Jordan wants a collapsible puppy pen that gives his puppy at least 35 square feet of area and at Least 10 feet of diagonal length. Should Jordan buy the pen shown? Explain.
Answers
Using area formula, we can find that the diagonal length is not 10ft. So, Jordan should not buy the pen.
Define area of square?A square's area is a measurement of the volume or surface that it takes up. It is equivalent to the two sides' combined lengths. Since the product of a square's two sides determines its size, the area is expressed in square units.
Here in the question,
Jordan wants an area that is of 35 ft² and 10ft diagonal length.
Now in the figure,
Dimensions of the pen are:
Length, l = 6ft.
Width, w = 6ft.
Height, h = 6ft.
So, it's a square.
Area that the puppy pen will provide = l × w
= 6 × 6
=36ft².
Diagonal of the pen is: (As per Pythagoras theorem)
√ (6² + 6²)
= √ (36+36)
= √ 72
= 8.48
The pen does provide 35ft² of area as it has 36ft², but it does not have a diagonal length of 10ft.
Therefore, Jordan should not buy the puppy pen.
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The complete question is:
Jordan wants a collapsible puppy pen that gives his puppy at least 35 square feet of area and at Least 10 feet of diagonal length. Should Jordan buy the pen shown? Explain.
We may determine that the diagonal length is not 10 feet using the area formula. Jordan shouldn't buy the pen.
Define area of square?The volume or area that a square occupies is determined by its area. It is equal to the sum of the lengths of the two sides. The area is given in square units since a square's size is determined by the product of its two sides.
Jordan requests a 35ft² square foot area with a 10-foot diagonal.
Now look at the figure.
The pen is the following size:
Length, l = 6ft.
Width, w = 6ft.
Height, h = 6ft.
So, it's a square.
The area that the puppy kennel will offer
= 6 × 6
=36ft².
Diagonal of the pen is:
= √ (6² + 6²)
= √ (36+36)
= √ 72
= 8.48
The pen has 36ft² square feet, so it does offer 35ft² square feet, but it lacks a 10 foot diagonal.
Jordan shouldn't purchase the Puppy pen as a result.
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The complete question is attached below,
Related Questions
(3a - 6b + 12) - (6a - 2b + 7).
Answers
Answer = −3a − 4b + 5
Point P is located at -18 and point R is at 86 on the same number line. What is the value of Q, the midpoint of PR?
Answers
Answer:
Q = 33
Step-by-step explanation:
midpiont of AB is
\( \frac{a + b}{2} \)
in this case:
(-18 + 86) / 2 =
= 66 / 2=
= 33
Is x^(-2) 5 a polynomial expression? Why or why not?.
Answers
the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.
Answers
Answer:
The polygon has \(12\) sides.
Step-by-step explanation:
Recall that the expression for finding the measure of one interior angle of a regular polygon is \(\frac{180(n-2)}{n}\), where \(n\) is the number of sides the polygon has (and \(n\neq 0\)), which is what we want to find.
Because the measure of one interior angle of the given polygon is \(150\textdegree\), we can write the following equation to solve for \(n\):
\(\frac{180(n-2)}{n}=150\)
Solving for \(n\), we get:
\(\frac{180(n-2)}{n}=150\)
\(\frac{180n-360}{n}=150\) (Distribute the \(180\) in the numerator)
\(180n-360=150n\) (Multiply both sides of the equation by \(n\) to eliminate the denominator and simplify)
\(30n-360=0\) (Subtract \(150n\) from both sides of the equation and simplify)
\(30n=360\) (Add \(360\) to both sides of the equation to isolate \(n\) and simplify)
\(\bf n=12\) (Divide both sides of the equation by \(30\) to get rid of \(n\)'s coefficient and simplify)
Therefore, the polygon has \(\bf 12\) sides. Hope this helps!
Represent x = 3 and y = 5 using function notation.
