Lorie ordered a shed to hold her gardening supplies. The shed had a length of 18.25 ft, a width of 15 ft, and a height of five and one fifth ft.

Determine the volume, V, using the formula V = lwh.

1,423.5 cubic ft
1,373.5 cubic ft
142.35 cubic ft
38.45 cubic ft

Answers

Answer 1

The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and  (5 1/5) ft in height, will be 1423.5 cubic fts.

As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.

We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.

To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.

Here, "l" = 18.25 ft

       "w" =  15 ft,

And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.

Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,

Volume of the shed (V) = 18.25[tex]\times[/tex] 15 [tex]\times[/tex] 5.20

[tex]or, V = 1423.5ft^{3}[/tex].

Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.

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Related Questions

A cylinder aquarium is 8 ft across. When filled, it weighs 15680 lbs. The water weighs 62.42 lb/ft3. What is the height of the aquarium

Answers

the height of the aquarium is 2.5ft

What is the height of the aquarium?

The aquarium is filled with water that weights 15,680 pounds in total, and we know that the density of water is 62.42 lb/ft^3, then the volume of water is:

V = 15,680/62.42 = 251.20 ft^3

Now, this is the volume of the cylinder will be 251.20 ft^3, and if the diameter is 8ft (the radius is 4ft) then the height H will be such that the volume:

V = 2*3.14*R^2*H

Is:

251.20 ft^3 = 2*3.14*(4ft)^2*H

251.20ft = 100.48ft^2*H

251.20ft/100.48ft^2 = H = 2.5ft

So the height of the aquarium is 2.5ft

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Divide the numerator and denominator of 63 39 | by 3 . Equivalent Fraction

Answers

Step-by-step explanation:

did I understand this correctly ?

the fraction is 63/39 ?

and you need help to divide both numbers by 3 ? really ?

63/3 = 21

39/3 = 13

so the equivalent fraction is

21/13

I know that I would use dv/dt but I’m confused on what to do #39 and 41

Answers

Starting with the volume of a cube with side length [tex]x[/tex],

[tex]V(x) = x^3[/tex]

differentiate both sides with respect to time [tex]t[/tex]. By the chain rule,

[tex]\dfrac{dV}{dt} = 3x^2 \dfrac{dx}{dt}[/tex]

We're given that [tex]\frac{dx}{dt} = 2\frac{\rm in}{\rm min}[/tex].

39. At the moment [tex]x=8\,\rm in[/tex], solve for [tex]\frac{dV}{dt}[/tex].

[tex]\dfrac{dV}{dt} = 3 (8\,\mathrm{in})^2 \left(2\dfrac{\rm in}{\rm min}\right) = 384 \dfrac{\rm in^3}{\rm min}[/tex]

41. Find [tex]x[/tex] when [tex]V = 55\,\rm in^3[/tex].

[tex]55\,\mathrm{in}^3 = x^3 \implies x = 55^{1/3} \,\rm in[/tex]

Solve for [tex]\frac{dV}{dt}[/tex].

[tex]\dfrac{dV}{dt} = 3 \left(55^{1/3} \,\mathrm{in}\right)^2 \left(2\dfrac{\rm in}{\rm min}\right) = 6\cdot55^{2/3}\dfrac{\rm in^3}{\rm min}[/tex]


A classmate writes
(1.3 × 10³) + (3.4 x 10^5) = 4.7 x 108 on the
board. Is their equation true? Explain.

Answers

Answer:

no bc the answer to the problem would be 341300


An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?

Answers

An elephant can drink 50 gallons of water per day

What affect does an outlier have on a box plot?

Answers

Answer:

The outliers affect the mean, median, and other percentiles

Step-by-step explanation:

Because extreme points are highlighted in a box plot, it is simple to identify data points for further investigation. You may discover that the outliers are errors in your data or that they are unusual for another reason.

CHAPTER 8 NEED HELP!!!!
Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.

Answers

Answer:

58.1

Step-by-step explanation:

8.6 is your diameter. You need to find the radius first which is always half of you diameter. Knowing that your radius is 4.3.

