The required equation of the line is given as y =3x - 3.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
As given in the question that, the line is passing through the point (2,3), and the slope line is 3, the equation of the line is to be determined.
The standard equation of the line is given as
y=Mx + b
Substitute values of point and slope in the above equation,
3 = 2×3 + b
b = -3
Put this b and M in the standard given equation,
y= 3x - 3
Thus, the required equation of the line is given as y =3x - 3.
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Jaya is going to invest $8,000 and leave it in an account for 6 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Jaya to end up with $10,900?
The interest rate, to the nearest tenth of a percent, would be required in order for Jaya to end up with $10,900 is 3 %.
What is Compound interest rate?To calculate the future value, we need to use the following formula on each investment:
FV = PV e^(it),
where FV =Future value, PV=Present Value, e =Euler’s number, i =nominal rate per year, t =Number of years.
Given that Jaya is going to invest $8,000 and leave it in an account for 6 years.
FV =PV * e^(i*t),
P = $8,000
t= 6 years
FV = 10,900
10,900 =8,000 e^(i*6)
i = 3%,
Thus, the interest rate, would be required for Jaya to end up with $10,900 is 3 %.
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Find the missing side of the triangle.
X
8.3 m
5.9 m
The missing side of the triangle is approximately 10.2 m. This solution assumes that the given sides form a right triangle.
How to find side of triangle ?To find the missing side of a triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The formula for the Pythagorean theorem is:
a^2 + b^2 = c^2
where a and b are the lengths of the two sides of the triangle and c is the length of the hypotenuse.
The lengths of two sides of the triangle, 8.3 m and 5.9 m, and you need to find the length of the third side (the hypotenuse).
You can use the Pythagorean theorem to solve for the missing side as follows:
c^2 = a^2 + b^2
c^2 = 8.3^2 + 5.9^2
c = sqrt(8.3^2 + 5.9^2)
c = sqrt(69.29 + 34.81)
c = sqrt(104.1)
c = 10.2 m
Therefore, the missing side of the triangle is approximately 10.2 m.
This solution assumes that the given sides form a right triangle. If the triangle is not a right triangle, the Pythagorean theorem may not be applicable and a different method may be needed to find the missing side.
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a family of four went out to dinner. the cost of their meal was $75.99. Tax on the meal is 6.75% and they left a 19% tip on the cost of the meal. what is the total amount they will pay
The total amount they will pay = $95.557
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
Cost of meal = $75.99
tax amount = 6.75% of 75.99
= ( 6.75/100 ) * 75.99
= $5.129
Tip amount = 19% of 75.99
= (19/100)*75.99
= $14.438
Total amount they will pay = $75.99 + $5.129 + $14.438 = $95.557
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There are 4,500 cities on planet Purple. The planetary government takes a random sample of 350 cities and finds that the average number of complaints about feral cats from the sample was 3.4 ± 0.49. Which of the following is an estimate of the total number of feral cat complaints for planet Purple?
A) Between 1018.5 and 1361.5 complaints B) Between 171.5 and 1190 complaints C)Between 13,095 and 17,505 complaints D) Between 2,205 and 15,300 complaints
Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.
What is the error margin?The statistical difference between the predicted or estimated results and the actual results is displayed by the margin of error.The difference between the sample estimate's upper and lower bounds is represented by the margin of error.One defines a degree of confidence or the confidence interval in the sample findings using the margin of error.4,500 cities make up the entire population of planet Purple.
350 cities make up the random sample.
Average complaints are 3.4.
Error or margin = 0.49
[350 x (3.4 + 0.49)] Upper limit = 1,361.5
Lower limit: 1,081.5 (350 times (3.4 - 0.49).
As a result, Option A's estimated number of feral cat complaints floats above the error margin.
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5. A train leaves Town A at 0845 hours and arrives at Town B at 1510 hours. (i) How long does the train take to travel from Town A to Town B? (ii) If the average speed of the train is 108 km/h, find the distance between Town A and Town B.
