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The water level in a storage tank is 14 feet. Water
is released at a constant rate until the tank is
empty. The graph below shows the water level (y)
in the tank, as a function of time (x).

which of these equations represents the relationship between time and the water level?

A. Y= -2x+14
B. Y= -2x-14
C. Y= 2x +14
D. Y=2x-14

Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

Answer:

C

Step-by-step explanation:

2-(p*6)

minus=the difference of

(p*6)=p times 6

Fully written out: The difference of two and p times six

Answer:

The answer is 19

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

60 x 1.6 = 96 kilometers

Answer:

x=31

Step-by-step explanation:

If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16

140-16=4x

124=4x

124÷4=x

31=x

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

The equation whose variables have the highest power as 1 is known as a linear equation.

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

Learn more about solving linear equations here - https://brainly.com/question/1682776

#SPJ2

Answer:

The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D

Step-by-step explanation:

In any function,

Domain is the values of x

Range is the values of y corresponding to x

In the function y = sin(x),

∵ The graph ends with arrows

→ That means there is many cycle not 1 cycle

∴ x ∈ R

→ That means x can be any value from -∞ to ∞

∵ x is the domain of the function

∵ R is the set of real numbers

∴ Domain = {x : x ∈ R} = (-∞, ∞)

∵ sin([tex]\frac{\pi}{2}[/tex]) = 1

∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]

∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1

∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]

∴ -1 ≤ y ≤ 1

∵ y is the range of the function

∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]

∴ The right answer is domain: (-∞, ∞); range: [-1, 1]

Answer:

D: domain: (–ꝏ, ꝏ); range: [–1, 1]

Step-by-step explanation:

Hope this helps whoever needs more clarification.

Answer:

1445

Step-by-step explanation:

2601*(9/9-4/9)

(9/9 - 4/9) = 5/9

5/9×2601 = 1445

Answer = Girls are 1445

Answer:

The flag pole is 12.8 feet tall.

Step-by-step explanation:

doing the second one hold up

Answer: x= 38 10/13 ?

Step-by-step explanation:

simplify both sides of the equation, then isolate the variable.

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

Answer:

The slope is 29 mm.

Step-by-step explanation:

What we know:

The radius of this cone is 20 mm, and the height is 21mm

s = √r^2 + h^2

s = √20^2 + 21^2

s = √400 + 441

s = √841

s = 29 mm

The slant height of the cone is required,

The ant would have to crawl [tex]29\ \text{mm}[/tex]

V = Volume of cone = [tex]8792\ \text{mm}^3[/tex]

r = Radius of cone = 20 mm

h = Height

s = Slant height.

Volume of a cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]

From Pythagoras theorem we have

[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]

Learn more about slant height:

https://brainly.com/question/6613758

Answer:

13

Step-by-step explanation:

The square root of 169 is 13

Answer:

The first one is 64

and for the second one i cant really see it, but it should be 4 radical 10

Answer:

-2

Step-by-step explanation:

Substitute in -3 for all x values and solve

Answer:

The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

Step-by-step explanation:

We have:

- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km

- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km

Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:

[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]

Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

I hope it helps you!                                              

Answer:

c I am 100% sure

Step-by-step explanation:

Answer:

b = -5/2

Step-by-step explanation:

- 6 (b + 3)= - 8 + 5

- 6b - 18= - 3

- 6b= - 3 + 18

- 6b= 15

b= - 15/6

b= - 5/2

Answer:

x(x+4) = 21, or x²+4x-21 = 0

Step-by-step explanation:

The perimeter of a triangle is the sum of all its side lengths

11.3 + 14.7 + x < 44

Combine like terms

26 + x < 44

Subtract 26 from both sides.

x < 18

Answer:

Its D

Step-by-step explanation:

Took on Ed

Answer:

please send clear pic or canr help but make me brillantist

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

Answer:

A

Step-by-step explanation:

you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09

credits to the owner:lisboa, another brainly expert

Answer:

It would be 18/40 and his grade would be a 45%

Answer:

24

Step-by-step explanation:

18/30×40=24

Answer:

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Step-by-step explanation:

Given

1. When time is not more than 12 hours.

Base amount = P25

Additional = P5 per hour

2. When time is more than 12 hours

Fee = P100 one time payment

Represent (1) as a function of t.

p(t) = Base Amount + Additional * t

p(t) = 25 + 5 * t

P(t) = 25 + 5t --- when t ≤ 12

Represent (2) as a function

P(t) = 100 ---- when t > 12

So, the complete function is

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Answer:

I think the answer is -12

Step-by-step explanation:

g(x) = x^2 +  3x - 2, If g(-2)

Plug the value for x into the equation

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

Simplify

g(x)= -4+(-6)-2

g(x)= -10-2

g(x)= -12

Hope this helps ^^

Answer:

f(3) = -3(3) - 2

Step-by-step explanation:

3f = -3 x 3 -2

3f = -9 - 2

3f = -11

f = 3.6 (rounded)