The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.
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Answers

Answer 1

Final answer:

To find the dimensions of the raised vegetable garden, we need to solve for the length and width using the given volume and height.

Explanation:

To find the volume of the raised vegetable garden, we multiply the area of the base by the height. In this case, the base is a rectangle, so its area is length times width. Let's call the length of the garden L and the width W. The volume (V) is given as 48 cubic feet and the height (H) is 3/4 foot. Therefore, we have the equation V = L x W x H. Substituting the given values, we get 48 = L x W x 3/4. To solve for L and W, we need to choose possible values for them that satisfy the equation. Let's start by considering possible values for L and W: L = 16 feet and W = 3 feet. Substituting these values into the equation, we have 48 = 16 x 3 x 3/4. Simplifying, we get 48 = 144/4, which is not true. Therefore, our initial guess for the values of L and W is incorrect. Let's try another set of values: L = 12 feet and W = 4 feet. Substituting these values into the equation, we have 48 = 12 x 4 x 3/4. Simplifying, we get 48 = 144/4, which is true. Therefore, the raised vegetable garden is 12 feet long and 4 feet wide.

Related Questions

A printer can print 27 pages in 4.5 minutes. How much time does it need to print 324 pages?

Answers

27 pages/4.5 mins = 324/n

Now, solve for n.

N=54

So, 54 minutes is the answer!

15t+30+5t=-4t+6 please show step by step

Answers

15t+4t+5t=6-30
24t=-24
t=-1

hey can you please help me posted picture of question

Answers

The correct answer is A.

Horizontal shift is obtained by addition/subtraction a number to every occurrence of x in the equation. Addition indicates a shift towards left and subtraction indicates a shift towards right.

So the correct answer is Subtract that number From.

require help with this question

Answers

a) Profit is the difference between revenue and cost. The revenue from the sale of radios will be ...
(revenue in year n) = (units sold in year n)*(price per radio in year n)
r(n) = (450 +50n)*(20 +n^2/45) = (10/9)n^3 +10 n^2 +1000n +9000
The cost for the production of all radios sold is given. Profit is then ...
(profit in year n) = (revenue in year n) - (cost in year n)
(profit in year n) = (10/9)n^3 +10n^2 +1000n +9000 -(1000 +10n^2)
(profit in year n) = (10/9)n^3 +1000n +8000
P(n) = (10/9)(n^3 +900n +7200)

b) The sum of numbers 1 to n is given by n(n+1)/2. The sum of numbers 1 to n^3 is given by (n(n+1)/2)^2. The sum of n constants is n*(the constant). Thus the sum T(n) of the terms of P(n) will be the sum of these polynomials multiplied by appropriate factors. It can be written in the form shown in the problem statement.

c) T(20) is computed to be 419,000, so is a little short of predicting the actual value of the contract.

A complex fraction is a fraction of a fraction.

True
False

Answers

True because a complex fraction is a fraction where either the numerator, denominator, or both have a fraction in them.

Answer:

The answer is TRUE

Step-by-step explanation:

Given the parent function f(x)=x^2 describe the graph of g(x)=(3x-6)^2+3

a.
expanded vertically by a factor of 3, horizontal shift left 6, vertical shift up 3
c.
compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3
b.
expanded horizontally by a factor of 3, horizontal shift left 6, vertical shift up 3
d.
compressed vertically by a factor of 1/3, horizontal shift right 2, vertical shift up 3

Answers

For this case we have the following functions transformation:
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
f1 (x) = (3x) ^ 2
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
f2 (x) = (3x-6) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
g (x) = (3x-6) ^ 2 + 3
Answer:
expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Answer:

C. Compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3

Step-by-step explanation:

If a function f(x) is transformed and make f(kx),

f(x) is compressed horizontally by the factor 1/k if k > 1

f(x) is stretched horizontally by the factor 1/k if 0 < k < 1

Also, if f(x) is transformed and make f(x+a),

f(x) is shifted right if a < 0

f(x) is shifted left if a > 0,

Now, if f(x) gives f(x) + k after transformation,

f(x) is shifted vertically k unit up if k > 0,

f(x) is shifted vertically k unit down if k < 0,

Here, the parent function,

[tex]f(x) = x^2[/tex]

transformed function,

[tex]g(x)=(3x-6)^2+3=(3(x-2))^2+3[/tex]

Thus, by the above explanation,

f(x) is compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3.

