A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?

9514 1404 393

Answer:

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

Answer:

add

subtract

multiply

Step-by-step explanation:

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

https://brainly.com/question/1509142

Answer:

No

Step-by-step explanation:

a^2+b^2=c^2

5^2= 25

7^2 = 49

25+49=74

square root of 74 does not equal 9

Answer:

No.

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

5²+7²=9²

5²=25, 7²=49, 9²=81

25+49 does not equal 81.

Answer:

5a^10

Step-by-step explanation:

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.

d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1

Answer:

56/15

Step-by-step explanation:

All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15

So the answer is 56/15.

Answer:

56/15

Step-by-step explanation:

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

.....

Step-by-step explanation:

Answer:

Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Answer:

The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

3(2r+1)

Step-by-step explanation:

5r+1 is 6

Then you factor out 3 and get 3(2r+1)

Answer:

23.08

Step-by-step explanation:

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

Answer:

nahhhh why did you report me I did nun wrong

Step-by-step explanation:

Answer:

The answer for this particular question is (5,-8)

Answer:

At least 8.333 km/hr

Step-by-step explanation:

Using the inequality setup, we have

5/r + 1.25 + .75 + .9 ≤ 3.5

5/r ≤ .6

5 ≤ .6r

r ≥ 25/3 = 8.333

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Step-by-step explanation:

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.