what is the product of 2/3 3/4 4/5 5/6 6/7

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Answer: 7

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Absolute value is the distance between that number and zero. To find the absolute value, you basically just take the negative sign away if there is one. So you need to find the absolute value of 4x+6. Since you can't simplify this equation, you just keep it the way it is. The absolute value of 4x+6 is 4x+6.

So now you have 4x + 6 - 1. Since 6 and 1 are both constant variables, you can  directly subtract it. 6-1 equals 5. Now you have 4x-5.

Now you have 4x-5 = -1 = 3x. You should isolate the variables as well as "removing" an equal sign. To bring away the -1, you have to add 1. -1 + 1 equals 0, AKA nothing. But you also have to do it with all the other expressions too...

4x - 5 + 1 = 4x-6

3x+1 = 3x+1

Now the equation is 4x-6 = 3x+1

So now you have to get rid of the 6. To do that, add 6 to each side of the equation.

4x-6+6 = 4x

3x+1+6 = 3x+7

Now the equation is 4x = 3x+7

Did you notice that you have to add 1x to 3x to get 4x?

3x+1x = 4x (AKA the left side of the equation)

Also, you added the 7.

So that means 7 is the 1x.

So x equals 7.

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Answer:

Below.

Step-by-step explanation:

3x + 5y = 15

Subtract 3x from both sides:

5y = -3x + 15

Divide through by 5:

y = -3/5 x + 3   <-----------slope-intercept form

Answer:

15 nickels and 8 dimes

Step-by-step explanation:

Create a system of equations where d is the number of dimes and n is the number of nickels:

0.1d + 0.05n = 1.55

n = d + 7

Solve with substitution by plugging in d + 7 as n:

0.1d + 0.05(d + 7) = 1.55

0.1d + 0.05d + 0.35= 1.55

0.15d + 0.35 = 1.55

0.15d= 1.2

d = 8

Plug in 8 as d to find n:

n = d + 7

n = 8 + 7

n = 15

So, there are 15 nickels and 8 dimes

Answer:

180 minutes of calls

Step-by-step explanation:

Let x represent the minutes of calls

The first plan's cost can be represented by 0.08x + 17

The second plan can be represented by 0.13x + 8

Set them equal to each other and solve for x:

0.08x + 17 = 0.13x + 8

17 = 0.05x + 8

9 = 0.05x

180 = x

So, it will take 180 minutes of calls for the plans to be equal.

Answer:

C. less than the whole number

Step-by-step explanation:

Think of the product as 1/2(0.5)×3 ; the answer would equal 1.5, half of 3. Any number less than 1, multiplied by a whole number, always comes out with a product less than the whole numbers. i.e. 1/3(0.3)×9 = 3

1/4(0.25)×8 = 2

1/5(0.20)×5 = 1

(Anyone correct me if I'm wrong.)

Answer: C) less than the whole number

Step-by-step explanation: I tried examples and they are less than the whole number. The first choice is also equal to the fraction but that’s not for most cases.

Answer:

-5x + 4y = -11.

Step-by-step explanation:

If it's a circle then it must be x^2 not x.

x^2 + y^2 + 4x - 10y = 12

Using implicit differentiation:

2x + 2y y' + 4 - 10 y' = 0

y'( 2y - 10) = -2x - 4

y' = (-2x - 4)/(2y - 10)

y' = (-x - 2) / (y - 5) = the slope of the tangent.

At  (3, 1),  y' = (-3-2) / (1 - 5)

=  5/4.

So the required equation is

y - y1 = 5/4(x - x1)  where x1 = 3 and y1 = 1.

y - 1 = 5/4(x - 3)

y = 5/4(x - 3) + 1

Multiply through by 4:

4y = 5(x - 3) + 4

4y = 5x - 15 + 4

In standard form the equation is:

-5x + 4y = -11.

just finished this question the answers: D / 14

The value of x could be 8<x<12.

According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length.

Using Triangle Inequality

x+ x+4 > 20

2x+ 4 >20

2x > 16

x> 8

The angle across from the side with length 20 is the largest angle because it is the longest side length.

Therefore, x must be less than the value(s) that make that angle exactly 90 degrees. Simply determine the values of x for angles that are 90 degrees from the side with a length of 20.

