You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio? (round to the nearest whole number , if needed )

Answers

Answer 1

Considering the volume of the rectangular prism, you will need 2240 bags will be needed for the patio.

What is the volume of a rectangular prism?

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the dimensions are:

l = 14 ft, w = 12 ft, h = 8 ft.

Hence the volume is:

V = 14 x 12 x 8 = 1344 ft³

Each bag yields 0.6 ft³, hence the number of bags is:

n = 1344/0.6 = 2240 bags.

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Related Questions

Please help me with this on the picture.

Answers

Answer:

year 7 mean: ≈7.714

year 8 mean: 14

Step-by-step explanation:

mean = sum / number of observations

number of observations = 5, as there are 5 bars for each year

year 7 is the bar on the left for each day

observations for year 7:

5, 8, 9, 13, 19 (left to right)

sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7

mean for year 7 = 54 / 7 ≈ 7.714

observations for year 8 (left to right):

10, 11, 18, 12, 19

sum = 10 + 11 + 18 + 12 + 19  = 70

mean = 70 / 5 = 14

Which of the following is correct based on this picture? A. none of these are correct B. sinZ=61/73 C. cosZ=61/73 D. tanZ=61/73

Answers

Answer:

C.) cosZ=61/73

Step-by-step explanation:

I hope you got the answer

Which of the following is a solution to the equation ¾x-12=-18?

4.5
-22.5
-40
-8

Answers

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

                     We have the equation [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x-12=-18}}[/tex].

                     First we should add 12 to both sides of the equation.

                     [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-18+12}}[/tex]. Simplify

                    [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-6}}[/tex].

                   This done, let's multiply the equation by 4. You'll see why

                   [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{\not4}x\times\not4=-6\times4}}[/tex]

                   Did you see how on the left, the 4's cancelled? That's

                   because dividing by 4 and then multiplying the same

                   number, or the result, by 4, are operations that undo each

                   other.

                   This being said, let's finish solving this equation in terms of x

                   [tex]\large\boldsymbol{\sf{3x=-24}}[/tex]. See how this works?

                  Now, remember that we ought to use inverse operations

                  to solve for x. These are operations that undo each other.

                  So if x is multiplied by 3, we should... divide by 3!

                  Also, please keep in mind that we can only divide the left side

                  by 3 if we divide the right side by 3.

                 [tex]\large\boldsymbol{\sf{\displaystyle\frac{3x}{3}=\displaystyle\frac{-24}{3}}}[/tex]. Once again the 3s on the left cancel, leaving

               x. Wait! Isn't that what we wanted? Yepp, sure!

               The right side is now -8. Thus,

               [tex]\large\boldsymbol{\sf{x=-8}}[/tex]

                 [tex]\orange\hspace{300pt}\above3[/tex]

Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721.

Answers

The coefficient of determination is calculated as: 0.520.

How to Find the Coefficient of Determination?

The coefficient of determination = the square of the correlation coefficient.

Given the following:

Value of the linear correlation coefficient (r) = -0.721

Therefore, we would have:

The coefficient of determination = (-0.721)²

The coefficient of determination = 0.520

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3. What is the measure of angle HEK in this figure?

95
55
85
150​

Answers

Answer:

95 is the correct answer

Step-by-step explanation:

The initial or beginning side is H.  Look on the protractor and you will see the top number is 55 degrees.  That is where we start.  Now, go to line E, that is where we end.  The top number is 150.  To find <HEK, we need to subtract 55 from 150 to get 95.

Richard wants to purchase a Jeep. The purchase price of the Jeep is $ 42 , 000. The dealership will allow him to pay cash or finance the Jeep with a down payment of $ 4 , 000. and 72 monthly payments of $ 680. Richard chose to finance the jeep.

Answers

It will take him around 56 months to finish off his payment if he puts a down payment of 4,000 and pays $680 a month

Answer:

Good for him for buying a Jeep

Step-by-step explanation:

Simplify: √36x² if x is less than or equal to 0

Answers

Answer:

[tex]-6x[/tex]

Step-by-step explanation:

[tex]\sqrt{36x^2} = 6\times\sqrt{x^2}\\\\=6\times-x\\\\=-6x[/tex]

If
f(x) = 2x² - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [?]x² + [?]x + [?]

Answers

Answer:

f(g(x)) = 50x² + 140x + 93

Step-by-step explanation:

f(g(x)) means that within the f(x) equation, you want to replace all of the x variables with the g(x) equation.

