Answer:
It changes negative numbers to positive.
Step-by-step explanation:
Absolute value is the measure of a numbers distance from 0. You can't have negative distance, so absolute value of negative numbers is positive and absolute value of positive numbers is always positive. The absolute values of 5 and -5 are both 5 because they are both 5 units away from 0 on a number line, just in opposite directions.
Final answer:
The absolute value of a number measures its distance from zero, ignoring direction. For vectors, it describes the magnitude without considering direction, remaining positive even when multiplied by a negative scalar. The concept is vital in many areas of math and science, such as physics in calculating displacement and in sound when determining beat frequency.
Explanation:
The absolute value of a number or an expression essentially measures its distance from zero on a number line, without considering direction. For vectors, the concept is similar; the magnitude of the vector becomes the absolute value of cA, which indicates its size irrespective of its direction. If the scalar c is positive, the vector maintains its direction. In contrast, if c is negative, the direction is reversed. However, the magnitude, given by the absolute value, remains positive.
For instance, in physics, the concept of absolute value is important when dealing with displacements since displacement is a vector. If the total displacement is a negative value, like -2 m, its magnitude is the absolute value, which is 2 m; thereby indicating that the actual 'size' or length of displacement is 2 m. Likewise, in the context of statistics, the absolute value of a z-score (deviation from the mean) indicates how far a score is from the mean, regardless of whether it's above or below it.
In the field of sound, the concept of absolute value becomes important when calculating beat frequencies, because frequencies cannot be negative. Hence, the beat frequency is the absolute value of the difference between two frequencies, ensuring that the result is always a positive number, indicative of a real-world, physical attribute.
Given the domain value {-3,0,3} What is the range for the equation f(x)=-5x+2
Answer:
{-13, 2, 17}
Step-by-step explanation:
Put the given values where x is, and do the arithmetic.
f({-3, 0, 3}) = -5{-3, 0, 3} +2 = {15, 0, -15} +2 = {17, 2, -13}
Rearranging these range values to numerical order, they are ...
{-13, 2, 17}
_____
Your graphing calculator or spreadsheet can apply a formula to a list of numbers.
What are the range and mean for this set of data? 2, 2, 3, 4, 5, 5, 6, 8, 10, 15
Answer:
range: 13, mean: 6
Step-by-step explanation:
You get range by subtracting the largest number (15) by the smallest number (2). 15-2 equals 13.
You get mean by adding up all of the numbers (2+2+3+4+5+5+6+8+10+15=60) and dividing the sum by the amount of numbers in the list (10). 60/10 equals 6.
Find the area of a regular dodecagon with radius 3cm.
Answer:
[tex]27cm^{2}[/tex]
Step-by-step explanation:
You would use the equation, [tex]area = r^{2} sin(\frac{360}{n})/2[/tex]
r= radius, n = number of sides
For which intervals is the function negative
Select each correct answer
(1,4)
(-3,1)
(-2.5,2.5)
(4,infinity)
(-infinity, -3)
(-1.5, 4.2)
ANSWER
[tex](1,4)[/tex]
[tex](- \infty ,-3)[/tex]
EXPLANATION
The x-values for which the graph is below the x-values below the x-axis is the interval on which the graph is negative.
We can see from the graph that, for
[tex]x < - 3[/tex]
the function is negative.
This can be rewritten as:
[tex] (- \infty ,-3)[/tex]
Also for
[tex]1 < x < 4[/tex]
the function is again negative.
This is also written as:
[tex] (1,4)[/tex]
Answer:
(1,4)
(-infinity, -3)
Step-by-step explanation:
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than mr024-1.jpg? Check all that apply.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble
Answer:
bnm,
Step-by-step explanation:
The standard form of the equation of a circle is (x−4)2+(y−2)2=9. What is the general form of the equation?
x2+y2+8x+4y−29=0
x2+y2−8x−4y−29=0
x2+y2−8x−4y+11=0
x2+y2+8x+4y+11=0
Answer:
[tex]x^{2}+y^{2}-8x-4y+11=0[/tex]
Step-by-step explanation:
we have
[tex](x-4)^{2}+(y-2)^{2}=9[/tex]
The general equation of the circle is equal to
[tex]x^{2}+y^{2}+Ax+By+C=0[/tex]
Convert the standard form to a general form
[tex](x-4)^{2}+(y-2)^{2}=9\\ \\(x^{2} -8x+16)+(y^{2}-4y+4)=9\\ \\x^{2}+y^{2}-8x-4y+20-9=0\\ \\x^{2}+y^{2}-8x-4y+11=0[/tex]
Pleaseeeeeee help me!!!!!!!
Answer:
Step-by-step explanation:< at center is twice angle at circumfrence. where the dot is. drawing an angle of 108 degrees.
108/2=54
y and w=54.
to get z
40 +108 +2A=360(<at a point)
148+2a=360
2a=360-148
a=360-148/2=106
106 +w+z=180 <on a straight line
106+54+z=108
160+z=180
z=180-160
=20
Answer:
z = 20°
Step-by-step explanation:
The angle z formed by 2 chords is equal to half the intercepted arc, that is
z = 0.5 × 40° = 20°
What are the important variables in the problem below? A test is worth 60 points. Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points. If the test has 15 questions, how many multiple-choice questions are there? O A. tfor test, q for questions O B. p for points, m for multiple choice O C.m for multiple choice, s for short answer O D. s for short answer, t for test
Answer: C
Step-by-step explanation: This is the most common answer choice [majority of the time] because of the face that they carry so much weight, and because whenever you are in doubt, you have nothing to do but guess.
