Who wants to help with a math discussion?
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
The distance between two points is the number of units between them.
Halfway points (a) and (b)
To locate a point halfway points (a) and (b), we use the following steps
Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be
[tex]P = a + \frac{|a - b|}{2}[/tex]
Take for instance, a = 5, and b = 10.
The halfway point would be:
[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]
[tex]P = 5 + \frac{5}{2}[/tex]
[tex]P = 5 + 2.5[/tex]
[tex]P = 7.5[/tex]
The halfway point between 5 and 10 is 7.5
The formula works for negative values, and absolute values are used to return the actual difference between both points
Real world circumstance
The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
Read more about distance at:
https://brainly.com/question/9935574
If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2
Answer:
It is a fraction -5/9
Step-by-step explanation:
I’ll give you a lot of points for this
Answer:
2. (3,4)
Step-by-step explanation:
three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds
Answer:
3 * 1.25 = 3.75
Step-by-step explanation:
3.75 also equals 3 3/4
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standing on the second to past rung of the ladder, Andrew can reach 5 feet above the point where the ladder rests against the wall. How high up the wall can Andrew paint
Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.
The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is
[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]
where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get
[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]
Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is
[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]
Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092
2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow
Answer:
It will rain 48 inches in 12 hours.
Step-by-step explanation:
If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48
PLZ mark brainliest if I helped
3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.
Answer:
False
Step-by-step explanation:
Hope this helped
Solve the formula for the specified variable.
V=AQT for A
Answer:
[tex]A = \frac{V}{QT}[/tex]
Step-by-step explanation:
To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:
[tex]AQT = V[/tex]
[tex]AQT = \frac{V}{1}[/tex]
[tex]AQ = \frac{V}{T}[/tex]
[tex]A = \frac{V}{QT}[/tex]
angle A coincides with angle E
Answer:
Nah fam its the other way round.... bru h whats ur question
Step-by-step explanation:
Answer:
It coincides by both being congruent
Step-by-step explanation:
What is the distance between the points (-4, 6) and (1, -6)?
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.
[tex]-6-6=-12[/tex]
Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.
[tex]1--4=5[/tex]
Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:
[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]
The distance between these 2 points is 13.
The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviation of .009 inch. The nails that are either shorter than 2.98 inches or longer are than 3.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In 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.In this problem:
The mean is of 3 inches, hence [tex]\mu = 3[/tex].The standard deviation is of 0.009 inches, hence [tex]\sigma = 0.009[/tex].Nails that are more than 0.02 inches from the mean are unusable, hence:
[tex]Z = \frac{0.02}{\sigma}[/tex]
[tex]Z = \frac{0.02}{0.009}[/tex]
[tex]Z = 2.22[/tex]
The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at https://brainly.com/question/24663213
I giv Brainliest
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
The best answer is option C.
Step-by-step explanation:
Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...
One whale sang to communicate with another whale. The song's sound wave traveled 2,100meters at a steady speed in 1.4seconds. What was the sound wave's speed?
Answer:
1500 meters / second
Step-by-step explanation:
Speed = the magnitude of distance / time
Distance = 2,100 meters
Time = 1.4 seconds
Speed = 2,100 meters / 1.4 seconds = 1500 meters / second
HELP ME PLEASE..!!!!!! Thank youuuuuu…
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
will give brainliest to correct answer !
lmk if you're looking for point slope form but it's y = 2/5x - 3
What is the domain of the function y = In (-2+3/2)?
Answer:
Domain is undefined
3-⁵ * 10-⁵ * 125 ÷ 5-⁷ *6-⁵
who ever answer it I will give them a brainliest
Answer:
Below
Step-by-step explanation:
3^-5 * 10^-5 * 125 / 5^-7 * 6^-5
= (125 / 5^-7) / (3^5 *10^5 * 6^5)
= 0.0000516818 to 10 decimal places.
In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
Options are in the picture:
*Show work*
Answer:
(b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.
Answer:
The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.
Step-by-step explanation:
Find the slope of the line containing the points (3,2) and (6,9).
Answer:
7/3
Step-by-step explanation:
Jenny asked 48 classmates whether they prefer granola bars over muffins. she used a calculator to compare the number of classmates who said yes to the total number she surveyed. The calculator showed the result as 0.66666667.
PART A: Write this number as a fraction.
PART B: How many students prefer granola bars over muffins.
A) The number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]
B) 32 students prefer granola bars over muffins.
The total number of classmates = 48
The probability that a student says yes = 0.66666667
Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]
To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000
The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]
Therefore, the number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]
Number of students that prefer granola bars over muffins = 0.66666667 x 48
Number of students that prefer granola bars over muffins = 32
Therefore, 32 students prefer granola bars over muffins.
Learn more on decimal to fraction conversion here: https://brainly.com/question/23038
Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35
How I can answer this question, NO LINKS, If you answer correctly I'll give u brainliest
Answer:A and D
Step-by-step explanation:
4*5r=20r
4*15t=60t
20*r = 20r
20*3t=60t
Can someone help me out on this math problem?
1 ,3, 1
The first one is 1 the second is 3 and the last one is 1
Carpeting costs $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?
(Hint: Round it to two decimal places)
Multiply cost per yard by total yards:
7.99 x 12.4 = 99.08
Answer: $99.08
The 1,600-meter race in the Olympics is very close to 1 mile long. How many kilometers is 1,600 meters?
What is the length of AB?
Answer:
6
Step-by-step explanation:
Given that two terms of an arithmetic sequence are u5 = -3.7 and u15 = -52.3, find the value of the 19th term.
Answer:
a19 = -71.74
Step-by-step explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
The given 5th and 15th terms tell us ...
-3.7 = a1 +d(5 -1)
-52.3 = a1 +d(15 -1)
Subtracting the first of these equations from the second, we find ...
10d = -48.6
d = -4.86 . . . . . . divide by 10
The 19th term will be ...
a19 = a1 +d(19 -1)
Subtracting the 15th term from this, we find ...
a19 -a15 = 4d
a19 = 4d +a15 = 4(-4.86) +(-52.3)
a19 = -71.74
in the diagram m∠UYF= 42 1/8
What is ∠FYT?
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.
Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____.??
A. 2
B. 2 over 5
C. 5 over 2
Answer:
B. 2 Over 5
Step-by-step explanation:
The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.