O A. f(3) = 15
O B. f(x) = 5
O C. f(5) = 3
OD. fl) = 3
O E. f(3) = 5
Answers
Answer:
E
Step-by-step explanation:
note that y = f(x)
Given x = 3 and y = 5 , then
f(3) = 5 → E
Where is the answer to the expression 3 − 6 located on a horizontal number line?
Answers
Answer:
6 units to the left of 3
I did the test
Use the formulae above to answer this question. The doubling time of a population of annual plants is 14 years. Assuming that the initial size of the population is 500 and that the rate of increase remains constant, how large will the population be after 42 years
Answers
Using the doubling time and exponential growth formulae, the population of annual plants will be 4,000 after 42 years, assuming a constant rate of increase and an initial population size of 500.
To answer your question, we will use the doubling time formula and exponential growth formula. Given that the doubling time of a population of annual plants is 14 years, the initial size is 500, and we want to know the population size after 42 years, we can follow these steps:
1. Determine the number of doubling times within 42 years: Since the doubling time is 14 years, we can calculate the number of doubling times by dividing the total time (42 years) by the doubling time (14 years):
Number of doubling times = 42 / 14 = 3
2. Calculate the growth factor using the doubling time: In exponential growth, the population size increases by a growth factor. Since the population doubles in 14 years, the growth factor (g) is 2 (doubled).
3. Apply the exponential growth formula: The formula for exponential growth is P(t) = P0 * g^t, where P(t) is the population size at time t, P0 is the initial population size, g is the growth factor, and t is the number of doubling times.
4. Plug in the given values and solve for P(t): We know the initial population size (P0) is 500, the growth factor (g) is 2, and the number of doubling times (t) is 3. So the formula becomes:
P(t) = 500 * 2^3
5. Calculate the population size after 42 years: P(t) = 500 * 8 = 4000
In conclusion, using the doubling time and exponential growth formulae, the population of annual plants will be 4,000 after 42 years, assuming a constant rate of increase and an initial population size of 500.
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i need help plss its a spring break thing and i need help
Answers
Answer:
It's B, because thats where the two points cross
Step-by-step explanation:
Bob is throwing a party. He had 22 pints of soda. At the end of the party, there are 8 pints of soda. How many cups of soda were drank during the party?
Answers
Answer:
14 pints were drank
Step-by-step explanation:
22 pints - 8 pints =
Answer:
14 pints
Step-by-step explanation:
22 - 8 is 14 pints, now just convert the pints to cups, that would be 28 cups since 1 pint is 2 cups so 14 x 2 is 28, hope this helps
7x+14y=21,-7x+7y=7 using elimation
Answers
Answer:(x,y)=(1/3 , 4/3)
Step-by-step explanation:
histograms: answer a and b, find median and lower quartile
Answers
Answer:
A)median score = 116
b)lower quartile= 102
ANSWER PLEASEEEE
i will mark the brainliest too whoever answers
Answers
Answer:
the first answer is 17. The second is 24. good luck!
Answer:
17 units
25 units
Step-by-step explanation:
−9⋅(5j+k)=minus, 9, dot, left parenthesis, 5, j, plus, k, right parenthesis, equals
Answers
The result of the expression -9(5j+k) is -45j - 9k
The expression is
-9(5j+k)
The expression is the mathematical statement that consist of variables and constants with the arithmetic operation
The distributive property states that multiplying the sum of two or more variables by a number gives the same result as when each variable is multiplied individually by the number and the products are added together
The distributive property of addition
A(B+C) = AB + AC
The distributive property of subtraction
A(B-C) = AB - AC
The expression is
-9(5j+k)
Apply the distributive property
-9(5j+k) = -9×5j + -9×k
= -45j - 9k
Hence, the result of the expression -9(5j+k) is -45j - 9k
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Choose 5 ordered pairs whose second component is the opposite of the first component.
Answers
The 5 ordered pairs whose second component is the opposite of the first component are (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
Ordered pairs:
An ordered pairs is a composition of the x coordinate and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
It can be written as (a,b).
Here
a represents the x coordinate and
b represents the y coordinate.
