The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.
Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.
Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:
6x = 48.
Solving for x,
x = 8.
Therefore, each side of the yard is 8 meters long.
Area of the yard inside the fence = 8 * 8 = 64 square meters.
This means that the fence surrounds a square yard with an area of 64 square meters.
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how many feet are in one story on the empire state building
Answer:
The building itself is 1,250 feet and 102 stories high.
Uhm what class is this for
Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
If M = 5x2 + 7x - 4 and N = -3x2 - 4x + 5, then M - N equals
А
2x2 + 3x + 1
B
2x2 + 11x - 9
8x2 + 3x + 1
D
8x2 + 11x - 9
the answer is A explanation is in the picture.
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
12
Step-by-step explanation:
\(\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12\)
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ (x/4) + 17 = 20
Then the value of x will be,
→ (x/4) + 17 = 20
→ x/4 = 20 - 17
→ x/4 = 3
→ x = 3 × 4
→ [ x = 12 ]
Hence, the value of x is 12.
Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”
The answer to the problem 18 + pi is an irrational number.
The sum of 18 and pi, 18 + pi, will result in an irrational number.
To understand why the result is irrational, let's first clarify the definitions of rational and irrational numbers.
A rational number is any number that can be expressed as the ratio of two integers, while an irrational number cannot be expressed as such and has an infinite non-repeating decimal expansion.
In this case, 18 is a rational number since it can be expressed as 18/1. However, pi (π) is an irrational number.
Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter, and its decimal representation goes on infinitely without repeating.
It is approximately equal to 3.14159.
When we add a rational number (18) to an irrational number (pi), the result is always an irrational number.
This is because adding a rational number to an irrational number does not change the irrational nature of the latter.
The irrationality "overrides" the rationality, resulting in an irrational sum.
Therefore, the answer to the problem 18 + pi is an irrational number.
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Question : Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.” 18 + pi
Answer:
irrational number.
Step-by-step explanation:
The stem-and-leaf plot shows kilometers walked by participants in a charity benifit walk. Use it to answer the questions. a. describe how to find the range of the data set. if you answer u can get 64 points.
The range of the dataset is 5.2.
What is the range?
A stem-and-leaf plot is a table that is used to display a dataset. A stem-and-leaf plot divides a number into a stem and a leaf. A stem-and-leaf plot is similar to a histogram. The stem is the first number in the digit while the leaf is the last digit. For example in the number 12.3, 12 would be the stem and 3 would be the leaf.
The range is the difference between the largest number in a dataset and the smallest number in the dataset. Range is used to measure the variation of a dataset.
Range = largest number - smallest number
17.5 - 12.3 = 5.2
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2a + b = 12 (for b)
A. b = 2a + 12
B. b = -2a + 12
C. b + 2a - 12
D. b = -2a - 12
Step-by-step explanation:
2a + b = 12
b= 12 -2a
HOPE IT HELPS YOU
Answer:
B. b = -2a + 12
Step-by-step explanation:
2a + b = 12
subtract 2a from both sides
2a - 2a + b = 12 - 2a
simplify
b = 12 - 2a
This can be rewritten as b = -2a + 12
b = -2a + 12 matches letter choice B
What fraction is shown on the number line?
Answer:
3/8
Step-by-step explanation:
answer in the comments fast plz
Answer:
SSA
Step-by-step explanation:
It can be seen that they have a common 90 degree angle and both of the sides are the same, therefore proving that these two triangles are congruent.
fritz normally commutes at an average speed of 20 miles per hour, but this morning's heavy traffic held him to only 15 miles per hour. he must determine whether he can drive home fast enough this evening in order to maintain his usual round-trip average speed.
Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.
To determine whether Fritz can drive home fast enough this evening to maintain his usual round-trip average speed, we need to consider the distance he needs to travel.
Let's assume the distance between his home and work is D miles.
Since Fritz commutes at an average speed of 20 miles per hour, the time it takes for him to drive to work is D/20 hours. This is the time he spends in the morning.
Now, this morning's heavy traffic reduced his speed to 15 miles per hour. Therefore, the time it took him to drive to work this morning was D/15 hours.
To maintain his usual round-trip average speed, the total time he spends on his commute needs to be the same for both trips. This means the time it takes him to drive back home in the evening should also be D/15 hours.
To determine whether he can drive home fast enough, we can set up an equation: D/15 = D/20.
To solve this equation, we can cross-multiply 20D = 15D.
Now, we can divide both sides of the equation by 15: 20D/15 = D.
