Plot J(-2,8), K(0,8), L(1,0), and M(1,-2) in a coordinate plane. Then determine whether JK and LM are congruent. A. Cannot be determined from the information given. O B. Cannot use Ruler Postulate for this problem. OC. JK and LM are congruent. D. JK and LM are not congruent.​

Answer:

-1/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 9-10)/(10-7)

    = -1/3

Answer:

-1/3

Step-by-step explanation:

The slope formula is [ y2-y1/x2-x1 ].

9-10/10-7

-1/3

Best of Luck!

Answer:

all you do is add

Step-by-step explanation:

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

Matt probably would have got about a 5% return on a good stock.

The rate of return is just the total return divided by investment.

Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.

Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.

In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

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Answer:1. Let  a = 1  and  b = 1 .

2. Now this means that  a = b .

3. If we multiply both sides by  a  we get  a^{2} = ab .

4. If we then subtract  b^{2}  from both sides we would have  a^{2} - b^{2} = ab - b^{2} .

5. We can then factorise both sides to get  (a + b)(a - b) = b(a - b) .

6. Dividing both sides by  (a - b)  would give us  a + b = b .

7. Substituting back the values of  a = 1  and  b = 1  would give us that  1 + 1 = 1 .

8. So this "proves" that  1 + 1 = 1  not  2 .

Except that in step 6, when we are dividing by  a - b , we are in fact dividing by zero. This is a violation of the rules of mathematics :/ soo... Um lol...

Step-by-step explanation: this is what happens when you dont do math correct

In order to eliminate one of the variables, subtract one of the equation from the other equation.

Given these equations:

o + 3s = 76 equation 1

o + s = 36 equation 2

Where:

o = number of orange juice bought

s = number of sandwiches bought

In order to eliminate one of the variables, subtract equation 2 from equation 1. The result is :

2s = 40

s = 20

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Answer:

$8

Step-by-step explanation:

You divide $72 by 9 to get the money for each lawn-mowing job.

72/9 = 8

She charges $8 for each lawn she mows.

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  Water                                                                                                      

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  Water                                                                                                

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   Water                       x                  *            0          =            0        

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   Water                          x                 *           0           =            0        

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

4/5

subtract 1/5 from 5/5.

Answer:

4/5

Step-by-step explanation:

if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

Answer:

its 3.67679441171

Step-by-step explanation:

if you look at your calculator you can just type it in your welcome

Step-by-step explanation:

≈3.6787944117144

thank me later

Hence , it is to be quadratic function where a has to be less than zero or

A quadratic function with a negative value of a.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

y = a√x +b

And where x = no. of days = 1

y = no. of visitors = 45

45 = a √1  + b

45 = a + b

And When x = 2 and y = 86

86 = a √2 +b

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

⇒ 86 =  + 45 - a

⇒ 86 - 45 = a √2 - a

⇒ 41 = a (√2 - 1 )

⇒ a = \(\frac{41}{\sqrt{2}- 1 }\)

⇒ a = 41/0.41

⇒ a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

Now,

The required equation is y = 100 -55.

When  x = 4

   y = 100√2 - 55

⇒ y = 100(1.4) - 55

⇒ y = 140 - 55

⇒ y = 85

And,

when x = 5

   y = 100√5 - 55

⇒ y = 223.5 - 55

⇒ y = 168.60

⇒ y = 168 ( approx. )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

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Answer:

43.8°

Step-by-step explanation:

Note, tan^-1 is the same as cot and they both are the same 1/tan

Using TOA..

\(t \times \frac{o}{a} \)

Where t = tan, o = opposite (perpendicular) and a = adjacent (base)

Opposite = the magnitude opposite the angle

adjacent = line segment between angle and perpendicular line segment

o = 48° and a = 50°

Solve...

.. Let the unknown angle be B (beta)

== ~ 43.8° [usually we round to one decimal place or 1dp]

If α = 200°, the angle of y can be found using the fact that the sum of angles in a triangle is 180°. Since α + y + γ = 180°, we can substitute the given value of α and solve for y.

If α = 200°, we need additional information to determine the values of p and γ. Without knowing the relationships or measurements of the sides and angles, we cannot calculate these values.

If the length of side c in a right triangle is 5 ft and the length of side b is 3 ft, we can use the Pythagorean theorem to find the length of side a. The Pythagorean theorem states that a² + b² = c², where c is the hypotenuse. By substituting the given values, we can solve for a.

Given that α = 200°, we know that the sum of the angles in a triangle is 180°. So, we have α + y + γ = 180°. By substituting α = 200° into the equation, we get 200° + y + γ = 180°. Solving for y, we find y = -20°.

Without additional information about the relationships or measurements of the sides and angles, we cannot determine the values of p and γ when α = 200°. The problem statement does not provide enough context to calculate these values.

In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (side c) is equal to the sum of the squares of the other two sides. By substituting the given values, we get a² + 3² = 5². Simplifying the equation gives us a² + 9 = 25. Solving for a, we find a = √16 = 4 ft.

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The derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:

u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k.

We can find the derivative of the function u(t) = u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k, where u(t) is a vector-valued function.

To find the derivative of u(t⁴ - 2t), we use the chain rule:

u'(t) = u'(t⁴ - 2t) * (4t³ - 2)

where u'(t) is the derivative of u with respect to its argument. In this case, the argument is t⁴ - 2t, so we need to find u'(t⁴ - 2t) and then multiply it by the derivative of the argument with respect to t, which is 4t³ - 2.