So,

f(g(x)) = 2 (5x+7)² -5

= 2 ( 25x²+ 70x + 49) - 5

= 50x² + 140x + 93

:)

Please solve this question

Answers

Answer:

a) 0.2098

b) 0.036

c) 0.1866

d) 0.9849

Step-by-step explanation:

Image is color coordinated for each part below,

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WHAT IS THE CORRECT ANSWER ANSWER ASAP

Answers

Answer:

d

Step-by-step explanation:

translate the sentence into an equation rhoda's score decreased by 10 is 51 use r to represent rhoda's score

Answers

Answer: r - 10 = 51

Step-by-step explanation:

Solve the system of equations.


y+4z=0
4x+y-2z=2
-3x-3z=-9

Answers

Step-by-step explanation:

y+4z=0

4x+y-2z=2

-3x-3z=-9

Answer:

x = 7/3y = - 8/3z = 2/3

Step-by-step explanation:

y + 4z = 0

4x + y - 2z = 2

____________ -

- 4x + 6z = - 2

- 4x + 6z = - 2 → times 3 → - 12x + 18z = - 6

- 3x - 3z = - 9 → times 4 → - 12x - 12z = - 36

- 12x + 18z = - 16

- 12x - 12z = - 36

______________ -

30z = 20

z = 20/30

z = 2/3

y + 4(2/3) = 0

y + 8/3 = 0

y = - 8/3

- 3x - 3z = - 9

- 3x - 3(2/3) = - 9

- 3x - 6/3 = - 9

- 3x - 2 = - 9

- 3x = - 9 + 2

- 3x = - 7

x = - 7/- 3

x = 7/3

Equation P: a + b = 6
Equation Q: 4a + 2b = 19

Which of the following steps can be used to eliminate the a term?

−1(4a + 2b = 19)
−4(4a + 2b = 19)
−4(a + b = 6)
4(a + b = 6)

Answers

Answer:

-4(a + b = 6)

Step-by-step explanation:

When you multiply equation P by -4, you obtain -4a - 4b = -24. You can then add this equation to equation Q to eliminate the a term.

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?

Answers

Answer:

  6

Step-by-step explanation:

The equation of the line is written in the slope-intercept form:

  y = mx +b

where m is the slope and b is the y-intercept.

Matching patterns

The given equation is ...

  y = 6x -9

Comparing this to the slope-intercept form, we see that ...

  m = 6

  b = -9

The slope of the line is m = 6.

A beekeeper’s hives are making honey at a constant rate. The profit from honey can be represented by the equation

P(t) = -16t2 + 2050t + 150, where t is the time in days and P(t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

Answers

Using the vertex of a quadratic function, she should harvest her honey after 64 days to maximize profit.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

The profit function is given as follows:

P(t) = -16t² + 2050t + 150.

The coefficients are a = -16 < 0, b = 2050, c = 150, hence the t-value of the vertex is:

[tex]t_v = -\frac{b}{2a} = -\frac{2050}{-32} = 64[/tex]

Hence she should harvest her honey after 64 days to maximize profit.

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Ten copper pennies having a total mass of 25 grams warm up from 23oC to 38oC as you hold in your hand. If the specific heat capacity of copper is 0.39 J/(g *oC), how much energy is absorbed by the pennies?

Answers

The amount of energy absorbed by the pennies made up of copper is 146.25J

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Amount of energy absorbed = mass * temperature change * specific heat capacity

Amount of energy absorbed = 25 * (38 - 23) * 0.39 = 146.25J

The amount of energy absorbed by the pennies made up of copper is 146.25J

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While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices.

Masterful Pocket Watches: Standard deviation of stock prices =$9.83
Eye Remember Enterprises: Standard deviation of stock prices =$1.15

Based on the data and assuming these trends continue, which company would give Donna a stable long-term investment?

a} eye remember enterprises; the smaller deviation indicates that eye enterprises have less variability in its closing prices than masterful pocket watches.

b}masterful pocket watches; the larger standard deviation indicates that masterful pocket watches have less variability in its closing prices than eye remember enterprises.

c} eye remember the enterprises; the smaller standard deviation indicates that eye remember enterprises has a greater mean closing price than masterful pocket watches.

d}masterful pocket watches; the larger standard deviation indicates that masterful pocket watches have a greater mean closing price than eye remember enterprises.

Answers

The data and assuming shows that the company that would give Donna a stable long-term investment is A. eye remember enterprises; the smaller deviation indicates that eye enterprises have less variability in its closing prices than masterful pocket watches.

How to illustrate the information?

It should be noted that the information given implies that Donna needs a stable long term investment.

In this case, it's appropriate that the company that has the less standard deviation should be chosen.

