Answers
Answer:
PY = 8
Step-by-step explanation:
Since, a point (here P) lying on the perpendicular bisector of a segment is equidistant from the extreme points (here X and Y) of the segment.
So, PX = PY
But, PX = 8 (given)
Therefore, PY = 8
Related Questions
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
Answers
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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Write an equivalent expression (p-4)(p+3).
Answers
Answer:
p^2 - p - 12
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
\((p - 4)(p + 3) = {p}^{2} + 3p - 4p - 12 \\ = {p}^{2} - p - 12\)
Which calculation and answer show how to convert 3/12 to a decimal
Plz help ASAP
Answers
Answer:
C is the correct answer
Step-by-step explanation:
Follow the steps there and yeah
i will love uu forever if uu answer dis for me
Answers
#15 is 11 and
#16 is adding 3
Answer:
the answer is 2...........jpjpjp ion knowwwwwwwww
Step-by-step explanation:
In 2009, the average compensation for CEOs in the U.S. was approximately $10,800,000, and by 2016, this had risen to about $12,800,000. By comparison, the average compensation for workers was $54,700 in 2009 and $55,800 in 2016. Assume that both values are growing exponentially. Find the growth rate r for both salaries. State your answers as percentages rounded to the nearest tenth of a percent.For CEOs: r= %For workers: r = %
Answers
The exponential growth formula is given by
\(C=a(1+r)^t\)where C is the average compensation, a is the initial amount and t is the time (in years).
For the CEO's case, we have that
\(\begin{gathered} \text{for t=2009, C=10800000} \\ \text{for t=2016, C=12800000} \end{gathered}\)Then, we can find a and r with these values. By substituting the first values, we have
\(10800000=a(1+r)^{2009}\)By substituting the second values, we get
\(128000000=a(1+r)^{2016}\)By isolating a in both case, we have that
\(\begin{gathered} a=\frac{10800000}{(1+r)^{2009}} \\ \text{and} \\ a=\frac{12800000}{(1+r)^{2016}} \end{gathered}\)Then, we can state the following equation:
\(\frac{10800000}{(1+r)^{2009}}=\frac{12800000}{(1+r)^{2016}}\)or equivalently,
\(\begin{gathered} \frac{(1+r)^{2016}}{(1+r)^{2009}}=\frac{128000000}{108000000} \\ \frac{(1+r)^{2016}}{(1+r)^{2009}}=1.185185 \end{gathered}\)By applying natural logarithm in bot sides, we have
\(\begin{gathered} \ln (\frac{(1+r)^{2016}}{(1+r)^{2009}})=\ln 1.185185 \\ \ln (\frac{(1+r)^{2016}}{(1+r)^{2009}})=0.169899 \end{gathered}\)By the properties of logarithms:
\(\ln (\frac{A}{B})=\ln A-\ln B\)we obtain
\(\ln (1+r)^{2016}-\ln (1+r)^{2009}=0.169899\ldots.(a)\)By the property of logaritm:
\(\ln A^x=x\ln A\)The last result is equivalent to
\(\begin{gathered} 2016\ln (1+r)-2009\ln (1+r)=0.169899 \\ which\text{ gives} \\ 7\ln (1+r)=0.169899 \end{gathered}\)then, by moving the number 7 to the right hand side, this yields,
\(\begin{gathered} \ln (1+r)=\frac{0.169899}{7}\ldots(b) \\ \ln (1+r)=0.024271 \end{gathered}\)Now, by applying the exponential function in both sides, we have
\(\begin{gathered} 1+r=e^{0.024271} \\ 1+r=1.024568 \end{gathered}\)then, r is given by
\(\begin{gathered} r=1.024568-1 \\ r=0.0245 \end{gathered}\)Now, by converting this result into percent form. The answer for the CEO's case is
\(r=2.45\text{ \%}\)Now, for the workers case, we can do the same procedure and get an equation similar to equation (a). That is,
\(\begin{gathered} \ln (1+r)^{2016}-\ln (1+r)^{2009}=\ln (\frac{55800}{54700}) \\ \ln (1+r)^{2016}-\ln (1+r)^{2009}=\ln (1.020109) \\ \ln (1+r)^{2016}-\ln (1+r)^{2009}=0.0199 \end{gathered}\)and find somthing similar to equation (b)
