In the following shape, two semicircles have been placed at the end of a rectangle whose length is twice its height. Which of the following gives the length around this figure in terms of the semicircle's radius, r?

Answer:

  y = (-1/80)x^2 +2x

Step-by-step explanation:

The graph of the equation for the arch will go through the points ...

  (0, 0), (160, 0), (80, 80)

We can start by making use of the zeros to write the function ...

  y = a(x -0)(x -160)

To make the graph go through the point (80, 80), we must have ...

  80 = a(80 -0)(80 -160) = (-80^2)a

  -1/80 = a . . . . . . divide by the coefficient of "a"

So, our equation is ...

  y = (-1/80)x(x -160)

  y = (-1/80)x^2 +2x

Answer:

a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)

b) Brightness as measured by a light meter: Ratio, quantitative and continuous.

c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)

d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.

e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.

f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).

Answer:

f(1) = -6

f(2) = -4

f(n) = f(n - 2) + f(n - 1)

=> f(3) =  f(2) + f(1) = -6 + (-4) = -10

Hope this helps!

:)

Answer:

f(3)=-10

Step-by-step explanation:

Khan

Writing the integral in polar coordinates is less taxing:

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\iiint_Rrf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

The region R is captured by the set of points (in polar, of course)

[tex]R=\left\{(r,\theta)\mid1\le r\le3\land\dfrac{5\pi}4\le\theta\le2\pi\right\}[/tex]

so that the integral is

[tex]\displaystyle\int_{5\pi/4}^{2\pi}\int_1^3rf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

In rectangular coordinates, we have to split up the region so that

[tex]R=R_1\cup R_2\cup R_3[/tex]

where

[tex]R_1=\left\{(x,y)\mid-\dfrac3{\sqrt2}\le x\le-\dfrac1{\sqrt2}\land-\sqrt{9-x^2}\le y\le x\right\}[/tex]

[tex]R_2=\left\{(x,y)\mid-\dfrac1{\sqrt2}\le x\le1\land-\sqrt{9-x^2}\le y\le -\sqrt{1-x^2}\right\}[/tex]

[tex]R_3=\left\{(x,y)\mid1\le x\le3\land-\sqrt{9-x^2}\le y\le0\right\}[/tex]

and the integral is split into 3 over these regions,

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\sum_{n=1}^3\iint_{R_n}f(x,y)\,\mathrm dx\,\mathrm dy[/tex]

Answer:

Step-by-step explanation:

The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.

Answer:

Cube=150cm^2

Triangular Prism=228ft^2

Step-by-step explanation:

Cube

[tex]A=6a^2=6*5^2=150cm^2[/tex]

Triangular prism

Using these formulas

[tex]A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}[/tex]

Solving for A

[tex]A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2[/tex]

Answer:

x = 2, x = 4

Step-by-step explanation:

The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.

given that y = -8, and substituting this into equation y = 10 - 9x,

we have, -8 = 10 - 9x

10 + 8 = 9x

9x = 18; dividing both sides by 9

x = 2

given that y = -26, and substituting this into equation y = 10 - 9x,

we have, -26 = 10 - 9x

10 + 26 = 9x

9x = 36; dividing both sides by 9

x = 4

Answer:

If there is an even number of numbers, the median is the average of the two numbers in the middle.

Step-by-step explanation:

To find the median of any set of numbers, put them in order from smallest to greatest. If a number occurs more than once, list it more than once. The number in the middle is the median. If there is an even number of numbers, the median is the average of the two numbers in the middle. For your first example, we line them up: 3, 6, 6.

Answer:

Set them from least to greatest and remove one from each side until you find the middle number! If you're left with 2, add them both and divide by 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:  Divide

3

4

which is the amount of cheese she has,

by

1

32

which is the amount of cheese required for each sandwich.

3

4

1

32

This is a complex fraction.

Simplify the fraction by multiplying both the numerator fraction and the denominator faction by the inverse of the bottom fraction

1

32

3

4

×

32

1

1

32

×

32

1

The bottom fraction times its inverse is equal to

1

leaving

3

4

×

32

1

4

divides out of

4

and

32

leaving

3

×

8

=

24

sandwiches

Answer:

three sides measuring 4 ft, 8 ft, and 10 ft

Step-by-step explanation:

To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.

The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.

4 ft, 8 ft, and 10 ft are in simple multiple of 2

4 ft, 8 ft, and 10 ft  = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.

Answer:

d

Step-by-step explanation:

Answer:

The total cost of the framing for the painting is $0.40·P

Step-by-step explanation:

The first step to be done is to measure the length of the perimeter of the painting

Whereby the perimeter of the painting is p inches long, then the total cost of the framing will be found to be as follows

Total cost of framing = Cost per inch of framing × Perimeter of painting

∴ Total cost of framing = $0.40 × p

The total cost of the framing for the painting = $0.40·P.

Answer:r=3q+2/3

Step-by-step explanation:

Step 1: Flip the equation.

3r-6=9q-4

Step 2: Add 6 to both sides.

3r-6+6=9q-4+6

3r=9q+2

Step 3: Divide both sides by 3.

3r/3=9q+2/3

r=3q+2/3

Hopefully it’s right

Rearranging the equation, so q is the independent variable as r=(9q+2)/3.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 9q-4=3r-6.

Now, 9q-4+6=3r

3r=9q+2

r=(9q+2)/3

Therefore, rearranging the equation, so q is the independent variable as r=(9q+2)/3.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex] (An ellipse)

Step-by-step explanation:

Let consider the following trigonometric identity:

[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]

Each trigonometric function is cleared respectively in given parametric equations:

[tex]\cos \theta = \frac{x-2}{3}[/tex] and [tex]\sin \theta = \frac{y + 1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex]

Which represents an ellipse.

