Answer:
Angle 1 = 33°Angle 2 = 90°Angle 3 = 57°Step-by-step explanation:
Hope this will help you lot.
Which statements are correct? Check all the apply.
Variable d is the independent variable.
Variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
Variable d is the dependent.
The number of dollars earned causes a change in the number of hours worked.
Variable h is the dependent variable.
The more hours are worked, the fewer dollars that are earned.
Answer:
Step-by-step explanation:
1) wrong
2) Right
3) Right
4) Right
5) Wrong
6) Wrong
7) Wrong
Water is pumped out of the conical tank with vertex down and radius 8 ft and height 20 ft. If the volume is decreasing at a rate of 4 ft^3sec :
how fast is the depth of the water decreasing when the water is 9 ft deep? (Note: Don't approximate the answer and state its exact value in terms of π.)
It took approximately 151 seconds to decrease 9 ft water in conical tank.
The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h
When the water is 9 ft deep
= (1/3) ×3.14×(8)²×(9)
= 602.88 ft³
We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:
Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec
= 602.88/4
= 150.72 sec
Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.
To learn more about the volume of a cone visit:
https://brainly.com/question/1984638.
#SPJ1
time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
Learn more about Data collection at
https://brainly.com/question/30363831
#SPJ1
Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they
meet in 4 hours, what is the rate of the slower car?
Do not do any rounding.
The rate of the slower car is 77km/hr
What is velocity?Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.
velocity = displacement/time
displacement = velocity × time
represent the faster car by v1 and the slower car by v2
v1 = v2+16
V2 = v1-16
Total displacement = 680km
680 =( v1+V2)t
680 = (v1+V2)4
v1+v2 = 680/4
v2+16+v2 = 170
2v2 = 170-16
2v2 = 154
v2 = 154/2
v2 = 77km/hr
therefore the rate of the slower car is 77km/hr
learn more about velocity from
https://brainly.com/question/80295
#SPJ1
What is the standard deviation of the exponential distribution whose density function is f(x)=10*e^(-10x)?
The standard deviation of the exponential distribution is of 0.1.
-----------------
The exponential probability distribution, with mean and standard deviation m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
-----------------
The distribution is described by:
\(f(x) = 10e^{-10x}\)
Which has \(\mu = 10\)Thus, the mean and standard deviation are given by:
\(m = \frac{1}{\mu} = \frac{1}{10} = 0.1\)
The standard deviation is of 0.1.
A similar problem is given at https://brainly.com/question/17039711
We are required to find the standard deviation of the exponential distribution.
The standard deviation of the exponential distribution whose density function is f(x)=10*e^(-10x) is 0.1.
By convention, exponential probability distributions have density function in the form:
f(X) = f(x)=μ*e^(-μx)............... equation 1.
Where μ = decay parameter.
However, the decay parameter is related to the standard deviation of the distribution by the formular:
μ = 1/m
Where m = Standard deviation of the distribution.
Therefore, by comparison of equation 1 with f(x)=10*e^(-10x).
It is evident that the decay parameter, μ = 10
Therefore, the standard deviation, m = 1/μ = 1/10 = 0.1.
The standard deviation of the exponential distribution whose density function is f(x)=10*e^(-10x) is 0.1
Read more:
https://brainly.com/question/18562832
•Mr. Jones and Mr. Thomas
entered into partnership
I with capital of $12600
and $19200 respectively.
after 3 months they!
were joined by Mr.Forson with a capital of $ 16200.It is agreed that the profit should be shared in proportion to their capitals.During the first 3 month of the year,………..
The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.
ProportionMr Jones capital = $12600Mr Thomas capital =$19200Mr forson capital = $16200Total capital = $12600 + $19200 + $16200
= $48,000
Mr Jones proportion = $12600 / $48,000
= 21/80
Mr Thomas proportion = $19200 / $48,000
= 32/80
Mr forson proportion = $16200 / $48000
= 27/80
Learn more about proportion:
https://brainly.com/question/1781657
#SPJ1
Find the difference of 2/3 and 3/5.
Answer:
1/15
Step-by-step explanation:
2/3*5/5 - 3/5*3/3( we are multiplying and dividing by the same number in order to get the same denominator. as 5/5 = 1 and 3/3= 1)
2/3*5/5 - 3/5*3/3
= 10/15-9/15
= 1/15
PLEASE HELPP ASAPPP pleaseeeee
answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.
Im finding missng angles for a parallel lines worksheet and it gave me the first one but i cant find the rest the first one was 65 degrees
Answer:
...
