Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
if the parametric equations for x and y are both non-constant linear functions of t, then must the curve be a line? if so, give an argument why this must be true. if not, explain and give a counter-example.
If the parametric equations for x and y are both non-constant linear functions of t, then curve must be a line.
A curve (sometimes known as a curved line in ancient texts) is a mathematical entity that is similar to a line but does not have to be straight.
A curve may be conceived of intuitively as the trace left by a moving point. "The [curved] line[a] is [...] the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which [...] will leave from its imaginary moving some vestige in length, exempt of any width," Euclid wrote more than 2000 years ago.
Let x = at+b and y = ct+d
Then,
\(\frac{x-b}{a}=\frac{y-d}{c}=t xc-bc=ay-adxc-ay+ad-bc=0\)
Which is linear equation in x and y.
Therefore, curve is always a line.
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Sofia surveyed students at her school
about the language they speak at home.
She got these results. Write decimal
equivalents for the fractions and order
the numbers from greatest to least.
english:1/4
Ukrainian: 1/20
Vietnamese:0.02
French: 1/10
Chinese:0.02
other: 0.06
Answer:
English,French,Vietnamese,Chinese,Ukrainian,other
Step-by-step explanation:
so basically the question is asking for us to convert the fractions into decimals and then, order the them from greatest to least
Q:how do you convert a fraction into a decimal?
A: numerator divided by denominator for example if you had to convert 7/9 into a decimal you would do 7 divided by 9!!!
English:1/4 is equivalent to 0.25
Ukrainian:1/20 is equivalent to 0.05
Vietnamese:0.02 is already in decimal form
French:1/10 is equivalent to 0.1
Chinese:0.02 is already in decimal form
Other:0.06 is already in decimal form
Now we got all the fractions converted into decimals
0.25,0.05,0.02,0.1,0.02,0.06
Now we have to put these number from greatest to least
Q:how do we put it in greatest to least?
A: if there are more zeros in the place value its more likely to be a small number for example 0.06 is smaller than 0.3
0.25 is the greatest
0.1 is the second greatest
0.02 is the third greatest
0.02 is the third greatest
0.05 is the 4th greatest
0.06 is the 5th greatest
Now we got them from greatest to least so we match the decimal numbers to the language
Starting from greatest to least is: English,French,Vietnamese,Chinese,Ukrainian,other
pls mark me brainliest
Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠3 and ∠6
The relationship between the pair of angles is;
(i) ∠2,∠6 - are corresponding angles.
(ii) ∠1,∠6 - none
(iii) ∠3,∠6 - co-interior angles
We are given a figure in which we can see different angles. We have to classify the relationship between the pair of these angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
(i) ∠2,∠6
In the image, we can see that ∠2 and ∠6 occupy the same relative position at each intersection. Therefore, ∠2 and ∠6, are corresponding angles.
(ii) ∠1,∠6
We cannot find any relationship in this pair of angles. They neither occupy the same relative position nor are alternate exterior or interior angles.
(v) ∠3,∠6 - co-interior angles.
These two angles lie between two lines and are also on the same side of a traversal. Therefore, these two angles are co-interior angles.
Therefore, the relationship between the pair of angles are;
(i) ∠2,∠6 - are corresponding angles.
(ii) ∠1,∠6 - none
(iii) ∠3,∠6 - co-interior angles
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The complete question is "Identify each of the given pair of angles as alternate interior angles, co-interior angles, or corresponding angles or non of these in the given figure.
(i) ∠2,∠6
(ii) ∠1,∠6
(iii) ∠3,∠6 "
CAN I PLEASE GET HELP ON THIS??
Answer:
A
Step-by-step explanation:
Answer:
(A). y = \(\frac{1}{2} \) x - 2
Step-by-step explanation:
Math geometry placemats
Let's call the missing side ? as shown in the problem.
Now set up a equation where everything adds up to 28x+11
?+8x+2+8x+2+5x+12=28x+11
?+21x+16=28x+11
?=28x-21x+11-16
?=7x-5
So 7x-5 is the missing side!
Hope it helps :D
Suppose consumption is $10,000 when income is $9,000 and the marginal propensity to save equals 0.2. When income increases to $9,500, consumption will be:
To determine the consumption when income increases from $9,000 to $9,500, we can use the concept of the marginal propensity to consume (MPC).
The MPC represents the proportion of each additional dollar of income that is consumed. The marginal propensity to save (MPS) is the complement of the MPC, representing the proportion of each additional dollar of income that is saved.
Given that the MPC is 1 - MPS and the MPS is 0.2, we can calculate the MPC as follows:
MPC = 1 - MPS
MPC = 1 - 0.2
MPC = 0.8
Now, let's calculate the increase in consumption due to the increase in income:
Increase in income = $9,500 - $9,000 = $500
Increase in consumption = MPC * Increase in income
Increase in consumption = 0.8 * $500
Increase in consumption = $400
Finally, to find the new consumption level when income increases to $9,500, we add the increase in consumption to the initial consumption level:
New consumption = Initial consumption + Increase in consumption
New consumption = $10,000 + $400
New consumption = $10,400
Therefore, when income increases to $9,500, the consumption will be $10,400.