Simplifying this, we find that D cancels out, leaving us with 20/15 = 4/3.
The conclusion is that Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.
Fritz can drive home fast enough this evening to maintain his usual round-trip average speed.
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Fritz will not be able to maintain his usual round-trip average speed if he drives home at a speed of 15 miles per hour.
Explanation:
In order to determine if Fritz can drive home fast enough to maintain his usual round-trip average speed, we need to calculate the distance of his commute and the time it takes him. Let's assume his commute distance is 40 miles (20 miles each way). When he commutes at 20 miles per hour, it takes him 2 hours to complete the round trip (40 miles / 20 miles per hour = 2 hours).
Now, with the heavy traffic slowing him down to 15 miles per hour, it will take him 2.67 hours to complete the round trip (40 miles / 15 miles per hour = 2.67 hours).Therefore, Fritz will not be able to maintain his usual round-trip average speed if he drives home at a speed of 15 miles per hour.
Physics: Calculating average speed and determining if Fritz can maintain his usual round-trip average speed.
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the ratio of ________to ____________is 4:6 because ther are 4 __________ for every 6 ___________.
Answer:
the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.
Step-by-step explanation:
HELP how do I find the cumulative frequency
Answer:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100
Step-by-step explanation:
From the frequency distribution table given in the question, the cumulative frequency (c.f) can be computed by adding each frequency to the sum or total of the preceding frequencies. This makes the last value of the cumulative frequency (c.f) to be equal to the total of the frequency.
Based on this explanation, we have:
mass m (kg) frequency mass m (kg) c.f
0 < m ≤ 0.1 2 m ≤ 0.1 2
0.1 < m ≤ 0.2 7 m ≤ 0.2 9
0.2 < m ≤ 0.5 32 m ≤ 0.5 41
0.5 < m ≤ 0.8 46 m ≤ 0.8 87
0.8 < m ≤ 1 13 m ≤ 1 100
From the above, we can observe that:
Total of the frequency = 2 + 7 + 32 + 46 + 13 = 100
The last values of the cumulative frequency (c.f) = 100
Therefore, we have:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100
rewrite in the form hint: expand as a taylor polynomial of degree 6 about . using this, what are the coefficients ? what is the error in this case?
The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as
\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)
The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.
The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by
\(ε = (2^6/6!)f^(6)(c)\)
for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
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which of the following are a problem with a parallel conversion: (select all that apply) :a) there is a higher riskb) the old hardware might failc) there is a lower riskd) the users have to enter data into both systemse) there is an abrupt conversion
A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.
One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.
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x + y = 8
2x2 – y = –5
Answer:
x=-2,y=10
Step-by-step explanation:
y=8-x.............equation 1
4-y=-5..........equation 2
Now,
putting the value of y in equation 2,
4-(8-x)=-5
4-8+x=-5
-3+x=-5
x=-5+3
x=-2
Then,
putting the value of x in equation 1
y=8+2
y=10
Each of the following is a strategy for generating a hypothesis, EXCEPT:
A) introspection.
B) finding the exception to the rule.
C) thinking of things unilaterally.
D) thinking about variables in terms of amount or degrees.
The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.
Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.
Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.
Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.
Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.
On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.
Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.
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help me this is due tommorow
Answer:
D
Step-by-step explanation:
D
Answer:
Step-by-step explanation:
hahah
WHICH ONE IS A UNIT RATE?
And why
$1.25
1 slice
$10.00
8 slices
Answer:
$1.25 for one slice is the uint rate is the measure B
Step-by-step explanation:
will give brainlyist if quick Which of the following represents the graph of the equation y = 2x - 3?
Answer:
Graph B
Step-by-step explanation:
Slope: 2/1
Y-Intercept: -3
help me !!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given a formula for the balance in an account earning compound interest, you want the balance after 4 years when the principal invested is $500, the interest rate is 11%, and compounding occurs once per year.
EvaluationFor P=500, r=0.11, n=1, t=4 the formula is ...
A = 500(1 +0.11/1)^(1·4)
A = 500(1.11^4) = 500(1.51807041) ≈ 759.04
There will be $759.04 in the account after 4 years.
A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
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Algebra II Question Four 4-2 HW
Answer:
2
Step-by-step explanation:
Solve
\( log_{ \sqrt{2} }x = 6\)
then value of x =?
In a box of colored lights,
NI
of the lights are red, of the lights are blue, and 11 / of the lights are green. The number of lights in the box is greater than 10
Light Bulbs
What is the smallest number of lights that could be in the box?
