Find the distance between the two points. (5,-3) (-4,7)

Answer:

Step-by-step explanation:

The first 2 pieces of this function agree at pi/4, so we will set them equal to each other and sub in pi/4 for x to solve for k:

[tex]ksin(\frac{\pi}{4})+(\frac{\pi}{4})^2=\frac{\pi}{4}+2[/tex] and

[tex]k(\frac{\sqrt{2} }{2})+\frac{\pi^2}{16}=\frac{\pi}{4}+2[/tex] and we'll multiply everything by 16 to get rid of the fractions. Doing that gives us:

[tex]8k\sqrt{2}=4\pi+32-\pi^2[/tex] and

[tex]k=\frac{4\pi+32-\pi^2}{8\sqrt{2} }[/tex] so

k = 3.067

The next one is a bit tricky if you're not up on your natural log equations.

Again, we set these equal to each other because they meet at the value of e. We sub in e for x and solve for m:

[tex]x +2=mlne^x[/tex]

We'll sub in e for x. ln of e to the x power is equal to x, so

e + 2 = me and

[tex]m=\frac{e+2}{e}[/tex] so

m = 1.736

Hope that helps!

Answer:

Distance  =  5.099

Step-by-step explanation:

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

[tex]DF=DE+EF[/tex]

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

[tex](3x+5)=(2x)+(2x-6)[/tex]

Now, solve for x.

On the right, combine like terms:

[tex]3x+5=4x-6[/tex]

Subtract 4x from both sides:

[tex]-x+5=-6[/tex]

Subtract 5 from both sides:

[tex]-x=-11[/tex]

Divide both sides by -1:

[tex]x=11[/tex]

Now that we know x is 11, substitute this back into the equation for EF to find EF.

[tex]EF=2x-6[/tex]

Substitute 11 for x:

[tex]EF=2(11)-6[/tex]

Multiply:

[tex]EF=22-6[/tex]

Subtract:

[tex]EF=16[/tex]

And we're done!

6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363

To find the decimal equivalent of the division 350 divided by 55, you simply divide 350 by 55 using long division. Here's the step-by-step calculation:

   6.363636...

 _______________

55 | 350.000000

    - 330

    _______

      200

      - 165

      ______

        350

        - 330

        ______

          200

          - 165

          ______

            350

            - 330

            ______

              200

              - 165

              ______

                ...

The division continues indefinitely with the decimal repeating the sequence 36.

Therefore, the decimal equivalent of 350 divided by 55 is 6.363636...

Based on the options provided:

A) 6.6 is not correct as it rounds up the decimal prematurely.

B) 6.36 is not correct as it does not account for the repeating decimal.

C) 6.363 is not correct as it rounds down the decimal prematurely.

D) 6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363.

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Answer:

Step-by-step explanation:

This problem bothers on probability

Given that two dice are expected to give an outcome of sum greater than 8

But in the problem statement the first die is already settled since it is showing 6 already.

Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)  

The probability of obtaining either of these numbers is 4/6= 2/3

Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3

Answer:

Step-by-step explanation:

Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

Y = y1+y2/2

Given (X,Y) = ()4, -6)

U (x1, y1) = (7, -9)

To get x2 and y2, we will substitute the given values into th formula above;

4 = (7+x2)/2

cross multiply

4*2 = 7+x2

8 = 7+x2

x2 = 8-7

x2 = 1

Similarly for y2;

-6 = (-9+y2)/2

cross multiply

-6*2 = -9+y2

-12 = -9+y2

y2 = -12+9

y2 = -3

Hence the other coordinate V(x2, y2) is (1, -3)

Answer:

r= -1.2

Step-by-step explanation:

first use distributive property

- 3(4r - 8) = 36 - 2r

-12r +24 = 36-2r

+2r.           +2r

-10r +24= 36

-24.           -24

-10r = 12

/-10.     /-10

r= -1.2

Answer:

Step-by-step explanation:

Equation: -3(4r - 8) = 36 - 2r

Step 1:

-12r + 24 = 36 - 2r       Multiply (4r - 8) by -3 using the Distributive Property.

Step 2:

-10r + 24 = 36        Add -12r and -2r by 2r.

Step 3:

-10r = 12        Subtract 24 and 36 by 24.

Step 4:

r = -12/10          Divide both sides by -10

Step 5:

r = -6/5           Simplify the fraction.

Answer:

x=7

Step-by-step explanation:

Collect like terms:

-x=6-3x+8

-x+3x=6+8

Simplify

2x=14

Simplify

x=7

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

Answer:

2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  

Step-by-step explanation:

its just 2/6

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

[tex]Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}[/tex]

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in [tex]0<x<106,800[/tex], therefore

[tex]Tax=0.062x[/tex]

Put x=102000.

[tex]Tax=0.062(102000)[/tex]

[tex]Tax=6324[/tex]

So, the Social  Security tax is $6324.

Therefore, the correct option is c.

