Erik is growing vegetables in a square garden in his backyard. Each side of the vegetable garden is 6 feet long. He is also growing herbs in a rectangular garden that is 4 feet long and 3 feet wide. How many square feet larger is the vegetable garden than the herb garden?
Answers
the vegetable garden is 24 square feet larger than the herb garden. The area of the square vegetable garden is equal to the length of one side squared.
what is larger than ?
"larger than" is a comparative term used to describe a situation where one thing has a greater size, quantity, value, or magnitude than another thing. It is used to indicate a comparison between two or more objects or quantities.
In the given question,
The area of the square vegetable garden is equal to the length of one side squared. Each side of the square garden is 6 feet long, so the area of the vegetable garden is:
6 feet × 6 feet = 36 square feet
The area of the rectangular herb garden is equal to its length multiplied by its width. The length of the herb garden is 4 feet and the width is 3 feet, so the area of the herb garden is:
4 feet × 3 feet = 12 square feet
To find the difference in area between the two gardens, we subtract the area of the herb garden from the area of the vegetable garden:
36 square feet - 12 square feet = 24 square feet
Therefore, the vegetable garden is 24 square feet larger than the herb garden.
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Related Questions
Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0
Answers
Answer:
-2x²-3x+5=0
-2x²+2x-5x + 5 = 0
-2x(x+1)-5(x + 1) = 0
(x+1) (-2x-5) = 0
Austin mowed 8 lawns in 3 hours at that rate how long will it take him to mow 12 hours
Answers
Answer:
the answer is 32 lawns in 12 hours!
Step-by-step explanation:
3 hours = 8 lawns
6 hours = 16 lawns
9 hours = 24 lawns
12 hours = 32 lawns
Hope thus helped
Answer:
32
Step-by-step explanation:
Step 1:
8 : 3 = x : 12 Ratio
Step 2:
3x = 96 Multiply
Step 3:
96 ÷ 3 Divide
Answer:
32 lawns
Hope This Helps :)
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answers
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59
Is this true 2.01 < 2.2
Answers
Answer: True
Let's make 2.2 into a three digit number to calculate and focus better.
⇒ 2.01 < 2.20
2.20 is 0.19 more than the number/decimal 2.01.
So, the answer is True. 2.2 is greater than 2.01.
Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
Answers
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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In Exercise 6, suppose that there is a probability of .01 that a digit is incorrectly sent over a communication channel (i.e., that a digit sent as a 1 is received as a 0, or a digit sent as a 0 is received as a 1). Consider a message that consists of exactly 60% 1s. a. What is the proportion of 1s received at the end of the channel
Answers
Answer:
The proportion of 1s received at the end of the channel is of 0.598.
Step-by-step explanation:
In this question:
60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.
For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.
a. What is the proportion of 1s received at the end of the channel?
99% of 60%(sent 1s, received 1).
1% of 40%(sent 0s, received 1). So
\(p = 0.99*0.6 + 0.01*0.4 = 0.598\)
The proportion of 1s received at the end of the channel is of 0.598.
Write an expression for the nth term of the sequence. (your formula should work for n = 1, 2, .) 1 2 , 1 3 , 1 7 , 1 25 , 1 121 ,
Answers
The nth term of the sequence can be expressed as: \(1 / (n^2)\)
The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...
To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...
Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...
The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)
Therefore, the nth term of the sequence can be expressed as:
\(1 / (n^2)\)
So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.
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Use the side-splitter theorem to solve for x in the triangle below.
4
X
35
28
Answers
Answer:
x=5
Step-by-step explanation:
I need help pls help
Answers
Answer:
A
Step-by-step explanation:
Since we know the value of the rational numbers, we can easily determine their order, either from least to greatest or from greatest to least. If it's written as a fraction, you can rewrite it as a decimal in order to see it's value better. But, yes, you can determine the order of rational numbers. And A is correct. I am 100% positive.
Hope this helps, and good luck!
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
Answers
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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April took out a $600 loan from the bank. At the end of 5 years she pays back the principal, plus $60 simple interest. What was the annual interest rate?
Answers
Answer:
2 percent
Step-by-step explanation:
i took the test
give me the answer pls
Answers
Answer:
x = 17.5
Step-by-step explanation:
So its the same angle so it has to equal the same thing
5x+7 = 9x-63
+63 +63
5x+70=9x
-5x -5x
70 = 4x
/4 /4
17.5 = x
Find the area bounded by the graphs of the indicated equations over the given interval.
y = x² + 17; y = 0, -3 ≤ x ≤ 3
Answers
The area bounded by the graphs of y = x² + 17 and y = 0 over the interval -3 ≤ x ≤ 3 is 120 square units.
To find the area bounded by the two graphs, we need to calculate the definite integral of the difference between the upper function (y = x² + 17) and the lower function (y = 0) over the given interval.
