As a private contractor for a septic tank cleanup company, you oversee the draining of septic tanks in the county. Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.

Is there enough storage in the truck to drain a full septic tank in the shape of a cube measuring 191 inches on each side? (231 cubic inches in 1 gallon.)
There is enough storage in the truck. The volume of the septic tank is about 25,219 gallons.
There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 36,481 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 6,967,871 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 7,045,500 gallons.

Answers

Answer 1

There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.

How to determine if there is enough storage in the truck to drain a full septic tank?

Given that:

Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.

A full septic tank in the shape of a cube measuring 191 inches on each side.

First, calculate the volume of the septic tank:

Volume of septic tank (V) = S³

where S is the side length of the septic tank

S =  191 inches

V = S³

V = 191³ = 6967871 cubic inches

Since we have 231 cubic inches in 1 gallon:

V = 6967871 / 231 = 30,164 gallons

Thus, the capacity of the full septic tank is 30,164 gallons

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Related Questions

A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%

Answers

I can’t do that math man…

An airline passenger fell asleep halfway to her destination. When she awoke, the distance remaining was half the distance travelled while she slept. How much of the entire trip did she sleep?​

Answers

Answer:

1/4 of the trip

Step-by-step explanation:

The questions is asking what is 1/2 of 1/2 and that would b 1/4

50 POINTS! I GIVE BRAINLIEST ANSWERR!!! PLEASE HELP !!!!! David is standing 500 feet away from the base of a cell phone tower. the angle of elevation from his eyes to the top of the tower is 78°. if David’s eyes are 6 feet above the ground how tall is the tower (EXPLAIN PLEASE)

Answers

The height of the tower is 2358.3 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the height of the tower be = A

Let the base of the tower be at a distance of = 500 feet

Now , the angle of elevation is θ = 78°

The height of David's view = 6 feet above

So , the total height of the tower be = A + height of David's eyes

Now , A right angle triangle is formed between the tower, the angle of elevation of David's eyes and his distance from the tower

And , the opposite side = A

Adjacent side = 500 feet

So , from the trigonometric relations

tan θ = opposite side / adjacent side

tan θ = A / 500

Multiply by 500 on both sides , we get

A = tan θ x 500

Substituting the value for θ

A = tan 78° x 500

A = 4.7046 x 500

A = 2352.3 feet

Now , the total height of the tower = A + height of David's eyes

                                                          = 2352.3 + 6

                                                          = 2358.3 feet

Hence , The height of the tower is 2358.3 feet

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When the function ƒ(x) = 8x is evaluated for x = 2, the output is:

64.

16.

10.

Answers

Answer: 64

Step-by-step explanation:

Given z, find |z|.

z=-2-6i

Answers

Answer:

[tex] \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} [/tex]

[tex] \\ [/tex]

Explanation:

We are given a complex number in algebraic form, and we would like to find its modulus, |z|.

[tex] \\ \\ [/tex]

Modulus of a complex number

[tex] \\ \\ [/tex]

Let's recall that a complex number in algebraic form is written as [tex] \sf z = a + ib [/tex] , where a is its real part and b is its imaginary part.

[tex] \\ [/tex]

The modulus of said complex number is calculated as follows:

[tex] \sf | \sf z| = \sqrt{a^2 + b^2} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

Let's identify our values:

[tex] \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i [/tex]

[tex] \\ [/tex]

Now, substitute these values into our formula:

[tex] \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} [/tex]

[tex] \\ [/tex]

While this may be optional, the result can be simplified by using the following property:

[tex]\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}[/tex]

[tex] \\ [/tex]

[tex] \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

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The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have?
Group of answer choices

48 units

21 units

27 units

33 units

Answers

Answer:

27 units

Step-by-step explanation:

12 over 4

36 over x

x = 27

linear equation

Answer:alt  account

Step-by-step explanation:

Jean Conrad is an amateur bowler with an average score of 187. She recently bowled a perfect 300 score. Write an equation that can be used to find how much the perfect score was above her average score and then solve the equation.

Answers

The equation to find out his score is above average is  x = 300 - 187

and it is 113.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jean Conrad is an amateur bowler with an average score of 187. She recently bowled a perfect 300 score.

Let the score above her average score be x,

x = 300 - 187.

x = 113.

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What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?

Answers

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

What is a function?

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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SOLVE FOR R

8 = 4 − –r
R=

Answers

8=4-(-r)
8=4+r =>positive plus positive is a negative
-4 -4
————
4=r

Which pair of numbers has an lcm of 16​

Answers

Answer:4 and 16

Step-by-step explanation:

4 = 4, 8, 12, 16, 20

16 = 16, 32..

LCM = 16

Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?

