Which mathematical operation changes 2amd 1/3 to 2

Answer:

y=3/4x-9/2

Step-by-step explanation:

Answer:

2 staff members

Step-by-step explanation:

Given

See attachment for missing details

Let

[tex]s \to staff\ member[/tex]

[tex]p \to participant[/tex]

[tex]e \to puzzle[/tex]

Required

Staff members for 18 participants

From the attachment, we have:

[tex]1s \to 8p[/tex] ---- 1 staff member to 8 participants

[tex]s \to 8p[/tex]

Multiply both sides by 1

[tex]s * 2 \to 8p * 2[/tex]

[tex]2s \to 16p[/tex]

This means that 2 staff members are required for 16 participants

Answer:

16 + 2n

Step-by-step explanation:

n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition

Answer:

Whe we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here, so the domain is:

x ∈ (-∞, ∞)

Answer:

x-intercept(s):  

( 0 , 0 )

y-intercept(s):  

( 0 , 0 )

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

This has no real starting point. The x-intercept as well as the y-intercept is (0,0).

AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .

Answer:

about 8/25

Step-by-step explanation:

32.3% = 32/100 = 16/50 = 8/25

rounded percentage down.

put over 100

reduce fraction

Answer:

Z +7

Step-by-step explanation:

Z-4/4+8

Divide first

Z -1 +8

Add and subtract

Z +7

Answer:

[tex]15,120[/tex]

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of [tex]9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}[/tex] permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

Answer:15,120

Step-by-step explanation:

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream[tex]=\dfrac{60}{3}=20\ mph[/tex]

The rate while moving upstream [tex]=\dfrac{60}{5}=12\ mph[/tex]

The rate of the boat in still water is the average of these:

[tex]v_s=\dfrac{20+12}{2}=16\ mph[/tex]

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

Answer:

12

Step-by-step explanation:

The amount of children that do like ice cream are 14/26 so the children that do not like ice cream 14/26, and the numerator is 12

Answer:

1) 2x-1

2) 8 , 11, 11.3

Step-by-step explanation:

1) To figure out the inverse of a function , first change the F(x) to y

y = [tex]\frac{x+1}{2}[/tex]

Then switch the x and y

x = [tex]\frac{y+1}{2}[/tex]

Solve for y. Multiply by 2 both sides. Subtract 1 from both sides.

2) Use distance formula : d = [tex]\sqrt{(x_{2}-x_{1}) ^{2} + (y_{2}-y_1)^{2} }[/tex]

the first two are easy because the same x value. so just calculate Δy

-2 - 6 = -8 When you square it it becomes positive 64 and square root it and it becomes 8.

the next is a Δx. same method. 8-(-3) = -11 Square and square root and you get 11.

last one use the formula. substitute values of x's and y's into equation and solve for d.

Answer:

answer is 0 in the ones column

Answer:

Who Knew Mean = 4.825

Amazing prime mean =

Peach TV mean = 5.025

Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!

Answer:

y = (8+x)^5 + C

Step-by-step explanation:

Given the differential equation

(8+x) dy/dx = 5y

Using the variable separable method

(8+x) dy = 5ydx

dx/8+x = dy/5y

Integrate both sides

[tex]\int\limits^ {} \, \frac{dx}{8+x} = \int\limits^ {} \, \frac{dy}{5y} \\ln(8+x) = \frac{1}{5}lny\\5ln(8+x)= lny\\ln(8+x)^5 = lny\\ (8+x)^5 = y\\Swap\\y = (8+x)^5 + C[/tex]

This gives the required solution

The explicit general solution to the following differential equation[tex](8+x)\dfrac{dy}{dx} = 5y[/tex]  is [tex](8+x)^5 +C[/tex], where [tex]C[/tex] is a constant.

The relationship between the unknown function and its derivative is called the differential equation.

The differential equation in which variables are separated from each other is called the variable separable method.

Now, separate the variables using the variable separable method:

[tex](8+x){dy} = 5y \ dx[/tex]

[tex]\dfrac{dx}{8x} = \dfrac{dy}{5y}[/tex]

Integrating both sides,

[tex]\int \dfrac{dx}{x+8} = \int \dfrac{dy}{5y}\\log(x+8) = \dfrac{1}{5} log y\\ 5 log(x+8) = log y\\log(x+8)^{5} = log y \ \ \\y = ( x+8)^{5} +C[/tex]

Thus, the explicit general solution to the equation is [tex](8+x)^5 +C[/tex].

Learn more about differential equations here:

https://brainly.com/question/33814182

#SPJ6

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

Answer:

6x+4 ft

40 ft

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

  = 2( x+5 + 2x-3)

Combine like terms

  = 2(3x+2)

 Distribute

  =6x+4

Let x= 6

 = 6*6+4

  = 36+4

  = 40

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

Answer:

2. He finds 50° on the protractor and draws a mark on the paper.

Step-by-step explanation:

Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.

