Which expression is equivalent to?

Answer:

This is 3.747*11/sqrt(5)=18.4

the interval is (49.9,86.7), the SE added to and subtracted from the mean.

It is B

                          Thank You

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

Answer:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) - i(x +y)[/tex]

And we want to find the values of x and y such that the equation is true.

First, distribute:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) +i(-x -y)[/tex]

If two complex numbers are equivalent, their real and imaginary parts are equivalent. Hence:

[tex]\displaystyle x^2 + 2xy = x^2 - 2x +2y \text{ and } y - 1 = -x -y[/tex]

Simplify:

[tex]\displaystyle 2xy = -2x +2y \text{ and }x = 1 - 2y[/tex]

Substitute:

[tex]\displaystyle 2(1-2y)y = -2(1-2y) + 2y[/tex]

Solve for y:

[tex]\displaystyle \begin{aligned} 2(y - 2y^2) &= (-2 + 4y) + 2y \\ 2y - 4y^2 &= 6y -2\\ 4y^2 + 4y - 2& = 0 \\ 2y^2 + 2y - 1 &= 0 \\ \end{aligned}[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned} y &= \frac{-(2)\pm\sqrt{(2)^2 - 4(2)(-1)}}{2(2)} \\ \\ &= \frac{-2\pm\sqrt{12}}{4} \\ \\ &= \frac{-2\pm2\sqrt{3}}{4}\\ \\ &= \frac{-1\pm\sqrt{3}}{2} \end{aligned}[/tex]

Hence:

[tex]\displaystyle y_1 = \frac{-1+\sqrt{3}}{2} \text{ or } y_2 = \frac{-1-\sqrt{3}}{2}[/tex]

Then:

[tex]\displaystyle x _ 1 = 1 - 2\left(\frac{-1+\sqrt{3}}{2}\right) = 1 + (1 - \sqrt{3}) = 2 - \sqrt{3}[/tex]

And:

[tex]\displaystyle x _ 2 = 1 - 2\left(\frac{-1-\sqrt{3}}{2}\right) = 1 + (1 + \sqrt{3}) = 2 + \sqrt{3}[/tex]

In conclusion, the values of x and y are:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.

c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.

Answer:

Yes the function is continuous f(5) = 13

Step-by-step explanation:

Replace the variable x with 5 in the expression

Simlify the results

f(5) = 3(5)-3

f(5) = 15=3

f(5) = 13

Plotting on a graph gives a coninous line with a positive gradient

y intercept (0,-2)

Please view the attached graph

Answer:

7w+2=3w+94

Subtract 3w from both sides.

7w+2−3w=94

Combine 7w and −3w to get 4w.

4w+2=94

Subtract 2 from both sides.

4w=94−2

Subtract 2 from 94 to get 92.

4w=92

Divide both sides by 4.

w=492

Divide 92 by 4 to get 23.

w=23

Answer:

23

Step-by-step explanation:

7w + 2 = 3w + 94                      Subtract 2 from both sides

7w = 3w + 94 - 2

7w = 3w + 92                             Subtract 3w from both sides

4w = 92                                      Divide by 4

w = 92/4

w = 23

Answer:

The greatest common factor is 6.

Step-by-step explanation:

Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Step-by-step explanation:

it is shown in the above process.

hope you understand

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

Answer:

Area is 307.72 ft^2

Circumference is 43.96 ft

Step-by-step explanation:

Area is 2pir^2

Circumference is 2rpi

pi is about 3.14

A=2pi(7)^2

A= 98pi which is about 307.72 ft^2

C= 2(7)pi

C= 14pi which is about 43.96 ft

(I'm not sure whether they want the answer left in terms of pi or not)

Answer:

3031081 / 40678884

Step-by-step explanation:

To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is

4πr² = 4 * π * 6378²

and the radius of the moon is

4πr² = 4 * π * 1741²

To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have

(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)

cross out the 4 * π in the numerator and denominator

1741²/6378²

Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have

(1741²/6378²)/(6378²/6378²)

≈0.0745/1

≈ 0.0745

To put this in a fraction, we would have

(1741²/6378²)/1

= (1741²/6378²)

= 3031081 / 40678884

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Answer:

6 ft

Step-by-step explanation:

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Answer:

D. 40

Step-by-step explanation:

A central angle is equal to the measure of its corresponding arc.

angle AOB is a central angle and it's corresponding arc is arc AB

this means that arc AB = measure of angle AOB

If angle AOB = 80 degrees then arc AB equals 80 degrees too.

An inscribed angle is equal to half the measure of its intercepted arc.

Angle ACB is an inscribed angle and the arc it intercepts is arc AB

This means that angle ACB = 1/2 of arc AB

We have found that the measure of arc AB is 80 degrees.

This means that angle ACB = 1/2 of 80 which is 40

Answer:

C. (Image 092618

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

y1 is 2

y2 is -1

x1 is -3

x2 is 7

substitute:

[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]

The range of the exponential function is: B. [tex]g(x)>-6[/tex]

Recall:

Range of any function includes all possible values of y (output)

Domain of any function includes all possible values of x (input).

Thus:

The values of y in the exponential function greater than -6 on the y-axis as shown in the graph given.

Therefore:

Range of the exponential function given in the graph is: B. [tex]g(x)>-6[/tex].

Learn more about exponential function here:

https://brainly.com/question/19554225

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

Answer:

-3/7

Step-by-step explanation:

It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).

We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.

We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.

The slope of a line is calculated by finding the ratio of the change of y to the change of x.

(-1-2)/(9-2)

(-3)/(7)

-3/7

Answer:3

Step-by-step explanation:

-3x+2=-7

subtract 2 from both sides

-3x+2-2-(-7-2

simplify the arithmetic

-3x=-7-2

simplify the arithmetic aging

-3x=-9

=3

Answer

4

Step by step explanation

2/3=x/10-x

cross multiply

2(10-x)=3x

20-2x=3x

20=3x+2x

20=5x

x=4

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

My answer is in the picture