Answers

The previous length and width are 20 ft and 12 ft, new length and width are 30 ft and 18 ft thus, option (C) is correct.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given scale factor 1 in 4ft

Previous length   = 5 × 4 = 20 feet

Previous width = 3 ×4 = 12 ft

As per the given scale factor 1 in 6ft

Previous length = 5×6  = 30 feet

and New width  = 3 × 6 = 18 feet

Hence" the Previous length and width are 20 ft and 12 ft, new length and width are 30 ft and 18 ft".

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The complete question is below,

Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?

The length of the flower box under the new scale is 15 ft.

The length of the flower box under the old scale is 30 ft.

The width of the flower box under the old scale is 12 ft.

The width of the flower box under the new scale is 24 ft.

The complex fifth roots of 5-5sqrt3i

Answers

The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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please find the equation

Answers

Answer:

Below

Step-by-step explanation:

FIRST, note that it has a negative slope   ( goes downhill when reading from L to R) .....this is nice to know to see if you calculate slope correctly:

Find two convenient integer coordinates to calculate slope

 ( 0,2) and  (4,0)  

slope =   (2-0)/(0-4) = m = -1/2

b = y-axis intercept = +2  ( from the graph )

Line equation is  y = mx + b

                               y = -1/2 x + 2

A triangle has a side with length 9 feet and another side with length 7 feet. The
angle between the sides measures 69°. Find the area of the triangle. Round your
answer to the nearest tenth

Answers

Answer:

63

Step-by-step explanation:

sorry its blurry but here are the numbers just in case

-3x-3
-------- =7
6

Answers

Answer: x=-15

Step-by-step explanation:

First you want to get rid of the fraction.
you multiply by 6 on each side so you get -3x-3=42. After that you add 3 to get 45, and lastly you divide 45 by -3 which gets you -15

-2(12-2(-4) )^2 please help. ​

Answers

Answer: -800

Step-by-step explanation:

-2(12+8)^2

-2(20)^2

-2(400)

-800

(i think)

The number of people living in a town t years from now is P, where
p₀ = 42000
P i₊₁ = 1.02 (Pt - 550)
Work out the number of people in the town 3 years from now.

Answers

The population of a town t years from now is given by the formula[tex]P_{t+1} = 1.02(P_t - 550)[/tex]. The current population is 42,000, so there will be approximately 44,031 people in the town 3 years from now.

We are given that the population of the town t years from now is given by the formula

[tex]P_{t+1} = 1.02(P_t - 550)[/tex]

We know that the population of the town is currently 42,000, so we can use this to find the population of the town 1 year from now

P₁ = 1.02(P₀ - 550)

= 1.02(42000 - 550)

= 42669

So there will be 42,669 people in the town 1 year from now.

We can now use this to find the population of the town 2 years from now

P₂ = 1.02(P₁ - 550)

= 1.02(42669 - 550)

= 43349.18 (rounded to 2 decimal places)

So there will be approximately 43,349 people in the town 2 years from now.

Finally, we can use this to find the population of the town 3 years from now

P₃ = 1.02(P₂ - 550)

= 1.02(43349.18 - 550)

= 44031.45 (rounded to 2 decimal places)

So there will be approximately 44,031 people in the town 3 years from now.

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Write the equation of the line in fully simplified slope-intercept form.



I dont know what im doing wrong

Answers

The equation of the straight line in fully simplified slope-intercept form: [tex]y = 2x-6[/tex]

What is straight line?

A straight line is just a straight line with no bends. A straight line is one that has no bends and continues to infinity on both sides.

A straight line's equation is y=mx+c, where m is the gradient and c is the height at which the line crosses the y axis, commonly known as the y -intercept.

The drawn line cut the x-axis at (3,0) and y-axis at (0,-6)

So, the equation of line is:

    [tex]\frac{x}{3} + \frac{y}{-6} = 1[/tex]

or, [tex]\frac{x}{3} - \frac{y}{6} = 1[/tex]

or, [tex]\frac{2x-y}{6} = 1[/tex]

or, [tex]2x-y =6[/tex]

or, [tex]y = 2x-6[/tex]

Thus, slope-intercept form is: [tex]y = 2x-6[/tex]

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Select 3 correct and answer?

___ l

___ m

___ n

___ j

___ no lines are parallel

___ Corresponding Angles Converse

___ Alternate interior Angles Converse

___ Alternate Exterior Angles Converse

___ Consecutive interior Angles Converse

Answers

These sentences are correct among all the given sentences & in terms of a given diagram.

 Corresponding Angles Converse

 Alternate interior Angles Converse

 Alternate Exterior Angles Converse

What are the corresponding angles?

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance. In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.

