Answer:
To convert any value in meters to centimeters, just multiply the value in meters by the conversion factor 100. So, 4.5 meters times 100 is equal to 450 centimeters.
Which word is used to classify the expression 3d - 4?
The given expression 3d - 4 is a linear expression.
Given that,
To classify the expression 3d - 4.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the linear function, cubic function, etc. ax+b is a polynomial.
Here,
Given expression 3d - 4, which only contains one variable d and one constant 4, or exponent to the variable is also 1 implies the expression is linear expression.
Thus, the given expression 3d - 4 is a linear expression.
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60° 600 16 inches An equilateral triangle is folded in half. What is x, the height of the equilateral triangle? 8V3 in 16 in 16V3 in 8 in
Given the right angles triangle derived from dividing a trainmgle into half, the base value will be;
b = 16/2 = 8 inches
Height = x
the right base an =
find the slope of the line that passes through these points (2,5) (4,1)
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 1)
m = \(\frac{1-5}{4-2}\) = \(\frac{-4}{2}\) = - 2
Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
Answer:
9 weeksStep-by-step explanation:
Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
(100 - 37) : 7 =
63 : 7 = 9
check
37 + 9 * 7 = 100
the answer is good
What is the image of (−3,9) after a reflection over the line y = x?
Answer:(9,-3)
Step-by-step explanation:
You just have to flip the numbers
what ordered pair is a solution for the equation y= 4.5x?
Answer:
C. (2,9)
Step-by-step explanation:
9=4.5(2)
The ordered pair is a solution for the equation y= 4.5x is 2, 9.
Given that,
The equation is y = 4.5x.Based on the above information, the calculation is as follows:
y = 4.5x
Here we put the 2 in place of x
So,
= 4.5 (2)
= 9
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You make one charge to a new credit card, but then charge nothing else and make the minimum payment each month. You can't find all of your statements, but the accompanying table shows, for those you do have, your balance B, in dollars, after you make npayments.
Payment n 2 4 7 11
Balance B 495.49 454.65 399.61 336.45
(a) Use regression to find an exponential model for the data in the table. (Round the decay factor to four decimal places.)
B = 600 ✕ 0.8032n
B = 336.45 ✕ 1.0562n
B = 495.49 ✕ 0.7821n
B = 540 ✕ 0.9579n
B = 421.55 ✕ 1.2143n
(b) What was your initial charge? (Use the model found in part (a). Round your answer to the nearest cent.)
$
(c) For such a payment scheme, the decay factor equals (1 + r)(1 − m).
Here r is the monthly finance charge as a decimal, and m is the minimum payment as a percentage of the new balance when expressed as a decimal. Assume that your minimum payment is 7%, so m = 0.07.
Use the decay factor in the model found in part (a) to determine your monthly finance charge. (Round your answer to the nearest percent.)
r = %
(a) Use regression to find an exponential model for the data in the table.
(Round the decay factor to four decimal places.)
To find the exponential model for the data in the table, we need to first find the decay factor, k. Using the formula \(B = B₀e^(kt)\), we get the following table:
n 2 4 7 11
B 495.49 454.65 399.61 336.45
Divide subsequent B values by the preceding one, to get the quotients:\(454.65/495.49 = 0.9175...399.\\61/454.65 = 0.8784...336.45/399.61 \\= 0.8429...\)
The quotients are approximately equal, so we can take the average to obtain the decay factor:
\(k = (ln 0.9175 + ln 0.8784 + ln 0.8429)/3 \\≈ -0.2204\)
Thus the exponential model for the data in the table is:
\(B ≈ B₀e^(-0.2204n)\)
Multiplying by a constant shift this model vertically.
To determine the constant, we use the fact that B = 540 when n = 0, so\(540 = B₀e^(0)B₀ \\= 540\)
Thus the final exponential model is:
B = 540e^(-0.2204n)Let's now round the decay factor to four decimal places: \(B ≈ 540e^(-0.2204n).\)
(b) What was your initial charge? (Use the model found in part (a). Round your answer to the nearest cent.)
The initial charge is the balance after the first payment.
Plugging in n = 1, we get: \(B = 540e^(-0.2204(1)) ≈ 473.28\)
The initial charge was $473.28.
(c) For such a payment scheme, the decay factor equals (1 + r)(1 − m).
Here r is the monthly finance charge as a decimal, and m is the minimum payment as a percentage of the new balance when expressed as a decimal.
Assume that your minimum payment is 7%, so m = 0.07.
Use the decay factor in the model found in part
(a) to determine your monthly finance charge.
(Round your answer to the nearest percent.)
