find the midpoint of A and B where A has coordinates (-5,3) and B has coordinates (3,-1)
Let M = midpoint
M = (-5+3/2, -1+3/2)
M = (-2/2, 2/2)
M = (-1, 1)
Owen spent $1.29 on a pen and $0.38 on an eraser at th school store. What was the total amount he spent?
Answer:
$1.67
Step-by-step explanation:
Add your costs:
1.29 + 0.38
Solve for your total:
1.29 + 0.38 = 1.67
Describe what a loan discount point is and what effect it has on a home loan.
Answer:
A loan discount point reduces the interest rate that is paid on a home loan. One point reduces the interest rate by 1/8 of a percent, which reduces the amount of the monthly payment.
Step-by-step explanation:
The meaning that loan discount points have is the fact that they are fees that are used to buy down rates.
The effect of a loan discount point on a home loanThe effect that the loan discount point has on home loan is the fact that it helps to lower loans by about 0.25 percent.
The points helps you on your home loan by giving you a lower interest rate which then means that you have to pay lower over time.
Read more on discount points here:https://brainly.com/question/2764956
Write down step by step the process that you use
to solve multiplying a fraction by an integer.
Answer:
you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the denominator goes where the numerator is.
Step-by-step explanation:
The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ. What is the minimum value of the sum of the lengths of AP, BP, and C
The question is missing parts. Here is the complete question.
The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ.
What is the minimum value of the sum of the lengths of AP, BP and CP?
Answer: The sum is 4.73.
Step-by-step explanation: Height of a triangle is a perpendicualr line linking a vertex and its opposite side.
Because triangle ABC is isosceles, point Q divides the base in 2 equal parts:
BQ = CQ = 1
Suppose QP = x
To calculate minimum value of the sum:
AP = AQ - QP
AP = 3 - x
Since triangles BQP and CQP are congruent and right triangles, use Pythagorean Theorem to figure out the value of BP and CP:
BP = CP = [tex]\sqrt{BQ^{2}+PQ^{2}}[/tex]
BP = [tex]\sqrt{1+x^{2}}[/tex]
Then, sum of AP, BP and CP is
[tex]f(x)=3-x+2\sqrt{1+x^{2}}[/tex]
The minimum value is calculated using first derivative:
[tex]f'=-1+\frac{2x}{\sqrt{x^{2}+1} }[/tex]
The value of x is limited: it can assume value of 0, when P=A and x=3, when P=Q. So, interval is [0,3].
x has value:
[tex]-1+\frac{2x}{\sqrt{x^{2}+1} }=0[/tex]
[tex]2x=\sqrt{x^{2}+1}[/tex]
[tex]4x^{2}-x^{2}-1=0[/tex]
[tex]3x^{2}=1[/tex]
x = ± [tex]\frac{1}{\sqrt{3} }[/tex]
x can't assume negative value because is not in the interval:
x = [tex]\frac{1}{\sqrt{3} }[/tex]
To find the minimum value of the sum, substitute x in the function above:
f([tex]\frac{1}{\sqrt{3} }[/tex])=[tex]3-\frac{1}{\sqrt{3} } +2\sqrt{1+(\frac{1}{\sqrt{3} })^{2} }[/tex]
[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}}+2(\sqrt{\frac{4}{3} } )[/tex]
[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}} +\frac{4}{\sqrt{3}}[/tex]
[tex]f(\frac{1}{\sqrt{3}} )=3+\frac{3}{\sqrt{3} }[/tex]
[tex]f(\frac{1}{\sqrt{3}} )=4.73[/tex]
The minimum value of the sum of AP, BP and CP is 4.73.
The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.
According to this statement we must determine the sum of the line segment lengths so that a minimum is found. By Pythagorean theorem and given data we have the following expression:
[tex]y = AP + BP + CP[/tex]
[tex]y = 3-x +2\sqrt{x^{2}+1}[/tex] (1)
Now we proceed to find the critical values by performing first and second derivative tests.