It helps to locate a point on the Cartesian plane for better visual comprehension.
Given:
The second component is the opposite of the first component.
Here we need to find the 5 ordered pairs for that.
For the given statement,
Let x be the first component and y be the second component.
So it can be written as,
=> y = -x
So, the five ordered pairs are,
=> 1 = -1
=>2 = -2
=> 3 = -3
=> 4 = -4
=> 5 = -5
So, the ordered pairs are,
(x,y) => (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
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Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?
Answers
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
Look at the triangles. What information is needed to prove that △ABC∼△DEF?
Options are listed at the bottom
Answers
Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
AB and DE, BC and FE, then AC and DF
The solution is worked out using sides BC and FE, then AC and DF
BC / AC = FE / DF
8 / AC = 16 / 20
reducing the fraction 16/20 gives
8 / AC = 8 / 10
hence AC = 10
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The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
Answers
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
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what is the equivalent expression for a+a+a
Answers
Answer:
3a
Step-by-step explanation:
Note they all have the same amount of variables. Combine by adding:
a + a + a = 3a
3a is your answer.
~
Answer:
3a
Step-by-step explanation:
The answer is 3a simply because there is three a's, so just multiply one a by 3
Consider the following formulas of first-order logic: \forall x \exists y(x\oplus y=c) , where c is a constant and \oplus is a binary function. For which interpretation is this formula valid?
Answers
The formula \forall x \exists y(x\oplus y=c) in first-order logic states that for any value of x, there exists a value of y such that the binary function \oplus of x and y is equal to a constant c.
To determine the interpretations for which this formula is valid, we need to consider the possible interpretations of the binary function \oplus and the constant c.
Since the formula does not provide specific information about the binary function \oplus or the constant c, we cannot determine a single interpretation for which the formula is valid. The validity of the formula depends on the specific interpretation of \oplus and the constant c.
To evaluate the validity of the formula, we need additional information about the properties and constraints of the binary function \oplus and the constant c. Without this information, we cannot determine the interpretation(s) for which the formula is valid.
In summary, the validity of the formula \forall x \exists y(x\oplus y=c) depends on the specific interpretation of the binary function \oplus and the constant c, and without further information, we cannot determine a specific interpretation for which the formula is valid.
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What is the answer to this question?
Answers
Answer:
10.5cms
Step-by-step explanation:
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CAN WE BE FRIENDS
20/4=5
Hope this helped
4 What quantity represents the total change in the volume of water in the birdbath after
two days? Write your answer as a mixed number.
Answers
When these two numbers are subtracted, the difference is 2 3/4, which is the total change in the volume of water in the birdbath after two days. This can be written as a mixed number, which would be 2 3/4.
The total change in the volume of water in the birdbath after two days can be determined by subtracting the starting volume of water (1 1/2) from the ending volume of water (4 1/4).
The total change in the volume of water in the birdbath after two days is an important figure to calculate in order to understand the amount of water that has been added or removed from the birdbath. To calculate this figure, one must subtract the starting volume of water from the ending volume of water. In this scenario, the starting volume of water was 1 1/2 and the ending volume of water was 4 1/4. When these two numbers are subtracted, the difference is 2 3/4, which is the total change in the volume of water in the birdbath after two days. This can be written as a mixed number, which would be 2 3/4. This figure is important to know as it can help one determine how much water has been added or removed from the birdbath over a certain period of time.
the complete question is :
A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.
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13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source
Answers
The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.
The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.
By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.
The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.
Hence, the correct answer is "None of the above."
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9+9000000+90+900+9000+90000+900000+1
Answers
Answer:
10,000,000
Step-by-step explanation:
A linear inequalities question pls I need answers 3/2(x-1)<1-2
Answers
The solution to the linear inequality 3/2(x-1) < 1-2 is x < 4/3. This means that any value of x less than 4/3 will satisfy the inequality.
