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Deffense [45]
3 years ago
10

Which equation shows y=34x−52 in standard form?

Mathematics
1 answer:
Dafna1 [17]3 years ago
6 0
The answer would be a 3x-4y=-10
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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
Solve f(x)= x2 when x = 5.
ira [324]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The ratio of the circumferences of two circles 2 : 5. Find the ratio of their areas
ratelena [41]
Circumference one = (2R)*pi let that value be 2x
C second = 5x = (2R)*pi * 5 / 2 = (5R)*pi
So Radius one / Radius two = 2 / 5
Area1:Area2=pi(2R)^2:pi(5R)^2=pi(4R^2):pi(25R^2), pi cancel out we get
4R^2:25R^2, now R^2 cancel out and we get ratio of
4:25
5 0
3 years ago
Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what
Ksju [112]
y=mx+b \\ \\&#10;(x,y)=(-4,-5) \hbox{ and } (x,y)=(-6,3) \\ \Downarrow \\&#10;-5=-4m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \times (-3) \\&#10;3=-6m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times 2 \\ \\&#10;15=12m-3b \\&#10;\underline{6=-12m+2b} \\&#10;21=-b \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\times (-1) \\&#10;\boxed{b=-21}

The value of b is -21.
4 0
3 years ago
Read 2 more answers
How do I solve 1/2z=9 1/4?
Nastasia [14]

Answer:

z = 9/2

Step-by-step explanation:

1/2z = 9 1/4?

z = 9/2

Explanation:

Simplify

9 x 1/4 → 9/4

Multiply 2 to both sides to cancel out the 2

1z = 9/4

Note: 1z is just z

6 0
3 years ago
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