FDT
[tex]-1 +\frac{2\cdot x}{\sqrt{x^{2}+1}} = 0[/tex]
[tex]2\cdot x = \sqrt{x^{2}+1}[/tex]
[tex]4\cdot x^{2}-x^{2}-1=0[/tex]
[tex]3\cdot x^{2} = 1[/tex]
[tex]x^{2} = \frac{1}{3}[/tex]
[tex]x = \frac{\sqrt{3}}{3}[/tex]
SDT
[tex]y'' = \frac{2\cdot \sqrt{x^{2}+1}-2\cdot x \cdot \left(\frac{2\cdot x}{\sqrt{x^{2}+1}} \right)}{x^{2}+1}[/tex]
[tex]y'' = \frac{2\cdot x^{2}+2-4\cdot x^{2}}{(x^{2}+1)^{3/2}}[/tex]
[tex]y'' = 2\cdot \frac{1-x^{2}}{(x^{2}+1)^{3/2}}[/tex]
[tex]y'' \approx 0.866[/tex]
A minimum exists when [tex]y'' > 0[/tex], then we conclude that [tex]x = \frac{\sqrt{3}}{3}[/tex] lead to a relative minimum. And by (1) we have the minimum sum:
[tex]y = 3-\frac{\sqrt{3}}{3}+2\sqrt{\frac{4}{3} }[/tex]
[tex]y = 3 - \frac{\sqrt{3}}{3} +\frac{4\sqrt{3}}{3}[/tex]
[tex]y = 3+\frac{\sqrt{3}}{3}[/tex]
The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.
Nota - The statement reports typographical issues, the correct form is presented below:
The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ. What is the minimum value of the sum of the lengths of AP, BP and CP.
We kindly invite to check this question on maxima and minima: https://brainly.com/question/12870574
A school had 225 students enrolled last year. This year, 260 students are enrolled. Find the percent of change to the
nearest percent.
Answer:
15.5%
Step-by-step explanation:
No of students that had enrolled last year = 225
This year, 260 students are enrolled.
We need to find the percent of change in the number of students. It can be calculated as :
P = (change in no of students/initial no of students)×100
[tex]\%=\dfrac{260-225}{225}\times 100\\\\=15.5\%[/tex]
So, the percent change is 15.5%.
During an election, Albert received 60% of the 30 votes cast. Anthony received the remaining votes. How many more votes did Albert receive?
Answer:
6 votes!
Step-by-step explanation:
Albert: 60% of 30= 18
Anthony: 40% of 30= 12
18 - 12= 6
Your friend thinks that the equation -3.3 = 21 is a true statement. Is your friend correct? Explain.
Hope this helps!!
M is the midpoint of line segment LN. Find the length of LN
Answer:
Step-by-step explanation:
Here is the complete question;
M is the midpoint of line segment LN. If LM= 3x + 5 and LN= 5x + 40, find the length of LN.
Since M is the midpoint of LN, hence LM + MN = LN and LM = MN
LM + LM = LN
2LM = LN ..... *
Given;
LM= 3x + 5
LN= 5x + 40
Substitute into the eqn *
2(3x+5) = 5x+40
6x+10 = 5x+40
6x-5x = 40-10
x = 30
Get the length LN
LN= 5x + 40
LN = 5(30)+40
LN = 150+40
LN = 190
Hence the length of LN is 190
Answer:
190
Step-by-step explanation:
(4x3 + 3x2 + 2x + 1)
(3 + 2)
Answer:
26 is the answer. am I right?
- 2.5(4w - 4) = -6 Check:
Answer:
Step-by-step explanation:
- 2.5(4w - 4) = -6
-2.5×4w+2.5×4=-6
-10w+10=-6
-10w=-6-10
-10w=-16
Cancel the -sign from both side soqe get
10w=16
W=16/10
W=1.6
So the value of w is 1.6
Amanda purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Amanda used her card only
once to make a long distance call. If the remaining credit on her card is $16.81, how many minutes did her call last?
minutes
Answer:
29 minutes?
i divided 3.19 by 11 (20 - 16.81 is 3.19) and i got 29 so i think it is that amount of minutes
PLEASE HELP!!! URGENT!
Let f(x)=x√ and g(x)=2x.
Use the composition of functions to determine if f(x) and g(x) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
Answer:
1st one is "square root of 2x"
2nd one is "2 square root of x"
3rd one is "is not"
Step-by-step explanation:
1st one: you have 2x for g(x) then you plug that into the x for f(x) giving you square root of 2x
2nd one: you have square root of x for f(x) then you plug that into the x for g(x) giving you 2 square root of x
3rd one: the inverse of the square root of x is x^2
The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x) and this can be determined by using the given data.