Using Pythagorean theorem

x²+ (x+4)² = 20²

x² + x² +16 +8x = 400

2x² + 8x - 384= 0

x²+ 4x -192= 0

x= -16, 12

So, x has to be less than 12 i.e.,  x < 12

Hence, the value of x could be 8<x<12.

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Answer:

Step-by-step explanation:

Answer:

[tex]P = 10 + 2\sqrt{53}[/tex] units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3),  X (2, 3),

Y (4, -4),  Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

For WX:

[tex](x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)[/tex]

[tex]WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}[/tex]

[tex]WX = \sqrt{(-5)^2 + (0)^2}[/tex]

[tex]WX = \sqrt{25}[/tex]

[tex]WX = 5[/tex]

For XY:

[tex](x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)[/tex]

[tex]XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}[/tex]

[tex]XY = \sqrt{-2^2 + (3 +4)^2}[/tex]

[tex]XY = \sqrt{-2^2 + 7^2}[/tex]

[tex]XY = \sqrt{4 + 49}[/tex]

[tex]XY = \sqrt{53}[/tex]

For YZ:

[tex](x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)[/tex]

[tex]YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}[/tex]

[tex]YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}[/tex]

[tex]YZ = \sqrt{7^2 + (-2)^2}[/tex]

[tex]YZ = \sqrt{49 + 4}[/tex]

[tex]YZ = \sqrt{53}[/tex]

For ZW:

[tex](x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)[/tex]

[tex]ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}[/tex]

[tex]ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}[/tex]

[tex]ZW = \sqrt{0^2 + (-5)^2}[/tex]

[tex]ZW = \sqrt{0 + 25}[/tex]

[tex]ZW = \sqrt{25}[/tex]

[tex]ZW = 5[/tex]

The Perimeter (P) is as follows:

[tex]P = WX + XY + YZ + ZW[/tex]

[tex]P = 5 + \sqrt{53} + \sqrt{53} + 5[/tex]

[tex]P = 5 + 5 + \sqrt{53} + \sqrt{53}[/tex]

[tex]P = 10 + 2\sqrt{53}[/tex] units

C is the answer.

That is all.

24. 1st one

Step-by-step explanation:

the X cancals out the x leaving the z so it is the 1st one

Answer:

24. [tex]-\frac{3}{2} z[/tex]

25. 6

Step-by-step explanation:

For number 24:

To simplify this down, we can break it up into this:

[tex]\frac{3}{-2} \cdot \frac{x}{x} \cdot \frac{z}{1}[/tex]

3 divided by -2 is [tex]-\frac{3}{2}[/tex], x over x is just 1, and z over 1 is z.

So [tex]-\frac{3}{2} z[/tex].

For number 25:

If we know the value of y and z we can just substitute inside the equation.

[tex]\frac{-18}{-3}[/tex]

A negative divided by a negative is the same as a positive over a positive.

[tex]18\div3=6[/tex]

Hope this helped!

2+2 = 4

▶Add 2 to 2 , you may count it with your fingers.

This are for beginners ✔

Answer:

The answer, my man, is 4.

Explanation:

2+2-2*2/2=2

Or... 2 plus 2 minus 2 times 2 divided by 2 equals 2.

A more complex way of doing this is: 2+2=4

Hopefully, this helps! :D

Answer:

y = -14x - 80

Step-by-step explanation:

jst did it and i got it right

The equation of the line passing through the points (−6,4) and (−5,−10) is y = -14x - 80.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line through the points (−6,4) and (−5,−10).

(y + 10) = (-10-4)/(-5+6)[x + 5]

y + 10 = -14(x + 5)

y + 10 = -14x - 70

y = -14x - 80

Thus, the equation of the line passing through the points (−6,4) and (−5,−10) is y = -14x - 80.

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Answer:

8770 feet

Step-by-step explanation:

Add 370 to 8400:

8400 - 370

= 8770 feet

Step-by-step explanation:

8x-4y-2z

I think the question is incomplete

Answer:

8 hours

Step-by-step explanation:

$1,300/$32.50 = 40

$1,040/$32.50 = 32

40-32=8

Answer:

8 hours

Step-by-step explanation:

First, find the difference in the money

1300-1040=260

Then divide by 32.5

260/32.5=2600/325

8

So he worked for 8 more hours

Answer:

  150 radians

Step-by-step explanation:

Arc length as a function of angle is ...

  s = rθ

Then the angle is ...

