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You can type factor(90) in the calculator on the home page here.

This is not so hard

the big hand points to the 8 and the little hand has passed the 9 and is 2 thirds of the way to the 10.

There is 12 hours and 360 degrees on the clockface so there is  360/12 =30 degrees between each number.

Now you can work out the rest.  Draw a diagram.

This answer is correct!!!

[PAB]/[QAB] = 4/3

Just use a program to find it.

C++ source code: (G++ compiler, C++14)

#include
using namespace std;
int main(){
    int a = 0b1011110, b = 0b0100001;
    printf("Bitwise OR: %x\nBitwise AND: %x\nBitwise XOR: %x", a|b, a&b, a^b);
}

Output:

Bitwise OR: 7f
Bitwise AND: 0
Bitwise XOR: 7f

You may notice the output is in base 16. But converting base 16 to base 2 is easy.

Bitwise OR of the two numbers gives 1111111

Bitwise AND gives 0000000

Bitwise XOR gives 1111111

Thanks Max,

I can never remember the formula so here is my method

I look at the x's and y's separately

x's

10-1=9

9/6=1.5

1+1.5=2.5

y's

1--5=6

6/6=1

-5+1=-4

(2,5,-4)

Definition of a probability density function: 

If f(x) is a probability density function, then $\displaystyle \int^6_0 f(x)\,dx = 1$.

This means for the probability density function in the question, $\displaystyle \int^6_0 Ax(6 - x)\,dx = 1$.

Now, notice that $\displaystyle \int^6_0 x(6- x)\,dx = 36$.

Therefore A = 1/36.

For part B, sketching a quadratic function should be easy.

For part C, just find $\displaystyle \int^6_4 f(x)\,dx$.

For part D, let W be the weight of a random jar. We can find $\mathbb E(W) = \displaystyle \int^6_0 xf(x)\,dx$ and $\mathbb E(W^2) = \displaystyle \int^6_0 x^2f(x)\,dx$ and​ then use the formula $\operatorname{Var}(W) = \mathbb E(W^2) - \left(E(W)\right)^2$

You should know how the standard deviation and the variance are related.

$\dfrac{(3x - 2)^\circ - (x + 6)^\circ}{2} = 34^\circ\\ x - 4 = 34\\ \boxed{x = 38}$

Let $x be the cost of an apple,$y be the cost of orange juice.

$\begin{cases}3x + y = 1.35\\x + 2y = 1.2\end{cases}\\ \begin{cases}6x + 2y = 2.7\\x + 2y = 1.2\end{cases}\\ 5x = (6x + 2y) - (x + 2y) = 2.7 - 1.2 = 1.5\\ x = 0.3\\ 0.3 + 2y = 1.2\\ y = 0.45$

$y = \dfrac{5(x + 4)(x + 5)}{(x - 2)(x - 5)}$

Using the section formula directly,

The required point is $\left(\dfrac{5(1) + 1(10)}{5 + 1}, \dfrac{5(-5) + 1(1)}{5 + 1}\right) = \left(\dfrac{5}{2}, -4\right)$

The x-intercepts are at (1, 0) and (5, 0). This means the roots of the quadratic function are 1 and 5.

We can be sure that the quadratic function is of the form $f(x) = C (x - 1)(x - 5)$ where C is a constant.

We can substitute the point (x, f(x)) = (0, 7) into the equation to find C.

7 = C (-1)(-5)

C = 7/5.

Therefore $f(x) = \dfrac 75 (x - 1)(x - 5)$

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Incorrect, because the ORDER of the balls matter, and the boxes. Also, you can have more than one ball per box....

thx, anyway! :D <3

The prime factorization of 90 is 3 * 3 * 5 * 2 = 90

That is really weird, I have never seen anything like that before.

I have no idea how to fix it.

Sorry.

Wait, but what is the answer? Is it 9, or 90?

If you cut it like this, you get 16 pieces.

Answer

= (1 + 2 + 3 + ... + 99) - (2 + 4 + 6 + 8 + 10 + ... + 98) - (5 + 10 + 15 + 20 + ... + 95) + (10 + 20 + ... + 90)

= 4950 - 2450 - 950 + 450

= 2000

Oh yes. you're right. I was careless.

Total weight = 60 pounds.

Let W pounds be the weight of black licorice bits in the mixture.

Then the weight of orange gumdrops will be (60 - W) pounds.

Considering the price,

1.9W + 2.2(60 - W) = 2 * 60

132 - 0.3W = 120

0.3W = 12

W = 12/0.3 = 40

40 pounds of black licorice bits and 20 pounds of orange gumdrops should be used.

  Well...yah....often true....but the unit is given as feet if you look at the equation and know the initial v is 90 ft/sec......