Is the study experimental or observational? A sample of fish is taken from a lake and each fish is weighed to measure the effect of pollution from a nearby factory on the fish. This group is then compared to another group taken from a lake in the same county in a state park where no businesses or houses are near the lake.

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:I tnink its 21 sorry if wrong

Step-by-step explanation:

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (10, 0) = (x_1, y_1) [/tex]

[tex] (16, 8) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]

[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Length of fencing = 6 + 8 + 10 = 24 m

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

Answer:

it's -11

Step-by-step explanation:

hope this helped

Answer:

-11

Step-by-step explanation:

Problem: 4-9+(-6)

First: 4-9

Second: -5+(-6)

Answer: -11

Answer:

the image up is your answer to the question.

Answer:

-2

Step-by-step explanation:

Value of the function at x = 4 is 12

Value of the function at x = 8 is 4

change in y is  4 - 12 = -8

change in x is 8 - 4 = 4

x = 4 to x = 8 is -8/4 = -2

Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Answer:

322 people attended and made $6440

Step-by-step explanation:

23 x 14 = 322

322 x 20 = 6440

Answer:

E

Step-by-step explanation:

is the answer

Answer:

6=a23

8=a35

2=a32

Step-by-step explanation:

Answer:

r=168

Step-by-step explanation:

Answer:

143.75

Step-by-step explanation:

idk man use google or something

Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:

[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]

[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]

Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.

Answer:

Step-by-step explanation:

(5 - 2i)^2

25 - 10i - 10i + 4I^2

25 -20i - 4

21 - 20i

Answer:

B. It is an irrational number

Step-by-step explanation:

A would not be true because PI does not terminate (end)

B is true, because PI does not repeat or end

C would not be true because PI does not repeat

D just would not be true

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

Answer:

b. x=2

Step-by-step explanation:

Step 1- Move the variable to one side.

12x-8= 3x+10

-3x     -3x

9x-8= 10

Step 2- Add 8 to both sides.

9x-8= 10

  +8   +8

9x= 18

Step 3- Divide to both sides.

9x= 18

9     9

x= 2

Answer:

A

Step-by-step explanation:

Answer:

7/18

Step-by-step explanation:

Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.

Anthony had eaten an (11/18) fraction of pizza in all.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.

We are asked to find how much of the pizza has he eaten in all.

Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.

or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,

or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,

or, Total pizza Anthony had = {11/18}th fraction of pizza.

Therefore, Anthony had eaten an (11/18) fraction of pizza in all.

Learn more about fractions at

brainly.com/question/11562149

#SPJ2

Answer:

$66.6

Step-by-step explanation:

Given that,

The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full  amount due on the bill.

We need to find 20% of $333 as follows :

[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]

Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).

Answer:

0.01

Step-by-step explanation:

Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.

Average volume of water 10.03ml.

Standard deviation is 0.0001 + 0.0001

Standard deviation is [tex]\sqrt{0.0002}[/tex]  = 0.01.

Answer:

The domain is 2,3,4,5

Step-by-step explanation:

Domain is the x values of the input values

You have to put the domain numbers in least to greatest format. And separate the number is commas, not braces

The domain is 2,3,4,5

Hope this helps!

Answer:

a) 24x+6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

we have the point

[tex](2,-4)[/tex]

so when

x=2

y=4

so we can try on all equations

[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]

so equation 1 could be

[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]

so equation 2 could be

[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]

so equation 3 is not

[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]

so equation 4 is not

So another point that we have is

[tex](0,-3)[/tex]

so we plug in

[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]

so this isn't

[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]

so the answer is b

Answer:

260

Step-by-step explanation:

hope it helps

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.