does 2^5 =5^2 ? Use the drop-down menus to explain

Answer:

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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:

$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:

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.

Answer:

y = -2

Step-by-step explanation:

Y × 9 = -18

Y = -18 / 9

Y = -2

Answer:

Ben

Step-by-step explanation:

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

Answer:

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

Answer:

No

Step-by-step explanation:

The ratios are not common

Answer:

No

Step-by-step explanation:

the ratios are not common.

Hello.

First, we have a number k multiplied by 6, so we write

6 times a number k

or

6 times k

Now, we also add 23.

We can write it as

the product of 6 and k plus 23

or

6 times k plus 23

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

12% of 85 =x                Change the % to a fraction

12/100 * 85 =  x            Divide 100 into 85

12 * 0.85 = x                 Multiply by 12

10.2 = x

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:

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:

3c-6

Step-by-step explanation:

One day is c-2 so we need to multiply by 3. We get 3(c-2) or 3c-6.

Tip: use the variables/numbers in the problem to form an equation. Then, simplify.

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:

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:

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:

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:

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

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:

area of a deck

A= External area - Internal area

A = length x width

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

A = 720ft²

Answer:

7

Step-by-step explanation:

2(3)(0) + 7

6(0) + 7

0 + 7

7

Have an amazing day!

PLEASE RATE!

Answer:

Denominators

Step-by-step explanation:

a. 4

b. 7

c. 3

d. 3

Just divide the denominator of the fractions

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:

Step-by-step explanation:

320% 360 = ?

320/100 * 360 =

3.2*360 = 1152

Answer:

Step-by-step explanation:

Remark.

I take it that this is a calculus question question.

Expand c(x)

c(x) = 0.45 + 0.2x - 0.2        Combine

c(x) = 0.25 + 0.2x/dx

c(x) =  0.2

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]

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]

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:

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:

0.05x+0.10(35-x)=2.50

(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100

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