Which expression is not equivalent to 4^3/4^6 ?(1 point) Responses 164 1 over 64 142 the fraction with numerator 1 and denominator 4 squared 4−3 4 to the negative 3 power 143
the fraction with numerator 1 and denominator 4 squared
A popular amusement park has had 199,792,458 visitors since it opened. Which number, written in scientific notation, is the best approximation of the number of visitors?(1 point)
Responses
0.2×108
visitors
0 point 2 times 10 to the 8th power visitors
2.0×108
visitors
2 point 0 times 10 to the 8th power visitors
0.2×107
visitors
0 point 2 times 10 to the 7th power visitors
2.0×107
visitors
2.0×108 visitors
A system of equations is shown below. Which statement about the ordered pair (-7, -3) is true?
3x+3y=−30
2x+y=−17
(1 point)
Responses
It is a solution to the first, but not the second equation.
It is a solution to the first, but not the second equation.
It is one of many solutions to the system.
It is one of many solutions to the system.
It is not a solution to either equation.
It is not a solution to either equation.
It is the only solution to the system.
It is one of many solutions to the system.
Triangle P is similar to triangle Q. Triangle P has two angles with measures of 41°
and 82°
. Which two angle measures could be included in triangle Q?(1 point)
Responses
41° and 74°
41° and 74°
82° and 98°
82° and 98°
82° and 57°
82° and 57°
41° and 58°
41° and 74°
are you sure? how did you get the answer
My apologies for the error in my previous response. Let's go through the explanation again.
Given that Triangle P has angles of 41° and 82°, these two angles can be correspondingly compared to the angles of Triangle Q. In similar triangles, corresponding angles are equal.
If one angle of Triangle P is 41°, a corresponding angle in Triangle Q should also be 41°.
If the other angle in Triangle P is 82°, the other corresponding angle in Triangle Q would be 82° as well.
Therefore, the angles that could be included in Triangle Q would be 41° and 82°.
So, the correct answer is: 41° and 82°.
Thank you for your patience and pointing out the error.
A company sells various sized jewelry boxes that are in the shape of cubes. Which volume of cubes has rational number side lengths?(1 point)
Responses
33 cm3
33 cm cubed
1.5 ft3
1.5 ft cubed
8 in3
8 in cubed
3 yd3