Answer:
1400m^2
Step-by-step explanation:
Let the breadth of the garden be a, therefore the length of the garden is (a+5).
The perimeter of the garden is the sum of all its sides, therefore:
Perimeter = a + a + (a+5) + (a+5) = 150
Simplifying the LHS of the equation:
4a +10 = 150
Subtracting 10 from both sides of the equation:
4a = 140
Dividing both sides by 4:
a = 35 = breadth
Therefore the length of the garden = (a + 5) = 40
Recall that the area of the garden is its length multiplied by its breadth, therefore:
Area = 35*40 = 1400
Answer:
area=1400
Step-by-step explanation:
length(l)=x+5
breadth(b)=x
Perimeter=2(l+b)
150 =2(x+5+x)
150 =2x+10+2x
150-10=4x
140=4x
x=35
therefore breadth=35
length=40
area=l*b
=35*40
=1400
true or false when desired information is available for all objects in the population, we have what is called a census
True when desired information of Census is available for all objects in the population
A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.
A census can provide highly accurate information on the entire population, without any risk of sampling error.
However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.
However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.
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If A = (3.1∠63.2°) and B = (6.6∠26.2°) then solve for the sum (A + B) and the difference (A − B).
Part A
Enter the real part of (A + B)
Part B
Enter the imaginary part of (A + B)
Part C
Enter the real part of (A − B)
Part D
Enter the imaginary part of (A − B)
Part A: The real part of (A + B) is 9.7
Part B: The imaginary part of (A + B) is approximately 5.68
Part C: The real part of (A - B) is -3.5
Part D: The imaginary part of (A - B) is approximately -0.14.
Given that,
A = 3.1∠63.2°
B = 6.6∠26.2°
Part A: To find the real part of (A + B), we add the real parts of A and B.
In this case,
The real part of A is 3.1 and the real part of B is 6.6.
Adding them together, we get:
Real part of (A + B) = 3.1 + 6.6 = 9.7
So, the real part of (A + B) is 9.7.
Part B: To find the imaginary part of (A + B),
Add the imaginary parts of A and B.
In this case,
The imaginary part of A can be calculated using the formula
A x sin(angle),
Which gives us:
Imaginary part of A = 3.1 x sin(63.2°)
≈ 2.77
Similarly, for B:
Imaginary part of B = 6.6 x sin(26.2°) ≈ 2.91
Adding these together, we get:
Imaginary part of (A + B) ≈ 2.77 + 2.91
≈ 5.68
So, the imaginary part of (A + B) is approximately 5.68.
Part C: To find the real part of (A - B),
Subtract the real part of B from the real part of A.
In this case,
The real part of A is 3.1 and the real part of B is 6.6.
Subtracting them, we get:
Real part of (A - B) = 3.1 - 6.6
= -3.5
So, the real part of (A - B) is -3.5.
Part D: To find the imaginary part of (A - B),
Subtract the imaginary part of B from the imaginary part of A.
Using the previously calculated values, we have:
Imaginary part of (A - B) ≈ 2.77 - 2.91
≈ -0.14
So, the imaginary part of (A - B) is approximately -0.14.
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10. What is the perimeter of the triangle with sides 15 in, 20 in, and 25 in?
O 72 in
60 in
300 in
O 150 in
k
Answer:
P = 60 inches
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. So, to find perimeter, add up all the sides.
The side lengths were given, add them:
15 + 20 + 25
= 60
The perimeter is 60 inches.
I really need help ASAP ILL GIVE BRAINLY
Answer: D.
Step-by-step explanation:
You can start out with the form AX = B and solve for matrix X that would yield the answer
Then X = (A^-1)(B)
A = [1 -1]
[1 1]
A^-1 = (1/(1 - (1)(-1)))*[1 1]
[-1 1]
which can be written as (1/2) * [1 1]
[-1 1]
B = [26]
[6]
(A^-1)(B) = (1/2)*[1 1] [6]
[-1 1] [26]
= (1/2)*[32]
[20]
= [16]
[10]
Math is often used to
determine the correct dosage for medications;
create scale drawings;
graph data from scientific investigations.
Given this information, what conclusion can be made about mathematics?
A.
The use of mathematics is limited to only a few situations.
B.
Mathematics can be used in many different kinds of tasks.
C.
Mathematics has no useful applications.
D.
All scientific investigations must use mathematics.
Reset
It can be concluded that Mathematics can be used in many different kinds of task.
Mathematics covers a very broad range of field when it comes to application and usage. Task in several fields such as medicine , Architecture, Biology , Agriculture and so on make use of Mathematics at different capacity.
Graphing of data, Creating drawing , Making calculation and drawing inference are a few usage of mathematics in our daily tasks.
Therefore, Mathematics can be used in different kinds of tasks.
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What is the decimal expansion of the following fraction?
1/22
A.0.045
B.0.22
C.1.22
D.0.045
The answer is either A or D, 0.045
Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???