Answer: 108×1000×425 |
Step-by-step explanation:
Step 1: Speed of the train=108km/h
- Time taken=6hrs25mins
- =6+25/60=6+041=6.41hrs
Step 2: Distance =speed X time
- =108X08×1000×425
Hope this helps!
Answer:
(i)The train takes 0625 hours to travel from Town A to Town B.
(ii)The distance between Town A and Town B is 693 km.
Step-by-step explanation:
(i)
Leaving time of the Train from Town A= 0845 hours.
Arriving time of the Train at Town B= 1510 hours.
Thus, the total time taken by the train to travel from Town A to Town B is:-
=> Arrival time at Town B - Departure time from Town B = (0845-1510)hours
= 0625 hours.
Therefore, the total time taken by the train to travel from Town A to Town B is 0625 hours.
(ii)
The average speed of the train is 108 km/h.
The total time taken by the train is 0625 hours, which can also be
expressed as
6 5/12 hours,
We know that,
=> Distance = Speed X Time [Speed-Distance formulae]
= 108 X 6 5/12 => 693 km.
Therefore, the distance between Town A and Town B is 693 km.
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https://brainly.com/question/26046491Monica would like to save up $10,000. She is going to make monthly deposits for 5 years into an account that will get 2.05% compounded monthly. How much does she need to deposit in the account to reach her goal?
Answer: $91017.17865 / 12 = $7585.5987
Step-by-step explanation:
To solve this problem, we need to first determine the total interest that will be earned on the account over the 5-year period. We can do this by using the formula for compound interest, which is:
A = P (1 + r/n) ^ nt
where A is the total amount of money in the account after the interest has been compounded, P is the initial deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years the money is deposited.
In this case, the initial deposit is $10,000, the interest rate is 2.05%, the number of times the interest is compounded per year is 12 (because the interest is compounded monthly), and the number of years the money is deposited is 5. Plugging these values into the formula, we get:
A = 10000 (1 + 0.0205 / 12) ^ (12 * 5)
A = 10000 (1.001708333) ^ 60
A = 10000 (1.101717865)
A = 101017.17865
Therefore, the total amount of money in the account after 5 years will be $101017.17865.
Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:
101017.17865 - 10000 = 91017.17865
Therefore, Monica needs to deposit $91017.17865 each month in order to save up $10,000 in 5 years. This means that she will need to deposit $91017.17865 / 12 = $7585.5987 per month in order to reach her goal.
How do you find the domain and range of a square root graph?
Domain and range of a square root graph is [0, ∞) and [0, ∞) respectively.
Domain of a function:
The domain of a function is the set of input values (x) for which it produces an output value.
Range of a function:
The set of all output values of a function.
Like if we consider a function [tex]y = f(x)[/tex]
then input inside function that is x is know as domain of function
output of function that is y is known as range of function.
First we write square root function as y = [tex]\sqrt{x}[/tex]
So inside root negative numbers are not allowed so value of x should be positive numbers means x>=0.
So domain of square root function [0, ∞).
Output of square root function is always positive so range of square root function is also [0,∞).
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What is the past verb of split?
The past verb of the word split is to divide any number or a group into smaller or subgroups.
Explanation:
The past verb of the word split is :
To divide any number or a group into smaller group.Past tense of the word is a word split.Verb represents the action or doing of any given word.It represents the irregular verb.For example split any large number into small ratio of prime numbers.Split group of children into subgroups to make the work easy.Therefore, the past verb of the word split is given to divide a number or any group into smaller parts or subgroups.
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How do you find the maximum value of a set?
The ven diagram from set theory must be used to determine the highest value and minimum value in a set.
We're using this as an illustration.
Let A and B represent two sets with 4 and 7 items, respectively. The maximum number of elements that A and B can have is then written.
So let's assume:
A's element count is equal to n. (A).
B's element count is equal to n. (B).
The sum of the elements of A and B is n (A and B).
Now, here is the equation for the components of A U B:
n(A∪B)=n(A)+n(B)−n(A∩B)
The answer to the question states that set A's element count is four, whereas set B's element count is seven. We can thus write:
The number of elements that are included in both sets A and B is represented by the numbers n (A) = 4 and n (B) = 7.