The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.

Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.

Answer He finds 50° on the protractor and draws a mark on the paper.

Answer:

16 orang

Step-by-step explanation:

jumlah siswa pria = 45-25 = 20 orang

jumlah siswa pria yang berkacamata =

7-3 = 4 orang.

maka jumlah siswa pria yang tidak berkacamata =

20-4 = 16 orang

semoga membantu

I don't know what your looking for, so be more specific, but I'm assuming your solving for x, so that's would be

x = -1

Answer:

We can simply solve all of these by simplifying them :)

1 . 13 - 4x = 1 - x =

x = 4

2 .  7a - 3 = 3 + 6a =

a = 6

3 . 5 + 2x = -2x + 6 =

x = 1/4

4 . -11 + x = 7x - 5 =

x = -1

Answer:

54

Step-by-step explanation:

Angle 2 and Angle 3 are vertical angles

Vertical angles are congruent ( equal to each other )

So if angle 2 = 54 then angle 3 also equals 54

Answer:

∠3 = 54°

Step-by-step explanation:

54° and ∠3 are vertical angles, which means they are equal .

54° = ∠3

Answer: 0.61

Step-by-step explanation:

Divide 12.2 by 20

I am not sure if this is the answer you can try it

Answer:

$30.50

Step-by-step explanation:

20 x 12.20 = 244

244 divided by 8 = $30.50

-4/3

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Answer:

Oval frames = 17

Rectangular frames = 51

Step-by-step explanation:

Given that :

Paintings on wall are either oval or rectangular ;

Let :

Oval painting = x

Rectangular painting = y

According to the information given :

x + y = 68 - - (1)

Rectangular frames = 3 times oval frames

y = 3x - - - (2)

Put y = 3x in equation (1)

x + 3x = 68

4x = 68

x = 68/4

x = 17 frames

From :

x + y = 68

17 + y = 68

y = 68 - 17

y = 51

Oval frames = 17

Rectangular frames = 51

Answer:

[tex]4 < c < 24[/tex]

Step-by-step explanation:

Given

[tex]a = 10[/tex]

[tex]b = 14[/tex]

Required

The possible length of c

Using triangle inequality theorem, we have:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

So, we have:

[tex]a + b > c[/tex]

[tex]10 + 14 > c[/tex]

[tex]24 > c[/tex]

Also:

[tex]a + c > b[/tex]

[tex]14 + c > 10[/tex]

[tex]c > 10 - 14[/tex]

[tex]c > - 4[/tex]

Lastly;

[tex]b + c > a[/tex]

[tex]10 + c > 14[/tex]

[tex]c > 14 - 10[/tex]

[tex]c > 4[/tex]

Write out all inequalities without negative consideration

[tex]24 > c[/tex]

[tex]c > 4[/tex]

Rewrite as:

[tex]c < 24[/tex]       [tex]4 < c[/tex]

Writing both together, we have:

[tex]4 < c < 24[/tex]

Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]

Answer:

$2182.13

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is principal, R is rate of interest, T is time in years )

Here P = $34,500 , R = 6.9 and T = [tex]\frac{11}{12}[/tex] , then

I = [tex]\frac{34500(6.9)(\frac{11}{12}) }{100}[/tex]

  = 345 × 6.9 × [tex]\frac{11}{12}[/tex]

  = $2182.13

Answer:

Number of 10 cents = 18

Number of  20 cents = 10

Step-by-step explanation:

Let number of 10 cents be = x

Let number 20 cents be = y

Total number of coins = x + y = 28  -------- ( 1 )

Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )

Solve the equations to find x and y

( 1 ) => x + y = 28

         x = 28 - y

Substitute x in ( 2 )

( 2 ) => 0.10(28 - y) + 0.20y = 3.80

          2.80 - 0.10y + 0.20y = 3.80

            0.10 y = 3.80 - 2.80

            0.10 y = 1.00

                [tex]y = \frac{1}{0.10} = 10[/tex]

                y = 10

Substitute y in ( 1 ) => x + y = 28

                                x + 10 = 28

                                x = 28 - 10

                                x = 18

Answer: hello your question is poorly written attached below is the complete question

answer:

i) Degrees of freedom : 2, 46 , 44

ii) Mean square : 650 , 13.4

iii) F = 47.65

Step-by-step explanation:

First treatment = 12 experimental units

Second treatment = 15 experimental units

Third treatment = 20 experimental units

completing  the analysis

i) Degree of freedom

for Treatments = 3 - 1 = 2

for Total = ( 12 + 15 + 20 ) - 1 = 47 - 1 = 46

for error = 46 -2 = 44

ii) Mean square

  for treatments = sum of squares / degree of freedom = 1300/2 = 650

  for error = 600 / 44 = 13.64

iii) F

= Ms of treatment / Ms of error

= 650 / 13.64 = 47.65