Answer:

[tex](5x)^2+(4y)^2[/tex]

Step-by-step explanation:

[tex]25x^2+16y^2=\\(5x)^2+(4y)^2[/tex]

Hope this helps!

Answer:

-129

Step-by-step explanation:

-3+6-12+24-48+96-192=

6+24+96-3-12-48-192=

126-255=

-129

Hope this helps!

Answer:

$1272.28

Step-by-step explanation:

Our equation is

[tex]p*(1+x)^{t}[/tex] , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

[tex]1000*(1+0.035)^{7}[/tex] = around 1272.28

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the the shape is going to end up in the third quadrant.the squadron only includes both negative X values and negative y values meaning that both X and y will be negative.

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

  The test statistic for μ1 - μ2 is   [tex]\= x_1 - \= x_2 = 40[/tex]

b

  The standardized test statistic for μ1 - μ2 is   [tex]z = 2.5[/tex]

c

  No

d

    Fail to reject null hypothesis  [tex]H_O : \mu_1 \ge \mu_2 ; H_a : \mu_1 < \mu_2[/tex] At the 1% significance level , there is insufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

The given data is  

         [tex]\= x_1 = 1240[/tex]

          [tex]\= x_2 = 1200[/tex]

           [tex]n_1 = 40[/tex]

           [tex]\alpha = 0.01.[/tex]

          [tex]n_2 = 80.[/tex]

           [tex]\sigma 1 = 65 \ and\ \sigma2 = 110.[/tex]

Now the test statistic is mathematically evaluated as

           [tex]\= x_1 - \= x_2 = 1240 -1200[/tex]

          [tex]\= x_1 - \= x_2 = 40[/tex]

 The standardized test​ statistic is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2}{\sqrt{\frac{\sigma_1^2}{n_1} } + \frac{\sigma_2^2}{n_2} }[/tex]

substituting values

     [tex]z = \frac{\= 1240 - \= 1200}{\sqrt{\frac{65^2}{40} } + \frac{110^2}{80} }[/tex]

     [tex]z = 2.5[/tex]

Now  the standardized test​ statistic is not in the rejection region because the z value of  [tex]\alpha[/tex]  is  2.33 and  the standardized test​ statistic  is greater than that hence it is not in the rejection region

This implies that the test statisties failed to reject the null hypothesis at significance level of 0.01 , there insufficient evidence to support the claim

Answer:

10

Step-by-step explanation:

x = root(6^2 + 8^)

...............

Answer:

1. -x + y = 3

m=  1

b=  3

2. -4x + 2y = 6

m=  2

b= 3

Step-by-step explanation:

Slope intercept is form to write equation for straight line.

It is represented as  y = mx+ b

where m is the slope of line

B is the y intercept (pint on y axis where the line crosses y axis)

________________________________________________

Given

1. -x + y = 3  

we need to convert this line in form of y = mx+ b

-x + y = 3

to do this we have to move - x from LHS to RHS

it can be done by adding both side +x which will eleminate -x from LHS

-x + y + x = 3 + X

=>y = 3 + x

=> y = x +c

Thus comparing it with slope form line: y = mx+ b

m =1

b = 3

__________________________________________________

Given

1. -4x + 2y = 6  

we need to convert this line in form of y = mx+ b

-4x + 2y = 6

to do this we have to move + 4x from LHS to RHS

it can be done by adding both side +4x which will eleminate -4x from LHS

-4x + 2y + 4x= 6 +4x

=>2y =6 +4x

Now we have to remove 2 from 2y =6 +4x

To do this we divide both side by 2 . now we have equation

=>  2y/2 =(6 +4x)/ 2 = 6/2 + 4x/2

=> y = 3 + 2x

Thus comparing it with slope form line:  y = mx+ b

m = 2

b = 3

__________________________________

Third part has 2x + =3 has y missing

it can be solved similarly.

say in place of y we have my where m is coefficient of y

2x + my =3

to do this we have to move + 2x from LHS to RHS

it can be done by subtracting -2x from both side  which will eleminate 2x from LHS

2x + my -2x =3 -2x

=>my =3 -2x

Now we have to remove m from my =3 -2x

To do this we divide both side by m . now we have equation

=>  my/m =(3 -2x)/ m = 3/m -2x/m

=> y = 3/m - 2x/m

Thus comparing it with slope form line:  y = mx+ b

m = -2/m

b = 3/m

Answer:

27/13+18/13i

Step-by-step explanation:

9/(3-2i)

=9(3+2i)/(3-2i)(3+2i)

=9(3+2i)/13

=27/13+18/13i

I hope this helped and have a good rest of your day!

Answer:

Step-by-step explanation:

researchers often measure individuals before and after treatment, and record the amount of difference between the two scores.

If the differences average around zero, it is an indication that the treatment has no effect.

However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect.

A positive score indicates more pain before treatment than after.

a. The mean of the sample for n = 20 scores is

+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

4 + 5 + 2 + 0 + 7 + 4 + 3 + 3 + 2 + (-2) + 1 + 6 + 0 + 4 + (-1) + 3 + 5 + 4 + 2

    = 55-3 / 20

   = 52/20 = +2.6

b. An average of +2.6 was estimated thus, it appears the treatment has an effect as a positive sign indicates more pain before treatment than after.

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

Answer 5

Step-by-step explanation:

Step-by-step explanation:

the solution is impossible since 15 read at least one type of them

The answer is I because S is at -2 and T is at 4.

Answer:

1125/1450 or simplify it, 45/58

Step-by-step explanation:

1125/1450 or simplify it, 45/58