The maximum number of elements in n(A,B) must be determined. Therefore, when n(AB) is smallest and when n(AB) is zero, n(AB) is at its maximum.
n(A∪B)=n(A)+n(B)−n(A∩B)⇒n(A∪B)=4+7−0⇒n(A∪B)=11
Hence, the maximum number of elements in A∪B is 11.
You might be asking why n (AB) must be minimized in order to be maximized, and why the minimal value of n (AB) is 0.
In the formula for n (A∪B),
n(A∪B)=n(A)+n(B)−n(A∩B)
L.H.S will be maximized when in the R.H.S; the term after minus sign will be minimized. Hence, n (A∩B) must be minimized.
The fact that n (AB) can take on any value less than 0 indicates that there are no elements in sets A or B that are shared by both sets. Furthermore, it's possible that the two sets we have don't share any elements.
When no elements is common in both the sets, the n (A∩B) is ∅.
The set which has no element in it is called a null set or an empty set.
By this we can find maximum value in a set.
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A line passes through the points (3,5) (2,0)
Answer:
M=5
Step-by-step explanation:
Use the slope formula to find the slope
Which is a solution to the equation |10-5y|=20
y=2
ОУ-4
y-6
y=10
Answer:
y=6
Step-by-step explanation:
**THE ANSWER IS POSITIVE! WHAT I GOT WAS A NEGATIVE SINCE THE CLOSEST ANSWER WAS 6.**
Since 5 × -6 is -20, we would subtract that with the 10.
So, 10-5(-6) = -20.
*please let me know if this is correct or not!*
On oct. 15, 2003, yang liwei orbited the earth 14 times in 21 hours for the country of china. How many hours did it take liwei to orbit the earth one time?.
Yang Liwei took 1.5 hours to orbit the earth one time.
What is an Orbit?A route that an object in space follows around another is known as an orbit.. An orbit is a regular, repeating path that one object in space takes around another one.
Given that the Yang Liwei orbited the Earth 14 times in 21 hours for the country of China.
To find the time period in one time,
Required time period = time period of total travel / number of times he orbited
Required time period = 21 / 14
Required time period = 3/2
Required time period = 1.5 hours
Hence, Yang Liwei will take 1.5 hours to orbit the earth one time.
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2x(4 + 3) + 3x PLEASEE I ALKSO NEED AN EQUATION
Answer:
the answer would be 17x
Step-by-step explanation:
Answer:
17x
Step-by-step explanation:
Simplify 2x times 7 to 14x= 14x+3x
17x
This shows a graph.
For which choice is the graph increasing over the entire interval?
0 < x < 2
2 < x < 4
-3 < x < 0
-3 < x < 4
Answer:-3 < x < 0
Step-by-step explanation:
Help
Simplify the expression:
3(2 + 5t) =
Answer:
6+15t
Step-by-step explanation:
3(2+5t)
3(2)+3(5t)
6+3(5t)
6+15t
PLEASE HELP WITH THIS GEOMETRY!!! 50 POINTS
Answer:
cant help if there's no question
Step-by-step explanation:
suppose the scores of a standardized test are normally distributed. if the population standard deviation is 2 points, what minimum sample size is needed to be 90% confident that the sample mean is within 1 point of the true population mean?
The minimum sample size is 11 needed to be 90% confident that the sample mean is within 1 point of the true population mean.
What is the mean?
Mean, in terms of math, is the total added values of all the data in a set divided by the number of data in the set.Given:
Standard deviation, σ = 2points
Confidence level = 90%
Sample mean, ε = 1 point
At 90% confidence level
1 - α = 0.90
α = 1 -0.90
α = 0.10
α/2 = 0.05
Zα / 2 = Z₀.₀₅
= 1.645
To find n
n = (Zα / 2 )*(σ)²
= (1.645)² * (2)² / (1)²
= (2.706) * 4
= 10.8241
n = 11
Hence, the minimum sample size is 11 needed to be 90% confident that the sample mean is within 1 point of the true population mean.