Step-by-step explanation:
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
draw the dot plot of the distribution of possible data values that has the largest possible standard deviation (there were ten people at the talk, so there should be ten dots on your dot plot)
The dot plot consists of ten dots, each representing the data value of a single person at the talk. The data values are spread out as far as possible, resulting in the largest possible standard deviation.
A dot plot is a graph that is used to represent the distribution of data. It consists of dots, each of which represents a single data value. In this case, the dot plot represents the distribution of possible data values from a talk with ten people. To achieve the largest possible standard deviation, the data points should be spread out as far as possible. Each dot should be placed on the graph in such a way that the difference between any two adjacent data points is maximized. This is done by placing the highest and lowest values at opposite ends of the graph, and then evenly spacing out the remaining data points in between. All of this should result in the largest possible standard deviation of the data set.
Learn more about standard deviation here
https://brainly.com/question/13905583
#SPJ4
On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3. Within which range should approximately 95% of the scores lie?
Approximately 95% of the scores should lie within the range of 79 to 91.
Approximately 95% of the scores on a standardized test with a normal distribution and a mean of 85 and a standard deviation of 3 should lie within 2 standard deviations of the mean.
Since the standard deviation is 3, 2 standard deviations is : 2 × 3 = 6.
Adding 6 to the mean of 85 gives 91, and subtracting 6 from the mean of 85 gives 79.
Therefore, approximately 95% of the scores should lie within the range of 79 to 91.
Learn more about the standard deviation here:
https://brainly.com/question/16555520
#SPJ1
16 40/50 in decimal form
\(\huge\textsf{Hey there!}\)
\(\mathsf{16 \dfrac{40}{50}}\)
\(\mathsf{= \dfrac{16\times50 + 40}{50}}\)
\(\mathsf{= \dfrac{800 + 40}{50}}\)
\(\mathsf{= \dfrac{840}{50}}\)
\(\mathsf{= 840\div50}\)
\(\mathsf{= 16.8}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{16.8}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
How many complex roots does the polynomial equation below have?
X^7-3x^5+4^2-1=0
Answer:
4
Step-by-step explanation: 5 22 8 18 e
Graph the function and look for sign changes in the slope (easiest)
of the 7 roots 3 are real and 4 are complex
or the perferred way is to apply Descartes rule of signs
x^7-3x^5+4x^2-1=0 a typo in your function attached photos shows 4x²
(x^7) - (3x^5) +(4x^2) - (1) sign changes I see 3
then to find a bound on the number of negative roots
(-x^7) - (-3x^5) +(4x^2) - (1) = -x^7 + 3x^5 + 4x^2 - 1 I see 2 sign changes ??
there is at least 1 real root (due the odd highest power)
and either 0, 2, 4 or 6 complex roots
so 5 and 7 are out
still confused I used a polynomials root calculator
it said ther are three real roots (confirmed by the graph of the function)
and four comple roots (which I can't figure out from the graph)
A cylinder has a base diameter of 6 cm and a height of 18 cm. What is its volume in cubic centimeters to the nearest tenths place?
Answer:
108 cm that my answer
sana makatulong
The answer is 508.9 cubed
108cm cubed is wrong
The native range of a species includes all areas in which it lives.
Please select the best answer from the choices provided
T F?
Answer:
false
Step-by-step explanation:
just took the quiz
Answer:
false
Step-by-step explanation:
Tristan asked his coworkers about how much time they spent commuting each morning.
This box-and-whisker plot shows the results.
Find the median.
A 10
B 15
C 20
D 25 (median)
(b)
Part B
Find the interquartile range.
Answer:
Answer:
17.5 and 5
Step-by-step explanation:
If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
Learn more about Division here
https://brainly.com/question/6943084
#SPJ1
The values of x and y are proportional. proportionality (k) and find the missing values. 2. UX x 6 15 9 y 42 200 d. X 14 y 21 6 15 3 7 8 Determine the constant of proportionality
Step-by-step explanation:
To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.
Let's examine the given values:
2. UX: x 6 15 9 y 42 200
To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).
k = y / x
k = 42 / 6
k = 7
So, the constant of proportionality (k) is 7.
Now, let's find the missing values for the second set of values:
d. X: 14 y: 21 6 15 3 7 8
Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.
