If a pool deck of 650 square feet is to be laid with concrete 3" thick, what volume of concrete will have to be poured in cubic yard? ( round to the nearest cubic yard)

Answers

Answer 1

Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,

3 inches = 0.25 foot

If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,

Volume of concrete = 650 ft² × 0.25 ft = 162.5 ft³

Now, one yard is equal to 3 feet, therefore,

1 cubic foot = 1/27 cubic yards

162.5 cubic feet = 6.0185 cubic yards

Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

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Related Questions

If 2x/7 divided by 1=0 then what will be value of x is

Answers

The value of x = -3/2 .

What is an Equation ?

An equation is a mathematical statement that relates unknown variable to constants to determine their value.

The equation given is

(2x+3 ) / 7 Divided by 1 = 0

2x +3 = 0

2x = -3

x = -3/2

Therefore the value of x = -3/2 .

The complete equation is

(2x+3)/7

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5) Solve the simultaneous equations log(x+y)=0 Solve the simultaneous equations 2logx=log(y+1)​

Answers

Answer:

(1,0)

Step-by-step explanation:

Since log (x+y) = 0        you should know  x+y = 1

                                            so y = (1-x)

then   2 logx = log (y+1)

          log x^2 = log (1-x   +1) = log (2-x)

                x^2 = 2-x

                 x^2 + x-2 = 0

                 (x+2)(x-1) = 0      so x = -2  or   +1

                                               then y = 3  or 0

-2,3    and   1,0       since you cannot have a log of a negative number

                                     the only answer is (1,0)  

Clasify each polynomial based on the number of terms it contains

Answers

Answer:

Monomial - one term
Binomial - two terms
Trinomial - three terms
Polynomial - any polynomial with more than three terms

Brainliest, please :)

please help me with this math problem

will mark brainiest

Answers

Using the given exponential function, the age of the skull is 6,733 years old.

What is the exponential function for the skull's amount?

It is given by:

[tex]N(t) = N(0)e^{-kt}[/tex]

In which:

N(0) is the initial amount.k is the decay rate.t is the time in years.

In this problem, the parameters are given as follows:

N(t) = 0.51N(0), k = 0.0001.

Hence we solve for t to find the age.

[tex]N(t) = N(0)e^{-kt}[/tex]

[tex]0.51N(0) = N(0)e^{-0.0001t}[/tex]

[tex]e^{-0.0001t} = 0.51[/tex]

[tex]\ln{e^{-0.0001t}} = \ln{0.51}[/tex]

[tex]-0.0001t = \ln{0.51}[/tex]

[tex]t = -\frac{\ln{0.51}}{0.0001}[/tex]

t = 6,733 years old.

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The question is down below

also I home school and have permission to post this question

Answers

Answer:

  2448 ft²

Step-by-step explanation:

The surface area of the triangular prism is the sum of the areas of the triangular bases and the lateral area of the rectangular faces.

Base area

The two right triangle bases together form a rectangle that is 24 ft wide and 18 ft tall. The total base area is ...

  A = (24 ft)(18 ft) = 432 ft²

Lateral area

The rectangular faces of the prism are each 28 ft wide and have a total width of 18 +24 +30 = 72 ft. Their total area is ...

  LA = (28 ft)(72 ft) = 2016 ft²

Total surface area

The sum of the base area and lateral area is ...

  total area = (432 ft²) +(2016 ft²) = 2448 ft²

The surface area of the triangular prism is 2448 ft².

__

Additional comment

The area formula for the triangular base is ...

  A = 1/2bh . . . . . . area of one triangle with base b and height h

Then the area of the two congruent triangular bases is ...

  A = 2(1/2bh) = bh

This is the formula we used above. It skips the work of dividing by 2, then multiplying by 2 again.

NO LINKS!!!! What is the transformation of f (x)= x^3:

PART 4:

THIS IS NOT MULTIPLE CHOICE!!!!

10. f(x)= (x+5)^3

11. f(x)= (1/5x)^3


12. f(x)= (-x)^3​

Answers

Answer:

10.  Left 5

11.   Horizontal stretch by a factor of 5

12.  Horizontal reflection

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Identify the transformations that take the parent function to the given function.

Question 10

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(x+5)^3[/tex]

Comparing the parent function with the given function, we can see that 5 has been added to the x-value of the parent function.

Therefore, the transformation is:

[tex]f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}[/tex]

Question 11

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=\left(\dfrac{1}{5}x\right)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by ¹/₅.

Therefore, the transformation is:

[tex]y=f\left(\dfrac{1}{5}x\right) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{\frac{1}{5}}[/tex][tex]\textsf{As }\dfrac{1}{\frac{1}{5}}=5 \implies \textsf{horizontal stretch by a factor of 5}[/tex]

Question 12

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(-x)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by -1.

