Use the distance formula to find the perimeter
of the triangle with vertices at the points
(-1,0), (2, 0), and (2, 7). Round to two decimal
places if necessary.

Answer:

32/100 or 8/25

Step-by-step explanation:

0.32 is 32 divided by 100 (32 ÷ 100). This can be written as 32/100. If we want to simplify this, we can divide both the numerator and denominator by 4 = 8/25.

Hope this helps!

Answer:

vigdjfopa

Step-by-step explanation:

To write in standard form;

568,319,000,000,000,000,000,000,000

Move the decimal point backward till you reach the last number

Multiply by ten raise to the number of times you move the decimal point

That is;

568,319,000,000,000,000,000,000,000 = 5.68319 x 10^26

f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.

So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.

To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.

Applying the power rule, we differentiate each term separately:

f'(x) = d/dx (x^1) + d/dx (2)

The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.

The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.

Therefore, f'(x) = 1 + 0 = 1.

So, the derivative of f(x) = x + 2 is f'(x) = 1.

To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).

In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).

Applying the power rule and the constant multiple rule, we differentiate each term separately:

f'(x) = d/dx (2 * x^(-2))

Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.

Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.

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Combining like terms yields 7x⁵ - x³ - x² + 4x.

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

The expected gain per warranty is $27.65, crazy stuff

Step-by-step explanation:

If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).

This brings us to cost for the company equal to 0.1%*$350 per warranty sold.

0.1%*$350 = 0.001*$350 = $0.35

And the company gets $28 for each warranty sold, hence they earn

$28 - $0.35 = $27.65

on average.

Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

C

Step-by-step explanation:

Answer is C, only need to move it up and to the right through translation.

Answer:

EDITING VIEW

Step-by-step explanation:

Answer:

unlock code is 11

A= 27

B=16

C=1

(11)^1 = 11

Step-by-step explanation:

Answer:

2/10*4/10=2/25 aka 0.08 aka rounded is 0.1

Step-by-step explanation:

hope this helps plz give brainliest

Answer:

Poop

Step-by-step explanation:

7x + 3 = 9x - 3 - 2x

7x - 9x + 2x = -3 - 3

0 = -6

equation doesn't have any solution

Answer:

V

Step-by-step explanation:

Answer:

1 a  \(p -value = 0.030054\)

1b   \(p -value = 0.0029798\)

1c  \(p -value = 0.0039768\)  

2a  \(p-value = 0.00099966\)

2b  \(p-value = 0.00999706\)

2c  \(p-value = 0.0654412\)

Step-by-step explanation:

Considering question a

  The alternative hypothesis is H1:μ>μ0

   The test statistics is  z =1.88

Generally from the z-table  the  probability of   z =1.88 for a right tailed test is

    \(p -value = P(Z > 1.88) = 0.030054\)

Considering question b

  The alternative hypothesis is H1:μ<μ0

   The test statistics is  z=−2.75

Generally from the z-table  the  probability of   z=−2.75 for a left tailed test is

    \(p -value = P(Z < -2.75) = 0.0029798\)

Considering question c

  The alternative hypothesis is H1:μ≠μ0

   The test statistics is  z=2.88

Generally from the z-table  the  probability of  z=2.88 for a right  tailed test is

    \(p -value = P(Z >2.88) = 0.0019884\)    

Generally the p-value for the two-tailed test is

    \(p -value = 2 * P(Z >2.88) = 2 * 0.0019884\)    

=> \(p -value = 0.0039768\)  

Considering question 2a

    The alternative hypothesis is H1:μ>μ0

     The sample size is  n=16

     The  test statistic is  t =  3.733

Generally the degree of freedom is mathematically represented as

        \(df = n - 1\)

=>     \(df = 16 - 1\)

=>     \(df = 15\)

Generally from the t distribution table  the probability of   t =  3.733 at a degree of freedom of  \(df = 15\) for a right tailed test is  

       \(p-value = t_{3.733 , 15} = 0.00099966\)

Considering question 2b

    The alternative hypothesis is H1:μ<μ0

     The degree of freedom is df=23

     The  test statistic is ,t= −2.500

Generally from the t distribution table  the probability of   t= −2.500 at a degree of freedom of  df=23 for a left  tailed test is  

       \(p-value = t_{-2.500 , 23} = 0.00999706\)

Considering question 2c

    The alternative hypothesis is H1:μ≠μ0

     The sample size is  n= 7

     The  test statistic is ,t= −2.2500

Generally the degree of freedom is mathematically represented as

        \(df = n - 1\)

=>     \(df = 7 - 1\)

=>     \(df = 6\)

Generally from the t distribution table  the probability of   t= −2.2500 at a degree of freedom of  \(df = 6\) for a left   tailed test is  

       \(t_{-2.2500 , 6} = 0.03272060\)

Generally the p-value  for t= −2.2500 for a two tailed test is

     \(p-value = 2 * 0.03272060 = 0.0654412\)

Answer:

-2, -14, - 15, - 15

Step-by-step explanation:

7 - 9 = -2

-10 - 4 = -14

-7 - 8 = -15

-20 - (-5) = -15

Answer:

can u  please attach the photo

Step-by-step explanation:

i cannot see it clearly

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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The real life need to stack ¼ cups in a minute would not be met in the given time after being calculated.

The equivalent of one mini is 60 seconds. The given expressions would be calculated in seconds to find the portion of minutes in each phase.

The actual desire is to Stack 1/4 = 60 seconds

The first attempt = 1/4 for 1/2 ×60 seconds = 30 seconds

The second attempt = 1/4 for 3/10 × 60 secs = 18 secs less than first attempt which is= 30 -18 = 12 secs

Since in both cases 30 and 18 seconds are not up to 1 minute, you weren't able to reach your goal.

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