The formula you use for area is:

a = [tex]\pi[/tex]r²

a = [tex]\pi[/tex]4.3²

a = 58.08805

Rounded to the nearest tenth is:

58.1

You roll a dice twice. What is the probability the first roll is a 2 and the second roll is
an odd number?

Answers

The probability the first roll is a 2 and the second roll is an odd number is 1/12

When we are unsure of the outcomes or simply want to know how probable something is to happen, we talk about probabilities. A random event is mathematically represented by probability. The collection of all potential outcomes is the sample space S for a probability model.

When we roll a dice there are 6 possible outcomes S={1, 2, 3, 4, 5, 6}.

The probability of showing a 5 is

Probability of showing 2 = 1/6

And the probability of showing an odd number is

Probability of showing an odd number = 3/6

Rolls are independent of one another, so there is a chance that the first roll will show a 5 and the second roll will reveal an even number.

( Probability of showing 2) ( Probability of showing an odd number) = 1/6 × 3/6 = 1/12.

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Need the outputs to this formula

Answers

The complete table of values of the absolute value function is

x     g(x)

-3      22

-2      13

0        5

1        14

3       32

How to determine the output of the formula and complete the table?

The equation of the function is given as

g(x) = |9x + 5|

Next, we set the values of x in the table to the above equation

So, we have

g(-3) = |9(-3) + 5| = 22

g(-2) = |9(-2) + 5| = 13

g(0) = |9(0) + 5| = 5

g(1) = |9(1) + 5| = 14

g(3) = |9(3) + 5| = 32

So, the complete table of values of the absolute value function is

x     g(x)

-3      22

-2      13

0        5

1        14

3       32

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Use the given equation to complete the table. Use the table to list of the ordered pairs that satisfy the equation. y=5x

Answers

Answer:

x = -1

y = -5

(x,y) = (-1,-5)

x = 0

y = 0

(x,y) = (0,0)

x = 1

y = 5

(x,y) = (1,5)

Step-by-step explanation:

y = 5(-1)

y = 5*-1

y = -5

y = 5(0)

y = 5*0

y = 0

y = 5(1)

y = 5*1

y = 5

-7x-43-3=-45 solve for x

Answers

Answer:

x=-13

Step-by-step explanation:

-7x-46=45

+46. +46

-6×=91

÷ ÷

6. 6

x=-13

Please help will give points

Answers

Answer:

Step-by-step explanation:

its dees nuts with the D

NO LINKS!! Which of the following formulas defines an arithmetic sequence?​

Answers

Answer:  Choice C

18+7(n-3)

=======================================================

Explanation:

We can rewrite the right hand side of choice C like so

18+7(n-3)

18+7(n-1-2)

18+7(n-1)+7(-2)

18+7(n-1)-14

4+7(n-1)

Which is now in the form a+d(n-1)

a = 4 = first termd = 7 = common difference

This confirms choice C to be arithmetic. The other choices cannot be written in the format of a+d(n-1). Choices A and B are quadratic sequences while choice D is exponential.

The first few terms of choice C are: 4, 11, 18, 25, 32, ...

To get new terms, add 7 to the previous one.

-------------

Notice how if n = 5 for instance, then,

[tex]a_n = 4+7(n-1)\\\\a_5 = 4+7(5-1)\\\\a_5 = 32\\\\[/tex]

and

[tex]b_n = 18+7(n-3)\\\\b_5 = 18+7(5-3)\\\\b_5 = 32\\\\[/tex]

This confirms that [tex]a_n = b_n[/tex] when n = 5. I'll let you check other positive integer values for n.

Answer:

[tex]\textsf{c)} \quad s_n=18+7(n-3)[/tex]

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term.

General formula of an arithmetic sequence

[tex]\boxed{s_n=a+(n-1)d}[/tex]

where:

sₙ is the nth term.a is the first term.d is the common difference between terms.n is the position of the term.

When expanded, the formulas for answer options a and b will both contain an n² term, so we can immediately discount them since an arithmetic sequence is linear.

