Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer:
18.01
Step-by-step explanation:
c^2=a^2+b^2-2abcos 30=
= 16^2+30^2-2(16)(30)(cos30) cos30=0.866
= 1156-480√3 = 324.6156
c=√324.6156=18.01
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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20 points to answer and extra if it’s right!
Answer:
C
Step-by-step explanation:
Money lost. Keyword "lost". Ages, people, and height can't be negative. ( I guess people can be negative mentally but not physically)
fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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A coat is on sale, and the original price of the coat is $82. The sale price is $74.50. What is the discount expressed as a percentage change?
A jacket with an original cost of $82 is on sale. The cost of the deal is $74.50. The percentage change does the discount represent is 9%.
Percentage change = (amount of increase or decrease) / original amount
= original amount-new amount/ original amount
= (82.74.50)/82
=7.5/82
≈0.09
=9%
What is percentage change?
A quantity's percentage change is equal to the ratio of the difference between the quantity's current value and its starting value multiplied by 100. When a quantity's ultimate value is determined by increasing or decreasing a percentage of its original value, there is always a change in the quantity's percentage change (or percent change).
The difference that results from subtracting the old value from the new value, dividing by the old value, and multiplying the result by the old value is the percentage change. Typically, we multiply a fraction by 100 to create a percent.
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Who proposed the atomic theory
Answer:
John Dalton
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest ;)
find a ratio equivalent to the ratio 9/21
Answer:
18/42 or
36/84
Step-by-step explanation:
Answer: 3 to 7
Step-by-step explanation: Trust me i got 100.
Kayla is working on a new snowboard trick. Her best trick used to be a 360, degrees full-circle turn, but now she can turn further by an additional 1 180, degrees half-circle. What is the angle measure of her total turn now?
If Kayla can turn additional 180° on a new snow board trick , then the angle measure of her total turn now is 540° .
Kayla is working on a snow board trick ,
The angle by which Kayla turns in the best trick = 360° ,
the additional angle turn by Kayla = 180° ,
the angle measure total turn of Kayla can be calculated by using the formula ;
Total turn of angle measure = angle turned in best trick + additional angle turned ,
So , angle measure of Total turn is = 360° + 180°
On adding both the angle measures ,
we get ,
= 540° .
Therefore , The angle measure of total turn by Kayla on snowboard is 540° .
The given question is incomplete , the complete question is
Kayla is working on a new snowboard trick. her best trick used to be a 360° full-circle turn, but now she can turn further by an additional 180° half-circle. what is the angle measure of her total turn now ?
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Can someone answer my question please
Answer:
do you know how to calculate c
Step-by-step explanation:
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.
Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33
She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:
y = 4.26x + 10.908.
Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft
How to interpret a Line of best fit?The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.
Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.
However, when the geologist found the graph, she arrived at an equation of best fit as;
y = 4.26x + 10.908.
Thus, for 31 miles of shoreline, the approximate maximum depth is;
Approximate maximum depth = 4.26(31) + 10.908.
Approximate maximum depth = 142.968 ft
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Answer:
143 feet
Step-by-step explanation:
its technically 142 and change but edmentum rounds up
Let U=f(P,V,T) be the internal energy of a gas that obeys the ideal gas law PV=nRT (n and r constant). Finda.dUdPv andb.dUdTv.
The dU/dT at constant P and V is simply nR/P.
According to the ideal gas law, PV = nRT, so we can write P = nRT/V. Using this relationship, we can express the internal energy U as a function of P, V, and T:
U = f(P,V,T) = f(nRT/V, V, T)
To find dU/dP at constant V and T, we can use the chain rule:
dU/dP = (∂U/∂P)V,T + (∂U/∂V)P,T(dP/dP)V,T + (∂U/∂T)P,V(dT/dP)V,T
Since V and T are being held constant, we can simplify the second and third terms to just 0:
dU/dP = (∂U/∂P)V,T
To find (∂U/∂P)V,T, we can differentiate f(nRT/V, V, T) with respect to P, keeping V and T constant:
(∂U/∂P)V,T = (∂f/∂P)nRT/V(-nRT/V²) = -nRT/V²
So, dU/dP at constant V and T is simply -nRT/V².