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A researcher reports an independent-measures t statistic with df = 30. If the two samples are the same size (n1 = n2), then how many individuals are in each sample?
a. n = 15
b. n = 16
c. n = 30
d. n = 31
When the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), each sample contains 16 individuals. The correct answer is (b) n = 16.
To determine the number of individuals in each sample when the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), we need to calculate the sample size.
For independent-measures t-tests, the degrees of freedom (df) can be calculated using the formula:
df = n1 + n2 - 2
Given that n1 = n2 (the two samples are the same size), we can rewrite the formula as:
df = 2n - 2
Rearranging the formula to solve for n:
n = (df + 2) / 2
Substituting df = 30 into the formula:
n = (30 + 2) / 2
n = 32 / 2
n = 16
Therefore, when the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), each sample contains 16 individuals.
The correct answer is (b) n = 16.
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I really don’t get these.
An image with the solution of each exercise is explained and described below.
We present the procedure to locate each image by performing a dilation with respect to a point on the plane:
Mark points A and B.Measure the distance between points marked in the previous step.Extend the line segment AB by the same distance from each endpoint.Mark the point C and D on each of the new endpoints.Lastly, we present a sketch of the possible solution in the image attached below.
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Is 7,548,123 rational or irrational
Answer:
irrational number
Step-by-step explanation:
Answer:
I'm pretty sure its rational.
Step-by-step explanation:
Rational, I'm pretty sure is like above negative numbers. Irrational is like negative numbers, and yeah...I could be wrong. But I'm sure its rational.
2/3 x=27
PLEASE HELPPPP ASAPPP
Answer:
81/2 is answer.......2/3× 81/ 2 = 27
Answer:
x=40.5
Step-by-step explanation:
2/3x=27
x3. x3
2x=81
/2 /2
x=40.5
hopes this helps please mark brainliest
if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against
There is only one person in the garden.
How to determine the number of people that remain?The given parameters are
There are 34 people in the yard You kill 30 peopleSo the number as per the riddle is that the yard and the garden are the same
So, it means that you killed 30 people and the other 4 people escaped from the backyard.
So if the other 4 people escaped, the implication is that only the killer is left in the garden
In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person
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What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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use the limit comparison test to determine whether the series converges. k^2 2/k^3-7
The series ∑[(k² + 2)/(k³ - 7)] diverges using the limit comparison test and the series ∑(1/k) is a well-known harmonic series.
To determine the convergence of the series ∑[(k² + 2)/(k³ - 7)], we can use the limit comparison test. Let's compare it with the series ∑(1/k).
First, we need to find the limit of the ratio of the terms of the two series as k approaches infinity:
lim(k→∞) [(k² + 2)/(k³ - 7)] / (1/k)
Simplifying the expression, we get:
lim(k→∞) [(k² + 2)/(k³ - 7)] × (k/1)
Taking the limit as k approaches infinity, we have:
lim(k→∞) [(k² + 2)/(k³ - 7)] × (k/1) = 1
Since the limit is a finite positive value (1), we can conclude that the given series ∑[(k² + 2)/(k³ - 7)] and the series ∑(1/k) have the same convergence behavior.
The series ∑(1/k) is a well-known harmonic series, which diverges. Therefore, by the limit comparison test, the given series ∑[(k² + 2)/(k³ - 7)] also diverges.
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The question is -
Use the limit comparison test to determine whether the series converges. k² + 2/ k³ - 7
Suppose that a particular brand of 5 inch candles has an average life of 27 hours with a standard deviation of six hours. If all possible samples of 4 candles were selected in the average life of the samples was determined, what would the mean of the distribution of the sample means be?
5
3
4
27
The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.
This is because the sample means would be expected to be centered around the population mean.
The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:
standard deviation of sample means = standard deviation of population / square root of sample size
In this case, the standard deviation of sample means would be:
6 / square root of 4 = 3
So the answer is 3.
So, the mean of the distribution of the sample means would be 3. Your answer: 3.
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Use the table to find an quadratic equation of best fit.
Answer:
\(y = 5 {x} + 1\)
when x is 0:
y = 5(0) + 1
y = 1 ( 5th box )
when x is 1:
y = 5(1)+1
y = 6 ( 6th box )
hence true for other values
Answer:
y=0.6x2+5x+1.1
Step-by-step explanation:
gjtgdgjdgdjxjfsbgsyuahjduegd love
Name the property of real numbers illustrated by each equation.
(4/7) . (7/4) = 1
The equation (4/7) * (7/4) = 1 demonstrates the multiplicative identity property, which states that multiplying any real number by 1 results in the original number.
The multiplicative identity property is a fundamental property of multiplication. It states that for any real number a, the product of a and 1 is equal to a. In the given equation, (4/7) * (7/4) = 1, the product of the two fractions simplifies to 1.