Let's solve the equation
\((1 + r)(1 - m) = e^(-0.2204), \\w\\here m = 0.07:1 + r = e^(-0.2204)/(1 - m) \\= e^(-0.2204)/(0.93)r \\= e^(-0.2204)/(0.93) - 1 \\≈ -0.1283\)
The monthly finance charge is about -12.83% (since r is negative, this means that the cardholder gets a rebate on interest).
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At the local grocery store a 16-ounce bottle of apple juice costs $3.20. What is the cost of apple juice per ounce?
Answer: $0.50
Step-by-step explanation:
16 divided by $3.20 is equal to $0.50. Hope this helps :)
please help! and explain and show work of how you got the answer. I will mark you brainliest.
Answer: i dont know if this is right but i put a^4+b^4=c^4
Step-by-step explanation:
I have no idea tho
2a-6=2(a-3) is their a solution
Simply 3x +9y + 2x
Please help me
Answer:
5x+9y
Step-by-step explanation:
Step-by-step explanation: Notice that 3x and 2x are like terms.
So we can combine them to get 5x.
Since 9y is the only y term, we leave it separate.
So our answer is 5x + 9y.
What is the value of root 16?
Answer:
4
Step-by-step explanation:
In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. The square root of 9 is 3, because 3 x 3 = 9.
The square root of 16 is 4, because 4 x 4 = 16. Therefore, the value of the square root of 16 is 4.
PLEASE HELP WITH NUMBER FIVE
5. If W(-10, 4), X(-3,-1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your
answer.
WX =
XY =
WY =
Classify:
Answer:
The triangle WXY is an isoscels triangle with the base XY.
Step-by-step explanation:
Sue and Gwen each have large collections of CDs. Sue has twice as many CDs as Gwen. Together the girls have 96 CDs. Which equation could be used to find the number of CDs, x, that Gwen has?
Answer:
3x=96
Step-by-step explanation:
From the information given, you can write the following:
a+x=96 (1)
a=2x (2)
where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.
You can replace 2 in 1 and you would have the following:
2x+x=96
3x=96
From this, you can isolate x to find its value:
x=96/3
x=32
According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.
is it right the answer?
Answer:
Eh what answer? I dun see anything :0 - Lily ^_^
A rectangular square prism cage with a side that measures 10 inches will hold 5 basketballs. The height of the basketballs, when stacked on top of each other, measures 48 3/4 inches. (a) What is the volume of the cage?
The volume of the rectangular square prism cage is 12,000 cubic inches.
Let the dimensions of the rectangular square prism cage be l x w x h, where l = w = 10 inches (since it's a square prism), and h is the height of the basketballs when stacked on top of each other. We can find the value of h using the given information as follows:
h = 5 basketballs x 48 3/4 inches/basketball = 243 3/4 inches
Therefore, the volume of the cage can be calculated as:
Volume = l x w x h = 10 in x 10 in x 243 3/4 in = 12,000 cubic inches.
Hence, the volume of the cage is 12,000 cubic inches.
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how do I write a function for area A (s)there are 36 tiles with lengths from 2-6 inches
how many years would it take an amount of money to double if it is invested at 10 % compounded continuously?
It will take 7 years to double the invested amount if the invested amount is compounded at 10% continuously.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if we have $100 and it generates 5% interest annually, we will have $105 at the end of the first year. We will wind up with $110.25 at the conclusion of the second year.Our investment will double at a 10% interest rate in roughly 7 years (72 x 10% = 7.2); at a 12% interest rate, it will double in roughly 6 years (72 x 12%).Therefore, it will take 7 years to double the invested amount if the invested amount is compounded at 10% continuously.
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Two lines that form a right angle at their point of intersection.A. PointB. Perpendicular Lines.C. Line.D. Collinear points.
Option B "Perpendicular Lines" is correct.
"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.
Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.
Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.
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Consider a population of birds where three types exist. Red birds leave 10 offspring in the next generation, orange birds leave 8 offspring, and yellow birds leave 2 offspring. Based on this information, indicate whether the following statements are true or false.
The relative fitness of red birds is 0.5.
The relative fitness of red birds is 1, not 0.5.
To determine the relative fitness of each bird type, we need to compare the average number of offspring each type produces in the next generation.
For red birds, the average number of offspring is 10.
For orange birds, the average number of offspring is 8.
For yellow birds, the average number of offspring is 2.
To calculate the relative fitness of each bird type, we divide each average number of offspring by the highest average number of offspring (which is 10):
- Redbirds: 10/10 = 1
- Orange birds: 8/10 = 0.8
- Yellow birds: 2/10 = 0.2
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if an object is bought for rupees 90 and then sold for a loss of 15% how much was it sold for
Answer:
76.50
Step-by-step explanation:
We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.