This illustrates that Perfect Plungers has less variability.

In conclusion, the correct option is A.

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the eastern alberta DC transmission like is a project that began construction in 2012. It includes a 500km, 500kv power line from the brooks area to the edmonton area. (the V stands for volts, and SI unit for the electrical potential)

Answers

The number of the required towers based on the information given is 3334.

How to calculate the number?

From the information given, it should be noted that the length of power line is 500km

The towers supporting the line are 1.5hm apart. It should be be noted that 1km = 10hm. Therefore, the require towers will be:

= (500 × 10)/1.5

= 3334

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Slope is given by the formula

Answers

Answer:

A

Step-by-step explanation:

Answer

You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.

Answer: the answer is A slope = rise / run

Using a supply and demand graph for gasoline starting at an equilibrium price of $5.00 per gallon and a quantity of 20
gallons, show the effect of a government price ceiling on gasoline of $2.50 a gallon. Is this a binding price ceiling? Why
or wy not? Please explain.

Answers

Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.  

3. As  price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.

What is Binding Price Ceiling?

A binding price ceiling is one that often takes place if the government are known to have set up a  standard price on a good or goods at a specific price that is below equilibrium.

Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

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The surface area of an open-top box with length
L
, width
W
, and height
H
can be found using the formula:

A
=
2
L
H
+
2
W
H
+
L
W


Find the surface area of an open-top box with length 4 cm, width 8 cm, and height 5 cm.

Answers

Answer:

Surface Area is equal to 160 cm²

here is your answer

The product of a number and the sum of six and five is equal to the sum of the number and thirteen. What is the number?

Answers

The number is 13 / 10

How to solve words problem using equation?

The product of a number and the sum of six and five is equal to the sum of the number and thirteen.

Therefore,

let the number  = x

x(6 + 5) = x + 13

Hence,

x(6 + 5) = x + 13

11x = x + 13

11x - x = 13

10x = 13

x = 13 / 10

Therefore, the number is 13 / 10

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Linear function model

Answers

Answer:

f(x) = 800 - 75x

Step-by-step explanation:

Rachel took a loan of 800 dollars | Money Owed: f(x) = 800

She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x

Aisha has a health insurance policy with an 80/20 coinsurance and deductible of $3,200. She has met 45% of her deductible before having
some tests done. Given the cost of her tests below, how much will she pay?
Bill #1- Blood Test = $345.25
Bill #2 - Allergy Test = $175.00
Bill #3- MRI = $920.65
Select one:
O a. $319.10
O b. $1,440.90
O c. $3,200.00
O d. $1,760.00

Answers

The payment for the test based on the information about the insurance will be B. $1440.90.

How to compute the value?

The cost for the payment will be:

= Blood test expenses + Allergy test - MRI expenses

= $345.25 + $175.00 + $920.65

= $1440.90

Therefore, the payment for the test based on the information about the insurance will be $1440.90

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Which diagram represents rx ◦ RO,180°?

Answers

Answer:

if this is for edge unity the answer is B

Select the correct answer.
Consider the graph of function f below.
Y
-8 -4
8+
O
A
O
4
-4-
-8
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
4 8
O g(x)=f(x) + 4
g(x) = f(x-4)
g(x) = f(x) - 2
Og(x)=f(x + 2)

Answers

Answer:

742

Step-by-step explanation:

4x203

Therefore , the solution of the given problem of function comes out to be g(x) is given by g(x) = (x-4)² + 6

What is function ?

A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input.

Here, we have,

Given the graph of the original function f(x), whose vertex is at (0, 0), and indeed the graph of the translating function g(x), whose vertex is at (0, 0), (5, 2).

Be aware that the translated function's vertex is 2 units higher and 5 units to the right of the f graph's graph (x).

The function f(x) is then translated 5 units toward the right и 2 units up to arrive at g(x).

Recall that provided a function, f(x), is characterized as a parabola with a vertex at (h, k).

=> f(x) = (x-h)² + k

The outcome of translating a unit to the right with b unit up is

=>f'(x) = (x-h-a)² + k + b

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1. a. Determine the equation of a parent function for the parabola that has zeros 1,-5.
Determine the member equation that passes through the point (-2,-36)

Answers

The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

What is a Parabola ?

Parabola is a U shaped figure , whose all points are at a fixed distanced from a point called as focus and a line called as Directrix.

It is given that

The zeroes of the parabola is 1,-5.

