Answer:
The center of the circle is point (8 , 6)
Step-by-step explanation:
* At first lets revise how to find the mid-point between two points
- If (x1 , y1) and (x2 , y2) are the end point of a segment
- If (x , y) is the mid-point of this segment
- To find x add x1 and x2, then divide the answer by 2
∴ x = (x1 + x2)/2
- Similar to find y add y1 and y2, then divide the answer by 2
∴ y = (y1 + y2)/2
∴ The mid-point (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]
* Now lets solve the problem
- The center of the circle is the mid-point of the diameter
- Consider the center of the circle is (x , y)
- (x , y) is the mid-point of the diameter of the circle with endpoints
(4 , 9) and (12 , 3)
- Let (4 , 9) is (x1 , y1) and (12 , 3) is (x2 , y2)
∵ x1 = 4
∵ x2 = 12
∵ x = (x1 + x2)/2
∴ x = (4 + 12)/2 = 16/2 = 8
* Similar
∵ y1 = 9
∵ y2 = 3
∵ y = (y1 + y2)/2
∴ y = (9 + 3)/2 = 12/2 = 6
∴ (x , y) = (8 , 6)
* The center of the circle is point (8 , 6)
Answer:
The center is (8,6) and radius is 5 units of the wheel
Step-by-step explanation:
On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3)
End point of diameter is (4 9) and (12,3)
As we know mid point of diameter is center of circle.
Mid point formula:
[tex](x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Mid point of (4 9) and (12,3)
[tex]Centre: (\dfrac{4+12}{2},\dfrac{9+3}{2}[/tex]
Center: (8,6)
Radius is distance between center and any one end point of diameter.
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]R=\sqrt{(8-4)^2+(6-9)^2[/tex]
[tex]R=\sqrt{16+9}=\sqrt{25}[/tex]
Radius = 5
Hence, The center is (8,6) and radius is 5 units of the wheel
The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles?
Answer:
The total area of the two rectangles is [tex](5x^{2} +7x)\ units^{2}[/tex]
Step-by-step explanation:
Area of rectangle 1
[tex](x)(3x+1)=(3x^{2} +x)\ units^{2}[/tex]
Area of rectangle 2
[tex](2x)(x+3)=(2x^{2} +6x)\ units^{2}[/tex]
therefore
The total area of the two rectangles is equal to
[tex](3x^{2} +x)\ units^{2}+(2x^{2} +6x)\ units^{2}=(5x^{2} +7x)\ units^{2}[/tex]
The correct choice is [tex]5x^{2} +7x[/tex]. By expanding and combining the terms, the total area of the two rectangles is represented by the expression found.
Let's first expand each term in the expression (x)(3x+1) + (2x)(x+3) to determine the total area of the two rectangles:
(x)(3x+1) = [tex]3x^{2} +x[/tex](2x)(x+3) = [tex]2x^{2} +6x[/tex]Now, add the two results together:
[tex]3x^{2}[/tex] + x + [tex]2x^{2}[/tex] + 6x = [tex]5x^{2} +7x[/tex]Therefore, the expression that represents the total area of the two rectangles is [tex]5x^{2} +7x\\[/tex] .
Complete question:
The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles?
[tex]6x^{2}+6x[/tex][tex]5x^{2}+7x[/tex][tex]7x^{2}[/tex][tex]6x^{2}+7x[/tex]PLEASE HELP MARKING BRAINLEST !! I DO NOT HAVE THE GRAPH BC MY COMPUTER ISNT WORKING CORRECTLY SO IF YOU CAN DO IT WITHOUT THE GRPAH PLEASE DO OR WRITE YOUR EMAIL BELOW & I WILL SEND IT TO YOU VIA THERE !
Chelsea and Zack are both dog sitters. Chelsea charges $2 per day plus a sign-up fee of $3. Zack charges a flat rate of $3 per day.
The system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.
(3 points
Write the equation to represent Chelsea’s fees. Write the equation to represent Zack’s fees. After how many days do Chelsea and Zack earn the same amount for dog sitting? What is that amount?
Answer:
it should be 9,8
Step-by-step explanation:
After 3 days Chelsea and Zack earn the same amount for dog sitting.
Equation for Chelsea: y = 3x + 2
Equation for Zack: y = 3x
After how many days they earn the same amount: After 3 days; both Chelsea and Zack earn $9.
Attachment Below Thanks
Answer:
Desmond's spinner.
