Once upon a time, on an island in the middle of an ocean, several tribes lived and fought with each other. A time came when all the tribes agreed to everlasting peace. So, they decided to build a giant monument to celebrate this Peace Treaty. The monument required a certain number of logs, and the tribes had to agree on the number of logs that each tribe was to provide. Had there been two fewer tribes on the island, this number of logs would have been 6. Had there been one more tribe on the island, this number would have been 5. Unfortunately, the tribes could not agree on what number of logs would be fair for the actual number of tribes. So the tribes announced an eternal war - and were not heard from ever again. How many tribes were on the island?

Answer:

z= 2√2

x=2

y=2√2

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7

Answer:

a)  constant of proportionality is 3/5

b)  3.5cm per 1 minute

c)  21 cm water in trough after 6 min

d)  70 cm

Step-by-step explanation:

d)  21 / 6 = x / 20

    7 / 3 = x / 20    

    2x = 140

    x = 70

Answer:

4y+29

Step-by-step explanation:

Collect like terms

3y + y = 4y

5 + 24 = 29

4y+29

Answer:

6 3/11

Step-by-step explanation:

Subtract the whole numbers: 10 - 4 = 6

Subtract the fractions: 5/11 - 2/11 = 3/11

10 5/11 - 4 2/11 = 6 3/11

Answer:

I can help

Step-by-step explanation:

Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

Step-by-step explanation:

That is an example of an increasing interval.

Answer:

a

Step-by-step explanation:

Answer:

5.714 (rounded to the nearest thousandth)

Step-by-step explanation:

Answer:

B. 5=5

Step-by-step explanation:

Answer:

m=E/c².

Step-by-step explanation:

Transposing the formula

E=mc²

we divide both sides by c² then cancel out where necessary so m would stand alone

E/c²=mc²/c²

cancelling c² on the right hand side, equation becomes

m= E/c²

Answer:

(7z-3)(z-5)

Step-by-step explanation:

7z^2-38z+15

(7z-3)(z-5)

Answer:

(z - 5)(7z - 3)

Step-by-step explanation:

Given

7z² - 38z + 15

Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term

product = 7 × 15 = 105 and sum = - 38

The factors are - 35 and - 3

Use these factors to split the z- term

7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )

= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term

= (z - 5)(7z - 3) ← in factored form

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

Answer:

2k+5

Step-by-step explanation:

Answer:

B) 4

Step-by-step explanation:

Use the slope formula:

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

Let:

[tex](x_1 , y_1) = (1 , -2)\\(x_2 , y_2) = (2 , 2)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope:

[tex]m = \frac{2 - (-2)}{2 - 1} \\m = \frac{2 + 2}{2 - 1}\\m = \frac{4}{1} = 4[/tex]

B) 4 is your answer.

~

Answer:

Step-by-step explanation:

For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.

OR

1. We know that, 'Translation shifts the figure in any direction'.

As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).

Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.

2 and 3. We know that, ' Reflection flips the image over a line'.

As the function g(x) is reflected over y-axis, the new form of the function is g(-x).

As the function h(x) is reflected over x-axis, the new form of the function is -h(x).

4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.

Let us assume the function to be a point (x,y).

As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R

90

(x,y) = ( -y,x ).

As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R

180

(x,y) = ( -x,-y ).

As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R

270

(x,

Answer:

Remember that the gradient is equivalent o the derivative evaluated in one point.

And remember that if we have a function like:

f(x)  a*x^n

The derivative is:

f'(x) = n*a*x^(n - 1)

Then knowing this, let's start:

a) y = x^2

the derivative is:

y' = 2*x

And we want to evaluate this in the point (3, 9), then we just need to replace x by 3.

y'(3) = 2*3 = 6

The gradient of y = x^2 at (3, 9) is 6.

b) y = -4*x^3

The derivative is:

y' = 3*(-4*x^2) = -12*x^2

And we want to evaluate this on (1, -4), then we need to replace x by 1.

y'(1) = -12*1^2 = -12

The gradient of y = -4*x^3 at (1, -4) is -12.

c) y = 2*x^4

The derivative is:

y' = 4*2*(x^3) = 8*x^3

And we want to evaluate this on (-1, 2), then we need to replace x by -1.

y'(-1) = 8*(-1)^3 = -8

The gradient of y = 2*x^4 at the point (-1, 2) is -8

d) y = 6*x

The derivative is:

y' = 6

We can see that here we do not have any dependence on x, so the gradient will be the same for all values of x, this means that the gradient at the point (2, 12) is 6.

Anno one came answer that without numbers

Step-by-step explanation:

Answer:

Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B

Step-by-step explanation:

Answer:

12750 is the answer... god bless

Answer:

w= - 5/3 + 1/120y, y eR

Step-by-step explanation:

y=120w + 200

Move the terms

-120w=200-y

Divide both sides

w= - 5/3 + 1/120y

Write in parametric form

w= - 5/3 + 1/120y, y eR

Answer:

(0,0)

Step-by-step explanation:

Answer:

o,o

Step-by-step explanation:

trust me

Answer:

79

Step-by-step explanation:

3=1

4=2

3=101

1=101

2 and 4=180-101=79

Answer:

8/9

Step-by-step explanation:

I'm pretty sure after you make it a reciprocal you multiply it

Answer:

$2200

Step-by-step explanation:

Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.

Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have

20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.

Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery

Answer:

From the first bag the probability is 5 out of 15 or 1/3 simplified

The second bags probability is 4 out of 9

All the bags combined the probability is 9 out of 24

Step-by-step explanation:

The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator

With everything said all you have to do is figure out the two steps an you’re good to go