42.
-2 ≤ d + 1/2 < 4 1/2 (-1/2)
<u>-2 1/2 </u><u>≤ d </u><span><u>≤ 4</u>
44.</span>
2t ≤ -4 or 7t ≥ 49
2t <span>≤ -4 </span> (/2)
<u>t </u><u>≤ -2</u>
7t ≥ 49 (/7)
<u>t ≥ 7</u>
46.
-1 ≤ a - 3 ≤ 2 (+3)
<u>2 ≤ a ≤ 5</u>
The key to solving these types of questions is to think to yourself - what do I need to do to get the variable on its own? Then, apply this action to every part of the inequality separated by inequality signs. When you get two separate inequalities describing the value of the variable, just think about them separately and apply the same logic.
All you have to do for the last question (48.) is turn the question into an inequality. Calling the temperature <span>t</span>:
65 ≤ t ≤ 88
Notice the use of greater-than-or-equal symbols - this is because 65 and 88 were recorded temperatures, so are included in the range of values for <em>t</em>
I hope this helps
Answer:$1.20
Step-by-step explanation: Find 4% of 30
I am using a calculator, but you can get the same result if you multiply .04 and 30
You should get 1.2 or $1.20
Answer:
Null Hypothesis:
![H_{o}: \mu = 0.5](https://tex.z-dn.net/?f=H_%7Bo%7D%3A%20%5Cmu%20%3D%200.5)
Alternate Hypothesis:
![H_{a}: \mu < 0.5](https://tex.z-dn.net/?f=H_%7Ba%7D%3A%20%5Cmu%20%3C%200.5)
Step-by-step explanation:
The claim made by the company should be that: Using the company's product will slow down the facial growth. According to the study, the average man's facial hair grows a half an inch per month. So, the claim of the company will be that using its product the average growth will be less than half an inch. Since, the claim contains the word "less than", it will be the alternate hypothesis.
The Null hypothesis, therefore, would be: The average growth is half an inch per month.
Let u represents the growth of facial hair growth per month. The Null and Alternate Hypothesis in symbolic forms would be:
Null Hypothesis:
![H_{o}: \mu = 0.5](https://tex.z-dn.net/?f=H_%7Bo%7D%3A%20%5Cmu%20%3D%200.5)
Alternate Hypothesis:
![H_{a}: \mu < 0.5](https://tex.z-dn.net/?f=H_%7Ba%7D%3A%20%5Cmu%20%3C%200.5)
Answer:
324 units
Step-by-step explanation:
First find the measurements of the square.
24 ÷ 4 = 6
Each side of the square is 6 units.
Now scale by 3
6 × 3 = 18
Each side of the square is now 18 units
Find the area:
18 × 18 = 324
Answer:
x = uk - y/x
Step-by-step explanation:
2uk = 2x + 2y/x
uk = x + y/x
X = uk - y/x