Therefore, the transformation is:

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

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Analyze and sketch the polynomial functions and complete the charts below. State the degree and sign of the leading coefficient of the polynomial functions. Determine the end behavior of the graph of the functions. For 5b, write the polynomial function as a product of linear factors (in factored form).

a. f(x) = –7(x + 2)^3(x – 1)^2(x – 3) Zeros Multiplicity Crosses/Touches
Degree Sign

End behavior

b. m(x) = x^3 – 4x^2
Factored form: m(x) =

Degree Zeros Multiplicity Crosses/Touches
Sign End behavior

Answers

See below for the properties of the functions

How to analyze the functions?

The function f(x)

We have:

f(x) =  –7(x + 2)^3(x – 1)^2(x – 3)

From the graph, we have the following features:

Leading coefficient: Negative, because -7 is negativeZeros: x = -2 at multiplicity = 3, x = 1 at multiplicity = 2 and x = 3 at multiplicity = 1Crosses = 2Touches = 3End behavior = [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex]

The function m(x)

We have:

m(x) =  x^3 - 4x^2

Factor out x^2

m(x) = x^2(x - 4)

Factor out x

m(x) = x(x)(x - 4)

From the graph, we have the following features:

Leading coefficient: PositiveZeros: x = 0 at multiplicity = 2, x = 4 at multiplicity = 1Crosses = 1Touches = 1End behavior = [tex]\mathrm{as}\:x\to \:+\infty \:,\:m\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:m\left(x\right)\to \:-\infty \:[/tex]

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A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the travel time. What was the average rate, in miles per hour, of the rail portion of the trip?

A. 71 B. 73 C. 74 D. 75

Answers

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

How to calculate the average speed?

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

(1/3) * (90) = 30 miles

We are told that part of the trip took 1/5 of the travel time. Thus;

Time it takes to travel that distance is:

(1/5) * (2) = 2/5 of an hour

Average rate is;

30/(2/5) = 150/2 = 75 mph

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Could someone help me out?

Answers

The required value of [tex]\lim_{h \to0 \zero} 46x^11+32xh^3+6x^15h+23[/tex] is  [tex]46x^11+23[/tex]

What is limit?

Limit, can be defined as the every nearby  the value of a variable for a function exists, is called limits|

[tex]\lim_{h \to0 \zero} 46x^11+32xh^3+6x^15h+23[/tex]

When putting  h = 0


⇒  [tex]46x^11+23[/tex]

Thus, the value of a function of its limit is given by [tex]46x^11+23[/tex]

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What is the value of x in the triangle?

Answers

The value of x in the right triangle is 4 units.

How to find the side of a right triangle?

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x  /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

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The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? –4 –2 20 22

Answers

Answer:

22

Step-by-step explanation:

Hello!

We can convert it into slope-intercept form.

Slope - Intercept Form: [tex]y = mx +b[/tex]

m = slopeb = y-intercept

Converty - 1 = -7(x - 3)y = -7x + 21 + 1y = -7x + 22

The y-intercept of the line is 22.

The value of [tex]\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)-\sin ^{-1}\left(\frac{1}{2}\right)[/tex] is​

Answers

Answer:

[tex]\displaystyle \frac{\pi}{6}[/tex]

Explanation:

According to the unit circle, [tex]\displaystyle \frac{\pi}{3}[/tex] and [tex]\displaystyle \frac{\pi}{6}[/tex] are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:

[tex]\displaystyle \boxed{\frac{\pi}{3}} = \frac{\pi}{3} - \frac{\pi}{6}[/tex]

I am joyous to assist you at any time.

b) The resale value of a piece of industrial equipment has been found to behave according to the function V=700,000e-0.02t.
i) What was the original value of the piece of equipment

Answers

The original value of the piece of equipment is 700000

How to determine the original value?

The resale value is given as:

V=700,000e^(-0.02t)

The original value is when t = 0.

So, we have:

V=700,000e^(-0.02 *0)

Evaluate the product

V=700,000e^0

This gives

V=700,000 * 1

Evaluate

V=700000

Hence, the original value of the piece of equipment is 700000

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4 rows with circles and triangles, left to right. Row 1, circle, triangle, 2 circles, triangle. Row 2, triangle, circle, 2 triangles, circle, triangle. Row 3, circle, 2 triangles, circle, triangle. Row 4, triangle, 2 circles, 2 triangles. The ratio of the number of circles to the number of triangles in simplest form is . The number of circles that need to be added to make the ratio 1 : 1 is .