Option C is correct.

Which of the following is a statistical question?
A.
What is Monica's brother's age?
B.
How many students are attending Jessica's dance class today?
C.
How many pages are there in this book?
D.
How many cars are parked in the parking lot each day?

Answers

I think the ans should be D

Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data. The correct option is D.

What are statistics?

Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data, particularly with the aim of inferring proportions in a whole from those in a representative sample.

In statistics, a large amount of data is collected to gather some sort of information, through which the important decisions can be taken. Therefore, the question that is an example of a statistical question is "How many cars are parked in the parking lot each day?".

Hence, the correct option is D.

Learn more about Statistics:

https://brainly.com/question/23091366

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In a class of 40, 28 passed their maths test. What fraction of the class passed?

Answers

Final answer:

Out of a class of 40 students, 28 passed their maths test. The fraction of the class that passed the test is 28/40, which simplifies to 7/10.

Explanation:

The class consists of 40 students. The problem mentions that 28 of these students passed their maths test. To find the fraction of the class that passed, we have to compare the number of students who passed with the total number of students in the class. This is done by dividing the number of students who passed the test by the total class size. So, the fraction of the students who passed is 28/40. However, this fraction can be simplified by dividing both the numerator (28) and the denominator (40) by their greatest common divisor, which is 4. The result is 7/10. Therefore, the fraction of the class that passed the maths test is 7/10.

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a jogger runs around a 220 yard track in 125 seconds. what is the average speed in yards per second? Explain.

Answers

I am probably very, very wrong because i forgot how to do this but 1.76??????

Hello there, and thank you for asking your question here on brainly.

Answer: You can find how much yps (yards per second) by dividing 220 by 125. Divided, 220 / 125 ==> 1.76 He runs 1.76 yps. To check, you can multiply 1.76 by 125. Multiplied, 1.76 x 125 ==> 220. This is true.

Hope this helped you! ♥

On a certain day, $1 is worth 30.23 Russian rubles.Omar has $75.How many rubles will he get in exchange?

Answers

242.25 rupies. 75 x 30.23 = 242.25 rupies.

Hope this helps!

Omar would get 2,267.25 Russian Rubles.

To find this you multiply his amount of money ($75) by how many Russian Rubles $1 equals (30.23). This will give you an answer of 2,267.25.

I hope this helps!

Hey can you please help me posted picture of question

Answers

Answer: 32

Explanation:

The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.

Tossing a coin 5 times leads to these results:

First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.

Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32

Those 32 leaves is this sample space:

head-head-head-head-head
head-head-head-head-tail

head-head-head-tail-head
head-head-head-tail-tail

head-head-tail-head-head
head-head-tail-head-tail

head-head-tail-tail-head
head-head-tail-tail-tail

head-tail-head-head-head
head-tail-head-head-tail

head-tail-head-tail-head
head-tail-head-tail-tail

.......... (continue)

And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.

For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many are not defective?

Answers

To find the number of non-defective chips, we simply use this equation:
2,000 * 4/5
8000/5
Now you simply divide:
1600
1600 chips aren't defective

Where does the graph of the function y=tan(x)
have asymptotes?

Answers

The graph of the function y=tan(x) has vertical asymptotes at odd multiples of pi/2 and periodic asymptotes at even multiples of pi.

The graph of the function y=tan(x) has asymptotes at x-values where the tangent function is undefined. The tangent function is undefined at x-values that are odd multiples of pi/2, such as -pi/2, pi/2, -3pi/2, etc. These x-values are called vertical asymptotes. The graph also has periodic asymptotes at x-values that are even multiples of pi, such as 0, pi, -pi, 2pi, etc. These x-values are called horizontal asymptotes.