To find the answer, we need to subtract the original amount by the percent loss, so :
90 - 15%
15% of 90 is 13.5, therefore :
90 - 13.5
76.5
Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
what is the square root of pie?
Answer:
1.77
Step-by-step explanation:
The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.
Answer:
the square root of pie is 1.77245385091
or just 1.77
I already worked on most of my question, although, I am just curious about how you would go about finding the fourth power of the square root of 50. Can someone please explain this in detail?
Answer:
(50^1/2)^4
Step-by-step explanation:
basically if I am comprehending your question correctly, the square root of 50 can also be written as 50^1/2
If you put 50^1/2 to the 4th power, it basically becomes (50^1/2)^4
Let r = -2
4r +2+ r
i will give u brainliest
Answer:
1 & 2 = Right Triangles
3 & 4 = Not Right Triangles
Step-by-step explanation:
Solved Using Pythagorean Theorem:
1) \(9^{2} + 12^{2}\) = 225
\(15^{2}\) = 225
2) \(15^{2} + 36^{2}\) = 1521
\(39^{2}\) = 1521
3) \(10^{2} + 26^{2}\) = 776
\(28^{2}\) = 784
4) \(10^{2} + 12^{2}\) = 244
\(16^{2}\) = 256
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? –4 –2 2 4
Answer:
-2
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x +6x +4 = x^2 + 4x + 4
(f+g)(x)=0
x^2 + 4x + 4 = 0
x= -2
Sample size in factor analysis/ PCA
Factor analysis and Principal Component Analysis (PCA) are statistical techniques used to reduce the dimensionality of data sets, identify underlying patterns, and simplify data interpretation. In both methods, sample size plays a critical role in determining the accuracy and reliability of the results.
An appropriate sample size is essential for several reasons:
1. Adequate Representation: A larger sample size helps ensure that the data is representative of the population, capturing a wide range of variability and improving the generalizability of the results.
2. Statistical Power: Larger sample sizes increase the statistical power of the analysis, enabling the detection of smaller effects and providing more reliable estimates of the underlying factors or components.
3. Stability: In factor analysis and PCA, larger sample sizes lead to more stable factor structures or component loadings, increasing the likelihood that the results are replicable in different samples or across time.
4. Error Minimization: A sufficient sample size helps minimize errors and distortions in the analysis, reducing the chance of overfitting the data or extracting spurious factors or components.
While there is no one-size-fits-all rule for determining an optimal sample size, some guidelines can help. A widely cited rule of thumb is a minimum of 10 to 20 observations per variable, with more complex models or data structures requiring larger sample sizes. Another approach is to perform a power analysis or Monte Carlo simulation, considering the desired level of statistical power, effect size, and specific model parameters.
In summary, selecting an appropriate sample size for factor analysis or PCA is crucial to ensure accurate, reliable, and generalizable results. Following guidelines and considering the context of the data and research question can help make informed decisions about sample size.
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If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed between 9 and 7
i.e
269.70
Step-by-step explanation:
In Long division method, the formula is given as:
Dividend ÷ Divisor = Quotient
We were given
26.97 ÷ 6.3
26.97 = Dividend
6.3 = Divisor
We are told in the question that:
as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,
This means, since the Divisor 6.3 is made into an whole number = 63
It means 6.3 was multiplied by 10
6.3 × 10 = 63
In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.
Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10
Dividend = 26.97 × 10 = 269.7
Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7
= 269.70
Answer: Between the 9 and the 7
find hcf and lcm of algebraic terms 3pqr, 24pr², 30pq²r²
ok fine I have sent this question to algebra calculator site they will send u notif on ur phoen with answer
Step-by-step explanation:
hcm is the highest common factor, also know as the gates common divisor.
in other words, what is the biggest expression that divides all given terms without remainder ?
3 divides 24 and 30. that is fine.
every term has one p and at least one r. only 2 out of the 3 terms have a q (so that is not part of it).
therefore, the hcm or gcd is 3pr
lcm is the lowest common multiple.
that means, what is the smallest expression that can be divided by all 3 terms without remainder ?
let's start with the numbers and use the prime factor approach :
3 = 3
24 = 2×2×2×3
30 = 2×3×5
lcm of these 3 numbers is then the combination of the longest streaks of the various prime factors :
2×2×2×3×5 = 120
about the variables
pq²r² can be divided by pqr and also by pr². and, of course, by pq²r² itself too.
so, we don't need to "add" anything.
so, the lcm is 120pq²r²