Missing values for y:
- For x = 21, y = 21 * 7 = 147
- For x = 6, y = 6 * 7 = 42
- For x = 15, y = 15 * 7 = 105
- For x = 3, y = 3 * 7 = 21
- For x = 7, y = 7 * 7 = 49
- For x = 8, y = 8 * 7 = 56
Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.
midpoint between (-5, 4) and (7, -5)
Answer:
(1, -1/2)
Step-by-step explanation:
Find the midpoint by finding the averages of the x coordinates and y coordinates:
(-5 + 7) / 2
2 / 2 = 1 (x coordinate)
(4 - 5) / 2
-1 / 2 = -1/2 (y coordinate)
So, the midpoint is (1, -1/2)
The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 200,000 mosquitoes in the area initially, and predators (e.g. birds, bats) eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any given time.
So far, I have used the equation, P = P0 e^-kt The population of mosquitoes in a certain area inc where P0=200,000 and P(7)=400,000 (I figured time should be measured in days since you are given the number of mosquitoes eaten per day) to solve for k:
400,000 = 200,00 e^-k(7) >> K=-ln(2)/7=-.099
Using that, I figured I should put that into the differential equation (change in population = birthrate - deathrate)
dp/dt = kP - 20,00t ---> dp/dt = -099P - 20,000t
I thought I knew how to solve this and everything, but once I got an answer and plugged in different times, the model says the population decreases, which doesn't seem to make sense. So please check my reasoning up to this point and show the solution so I can check mine.
The equation you used is correct, but the differential equation does not include the growth rate. The growth rate is proportional to the current population, so the differential equation should look like this: dp/dt = kP - 20,000t
dp/dt = kP - 20,000t , Where k is the growth rate. To solve this equation, we can use the separation of variables: dp/P = kdt - 20,000tdt
Integrating both sides, we get:
ln|P| = kt - 20,000t^2/2 + C, Where C is the integration constant. To find C, we can use the initial population of 200,000:
ln|200,000| = -0.099t - 20,000t^2/2 + C
=>C = ln|200,000| + 0.099t + 20,000t^2/2 .Therefore, the population of mosquitoes at any given time t is:
P = 200,000e^(-0.099t - 20,000t^2/2 + ln|200,000| + 0.099t + 20,000t^2/2) = 200,000e^(ln|200,000|) = 200,000
To know more about differential equations refer to the link brainly.com/question/14620493
#SPJ4
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
Find the gradients of lines A and B
The correct answer is (1,1) because both of the lines meet together at these numbers
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
Solve for x:
a
3
b
9
c
1.5
d
13.5
Hi there! :)
\(\large\boxed{\text{ x = 9}}\)
The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
9 is ur answer
Step-by-step explanation:
8x-6=6x+12
8x-6x=12+6
2x=18
x=9
Hope this helps u...
What is the area of a rectangle with a length of 1/3 yards and width of 3/4 yard?
Answer:
1/4 yards squared
Step-by-step explanation:
Area of a rectangle equals length times width.
1/3 x 3/4 = 3/12, or 1/4
Answer:
It would be 1/4 and if not try 3/12
Step-by-step explanation:
I hope this helped
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
for such more question on property
https://brainly.com/question/29667212
#SPJ8
Please help in confused
Answer:
the first answer is correct and brainliest plsss (^_^)
Step-by-step explanation:
Se quiere cubrir una pared con vidrios de forma triangular. La pared mide 36 m de largo y 9V3 m de alto.
Si el lado de cada triángulo debe ser de 6 m, ¿cuántos espejos se necesitarán para cubrir la pared?
Based on the dimensions of the wall and the triangular glass, the number of mirrors needed is 215 mirrors.
What number of mirrors are needed?First find the area of the wall:
= 36 x 93
= 3,348 m²
The area of the triangle, assuming it is an equilateral triangle is:
= (√3/4) x 6²
= 15.59 m²
The number of mirrors needed is:
= 3,348 / 15.59
= 215 mirrors
Find out more on the area of an equilateral triangle at https://brainly.com/question/1099318.
#SPJ1
solve your answer in the simplest form or as a mixed number.
5 7/9 + 4 5/6
Answer:
10 11/18
Step-by-step explanation:
5 42/54 4 45/54
9 87/54
10 33/54
10 11/18
pleas give me a brainliest if this helped
Answer:
The answer is \(10\frac{11}{18}\)
Step-by-step explanation:
Given fractions are:
\(5\frac{7}{9} + 4\frac{5}{6}\)
The given fractions are mixed fractions whose sum has to be found. In order to do this, the mixed fractions are first converted into proper fractions then the LCM is taken to find the sum.
So,
Converting the fractions into proper fractions
\(=\frac{52}{9} + \frac{29}{6}\)
Taking LCM
\(=\frac{104+87}{18}\\=\frac{191}{18}\)
Converting into mixed fraction
\(=10\frac{11}{18}\)
Hence,
The answer is \(10\frac{11}{18}\)