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Q #4
[tex] < 6 < 1 < 2 < 4[/tex]

Answers

The interior angel of 7 will be angel 4
∠7 + ∠4 = 180°

Which expression is equivalent to -6(3x-2/3)?
A) -2x + 9
B) -3x - 6 2/3
C) -18x + 12
D) -18x + 4

Answers

Hello!

-6(3x - 2/3)

Distribute the -6

-18x + 4

The answer is D) -18x + 4

Hope this helps!

Answer:

D hope this helps have a wonderful safe day

Step-by-step explanation:

Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%

a.
256
c.
3.56
b.
2.56
d.
35.6

Answers

To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
256% = 2.56
2.56 + 1 = 3.56

The appropriate choice is ...
c. 3.56

Answer:

missing value in the table is 3.56

Step-by-step explanation:

Percent 13% 256% 28% 97%

Growth Factor 1.13 ? 1.28 1.97

To find growth factor first we remove the percentage and then we add 1

we are given with 246 %

to remove percentage we divide by 100

[tex]\frac{256}{100} = 2.56[/tex]

To get growth factor we add 1

1+2.56= 3.56

so growth factor is 3.56

missing value in the table is 3.56

Cody is twice as old as Evan and seven years ago the sum of their age was 7. find the age of each boy now

Answers

Cody: 2x
Evan: x

x-7 (Evan’s age 7 years ago (-7))
2x-7( Cody’s age 7 years ago (-7))

So you add both
x-7+2x-7
And that should equal 7 (seven years ago the sum of their age was 7)
x-7+2x-7=7
3x-14=7
3x=21
x=7

Evan (x)= 7
Cody (2x)= 7 times 2
Cody= 14

Cody is currently 14 years old and Evan is 7 years old, as determined by setting up an equation based on the information provided and solving for their ages.

Let's set up an equation to solve this problem by letting the current age of Evan be x. Since Cody is twice as old as Evan, Cody's current age would be
2x. We are told that seven years ago, their ages added up to 7. Therefore, we can express this as (x - 7) + (2x - 7) = 7. Simplifying this equation gives us 3x - 14 = 7. Adding 14 to both sides gives us 3x = 21. Dividing both sides by 3 gives us x = 7, which is Evan's current age. Therefore, Cody's age is 2x which is 2*7 = 14. Cody is 14 years old and Evan is 7 years old now.

Four of a sample of 150 computers will be selected and tested. How many ways are there to make this selection? Type a numerical answer in the space provided. Do not type any commas or spaces in your answer.

Answers

This is a question of combinations.
The number of ways of selecting 4 computers from 150 computers = 150C4= 20260275

There are 20260275 ways of selecting 4 computers from 150 sample of computers.

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot

Answers

the correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

Hey can you please help me posted picture of question

Answers

Two events are occurring:

1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3

Probability of getting an odd number = 3/6

2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2

The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12

Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario.

So correct answer is option C

Three of the six numbers on the die are odd, so the probability of rolling an odd number is 3/6.

One of the two sides of the coin is a head, so the probability of tossing a head is 1/2.

These are considered to be independent events, so the joint probability is the product of these probabilities.

The probability of getting an odd number and a head is
(3/6)*(1/2) = 3/12

The appropriate choice is ...
C. 3/12

Take a look at the figure. What is the value of y? A. y = 16 B. y = 64 C. y = 14 D. y = 32

Answers

[tex] \sqrt{2y} +3=11[/tex]

[tex] \sqrt{2y} =11 -3[/tex]

[tex] \sqrt{2y} =8[/tex]

square both sides

2y = 64

∴ y = 64/2 = 32

The answer is option D. y = 32

What is the volume of a cube with an edge length of 4.5 cm?
Enter your answer, as a decimal, in the box.