Given :
[tex]\rm f(x) = \sqrt{x}[/tex][tex]\rm g(x) = 2x[/tex]The following steps can be used in order to determine the f(g(x)) and g(f(x)):
Step 1 - First write the given functions.
[tex]\rm f(x) = \sqrt{x}[/tex]
[tex]\rm g(x) = 2x[/tex]
Step 2 - Now, the function f(g(x)) is given by replacing x with g(x) in the function f(x).
[tex]\rm f(g(x)) = \sqrt{g(x)}[/tex]
Step 3 - Substitute the value of g(x) in the above expression.
[tex]\rm f(g(x)) = \sqrt{2x}[/tex]
Step 4 - Now, the function g(f(x)) is given by replacing x with f(x) in the function g(x).
[tex]\rm g(f(x)) =2f(x)[/tex]
Step 5 - Substitute the value of f(x) in the above expression.
[tex]\rm g(f(x)) =2\sqrt{x}[/tex]
Step 6 - The inverse of f(x) can be determined by replacing x by f(x) and f(x) by x.
[tex]\rm \sqrt{f(x)} = x[/tex]
[tex]\rm x^2 = f(x)[/tex]
Step 7 - Now, the inverse of g(x) is given by:
[tex]\rm 2g(x) = x[/tex]
[tex]\rm g(x) = \dfrac{x}{2}[/tex]
The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x).
For more information, refer to the link given below:
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lynn had 14 grapes. she ate 8 of them. she wants to eat 6 more grapes. will lynn have enough grapes? Explain.
Yes she will be left with 0 grapes
Step-by-step explanation:
14-8=6 6-6=0
What is the answer to
2 3/4 divided by 3
Answer: 8/9 or .8
Advice for the future, use math w a y next time for stuff like this.
Andy went on a hike and finished at 1:30 P.M. He hiked for 1 hour and 5 minutes. What time did he start?
Answer:
12:25
Step-by-step explanation:
Answer:
12:25 p.m
Step-by-step explanation:
1:30 - 1 hour = 12:30
12:30 - 5 minutes = 12:25
I hope this helped, please mark Brainliest, thank you!! :)
help!! attachment below!
Answer:
4800
Step-by-step explanation:
In 10 seconds his wings will flap 800 times!
So in 60 seconds his wings will go 6 times more frequently.
10 /800 = 60/x
10 x = 800 * 60
10 x = 48000
x = 48000/10
x = 4800
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=31°, and IG = 6.3 feet. Find the length of HI to the nearest tenth of a foot.
Answer:.
Step-by-step explanation:
Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154
Richard and Teo have a combined age of 31. Richard is 4 years older than twice Teo's age. Write a system of equations. How old are Richard and Teo?
I need to write an equation for this, please help
Answer:
richard is 22 and teo is 9
Step-by-step explanation:
please answer the image below .
Answer:
7Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (1 x 1) + (1/2 x (1*4) x 3)
= 1 + 6
= 7 yd²
A right triangle, DEF, is shown below.
What is sin FDE?
Answer:
sin ∠FDE is 12/13
Step-by-step explanation:
The trigonometric ratios will be used to find the value of sin∠FDE
In the given triangle, according to angle FDE
Base = DE = 5
Hypotenuse = DF = 13
Perpendicular = EF = ?
sin ∠FDE = [tex]\frac{perpendicular}{Hypotenuse} = \frac{EF}{DF}[/tex]
We have to find the length of DF first
Pythagoras theorem will be used as the given triangle is a right angled triangle
[tex](Hypotenuse)^2 = (Base)^2+(perpendicular)^2\\(DF)^2 = (DE)^2+(EF)^2\\(13)^2 = (5)^2 + EF^2\\169 = 25+EF^2\\EF^2 = 169-25\\EF^2 = 144\\\sqrt{EF^2} = \sqrt{144}\\EF = 12[/tex]
So,
sin ∠FDE = EF/DF
sin ∠FDE = 12/13
Hence,
sin ∠FDE is 12/13
Which expressions have a value equal to or greater than 13?
A. five sixths x 13
B. 4 x 13
C. three fourths x 13
D. ten tenths x 13
please help will give brailyest
Answer:
The answers are B and D.
