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Hunter-Best [27]
2 years ago
9

What coordinates will a point (x, y) reflected over the line y = x have?

Mathematics
1 answer:
neonofarm [45]2 years ago
4 0
It will have x and y switched

so (x,y) will become (y,x)
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Tell whether the statement is always, sometimes, or never true. The LCM of two different prime numbers is their product.
Blizzard [7]

Answer:

Step-by-step explanation:The LCM of two or more prime numbers is equal to their product. ... Assume two prime numbers as two different variables and find their LCM using prime factorization of both the numbers.

3 0
2 years ago
In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
In the triangle below,
Evgen [1.6K]

Answer:

x=8.6

Step-by-step explanation:

x=8.6

5 0
2 years ago
Which of the following methods of timekeeping is the least precise?
Westkost [7]
It’s c counting your heartbeats
8 0
3 years ago
Eric drew a scale drawing of a country park. The scale he used was 1 inch = 2.5 yards. The picnic area is 80 yards wide in real
Alchen [17]
If 1 inch = 2.5 yards then
x inch = 80 yards
cross multiplying we have:
80 × 1 = x × 2.5
x = 80÷ 2.5 = 32 inches
therefore the picnic area is 32 inches in the drawing.
5 0
3 years ago
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