Answer:
(2,1)
Step-by-step explanation:
This is the answer by substitution.
change 2x+y=5 to y=5-2x
5x-2(5-2x)=8
x = 2
y=5-2(2)
y = 1
(x,y) = (2,1)
You're welcome!!!
Find the exact sum or difference. 0.78 – 0.52 = A. 0.16 B. 0.26 C. 0.24 D. 0.14
help i’m so confused on what’s the difference in rays and lines
Rays: BD, AC, CA, AB. Lines: AC
How to differentiate between a ray and a line?A line is a straight path of points that has no beginning or end
A ray is a portion of a line which has one endpoint and extends forever in one direction
Let's put the definitions:
Note: the arrow is an indication no endpoint
So we have ray BD (it starts from the dot at B and the arrow shows it extends forever in the direction of D)
We have ray AC (it starts from the dot at A and the arrow shows it extends forever in the direction of C)
We also have ray CA (it starts from the dot at C and the arrow shows it extends forever in the direction of A)
Then ray AB (it starts from the dot at A and the arrow shows it extends forever in the direction of B)
Then line AC (it's bounded by 2 arrows, so it has no endpoint)
Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer
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Find the area of the semicircle.
20 in
Answer:
50ㅠ
Step-by-step explanation:
10 is the radius
area= pi x r^2
ㅠ x10x10/2
100ㅠ /2
50ㅠ
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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I need help with this math
Answer:
500 and 4.3
Step-by-step explanation:
A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.
5000 × 0.1 = 500
4300 × 0.001 = 4.3
Thus, the answers [in order] are 500 and 4.3
Hope this helps and feel free to ask any questions.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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a, b ∈q , then (a+ b)∈ …………… । *
Answer:
this is an equation of closure property of rational numbers under addition
Step-by-step explanation:
this is the meaning of it
for every a and b belongs to q then a+b belongs to q
Who knows this answer
‼️‼️I need help, please show work
Answer:
126.75
Step-by-step explanation:
Multiply 6.5 times 19.5. I'm not sure if I'm right but I hope this helps.
Four people are standing on line. The tall man is between a woman with a red hat and a little boy. The little boy is next to a teenager who is not last. In what order are they standing?
We can use logical reasoning to conclude that the order is "teenager, little boy, tall man, and woman" as per the explanation below, based on the clues.
What is logical reasoning?Logical reasoning is a process of using rational thinking and deduction to arrive at a conclusion based on available information. In the given problem, logical reasoning is used to analyze the provided clues and determine the order of the four people standing in line.
By carefully examining the clues and using a process of elimination, we can deduce the position of each person in the line. We use logical reasoning to eliminate the possibilities that contradict the given information, and to arrive at the correct sequence that fits all of the provided conditions.
First, we know that the tall man is between the woman and the little boy. So, they can appear in either of the following orders:
woman - tall man - little boylittle boy - tall man - womanHowever, we are told that the little boy is next to a teenager who is not last. So:
woman - tall man - little boy - teenager --> Incorrect, because the teenager would be last.teenager - little boy - tall man - woman --> Correct, because the teenager would be in a different position.Thus, we can conclude that we have correctly answered this question.
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Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
ANSWER QUICK WILL MARK BRAINLIEST
PMI (Private Mortgage Insurance) protects the lender in case the borrower cannot make the loan payments. It is often required
when the amount of the loan is close to the value of the home. PMI typically annually costs about 75% of the entire loan. On a
$300,000 loan what would you be paying per month?
(Be sure to use a $ and 2 decimal places)
Answer:
the monthly payment is $18,750
Step-by-step explanation:
The computation of the monthly payment is shown below:
= (Loan amount × given percentage) ÷ number of months in a year
= ($300,000 × 75%) ÷ 12 months
= $18,750
Hence, the monthly payment is $18,750
Help please is for now
Answer:
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier
Step-by-step explanation:
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:
. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the smaller bottle holds.The length of the larger bottle is 10cm.the length of the smaller bottle is 5cm
Answer:
The smaller bottle holds 12.5 ml of perfume.
====================
GivenTwo bottles of similar shape;Larger bottle has volume of 100 ml;The length of larger bottle is 10 cm;The length of smaller bottle is 5 cm.To find The volume of smaller bottle.SolutionFind the scale factor, the ratio of corresponding dimensions:
\(k = 5/10 = 1/2\)We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:
\(V_{small}/V_{large} = k^3\\\)Substitute the known values and find the volume of small bottle:
\(V_{small}/100= (1/2)^3\\\)\(V_{small}/100= 1/8\)\(V_{small}= 1/8*100=12.5\)The smaller bottle holds 12.5 ml of perfume.
The smaller bottle holds 12.5 ml of perfume.
I solved it and came with this result.
