A swimming pool has a leak and is losing 23.5 gallons of water every 5 days. What is the average change in water volume each day?

Answer:

24 centimeters

Step-by-step explanation:

You can just count the squares around the rectangle since each of those squares is a centimeter. Hence the name centimeter grid.

Answer:

Does C have a number or can you just send a picture of the problem

Answer:

26 times

Step-by-step explanation:

one time every 15 minutes starting at 11:15 ending at 5:30

Answer:

Step-by-step explanation:

9854

Answer:

-a^2 + ab

Step-by-step explanation:

(a^2 - 2ab +b^2) + (2a^2 + 2ab + b2) = 3a^2 + 2b^2

(a^2 - b^2) + (a^2 + ab + 3b^2) = 2a^2 + 2b^2 + ab

subtract the first part from the second part:

(2a^2 + 2b^2 + ab) - (3a^2 + 2b^2) =    -a^2 + ab

Answer:

Step-by-step explanation:

Faxt

Answer: x < -2

Step-by-step explanation:

Answer:

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

We have the polynomial [tex]p(x) = 3x^3-20x^2+37x-20[/tex]

It has a known factor [tex]x - 4[/tex]. This means that the polynomial can be written as:

[tex]p(x) = (x-4)q(x)[/tex]

In which q(x) is a second order polynomial, because p is of the third degree and q is of the first degree(3 - 1 = 2). So

[tex]q(x) = ax^2 + bx + c[/tex]

We have to find a, b and c. Then

[tex]3x^3-20x^2+37x-20 = (x-4)(ax^2 + bx + c)[/tex]

[tex]3x^3-20x^2+37x-20 = = ax^3 + (-4a + b)x^2 + (c - 4b)x - 4c[/tex]

Comparing both sides, we have that

[tex]a = 3[/tex]

[tex]-4c = -20 \rightarrow c = 5[/tex]

[tex]c - 4b = 37[/tex]

[tex]-4b = 32 \rightarrow b = -8[/tex]

Now we find the roots of this polynomial.

[tex]\bigtriangleup = b^{2} - 4ac = (-8)^2 - 4(3)(5) = 64 - 60 = 4[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{4}}{2*3} = \frac{5}{3}[/tex]

[tex]x_{2} = \frac{-(-8) - \sqrt{4}}{2*3} = 1[/tex]

So, as a product of it's factors, we have that q is:

[tex]q(x) = (x - \frac{5}{3})(x - 1)[/tex]

And p(x)

[tex]p(x) = (x-4)q(x)[/tex]

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Answer: (x-4)(3x-5)(x-1)

Step-by-step explanation:

A number squared is multiplication.

You multiply the number squared by itself.

10 squared would be 10 * 10

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Answer:

8 1/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, remember two things about translations.

For a function f(x).

A horizontal translation to the right of N units is written as:

f(x - N)

A vertical translation up of N units is written as:

f(x) + N.

Now let's look at the graph.

You can see that:

g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).

Then we have:

g(x) = f(x - 4) - 3.

and f(x) = ∛x

then g(x) = ∛(x - 4) - 3

The correct option is D.

Answer:

20 x 5 = 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

17.7 inches

Step-by-step explanation:

Use the Pythagorean Theorem.

length² + width² = diagonal²

width² = diagonal² - length² = 19² - 7² = 312

width = √312 ≅ 17.7 inches

Answer:

17.7

Step-by-step explanation:

got it right at k12 :)

Equivalent expressions are expressions with equal values

The equivalent expression of 2(x-7)- 2(2x-5) is -2x -4

The expression is given as:

2(x-7)- 2(2x-5)

Open the bracket

2(x-7)- 2(2x-5) = 2x - 14  -4x + 10

Collect like terms

2(x-7)- 2(2x-5) = 2x -4x - 14 + 10

Evaluate the like terms

2(x-7)- 2(2x-5) = -2x -4

Hence, the equivalent expression of 2(x-7)- 2(2x-5) is -2x -4

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

1681

Step-by-step explanation:

Answer:

1681

Step-by-step explanation:

28 + 13 = 41

41² = 41 × 41

41 × 41 =1681

Answer:

I think this is right? The instructions seem a bit vague to me...

Condition A: Many

Condition B: One

Condition C: One

Condition D: Many

Condition E: Many

Condition F: One

Step-by-step explanation:

So Condition A: A rectangle with 4 right angles is going to be in many quadrilaterals because squares are also a rectangle with 4 right angles. So condition A has 2 or maybe more that I forgot about.

Condition B: A square with one side measuring 5 inches is one quadrilateral. Squares are one specific type of quadrilateral so they're probably going to go into one quadrilateral

Condition C: A rhombus can sometimes also be a square, but since in this case, it's angle is only 43°, it should be one quadrilateral.

Condition D: There are a lot of parallelograms. Just because one angle is 32°, it doesn't mean there is just one. There are rhombuses and trapezoids that have 32° angles that would be parallelograms. This one is many.

Condition E: This one was hard for me to visualize, but I'm pretty sure this one is also many. There are at least 2. One side could be 6 inches and another could be 8 inches and then, it could be vice versa, so there are probably more than one. This one is many.

Condition F: Is this even possible? I think it's one.

Answer:

8/27

Step-by-step explanation:

2 2/3 = 8/3

8/3 divided by 9 =

8/3 x 1/9 =

8/27

Answer:

23,000 = 3x + 18,500

Step-by-step explanation:

23000-18500=4500

x = 1500

15000 = 10x

23000-10000=13000

Answer:

672

Step-by-step expl

The total number of slices in 6 kg oranges will be equal to 672 slices.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

1 dozen = 1.5 kg

Then, in 6 kg there will be how many dozens,

Let there be x dozens in 6 kg.

x = 6/1.5

x = 4 dozen.

One dozen oranges = 12 oranges.

So, the number of oranges in 4 dozens = 12 × 4 = 48 oranges.

1 orange = 14 slices

Then, 48 orange = 48 × 14 = 672 slices.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

Answer:

here

Step-by-step explanation:

just do 4 x 4

Answer:

hhiuhdhdbbduwhebbdbnosjwbbsundnks

Step-by-step explanation:

Answer:x=9

Step-by-step explanation:

3x-20 is proportional to 56 by 1/8, exactly as the left side is. (I don’t remember the name of the theorem but you can look it up online.) Because of this you can determine that 3x-20 is 7, so 3x=27 and x=9.

Answer:

123fffdew2rfgg

Step-by-step explanation:

ggewrffd

Answer:

Step-by-step explanation:

1/16 I think

Answer:

x = -96/23

Step-by-step explanation

[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4

multiply each side of equation by 24 to eliminate denominators

(24) [tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4 (24)

3(3x) - 8(4x) = 96

9x - 32x = 96

-23x = 96

x = -96/23

Answer:

5x^2 + x + 10

Step-by-step explanation:

you appear to have a typo. I'd say

(f+g)(x) = f(x) + g(x) = 9-x + 5x^2+2x+1 = 5x^2 + x + 10

Answer:

4(2×3+3)-2×2

4(9)-4

36-4

32

Answer:

Hi! The correct answer is 32!

Step-by-step explanation:

Simplify the expression.