\(\begin{gathered} \ln (1+r)=\frac{0.0199}{7}\ldots \\ \ln (1+r)=0.0028 \end{gathered}\)and finally,
\(\begin{gathered} 1+r=e^{0.0028} \\ 1+r=1.0028 \end{gathered}\)then, r will be
\(\begin{gathered} r=1.0028-1 \\ r=0.0028 \\ In\text{ percent form is} \\ r=\text{ 0.28 \%} \end{gathered}\)In summary,by rounding the answers to the nearest tenth percent, the answers are
\(\begin{gathered} \text{For CEO's:} \\ r=2.5\text{ \%} \\ \text{For workers:} \\ r=0.3\text{ \%} \end{gathered}\)Một người gửi tiết kiệm 100 triệu đồng theo kỳ hạn gửi là 1 năm. Sau 5 năm người người đó nhận được số tiền là 153,86 triệu đồng. Hỏi lãi suất người này gửi là bao nhiêu (lãi kép hàng năm):
Answers
Answer:
no
Step-by-step explanation:
Help please wats the correct answer
Answers
Answer: whats the question
Step-by-step explanation:
Answer:
380.13
Step-by-step explanation:
The area of a circle can be found using the formula A= pir^2. If the diameter is 22, then the radius is 11. Plug those numbers in a calculator and you get 380.13
Triangle SAM is congruent to Triangle REN. Find x and y.
Answers
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
The temperature changed from 3 degrees below zero at midnight to 7 degrees below
zero at 2 a.m. How much did the temperature decrease?
Answers
The temperature has decreased by 4 degrees Celsius.
We have a temperature change from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m.
We have to determine how much did the temperature decrease.
' The temperature of an area is x degrees below zero '. What does this statement mean ?A temperature of x degrees below zero means that the temperature of an area is equal to = - x degrees i.e., T = 0 - x = - x.
According to question -
Initial Temperature T(i) = 0 - 3 = - 3 degrees
Final temperature T(f) = 0 - 7 = - 7 degrees
Change in temperature ΔT = T(f) - T(i) = -7 - (-3) = -7 + 3 = - 4
Hence, the temperature has decreased by 4 degrees Celsius.
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this is a camera toy
edge of the cube = 5cm
cylinder diameter = 4cm and
cylinder height = 20cm
1) find the clay required to make this toy
2)find the area to be painted
Answers
The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr2h.
Given here: The dimensions of the edge of the cube as 5cm and the cylinder diameter is 4cm with a height of 20cm
We know the volume of the cube is given by a³ where a is the measure of the length of the cube
Thus a³=5³
=125 cm³
and surface area of the cube is given by 6a²=6×25
=150 cm²
Again the volume of the cylinder and surface area of the given cylinder is as follows:
Volume= 22/7×2²×20
=251.2 cm³
surface area = 2·π·2·10+2·π·22≈150.79645cm²
Thus the clay required to make the toy is=125+251.2
=376.2 cm³
And the area to be painted is given by =150.7+150
=300.7 cm²
Hence, The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²
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venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem
type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6
Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door
Answers
explanation
3.7(x−5.9)=−26.64
help
Answers
Answer: -1.3
Step-by-step explanation:
The temperature today was 82° last year on this day the temperature was 71 what was the change in temperature
Answers
The change in the temperature is 11°.
What is temperature ?Temperature is the physical quantity which describes, how much hot is something? Or we can say it is the quantity which measures the hotness and coldness of something. There are two main quantity values to measure the temperature which are Celsius and Fahrenheit.