  θ = s/r = (1800 cm)/(12 cm) = 150 . . . radians

Answer:

y = 2x + 7

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

We are only focusing on the line of best fit.

Step 1: Find 2 coordinates

(0, 7) y-intercept

(2, 11) random

Step 2: Find slope m

m = (11 - 7)/(2 - 0)

m = 4/2

m = 2

y = 2x + b

Step 3: Rewrite linear equation

y = 2x + 7

Answer:

y = 2x + 7

Step-by-step explanation:

Answer: 39

Step-by-step explanation:

x(z+3)+1+3-y

plug in the values given for each variable

6(2+3)+1+3-(-5)

use pemdas to solve

6(5)+1+3+5

30+1+3+5

31+8

39

Answer: 39

Step-by-step explanation:

Given: x=6, y=-5, z=2

To solve this problem, plug all the variables in.

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

 x(z+3)+1+3-y

Plug in

=(6)[(2)+3]+1+3-(-5)

Take off parentheses

=6(2+3)+1+3+5

Add 2 and 3, and also add 1 and 3

=6(5)+4+5

Multiply 6 and 5, and add 4 and 5

=30+9

Add 30 and 9

=39

Hope this helps!! :)

Please let me know if you have any question

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-9, -5) and (-1, -9)

The midpoint M is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Hello,

[tex](\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}[/tex]

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, then function f is 16x²+48x+40

A relation is a function if it has only One y-value for each x-value.

The given functions are  g(x) = 2x + 2 and h(x) = 4x² + 8x + 8.

fog=h

Now we have to find f(x)

fog=h

f(g(x))=h

f(2x+2)=4x² + 8x + 8.

=4(2x+2)²+8(2x+2)+8

=4(4x²+4+8x)+16x+16+8

=16x²+16+32x+16x+16+8

=16x²+32x+16x+16+16+8

=16x²+48x+40

Hence,  function f is 16x²+48x+40

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Answer:

(8, 2)

Step-by-step explanation:

(x, y)=(6, -1)

(x1+x2)/2=6

(y1+y2)/2=-1

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

(4+x2)/2=6

4+x2=6*2

4+x2=12

x2=12-4

x2=8

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

(-4+y2)/2=-1

-4+y2=-1*2

-4+y2=-2

y2=-2-(-4)

y2=-2+4

y2=2

(x2, y2)=(8, 2)

Answer:

[tex]1 \rightarrow E, 2\rightarrow B, 3\rightarrow C, 4\rightarrow D, 5\rightarrow A[/tex]

Step-by-step explanation:

1.     [tex]\frac{d^2y}{dx^2}+25y=0[/tex]

    The characteristic equation for the given differential equation is:

        [tex]r^{2} +25=0[/tex]

    [tex]\Rightarrow r^2=-25[/tex]

    [tex]\Rightarrow r=\pm 5i[/tex]

   Since the roots are complex

Now, the general solution is:

 [tex]y=A\cos 5x+B\sin 5x[/tex]

2.    [tex]\frac{dy}{dx}=\frac {2xy}{x^2}-5y^2[/tex]

     [tex]\Rightarrow \frac{dy}{dx}-\frac 2xy=-5y^2[/tex]

  Divide both sides by [tex]y^{-1}[/tex]

  Let, [tex]v=y^{-1} \Rightarrow \frac{dv}{dx}=-y^{-2}\frac{dy}{dx}[/tex]

    [tex]\Rightarrow -\frac{dv}{dx}-\frac 2xv=-5[/tex]

    [tex]\Rightarrow \frac{dv}{dx}+\frac 2xv=5[/tex]

 Here, [tex]p(x)=\frac 2x\; \text{and}\;\; q(x)=5[/tex]

 I.F. [tex]=e^{\int \frac 2xdx}=x^2[/tex]

 Now, the general solution is:

    [tex]vx^2=\int x^2 5dx=\frac {5x^3}3+c[/tex]

      [tex]\Rightarrow \frac {x^2}y-\frac {5x^3}3=c[/tex]

      [tex]\Rightarrow 3x^2-5x^3y=Cy[/tex]

3.     [tex]\frac{d^2y}{dx^2}+16\frac{dy}{dx}+64y=0[/tex]

   The characteristic equation is:

     [tex]r^2+16r+64=0[/tex]

  [tex]\Rightarrow r^2+8r+8r+64=0[/tex]

  [tex]\Rightarrow r(r+8)+8(r+8)=0[/tex]

  [tex]\Rightarrow (r+8)(r+8)=0[/tex]

  [tex]\Rightarrow r=-8,-8[/tex]

 Since the roots are real and repeated.