11
12
18
36
The smallest possible number of lights in the box is 11.
How to find the smallest possible number of lights in the box?Let's use the fact that the number of lights in the box is greater than 10 to find the smallest possible number of lights. We know that:
- N is the number of red lights
- M is the number of blue lights
- 11/36 of the lights are green
The total number of lights is N + M + 11/36(N+M). We want to find the smallest possible value of this expression that is greater than 10.
N + M + 11/36(N+M) > 10
Multiplying both sides by 36 to get rid of the fraction gives:
36N + 36M + 11(N+M) > 360
Expanding the brackets gives:
47N + 47M > 360
Dividing both sides by 47 gives:
N + M > 360/47
N and M must be integers, so the smallest possible value of N+M that satisfies this inequality is 8 (since 8+1=9<360/47 and 9+1=10>360/47).
We can choose N and M such that N+M=8 and still satisfy the given conditions. For example, we could have N=3 and M=5.
Then, the number of green lights is 11/36(8) = 2.75, but since the number of lights must be an integer, we can round up to 3.
So the smallest possible number of lights in the box is N+M+3 = 11.
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how do you solve it and how do you explain?
Answer:
so the answer is 30
now to find the answer we just need to do this...
step 1: we need to simplify the equations from both sides.
\(\frac{-2}{5} x = -12\)
then we multiply on both sides by \(\frac{5}{-2}\)
\((\frac{5}{-2}) *(\frac{-2}{5}x )= (\frac{5}{-2} )*(-12)\)
which equals x= 30
Step-by-step explanation:
hope this helps!!
A continuous iv is infusing at the rate of 15 gtt/min. the drop factor is 10 gtt/ml. how many milliliters will infuse over 1 1 2hours?
Over a period of 1.5 hours, a continuous IV infusion at a rate of 15 gtt/min (with a drop factor of 10 gtt/ml) will result in 135 milliliters being infused.
To calculate the number of milliliters that will infuse over 1.5 hours, we need to convert the infusion rate from drops per minute to milliliters per hour.
Infusion rate: 15 gtt/min
Drop factor: 10 gtt/ml
First, we can calculate the infusion rate in milliliters per minute:
Infusion rate (ml/min) = Infusion rate (gtt/min) / Drop factor (gtt/ml)
Infusion rate (ml/min) = 15 gtt/min / 10 gtt/ml = 1.5 ml/min
Next, we can convert the infusion rate to milliliters per hour:
Infusion rate (ml/hour) = Infusion rate (ml/min) × 60 min/hour
Infusion rate (ml/hour) = 1.5 ml/min × 60 min/hour = 90 ml/hour
Finally, we can calculate the total volume that will infuse over 1.5 hours:
Volume (ml) = Infusion rate (ml/hour) × Time (hours)
Volume (ml) = 90 ml/hour × 1.5 hours = 135 ml
Therefore, 135 milliliters will infuse over 1.5 hours.
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A rectangular tarp is 2 times as long as it is
wide. Its width is 8 yards. What is the area
of the tarp?
24 sq. yards
hope it helps...!!!
(check the pic) please help asp!! 37 points for this and if you answer this fully I will make you brainilest!
Answer:
See explanation
Step-by-step explanation:
During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!
which inequalities complete the system? a. s – l < 30 8s – 12l ≤ 160 b. s l < 30 8s 12l ≤ 160 c. s l > 30 8s 12l ≤ 160 d. s l < 30 8s 12l ≥ 160
The correct inequalities that complete the system are:
d. s l < 30 8s 12l ≥ 160
Let's analyze each option:
a. s – l < 30 8s – 12l ≤ 160:
This option does not complete the system because it does not specify the relationship between 8s - 12l and 160.
b. s l < 30 8s 12l ≤ 160:
This option does not complete the system because it does not specify the relationship between 8s - 12l and 160.
c. s l > 30 8s 12l ≤ 160:
This option does not complete the system because it specifies the opposite relationship between sl and 30 compared to the given inequality s - l < 30.
d. s l < 30 8s 12l ≥ 160:
This option completes the system because it maintains the given inequality s - l < 30 and specifies the relationship between 8s - 12l and 160, which is 8s - 12l ≥ 160.
Therefore, the correct option is d. s l < 30 8s 12l ≥ 160.
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hii help pls y’all:/
Answer:
I think the answer is 25%
Answer:
25%is my guess
Step-by-step explanation: