The graph shown below represents the rate at which water drains from a tank once the drain is opened which statement correctly describes the graph


A. The water is draining at constant rate of 1/2 gallon per minute, and the tank contained exactly 14 gallons when the drain opened

B. The water is draining at a constant rate of 2 gallons per minute,and the tank contained exactly 14 gallons when the drain was opened

C. The water is draining at a constant rate of 5 gallons per minute, and the tank contained exactly 14 gallons when the drain was opened

D.the water is draining at a constant rate of 14 gallons per minute, and the tank contained exactly 1/2 gallon when the drain was opened

Answer:

(4, 7/2)

Step-by-step explanation:

Take the mean of the x-coordinates and the mean of the y-coordinates.

x = (-1 + 9)/2 = 8/2 = 4

y = (2 + 5)/2 = 7/2

Answer: (4, 7/2)

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

Answer:

I can't understand number 6 sorry :(

7. The DO side is the hypotenuese8.

8. 107.62

Step-by-step explanation:

The formula for this is:

[tex]a^2+ b^2 = c^2[/tex]

66 × 66 = 4,356

85 × 85 = 7,225

4356 + 7225 = 11,581

[tex]\sqrt{11,581}[/tex] ≈ 107.62

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Have a great summer :)

Answer:

α² + β² = 5

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a≠ 0 ) , then

sum of roots = - [tex]\frac{b}{a}[/tex]

product of roots = [tex]\frac{c}{a}[/tex]

x² - x - 2 = 0 ← is in standard form

with a = 1, b = - 1, c = - 2 , then

α + β = - [tex]\frac{-1}{1}[/tex] = 1

αβ = [tex]\frac{-2}{1}[/tex] = - 2

Using the identity

(α + β)² = α² + β² + 2αβ , then

α² + β² = (α + β)² - 2αβ = 1² - 2(- 2) = 1 + 4 = 5

[tex] \large \boxed{ \boxed{\mathrm{ \alpha }^{2} + { \beta }^{2} = 5}}[/tex]

let's solve for :

let's plug the values,

[tex] \mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2[tex]\pi[/tex]r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Answer:

Here we have:

f(x) = 2^x

g(x) = 0.5*2^(x - 3) - 1

We want to compare g(x) and f(x).

The first thing we should do here, is to define the transformations used.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Ok, now let's start with f(x), and try to use transformations to construct g(x).

We start with f(x).

If we start with a vertical dilation of scale factor k = 0.5, then:

g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

g(x) = 0.5*f(x - 3)

if now we apply a vertical translation of 1 unit down, we get:

g(x) = 0.5*f(x - 3) - 1

Replacing by the actual function we get

g(x) = 0.5*2^(x - 3) - 1

So we got g(x).

Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.

need help?

Step-by-step explanation:

just try plotting on a number line

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer: dont listen to the answer above

Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet

Answer:

Sueldo neto= $160.000

Step-by-step explanation:

Dada la siguiente información:

Sueldo bruto= $200.000

Descuento total= 20%

Para calcular el sueldo neto, debemos usar la siguiente formula:

Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)

Sueldo neto= 200.000*( 1 - 0.2)

Sueldo neto= $160.000

Answer:

20 cents

Step-by-step explanation:

Divide 3 dollars by 15 caterpillars.

3/15 = 0.2

20 cents

Answer:

452.16 ft²

Step-by-step explanation:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi and 12 as the radius, then solve:

A = (3.14)(12)²

A = (3.14)(144)

A = 452.16

So, the area of the circle is 452.16 ft²

Answer:

36x

Step-by-step explanation:

Answer:

lokókà

haha

Step-by-step explanation:

góbôńìkásó

Answer:

the final price is $ 163 can be wrong

Profit: $78.60

Revenue: $340.60

Answer:

12

Step-by-step explanation:

f(-7) = 5-(-7)=5+7=12

Answer:

C.  y= 1/7x2

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

Answer:

gdfhddfdhgbg

Step-by-step explanation:

Answer:

175 Miles has to be driven to do the plans cost the same.

Step-by-step explanation:

Assume The Chau Drive Y miles .

We Have Given Two Plans ,

Now,Put First Plan=Second Plan (When Both Plans Cost The Same)

50$ + 0.19$ × Y = 57$ + 0.15$ × Y

0.04$ × Y = 7  ⇔  Y = 175 Miles

Answer:

1st one is 9

2nd one is 6

3rd one is 2

Step-by-step explanation:

Answer:

2n +11

Step-by-step explanation:

4n+11−2n

Combine like terms

4n -2n +11

2n +11

Answer:

2n+11

Step-by-step explanation:

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Given:

The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]

To find:

The total surface area of the cube in terms of p.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]            ...(i)

Where, a is the side length.

It is given that,

[tex]V=(2+3p)^3\ \text{cm}^3[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=2+3p\text{ cm}[/tex]

Now, the total surface area of a cube is:

[tex]A=6a^2[/tex]

Where, a is the side length.

Putting [tex]a=2+3p[/tex], we get

[tex]A=6(2+3p)^2[/tex]

Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].

Answer:

79/300 mm

Step-by-step explanation:

We can use Ratio and Proportion to answer this question,

We know,

12 sheets of paper = 3.16mm

So,

1 = 3.16/12 mm

So, the thickness of 1 sheet of paper is => 3.16 / 12

=> 79/300

Hope it helps :)

Answer:

Step-by-step explanation:

Thickness of  1 sheet = thickness of 12 sheets ÷ number of sheets

                                  = 3.16 ÷ 12

                                  = 0.26 mm

Answer:

LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR

Step-by-step explanation:

LCM OF 48 AND 54 = 2×3×2×3×3×2×2

=

[tex]16 \times 27[/tex]

432

Answer: D

Step-by-step explanation:

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

Answer:

a) 6x² + 2x + 4

b) 32 cm

Step-by-step explanation:

a) In terms of x ,

Perimeter of the figure =

[tex](x+2) + (x^2) + (x^2) + (x+2) + (4x^2)[/tex]

[tex]= 6x^2+2x+4[/tex]

b) If x = 2cm ,

Perimeter of the figure [tex]= 6 \times (2)^2+2 \times (2)+4[/tex]

[tex]= 24 + 4 + 4[/tex]

[tex]= 32\;cm[/tex]

Answer:

[tex]f(x) = 5 *2^x[/tex]

Step-by-step explanation:

Given

[tex]a=5[/tex] -- initial

[tex]r = 2[/tex] --- rate (i.e. double)

Required

The function to represent the scenario

The above scenario represents an exponential function where

[tex]f(x) = ar^x[/tex]

So, the function is:

[tex]f(x) = 5 *2^x[/tex]