Answer:
Desmond's spinner
is paid an annual salary of $26,000. Find the Pat's weekly salary
Answer:500
Step-by-step explanation:26,000/52=500 i did $26,000 divided by 52 because there are 52 weeks in a year and it gave me 500 so that is how i got the answer
There are 52 weeks in a year, so the annual salary is 52 times the week salary.
So, we have
[tex]\dfrac{26000}{52} = 500[/tex]
which means that Pat makes 500$ a week
-10x < 40
What is the solution to this inequality?
Answer:
[tex]x>-4[/tex]
Step-by-step explanation:
Solve like a normal equation by isolating the variable and then dividing by the coefficient.
[tex]-10x<40 \\ \\ x>-4[/tex]
Answer:
x > - 4, or it can be written as (- 4, ∞)
Step-by-step explanation:
- 10x < 40
-10x/10 < 40/10
- x< 4
x > -4
A recipe calls for 2/3 cup of flour for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cups of flour?
A. 1/6
B. 2 2/3
C. 4 2/3
D. 6
Please help and explain everything! Thanks!
Answer: For 1 cup of flour, there should be 6 teaspoons of vanilla.
Step-by-step explanation:
What I did is that I found what 1 ÷ 2/3 equals. To find that, I used the reciprocal so the new equation would be 1 × 3/2 which equals 3/2. So since 2/3 × 3/2 equals 1, we have to do the same to 4 teaspoons. 4 × 3/2 equals 6. Therefore, there should be 6 teaspoons of vanilla for every one cup of flour.
Hope this helps! Don't hesitate to ask for clarification.
tom left at 1:00 p.m to walk to the pool . it took him 45 to walk there what time did get to the pool ?
Answer: 1:45
Step-by-step explanation: If Tom left his house at 1:00 and it took him 45 minutes to get the pool, adding 45 minutes to 1:00 would make his arrival time 1:45. Therefore, he arrived at the pool club at 1:45. Have a great day!
How to find the mean absolute deviation of the set of data 8,7,4,6,6
The deviation of the set of data is 678
A rectangles length is 6 units greater than its width. Which type of polynomial function would be most appropriate for modeling the area of the rectangle?
Answer: A=w^2 + 6w
Step-by-step explanation: I know that this is way late but hopefully it will help someone else in the future.
In an examination, 15% candidates failed in science and 20% in Mathematics. If 10% failed in both the subjects, find percentage of those who passed in both the subjects.
To determine the percentage of students who passed both exams, we first calculate the percentage of students who failed in either subject, then subtract that from 100%. Given that 15% failed in Science, 20% in Mathematics, and that 10% failed in both, we find that 75% of students passed both courses.
Explanation:In this question, we have to find out the percentage of the candidates that passed in both subjects, Science and Mathematics. The percentages given show the failure rates in Science, Mathematics, and in both. Here, we need to use the concept of sets where we sum the individual percentages and subtract the intersection. It is defined as P(A U B) = P(A) + P(B) - P(A ∩ B).
According to the problem, 15% failed in Science and 20% in Mathematics. So, the candidates failing in any one of the subjects would be 15% + 20% = 35%. However, those who failed in both subjects (i.e., intersection part) is 10%, and double-counted when we added up the individual percentages. Therefore, we subtract this from our earlier total, giving us 35% - 10% = 25%. This implies that 25% of candidates fail in at least one subject.
As for those who pass in both, since we know that the total should be 100%, and we've figured out that 25% failed in at least one subject, thus, those who passed should be the remaining 75%.
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The percentage of those who passed in both the subjects is equal to 85%.
How to determine the percentage of those who passed in both the subjects?In order to determine the percentage of those who passed in both the subjects, we can use the principle of inclusion and exclusion;
Let the variable A represent the percentage of candidates who failed in Science, which is 15%.Let the variable B represent the percentage of candidates who failed in Mathematics, which is 20%.Let the variable C represent the percentage of candidates who failed in both Science and Mathematics, which is 10%.Let the variable P represent the percentage of candidates who passed in both Science and Mathematics.Based on the principle of inclusion and exclusion, we have:
Total percentage of candidates who failed in either Science or Mathematics = A + B - C
Percentage of candidates who passed in both subjects = 100% - (A + B - C)
Percentage of candidates who passed in both subjects = 100% - (15% + 20% - 10%)
Percentage of candidates who passed in both subjects = 100% - 15%
Percentage of candidates who passed in both subjects = 85%.
