Kate Sanders, a researcher in the department of biology at PFW University, studied the effect of agricultural contaminants on the stream fish population in northeastern Indiana (April 2012). Specially designed traps collected samples of fish at each of four stream locations. A research question was: did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender

Step-by-step explanation:

x+y=17 (First equation)

x-y=3 (Second equation)

Solving Equation (i)

x+y=17

x=17-y(First equation)

Putting value of x in equation (ii)

x-y=3

x=3+y

17-y=3+y

17=3+y+y

17=3+2y

2y=17-3

y=14/2

y=7

Putting value of y in equation(i)

x=17-y

x=17-7

x=10

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) You go about this by using the given equation.

  Left + Right = Total

  JK + KL = JL

  (2x -3) + 11 = 4x

  8 = 2x . . . . . simplify, subtract 2x

  4 = x . . . . . . divide by 2

__

b) JL = 4x = 4·4

  JL = 16

Answer:

We should attempt synthetic division to find when

x

3

−

k

x

2

+

2

k

x

−

15

x

−

3

has a remainder of

0

, which would signify that it is a factor of the polynomial.

The synthetic substitution would be set up as:

3

−

∣

∣

∣

1

−

k

2

k

−

15

−−−

−−−

−−−

−−−

−−−

|

0

Treating the synthetic division like any other synthetic division problem, we see that

3

−

∣

∣

∣

1

−

k

2

k

−

15

−−−

−−−

3

−−−−−−−−

−

3

k

+

9

−−−−−−−−

−

3

k

+

27

−−−−−−−−−

1

−

k

+

3

−

k

+

9

|

0

If the remainder equals

0

, then we know that

−

3

k

+

27

+

(

−

15

)

=

0

Solve this to see that

k

=

4

.

Thus,

(

x

−

3

)

is a factor of

x

3

−

4

x

2

+

8

x

−

15

.

Answer:

4.25

Step-by-step explanation:

Step-by-step explanation

2.5 cups = 5servings

x cups = 8servings

2.5*8 = 5*x

20 = 5x

divide both sides by the coefficient of x

20/5 = 5x/5

4 = x

i.e x = 4

Answer:

a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.

b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450

Answer:

[tex]\displaystyle \frac{118}{125}[/tex]

Step-by-step explanation:

Trigonometry

Calculate

[tex]\sin (3\sin^{-1}(2/5))[/tex]

We use the formula for the sine of triple angle:

[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]

And recall:

[tex]\sin \sin^{-1}x=x[/tex]

For this problem, we set:

[tex]x=\sin^{-1}(2/5)[/tex]

Thus:

[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]

[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]

[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]

Answer: x = -2/3

[tex]\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3[/tex]

Step-by-step explanation:

Answer:

22 people

Step-by-step explanation:

49 - 5 = 44 cupcakes

44 ÷ 2 =  22 people

Answer:

D: Add 4; 1, 5, 9​

Step-by-step explanation:

Firstly, we can look at the preceding sequence: -15, -11, -7, and -3. It's pretty much impossible to be subtract 4, since -15 - 4 = -19, and it only goes downhill from there, deviating from the original sequence. Hence, the front sequence should be following the pattern of add 4.

Now, to decide between B and D, all you have to do is add 4 to the last term of the sequence to continue it. In this case, that would be -3 + 4 = 4 - 3 = 1. Hence, we can instantly identify the correct option is D: Add 4; 1, 5, 9​.

Hope this helped!

Answer:

D is the answer: 4, 1, 5, 9

Step-by-step explanation:

Answer:

The secret number is 93.

Answer: I think 12...

Step-by-step explanation:

Answer:

Step-by-step explanation

[tex]\frac{4x - y}{2} = 5[/tex]

4x - y = 5 × 2

4x - y = 10

4x = y + 10

x = [tex]\frac{y + 10}{4}[/tex]

hope this helps

Answer:

Ethan sold more

Step-by-step explanation:

2/3 and 1/4

Simplify to 8/12 and 4/12

8/12 is more

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

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Answer:

2/5

Step-by-step explanation:

(2,2) and (7,4) 4-2/7-2=2/5

Answer:6.875

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

y=mx+b

67.5=3.75(6)+b

b=45 so membership fee is $45

Answer:

32000 grams

Step-by-step explanation:

The weight of a 32 kg child in pounds is 70.56 pounds.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The weight of baby = 32 kg

Now,

Since, 1 kg = 2.205 pounds

So, We convert the weight of baby from kg to pounds as;

1 kg = 2.205 pounds

32 kg = 32 x 2.205 pounds

         = 70.56 pounds.

Thus, The weight of a 32 kg child in pounds is 70.56 pounds.

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Answer:

Step-by-step explanation:

Sum of infinite GP is:

The second term is:

Eliminate r in the system:

Compare the two equations and solve for a:

Multiply both sides by 16a:

a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1

Answer:

$31.50

Step-by-step explanation:

If the value fell by 30%, then the game is worth 70% of its' original value. So:

45 x 70%=45 x .7=31.5......................

Answer:351.86 cc( approximately)

Step-by-step explanation:

The volume of the material = External volume - internal volume

= π3^2×50-π 2.6^2×50

=351.86

The volume of the material by the pipe is 351.86 cc.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively

The length of the pipe is 50 cm

External volume = π(3)²×50 = 1413.71 cc

internal volume = π (2.6)²×50 = 1061.85

The volume of the material = External volume - Internal volume

The volume of the material = 1413.71 - 1061.85

The volume of the material = 351.86 cc

Learn more about the volume of cylinder here :

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