The coordinate of point P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 is [tex](-\frac{22}3, \frac{23}6)[/tex]
How to determine the coordinates of P?The given parameters are:
A = (-9,3)
B = (1, 8)
m : n = 1 : 5
The coordinate of point P is then calculated using:
[tex]P = \frac{1}{m + n} (mx_2+nx_1,my_2+ny_1)[/tex]
Substitute known values
[tex]P = \frac{1}{1 + 5} (1 * 1 + 5 * -9, 1 * 8 + 5 * 3)[/tex]
Evaluate
[tex]P = \frac{1}{6} (-44, 23)[/tex]
Evaluate the product
[tex]P = (-\frac{22}3, \frac{23}6)[/tex]
Hence, the coordinate of point P is [tex](-\frac{22}3, \frac{23}6)[/tex]
Read more about line segment ratio at:
https://brainly.com/question/12959377
#SPJ1
find the values of a,b and c
Answer:
[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]
Step-by-step explanation:
[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]
Which of the equations listed are parallel lines?
A:y=2x+ 3
B: y = 2x-5
C:y= -2x+ 3
Answer:
A and B
Step-by-step explanation:
Hello!
Parallel lines are lines with the same slope but different y-intercept.
y = mx + b
y = output, y-value, ordinatex = input, x-value, abscissam = slopeb = y-interceptA:
y = 2x + 3 has a slope of 2 and a y-intercept of 3.
B:
y = 2x - 5 has a slope of 2 and a y-intercept of -5
C:
y = -2x + 3 has a slope of -2 and a y-intercept of 3
Since A and B have the same slope but a different y-intercept, they are parallel lines.
hellppppppppppppppppppp
Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
__
setuptan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
solutionMultiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
_____
Additional comment
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
Solve:2 In 3 = In(x-4)
x=13 and don't forget to mark me brainlist!
A study of the amount of time it takes a specialist to repair a mobile MRI shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 32 broken mobile MRIs are randomly selected, find the probability that their mean repair time is less than 8.9 hours.
Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]
The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]
Z = 1.57
Z = 1.57 has a p-value of 0.9418.
1 - 0.9418 = 0.0582.
0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
More can be learned about the normal distribution at https://brainly.com/question/27643290
#SPJ1
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
O 500(10) + 600(2)
O 500(12) + 600
O 500(12)
O 500(2) + 600(10)
Answer:
500(10) + 600(2)
Step-by-step explanation:
Answer:
500(10) + 600(2)
Step-by-step explanatio:
500*10+600*2
5,000+1,200
6,200
The average age of a father and his four children is 12 years. The children are aged 3, 5, 6 and 10 years. Find the age of the father.
Answer:
Father=36 years old
Step-by-step explanation:
5 people 4 children and a father
average age=12
add the ages
3+5+6+10=24
24+12=36
check the work
36 +24=60
60/5=12
answer=36
Answer:
36 years old
Step-by-step explanation:
The average age of father and four children can be expressed in mathematics as:
[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]
The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:
[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]
Determine or let the following be:
f = father’s agec1 = first child’s agec2 = second child’s agec3 = third child’s agec4 = fourth child’s ageIt is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]
From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.
First, multiply 5 both sides to get rid of denominator.
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]
Evaluate 3+5+6+10 which equals 24.
[tex]\displaystyle \large{f+24=60}[/tex]
Next, subtract both sides by 24 to isolate f-term.
[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]
Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!
If you have any doubts, please let me know in the comment!
30 people are running for an office to be chosen randomly. You plan to use a 6-sided dice and a spinner. How many sections need to be on the spinner so each person has their own shape and number?
Select one:
a.
8
b.
6
c.
5
d.
24
The number of sections on the spinner so that each person has heir own shape and number is 5
How to determine the number of sections?The given parameters are:
People, n = 30
Die = 6 sided
Let the sections on the spinner be s.
The equation to calculate s is represented as:
People = Die * s
This gives
30 = 6 * s
Divide both sides by 6
s = 5
Hence, the number of sections on the spinner so that each person has heir own shape and number is 5
Read more about spinners at:
https://brainly.com/question/24855677
#SPJ1
How do u find the volume of 10m ,12m ,and 15m room
Answer:
1800 meter cube
Step-by-step explanation:
you know volume = W× h× b = meter cube
10 m × 12m× 15m = 1800 meter cube
In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
Ted is cooking a stew. A stew for 4 people requires 300g potato, 180g meat and 500g root veg. He wants to cook the stew for 6 people. He has the following ingredients: 480g potato 300g meat 750g root veg Does he have enough to cook for 6 people?
PLEASE HELP!! 50 POINTS!!
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation:
Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x
Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
Logarithmic functionLogarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
learn more on log function here: https://brainly.com/question/13473114
#SPJ1
To spend the least amount total, amir should buy the computer in . amir would pay the most sales tax in . amir would pay $60 in sales taxes in .
Amir should buy the computer in Paris
Amir would pay the most sales tax in Maryland.
Amir would pay $60 in sales tax in Washington DC
The complete question is
Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in
What is sales tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services.
In Washington, DC, the sales tax rate is 6 percent.
Paris, the sales tax rate is 5 percent.
Maryland, the sales tax rate is 9 percent.
1. To buy the computer he should prefer Paris
2. To pay the most sales tax he should prefer Maryland.
3. To pay $60 in sales tax in he should prefer Washington DC.
Learn more about this concept here:
https://brainly.com/question/10972734
#SPJ1
Answer:
virginia, maryland, washington
Step-by-step explanation:
edge
4X+8<28
ayudenme por favor
Answer:
x < 5.
