Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?
The weight of the third heaviest among the four dogs is 2 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.
Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.
29 + 28 + 2 + 1 = 60 kg
The weight of the third heaviest among the four dogs is 2 kg.
Find out more on equation at: https://brainly.com/question/2972832
A park has a rectangular shape. One side of the park is 175 23 meters long and the
other is 67.5 wide. Find the area of the park. (Round to the nearest hundredth if
necessary)
Answer:
Step-by-step explanation:
The area of a rectangle is length x width.
Given:
length = 175.23m
width = 67.5m
Area = 175.23m x 67.5m = 11828.025[tex]m^{2}[/tex]
Help help ASAP math math
Answer:
-9
Step-by-step explanation:
225 ÷ -25 = -9
The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.Find the vertex of this parabola:
y = -4x2 + 8x - 13
Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).
Giselle played with some friends on Monday. She played with 2 times as many friends on Wednesday.This was 4 more than on Friday.On Friday,she played with 4 friends.How many did she play with on Monday?
You can download the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
Evan walked 2 1/8 miles to his aunts house. He has already walked 6/8 mile. How much farther does Evan have to go?
Rewrite 2 1/8 as 17/8
Now subtract:
17/8 - 6/8 = 11/8 = 1 3/8
answer : 1 3/8 miles left
A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers
Answer:
150 miles
Step-by-step explanation:
speed = 120 km per hour
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 2 hours = 75 * 2 = 150
Result : Speed = 75 miles per hour , distance = 150 miles
solve please. find volume
The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it
[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]
Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Kyle lives in a state that has a 6% (or 0.06) sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables?
Group of answer choices
t = 6c
t = 0.6c
t = 0.06c
t = c + 0.06
Answer:
The answer is the 3rd option
t = 0.06c
Answer:
t = 0.06c
Step-by-step explanation:
29. An acting improvisation class divides into 6 teams that each have at
most 4 students.
a. Write and solve an inequality to represent the number of students
in the class.
b. Each team has at least two students. Could there be 20 students in
the class? Explain why or why not.
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of students in the class, hence:
x ≤ 6(4)
x ≤ 24
If each team has at least 2 students:
x ≥ 6(2)
x ≥ 12 and x ≤ 24
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
Find out more on inequality at: https://brainly.com/question/24372553
Solve: |2x+3|=2 CAN SOMEONE PLEASE EXPLAIN THIS TO ME!!!
Answer:
-1/2 or -5/2
Step-by-step explanation:
| | means the absolute value (distance from 0), so there is going to be a positive case and a negative case (distance from the negatives and distance from the positives).
POSITIVE CASE
[tex]2x+3=2\\2x=-1\\x=-\frac{1}{2}[/tex]
NEGATIVE CASE
[tex]-(2x+3)=2\\-2x-3=2\\-2x=5\\x=-\frac{5}{2}[/tex]
So, your answer would be -1/2 or -5/2.
Step-by-step explanation:
after 4x^2+12x+5
do sum and product but I solved it directly through calculator
hope it helps
Which function is best represented by this graph? Brainliest
Answer:B
Step-by-step explanation:the slope is 1/4, and it crosses the y axis at -2.
ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of this rectangle.
Answer:
Step-by-step explanation:
Ratio of length : width = 4 : 7
Length = 4x
Width = 7x
Longer side = 31.5 in
⇒ 7x = 31.5
Divide both sides by 7
x = 31.5/7
x = 4.5
length = 4x
= 4*4.5
l = 18 in
width = 31.5
w = 31.5 in
[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]
= 2*18 + 2*31.5
= 36 + 63
= 99 in
[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]
= 18*31.5
= 567 in²
Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm
Answer:
Step-by-step explanation:
Scale factor = 4 : 500
= 1 : 125
Let the length of hall in her plan = x cm
1 : 125 = x : 1050
[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]
Cross multiply,
1*1050 = x*125
[tex]\sf x =\dfrac{1050}{125}[/tex]
x = 8.4 cm
The length of the hall in her plan = 8.4 cm
Please help (also please write the formula on how to get the answer)
can you show me how to do this problem 11/5 + 23/10 =
Answer:
The answer to the problem is 4 1/2
Answer:
9/2
Step-by-step explanation:
the answer is 9/2 or 4.5,
the solution for that I have attached below
MARK ME AS BRAINLISTPlease Help i Need this asap and i dont know
Answer: Its 1,110
Step-by-step explanation:
Question 2:
If the following frequency distribution shows the average number of students per teacher in the 50 major cities of Pakistan
Class Limits Frequency
9-11 3
12 – 14 5
15 – 17 12
18 – 20 18
21 – 23 8
24 – 26 4
Table 1
Determine
• Range
• Mean
• Median
• Mode
• Standard Deviation
• Relative Dispersion
• Variance
• Kurtosis
With the frequecy distribution shown in the 50 cities of pakistan,
range = 18mean = 18.1median = 19.8333mode = 19.125kurtosis = 2.7508Standard deviation = 3.75How to find the Range= highest value - lowest value
= 26.5 - 8.5
= 18
How to find the mean= ∑ f x / ∑ f
= ∑ f x / N
= 905 / 50
= 18.1
median
= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )
C = cumulative frequency preceeding to the median class frequency
h = class interval
= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18
= 18.5 + 1.3333
= 19.8333
How to find the modeThe mode is the value with the highest frequency occurence. This is under class 18 - 20
mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h
f1 = fequency of the modal class
f0 = freqency of the preceeding modal class
f2 = frequency of the next modal class
h = class interval
= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 ) ) * 3
= 18 + ( 0.375 ) * 3
= 19.125
How to find the standard deviation= sqrt ( 1 / N ∑ f ( x - x' )^2 )
= sqrt (1 / 50 * 706.5
= 3.7589
How to solve for relative dispersion= standard deviation / mean
= 3.7589 / 3
= 1.2530
What is the variance?= ( standard deviation )^2
= ( 3.7589 )^2
= 14.1293
How to solve for kurtosis= ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )
= 27459.405 / ( 50 * 3.7589^4 )
= 2.7509
Read more on frequency distribution here: https://brainly.com/question/1094036
fx=x^2-2x+8
I need some help with this math problem if you can give me the process
Answer:
x³/3 - x² + C
Step-by-step explanation:
∫ x² - 2x + 8 dx
= x³/3 - x² + C
when finding the derivative, you need to take the power plus 1 then divide by the power x^(2+1)/(2+1) = x³/3
the same goes for 2x and the 2/2 is 1 so you would get x²
since you are finding the derivative for x and 8 is a constant it equals zero.
