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hoa [83]
3 years ago
6

Rewrite the equation by completing the square 4x^2+20x+25=0 (x+__)^2=___

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

I got

x =  -  \frac{5}{2}

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a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6
ANTONII [103]

We can use population formula

P(t)=P_0(1+r)^{t}

we are given

interest rate is 1.5% per day

so,

r=0.015

now, we can plug values

P(t)=P_0(1+0.015)^{t}

P(t)=P_0(1.015)^{t}

we are given

P(t)=2Po

we can plug it

2P_0=P_0(1.015)^{t}

we can solve for t

2=(1.015)^{t}

t=46.55

so,

number of days is 46.5..........Answer


6 0
3 years ago
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Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e
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Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ;  P(F)=0.10 ; P(A ∩ F) = 0.07

We know that P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

Then,

P(A\cup F)=P(A)+P(F)-P(A\cap F)\\\\\Rightarrow\ P(A\cup F)=0.20+0.10-0.07=0.23

Hence, the required answer is P(A\cup F)=0.23

5 0
4 years ago
What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x + 5)?
dedylja [7]

Answer:

D) The graph of the line shifts horizontally left 5 units.

Adding a number, n, inside of the parenthesis with x would move the parent function n units to the left.




6 0
4 years ago
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Estimate how many 12-inch rulers will be about the same length as a sheet of paper.
Pani-rosa [81]
One or maybe a little less
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3 years ago
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Marco makes candles. He used 8 oz of beeswax per tablespoon of fragrance. He has 24 oz of beeswax how many tablespoons of fragra
KIM [24]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
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