Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?

Answer:

8.5+2.25x=34.5

edit***

18.25+3.25h=34.5

Answer: 16

Step-by-step explanation:

For a perfect square each factor is identical.

Now, we have to find a number that adds to get 8.

The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.

Now, we know that the missing number is 16.

Answer:

2(L+w) = 190ft (Perimeter)

L + W = 95ft (190 divided by 2)

L = W + 43ft (Given)

W + 43 + W = 95ft

2W + 43 = 95ft

2W = 52ft

W = 26ft

L = 26ft + 43 = 69ft

Answer: The feild is 69ft by 26ft

Hope this helps!!!

- Jarrett Lane

Answer:

The probability is 0.357

Step-by-step explanation:

Given that,

The system has at least one type of defect,

Suppose, A certain system can experience three different types of defects.

Let [tex]A_{i}[/tex] (i = 1,2,3) denote the event that the system has a defect of type i.

Suppose that the following probabilities are,

[tex]P(A_{1})=0.11[/tex]

[tex]P(A_{2})=0.08[/tex]

[tex]P(A_{3})=0.05[/tex]

[tex]P(A_{1}\cup A_{2})=0.13[/tex]

[tex]P(A_{1}\cup A_{3})=0.13[/tex]

[tex]P(A_{2}\cup A_{3})=0.11[/tex]

[tex]P(A_{1}\cap A_{2}\cap A_{3})=0.01[/tex]

[tex]P(A_{1}\cap A_{2})=0.06[/tex]

[tex]P(A_{1}\cap A_{3})=0.03[/tex]

[tex]P(A_{2}\cap A_{3})=0.02[/tex]

[tex]P(A_{1}\cup A_{2}\cup A_{3})=0.14[/tex]

We need to calculate the probability that it has exactly one type of defect

Using given data

[tex]P=\dfrac{P(A_{1}\cap A_{2}'\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}'\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

[tex]P=\dfrac{P(A_{1})-P(A_{1}\cap A_{2})-P(A_{1}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex] + [tex]\dfrac{P(A_{2})-P(A_{1}\cap A_{2})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]+ [tex]\dfrac{P(A_{3})-P(A_{1}\cap A_{3})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

P = [tex]\dfrac{P(A_{1})+P(A_{2})+P(A_{3})-2P(A_{1}\cap A_{2})-2P(A_{1}\cap A_{3})-2P(A_{2}\cap A_{3})+3P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

Put the value into the formula

[tex]P=\dfrac{0.11+0.08+0.05-2(0.06)-2(0.03)-2(0.02)+3(0.01)}{0.14}[/tex]

[tex]P=0.357[/tex]

Hence, The probability is 0.357

Answer: 2 Cups

Step-by-step explanation:

1/3 * 3 = 1

2/3 * 2 = 2

Answer:

you will need 2 cups of sugar for 1 batch of brownies

Step-by-step explanation:

2/3 cup ×3 = 6/3 cups or 2 cups

Answer:

7/24

Step-by-step explanation:

Answer:

The confidence interval will decrease

Step-by-step explanation:

Generally the confidence interval is mathematically represented as

[tex]\= x \pm z_c * \frac{s}{\sqrt{n} }[/tex]

Here [tex]z_c[/tex] is called the critical value of [tex]\frac{level \ of \ significance }{2}[/tex] obtained from the normal distribution table , s is the standard deviation , n is the sample size (number of measurements )

Now looking at the formula we that if the increase the sample size that the confidence level would decrease

So if the n is increased to 10  

   The  confidence interval would decrease

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                              = 10 * (x +2)

                              = 10*x + 10*2

                              = 10x + 20 square units

Area of triangle = [tex]\frac{1}{2}*bh[/tex]

                          [tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]

                          = (x + 4) square units

Area of rectangle = 8* area of triangle

10x + 20 = 8 *( x+ 4)

10x + 20 = 8x + 32

Subtract 20 form both sides.

10x  = 8x + 32 - 20

10x = 8x + 12

Subtract 8x form both sides

10x - 8x = 12

2x = 12

Divide both sides by 2

2x/2 = 12/2

x = 6

Answer:

y=4

y=8

y=12

y=16

2)4=19

5=22

addition of 3 to each value

3)17

4)3a^2

5)a^4

6)1

7)An arithmetic sequence is such that the difference between any term and the one immediately preceeding it is constant.

8)A geometric sequence is such in which each term is a constant multiple of its preceeding.

9)1.25

10)B.

Answer:

y=4

y=8

y=12

y=16

2)4=19

5=22

addition of 3 to each value

3)17

4)3a^2

5)a^4

6)1

7)An arithmetic sequence is such that the difference between any term and the one immediately proceeding it is constant.

8)A geometric sequence is such in which each term is a constant multiple of its proceeding.

9)1.25

10)B.

Step-by-step explanation:

The correct answer is (-7/2,-1/2) or (-3.5,-0.5)  To find the midpoint of a segment, add both "x" coordinates, divide by 2.  Then add both "y" coordinates, and divide by 2

Answer:

A. x+2+x+2

B. 2(x)

C. x+2+x+2=p

2(x)= a

Answer:

Let x = software program

Let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225

50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300

50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250

50(175)  + 35(250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.

Step-by-step explanation:

Answer:3

Step-by-step explanation:

24 fish divided by 8 days = 3 fish per day.

Answer:

Step-by-step explanation:

Hello,

[tex]-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)\\\\=-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=a^2+3ab^2-ab-b^2[/tex]

Thanks

The required, when rounded to the nearest 10, the estimated product of 3217 ×  44 is 128,800.

In mathematics, products are defined as the repetitive addition of a value a number of times to another value.

Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:

3217 rounds to 3220

44 rounds to 40

So we can estimate the product as:

3220 × 40 = 128,800

Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.

Learn more about the products here: https://brainly.com/question/10585362
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Answer:

x2=3

x= 3/2

x= 1.5

x•6= 1.5•6

x=9

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (1, -2)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 4: Write parallel linear equation

y = 3x - 5

Answer:

b

Step-by-step explanation:

its b

Answer:

Its B.

Step-by-step explanation:

Answer:

I think it's a 90 degree rotation

Answer:

x=-3.5

Step-by-step explanation:

3(x-1)+2=5x+6

3x-3+2=5x+6

3x-1=5x+6

3x-5x=6+1

-2x=7

[tex] - \frac{7}{2} [/tex]

x=-3.5

Answer:

Your answer would be 14,000

Answer:13,555

Step-by-step explanation: because in order for it to be rounded to the nearest 100 of 600 it would have to be over 550. If it was 550 or lower it would be rounded to 500. And in order for it to be rounded to the nearest thousand of 14,000 it would have to be a higher number than 13,550.

Answer:

  CD = 13 cm

Step-by-step explanation:

We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.

__

Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.

  CD = CM + MD = 4 cm + 9 cm

  CD = 13 cm

Answer: Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.

Step-by-step explanation: Example: √x+y

√16

12+√x

√3*x²