Step-by-step explanation:

1.5y - 9.82 = -9.37 - 10.1y - 14.37

1.5y + 10.1y = 9.82 -9.37 - 14.37

11.6y = −13.92

y = (-13.92)/11.6

y = -1.2

Answer:

56

Step-by-step explanation:

Answer:

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

Step-by-step explanation:

Step one,

Simplify the radical expression:

8(4√7 - √18)  

Still Stuck?  *( √18 Simplified is 3√2)*

Your answer should look like this:  8(4√7 - 3√2)

Step two,

Distribute 8 through the parentheses:

8(4√7 - 3√2)

Still Stuck?   *( Use distribuitave property to distribute 8 to (4) and (-3). You should get (32) and (-24)*

Your answer should look like this: 32√7 - 24√2

Solution,

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

*For alternative form, plug the final answer into your calculator. Round it if necessary*

Q is located at (0,6)

The translation rule is [tex](x,y) \to (x+7,y-5)[/tex] which says to add 7 to the x coordinate and subtract 5 from the y coordinate. Doing that to (0,6) moves it to (7,1) which is where point Q' is located.

In other words, if you shift point Q(0,6) seven units to the right and five units down, then it arrives at Q ' (7,1)

The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].

Note - There are typing mistakes in the question. Correct statement is presented below:

Point Q' is the image of [tex]Q(0,6)[/tex] under the translation [tex](x,y) \to (x+7, y-5)[/tex]. What are the coordinates of Q'.

In this question we should use the point and the operation described in statement. Vectorially speaking, a translation is defined by the following operation:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]Q(x,y) = (0,6)[/tex], then the coordinates of [tex]Q'(x,y)[/tex] are:

[tex]Q'(x,y) = Q(x,y) + (7,-5)[/tex]

[tex]Q'(x,y) = (0,6) + (7,-5)[/tex]

[tex]Q'(x,y) = (7, 1)[/tex]

The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].

We kindly invite to see this problem on rigid transformations: https://brainly.com/question/18613109

Answer:

81 ft

Step-by-step explanation:

1 yard=3ft

27 x 3=81

So the answer is 81 ft

Answer:

If you are looking for y it's 5

Step-by-step explanation:

Plug in 3 for x

7(3) -3y = 6

21 - 3y = 6

subtract 21 from both sides

-3y = - 15

divide by three from both sides

y = 5

Answer:

50

Step-by-step explanation:

889*27=24003

889*27+50=24053

24053

-24003

00050

Answer:

1

Step-by-step explanation:

Because they both of the same base, we can merge 2^5 and 2^3 into one term: 2^8 (2^(3+5))

4 is = 2^2 so we can change 4^4 to 2^8.

(2^(2*4)).

Thia means we now have 2^8/2^8 which is 1.

As anything divided by itself is just 1.

Hope this helped!

Answer:

[tex]n^4[/tex]

Step-by-step explanation:

So we have:

[tex]n^{-2}\cdot n^6[/tex]

We can use the following property:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

Thus, our expression is equivalent to:

[tex]=n^{-2+6}[/tex]

Add:

[tex]=n^4[/tex]

And we're done!

n2

i have taken something like this before!

False because 22 + 32 =54

Answer:

No. 22+32=54

Step-by-step explanation:

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received  is x emails then Sara received  2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

Answer:

200 bags are needed

Step-by-step explanation:

First let us determine the area of the corn field:

Shape of cornfield = square

Area of a square = Length × Length

where: Length = 100 yards

∴ Area = 100 × 100 = 10,000 square yards

1 bag of fertilizer is needed to cover 50 square yards:

50 square yards = 1 bag of fertilizer

[tex]\therefore 1 \ square\ yard\ = \frac{1}{50}\ bag\\10,000\ square\ yards\ =\ \frac{1}{50} \times 10,000 = \frac{10l000}{50} \\ = 200 bags[/tex]

Hence, 200 bags are needed.

Answer:

200 bags are needed

Step-by-step explanation:

I did the test and got it correct good luck everyone !!

Answer:

hello it is so

Step-by-step explanation:

simple simply do the division if don't I can

Answer:

Im positive it is C if its not im sorry

Step-by-step explanation:

Answer:

We can find an expression equivalent to the one given by expanding the expression given,

[tex](x + 9)(x - 2) - 9x - 6\\x^2-2x+9x-18-9x-6\\x^2-2x-24[/tex]

So [tex]x^2-2x-24[/tex] is a possible expression.

The required expression equivalent to (x + 9)(x - 2) - 9x - 6 is  (x + 4)(x - 6).

Given that,
(x + 9)(x - 2) - 9x - 6, an equivalent expression is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

= (x + 9)(x - 2) - 9x - 6
= x² + 9x -2x -18 - 9x - 6
= x² - 2x - 24
= x² -6x + 4x - 24
= x (x - 6) + 4 (x - 6)
= (x + 4)(x - 6)

Thus, the required expression equivalent to (x + 9)(x - 2) - 9x - 6 is  (x + 4)(x - 6).

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15 stacks high or 405 if done 27 times

Answer:

15 stacks

If she does it for 27 more times it will be

405

Step-by-step explanation:

Notice that 15 squared = (3 * 5)^2 = 9 * 25 = 225.

So the area of the cornfield can be 225 square acres.

Answer:

x = 2, 4

Step-by-step explanation:

Step 1: Write out quadratic

x² - 6x + 10 = 2

Step 2: Subtract 2 on both sides

x² - 6x + 8 = 0

Step 3: Factor

(x - 4)(x - 2) = 0

Step 4: Find roots

x - 4 = 0

x = 4

x - 2 = 0

x = 2