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Suppose that the consumer price index of a country is decreasing at the rate of 4.3% per year. Use the approximate half-life formula to estimate the half-life
Answer:
new value = $50 × (1 − 0.12)3 = $50 × 0.883 = $34.07.
Step-by-step explanation:
Mrs.Middleton makes a solution to clean her windows. She uses a 2:1 ratio for cups of water to cups of vinegar. If Mrs.Middleton uses a gallon of water to make the window cleaner, how much vinegar does she need?
She will need 8 cups of vinegar.
Hope this helps!
Education Is Fun has created a new board game called Math Maze. The company is trying to increase its sales. Its marketing division surveys a large group of people of various ages who have never seen Math Maze. Which question will provide statistical data that can help the company use its advertising budget in the best way to market Math Maze to those who have not seen the game?
A) What is your age?
B) What is your favorite subject?
C) How much are you willing to pay for Math Maze?
D) Are you looking for a game that makes math fun?
A)20
B)History
C)$5
D)yes
The correct answer is A) What is your age because This question is a statistical question because the survey is for people of "various ages." Finding out the ages of the greatest number of people who have not seen the game will help the company develop advertising that will reach and appeal to that group.
To place your savings into different types of savings instruments is to
Answer:
Step-by-step explanation:b the answer is diversity
Help please asap!!!!!!!
Answer:
a. -12
Step-by-step explanation:
The question is about finding 3×3 matrix determinant
The general formulae for finding determinant;
when given a matrix {a b c}
{d e f} = a.x [e f] - b. x [d f] + c .x [d e]
{g h i} [h i] [g i] [g h]
where x=determinant
Substitute values
{-1 5 1 } {a b c}
{4 -2 2} ={ d e f} = -1 x{-2 2} - 5 x {4 2} + 1 x {4 -2}
{1 2 2} {g h i} {2 2} {1 2} {1 2}
=-1 {-4-4} - 5{ 8-2} + 1{ 8--2}
=-1{-8} - 5{6} + 1{10}
= 8- 30 +10
= -12
=
Answer accurately please asap
Answer:
additive identity
Step-by-step explanation:
-11 + N = -11
Add 11 to each side
-11 + 11 + N = -11 +11
N = 0
When we add 0 to each side, we are adding the additive identity
Adding zero does not change the value
can someone please help me find the value of x and y. i need help asap
Answer:
x = 7, y = 7√3Step-by-step explanation:
(look at the picture)i
We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
According to the markings in my picture we have:
2a = 14, a = x, a√3 = y
Therefore
2a = 14 divide both sides by 2
a = 7 → x = 7
a√3 = 7√3 → y = 7√3
What are the solutions to the quadratic function.
A). y = -2
B). x= -1, 2
C). Infinitely Many Solutions
D). No Solution
B, look where the function is intersecting the x-axis.
Answer:
[tex]\boxed{\textbf{B). } x = -1, x = 2}[/tex]
Step-by-step explanation:
The solutions to the quadratic function are the points where its graph crosses the x-axis.
The graph crosses the axis at x = -1 and x = 2, so the answer is
[tex]\boxed{x = -1, x = 2}[/tex]
I NEED THEM ASAP 20 Points
WILL THANK MUCH
A class is flipping a coin to see what the probability of getting heads is. The class flips a coin 48 times and heads comes up 13 times and tails comes up 35 times. What is the experimental probability of getting heads? What is the theoretical probability of getting heads?
Answer: (i think these are right)
experimental: 27.08% theoretical: 50% ?
You run 5 miles in 1 hour. At this rate, how long will it take you to run a marathon (approximately 26 miles)?
I got 5 hours and 2 minutes and I'm not sure if I'm correct.
Answer:
5 hours 12 mins
Step-by-step explanation:
You run 5 miles in 1 hour.
5 miles = 1 hour
1 mile = 1 ÷ 5 = 0.2 hour
1 mile = 0.2 hour
26 miles = 0.2 x 26 = 5.2 hours
5.2 hours = 5 hours + (0.2 x 60) mins
5.2 hours = 5 hours 12 mins
If the speed is 5 miles per hour. Then the time taken to complete marathon of 26 miles will be 5 hours and 12 minutes.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
You run 5 miles in 1 hour.
Then the speed will be
Speed = 5/1
Speed = 5 miles per hour
Then the time taken to complete marathon of 26 miles will be
Time = Distance / Speed
Time = 26 / 5
Time = 5.2 hours
The time 5.2 hours can be written as 5 hours and 12 minutes.
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Sebastian wanted to order pizzas for $7 each. The delivery charge is $3.50. He has $20.