To understand why this equation illustrates the multiplicative identity property, we can evaluate it step by step. By multiplying the numerators and denominators, we have (4 * 7) / (7 * 4) = 28 / 28 = 1. We can see that the product of the fractions on the left side equals 1, which aligns with the multiplicative identity property.
This demonstrates that when we multiply (4/7) by (7/4), the result is 1. This illustrates the multiplicative identity property, as the product preserves the value of 1 and showcases how multiplying any real number by 1 does not change its value.
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can someone solve this and show their work? 3x+4-5y+6x
need an answer asap
Allison read 9 books in 3 months. If reads at a constant rate,how many books did she read each month? GIVE YOUR ANSWER AS A WHOLE NUMBER OR A FRACTION IN THE SIMPLEST FORM!
Please help please I’m so bad at math
Answer:
3 books per month
Step-by-step explanation:
If Allison reads 9 books in 3 months and you need to know how many books she reads each month, just divide how many books she has read by how many months it took.
9 books / 3 months = 3 books per month
solve this for me:
(-9) − 15
Answer:
-24
Hope that this helps!
Using the unpaid balance method, find the current month's finance charge on a credit card account having the following transactions. Last month's balance: $475 Last payment: $150 Annual Interest rate: 15% Purchases: $569 Returns: $201The finance charge is $ ___________(Round to the nearest cent.)Note: The unpaid balance method calculates the finance charge on a credit card loan by using the simple interest formula I=Prt.
First, we need to subtract the last payment from the last month's balance.
\(\text{LMP}-LP=475-150=325\)Then, apply the interest:
\(\text{AIR}=325\cdot0.15=48.75\)the greatest common factor of 12x-18
Answer:
6
Step-by-step explanation:
The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.
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A contest offers 20 prizes, with first prize worth $12,000 and each successive prize worth $400 less than the preceding prize.
The 20th prize is $4400.
It is a sequence where the difference between each consecutive terms is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
First prize = $12,000
Successive prize worth $400 less than the preceding prize.
Now,
We can make an arithmetic sequence.
12,000, 11,600, 11,200, ...
So,
a = 12,000
d = -400
The nth term of an arithmetic sequence.
= a + (n - 1)d
So,
The 20th prize.
= 12,000 + (20 -1)400
= 12,000 - 19 x 400
= 12,000 - 7600
= 4400
Thus,
20th prize = $4400
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How do you do multiple long?
Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.
supporting answer:
what is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
body of the answer:
let us understand long multiplication by taking an example
Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.Multiply the top number's one digit by the bottom number's one digit.Put a 0 below the ones digit,Multiply the top number's ones digit by the bottom number's tens digit.Multiply the top number's tens digit by the bottom number's tens digit.6.Add the two partial products
final answer: by following above steps we can perform long multiplication
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Long multiplication is a method of multiplying two difficult-to-multiply numbers.
What is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
Let us understand long multiplication by taking an example
1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.
2. Multiply the top number's one digit by the bottom number's one digit.
3. Put a 0 below the one's digit,
4. Multiply the top number's ones digit by the bottom number's tens digit.
5. Multiply the top number's tens digit by the bottom number's tens digit.
6. Add the two partial products
By following the above steps we can perform long multiplication
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Find the surface area of a square pyramid with side length 3 km and slant height 5
km.
km
3 km
3 km
Answer:
39 sq km
Step-by-step explanation:
SA = area of the base + 1/2(perimeter of the base)(slant height)
= 3² + 1/2(3×4)(5)
= 9 + 6(5)
= 39
we assume that with a linear relationship between two variables, for any fixed value of x, the observed ________ follows a normal distribution.
We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.
This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.
In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.
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A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are: a. mutually exclusive b. inversely related c. directly related d. highly correlated e. None of the above
Variables X and Y are highly correlated when a change in variable X is associated with a similar change in variable Y. The correlation coefficient ranges from -1 to 1, with the closer it is, the stronger the correlation. In both cases, a single variable can't explain a large percentage of the variation in another variable. So, option d is correct
A correlation is a statistical measure that describes the relationship between two variables. A correlation coefficient is a numerical measure that indicates the strength and direction of the correlation between two variables. When variables are highly correlated, a single variable can explain a large percentage of the variation in another variable. The correlation coefficient ranges from -1 to 1, and the closer it is to -1 or 1, the stronger the correlation.
When the correlation coefficient is negative, the variables are inversely related, and when the correlation coefficient is positive, the variables are directly related. In both cases, a single variable can't explain a large percentage of the variation in another variable.
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what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon
Answer: nonagon
Step-by-step explanation: quadrilaterals: a shape that has four sides
hexagon: a shape with 6 sides
pentagon: a shape with 5 sides
nonagon: a shape with 9 sides
So the answer is D
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.
Answer:
30000 simple interest ,50000 total repayment.
Step-by-step explanation:
sorry iam terrible at explaining,
Why is 9.6 a rational number
Answer: see explanation below
Step-by-step explanation:
A rational number terminates.
9.6 terminates at six-tenths.