Answers

The ratio of circle to triangles is; 3:4 and the number of circles which should be added to make the ratio 1:1 is; 3.

What is the ratio of circles to triangles?

It follows from the task content that the total number of circles and triangles in all 4 rows and can be counted and concluded as; 9 and 12 respectively.

Hence, the ratio of circles to triangles is 9 to 12 and in its simplest form is; 3:4.

However, to make the ratio 1:1, the number of circles and triangles must be equal. Hence, 3 circles must be added to make the ratio 1:1.

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Which statements are true about exponential functions? Check all that apply.
The domain is all real numbers.
The range always includes negative numbers.
The graph has a horizontal asymptote at x = 0.
The input to an exponential function is the exponent:
The base represents the multiplicative rate of change.

Answers

Domain is all real numbers
The input to an exponential function is the exponent
The base represents the multiplicative rate of change

Answer:

edge 2023

Step-by-step explanation:

A D E (dudes above me right js making it easier)

the data represented by the following stem-and-leaf plot range from to .
4|578
5|14
6|023
7|69

A. 45,76
B. 48,79
C. 45,79
D. 48,76

Answers

Considering the stem-and-leaf plot, the range of the data-set is given as follows:

C. 45,79

What is an stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key format, the smallest value in this problem is 4|5 = 45, and the highest is 7|9 = 79, hence the range is given by:

C. 45,79

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If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?

Answers

The coefficients [tex]a_0,a_1,a_2,a_3[/tex] could be chosen to be the coefficients in the Maclaurin series of [tex]\sin(x)[/tex].

We have

[tex]y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0[/tex]

[tex]y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1[/tex]

[tex]y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2[/tex]

[tex]y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3[/tex]

It follows that [tex]a_0=0[/tex], [tex]a_1=1[/tex], [tex]a_2=0[/tex], and [tex]a_3 = -\frac16[/tex].

A school administrator bought 6 desk sets. Each set consists of one table and one chair. He pald $48.50 for each chair. If he pald a total of $663 for the 6 sets, the cost of each table Is

Answers

Let’s say the cost of each table is X
And cost of chairs is 6($48.50) = $291
Therefore;

$291 + 6(X) = $663
6x = $663 - $291
6x = $372
X = $372/6
X = 62

have someone who can can help me with this I need help

Answers

Answer is underlined

BD: 16.8+50.4= 67.2 mm

LM: 4-2.6= 1.4 cm

BD: 16.8+50.4= 67.2 mm
LM: 4-2.6= 1.4 cm

Find the x-intercept of the graph of the linear equation y = −1
2
x + 3.


x-intercept

Answers

Answer:

there is no x-intercept

Step-by-step explanation:

The graph of the equation y = -1 is a horizontal line that passes through (0, -1). The line is parallel to the x-axis. It never intersects the x-axis. There is no x-intercept.

The graph of a system of inequalities is shown.
195
554-3-2-1
4
(5
-5-
-6
-7
-8
9
23 x
Which system is represented by the graph?
O
O
y> 2x
x+2y≤-8
y≥ 2x
x+2y<-8
y< 2x
x+2y²-8
y≤2x
x+2y>-8

Answers

Answer: Option (1)

Step-by-step explanation:

The line y = 2x is shaded above and is dotted, so it represents [tex]y > 2x[/tex].

This eliminates all the options except for option (1).

The graph of a system of inequalities is shown. The following system of inequations represents the graph:

y ≥ 2x;

x + 2y ≤ -8:

Inequality refers to a condition in which there's a lack of equivalency or aesthetics, frequently panning out in disparities or differences in chances, resources, treatment, or outcomes among individuals, groups, or associations. It encompasses various forms, including economic inequality, colonial inequality, and political inequality.

The blue region is on the left of the blue line of equation y = 2x so the region is represented by the line y ≥ 2x. The equality holds in this inequality as the region also includes the origin (0, 0).

The second option only has the inequality y ≥ 2x in its system of inequalities.

So, the correct answer is the second one. The system of inequation is

y ≥ 2x;

x + 2y ≤ -8:

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Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the bag contained 1 kernel of corn, the second day it contained 2 kernels
of corn, 4 kernels of corn the third day, and so on. Each kernel of corn weighs 0.06 grams. How many kernels of corn will be in the bag on the 22nd day?

