If you put 5 things in your mouth and take 3 out and put them in another hole, how much things are inside of you?

Answer:

b) 8

Step-by-step explanation:

the angles are a linear pair meaning that they have a sum of 180. So 22x+4+180. Solve that and x=8

Answer:

B)     8

Step-by-step explanation:

(13x + 1) + (9x + 3) = 180

Combine like terms

22x + 4 = 180

Subtract 4 from both sides

22x = 176

Divide both sides by 22

x = 8

Answer:

the answer is c

Step-by-step explanation:

The median penguin height is greater at Cityview Zoo than at Park

Zoo, Option C is correct.

Mode is the most occuring number.

The range is the difference of the highest value and the lowest value.

The median is the middle value in a set of data

After finding the range and medians of the given data.

The median penguin at Cityview Zoo is 42 cm tall,

The median penguin at Park Zoo is barely 41 cm tall.

Cityview Zoo's median penguin height is higher than that of Park Zoo.

Hence, the median penguin height is greater at Cityview Zoo than at Park Zoo.

To learn more on Statistics click:

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Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Answer:

Problem 20)

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

A)

The velocity function is:

[tex]\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))[/tex]

The acceleration function is:

[tex]\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))[/tex]

B)

[tex]s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}[/tex]

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

[tex]\displaystyle y=\left(\cos x\right)^x[/tex]

We can take the natural log of both sides. This yields:

[tex]\displaystyle \ln y = \ln((\cos x)^x)[/tex]

Since ln(aᵇ) = bln(a):

[tex]\displaystyle \ln y =x\ln \cos x[/tex]

Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right][/tex]

Implicitly differentiate the left and use the product rule on the right. Therefore:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)[/tex]

Simplify:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}[/tex]

Simplify and multiply both sides by y:

[tex]\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)[/tex]

Since y = (cos x)ˣ:

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

We are given the position function of a particle:

[tex]\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)[/tex]

A)

Recall that the velocity function is the derivative of the position function. Hence:

[tex]\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}[/tex]

The acceleration function is the derivative of the velocity function. Hence:

[tex]\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}[/tex]

B)

The position at t = 0 will be:

[tex]\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}[/tex]

The velocity at t = 0 will be:

[tex]\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}[/tex]

And the acceleration at t = 0 will be:

[tex]\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}[/tex]

Answer:

What’s the numbers? Or the question?

Step-by-step explanation:

Answer:

In 2 2/5 hours, he will cover 20 km.

Step-by-step explanation:

Given that,

Ahmed can 8 1/3 km in one hour.

We need to find the distance he cover in 2 2/5 h.

In 1 hour = 8 1/3 km = 25/3 km

2 2/5 hour means 12/5 hour

In 12/5 hour = 12/5 × 25/3 km

= 20 km

So, in 2 2/5 hours, he will cover 20 km.

Answer:

B and C are the same angles so if B is 60 so is C

Answer:

b= 60

c= 60

Step-by-step explanation:

<b and 120 form a straight line so the add to 180

b+120 =180

b = 180-120

b = 60

angles b and c are alternate interior angles so they are equal

b = c= 60

Answer:

[tex]h(t)[/tex] is likely a quadratic function.

Based on values in the table, domain of [tex]h(t)[/tex] : [tex]\lbrace 0,\, 1,\, 2,\, 3,\, 4,\, 5,\, 6,\, 7,\, 8\rbrace[/tex]; range of [tex]h(t)\![/tex]: [tex]\lbrace 0,\, 35.1,\, 60.1\, 75.2,\, 80.3,\, 75.3,\, 60.2,\, 35.0 \rbrace[/tex].

Step-by-step explanation:

By the power rule, [tex]h(t)[/tex] is a quadratic function if and only if its first derivative, [tex]h^\prime(t)[/tex], is linear.

In other words, [tex]h(t)[/tex] is quadratic if and only if [tex]h^\prime(t)[/tex] is of the form [tex]a\, x + b[/tex] for some constants [tex]a[/tex] and [tex]b[/tex]. Tables of differences of [tex]h(t)\![/tex] could help approximate  whether [tex]h^\prime(t)\![/tex] is indeed linear.

Make sure that values of [tex]t[/tex] in the first row of the table are equally spaced. Calculate the change in [tex]h(t)[/tex] over each interval:

Consecutive changes to the value of [tex]h(t)[/tex] appears to resemble a line with slope [tex](-10)[/tex] within a margin of [tex]0.2[/tex]. Hence, it is likely that [tex]h(t)\![/tex] is indeed a quadratic function of [tex]t[/tex].

The domain of a function is the set of input values that it accepts. For the [tex]h(t)[/tex] of this question, the domain of [tex]h(t)\![/tex] is the set of values that [tex]t[/tex] could take. These are listed in the first row of this table.

On the other hand, the range of a function is the set of values that it outputs. For the [tex]h(t)[/tex] of this question, these are the values in the second row of the table.

Since both the domain and range of a function are sets, their members are supposed to be unique. For example, the number "[tex]0[/tex]" appears twice in the second row of this table: one for [tex]t = 0[/tex] and the other for [tex]t = 8[/tex]. However, since the range of [tex]h(t)[/tex] is a set, it should include the number [tex]0\![/tex] only once.

Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

[tex]\frac{11 p}{33 p}\times 100\\\\= 33.3 %[/tex]

The gain percent is 33.3 %.

Answer:

Dependent Equations

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 5x

20x - 4y = 0

Step 2: Solve for x

Substitution

Here we see 0 does indeed equal 0.

∴ our systems has an infinite amount of solutions.

Answer:

0

Step-by-step explanation:

y = 5x

substitute the value of y in equation

multiply to get 20x

collect like terms

we can see here that 0 indeed equal 0.

so, system has an infinite solutions.

Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

= 5 x 1.8

= 9

f=3s

f = the amount of flour

Hope this helps! :)

Answer:

The probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

Step-by-step explanation:

We are given that

Average wage, [tex]\mu=[/tex]$9.00/hour

Standard deviation,[tex]\sigma=[/tex]$0.50

n=64

We have to find the  probability of obtaining a sample mean less than or equal to $8.85 per hour.

[tex]P(\bar{x} \leq 8.85)=P(Z\leq \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}})[/tex]

Using the values

[tex]P(\bar{x}\leq 8.85)=P(Z\leq \frac{8.85-9}{\frac{0.50}{\sqrt{64}}})[/tex]

[tex]P(\bar{x}\leq 8.85)=P(Z\leq \frac{-0.15}{\frac{0.50}{8}})[/tex]

[tex]P(\bar{x}\leq 8.85)=P(Z\leq -2.4)[/tex]

[tex]P(\bar{x}\leq 8.85)=0.0082[/tex]

Hence, the probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

Answer:

[tex]\frac{4}{15}[/tex] of a gallon per bottle

Step-by-step explanation:

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex] / 3 = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{15}[/tex]

Answer:

C. (5,1)

Step-by-step explanation:

10x+5y=55 equation 1

y-2x=-9 equation 2

y=-9+2x isolate y in equation 2

10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1

10x-45+10x=55

20x=100

x=5

solve for y by using x value (5) in either equation

y-2x=-9

y-2(5)=-9

y-10=-9

y=1

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

9514 1404 393

Answer:

Step-by-step explanation:

An angle can be found using the Law of Cosines.

  c² = a² +b² -2ab·cos(C)

  C = arccos((a² +b² -c²)/(2ab)) = arccos((16² +30² -35²)/(2·16·30))

  C = arccos(-69/960) ≈ 94.1217°

Then another angle can be found using the Law of Sines:

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ 57.7516°

The third angle can be found from the sum of angles of a triangle.

  A = 180° -94.1217° -58.7516° = 27.1267°

The angles of the triangle are about (A, B, C) = (27.1°, 57.8°, 94.1°).

Answer:

-2

Step-by-step explanation:

Slope formula for any given two points

(y2 - y1 / x2 - x1)

The points chosen may vary but the points I chose were (0,1) and (2,-3)

Our next step is to identify the variables

y2 = -3

y1 = 1

x2 = 2

x1 = 0

We then plug in the values into the slope formula

slope = ( -3 - 1 ) / ( 2 - 0 )

Simply

Slope = -4 / 2

Simply even further

Slope = -2

the slope of each line is -2.

Answer:

Solution Given:

let's find out the given points.

1st point[tex] (x_1,y_1)=(0,1)[/tex]

another point is:

[tex](x_2,y_2)=(2,-3)[/tex]

now

By using slope formula

[tex] \green{\boxed{m=\frac{y_2-y_1}{x_2-x_1}}}[/tex]

now

substituting value

we get

m=[tex]\frac{-3-1}{2-0}=\frac{-4}{2}=-2[/tex]

Answer:

1.019 is the answer

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Answer:

U'/U

Step-by-step explanation:

Answer:

197 in^2

Step-by-step explanation:

Add the areas of each face:

2 trapezoid faces:

(5+9) ÷ 2 x 5 = 35

2(35) = 70 in^2

2 squares:

5 x 5 = 25

2(25) = 50 in^2

Rectangular base:

5 x 9 = 45 in^2

Area of slanted rectangle:

6.4 x 5 = 32 in^2

Add:

32 + 45 + 50 + 70 = 197

Answer:

f(-2) = g(-2) this is the answer

Answer:

SAS

Step-by-step explanation:

AC ≅ EC (Given), ∠ACB ≅∠ECD ( Vertical Angles), and BC ≅ DC

Answer:

82.31

Step-by-step explanation:

I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

Answer:

zinc is 20grams

Step-by-step explanation:

Given data

Ratio copper :zinc = 3:2

Copper =30 grams

Applying the ratio

3/2=30/x

Cross multiply

3x=30*2

3x=60

Divide both sides by 3

x=60/3

x=20

Hence zinc is 20grams

Answer:

8.) 8,780 toffees can be stored in 122 such bags.

9.) 2,460 people are required to control the working of 88 such stations.

Step-by-step explanation:

QUESTION 8:

We know that there are 72 toffees per bag

So if we want to know how many toffees can be stored in 122 such bags:

72 x 122 = 8,784

ROUND IT TO THE NEAREST TENS:

Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.

So 8,784 rounded to tens is 8,780

Tye answer for question 9 is

2,460 (do the same thing)