Help please on linear math

Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

Answer:

x=80

Step-by-step explanation:

Answer:

To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.

7a - 11b - (2a + b + a - 9b)

= 7a - 11b - (3a - 8b)

= 7a - 3a - 11b + 8b

= 4a - 3b

Answer:

2m/s south

Step-by-step explanation:

p = mv

Where p is the momentum, m is the mass, while v is the velocity.

Given that

m = 25kg

v = ?

p = 50kgm/s

Substituting the values into the formula.

50kgm/s = 25×v

50kgm/s = 25v

Divide both sides by 25

v = 50/25

v = 2m/s

From the option list, the answer is

2m/s south

Answer:

5/2

Step-by-step explanation:

When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.

Step 1: Move negative exponents

[tex]\frac{2^25^6}{2^35^35^2}[/tex]

Step 2: Combine exponents

[tex]\frac{2^25^6}{2^35^5}[/tex]

Step 3: Remove like terms

[tex]\frac{5^1}{2^1}[/tex]

Step 4: Exponent

5/2

Answer:  125 miles

if you do the math you will get the same answer.

Answer:

800 miles

Step-by-step explanation:

Answer:

Factor GCF: 3x(2x⁴ - 5x + 4)

Step-by-step explanation:

Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.

Answer:

by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.

Step-by-step explanation:

Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

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Answer:

They are congruent

Step-by-step explanation:

Answer:

Original number is 52.

Step-by-step explanation:

1) Two digit number xy,

it can be written as 10x + y.

2) The sum of the digits of a two-digit number is 7.

x + y = 7

3) The digits are interchanged the reversed number is yx,

the new number can be written as 10y + x.

4)  The original number is 10x + y, so the tens digit of the original number  is x.

5) Five times the tens digit of the original number is 5*x.

6) The reversed number is five times the tens digit of the original number:

10y + x = 5*x

7) We have system of two equations

x + y = 7  ---->  x = 7 - y

10y + x = 5*x --->   10y - 4x = 0

10y - 4x = 0

10y - 4(7 - y) =0

10y - 28 + 4y = 0

14y = 28

y = 2

x = 7 - y = 7 - 2 = 5

x = 5

Original number is 52.

New number 25.

Check:

Original number is 52, the tens digit is 5.

The reversed number (25) is five times the tens digit of the original number find the original number .

25 = 5*5 True

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Respuesta: 19; 19,89

B) 19 C) No

Explicación paso a paso:

Dados los datos:

15, 25, 17, 19, 16, 26, 18, 19, 24

Reorganizando los datos:

15, 16, 17, 18, 19, 19, 24, 25, 26

Mediana de los datos:

(N + 1) / 2

Donde N = número de observaciones

Mediana = (9 +1) / 2 = 10/2 = 5 a observación = 19.

Media = suma de valores observados / número de observaciones

Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26) / 9

Media = 179/9 = 19.89

B) mediana si se agrega otro niño que pese 43 kg

Los nuevos datos se convierten en:

15, 16, 17, 18, 19, 19, 24, 25, 26, 43

Mediana = (N + 1) / 2

Mediana = (10 + 1) / 2 = 11/2 = 5.5 Como tenemos un decimal:

La mediana será el promedio de la quinta y sexta observación: (19 +19) / 2 = 38/2 = 19

C) No, la media aritmética no parece ser un buen representante de la observación de 10 datos con el valor de peso recién agregado de 43 kg, ya que el valor parece considerablemente más alto que el conjunto de los 9 valores anteriores. Con el peso recién agregado, la media aritmética se convierte en: Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26 + 43) / 10 Media = 222/10 = 22.2

Answer: 69.6 m

Step-by-step explanation:

Sin 55 deg = opposite side/hypotenuse

0.819 = height/string length

0.819 * 85= height

height = 69.6 m

Answer:

80cm^2

Step-by-step explanation:

Answer:

80 ft^2

Step-by-step explanation:

To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2

The answer is for this question is c

2(3x+2)+2(2x-1)

=10x+2

This is a polynomial

So the answer is c

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]

Answer: 16

Step-by-step explanation:

The important thing to remember here is the Order of Operations

The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.

There are no parentheses.

Exponents: 3 - 4+4*3+5

Multiplication and Division: 3 - 4 + 12 + 5

Addition and Subtraction:

-1+12+5

11+5

16

Hope it helps <3

Answer:

Step-by-step explanation:

If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation

[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex).  Here's what we have then thus far:

h = 0

k = 0

a = 11

b = 4

Filling in our equation then looks like this:

[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:

[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).

The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.

Important information:

The standard form of an ellipse is:

[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]

Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.

Substitute [tex]a=11,b=4[/tex] in the above equation.

[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]

[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]

[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]

Therefore, the correct option is D.

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Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

Answer:

perimeter=[tex]2(l+b)[/tex]

2(3b+5+2b-1)=

2(5b+4)=0

5b+4=o

b=-4/5

but be can't be -ve

therefore,b=4/5 or 0.8

Answer:

6) The perimeter of the triangle is 3(3x - 1)

7) The perimeter of the rectangle is 2(5b + 4)

Step-by-step explanation:

The perimeter of a triangle and a rectangle is found by adding up all the sides.

6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)

7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)

Answer:

(6x – y) * (2x – y + 2) =12x2 – 8xy + 12x + y2 – 2y

Step-by-step explanation:

(6x – y) * (2x – y + 2)

= 6x*(2x – y + 2) - y*(2x – y + 2)

= 12x^2 - 6xy + 12x  - 2xy + y^2 -2y

= 12x^2 + 12x - 8xy - 2y + y^2

Out of the answer choices:

8x2 – 4xy + 12x + y2 – 2y

12x2 – 8xy + 12x + y2 – 2y

8x2 + 4xy + 4x + y2 – 2y

12x2 + 8xy + 4x + y2 + 2y

the second choice is a correct answer.

Answer:

Step-by-step explanation:

B. 12x2 – 8xy + 12x + y2 – 2y

Answer:

[tex]t = 2.86 \: s[/tex]

The ball remains in the air for 2.86 seconds.

Step-by-step explanation:

A baseball is hit into the air, and its height above the ground is described by the function

[tex]H(t) = -16t^2 + 45t + 2[/tex]

Where H(t) represents the height of the ball t seconds after it is hit.

The ball remains in the air before it hits the ground.

When the ball hits the ground,

[tex]H(t) = 0[/tex]

So,

[tex]0 = -16t^2 + 45t + 2[/tex]

The equation may be solved using the quadratic formula.

[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Where

[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]

So,

[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]

Since the time cannot be negative, discard the negative value and accept the positive value

[tex]t = 2.86 \: s[/tex]

Therefore, the ball remains in the air for 2.86 seconds.

Answer:

A

Step-by-step explanation:

it is A for for two outgoing (y)there is one in going(x)

Answer:

The answer is (A)

Step-by-step explanation:

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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Answer:

R0,180(x,y)->(-x,-y)

Step-by-step explanation:

R0,180(x,y)->(-x,-y)

We note that

X(-2,2) has been transformed to X'(2,-2), and

Y(1,2) has been transformed to Y'(-1.-2)

[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex] are the choice that's description can be defined as follows:

Therefore, the final choice are "[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex]".

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Answer:

Jane will run more than 30 miles this week, as thus far she ran 22.    

Step-by-step explanation:

X + 22>30

         X>8

She runs more than 8 miles.

Answer:

Well, it depends.

Step-by-step explanation:

In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.

There are  number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.

So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31

Answer: 50

Step-by-step explanation:

I am rounding it to 1 significant figure.

9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)

5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)

So it now is 10 x 5 = 50

Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Given product is 9.8 * 5.2

Now we are rounding it to 1 significant figure.

Round up when the last digit is 5, 6, 7, 8 or 9

9.8 = 10

Round down when the last digit end with 0, 2, 3 or 4

5.2 = 5

So, 10 x 5 = 50

Thus, option B is correct.

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Answer:

a) 896 ways

c) 910 ways

Step-by-step explanation:

The question is a combination problem since it has to do with selection. In combination, if r object is selected from a pool of n objects, this can be done in nCr ways.

nCr = n!/(n-r)!r!

If from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed, we need to first calculate the total committee formed without any condition.

8C3 × 6C3

= 8!/5!3! × 6!/3!3!

= 8×7×6×5!/5!×6 × 6×5×4×3!/3!×6

= 56×20

= 1120ways

Now if;

a) two of the men refuse to serve together.

Since two men refuse to serve together, we will select 1 man from remaining 4 men since two has already been selected then select 3 from 8 women as shown.

4C1×8C3

= 4×56

= 224ways

Number of ways this can be done will be 1120-224 = 896ways

b) 1 man and 1 woman refuse to serve together

We need to choose 2 men from remaining 5 and 2 women from the rest of the men which is 7 as shown:

= (8-1)C(3-1) × (6-1)C(3-1)

= 7C2 × 5C2

= 7!/5!2! × 5!/3!2!

= 7×6×5!/5!×2 × 5×4×3!/3!×2

= 21×10

= 210ways

The number of ways this can be done will be 1120-210 = 910ways

Answer:

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

Step-by-step explanation:

We are given the term:

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]

We have to fill in to the empty spaces such that the above equation gets satisfied.

First of all, let us simplify the LHS (Left Hand Side):

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]

Now, let us equate the LHS and  RHS (Right Hand Side):

[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]

Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:

One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]

Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

So, if we fill the boxes with above values, the expression will be simplified as given.

Answer:

The correct answer is B. Positive 6 x squared and Negative 10 y squared

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

you can put the function in your graphing calculator & the x-intercept is where the line crosses threw the line that goes left & right vise versa for the y-intercept.