To find dU/dT at constant P and V, we can again use the chain rule:
dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V + (∂U/∂P)V,T(dP/dT)P,V
Since P and V are being held constant, we can simplify the third term to just 0:
dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V
To find (∂U/∂T)P,V, we can differentiate f(nRT/V, V, T) with respect to T, keeping P and V constant:
(∂U/∂T)P,V = (∂f/∂T)nRT/V(1) = nR/V
To find (∂U/∂V)P,T, we can differentiate f(nRT/V, V, T) with respect to V, keeping P and T constant:
(∂U/∂V)P,T = (∂f/∂V)nRT/V(-nRT/V²) + (∂f/∂V)V,T = nRT/V² - nRT/V² = 0
Since the ideal gas law shows that PV = nRT, we can write V = nRT/P. Using this relationship, we can simplify the second term of dU/dT to just:
dU/dT = (∂U/∂T)P,V = nR/P
So, dU/dT at constant P and V is simply nR/P.
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a. To find dU/dPv, we need to differentiate U with respect to both P and V while treating T as a constant. Using the chain rule, we have:
dU/dPv = (∂U/∂P)v + (∂U/∂V)p * (dV/dP)v
Since U is a function of P, V, and T, we can express it as U(P,V,T). Using the ideal gas law, we substitute P = nRT/V into U:
U = f(P,V,T) = f(nRT/V, V, T)
Differentiating U with respect to P while treating V and T as constants, we get (∂U/∂P)v = -nRT/V².
Similarly, differentiating U with respect to V while treating P and T as constants, we get (∂U/∂V)p = nRT/V.
Hence, dU/dPv = -nRT/V² + nRT/V * (dV/dP)v.
b. To find dU/dTv, we differentiate U with respect to both T and V while treating P as a constant. Using the chain rule:
dU/dTv = (∂U/∂T)v + (∂U/∂V)t * (dV/dT)v
Differentiating U with respect to T while treating V and P as constants, we get (∂U/∂T)v = (∂f/∂T)v.
Similarly, differentiating U with respect to V while treating T and P as constants, we get (∂U/∂V)t = (∂f/∂V)t.
Hence, dU/dTv = (∂f/∂T)v + (∂f/∂V)t * (dV/dT)v.
Note: The specific form of the function f(P,V,T) is not provided, so we cannot determine the exact values of (∂f/∂T)v, (∂f/∂V)t, and (dV/dT)v without additional information.
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Answer with at least 3-4 sentences. No fake answers lots of points
The discriminant is a way to determine the number of solutions a quadratic would have WITHOUT solving it. What is the discriminant of the below quadratic and what does that mean?
x2−4x+5=0
Answer:
4
Step-by-step explanation:
Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5
1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5
2. Δ=(−2)2−4⋅(0)⋅(5)=4=4
3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4
Solve the polynomial: 2x³-11x²+18x-8=0
Answer:
2/0.74
Step-by-step explanation:
To solve the polynomial, factorize it.
2x³-11x²+18x-8=0
After factorizing:
(x-2)(2x^2 - 7x +4) = 0
now, solve each bracket one by one:
x-2 = 0
x = 2
Then
2x^2 - 7x + 4 = 0
use quadratic formula t get 0.74
a wall in marcus's bedroom is 8 2/25 feet high and 16 2/3 long. If he paints 1/2 the wall blue how many square feet will be blue
Answer: 66.70
Step-by-step explanation:
8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue
The question I have is y=3bx-7x. It says to solve the literal equation for x.
Answer:
y/( 3b-7)=x
Step-by-step explanation:
y=3bx-7x
Factor out x
y=(3b-7)x
Divide each side by (3b-7)
y/( 3b-7)=(3b-7)x/ ( 3b-7)
y/( 3b-7)=x
Answer:
\(\huge \boxed{x= \frac{y}{3b-7} }\)
Step-by-step explanation:
\(\sf y=3bx-7x\)
Factor out x from the expression.
\(\sf y=x(3b-7)\)
Divide both sides by (3b - 7).
\(\sf \displaystyle \frac{y}{3b-7} =x\)
What is the smallest 3-digit number of the form aaa such that it is divisible by 9? (Here, a represents a digit.)
Answer:
If all three digits need to be the same (I assume that's what aaa means) it's 333
Step-by-step explanation:
For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:
X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)
So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.
in problems 9 and 10, find the power series expansion σ[infinity] n = 0 an xn for f1x2 g1x2, given the expansions for f1x2 and g1x2. 9. f1x2 = a [infinity] n = 0 1 n 1 xn , g1x2 = a [infinity] n = 1 2-n xn-1
Sam paid $55 for an hour of tutoring on Mondays and $95 for two hours on Tuesday. The hourly rate is $ per hour.The initial fee is $ .
To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:
\(m=95-55=40\)So the hourly rate is $40.
Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:
\(b=55-40=15\)So the initial fee is $15.
Gorilla
Sophia
George
Nancy
Hank
Paula
Gavin
Weight
(pounds)
318
417
310
136
62
24
Plugged
into
3c+9=417
True or
False?
Marcus performed an experiment by spinning a spinner a set number of times and noting the color on which the spinner landed. The table below shows the results.
Result
Frequency
Blue
4
Red
3
Green
5
Yellow
6
What is the experimental probability for the lowest frequency?
StartFraction 3 over 18 EndFraction
StartFraction 4 over 18 EndFraction
StartFraction 18 over 4 EndFraction
StartFraction 18 over 3 EndFraction
Answer:
3/18
Step-by-step explanation:
Answer:
Hope this helps! :)
Step-by-step explanation:
pls help will mark brainlist
\(3 {}^{x + 4} = 81\)
Answer:
x = 0
Step-by-step explanation:
note that 81 = \(3^{4}\) , then
\(3^{x+4}\) = \(3^{4}\)
since the bases on both sides are equal, both 3 the equate the exponents
x + 4 = 4 ( subtract 4 from both sides )
x = 0
The answer to this equation is 0
Resolution:First step: we will transform the term after the equality into a power:\( \\ 3 {}^{x + 4} = 81\)
\(3 {}^{x + 4} = 3^{4}\)
Equal bases, let's equate the exponents:\( \\ 3 {}^{x + 4} = 3^{4}\)
\( x + 4 = 4\)
Finally, let's cancel the equal terms, thus having:\( \\ x + 4 = 4\)
\( x = 4 - 4\)
\( \orange{\boxed{x = 0}}\)
Therefore, the value of this equation will be 0
Some people are seated in a bus. The number of
rows in the bus is equal to five times the seats in one
row. If the total number of seats in the bus is 180,
find the number of seats in one row.
Answer:
6
Step-by-step explanation:
Let the number of seats in one row be \(x\), then the number of rows will be \(5x\).
So the total number of seats will be \(x*5x=5x^2\), and that's equal to 180.
We have
\(5x^2=180\\x^2=36\)
And since \(x\) has to be a positive number because it represents the number of seats, we know that \(x=6\).
So the number of seats in one row is 6.
pls help there’s like 28 task cards that were due last week
Answer:
yes it can, rise is 85, run is 51 (both divisible by 17) so simplified to 5/3.
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
3,500x(1+.0125/2)^(2x2)=
3588.3 thats the answer
37-40 Each series satisfies the hypotheses of the alternat- ing series test. Find a value of n for which the nth partial sum is ensured to approximate the sum of the series to the stated accuracy. 38. error < 0.00001
The series satisfies the hypotheses of the alternating series test. By using the alternating series test, we can find the value of n for which the nth partial sum of the given series approximates the sum of the series to the desired accuracy. This approach is useful when we need to estimate the sum of a series but cannot evaluate it directly.
To find the value of n for which the nth partial sum of the given series approximates the sum of the series with an error less than 0.00001, we can use the alternating series test.
This test states that if a series satisfies the hypotheses of the alternating series test, then the error between the nth partial sum and the actual sum of the series is less than or equal to the absolute value of the (n+1)th term in the series.
For the given series, the nth term is\([(-1)^{n+1}]/n!,\) which is decreasing and approaching zero as n increases.
Therefore, the series satisfies the hypotheses of the alternating series test. Now, to find the value of n for which the error is less than 0.00001, we need to find the smallest value of n such that the absolute value of the (n+1)th term is less than 0.00001.
We can use a calculator or a computer program to find that value, which is n = 11. This means that the 11th partial sum of the series approximates the sum of the series with an error of less than 0.00001.
In summary, by using the alternating series test, we can find the value of n for which the nth partial sum of the given series approximates the sum of the series to the desired accuracy. This approach is useful when we need to estimate the sum of a series but cannot evaluate it directly.
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Complete Question:
Each series satisfies the hypotheses of the alternating series test. Find a value of n for which the nth partial sum is ensured to approximate the sum of the series to the stated accuracy.
\(\sum_{k=1}^\infty \frac{(-1)^{k+1}}{k!} \: : |error| < 0.00001\)
A store is selling blank CD’s in a package of 5 for $20.What is the cost of one blank CD?
Answer:
4
Step-by-step explanation:
please need help! it’s discrete math!!
Answer:
B
Step-by-step explanation:
It's easy.
Answer:
Free
is all I see
Step-by-step explanation:
Pls help I need to pass
Answer:
Make a graph similar to this picture:
Answer:
make a graph one side being for the -3,-2,-1 and the other for the -2<x<-1?
Step-by-step explanation:
Richard is able to read 40 pages in 100 minutes the reading speed of James is ____ pages per minute
Answer:
0.4 pages per minute
Step-by-step explanation:
40/100 = .4
Please help me to solve 8 and 9 questions. Thank you
Answer:
8 I think so 60 and ..
9. I think 5