To solve the linear inequality 3/2(x-1) < 1-2, we can start by simplifying both sides of the inequality. Distributing 3/2 to the terms inside the parentheses gives us (3/2)x - 3/2 < -1. Combining like terms, we have (3/2)x - 3/2 + 1 < -1 + 1, which simplifies to (3/2)x - 1/2 < 0. Next, we add 1/2 to both sides of the inequality to isolate (3/2)x, resulting in (3/2)x < 1/2.
Finally, dividing both sides of the inequality by 3/2 gives us x < 1/2 ÷ (3/2), which simplifies to x < 4/3. Therefore, any value of x less than 4/3 will satisfy the given inequality.
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The smaller the cookies the more I can fit in a container. Which graph models this situation?
A)А
B)B
C)C
D)D
Answers
Answer:
C: as the size increases the amount decreases. this means as the x-value increases, the y-value decreases, which is shown by graph C.
Answer:
your answer is c )c and where are you live
let f be a function with derivative given by f x ¢( ) = 3 x + 1. what is the length of the graph of y f = ( )x from x = 0 to x = 1.5 ?
Answers
If "f" is function with derivative as f'(x) = √(x³ + 1), then length of graph of y = f(x) from x = 0 to x = 1.5 is (b) 2.497.
To find the length of the graph of y = f(x) from x = 0 to x = 1.5, we use the arc-length formula for a function y = f(x):
Length = ∫ᵇₐ√(1 + [f'(x)]²) dx,
Given the derivative : f'(x) = √(x³ + 1), we substitute it into the arc-length formula:
Length = \(\int\limits^{1.5}_{0}\) √(1 + (√(x³ + 1))²) dx,
Simplifying the expression inside the square root:
We get,
Length = \(\int\limits^{1.5}_{0}\) √(1 + x³ + 1) dx
= \(\int\limits^{1.5}_{0}\)√(x³ + 2) dx
= 2.497.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Let f be a function with derivative given by f'(x) = √(x³ + 1). What is the length of the graph of y = f(x) from x = 0 to x = 1.5?
(a) 4.266
(b) 2.497
(c) 2.278
(d) 1.976
Jen has 3 bags of pears. Each bag has 5 pears. If Jen gives the same number of pears to 4 friends, how many pairs will each friend get?
Answers
Answer:
3 pears each
Step-by-step explanation:
3 bags of pears
5 pears in each
1=5
2=5
3=5
thats 15 pears
15/4=3.75 (so its just 3)
The number of pears each friend get will be 3.75 pears for each friend.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Jen has 3 bags of pears. Each bag has 5 pears. Then the total number of the pears will be given by the multiplication of the numbers 3 and 5.
Total pears = 3 x 5
Total pears = 15 pears
If Jen gives the same number of pears to 4 friends.
Then the number of pears each friend gets will be
⇒ 15 / 4
⇒ 3.75 pears for each friend
Thus, the number of pears each friend get will be 3.75 pears for each friend.
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A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish
Answers
89 /3
frogs = 29.6
fish = 29.6
dragonflies = 29.6
all of them equal 89
a = fish = 12
b = frog = 29
c = dragonflies = 48
a + b + c = 89
c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)
Then substitute for b and c in the big equation:
a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12
Now use this to solve for b and c
c = 4(12) = 48
b = 2(12) + 5 = 24 + 5 = 29
Please let me know if you have any questions.
if the range a1:a4 consists of the values 1,2,3,4 and the range b1:b4 consists of the values 9,8,7,6, what is the value of the sumproduct(b1:b4, a1:a4)?
Answers
Answer: 70
Step-by-step explanation:
sumproduct(b1:b4,a1:a4)=(1)(9)+(2)(8)+(3)(7)+(4)(6)=9+16+21+24=70
sumproduct(b1:b4,a1:a4)=70
Find the co-ordinate of a pont on Y-axis which is at a distance of 17 units from the point(-8,3)
Answers
Answer:
15 units
Step-by-step explanation:
√[ 17² - ( - 8)² ] = 15 ( on y-axis )
Coordinate of the point = ( 0 , 15 )