We have,

no lines are parallel

Corresponding Angles Converse

Alternate interior Angles Converse

Alternate Exterior Angles Converse

Consecutive interior Angles Converse

By considering the given diagram the correct sentences are:

 Corresponding Angles Converse

 Alternate interior Angles Converse

 Alternate Exterior Angles Converse

Hence, these sentences are correct among all the given sentences & in terms of a given diagram.

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Answer:

Line l is parallel to line n.

Alternate interior angle converse.

Step-by-step explanation:

Angles 8 and 19 are alternate interior angles of lines l and n cut by transversal k.

Since angles 8 and 19 are congruent, then by alternate interior angle converse, lines l and n are parallel.

PLEASE ANSWER AT LEAST 1. IF YOU ANSWER 2 I WILL GIVE BRAINEST, THANKS, 5 STARS, AND EXTRA 50 POINTS! 20 POINTS FOR EACH QUESTION ANSWERED. PLEASE HELP!!!

1. A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3. If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?

2. The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?

3. If the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m, what is the value of B, the area of the base?

4. What is the volume of a rectangular prism with a length of 15 yards, a width of 8 yards, and a height of 5 yards?

5. A teacher purchased a fish tank for her classroom. The dimensions of the tank are 36 inches by 60 inches by 48 inches. What is the maximum amount of water that the tank can hold?

Answers

Answer:

2nd ones answer is 13.5 m.

4th ones answer is 600 yard³.

5th ones answer 86400 cm³/m³

Please give 20 point for each question.

6 less than the product of 10 and a number

Answers

Answer:

To write this as a sentence, it would be:

10x-6

Step-by-step explanation:

Hope this helps! HAVE A GREAT DAY! :D

Answer:

10(n) - 6

Step-by-step explanation:Spell it out:

6 less = -6

THAN the product of 10 and a number

(We can represent a number as n). (Product = multiplication).

10 x n

10(n) - 6

Solution:

10(n) - 6

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

50 points! Which expression is equivalent to 7(y - 4)? * 1 point
7y - 28
7y - 4
3y
7y - 3
I have to explain also!

Answers

The answer is 7y - 28. You use the distributive property. So you multiply 7 and y and multiply 7 and -4. Therefore the answer is 7y - 28

PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ

Answers

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3                      2 + (-2)

--------------      ,       ----------------

     2                               2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

Linear equations by graphing y=3/4x-4 y=-1/2x+11

Answers

The solution to the linear equations y=3/4x-4 and y=-1/2x+11, as shown in the graph in the attachment is: (12, 5).

How to Find the Solution to a System of Linear Equations by Graphing?

If the lines that represent the linear equations of a system are graphed, the coordinates of x and y of the point where the two lines intersect is the solution to the system of linear equations.

Given the equations, y = 3/4x - 4 and y = -1/2x + 11, the line of y = 3/4x - 4 is the red line in the image attached below which has a slope of 3/4 and a y-intercept of -4, while the line of y = -1/2x + 11 is the blue line that has a slope of -1/2 and has a y-intercept of 11.

The graph also shows that the lines of both linear equations intersect at (12, 5).

Therefore, the solution to the linear equations is:

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Pls help me with this u will get 40 brainly points plsssss

Answers

Using the attached process, the square roots and cube roots are estimated as follows:

1. √15 = 3.81

2. √44 = 6.6.

3. √81 = 9

4. ∛12 = 2.88.

5. ∛125 = 5

6. ∛320 = 6..8

2)The mistake made by Jan is in the place of 17cm we get 13cm by sing Pythagorean theorem. Therefore, perimeter is 30cm.

3) The error of Joshua is that he miscalculated the third length of the triangle.

From the Pythagorean theorem, we have learned that a²+b²=c²

What is Pythagorean theorem?

In mathematics, the Pythagorean Theorem  is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The attachment depicts the procedure we will use.

The first step is to make a list of all the perfect squares from 1 to 100, followed by all the perfect cubes from 1 to 1000.

1 to 100 perfect squares; 4, 9, 16, 25, 36, 49, 64, 81, 100

1 to 1000 perfect cubes; 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

1) √15

The perfect squares that are nearest are 9 and 16.

√9 < √15 < √16

⇒ 3 < √15 < 4

Now, √15 is between 3 and 4.

We can estimate √15  as 3.81

2) √44

The perfect squares that are nearest are 36 and 49.

√36 < √44 < √49

⇒ 6 < √44 < 7

Now,√44 is between 6 and 7.

So, we can estimate √44 as 6.6

3) √81

Because this is a perfect square, the approach used to estimate non-perfect squares does not apply. Thus;√81 = 9

4) ∛12

The perfect cubes that are nearest are 8 and 27

Thus; ∛8 < ∛12 < ∛27

⇒ 2 < ∛12 < 3

Now,√12 is between 2 and 3.