What number shows the correct solution for how many pizzas he could order?
Answer:
he can buy 2
Step-by-step explanation:
He can buy 2 pizzas.
What size picture will result when a 5 in. • 7 in. Picture is reduced using an 80% setting?
A 5" * 7" image reduced by 20% in scale to 80% of the original size will be 4" * 5.6". Roughly the size of a large flash card.
When a 5 inch by 7 inch picture is reduced using an 80% setting, the new dimensions will be 4 inches by 5.6 inches.
To calculate the new size of a 5 inch by 7 inch picture when reduced by 80%, we simply multiply both dimensions by the reduction percentage. Hence, the width and the height of the picture will be reduced to 80% of their original size.
Original width: 5 inches
Original height: 7 inches
Reduction setting: 80% (or 0.8)
New width: 5 inches × 0.8 = 4 inches
New height: 7 inches × 0.8 = 5.6 inches
Therefore, the new dimensions of the picture will be 4 inches by 5.6 inches after an 80% reduction.
Find the solution of this system of equations. 3x+7y=46 -3x-8y=50
The solution to the system of equations 3x + 7y = 46 and -3x - 8y = 50 is x = 239.333... and y = -96. This can be verified by plugging these values back into the original equations.
Explanation:To find the solution of this system of equations, we can use the method of adding the two equations together, as they are set up nicely for elimination:
3x + 7y = 46-3x - 8y = 50Add the two equations together:
3x + 7y - 3x - 8y = 46 + 50
0x - y = 96
y = -96
Substitute y = -96 back into one of the original equations, for example the first equation:
3x + 7(-96) = 46
3x - 672 = 46
3x = 46 + 672
3x = 718
x = 718 / 3
x = 239.333...
The solution to the system is x = 239.333... and y = -96. We can verify the solutions by substituting back into the original equations.
find the LCM of m^2 - 4m - 5 and m^2 + 8m + 7
Answer:
LCM=(m+1)(m-5)(m+7)
Step-by-step explanation:
Given expressions are [tex]m^2-4m-5[/tex] and [tex]m^2+8m+7[/tex].
To find the LCM, first we need to find factors of both expressions.
[tex]m^2-4m-5[/tex]
[tex]=m^2+1m-5m-5[/tex]
[tex]=m(m+1)-5(m+1)[/tex]
[tex]=(m+1)(m-5)[/tex]
Similarly factor other expression
[tex]m^2+8m+7[/tex]
[tex]=(m+1)(m+7)[/tex]
Common factor in both is (m+1)
bring down remaining non-common factors.
So LCM=(m+1)(m-5)(m+7)
A chef kept track of the number of apples people ate last week in his cafeteria. The results are shown here.
How many people ate fewer than 2 apples last week?
A) 3
B) 7
C) 10
D) 11
Number of people who ate fewer than two apples last week is 10.
The Correct option is (C)
What is data?Data are individual pieces of factual information recorded and used for the purpose of analysis.
It can be seen from the graph that,
0 apples eaten by 1 people
1 apples eaten by 9 people
2 apples eaten by 4 people
3 apples eaten by 5 people
4 apples eaten by 0 people
5 apples eaten by 7 people.
According to Condition,
people ate fewer than 2 apples last week= 1+9
=10
Thus, 10 people ate fewer than 2 apples last week.
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Sally has a part-time job mowing lawns. She charges $5 per hour.
If she has $242 at the end of the month how long has she spent mowing lawns In hours AND minutes?
Answer:48 hours and 24 minutes
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Answer:
81°
Step-by-step explanation:
By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.
Angle APC = 27° so the difference is 54°
Arc DC = 27°, so Arc AB = 27° + 54° or 81°.
If a dozen eggs cost $1.68, how much does one egg cost? *
Each egg will cost $0.14. Hope this helps. Please mark BRAINLIEST!:)
Each egg will cost about 14 cents
Solve the inequality-x/2 ≤ 1
Answer:
Step-by-step explanation:
Solve the inequality -x/2 ≤ 1. Let's eliminate the fraction first, by multiplying both sides by 2:
-x ≤ 2
We want to solve for +x, not for -x.
Therefore, divide both sides of this latest inequality by -1, remembering to reverse the direction of the inequality sign:
-x ≤ 2 → x ≥ -2
4/5 x (-2/9) solve this pleasee
[tex]
\frac{4}{5}\times\frac{-2}{9}=\boxed{\frac{-8}{45}}
[/tex]