Integrating the difference of the two functions, we have:
∫[from -3 to 3] (x² + 17 - 0) dx
Simplifying, the integral becomes:
∫[from -3 to 3] (x² + 17) dx
To evaluate this integral, we can use the power rule of integration. Integrating x² gives us (1/3)x³, and integrating the constant term 17 gives us 17x.
Applying the limits of integration, the integral becomes:
[(1/3)x³ + 17x] from -3 to 3
Evaluating the expression at the upper limit (x = 3) and subtracting the expression at the lower limit (x = -3), we get:
[(1/3)(3)³ + 17(3)] - [(1/3)(-3)³ + 17(-3)]
Simplifying further:
[(1/3)(27) + 51] - [(1/3)(-27) - 51]
= [9 + 51] - [-9 - 51]
= 60 + 60
= 120
Therefore, the area bounded by the two graphs is 120 square units.
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the measure of the steepness or tilt of a line is called
Answers
Is the trapezoidal rule an overestimate or underestimate?
Answers
The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.
What is trapezoidal rule?The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.
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Write the equation of a line with a slope of -1 and a y-intercept of 5. Do not use spaces
in your response.
Answers
Answer:
y=-x+5
Step-by-step explanation:
Hope this helps!
And can I have brainliest!
8. Store A sells a 500 GB hard disk for $85. 05 with a
20% discount while Store B sells the same hard disk
for $76. 05 with a 10% discount. Write down an
expression that you can calculate mentally to help
you decide which store to buy the hard disk from.
Answers
To find out which store to buy the hard disk from, an expression can be calculated mentally. The expression is to find the actual price of each store by subtracting the discounted price from the original price. Then, the store that offers the lower price can be chosen.
First, let’s calculate the actual price of the hard disk from Store A after the discount.20% discount means the price will be reduced by 20%.Original price of hard disk = $85.05The amount of discount = 20% of $85.05= $17.01Actual price of the hard disk from Store A = Original price - Discount= $85.05 - $17.01= $68.04Now, let’s calculate the actual price of the hard disk from Store B after the discount.10% discount means the price will be reduced by 10%.Original price of hard disk = $76.05The amount of discount = 10% of $76.05= $7.61Actual price of the hard disk from Store B = Original price - Discount= $76.05 - $7.61= $68.44To decide which store to buy the hard disk from, we need to find out which one offers the lower price. As we can see, the actual price of the hard disk from Store A is $68.04 and the actual price of the hard disk from Store B is $68.44. Therefore, we can conclude that Store A offers a lower price than Store B.
To find out which store to buy the hard disk from, an expression can be calculated mentally. The expression is to find the actual price of each store by subtracting the discounted price from the original price. Then, the store that offers the lower price can be chosen.First, let’s calculate the actual price of the hard disk from Store A after the discount.20% discount means the price will be reduced by 20%.Original price of hard disk = $85.05The amount of discount = 20% of $85.05= $17.01Actual price of the hard disk from Store A = Original price - Discount= $85.05 - $17.01= $68.04Now, let’s calculate the actual price of the hard disk from Store B after the discount.10% discount means the price will be reduced by 10%.Original price of hard disk = $76.05The amount of discount = 10% of $76.05= $7.61Actual price of the hard disk from Store B = Original price - Discount= $76.05 - $7.61= $68.44To decide which store to buy the hard disk from, we need to find out which one offers the lower price. As we can see, the actual price of the hard disk from Store A is $68.04 and the actual price of the hard disk from Store B is $68.44. Therefore, we can conclude that Store A offers a lower price than Store B.
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As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.
Answers
As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.
In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.
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A laptop computer is purchased for $2050. After each year, the resale value decreases by 30%. What will the resale value be after 4 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answers
Answer:
492.205
$492
Step-by-step explanation:
2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.
The resale value of the laptop after 4 years will be approximately $492.
How to calculate the resale value?To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.
b = a x (1 - decrease rate)ⁿ
As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:
new value = $2050 x (1 - 0.30)⁴
Simplifying this expression gives us:
new value = $2050 x 0.70⁴
new value = $2050 x 0.2401
Which simplifies to:
new value = $492.205
Rounding this result to the nearest dollar gives us $492.
Therefore, the resale value of the laptop after 4 years will be approximately $492.
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whats 1+1 you get brainiest
Answers
Answer:
1+1=2 ........................
paige mows 1/8 acre in 1/4 hour.How many acres does paige mow per hour?
Answers
We know that Paige mows 1/8 acre in 1/4 hour
We know that there are 60 minutes in an hour
We know that 1/4 of an hour is 15 minutes
W can divide 60 by 15 to find out how many times Paige can mow 1/8 acres of land in an hour.
\(60/15=4\)
She can mow 1/8 acres of land 4 times in an hour. All we need to do now is multiply 1/8 by 4 to find the total amount of acres she can mow in an hour.
\(\frac{1}{8} *4=\frac{1}{2}\)
Paige can mow 1/2 acre of land per hour
can someone help me solve this
Answers
Answer:
x=21
Step-by-step explanation:
since the triangle is isosceles, the two lower angles are equal.
2(2x+3)=90
4x+6=90
4x=84
x=21
What is the equation of the line that passes through the point (6,4) and has a slope of {2}{3}?
Answers
Answer:
y - 4 = 2/3(x - 6)
OR
y = 2/3x
Step-by-step explanation:
1. Use point slope form:
y - y1 = m(x- x1)
y1 = y coordinate in point
x1 = x coordinate in point
m = Slope
2. Substitute:
y - 4 = 2/3(x - 6)
3. Solve for y (if necessary)
y = 2/3x - 4 + 4
y = 2/3x
Can someone help me asap please and ty
Answers
Answer:
x= 15 y = 24
Step-by-step explanation:
It looks like x and y has 3:4 ratio
or the equation is y= 4/3x
When y= 20, x= 15
When x= 18, y = 24
x= 15 y = 24
If f(x) = x2 + 2x – 10, what is f(-2)?
Answers
Answer:
The answer is -18
Step-by-step explanation:
Actually if the x2 is supposed to be x^2 then it's -10
Answer: -18
Step-by-step explanation:
44% of USA adults says they are more likely to make
purchase during a sale tax holiday. You randomly select 5
adults. find the probability that the number of adults who
say they are more likely to make purchase during a sale
tax holiday is.
a) exactly 3
b)more than 3
c) between 1 and 3 inclusive
Answers
Answer:
c
Step-by-step explanation:
a believe thats the right percentage per person
A population has a mean = 158 and a standard deviation a 21. Find the mean and standard deviation of the sampling distribution of sample means with sample size n-52 The mean is - and the standard deviation is o (Round to three decimal places as needed.)
Answers
To find the mean and standard deviation of the sampling distribution of sample means, we can use the following formulas:
Mean of the sampling distribution (μₙ):
μₙ = μ (mean of the population)
Standard deviation of the sampling distribution (σₙ):
σₙ = σ / √n (standard deviation of the population divided by the square root of the sample size)
Given that the population mean (μ) is 158 and the standard deviation (σ) is 21, and the sample size (n) is 52, we can calculate the mean and standard deviation of the sampling distribution as follows:
Mean of the sampling distribution:
μₙ = 158
Standard deviation of the sampling distribution:
σₙ = 21 / √52
Calculating the standard deviation:
σₙ = 21 / 7.211
Rounding to three decimal places:
σₙ = 2.911
Therefore, the mean of the sampling distribution is 158 and the standard deviation is approximately 2.911, when the sample size is 52.
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The probability that a person older than 35 years has a hemoglobin level less than 9 the probability that a person younger than 25 years has a hemoglobin level above 11 the probability that a person in the 25–35 age group has a hemoglobin level less than 9 the probability that a person older than 35 years has a hemoglobin level between 9 and 11
Answers
Answer:
a) The probability that a person older than 35 years has a hemoglobin level less than 9 = 0.4691
b) The probability that a person younger than 25 years has a hemoglobin level above 11 = 0.4964
c) The probability that a person in the 25–35 age group has a hemoglobin level less than 9 = 0.2500
d) The probability that a person older than 35 years has a hemoglobin level between 9 and 11 = 0.2840
Step-by-step explanation:
The table of data for the question is missing. It is attached to this solution.
All of the required probabilitieswill be read from the table.
a) The probability that a person older than 35 years has a hemoglobin level less than 9
Required probability = (76/162) = 0.4691
b) The probability that a person younger than 25 years has a hemoglobin level above 11
Required probability = (69/139) = 0.4964
c) The probability that a person in the 25–35 age group has a hemoglobin level less than 9
Required probability = (32/128) = 0.25
d) The probability that a person older than 35 years has a hemoglobin level between 9 and 11.
Required probability = (46/162) = 0.2840
Hope this Helps!!!
please answer correctly and quickly all the question-answer all the questions, please
Answers
Answer:
Step-by-step explanation:
81= 3 times k. K equals 27
4x-12 = 18. X is 5
4x-3=5. X is 2
4x-2=38. Answer is C
I hope this helps!
Plz, Plz, mark Brainliest!
+3 +3
4x=8
/4 /4
x=2
14) 81=3k
/3 /3
27=k
The last question) 4x-12=8
+ 12 +12
4x=20
/4 /4
x=5
In a school of 500 students, a random sample of 60
students are asked what their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?
Answers
it would be 2 people