Mathematically we can write :
1° Celsius = 32 Fahrenheit
How to find temperature change ?Suppose if we have temperature of two difference time space then we can easily find the difference between the two by simply subtracting them.
For the given question,
last year temperature = 82 degree
temperature today = 71 degree
therefore the change in the temperature in one year is :
82 - 71 = 11 degree.
Thus , the change in temperature is 11 degree.
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According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. how many cruise passengers must there have been in 2017? write your answer in millions and rounded to two decimal places.
Answers
The number of cruise passengers must there have been in 2017 is 26.7 million.
What is percentage?The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.
Now according to the question;
Let x represent the total number for cruise passengers during 2017.
In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.
So, 106.7 % of x = 28.5
\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)
Multiplying both sides by 100;
\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)
Dividing both sides by 106.7;
\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)
x = 26.7
Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.
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Re-write the standard form equations provided in slope-intercept form:
3. 8x + 2y = 12
Answers
A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
Answers
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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The ________ of event a is the event consisting of all simple events in the sample space s that are not in a.
Answers
Answer:
I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years
Step-by-step explanation:
Mike a local auto mechanic charges a certain amount to diagnose and repair car he bases his price on the amount of time that it takes for the car to be repaired what is the rate of change in the graph.
Answers
Answer:
200
Step-by-step explanation:
The time spent repairing the car is five hours while the total cost is about 200 bucks
the cost to rent a moving van is $51 plus an additional $7 per hour. If a moving van is rented for 2 hours, what is the cost?
Answers
We know that
The cost to rent a moving van is $51 plus an additional $7 per hour.Based on the given information, we define the following
\(51+7(2)=51+14=65\)Therefore, the cost is $65.The cost to rent a moving van is $51 plus an additional $7 per hour.
Based on the given information,
What is the slope of this equation:
8x-2y=4
Answers
The slope of the given equation is \(m = 4\).
Hope this helps!
Answer:
Step-by-step explanation: The slope is 2.
The terms coefficients and constants of 5z 6 and y2
Answers
Answer:
???????
Step-by-step explanation:
sorry I don't no
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
Answers
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 DP.
Answers
Answer:
The final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.
Step-by-step explanation:
General Formula
A way to solve this problem is as follows:
The general formula for this is taking into account that:
\( \\ percent\;change = \frac{change}{starting\;point}\)
The starting point is number 784.
The most important key is the solution for this answer is that:
\( \\ change = starting\;point - x\)
Where x is a number that we need to find. Then
\( \\ percent\;change = \frac{starting\;point - x}{starting\;point}\) [1]
Is 784 increased or decreased after all?
We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.
Finding the result
If 784 increases by 3%, we have:
\( \\ 3\% = \frac{784 - x}{784}\)
Which is equal to
\( \\ 0.03 = \frac{784 - x}{784}\)
Solving for x, we first multiply by 784 to both sides of the previous formula:
\( \\ 0.03 * 784 = \frac{784 - x}{784}*784\)
\( \\ 0.03 * 784 = (784 - x)*\frac{784}{784}\)
\( \\ 0.03 * 784 = (784 - x)*1\)
\( \\ 0.03 * 784 = (784 - x)\)
Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.
Subtracting 784 to both sides:
\( \\ (0.03 * 784) - 784 = (784 - 784 - x)\)
\( \\ (0.03 * 784) - 784 = (0 - x)\)
\( \\ (0.03 * 784) - 784 = - x\)
\( \\ 23.52 - 784 = - x\)
\( \\ -760.48 = - x\)
Multiplying by -1 to both sides:
\( \\ -1 * (-760.48) = -1 * (-x)\)
We have to remember that:
\( \\ +*+ = +; - * - = +; - * + = -; + * - = -\)
\( \\ 760.48 = x\)
Then
\( \\ x = 760.48\)
Therefore, using formula [1], an increase of 3% is
\( \\ 3\% = \frac{784 - 760.48}{784}\)
\( \\ change = 784 - 760.48\)
\( \\ change = 23.52\)
Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.