The equation of the parabola is given by

y = a( x - x')(x-x'')

y = a( x-1)( x+5)

This is the equation for the parent function for the parabola

The parabola passes through the point ( -2 , -36 )

-36 = a( -2 -1)(-2+5)

-36 = (-3) * (3) a

-36 = -9 a

a = 4

y = 4 ( x-1)(x+5)

The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

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how do i find x?? whats the answer?

Answers

Through proportionality theorem.

Therfore [tex] \frac{ 11}{121} = \frac{10}{5x + 10} \\ \\ 11(5x + 10) = 121(10) \\ (5x + 10) = \frac{121(10)}{11} \\ 5x + 10 = 110 \\ 5x = 110 - 10 \\ 5x = 100 \\ \frac{5x}{5} = \frac{100}{5 } \\ x = 20cm[/tex]HOPE THIS HELPS!

Solve 10x=3
how do i take logarithms on both sides?​

Answers

10x=3
3/10=x
3/10=0.3
X=0.3

Answer:

x ≅ 0.477.

Step-by-step explanation:

You probably meant:

[tex]10^x = 3.[/tex]

If that is the case, then let's solve it:

[tex]10^x = 3\\\\log\,10^x=log\,3\\\\x = log\,3\\\\x = (approx.)\,\,0.477.[/tex]

2. For the following data, calculate the z-score. (5 points)
a. Sierra wishes to enroll her son in an exclusive academy. Her son must
score an 107 on their aptitude test in order to be accept. Calculate the z-
score for a score of 107 based on the data provided.
Score (Y) = 107
Mean = 95
Standard Deviation = 7.5
hint: Use the z-score formula to convert 107 into a z-score

Answers

The z-score for a score of 107 is 1.6

How to determine the z-score?

The given parameters are:

Score (Y) = 107Mean = 95Standard Deviation = 7.5

The z-score is calculated using:

[tex]z = \frac{x -\bar x}{\sigma}[/tex]

So, we have:

[tex]z = \frac{107 -95}{7.5}[/tex]

Evaluate the difference

[tex]z = \frac{12}{7.5}[/tex]

Divide

z = 1.6

Hence, the z-score is 1.6

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Show that the 4 points form a square. A. DA = AB = BC =CD = 32 DB = AC =8 B. DA = AB = BC = CD = 32 C. DB = AC =8 D. DA = AB = BC = CD = 7 DB = AC = 8 Find an equation of rational function that has vertical asymptotes at x = 3 and x =-5, horizontal asymptote at y = 0, and y intercept of 1. Calculate the focal length of a spherical mirror whose radius of curvature is 25 cm 7x + 3x - 4 X= -2 Marigold Company sells merchandise on account for $4200 to Ivanhoe Company with credit terms of 2/10, n/30. Ivanhoe Company returns $1100 of merchandise that was damaged, along with a check to settle the account within the discount period. What is the amount of the check Graph the following features:Slope = -7/5Y-intercept = 1 A card is picked at random from a standard deck of cards. what is the sample space for this experiment if you were trying to find p(face card)? a. sample space = 12 b. sample space = startfraction 3 over 13 endfraction c. sample space = startfraction 12 over 52 endfraction d. sample space = 52 Which of the following is equal to(xy)*(xyz)148 36(xy)(xyz)x-12-18? "Dave", the feathered lizard fossil is thought of as a(n) ______________________ species, or an organism that may represent a common ancestor shared by different but related lineages of organisms How do you write 0.000003939 in scientific notation? A word that begins with an adverbial clause is what The distinction between a condition precedent and a condition subsequent a. is important because it determines whether the burden of proof is beyond a reasonable doubt or preponderance of the evidence. b. is important because it determines whether the condition must be express or whether it can be implied. c. seldom arises in insurance cases. d. determines who has the burden of proof PLEASE HELP NOW help The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for each puppet. How many puzzles and puppets will each one have after they complete their trade Given that a bag of skittles has 15 blue candies, 16 orange candies, 12 yellow, 14 red, and 5 green candies, find the following probabilities. In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB. Find the x to the nearest tenth using this picture. There are two stable isotopes of carbon, carbon -12and carbon - 13. Carbon -12has a mass of exactly12amu, and carbon -13has a mass of13.003amu. The average atomic mass of carbonis12.011 amu. What does this tell you about therelative abundances of the two isotopes?a. Carbon -12is more abundant than carbon13because the average atomic mass is closerto the mass of carbon12b. There is not enough information todetermine anything about the relativeabundances of the two isotopes.c. Carbon13is more abundant than carbon12because the average atomic mass is closerto the mass of carbon13d. Carbon12and carbon -13are equally abundant find the value of each variable in the parallelogram which equation would match the table the most?? pls help