when integrating you always need to add C at the end and C stands for a constant. The only time you do not add C is when the integral goes from one constant to the next.
Example: [tex]\int\limits^1_0 {x^2 - 3x +9} \, dx[/tex] like this...
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answer the following questions.
a. Suppose a random sample of 150 couples is asked, "Did you meet online>" Describe the sampling distribution of p, the proportion of couples that met online.
b. What is the probability that in a random sample of 150 couples more than 25% met online?
c. What is the probability that in a random sample of 150 couples between 15% and 20% met online?
Using the normal distribution and the central limit theorem, we have that:
a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
22% of couples meet online, hence p = 0.22.A sample of 150 couples is taken, hence n = 150.Item a:
The mean and the standard error are given by:
[tex]\mu = p = 0.22[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338[/tex]
The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.
Item b:
The probability is one subtracted by the p-value of Z when X = 0.25, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.25 - 0.22}{0.0338}[/tex]
Z = 0.89
Z = 0.89 has a p-value of 0.8133.
1 - 0.8133 = 0.1867.
There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.
Item c:
The probability is the p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15, hence:
X = 0.2:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.2 - 0.22}{0.0338}[/tex]
Z = -0.59
Z = -0.59 has a p-value of 0.2776.
X = 0.15:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.15 - 0.22}{0.0338}[/tex]
Z = -2.07
Z = -2.07 has a p-value of 0.0192.
0.2776 - 0.0192 = 0.2584.
There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesosPlease help me with this question I am having difficulty with it
Answer:
The first x=4 y=8
Step-by-step explanation:
2x-5 = y-5
x+1 = y-3
Multiply the second by -2(to eliminate x)
2x-5 =y-5
-2x-2= -2y+6
ADD BOTH
-7 = -y+1
y=8
PLUG y
x+1 =y-3
x+1 =8-3
x+1=5
x=4
Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she receive?
19.99 + 15= 34.99
40-34.99 = 12.51
Jenny received $5.01 change.
Karen, Lamar, and John sent a total of 160 text messages over their cell phones during the weekend. John sent 4 times as many messages as Lamar. Lamar sent 10 fewer messages than Karen. How many messages did they each send?
Answer:
Karen= 35 messages
Lamar= 25 messages
John= 100 messages
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.
[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]
K +L +J= 160 -----(1)
J= 4L -----(2)
L= K -10 -----(3)
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]
Substitute (3) into (2):
J= 4(K -10)
J= 4K -40 -----(4)
Substitute (3) and (4) into (1):
K +(K -10) +(4K -40)= 160
Simplify:
6K -50= 160
6K= 160 +50
6K= 210
Divide both sides by 6:
K= 210 ÷6
K= 35
Substitute K= 35 into (3):
L= 35 -10
L= 25
Substitute L= 25 into (2):
J= 4(25)
J= 100
[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]
Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.
Help picture below please
Answer:
tkm
Step-by-step explanation:
First T the middle k and at last m
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850. The stock in Company A has increased 20% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
Step-by-step explanation:
Final Answer: 19.5%
The total percentage 19.5% increase in the investor's stock account
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850.
The total worth is $5900 + $1850 = $7750
The stock in Company A has increased 20% since last year.
So,
20% of 5900,
= 20 x 5900 /100
= $1180
And the stock in Company B has increased 18%.
So,
18% of 1850,
= 18 x 1850/100
= $333
The total increased amount,
= $333 + $1180
= $1513
The increased percentage,
1513 = n x 7750/100
n = 1513 x 100/7750
n = 19.522
n = 19.5% to the nearest tenth.
Therefore, 19.5% is the required percentage.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
The product of two positive rational numbers is greater than either factor.
Provide at least two examples to show that this statement is only sometimes true
Answer: 1/2 x 1 = 1/2
1/3 x 3 = 1
Step-by-step explanation: 100% Sure! :D