Step-by-step explanation:
Creo que esto es correcto. :')
I need help please help me please
Answer:
1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8
< = Angle
Year(x) 1971
Percent(y) 42.4
1978
37.4
1980
37.1
1984
34.1
1989
32.1
1993
28.8
1997
25.7
2000
25.5
Answer:
25.5
Step-by-step explanation:
I did the same assignment
Calculate the first and second
differences for the function f(x)=
3x² +5
xy First Differences
Second
Differences
05
18
217
332
453
Answer:
Hi,
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|c|}x&3x^2+5&\Delta_1x&\Delta_2x\\--&--&--&--\\0&5&-&-\\1&8&3&-\\2&17&9&6\\3&32&15&6\\4&53&21&6\\--&--&--&--\\\end{array}[/tex]
Answers for this worksheet???
Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL
Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.
- Hope this helps!
What is true about the net of a pyramid?
It will always contain exactly 1 triangle.
It will always contain exactly 2 triangles.
It can contain any number of triangles greater than or equal to 3.
It can contain any number of triangles greater than or equal to 4.
A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.
What is the net of a 3-D shape?A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.
The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.
Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.
Learn more about Net of a 3-D Shape:
https://brainly.com/question/16679841
#SPJ1
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
Every triangle has __________ midsegments. : A) three B) two C) zero D) one
A butterfly is 12 inches long and 13 inches wide. Lashay makes a scale drawing
of the butterfly that is 1 inch long. What is the width of his drawing?
Answer:
1.08 inches
Step-by-step explanation:
13 / 12 , to keep aspect ratio the same
URGENT PLEASE HELP. CORRECT ANSWERS GETS BRAINLIST
Usain Bolt ran the 100m final at the 2012 Olympic Games in 9,63 seconds. Convert the time he ran the race to minutes. Write your answer in scientific notation.
Answer: 1.601 × 10^-1
Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes
9.63 seconds = 9.63/60 minutes
9.63/60 = 963/6x1000 = 321/2x1000
=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)
1. The letters of the word MASK are placed in a box. What is the probability that you get M when you pick from the box without looking? 2. Eunice and the other 5 applicants apply for a job as a nurse. What is the probability that Eunice gets hired? 3. Four boys and six girls are joining the final Math Quiz. What is the probability that one of the girls wins?
Answer:
1. 25%
2 and 3: See below.
Step-by-step explanation:
1. There are 4 letters in the box, all different. The odds of randomly picking 1 letter is 1/4, or 25% That is true for any of the letters.
Questions 2 and 3 technically cannot be answered. In both cases, the selection process involves more than random chance. The selection of a nurse depends on qualifications such as training and experience. Winning the math quiz depends on knowledge and practice. Neither question is a random selection.
If the questions were random, the answers would be:
2. 1/5 or 20% that Eunice gets picked, and
2. 6/10 or 60% that a girl wins
What segment is the altitude to side AC?
Segment CR
Segment BT
Segment BL
Find the value of x. (Giving 30 points please hurry)
Answer: Hope this helps you!
x = 4
Step-by-step explanation:
4+(x-3) = 2x-3
remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)
4+x-3 = 2x-3
Simply
1+x = 2x-3
subtract x from both sides
1 = 1x -3
add 3 to both sides
4 = 1x
divide by 1
4 = x
Brainliest?
Here is a growing pattern of sequences:
Answer:
A, C, F
Step-by-step explanation:
The first figure is drawn using 8 squares. The next uses 11 squares, and the one shown in Step 3 uses 14 squares. The numbers of blocks follow the sequence ...
8, 11, 14
which begins with 8 and increases by 3 from one step to the next. This constant increase from one term to the next makes it an arithmetic sequence.
__
explicit formThe general term, an, of an arithmetic sequence can be written in terms of its first term, a1, and its common difference, d, as ...
an = a1 +d(n -1)
When the first term is a1=8, and the common difference is d=3, this becomes ...
an = 8 +3(n -1)
which simplifies to
an = 8 +3n -3 = 3n +5
Written in functional form, these explicit equations are ...
f(n) = 8 +3(n -1) . . . . . matches choice A
f(n) = 3n +5 . . . . . . . . matches choice F
__
recursive formThe recursive form of the definition of a sequence starts with the first term, then tells you how to obtain the next term from that. Here, the first term is ...
f(1) = a1 = 8
and each term is 3 more than the last:
f(n) = 3 +f(n-1) . . . . . . . . . 3 is added to the previous term
Together, this is ...
f(n) = 8, f(n) = 3 +f(n -1) . . . . . matches choice C
A water tank is built in the form of a right rectangular prism, with dimensions that measure 17.6 ft by 12.6 ft by 10.4 ft. How many cubic feet of water would it hold when it’s a quarter full?
Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The total volume of the right rectangular prism will be,
Total Volume = 17.6ft × 12.6ft × 10.4ft
= 2306.304 ft³
Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.
Now, the amount of water that this tank will hold till it is a quarter full is,
Amount of water = Total volume /4
= 2306.304ft³ / 4
= 576.576ft³
Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ1
The chess club offered free ice pops to 200 students. Only
170 students accepted the treat. What percentage of students accepted an ice pop?
Answer:
Below
Step-by-step explanation:
100 * 170/200
= 170/2
= 85%.