Answer:
BF = |4 – 1| = 3
FC = |4 – 0| = 4
Using the Pythagorean Theorem to find BC:
BC2 = BF2 + FC2
BC2 = 32 + 42
BC2 = 9 + 16
BC = sqaure root 25
BC = 5
Step-by-step explanation:
The length of BC is 5 unit.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.
Using the Pythagorean Theorem to find BC:
BC^2 = BF^2 + FC^2
BC^2 = 32 + 42
BC^2 = 9 + 16
BC = √25
BC = 5
So, BF = |4 – 1| = 3
FC = |4 – 0| = 4
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Please help, true or false?
Jordan answered 69 questions on his test correctly. He answered 92% of the test questions correctly. How many questions were on the test?
92% = 69 questions
100% = 75 questions
The total number of questions on the test is 75 questions.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Total number of answers answered correctly = 69
The percentage of the test questions answered correctly = 92%
This means,
92% = 69
The total number of questions in percentage = 100%
Now,
92% = 69
Multiplying 100/92 on both sides.
100% = 100/92 x 69
100% = 75
Thus,
The total number of questions on the test is 75 questions.
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what is the answer ?
lvl - ez
Answer:
2
Step-by-step explanation:
Fallacies of relevance
I need to describe a time a work I used fallacies of relevance
please help..
Fallacies of relevance are types of logical fallacies that occur when an argument is presented without a relevant connection to the subject matter.
Rather than addressing the topic, these fallacies are aimed at the listener's feelings, emotions, or biases.There are many different types of fallacies of relevance, but some of the most common are ad hominem, straw man, appeal to authority, and red herring. Ad hominem, for example, is a type of fallacy that attacks the speaker rather than addressing the argument they are presenting.. It can undermine the quality of your argument and make you seem less credible.
However, if you want to describe a time when you used these fallacies, you might think back to a situation where you were arguing with someone and felt like you were losing the argument. In this case, you might have resorted to a fallacy of relevance to try to regain control of the conversation. In conclusion, it is important to avoid using fallacies of relevance in your arguments. Instead, focus on addressing the topic at hand and presenting logical, evidence-based arguments.
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NUMBER SENSE Events A and B are independent. Suppose P(B)=0.4 and P(A and B)=0.13 . Find P(A) .
Answer:
Step-by-step explanation:
A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
42 in2
52 in2
104 in2
128 in2
The area of the painted face of the brick is 104 square inches units
What is the area of the painted face of the brick?The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11)
The distance between the coordinates are
√[(-4 + 4)^2 + (2 + 11)^2] = 13
√[(-4 - 4)^2 + (-11 + 11)^2] = 8
So, we have
Area = 13 * 8
Area = 104
Hence, the area is 104 square inches units
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Answer: The answer is C
Step-by-step explanation:
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, with replacement, from the basket?
Answer:
144/441
Step-by-step explanation:
There are 18+24=42 total socks
There are 24 black socks
So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441
Answer:
189
Step-by-step explanation:
3^5*2^-6 please answer fast
\(3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}\)
A pair of boots was originally $180, but today is being sold for $135. What is the percent of decrease in the price?
Answer:
I guess 25%..
Step-by-step explanation:
Solution,
Original price = $180Reel price = $ 135Here,
Amount of decrease= $180 - $135
= $45
Now,
Percent of decreasement = $45/$180 × 100%
= 25%
Jack paid $13.75 to buy 3 slices of pizza and 4 hot dogs at a concession stand. Sarah paid $9.75 to buy 2 slices of pizza and 3 hot dogs from the same concession stand. What is the price of a slice of pizza?
Please help! I will give brainliest to whoever explains how or gets it right
Find the exact value of the real number y if it exists. Do not use a calculator y arctan (-1) Select the correct choice and fill in any answer boxes in your choice below O A. y-arctan(-1) O B. arctan (-1) does not exist (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the
The exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.
To find the exact value of the real number y using y = arctan(-1), we can evaluate the arctan function at -1.
The arctan function gives us the angle whose tangent is a given value. In this case, we want to find the angle whose tangent is -1.
Since the tangent of π/4 is equal to 1, we can write -1 as -tan(π/4).
Therefore, y = arctan(-1) = arctan(-tan(π/4)).
Now, arctan and -tan are inverse functions, so they cancel each other out, resulting in:
y = π/4.
Therefore, the exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.
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n an experiment, a researcher believes that by manipulating variable x he or she can cause changes in variable y. however, variable c is causing all of the change in variable y and is unaffected by variable x. variable c is a
Variable c is acting as a confounding variable in this experiment. A confounding variable is an extraneous variable that is related to both the independent variable and the dependent variable.
It can influence the results of an experiment and create a false relationship between the independent and dependent variables.
In this case, the researcher initially believed that variable x was causing the changes in variable y, but it turns out that the changes were actually caused by variable c.
To avoid confounding variables, researchers need to carefully design their experiments and control for any potential confounders.
This can be done through randomization, controlling the environment, or using statistical techniques like analysis of covariance.
By doing so, researchers can ensure that any observed changes in the dependent variable are truly due to the manipulation of the independent variable.
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Given that a(t)=(1.02)t(1−0.04t)^-1, for 0≤t<25, calculate
δ10.
