For numbers 11-13, refer to the figure below.​

Answer:

area of a deck

A= External area - Internal area

A = length x width

A = ( 44ft x 28ft) - ( 32ft x 16ft)

A = 720ft²

Answer:

24.123

Step-by-step explanation:

Simplify  6.7 + 3  to  9.7

9.7 + 9.863 + 4.56

Simplify  9.7 + 9.863   to  19.563

19.563 + 4.56

Simplify

24.123

Answer:

Divide by 2.54

Step-by-step explanation:

Because a centimeter is smaller than an inch, you have to divide by 2.54 when converting from cm to inches.

Answer:

$2.25

Step-by-step explanation:

First, you have to add the amount that Aaron paid. Then, subtract it from 10, which is the amount of the bill he is paying with.

5.25 + 2.50 = 7.75

10-7.75 = 2.25

Answer:

$2.25

Step-by-step explanation:

First, we will find out how much he needs to pay.

$5.25 + $2.50 = $7.75

Then, we will find the amount of change he should receive.

$10.00 - $7.75 = $2.25

Answer:

Denominators

Step-by-step explanation:

a. 4

b. 7

c. 3

d. 3

Just divide the denominator of the fractions

Substitute [tex]y = x^{\frac{2n-1}2}[/tex] and [tex]dy = \frac{2n-1}2 x^{\frac{2n-3}2} \, dx[/tex]. Then the integral is

[tex]\displaystyle \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1 + x^{2n-1}} \, dx = \frac2{2n-1} \underbrace{\int_0^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy}_I[/tex]

which is to say, the integral is now independent of n. Then

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = I \sum_{n=1}^\infty \frac{2(-1)^{n+1}}{2n-1}[/tex]

Let's evaluate the sum. Recall that if |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

which means

[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{n=0}^\infty \left(-x^2\right)^n = \sum_{n=0}^\infty (-1)^n x^{2n}[/tex]

By the fundamental theorem of calculus, integrating both sides gives

[tex]\displaystyle \tan^{-1}(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1} = \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

As x approaches 1 from below, we have

[tex]\displaystyle \lim_{x\to1^-} \tan^{-1}(x) = \lim_{x\to1^-} \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

[tex]\displaystyle \frac\pi4 = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1} \left(\lim\limits_{x\to1^-} x^{2n-1}\right) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1}[/tex]

and so

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 I[/tex]

Now compute the remaining integral. First split it at y = 1 :

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy[/tex]

In the second integral, notice that replacing [tex]z=\frac1y[/tex] and [tex]dy = -\frac{dz}{z^2}[/tex] yields

[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy = - \int_1^0 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1 + \frac1{z^2}} \, \frac{dz}{z^2}  = \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz[/tex]

The inverse tangent function has the property

[tex]\tan^{-1}(x) = \dfrac\pi2 - \tan^{-1}\left(\dfrac1x\right)[/tex]

so it follows that

[tex]\displaystyle \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz = \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

and hence

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

[tex]\displaystyle I = \frac\pi2 \int_0^1 \frac{dz}{1+z^2}[/tex]

[tex]I = \dfrac\pi2 \times \dfrac\pi4 = \dfrac{\pi^2}8[/tex]

Then the original expression has an exact value of

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 \times \frac{\pi^2}8 = \boxed{\frac{\pi^3}{16}}[/tex]

Answer:

No

Step-by-step explanation:

The ratios are not common

Answer:

No

Step-by-step explanation:

the ratios are not common.

Answer:

I guess it's 6 but I'm not really sure about my answer

Answer:

y = -2

Step-by-step explanation:

Y × 9 = -18

Y = -18 / 9

Y = -2

Answer:

B is the better buy.

Step-by-step explanation:

A: conical container: volume = π(6/2)²*9/3 = 27π

B: cylindrical container: volume = π(6/2)²*9 = 81π

Cost per unit volume:

A: $1.75/(27π) = $0.0206

B: $3.75/(81π) = $0.0147

So B is cheaper.

B is the better buy.

A. The mass of the rock in ounce is 22400 ounce.

B. The mass of the rock in ton is 0.7 ton

1 pound = 16 ounce

Therefore,

1400 pound =1400 × 16

1400 pound = 22400 ounce

1 pound = 0.0005 ton

Therefore,

1400 pound =1400 × 0.0005

1400 pound = 0.7 ton

Learn more about conversion:

https://brainly.com/question/2139943

Answer:

14 and 19

Step-by-step explanation:

33-5=28

28÷2=14

Hence, one of the number is 14.

14+5=19.

Another number is 19.

∴For checking:

19+14=33

19-14=5

Answer:

wouldt be 112,000?

Step-by-step explanation:

Dont you do 10x9x4x4??

That is how i was tought how to do it. I dont know about you.

Answer:

80

Step-by-step explanation:

The 4 doesn't matter right now unless you were solving for area. Visualize the shape as a normal rectangle with no cut out. That would make the bottom line 10+10+10 which equals 30. The top line is the same as the bottom, so that would also be 30. Then you just have the two sides which are both 10, combined them and they would add up to 20. Perimeter is the distance around the edge of a shape. You find the perimeter by adding up the distance of all the sides. So in conclusion, you're answer will be 30+30+10+10 which equals 80.

Answer:

i wrote an explanation and the answers below!

Step-by-step explanation:

so ill give you a few tips on these!

1/2 can be written as 0.50 since its half .

1/4 can be written as 0.25 since its fourth (i dont know how to say it loll) ?

2 1/2 is 2.50 because it has 2 and 0.5

now ill just solve the rest since i explained

3 1/4 = 3.25

20 1/2 = 20.5

10.

to solve for these you have to simplify and look for the GCF (greatest common factor)

20/4

the GCF is 4 because you can divide 4 to the numerator and the denominator, and because it is the biggest value that you can divide between them

so now you just have to simplify it

20/4 = 5

30/5 = 6

40 / 8 = 5

Answer:

there were 223 child plates and 149 adult plates

Step-by-step explanation:

There were 223 child plates.

Since there were a total of 372 plates, there will be 149 adult plates (223 + 149 = 372)

To verify, the total amount raised would be $2121.50:

3.50c + 9a = 2121.50

3.50*223 + 9*149 = 780.50 + 1341.00= $2121.50

Answer:

10.5

Step-by-step explanation:

you half 50 minutes to get 25 so you do the same to the seven to get 3.5 and then you add 7 and 3.5 together

Answer:

= 0.25

Step-by-step explanation:

p (A)= 0.4

P (B)= 0.6

P (A and B) = P (A) × P (B)

= ( 0.4 × 0.6 )

= 0.25

Answer:

7

Step-by-step explanation:

2(3)(0) + 7

6(0) + 7

0 + 7

7

Have an amazing day!

PLEASE RATE!

Answer:

The least common denominator for 1/3 and 5/11 is 33, and the least common denominator for 4/5 and 1/6 is 30! Hope this helps.

Step-by-step explanation:

Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the phrasing may have influenced responses.

At the null hypothesis, it is tested if there is no difference between the proportions, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

For each sample, we have that:

[tex]p_1 = \frac{463}{615} = 0.7528, s_1 = \sqrt{\frac{0.7528(0.2472)}{615}} = 0.0174[/tex]

[tex]p_2 = \frac{403}{585} = 0.6889, s_2 = \sqrt{\frac{0.6889(0.3111)}{585}} = 0.0191[/tex]

For the distribution of differences, we have that:

[tex]\overline{p} = p_1 - p_2 = 0.7528 - 0.6889 = 0.0639[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0174^2 + 0.0191^2} = 0.0258[/tex]

It is given by:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

[tex]z = \frac{0.0639 - 0}{0.0258}[/tex]

[tex]z = 2.47[/tex]

Considering a two-tailed test, as we are testing if the proportion is different of a value, and a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex].

Since the absolute value of the test statistic is greater than the critical value, it is found that there is evidence that the phrasing may have influenced responses.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

Step-by-step explanation:

320% 360 = ?

320/100 * 360 =

3.2*360 = 1152

after x days they will have 3000 - 200x

Answer:

Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment.

Answer:

70

Step-by-step explanation:

if 21 is 30%, divide 21 by 3 for get 7, which is 10%. Now multiply 7 by 10 to get 70 which is 100%

Hey! 70 skittles is your answer. My work's below!

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

First, use this formula:

a certain percent (%) = a certain number (#)  

# x 100 / %

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

In this scenario...

30% = 21 (your provided numbers)

21 x 100 / 30 (the formula in action)

2,100 / 30 = 70

(2,100 is the result of 21 x 100, so divided by 30 you have 70!)

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

Good luck! :)

~pinetree

Answer:

28

Step-by-step explanation:

Given:

Let [tex]x[/tex] = first number

[tex]\implies \dfrac76x = \textsf{second number}[/tex]

Therefore, as the sum of the two numbers is 52:

[tex]\implies \dfrac76x+x=52[/tex]

[tex]\implies \dfrac76x+\dfrac66x=52[/tex]

[tex]\implies \dfrac{13}{6}x=52[/tex]

[tex]\implies13x=52 \cdot 6[/tex]

[tex]\implies13x=312[/tex]

[tex]\implies x=\dfrac{312}{13}[/tex]

[tex]\implies x=24[/tex]

Therefore, the largest number is:

[tex]\implies \dfrac76\cdot 24 =\dfrac{168}{6}=28[/tex]

Answer:

54°

Step-by-step explanation:

In the given question we would like to solve for x .The two marked angles here are vertically opposite angles . And vertically opposite angles are equal .

So here (2x +2)° and (3x - 52)° are equal. Therefore,

[tex]\longrightarrow 2x + 2^o = 3x - 52^o\\ [/tex]

[tex]\longrightarrow 2x - 3x = -52^o -2^o \\ [/tex]

[tex]\longrightarrow -x = -54^o\\[/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}} [/tex]

Hence the value of x is 54°

And we are done!

Answer :

Explanation :

Here,

[tex] \longrightarrow \sf \qquad \: (3x - 52) {}^{ \circ} = (2x + 2) {}^{ \circ} [/tex]

[tex]\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^{ \circ} + {52}^{ \circ} [/tex]

[tex]\longrightarrow \bf \qquad \: x = {54}^{ \circ}[/tex]

Answer:

three-thirty (3:30)

Step-by-step explanation:

An hour is 60 minutes, so half an hour would be 30 minutes. Half past 3 would also be 30 minutes past 3, or 3:30.

I hope this helps!! :) Have a lovely day!!!

Answer:

The answer is 56m

Step-by-step explanation:

3696m³÷66m=56m

Hope this help!!

Width be x

ATQ

[tex]\\ \rm\hookrightarrow Area=Length\times breadth [/tex]

[tex]\\ \rm\hookrightarrow 66x=3696[/tex]

[tex]\\ \rm\hookrightarrow x=3696/66[/tex]

[tex]\\ \rm\hookrightarrow x=56m[/tex]

Answer:

Ben

Step-by-step explanation:

Ben is correct. because you have  to start 0° from right hand side.

Answer:

The answer is [tex]y=-(\frac{8}{3} )x+\frac{53}{3}[/tex]

Answer:

53 answer y hijsbjdh

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3