A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.

Answer:

(x+2)(x-2)(x^2-3)

Answer: The length of each leg is 10 inches.

Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.

If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.

The area of a triangle is given as

Area of triangle = 1/2 (b*h)

Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.

Hence, the area can be re-written as follows;

Area of a triangle = 1/2 (b*h)

50 = 1/2 (b*h)

By cross multiplication, you now have

50 *2 = b*h

100 = b*h

Having already determined that b equals h,

100 = h²

Alternatively

100 = b²

Therefore, adding the square root sign to both sides of the equation, you now have

√100 = √h²

10 = h

Therefore, the length of each leg, both base and height is 10 inches

Answer:

Let's see the first two points: (-7, 5) and (-5, 9)

The line passes these points has a form of: y = Mx + b

=> 5 = (-7)M + b

   9 = (-5)M + b

Subtract the 1st equation from 2nd equation, we have:

4 = 2M

=> M = 2

Substitute M back into 1st equation:

=> 5 = (-7)*2 + b

=> b = 19

=> y = 2x + 19

or y - 5 = 2x + 14

or y - 5 = 2(x + 7)

=> Option A is correct

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

The difference between the values of y are constant, that is

17 - 13 = 13 - 9 = 9 - 5 = 4

This indicates the relationship is linear.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table

m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Use any ordered pair from the table for (a, b)

Using (a, b) = (- 7, 5), then

y - 5 = 2(x - (- (- 7)) , that is

y - 5 = 2(x + 7) → A

Answer: FALSE

You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Answer:

y=2 when x=2

Step-by-step explanation:

3(2)=6

6+6y=18

6y=18-6

6y = 12

6y/6 = 12/6

y=2

Answer:

y=2 when x=2

Step-by-step explanation:

Did it on edge

Answer:

the answer is 96 square feet

you could use

4×4=16

then times how many rectangle you have which is 6

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

x = 37/13

Step-by-step explanation:

26x=74

x=74/26

x=37/13

answer:

is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!

Answer:

a) 1/(7x-14)

b) 2 (36-y^2)

Step-by-step explanation:

Please let me know if you need explanation

Answer:

9

Step-by-step explanation:

[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]

Hope this helps!

Answer:

p(-3)=9

Step-by-step explanation:

This question ask us to find p(-3), or what p(y) is when y is equal to -3.

We know that:

p(y)= y^3+3 y^2-5y-6

We want to find p(-3), so substitute -3 in for every y.

p(-3)= (-3^3)+3(-3^2)-5(-3)-6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponents first (-3^3 and -3^2)

-3^3=-3*-3*-3= -27

-3^2= -3* -3= 9

p(-3)= -27+ 3(9) -5(-3) -6

Next, multiply 3 and 9

p(-3)= -27+27-5(-3)-6

Then, multiply -5 and -3

p(-3)= -27+27+15-6

-27 and 27 equal 0, so they cancel each other out.

p(-3)=15-6

p(-3)= 9

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

Answer:

10 square centimeters

Step-by-step explanation:

The insides of this square is now made up of a 2 by 2 square in the center, surrounded by 4 triangles with bases of 3 units and heights of 1 unit. The formula for the area of a triangle is bh/2, which means that each triangle had an area of 1.5. Multiplying this by 4 and adding the area of the central square, you get a total area of 4+6=10. Hope this helps!

Answer:

2

Step-by-step explanation:

when you divide fraction, you flip the second fraction and change to multiply

y/4 *8/y =8/4 =2

Answer:

2

Step-by-step explanation:

[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]

= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]

= [tex]\frac{8y}{4y}[/tex]

= 2

Hope this helps <_>

Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

Learn more on parabola here:

https://brainly.com/question/4061870

#SPJ2

Answer & Step-by-step explanation:

When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.

f(x) = 3x + 1

g(x) = x² - 6

(3x + 1)(x² - 6)

Multiply each term from the first parentheses to the second parentheses.

3x³ - 18x + x² - 6

Combine like terms and make sure the expression is in standard form.

3x³ + x² - 18x - 6

So, your answer will be letter choice B.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]

[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]

[tex]=\frac{3}{6}[/tex]

[tex]=\frac{1}{2}[/tex]

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]

Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]

Multiply the 2 roots you get my answer 1/2

Answer:

B

Step-by-step explanation:

Because you subtract 14 from the right and left of the = sign

and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Answer:24

Step-by-step explanation:

By Pythagoras

a^2=b^2 +c^2

74^2-70^2=c^2

C=√576

C=24

Answer:

C

Vertex at (-4 , 18)

Step-by-step explanation:

The vertex's x-coordinate is -4

To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.

-2 (-4 + 4)^2 + 18

-2(0)^2 + 18

= 18

Vertex at (-4, 18)

Answer:

24 cm² and 12 cm²

Step-by-step explanation:

Sum the parts of the ratio, 2 + 1 = 3 parts

Divide the area by 3 to find the value of one part of the ratio.

36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24 cm²

area of A = 12 cm² and area of B = 24 cm²

Answer:

3:1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Look at the paired sides

what would the ratio of 10 and 15 be

2:3

So let's apply that to the other side

12:?

2:3

6*3=18

Let me know if I am right

Answer:

-12

Step-by-step explanation:

[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]

Hope this helps!

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

C(n)=1.25n

Where n= number of cans

Step-by-step explanation:

C=cost

n=number of cans

Quantity Total cost

1 $1.25

2 $2.50

3 $3.75

4 $5.00

Total cost, c(n) =1.25n

Check

Total cost when n=4

Total cost c(4)=1.25×4

Total cost c(4)=5.00

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I literally did it on edge 2020 and got it right.

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

Model B or 1/3 of the Pizza

Answer:

1/3

Step-by-step explanation:

model 1/3