The perpendicular line to x-6y=2, and passing through (2, 4) is y=-6x+16
Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Step-by-step explanation:
पति ऑफिस से घर आया... और खाना खाने बैठा
खाते-खाते उसने अपनी पत्नी से कहा कि
"खाना ठीक नहीं है, कोई टेस्ट नहीं आ रहा है।"
पत्नी चुपचाप उठी, और उसने कॉरपोरेशन मेंं कॉल किया और एम्बुलेंस को बुला ली
और कहा..
"इन्हे टेस्ट नहीं आ रहा है.."
एम्बुलेंस पति को ले गयी और उसे क्वॉरंटाइन कर दिया
अस्पताल में पत्नी ने पति को फोन किया और पूछा: अब आया स्वाद??
यहाँ तक की कहानी सबने सुनी होगी। अब देखिये कहानी में नया मोड़:
⬇️
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.
.
.
.
.
.
.
उधर पति को पूछा गया कि
"आपके संपर्क में कौन-कौन आया था ?"
पति ने बड़ी ही शांति से कहा..
- मेरी पत्नी
- मेरा ससुर
- मेरी सास
- मेरा साला
- मेरी साली
बस अब ये सब भी अस्पताल के बिस्तर पर बैठे-बैठे पति को घूर रहे हैं!
Moral of the story is
बेजुबान को ज्यादा सताना भी ठीक
Answers:
- Exponential and increasing
- Exponential and decreasing
- Linear and decreasing
- Linear and increasing
- Exponential and increasing
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Explanation:
Problems 1, 2, and 5 are exponential functions of the form where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
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Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.