Similarly, we can also discount option d since this formula includes an exponential term and is therefore not linear.

Therefore, the only valid answer is option c.

To confirm, rewrite the formula for c in the general form for an arithmetic sequence:

[tex]\begin{aligned}\implies s_n&=18+7(n-3)\\s_n&=18+7n-21\\s_n&=7n-3\\s_n&=7n-7+4\\s_n&=7(n-1)+4\\s_n&=4+(n-1)7\end{aligned}[/tex]

Therefore, formula that defines an arithmetic sequence is:

[tex]\boxed{s_n=18+7(n-3)}[/tex]

Add 6 1/3 + 4 3/4 + 3 7/12

Answers

Step-by-step explanation:

6⅓ + 4¾ + 3 7/12

Convert to improper fraction

6⅓ = 19/34¾ = 19/4 3 7/12 = 43/12

= 19/3 + 19/4 + 43/12

LCM= 12

= 76 + 57 + 43

12

= 176/12

= 44/3

Answer

44/3 as improper fraction14 as mixed fraction14.66 as decimal

5. How many ways can you make change for 55¢ using only nickels, dimes, and quarters?
(Type a whole number.)

Answers

Answer: 11

Step-by-step explanation:

If you use 0 dimes, you can use 11 nickels.

If you use 1 dime, you can use 9 nickels.

A chart develops:

0 11

1 9

2 7

3 5

4 3

5 1

So there are 6 ways to make 55 cents with nickels and dimes alone.

Now for the situation with 1 quarter:

We can have 0 dimes and 6 nickels.

We can have 1 dime and 4 nickels.

A chart follows:

0 6

1 4

2 2

3 0

So there are 4 ways to make change with nickels and dimes and 1 quarter.

Finally, if we use 2 quarters, we have 5 cents left over which must be a nickel adding 1 more way.

So there are 6 + 4 + 1 ways = 11 total ways to make 55 cents with nickels dimes and quarters.

Answer:1 quarter 1 dime 4 nickels=55¢

Step-by-step explanation:

a quarter is 25¢ a dime is 10¢ and a nickel is 5¢ so i have 25¢+10¢ thats 35¢                      so i added 4 more 5¢ and i got 55

we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2

Answers

we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2.

That number is 0. When we multiply 0 by 3 or if we multiply it by 5 and then add 2, then we will get same results.

Given that

we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2

To find

We have to find that number which is giving same results.?

So, according to the question

we have,

We will get same results, after multiply an number by 3 or if we multiply the numbers by 5 and then add 2

Let's assume that number is x,

So, from question we can say that

The result we will get after multiply x by 3 and then add 2

                             = (3 × x) + 2

                   result = 3x + 2

and

The result we will get after multiply x by 5 and then add 2

                             = (5 × x) + 2

                   result = 5x + 2

Now, from question we know that the results are same

So,

                  3x+ 2  = 5x+ 2    

Now, simplify this        

                   5x - 3x = 2 - 2  

                          2x = 0

                            x = 0/2

                            x = 0

The number is 0.

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On a piece of paper graph y=(s+2)(s-3) then determine which answer choice matches the graph

Answers

The graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.

What is Parabola?

Parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

Given is a function as -

y = (s + 2)(s - 3)

We have -

(s + 2)(s - 3)

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

s² - 3s + 2s - 6

s² - s - 6

Replace 's' with 'x'. Now, you will get a quadratic equation as follows -

x² - x - 6

The graph of a quadratic equation represents a parabola. The parabola will cut the x - axis at the points -

(x - 2)(x - 3) = 0

x = -2 and x = 3

Therefore, the graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.

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What is the solution of |X - 15 =-6

Answers

Answer:

x = 9

Step-by-step explanation:

Add 15 on both sides

[tex]x - 15 + 15 = -6 + 15[/tex]

Simplify it

[tex]-6 + 15 = 15 - 6 = 9\\x = 9[/tex]

Find the exact value of tan sin
5
13

Answers

The trigonometric functions is y = 5/12.