Answers

Answer:

2^25

Step-by-step explanation:

Given

On first day bag contained 1 kernels

on second bag contained 2 kernels of corn

on third day bag contained 4 kernels of corn

on n th day bag contains 2n-1  kernels of corn

thus on 26 th day bag contains 2^26= 2^25=33,554,432 kernel

Each kernel weigh  0.07 gm

Therefore 2^25  kernels weighs = 2^25 x 0.07

Therefore on 26 th day 2^25 kernel weighs 23,488.1024 kg

PLS ANSWERS QUCIK THANK YOU

Answers

Answer:

394.13cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

radius is 11.2cm (shown in circle)π = 3.142

Plug in:

A = πr² → A = (3.142)(11.2)²

            → A = (3.142)(125.44)

            → A = 394.13248

"2 decimal places",  round up to 394.13

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HELP! ASAP!

F is a right angle, and segment (a)(f), BG, and CH are all parallel. Use this information to explain why ∆AFD ~ ∆BGD ~∆CHD. Support your answer using a postulate or theorem.

Use the diagram to answer each part of the question

Answers

By the corresponding angles theorem,

∠AFG, ∠BGD, and ∠CHD are congruent∠BAF, ∠CBG, and ∠DCH are congruent

Thus, triangles AFD, BGD, and CHD are similar by AA.

Given the figure, triangles AFD, BGD, CGD are similar by Angle-Angle-Angle (AAA) criterion for the similarity.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

In the given question,

∠F = ∠G = ∠H = 90°

Let ∠D = x°

In triangle CHD,

∠H = 90°

∠D = x°

∠C = 180 - 90 - x = (90-x)°

In triangle BGD,

∠G = 90°

∠D = x°

∠B = 180 - 90 - x = (90-x)°

In triangle AFD,

∠F = 90°

∠D = x°

∠A = 180 - 90 - x = (90-x)°

In triangle AFD and BGD and CHD,

∠A = ∠B  = ∠C

∠F = ∠G = ∠H

∠D = ∠D =∠D

triangle AFD and BGD and CHD are similar.

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Giving brainliest!!!!!

Answers

I think it is 49123.52

Step-by-step explanation:

Given that the Earth orbits the Sun with an orbital velocity of about 29.8 km/s and a radius of 1 AU, use the equation above to estimate the total mass in the solar system inside the orbit of the Earth. Is this similar to the mass of the Sun? Remember to convert units to S.I. units of meters, kilograms, and seconds before proceeding so that your answer is in kg.

Answers

Answer:

I would like to use lb if that's ok

HELP, PLATO!!!!!!!
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct sequence.

Answers

Answer:

the law of cosines with ABC

Drag each label to the correct location on the chart. Not all labels will be used. Given: and are supplementary and are supplementary Prove: The two linear pairs and one supplementary angle with values of 1, 2, and 3 Statements Reasons 1. and are supplementary 1. given 2. and are supplementary 2. given 3. 3. congruent supplements theorem Complete the flow chart to show the proof. vertical angles theorem given congruent complements theorem congruent supplements theorem

Answers

Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.

What does the Congruent Supplements Theorem say?

The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.

Filling in the chart would therefore be:

<1 and <2 are

supplementary                                               <1 = <3

GIVEN                                           Congruent Supplements Theorem

 

<2 and <3 are

supplementary

GIVEN

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RSTU is an isosceles trapezoid with bases RS and TU.
Find x and m/S if m/R=4x +11 and m/T=2x-5.

Answers

[tex]\angle R[/tex] and [tex]\angle S[/tex] are supplementary by the same-side interior angles theorem, and [tex]\angle S \cong \angle T[/tex] because of the properties of an isosceles trapezoid, meaning that [tex]\angle R[/tex] and [tex]\angle T[/tex] are supplementary.

[tex]4x+11+2x-5=180\\\\6x+6=180\\\\6x=174\\\\x=\boxed{29}\\\\\implies m\angle S=m\angle T=2(29)-5=\boxed{53^{\circ}}[/tex]

Which expression represents the distance Kelli traveled downstream?

0.1(x – 5)

0.1(x + 5)

Answers

The distance that Kelli can swim will be about 6.11 kilometers per hour.

How to calculate the distance?

Here is the complete question:

Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about km/hour.

To solve for x, you need to follow SADMEP. SADMEP is subtraction, addition, division, multiplication, exponents, and parentheses.

It follows the same rules as PEMDAS, but SADMEP is only used when solving algebraic equations.

x - 5 = 0.1(x + 5) (use the distributive property)

x - 5 = 0.1x + 0.5 (subtract 0.1x to both sides)

0.9x - 5 = 0.5 (add 5 to both sides)

0.9x = 5.5 (divide both sides by 0.9)

x = 6.11 km/hour.

Therefore, Kelli can swim about 6.11 kilometers per hour.

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Answer:

It's the first one for upstream and the other one for downstream

Step-by-step explanation:

Other Questions
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