Step-by-step explanation:
Here's why .... 5/6 times 13 will give you Less than 13 and so will 3/4 times 13 But D is equal to 13 and B is more than 13 and the question asks for the value to be greater OR equal to.
Please solve thank you Jesus loves you
For the volume of soap in a bottle, Ryan determined the margin of error as 354.85 mL to 354.95 mL. What was the volume of soap that he measured? 354.8 mL 354.85 mL 354.9 mL 354.95 mL
Answer:
Correct answer is option C. 354.9 mLThe volume of soap that Ryan measured is 354.9 mL. Therefore, option C is the correct answer.
Given that, for the volume of soap in a bottle, Ryan determined the margin of error as 354.85 mL to 354.95 mL.
We need to find the volume of soap that he measured.
What is the margin of error?A margin of error tells you how many percentages points your results will differ from the real population value.
Now, the margin of error is 354.85 - 354.95
The volume=354.9 mL (Mid value of 354.85 - 354.95 )
The volume of soap that Ryan measured is 354.9 mL. Therefore, option C is the correct answer.
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Find the mean of 3, 11, 6, 13, 14
Answer:
9.4
Step-by-step explanation:
To find the mean, add the values up and then divide them by the number of values there are:
3 + 11 + 6 + 13 + 14 = 47
47/5 = 9.4
The mean is 9.4
Hope this helps :)
What is the solution to 4(2+3) - (6+1) + 2?
Answer:
the answer is 15. brainliest if correct..
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
A cookie company sells a box of cookies that weighs 24 ounces. The company states that the acceptable percent error in filling the boxes is 1.5%. What is the difference between the maximum possible weight of a box and minimum possible weight of a box?
Answer:
The answer is CH8
Step-by-step explanation:
The difference of maximum possible weight and minimum possible weight will be 0.72 ounces
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Weight of box of cookies = 24 ounces
Acceptable percentage error = 1.5 %
Maximum possible weight =
Weight of box of cookies + Acceptable percentage error
Minimum possible weight =
Weight of box of cookies - Acceptable percentage error
Maximum possible weight = 24 + ( 1.5/100 ) x 24
= 24 + 0.36
= 24.36 ounces
Minimum possible weight = 24 - ( 1.5/100 ) x 24
= 24 - 0.36
= 23.64 ounces
Therefore , difference of Maximum possible weight and Minimum possible weight will be
= 24.36 - 23.64
= 0.72 ounces
Hence , the difference of maximum possible weight and minimum possible weight will be 0.72 ounces
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Construct a linear regression model that uses Units to predict Prod Cost. Round the model's coefficients to three decimal places; add trailing zeros as needed.
The regression model is ŷ = +
46.75 92.64
42.18 88.81
41.86 86.44
43.29 88.8
42.17 86.38
41.78 89.87
41.47 88.53
42.21 91.11
41.03 81.22
39.84 83.72
39.15 84.54
39.2 85.66
39.52 85.87
38.05 85.23
39.16 87.75
38.59 92.62
36.54 91.56
37.03 84.12
36.6 81.22
37.58 83.35
36.48 82.29
38.25 80.92
37.26 76.92
38.59 78.35
40.89 74.57
37.66 71.6
38.79 65.64
38.78 62.09
36.7 61.66
35.1 77.14
33.75 75.47
34.29 70.37
32.26 66.71
30.97 64.37
28.2 56.09
24.58 50.25
20.25 43.65
17.09 38.01
14.35 31.4
13.11 29.45
9.5 29.02
9.74 19.05
9.34 20.36
7.51 17.68
8.35 19.23
6.25 14.92
5.45 11.44
3.79 12.69
Answer:
ummmmmmmmmm what kind of math are u doing
Step-by-step explanation:
Each marble bag sold by Mary's Marble Company contains 5 blue marbles for every 4 purple
marbles. If a bag has 35 blue marbles, how many purple marbles does it contain?
Answer:
The total no. of purple marbles will be:
[tex] \boxed{ \underline{ \rm{28}}}[/tex]
Step-by-step explanation:
It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.
First, Let's divide these 35 blue marbles in groups of 5. We will get:
➝ 35 ÷ 5 = 7 groups
For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:
➝ 4 × 7 = 28 purple marbles.
And we are done! :D