Answer:What is the magnitude of 3i?
3i invested c.
Step-by-step explanation: $182m in Magnitude Software in 2019 to accelerate its global growth ambitions through new product development and investments in sales & marketing, and to build a more integrated enterprise software business.
Answer:
See below
Step-by-step explanation:
<h3>Given function </h3>
<u>Another notation for same function is</u>
- y = 5x - 7, where 5 is the slope and -7 is the y-intercept
<h3>Questions
</h3>
<u>1. Is the function increasing or decreasing?
</u>
- Increasing as x has positive slope
<u>2. What is the y-intercept?
</u>
<u>3. What is the slope?
</u>
<u>4. What is f(-2)?
</u>
- f(-2) = 5(-2) - 7 = - 10 - 7 = -17
<u>5. If f(x) = 0, what is x?</u>
- f(x) = 0
- 0 = 5x - 7
- 5x = 7
- x = 7/5
- x = 1.4
The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound
<h3>Data obtained from the question</h3>
From the question given above, the following data were obtained:
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Work done (Wd) =?
<h3>How to determine the spring constant</h3>
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Spring constant (K) =?
F = Ke
Divide both sides by e
K = F/ e
K = 3 / 0.6
K = 5 pound/foot
Thus, the spring constant of the spring is 5 pound/foot
<h3>How to determine the work done</h3>
- Spring constant (K) = 5 pound/foot
- Extention (e) = 0.7 feet
- Work done (Wd) =?
Wd = ½Ke²
Wd = ½ × 5 × 0.7²
Wd = 2.5 × 0.49
Wd = 1.23 foot-pound
Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound
Learn more about spring constant:
brainly.com/question/9199238
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The answer is 6.75 or 27/4
Answer:
320 cubic feet
Step-by-step explanation:
The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.
4 × (80 ft³) = 320 ft³
The new volume of the pyramid is 320 cubic feet.
