16 times 4 equals to 64. 64 is simply 4 sets of 16 added together.
Other factors of 64 include, 1,2,4,8,16,32, and 64.
Answer:
57.4g
Step-by-step explanation:
32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?
From the above questions, we know that:
4 cakes = 32.8g
7 cakes = x g
Cross Multiply
4 × xg = 7 × 32.8g
x = 7 × 32.8g/4
x = 57.4 g
Therefore, 57.4g is needed for 7 cakes
Answer:
Step-by-step explanation:
- (x+y-z)²= 4xy
- (x+y-z)²- 4xy = 0
- (x+y-z)²-(2√x√y)² = 0
- (x+y-z-2√x√y)(x+y-z+2√x√y) =0
- [(√x-√y)²-z]*[(√x+√y)²-z]=0
- (√x-√y)²-z = 0 or (√x+√y)²-z = 0
We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²
so (x+y-z)²= 4xy
Answer:
![\boxed{y=4x^3-x^2-50x+25}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x%5E3-x%5E2-50x%2B25%7D)
Step-by-step explanation:
The given function is
![y=(x-5)(x+5)(2x-1)](https://tex.z-dn.net/?f=y%3D%28x-5%29%28x%2B5%29%282x-1%29)
Observe that, the first two factors are from difference of two squares.
![\Rightarrow y=(x^2-5^2)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-5%5E2%29%282x-1%29)
![\Rightarrow y=(x^2-25)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-25%29%282x-1%29)
We expand the brackets using the distributive property to obtain;
![\Rightarrow y=2x^2(2x-1)-25(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2x%5E2%282x-1%29-25%282x-1%29)
![\Rightarrow y=4x^3-x^2-50x+25](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D4x%5E3-x%5E2-50x%2B25)
The above function is now in standard form, since the terms are arranged in descending powers of
.
Answer:
(√2)/2
Step-by-step explanation:
The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.
The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.
Scaling up our unit square to one with a side length of 3 inches, we have ...
radius/side = ((3√2)/2) / 3 = (√2)/2
_____
A square with a side length of 3 inches will have an area of (3 in)² = 9 in².