While doing an article on the high cost of college education, a reporter took a random sample of the cost of new textbooks for a semester. Her sample consisted of 20 students with a mean of $212.45 and a standard deviation of $38.92. A. Find the 99% confidence interval estimate of the true mean textbook cost for the semester based on her sample. Assume the cost of new textbooks is normally distributed.B. Based on part a, is an average cost of $200 for a semester a likely value for the population mean? Why or why not?
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
\(E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7\)
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
114
4. Line p contains point (6,-5) and is perpendicular to line q. The equation for line gis y = 3x + 5.
Write an equation for line p.
Part I: Find the slope of line q. (1 point)
Part II: Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.) (1 point)
that
Part III: Use the point given for line p and the slope you found in Part II to write an equation for line pin
point-slope form: y - y₁ = m(x-x₁). (1 point)
Line q has slope 3, as you've found.
Any line perpendicular to q will then have slope -1/3, as you've found.
Line p thus has slope -1/3 and we know it passes through (6, -5), so from the point-slope formula we get the equation
\(y - (-5) = -\dfrac13 (x - 6) \implies \boxed{y + 5 = -\dfrac13 (x - 6)}\)
A regression model between sales (Y in $1,000), unit price (X1 in dollars) and television advertisement (X2 in dollars) resulted in the following function: = 7 - 3X1 + 5X2 For this model SSR = 3500, SSE = 1500, and the sample size is 18. test for the significance of the model, the test statistic F is a. 2.33 b. 0.70 c. 17.5 d. 1.75
Answer:
C) 17.5
Step-by-step explanation:
Required:
Test for the significance if the model.
Here, we are to find the F statistics.
Take the formula below:
\(F = \frac{MSR}{MSE} = \frac{\frac{SSR}{k}}{\frac{SSE}{n - k - 1}}\)
Where,
SSR = 3500
SSE = 1500
Sample size, n = 18
k = 2
Substitute figures in the equation:
\(F = \frac{\frac{3500}{2}}{\frac{1500}{18 - 2 - 1}}\)
\( F = \frac{MSR}{MSE} = \frac{1750}{\frac{1500}{15}} \)
\( F = \frac{MSR}{MSE} = \frac{1750}{100} \)
\( F = 17.5 \)
F statistics = 17.5
Option (c) is correct.
I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
(l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?
The distance between the two ship based on the angle of depression is 42 meters.
The distance of each ship can be calculated thus:
TanX = opposite / Adjacent
The first ship:
Tan53 = distance/ 82
distance= 108.82 meters
The second ship:
Tan39 = distance/ 82
distance= 66.40 meters
The Difference between the ships are :
108.82 - 66.40 = 42.42 metersTherefore, the distance between the two ships is 42 meters.
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Which of the following equations has a graph with a y-intercept of -8
graph the line y=1/2x-2
Answer:
Slope: 1/2
y-intercept: (0,−2)
Step-by-step explanation:
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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arrange 12 coins in four rows with four in each row
Answer:
3 coins each row
Step-by-step explanation:
if you put 3 coins in 4 rows it we'll be equivalent to 12
-6 - (-8) x 5 ÷ (-10)
Answer:
- 10
Step-by-step explanation:
-6+8×5÷-10
-6+40÷-10
-6-4
-10
Answer and Step-by-step explanation:
According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),
First we multiply, then divide, then finally add/subtract.
-8 times 5 is -40.
-40 divided by -10 is 4.
-6 - 4 = -10
The answer to the expression is -10.
#teamtrees #PAW (Plant And Water)
What is the probability that either event will occur? 17 A 29 B 14 P(A or B)
The probability that either event A or B will occur is 43/60
Getting probability value :Using the parameters given
n(A) = 29
n(B) = 14
Total number of events = 29+17+14 = 60
The probability of each event :
P(A) = 29/60
P(B) = 14/60
P(A or B ) = P(A) + P(B)
P(A or B ) = 29/60 + 14/60
P(A or B ) = 43/60
Therefore, the probability of A or B is 43/60
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6 out of 11 players played well on the baseball team. What percent is it?.
40.45%
45.45%
51.45%
54.55%
Answer:
Ok, Here is your answer
Step-by-step explanation:
To find the percentage of players who played well on the baseball team, we need to divide the number of players who played well by the total number of players and then multiply by 100.
Number of players who played well = 6
Total number of players = 11
Percentage of players who played well = (6/11) x 100%
= 54.55%
Therefore, the answer is 54.55%. Hence, option D, 54.55%, is the correct answer.
MARK ME AAS BRAINLIESTA 4-card hand is dealt from a standard 52-card deck, and then one of the 4 cards is chosen at random. If only two of the cards in the hand are hearts, what is the probability that the chosen card is a heart?
Explanation:
There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2
In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.
Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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the are of the circle below is 28.26 ft. squared. What is the diameter
Answer: 8.06 Inches
The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.