___ cm 3

Answers

91.13 cm 3.

hope this helps...

volume of a cube is determined by multiplying the side length by itself three times, in this case 4.5^3 or 4.5x4.5x4.5. Doing this quickly on a calculator you find your answer is 91.125 cm^3

Brainliest would be fantastic, have a nice day!!

Find the amount of the discount on a $234 item with a discount of 15%. A. $40.00 B. $23.40 C. $35.10 D. $35.01

Answers

234 * 0.15 = 35.1

Your answer is C. $35.10.

The answer is C.$35.10 because you multiply $234 by .15

Which of the following uses estimation to check 267 - 154 = 113

A. 300 - 150 = 150

B. 300 - 200 = 100

C. 270 - 150 = 267

D. 113 + 154 = 267

Answers

Answer: it is the third but there is a typo. It is C. 267 - 150 = 117

Explanation:

You can do that estimation searching to make a quick verification, because adding rounding 154 to the tens leads to 150 and it is very easy to subtract 267 - 150 instead of 267 - 154, driving to a quick approximate check of the subtraction.

Ethan made 14 out of 25 foul shots at basketball practice what percent of shots did he make

Answers

he made 14 out of 25 shots,
divide 14 by 25:

14 / 25 = 0.56

multiply the answer by 100:

0.56 x 100 = 56%

First answer gets a thanks
Any and all answers gets 5 stars
Most reliable answer gets brainliest.

The dot plot below shows the number of books 26 students read in a month:

Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.

Is the median or the mean a better center for this data and why?

A: Mean; because the data is skewed and there are outliers
B: Mean; because the data is symmetric and there are outliers
C: Median; because the data is skewed and there are outliers
D: Median; because the data is symmetric and there are outliers

Answers

I would have to say A - Mean; because the data is skewed and there are outliers.

This is because the median of this would not be accurate for the number of kids that read no books and the random three kids that read ten. Mean, however, would find the true median within the plot and utilize and take into account the outliers and how skewed the data is.

Hope this helps!

Which of the following equations is the result of completing the square on x 2 - 6x - 9 = 0?

Answers

If you want to complete the square on that, you do this:

x² - 6x - 9 = 0
x² - 6x = 9
x² - 6x + 9 = 9 + 9

x² - 6x + 9 = 18 is your equation.

If you want, I can keep going:

(x - 3)² = 18

x - 3 = +/- √18
x - 3 = +/- 3√2

x = 3 +/- 3√2

The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the probability that a battery you buy lasts at most 100 hours? Standardize the variable.

Answers

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

Answer:

1-P(z<1.75) D in EDG

Step-by-step explanation:

For the second part !!

Devon wants to know if drinking milk before bed helps teenagers sleep. he chooses 10 friends on his high school basketball team for his study. every night for one month the friends drink a glass of milk before bed and later record how many hours they sleep that night. Describe three reasons why Devon's study design is flawed.

Answers

Three reasons why this design is flawed are that he is only surveying the basketball players. The population sample should include a mix of many teenagers if this is the hypothesis. The second reason this is flawed is that he is only collection data of ten people (whom are his friends), causing possible biased data and not enough evidence with only 10 people. Another flaw is the cup size. How much is each person drinking? Cups come on different sizes, but the amount should be the same for all.

Answer:

The three reasons Devon's study is flawed because:

1. The sample size is very small. You cannot conclude anything based on small samples.

2. Sample is biased as Devon chose basket ball players and such players have proper sleep pattern and waking up pattern as compared to normal people. So, the study cannot be generalized.

3. Devon must have studied their sleep pattern before experimenting also, so that some quantitative data on change is available for conclusion.

what is the median of this data set 17,42,53,97,102,82

Answers

67.5 ... Hope I helped! :D brainliest?

Answer = 67.5

To solve this you put the number in order so (17 42 53 82 97 102) then you count them off by removing them left to right, first 17, then 102, then 42, then 97, then you are left with 2 numbers in the middle so you average them by adding them together and then dividing them by 2 to get 67.5. If you are left with one in the middle then that is your answer.

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