answer:

2) $25

3) $-110

4) $-50

Step-by-step explanation:

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

Answer:

$48

Step-by-step explanation:

5% of 40 = 2 and 15% of 40 = 6. 6 + 2 = 8. 40 + 8 = $48.

Answer:

You Need To add a picture

Step-by-step explanation:

But if the decimal is before a number and has a line then its repeating if not its nonrepeating

Answer:

12.4

Step-by-step explanation:

just multiply, or search go.ogle

0.2 * 62 = 12.4

easy

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

Answer:

n

Step-by-step explanation:

Answer:

Step-by-step exp

Answer:

16

Step-by-step explanation:

4x2=8

8x2=16

Answer:

6 unit squared

Step-by-step explanation:

1. Make the shape into 2 shapes, a square and triangle

Square Area = 2(2) = 4

Triangle Area = 1/2(2)(2) = 2

2. Add them

4+2 = 6

Answer:

The easiest way to divide fractions is to follow three simple steps:

1. Flip the divisor into a reciprocal.

2. Change the division sign into a multiplication sign and multiply.

3. Simplify if possible.

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Multiply 2*4 which is 8 then divide 8 by 2 and get 4 and divide 100/10 and get 10.Then multiply 10 by 4 and get 40.

Answer:

The disadvantages: Convenience samples do not produce representative results. If you need to extrapolate to the target population, convenience samples aren't going to get you there. ... Much larger convenience samples are not more accurate than small probability samples.

Answer:

141,243

Step-by-step explanation:

1. Use PEMDAS

(300)(470) - 78 + 344 - 23 (Do muti first)

141,000 - 78 + 344 - 23 (You can do any order now)

141,243

Answer:

x=3

Step-by-step explanation:

2(x+1)=x+5

Use the distributive property to multiply 2 by x+1.

2x+2=x+5

Subtract x from both sides.

2x+2−x=5

Combine 2x and −x to get x.

x+2=5

Subtract 2 from both sides.

x=5−2

Subtract 2 from 5 to get 3.

x=3

Answer:

3

Step-by-step explanation:

2(x+1)=x+5

2x+2=x+5

2x-x+2=5

x+2=5

x=5-2

x=3