The trigonometric functions sine, cosine, tangent, cosecant, secant, and cotangent really execute the opposite operation, which is what the inverse trigonometric functions do. We are aware that the right angle triangle is particularly amenable to trig functions. When two sides of a right triangle's measure are known, these six crucial functions are employed to determine the angle's measurement.

The convention symbol uses arc-prefixes such as arcsin(x), arccos(x), arctan(x), arccsc(x), arcsec(x), and arccot to denote the inverse trigonometric function (x).

arc sin(x) = arc tan (x/√1-x^2), x ∈ (0,1)

let,

y = tan (arc sin(5/13)) _____(1)

y = tan (arc tan ( 5/13/√1-(5/13)^2))

y = tan ( arc tan ( 5/ √13^2 - 5^2))

y = tan (arc tan (5/12))

y = 5/12

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Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5
0-3 1/
03
07

Answers

we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

We are given an expression:

a³ - b³

The absolute value of the expression will be:

| a³ - b³ |

Now, we have a = 2 and b = - 3

So, substituting the values in the expression, we get that:

| a³ - b³ |

| ( 2 ) ³ - ( - 3 )³ |

| 8 - ( - 27 ) |

| 8 + 27 |

= | 35 |

= 35

Therefore, we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

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dogs to cats is 2:7 there are 90 animals how many are cats

Answers

Answer: 70 cats

Step-by-step explanation:

add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.

what is 1-2-3-4-5-6??!?? WILL GIVE BRAINLIst if correct

Answers

I. Can’t. Really. See. It but I think it could be 45

The equation F = ma states that the force F on an object is equal to the mass m of the object times the acceleration a of the object. The force is measured in a unit called "newtons*.
A single grain of medium grain rice has a mass of 2.4 x10-5 kg. If this grain of rice is dropped, the acceleration it will have due to gravity is 9.8 m/s?. Use the above equation to calculate the amount of force on the grain of rice.
Choose the answer that represents this value in scientific notation.

Answers

The amount of force on the grain of rice is 23.52 × 10⁻⁵ newtons.

The right format for scientific notation is a × 10ᵇ, where an is an integer or decimal number with an absolute value more than or equal to one and less than ten, or 1 < |a| < 10. For the scientific notation to be mathematically equivalent to the original value, b must be a power of 10.

The Force of a particle is given as:

F = ma, where m is the mass and a is the acceleration.

Now, the mass of a grain of rice is 2.4 × 10⁻⁵ kg.

The acceleration due to gravity is 9.8 m/s².

Therefore, the force on the grain of rice is :

F = ma

F = 2.4 × 10⁻⁵ kg × 9.8 m/s²

F = 23.52 × 10⁻⁵ newtons

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What kind of angles are 1 and 5 in the picture below?

A. vertical
B. corresponding
C. exterior
D. alternate interior

Answers

Based on the angles given of 1 and 5, the type of angles that they are is B. Corresponding angles.

What are corresponding angles?

Corresponding angles are angles that form as a result of a parallel line, or parallel lines being intersected by transverse lines. As a result, the same angles are created in certain instances.

When the angles given appear in the same position on the different transverse and parallel lines, then they are corresponding.

This means that angles 1 and 5 are corresponding angles because they appear in the same position.

In conclusion, the angles are corresponding.

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simplify: 18 + 7 / 10 -16 +26 /6
A. -25 /6
B. -5 / 6
C. 5 / 6
D. 25 / 6

Answers

The simplified form is  18 + 7 / 10 -16 +26 /6 is  mathematically given as

-9/2

This is further explained below.

What is  the simplified form is  18 + 7 / 10 -16 +26 /6  ?

Generally, the equation for the expression is  mathematically given as

[tex]\frac{ 18 + 7}{ 10} -\frac{16 +26}{6}[/tex]

Therefore

Add 18 and 7.

[tex]\frac{25}{10}-\frac{16+26}{6}[/tex]

[tex]$\frac{5}{2}-7$[/tex]

To write -7 as a fraction with a common denominator, multiply by 2/2.