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Erik wants to save $650. He has $125 and plans to save $17.50 each month. Write an equation (Blank 1) to determine the number of months it will take Erik to save the $650? Then solve the equation and put your answer in Blank 2
and brainliest for extra point this question 100 since that is my limit is that
The required equation is $650 / 17.50 = 37$ to determine the number of months and the solution to the equation is 37.
To determine the number of months it will take Erik to save the $650, we need to find out how many $17.50 increments are in $650. We can do this by dividing $650 by $17.50. This gives us 37.142. Since Erik can only save in whole dollar amounts, we can round this number down to 37.
Thus, the equation we are looking for is $650 / 17.50 = 37$, where the left side of the equation represents the total amount of money Erik wants to save, divided by the amount of money Erik saves each month. The right side of the equation represents the number of months it will take Erik to save the $650.
Therefore, we can fill in the blanks as follows:
Blank 1: $650 / 17.50 = 37$
Blank 2: 37
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The area of square 1 is 25 cm2, the perimeter of square 2 is 12 cm. What is the area of square 3?
Answer: The are of square 3 is 9cm
the area of square = a^2
= 3 ^2 = 9
Step-by-step explanation:
emily has gotten c's on her first three accounting exams. each exam is worth 25% of her final grade. even though she wants an a in the class, she is not planning to study harder for the fourth (and last) exam. which part of expectancy theory might explain why?
Emily can't get an A in the class, even if she gets an A on the last exam. This expectancy theory might explain.
Expectancy theory suggests that indivisuals are motivated to perform if they know that their extra performance is recognized and rewarded. Consequently companies using performance-based pay can expect improvements.
Expectancy theory explains the process of why someone chooses one behavior over another. In making this conclusion choice, there are three elements considered: expectancy, instrumentality and valence.
Expectancy is the belief that your effort will lead to better performance.
Instrumentality is the trust that if you perform well you will achieve the outcome you expect.
Valence is the how important you feel the outcome, and any related reward is to you personally.
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Whitney wants to save up some money to buy a new smartphone, so she babysits on the weekends.
There is a proportional relationship between the time Whitney spends babysitting (in hours), x, and the amount of money she earns babysitting (in dollars), y
Given the proportional relationship between the time Whitney spends babysitting (in hours), x, and the amount of money she earns babysitting (in dollars), y, she needs to babysit for 2 hours to earn $12.
What is a proportional relationship?A proportional relationship refers to the relationship between two or more values with equal ratios.
Proportions are relative values or ratios, depicted in fractions, percentages, or decimals.
Equation, y = 6x
Where y = the amount of money Whitney earns babysitting (in dollars)
And x = the hours of babysitting
If y = $12, the number of hours that Whitney needs to babysit is 2 hours ($12/$6)
y = 6x
6x = y
x = y ÷ 6
x = 12 ÷ 6
x = 2
Check:
12 = 6x
12 = 6(2)
12 = 12
Thus, based on the equation modeling the proportional relationship, Whitney should work 2 hours.
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Question Completion:y. The equation that models this relationship is y = 6x. How long does Whitney need to babysit to earn $12? Write your answer as a whole number or decimal.
during the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute. the next day, the group hiked 8.6 miles in 3 hours and 47 minutes. what was the group's average speed over the two days?
Over the two days, the group traveled an average speed of 2.79 miles per hour.
Given:
during the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute.
he next day, the group hiked 8.6 miles in 3 hours and 47 minutes.
we are asked to find the group's average speed over the two days = ?
average speed = total distance / total time
total distance = 10.4 + 8.6 mi = 19 miles
total time = ( 181 + 227 min ) = 408 min
hence average speed = ( 10.4 + 8.6 mi) / ( ( 181 + 227 min )/60 min/hr) =2.79 mi/hr
Hence we get the average speed as 2.79 miles/hour.