As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.
In a more terse way of solving this problem, we can say that:
Increase of 4% = 784 * 0.04 = 31.36.
Decrease of 1% = 784 * 0.01 = 7.84.
Difference = 31.36 - 7.84 = 23.52.
Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).
.
Which set of angle measures CANNOT be the angle measures of a triangle?
A= 60,60,61
B=1,1,178
C=13.9,16.1,160
D,59,60,61
Answers
Answer:
a
Step-by-step explanation:
it must not be above 180
we are performing a one-sample z-test about proportion. the sample size is 400, the sample proportion 210/400, and the testing proportion is .48. what is the value of the test statistic?
Answers
Therefore , the solution to the given problem of the test statistics comes out to be Z =1.801.
How do test statistics work?A test statistic statistic illustrates how closely the distribution of your data matches the hypothesis of the test statistic you are using. It is possible to figure out the distribution of the data, or how regularly an observation occurs, by looking at the confidence interval and variability around it.
Here,
Given : p' =210/400 = 0.525
p=0.48 , n=400
Test statistics:
=> Z = \(\frac{p'-p}{\sqrt{p(1-p)}/n }\)
=>Z=\(\frac{0.525-0.48}{\sqrt{0.48(1-0.48)}/400 }\)
=> Z = 1.801
Therefore , the test statistics comes out to be Z =1.801.
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What is the range of the points on the graph?
Answers
Answer:16
Step-by-step explanation:
A Japanese student wants to buy clothes from a Canadian store online. If theclothes he wants cost 54 CAD. how much money in JPY is the stedent goingto spend?
Answers
The full meaning of CAD is the Canadian dollar while the full meaning of JPY is Japanese Yen.
The money the student is going to spend in JPY is 4735.75 JPY(Japenese Yen).The conversion rate is given as:
1 CAD = 87.70 JPY
If the student buys clothes that cost 54 CAD, the money in JPY the student is going to spend in calculated as:1 CAD = 87.70 JPY
54 CAD = ?
Cross Multiply
(54 CAD x 87.70 JPY) / 1 CAD
= 4735.75 JPY
Therefore, the money the student is going to spend in JPY is 4735.75 JPY
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On a test called the MMPI-2, a score of 30 on the Anxiety Subscale is considered
very low. Felipe participates in a yoga group at his gym and decides to give this
subscale to 18 people in his yoga group. The mean of their scores is 35.2, with a standard deviation of 10.4. He wants to determine whether their anxiety scores are statistically equal to 30.
What are the groups for this one-sample t-test?
What is the null hypothesis for this one-sample t-test?
What is the value of "?
Should the researcher conduct a one- or two-tailed test?
What is the alternative hypothesis?
What is the value for degrees of freedom?
What is the t-observed value?
What is(are) the t-critical value(s)?
Based on the critical and observed values, should Felipe reject or retain the null
hypothesis? Does this mean that his yoga group has scores that are above 30, below 30, or
statistically equal to 30?
What is the p-value for this example?
What is the Cohen’s d value for this example?
If the " value were dropped to .01, would Felipe reject or retain the null hypothesis?
Calculate a 42% CI around the sample mean.
Calculate a 79% CI around the sample mean.
Calculate a 95% CI around the sample mean.
Answers
The MMPI-2 test is used for the assessment of psychopathology and personality of patients.
It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.
A score of 30 or less is usually considered very low.
The questions are answered by the patient, usually in a clinical or research setting.
A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.
The following are the parameters of the one-sample t-test:Groups:
18 participants
Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30
Type of test: One-tailed test
Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.
Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734
Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5
If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).
For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13
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The four of you split the cost of materials you bought for your lemonade stand if the total cost was 85$ how much did you each pay? (Please I need help)
Answers
if you multiply amp × ohm, the answers will be in units of
Answers
Multiplying ampere (amp) by ohm gives units of volt (V).
Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.
Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.
Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.
Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.
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