simplified form of (–3x y )(5xy )?
The simplified form of (–3xy)(5xy) is -15x^2y^2.
simplified form of –9m n × 2m n ?
The simplified form of –9mn × 2mn is -18m^2n^2.
A)
A rectangular pasture has a fence around the perimeter. The length of the fence is 16x and
the width is 48x . What is the area of the pasture?
(1 point)
7
4
3x
3
128x
11
768x
11
768x
28
The area of a rectangle is found by multiplying its length by its width. In this case, the length is given as 16x and the width is given as 48x.
Area = Length × Width
Area = (16x) × (48x)
Area = 768x^2
Therefore, the area of the pasture is 768x^2. So the correct answer is option 11.
A)
What is the simplified form of (3.25 × 10 )(7.8 × 10 ) written in scientific notation?
(1 point)
3 6
2.535 × 1010
2.535 × 1018
2.535 × 1019
25.35 × 109
To simplify the expression (3.25 × 10^6)(7.8 × 10^10) in scientific notation, you can multiply the coefficients and add the exponents.
(3.25 × 7.8) × (10^6 × 10^10) = 25.35 × 10^16
Since 25.35 is greater than or equal to 1 and less than 10, we can rewrite this in scientific notation:
2.535 × 10^17
Therefore, the simplified form is 2.535 × 10^17. So the correct answer is option 4.
A)
The size of a certain cell is 2.5 × 10 m. Another cell is 1.5 × 10 times larger. How large is
the larger cell in scientific notation?
(1 point)
–9 3
4 × 10–27m
4 × 10–12m
3.75 × 10 m
6
3.75 × 10–6m
To determine the size of the larger cell, we need to multiply the size of the smaller cell by 1.5 × 10.
(2.5 × 10) × (1.5 × 10^10) = 3.75 × 10^11
Since 3.75 is greater than or equal to 1 and less than 10, we can rewrite this in scientific notation:
3.75 × 10^11
Therefore, the larger cell is 3.75 × 10^11 in scientific notation. So the correct answer is option 6.