Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.
Answer:
Option d)
Step-by-step explanation:
We are given the following in the question:
Three of four people believed that the state of the economy was the country's most significant concern.
They would like to test the new data against this prior belief.
The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.
The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.
We design the null and the alternate hypothesis
Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
Answer:
$26.91
Step-by-step explanation:
11.96 divided 4 = 2.99
2.99 x 9 = $26.91