To find u'(t⁴ - 2t), we differentiate u(t) with respect to its components:

u'(t) = (6t² i + 2t j) * (4t³ - 2)

= 24t⁵ i - 12t³j + 8t⁴ k

Therefore, the derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:

u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k

Note that the derivative of a vector-valued function is also a vector-valued function.

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Answer:

start from 0 then move left 1=(-1) down 1=(-1)

Answer:148

Step-by-step explanation:

Assuming he only bought milk, fish and chicken.
220+132=352
500-352=148

Answer:

64°

Step-by-step explanation:

So supplement angles are equal to 180, so first our two angles added together will be 180:

x + x = 180

Now one of these angles is 6 greater than half:

x + (x/2 + 6) = 180

Then we will solve for x:

x + (x/2 + 6) = 180

x + x/2 + 6 = 180

x + x/2 = 174

\(\frac{3}{2}\)x = 174

x = 116

Plug it back in:

x + (x/2 + 6) = 180

         /\

     x/2 + 6

   (116)/2 + 6

        64

To check:

116 + 64 = 180 ✓

Answer:

step by step calculation :

To proof:

tan²A - sin²A = tan² A sin²A

from LHS,

tan²A -sin²A

= (sin²A / cos²A) - sin²A……[tan A=sin A/cos A]

= (sin²A - sin²Acos²A) / cos²A

= sin²A (1- cos²A) / cos² A [tan A = sinA / cos A]

= tan²A sin²A= RHS

.•. hence proved

hope it helped:)

In this problem, we are given a variable resistor R and an 8-Ω resistor in parallel. We are asked to find the rate at which the resistance R is changing when it is equal to 6.0 Ω.

Given that RT = 8R / (8 + R), we can differentiate this equation with respect to time t using the quotient rule. Let's denote dR/dt as the rate of change of R with respect to time. Applying the quotient rule, we have:

dRT/dt = \([ (8)(dR/dt)(8 + R) - (8R)(dR/dt) ] / (8 + R)^2\)

To find the rate at which R is changing when R = 6.0 Ω, we substitute R = 6.0 into the above equation:

dRT/dt = \([ (8)(dR/dt)(8 + 6.0) - (8)(6.0)(dR/dt) ] / (8 + 6.0)^2\)

Simplifying further, we have:

dRT/dt = \([ (8)(dR/dt)(14) - (48)(dR/dt) ] / (14)^2\)

dRT/dt = (112(dR/dt) - 48(dR/dt)) / 196

dRT/dt = 64(dR/dt) / 196

dRT/dt = 16(dR/dt) / 49

Therefore, the rate at which R is changing when R = 6.0 Ω is equal to 16/49 times the rate of change of RT.

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Answer:

b

Step-by-step explanation:

SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side,  so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously

xy + xz is an even integer & x is even and y + xz is an odd integer &  either (x-1) is even or (y-z) is even .

1. xy + xz is an even integer - SUFFICIENT

Given:

xy + z is odd ...(i)

xy + xz is even ...(ii)

subtracting (ii) from (i)

we get xz - z, which should be odd (* since odd - even = odd)

=> z(x-1) is odd

=> both z and (x-1) is odd

=> since (x-1) is odd, x must be even.

2. y + xz is an odd integer -INSUFFICIENT

Given:

xy + z is odd ...(i)

y + xz is odd ...(ii)

subtracting (ii) from (i)

we get xy + z - y - xz

= (x-1)(y-z) , which should be even

=> either (x-1) is even or (y-z) is even ....insufficient to determine

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Answer:

x = -2

Step-by-step explanation:

6 - 2(x + 6) = 3x + 4

6 - 2x - 12 = 3x + 4

Combine like terms;

-6 - 2x = 3x + 4

Add 6 to both sides

-6 - 2x = 3x + 4

+6                + 6

Subtract  3x from both sides

-2x = 3x + 10

-3x   -3x

-5x = 10

Divide both sides by -5

x = -2

The smaller number is 25, and the larger number is 68. The larger number is 18 more than twice the smaller number, and their sum is 93.

To solve this word problem using the 3-step process, we need to find the two numbers given that the larger number is 18 more than twice the smaller and the sum of the two numbers is 93.
Step 1: Let's assign variables to the unknown numbers. Let's say the smaller number is "x" and the larger number is "y".
Step 2: Translate the given information into equations. From the problem, we know that the larger number is 18 more than twice the smaller. So, we can write the equation as: y = 2x + 18.
We also know that the sum of the two numbers is 93. So, we can write another equation as: x + y = 93.
Step 3: Solve the system of equations. We have two equations:
y = 2x + 18
x + y = 93
We can solve this system of equations by substitution method or elimination method. Let's use substitution.
Substitute the value of y from the first equation into the second equation:
x + (2x + 18) = 93
3x + 18 = 93
3x = 93 - 18
3x = 75
x = 75 / 3
x = 25
Now, substitute the value of x back into the first equation to find y:
y = 2(25) + 18
y = 50 + 18
y = 68
So, the smaller number is 25 and the larger number is 68.

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The 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

The following formula is used to calculate a confidence interval for the proportion of all American adults who support same-sex marriage

KI = p ± z*(√(p*(1-p)/n))

where:

p = percentage of respondents who support same-sex marriage

n = sample size (total number of respondents)

z = z-score for the desired confidence level

substitute all the values in the above formula,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/n))

To compute confidence intervals, we need to know the sample size (n). the sample size is large, so we can use the normal distribution.

the random sample size of 1000 is taken as no sample size is specified.

For n = 1000,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/1000))

= 0.517 ± 0.032

Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

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