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A ticket company charges a service fee of 5% of the ticket price for each ticket to a concert. Use this information to complete the table.
enter the correct answer in the box
In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25
According to the given information
In First Case
We are given
The Ticket price is = $19
Service fee is 5% of ticket price
19 × 5% = 0.95
Service fee is $0.95
Total Cost including service fee is $19.95
In Second Case
We are given
Service fee = $1.4
The ticket price = 1.4 ÷ 5%
= $28
Total Cost including service fee is $29.4
In Third Case
Total Cost including service fee is $47.25
Ticket price = 47.25 ÷ ( 1 + 5% )
= $45
Service Fee = 45 × 5%
= $2.25
In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25
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Which inequality represents this statement?
A number is no more than 5.
On≤5
On 25
On>5
On <5
The inequality represents a number no more than 5 is n < 5.
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
We have to find which inequality represents a number no more than 5.
Consider, the first inequality n ≤ 5.
This inequality contain 5 and less numbers.
Consider the second inequality n ≥ 25
This inequality contain numbers 5 and more
For n > 5
This inequality contain numbers more than 5.
For n < 5
This inequality does not contain number more than 5.
Hence, the inequality represents a number no more than 5 is n < 5.
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greatest to least 3.1, -0.5, 1, -2.85 , -3.04
Answer: 3.1, 1, -0.5, -2.85, -3.04
Step-by-step explanation:
Answer: 3.1, 1, -0.5, -2.85, -3.04
Step-by-step explanation:
The reason it is like this is because 3.1 is greater than the negative numbers and 1 so that would put it in first.
The second would be 1 because it is greater than all of the negative numbers.
The third would be -0.5 because it is greater than the other negative numbers.
The fourth would be -2.85 because it is greater than the last negative number.
So the fifth number would be -3.04 because it is the last number there is.
44. The quotient of 16 and a is greater than 4. What is a possible value of a?
A. 2
B. 4
C. -2
D. 8
E. 5
Answer:
A
Step-by-step explanation:
16 / a = x (+ r)
16 is the dividend
a is the divisor
x is the quotient
(r is the remainder, if the division is an integer division)
the smaller the divisor, the larger the quotient, of course. and vice versa.
remember, a division is the calculation how often the divisor fits into the dividend.
therefore, the smaller the divisor, the more often it fits into the dividend.
the quotient must be greater than 4. so, 4 itself is not a valid quotient for this problem.
but let's start with it :
16 / 4 = 4.
so, a = 4 (B) is not a valid solution.
to make the quotient larger (than 4), a must be smaller than 4.
the only valid solution is
A a = 2
except for C all other answer options are larger than 4 making the quotient smaller than 4.
and C is negative, which would make the quotient negative and therefore smaller than 4.
so, A is the only remaining valid answer.
16/2 = 8
perfect. the quotient (8) is larger than 4.
Change 120 km/h into km/min.
Answer:
Step-by-step explanation:
2 because in a hour there is 60 minutes so you just divide 120 by 6 and you get 2 km per minute
Forces of 34 N and 46 N make an angle of 42° with each other and are applied to the same point. Find the magnitude and direction of the resultant force.
The magnitude and direction of the resultant force are respectively; F = 44.954 N and θ = 36.47°.
How to find the magnitude and resultant of two forces?We are given two forces as;
F₁ = 34 N
F₂ = 46 N
Angle between the two forces; θ = 42°
Now, the formula to find the resultant of the two forces is gotten by using the cosine rule as;
F = √[F₁² + F₂² + 2F₁F₂cos θ]
Where θ represents the angle between the two force vectors
Thus;
F = √[34² + 46² + 2(34 * 46 * cos 42]
F = 44.954 N
the direction will be;
θ = tan⁻¹(34/46)
θ = 36.47°
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find mean, median, mode, and range for class 1, class 2 and class 3
Answer:
Class 1
Mean 78.83
Median 88
Mode 90
Class 2
Mean 79.42
Median 85.5
Mode 90
Class 3
Mean 79.42
Median 78
Mode 75 and 80
rotate point x (0,0)) 270 degrees clockwise about the origin then T<3,5>
here this probally will help
Answer:
5, 3
Step-by-step explanation: