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oee [108]
3 years ago
13

The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

atic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
Since x represents the length (in meters), the width, which is 7 meters greater, is x +7. The product of these dimensions is the area (in square meters):
  x(x +7) = 170
In standard form, the quadratic is ...
  x² +7x -170 = 0
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There are 92 male nurses

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2 years ago
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Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2
leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 grams

7 0
3 years ago
Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawa
Phantasy [73]

Answer:

A=\$11,748.76

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=11\ years\\ P=\$5,500\\ r=6.9\%=6.9/100=0.069  

substitute in the formula above

A=5,500(e)^{0.069*11}  

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7 0
3 years ago
(5x-1)(x+1)-5+x-5+x<br><br> _____
AleksandrR [38]

Answer:

5x^2+x-6

Step-by-step explanation:

(5x-1)(x+1)-5x+x-5+x

(5x^2+5x-x-1)-5x+x-5+x

5x^2+x-6

4 0
2 years ago
1+4=5; 2+5=12; 3+6=21; 8+11=?
dybincka [34]
The pattern:
So it goes, 1, 2, 3, as the first number in each equation right.
Then it goes 4,5,6 as the second number in each equation.
<span>In other words, the first number + 3 = the second number
</span>
The sum or 3rd number is a zig zag pattern from the first and second numbers as shown below.
1 2 3 4 5 6   <span>7  </span>8   9 
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1 * 5 = 5, 2 * 6 = 12, 3 * 7 = 21 .... 8 * 12 = 96

<span>So the answer of </span><span>8+11=96</span>
3 0
3 years ago
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