So, we can estimate ∛12 as 2.88.

5) ∛125

Because this is a perfect cube, the approach used to estimate non-perfect squares does not apply. Thus;∛125 = 5

6) ∛320

The perfect cubes that are nearest are 216 and 343

Thus; ∛216 < ∛320 < ∛343

⇒ 6 < ∛320 < 7

Now, ∛320 is between 6 and 7.

So, we can estimate ∛320 as 6..8

2) Perimeter of the triangle=L+L+L

Given, Perimeter=5cm+12cm+17cm

=34cm

The mistake he made wrong is,

By using Pythagorean theorem,

√a²+b²=c²

√5²+12²=c²

√25+144=c²

√169=c²

13=c

Therefore, perimeter of the triangle is 5cm+12cm+13cm=30cm

3) First we calculate the third length of the triangle x.

As the triangle is a right triangle we use Pythagorean theorem.

x²=7²+7²

x²=2(7²)

Squaring on both sides, we get

x=√2(7²)

x=7√2

The other shape in the given figure is square.

Therefore the perimeter P is given by,

P=7+x+x+x+7

So, P=7+7√2+7√2+7√2+7

P=14+21√2

Hence, the error of Joshua is that he miscalculated the third length of the triangle.

From the Pythagorean theorem, we have learned that a²+b²=c².

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Find the missing number.
n/5 = 7/8

Answers

Answer:

3!

Step-by-step explanation:

Hope this helped ! :D

What are the minimum and maximum of values of t for which |t+3|≤2 ?

Answers

Answer:

Minimum Value: -5

Maximum Value: -1

Interval is [-5, -1]

Step-by-step explanation:

In math the absolute rule for a function f(x) = |x| ≤ a means that the range of values for x can be -a ≤ x ≤ +a

Use |t+3| instead of x in the above rule with a = 2

|t + 3| ≤ 2

⇒ -2 ≤ t + 3 ≤ 2


Subtract 3 from all parts
⇒            -2 - 3 ≤ t + 3 -3 ≤ 2 - 3
This gives

-5 ≤ t ≤ -1

which are the limits for t.

In interval notation this is
[-5, -1]
Minimum Value:   - 5
Maximum Value:  - 1

Select 3 side lengths that can form a right triangle. I WILL GIVE BRAINLIST!! QUICKLY
(its mulit choice so u can pick more then 1)
12
14
16
30
32
34

Answers

The 3 side lengths that can form a right triangle are 16, 30, 34

What is a right triangle?

A right triangle (American English) or right-angled triangle (British), or more formally an orthogonal triangle, historically known as a rectangle triangles, is a triangle with one angle that is a right angle (that is, a 90-degree angle), i.e., two sides that are perpendicular.

The hypotenuse is the opposite side of the right angle (side c in the figure). Legs are the sides adjacent to the right angle. Side an is the side adjacent to angle B that is opposed to (or opposite) angle A, whereas side b is the side adjacent to angle A that is opposed to (or opposite) angle A.

By checking the three sides of a triangle are:

16, 30, 34

By using Pythagorean theorem,

√a²+b²=c²

=√16²+30²=34²

=1156=1156

Therefore, the 3 side lengths that can form a right triangle are 16, 30, 34

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Cuántos metros cuadrados mide la superficie de un salón de fiestas infantiles con forma de rombo cuyas diagonales miden 12 y 18 metros

Answers

The area of the rhombus is 108m²

Surface Area of Rhombus

The area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space. A rhombus is a type of quadrilateral projected on a two dimensional (2D) plane, having four sides that are equal in length and are congruent.

The formula of a rhombus is given as

A = (d₁ * d₂) ÷ 2

where d₁ and d₂ are the diagonals

d₁ = 12m

d₂ = 18m

A = (12 * 18) / 2

A = 108m²

The area is 108 squared meter

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Translation: How many squared meters does the surface of a rhombus-shaped children's party room whose diagonals measure 12 and 18 meters?

the 28. Wendy has 2 blouses (blue and white), 2 shorts (blue and white) and 2 hats (blue and white). How many different outfits can be assembled? A. 8 B. 10 C. 6 D. 4






i don't know the answer can someone please help me out it will really help me alot thank you.​

Answers

Answer: A. 8

Step-by-step explanation: Draw it out like 1 white hat and 1 blue hat

                                                                        1 white blouse    1 blue blouse                                                            

                                                                       1 white short       1 blue short

1 white hat with a blue or white blouse and 1 white short or blue so 4 in total outfits by counting with the hat and the same for the other hat. so 8 outfits. I hope you get my logic :)

                                                                           

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