δ10 is approximately equal to -25.5 ln(0.6) based on the given function a(t).
To calculate δ10, we need to evaluate the integral of a(t) from t = 0 to t = 10.
Let's break down the process step by step:
Given: \(a(t) = (1.02)t(1 - 0.04t)^{-1\)
Integrate the function a(t).
\(\int a(t) dt = \int(1.02)t(1 - 0.04t)^{-1} dt\)
Apply the substitution method.
Let u = 1 - 0.04t
Then, du = -0.04 dt, or dt = -du/0.04
Rewriting the integral with the substitution:
\(\int(1.02)t(1 - 0.04t)^{-1}dt = \int(1.02)t/u (-1/0.04) du\)
= -25.5 ∫ t/u du
Step 3: Integrate with respect to u.
-25.5 ∫ t/u du = -25.5 ln|u| + C
= -25.5 ln|1 - 0.04t| + C
Evaluate the definite integral.
To calculate δ10, we substitute the upper and lower limits of integration into the antiderivative:
δ10 = [-25.5 ln|1 - 0.04t|] from 0 to 10
= [-25.5 ln|1 - 0.04(10)|] - [-25.5 ln|1 - 0.04(0)|]
= [-25.5 ln|0.6|] - [-25.5 ln|1|]
= -25.5 ln|0.6|
Using a calculator, we can evaluate the natural logarithm:
δ10 ≈ -25.5 ln(0.6)
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your favorite restaurant has a promotion where you can win free food. you will roll 2 dice. the sum of the 2 dice will determine which prize you receive. 2-column table with 11 rows. column 1, outcome, entries 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. column 2, probability, entries startfraction 1 over 36 endfraction, startfraction 2 over 36 endfraction, startfraction 3 over 36 endfraction, startfraction 4 over 36 endfraction, startfraction 5 over 36 endfraction, startfraction 6 over 36 endfraction, startfraction 5 over 36 endfraction, startfraction 4 over 36 endfraction, startfraction 3 over 36 endfraction, startfraction 2 over 36 endfraction, startfraction 1 over 36 endfraction. which scenario uses the addition rule for mutually exclusive events? p(rolling a sum of 4) p(rolling a sum of 4 or rolling a sum of 5) p(rolling a sum of 12 or rolling a double 6) p(rolling a sum of 11 and rolling a sum of 12)
Answer: P(rolling a sum of 4 or rolling a sum of 5)
Step-by-step explanation: edge2023
The scenario that uses the addition rule for mutually exclusive events is:
p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)
This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.
The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36
The other scenarios do not use the addition rule for mutually exclusive events:
p(rolling a sum of 4) is a single event and does not involve a second event.
p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.
p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.
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How do the points of a figure move in a translation?
Answer:
they move side to side and up and down on both axis- they x and y
Step-by-step explanation:
passed math with an A+
giải phương trình x/30-x/40=5/4
Answer:
x=150
Step-by-step explanation:
x/30-x/40=5/4
or, (4x-3x)/120=5/4
or, x/120=5/4
or, x=600/4
or, x=150
True or False.
If a set of vectors {v1, v2, ...., vp} in R^n is linearly dependent, then p>n.
The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.
Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:
1. The set of vectors is linearly dependent.
2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:
c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)
For the above to be possible, the following must hold true: p≥n
Because in Rⁿ, each vector has n components.
So, the total number of unknowns is p, while the total number of equations that we have is n.
Hence p≥n for the system of linear equations above to have a non-zero solution.
Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.
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At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day
Answer:
40% = 0.40
800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
What percent of the model is shaded green?
(answer quick please)
Answer:
30%
Step-by-step explanation:
3 rows out of 10 are shaded green. 3/10 is 30%
Explanation:
Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.
If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%
the two triangles are similar what is the length of the missing side show your work
Answer:
Step-by-step explanation:
6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp 6xp
Answer:
6xp^24
Step-by-step explanation:
Basically, there is 24 6xp's which is 6xp^24.
Hope I explained well enough.
Factorise 12q+30 please help
Answer:
6(2q+5)
Step-by-step explanation:
Factoring 12q+30. First, we'll take out a common factor, in this case 6, leaving us with 6(2q+5).
Psychologists are concerned that ____ personality tests are not easy to interpret and do not always produce consistent results because they are not standardized.
Psychologists have raised concerns about the accuracy and validity of ____ personality tests, as they are not standardized. This means that the same test administered to two different people can yield different results, making it difficult to interpret. Moreover, results may be inconsistent, meaning the same test administered at different times could produce different results. This lack of consistency can lead to inaccurate interpretations and can render the tests less useful. Furthermore, there is a lack of standardization of criteria and methodologies used to evaluate personality tests, which could lead to misinterpretations of results.
In order to address these issues, it is important to use standardized personality tests, which are tested and validated to ensure consistent and accurate results. This will ensure that the tests yield consistent results and can be interpreted accurately.
Additionally, researchers must adhere to established guidelines and criteria to ensure that the results are reliable and valid. This will enable professionals to confidently use the tests and make accurate interpretations of the results.
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