please help ASAP: Factorise the following:

Answer:

24, 32, 64

Step-by-step explanation:

12x=6x+48

-6x  -6x

6x=48

x=8

8(3)=24

8(4)=32

8(8)=64

Answer:

24, 32, 64

Step-by-step explanation:

1st=3x

2nd=4x

3rd=8x

2(3x)+48=4x+8x

6x+48=12x

48=6x

x=8

SO:

1st =24

2nd= 32

3rd= 64

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:

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:

x=80

Step-by-step explanation:

Answer:

≈ 10.7 ft

Step-by-step explanation:

We have 2 secants to a circle from an external point.

The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

let the internal part of the right secant be x , then

6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )

6 + x ≈ 10.7 ( subtract 6 from both sides )

x ≈ 4.7

length of pass = 6 + 4.7 = 10.7

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:

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:

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:

If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:

M = (3/2)*S

L = (5/2)*S

L = M + S

First, we can convine the second and third equation and get:

(5/2)*S = M + S

and now we can replace M by the first equation:

(5/2)S = (3/2)*S + S = 5/2 S

so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.

For example, if S = 1Kg then:

M = (3/2)kg

L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg

Answer:

The equation for a small pizza is, 3/2s + s = 5/2s.

Next, to combine like terms the equation is, 5/2s = 5/2s.

After that, for opposite operations you write, 5/2s - 5/2s = 0.

When you combine the like terms for the last equation, you come up with,

0 = 0.

The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.

Step-by-step explanation:

cheese + sauce + dough + lots of meat + fire = happiness/pizza

(HopE ThIs HeLPs) ‍

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.

Find out more about 'Ellipse' here:

https://brainly.com/question/1548816

Answer:

stratified random sampling

Step-by-step explanation:

Answer:

y ≤ -1/5x +1

Step-by-step explanation:

The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by

y = -1/5x +1

The indicated area in graph is below the line, so now you have enough to get the right inequality:

y ≤ -1/5x +1

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:

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:  125 miles

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

Answer:

800 miles

Step-by-step explanation:

Answer:

Probability of blue or red = 3/10

Step-by-step explanation:

4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .

Total = 30

Probability of having a blue = 6/30

Probability of having a blue= 1/5

Probability of a red = 3/30

Probability of a red= 1/10

Probability of a blue or a red=

Probability of blue + probability of red

= 6/30 + 3/30

= 9/30

= 3/10

Answer:

y = -4

Step-by-step explanation:

5.1y = –0.3y – 21.6

5.1y + 0.3y = -21.6

5.4y = -21.6

y = -4

Answer:

y=  -4

Step-by-step explanation:

Solve this equation with a variable term on both sides.

5.1y = –0.3y – 21.6

What is the solution?

y =  -4

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:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

Answer:

61 seats.

Step-by-step explanation:

This is an example of an arithmetic sequence.

The formula for this is an = a + (n - 1)d

Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.

We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.

a19 = 25 + (19 - 1) * 2

a19 = 25 + 18 * 2

a19 = 25 + 36

a19 = 61

So, there are 61 seats in the 19th row.

Hope this helps!

Answer:

i think 61 i hope im right

Step-by-step explanation:

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:

4096

Step-by-step explanation:

used a calculator but u always do indicies first due to bidmas

Answer:

4096

Step-by-step explanation:

The little two on top of the 32 means squared or that we need to multiply 32 by itself.

So 32*32 equals 1024

Then we multiply it by 4 to give us 4096.

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:

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:

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:

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:

Step-by-step explanation:

g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x.  Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Step-by-step explanation:

Answer:

59.65

Step-by-step explanation:

2 decimal places is to the hundredths place.

Answer: 59.65

Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.

If the number to the right is 4 or less, leave the given place "as is"

In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65

Answer:

They are congruent

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.