 Now, the general solution is:

 [tex]y=Ae^{-8x}+Bxe^{-8x}[/tex]

4.    [tex]\frac {dy}{dx}=10xy[/tex]

   [tex]\Rightarrow \frac {dy}{y}=10xdx[/tex]

 Integrating both sides

     [tex]\int\frac {dy}y=\int 10xdx+\log c[/tex]

   [tex]\Rightarrow \log y=5x^2+\log c[/tex]

   [tex]\Rightarrow y=e^{5x^2}+c[/tex]

5.      [tex]\frac {dy}{dx}+24x^2y=24x^2[/tex]

      Here, [tex]p(x)=24x^2 \; \text{and}\;\; q(x)=24x^2[/tex]

  I.F.[tex]= e^{\int 24x^2dx}=e^{8x^3}[/tex]

  Now, the general solution is:

     [tex]y.e^{8x^3}=\int 24x^2 e^{8x^3}dx=24\int x^2e^{8x^3}dx[/tex]

               Let, [tex]8x^3=t \Rightarrow 24x^2dx=dt\Rightarrow x^2dx=\frac {dt}{24}[/tex]

   [tex]\Rightarrow ye^{8x^3}=\int e^tdt[/tex]

   [tex]\Rightarrow ye^{8x^3}=e^{8x^3}+c[/tex]

   [tex]\Rightarrow y=1+ce^{-8x^3}[/tex]

Answer:

Slope= 2

Step-by-step explanation:

To calculate the slope of a line containing the two points on a coordinate plain, the below formula is used.

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

Y2= 6

Y1= 0

X2=10

X1= 7

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

Slope=(6-0)/(10-7)

Slope= 6/3

Slope= 2

Step-by-step explanation:

y = 18800 (1 − 0.05)ˣ

y = 18800 (0.95)ˣ

y = 18800 (0.95)⁹

y = 11849

Answer:

P (m=6)= 0.60

Marginal probability of y=  0.4 , 0.2 and 0.4

Marginal probability of x= 0.1  0.3 and 0.6

Step-by-step explanation:

The data given is

     X      2             4              6    

      2     0.04       0.02         0.04

y     4     0.12        0.06         0.12

     6      0.24      0.12          0.24

So the maximum value  M= max (X Y) is  (2,6) (6,4)(6,6)

We pick the larger value for each of the two observations

P (m=6) = 0.24+ 0.12+  0.24= 0.60

  X      2             4              6             Marginal

      2     0.04       0.02         0.04      0.1

y     4     0.12        0.06         0.12       0.3

      6      0.24      0.12          0.24      0.6

M.            0.4       0.2            0.4          1

The total is always equal to 1 .

X and Y are independent as the product of the marginal probability gives the joint probability.

We find the marginal probability by adding the rows and columns and then check if their product equal the given joint distribution which is true.

Answer:

Both diagrams describe the representation of an object in space.

Step-by-step explanation:

1. The first diagram is a 2-dimensional plane in space.

2. it has two axes, the x-axis and y-axis, which is the length and width of the plane.

3. Both axes are perpendicular to each other.

4. The second diagram is a 3-dimensional plane with axis x, y and z representing the width, length and height of the plane respectively.

5. All three axes are perpendicular to each other like in the 2-dimensional plane.

This is because the given value is closer to 9,000 than it is to 10,000.

The digit in the thousands place is 9. The digit to the right of this is 0, which is not 5 or greater. So we round down to the nearest thousand. So basically everything after the 9 is replaced with 0.

Answer:

V/2 - 21 = -15

V/2 - 21 + 21 = -15 + 21

V/2 + 0 = 6

V/2 * 2 = 6 * 2

V = 12

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Rewriting what is given: (0.09)(n)=30

Where n is the unknown number and 0.09 is the numerical form of 9%. Solving for n gives:

n=(30/0.09)=333.333....

27% as a number is 0.27. So 27% of n is:

(0.27)(n)=(0.27)(333.333...)=90

27% of that number is 90.