[tex]\frac{5}{2}-7 \cdot \frac{2}{2}[/tex]

Combine -7 and 2/2

[tex]\frac{5}{2}+\frac{-7 \cdot 2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]\frac{5-7 \cdot 2}{2}[/tex]

Simplify the numerator.

-9/2

Move the negative in front of the fraction.

Decimal Form:

-4.5

In conclusion, The simplified for is  18 + 7 / 10 -16 +26 /6

-9/2

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find the negative integers. see picture above^^^

Answers

Answer:

i need help with this too let me know when you find out

Step-by-step explanation:

Step-by-step explanation:

all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.

smaller value : -28

larger value : -26

other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.

The sum of an integer and seven more than four times the next consecutive integer is 66. Find the integer.

Answers

The Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.

What is the integer as described in the task content?

According to the task content, it follows that the sum of the Integer in discuss and seven more than four times the next consecutive integer is 66.

The word phrase which is as described above is;

x + 4(x+1) + 7 = 66

x + 4x + 4 + 7 = 66

5x + 11 = 66

5x = 66- 11

5x = 55

x = 11.

Ultimately, the Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.

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At the beginning of June Max and Shawn start saving money for the fair which occurs 10 weeks later Sean starts out with $20 just and saves just $2 per week Max starts out with no money but says $5 per week after how many weeks are Max have more money than Sean

Answers

At 7 weeks Max will have more saving than Sean.

How to find the number of week Max has more money?

Max and Sean start saving money for a fair.

Sean starts out with just $20 and saves just $2 per week Max starts out with no money but says $5 per week .

Therefore,

Sean equation for amount gotten:

y = 20 + 2x

Max equation for amount gotten:

y = 5x

Where

x = number of weeks.

Therefore, the numbers of week max will save more than Sean is as follow:

y = 5x

y = 5(7) = $35

y = $35

y = 20 + 2x

y = 20 + 2(7)

y = 20 + 14

y = $34

Therefore, at 7 weeks Max will have more saving than Sean.

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Mercury is 5.8 x 10^7 km from the sun. Neptune is 4.5 x 10^10 km from the sun. How much further is Neptune from the sun than Mercury?

a
Multiply the distances: (5.8 x 10^7) x (4.5 x 10^10) = (5.8 x 4.5) x (10^17) = 26.1 x 10^17 = 2.61 x 10^16
b
Divide the distances: (4.5 x 10^10) / (5.8 x 10^7) = .76 x 10^3 = 7.6 x 10^2
c
Add the distances together: (5.8 x 10^7) + (4.5 x 10^10) = 10.3 x 10^17 = 1.03 x 10^18 km
d
Subtract the distances by getting the same power of 10: (4.5 x 10^10) - (5.8 x 10^7) = (4.5 x 10^10) - (.0058 x 10^10) = 44.99 x 10^10 km

Answers

Neptune is 7. 76 × 10^2 times farther than Mercury from the sun. Option B

What is ratio?

A ratio can be defined as the comparison of two or more number indicating their sizes in relation to each other.

It also explains how any times a number contains another.

From the information given, we have;

Mercury is 5.8 x 10^7 km from the sun.Neptune is 4.5 x 10^10 km from the sun

To determine the distance Neptune is from the sum than Mercury, we divide the distance for Neptune by that of Mercury

= 4.5 x 10^10/  5.8 x 10^7

= 776. 86

Turn into scientific notation

= 7. 76 × 10^2

Thus, Neptune is 7. 76 × 10^2 times farther than Mercury from the sun. Option B

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please help me in my maths question

annie is sitting in a park her weight is 50kg she went home on cycle calculate the distance between park and her house​

Answers

Answer:

1.2 miles.

Step-by-step explanation:

because her weight is similar to that of a teenaged girl, she wouldn't be able to pedal very hard, or for long periods of time- she doesn't have the stamina for a cross-country ride. Therefore, using various statistics on house location in relation to park location, we can assume that the distance is about 1.2 miles.

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