HELP PLEASE 25 POINTS!!
Describe how the figures are alike.
Describe how the figures are different.
Answer:
They all have diffirent sides and
Answer:
They are all 3D, but they are different shapes. Some of the shapes have more faces than other and some have a different base thans others too.
Step-by-step explanation:
Hope it helps!!
Please help me out please
Answer:
338 in
Step-by-step explanation:
Tangents drawn to a circle from a common point outside the circle are equal in length.
The 2 lower tangents are both 98 in
The upper left tangents are 22 and 22 and 27 and 27
The upper right tangents are 22 and 22
Calculate the perimeter from the left side clockwise
perimeter = 98 + 22 + 22 + 27 + 27 + 22 + 22 + 98 = 338 in
Use the probability distribution table to answer the question.
What is P(X ≥ 2)?
Enter your answer, as a decimal, in the box.
Answer:
0.88
Step-by-step explanation:
P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)
P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05
P(x≥2) = 0.88
Or, you can calculate it as:
P(x≥2) = 1 - P(x=1) - P(x=0)
P(x≥2) = 1 - 0.09 - 0.03
P(x≥2) = 0.88
What is the perimeter, in square centimeters, of a rectangle that has a length of 4 centimeters and a width of 15 millimeters? 38 cm 19 cm 5.5 cm 11 cm
Answer:
11 cm
Step-by-step explanation:
The rectangle width is 15 mm, which is the same as 1.5 cm.
The formula for P is P = 2W + 2L.
Here, with W = 1.5 cm and L = 4 cm, P = 2(1.5 cm) + 2(4 cm) = 11 cm
Answer:
11
Step-by-step explanation:
15 millimeters is 1.5 cm
1.5 + 1.5 + 4 + 4 = 11 cm
Please help me out!!!!!!!!!
Answer:
Step-by-step explanation:
The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so
A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,
54.45 = 11(h) and
h = 4.95 in.
In a plane if two line are perpendicular to the same line then they ___ to each other.
skew
parallel
collinear
perpendicular
It’s either skew parallel
Answer:
parallel
Step-by-step explanation:
Two lines perpendicular to the same line must be parallel to each other.
Which transformation is a rigid transformation? Image for option 1 Image for option 2 Image for option 3
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Just did it
Help please I have no clue how to do this please show work thanks
Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.
1.
16x - 4x = -48
First, combine the like terms 16x and -4x.
12x = -48
Now divide both sides by 12.
x = -4
2.
7m - 5 - 13m = 25
First, combine the like terms 7m and -13m.
-6m - 5 = 25
Now add 5 to both sides.
-6m = 30
Divide both sides by -6.
m = -5
3.
12.25 = 0.5q + 3.75
Subtract 3.75 from both sides.
8.5 = 0.5q
Multiply both sides by 2.
17 = q
q = 17
4.
2(2x - 4) + x = 7
Distribute the 2.
4x - 8 + x = 7
Combine 4x and x.
5x - 8 = 7
Add 8 to both sides.
5x = 15
Divide both sides by 5.
x = 3
5.
8 = 3(3x + 8) - x
Distribute the 3.
8 = 9x + 24 - x
Combine 9x and -x.
8 = 8x + 24
Subtract 24 from both sides.
-16 = 8x
Divide both sides by 8.
-2 = x
x = -2
Please help me with this
Answer:
301.6 ft³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = [tex]\frac{1}{3}[/tex] × area of base × perpendicular height (h)
h can be calculated by using Pythagoras' identity in the right triangle
with hypotenuse = 10 and legs 6 and h, thus
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h = [tex]\sqrt{64}[/tex] = 8
Hence
V = [tex]\frac{1}{3}[/tex] × π × 6² × 8
= [tex]\frac{1}{3}[/tex] × 288π = [tex]\frac{288\pi }{3}[/tex] ≈ 301.6
Eight trials are simulated. The results are shown in the table.
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
The answer will be 3.33
Hope this Help:)
Answer:
6.22
Step-by-step explanation:
First find the mean:
μ = (105+104+110+112+114+108+108+109) / 8
μ = 108.75
The standard deviation is then:
σ² = [(105-108.75)²+(104-108.75)²+(110-108.75)²+(112-108.75)²+(114-108.75)²+(108-108.75)²+(108-108.75)²+(109-108.75)²] / 8
σ² = 77.5 / 8
σ = 3.11
Margin of error is ±2σ, so ME = ±6.22.
Write an equation of the line that is parallel to y = 1 2 x + 3 and passes through the point (10, -5).
Answer:
y=1/2x-10
Step-by-step explanation:
y-y1=m(x-x1)
y+5=1/2(x-10)
y=1/2x-10
How many solutions does this equation have? 3x^2 - 6x + 4 = 0?
Answer:
x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i
x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i
Step-by-step explanation:
Two imaginary solutions :
x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i
or:
x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i
Two solutions were found :
x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i
x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i
The president of a company that packages almonds releases a report to the media. The report shows that people who eat a handful of almonds each day have 10% fewer cavities.
Which statement describes the most likely reason the president releases the report?
A. The president wants people to understand the importance of taking care of their teeth.
B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
C. The president wants people to know that it is possible to reduce the number of cavities they may get in the future.
D. The president wants people to believe that they should not eat more than a handful of almonds each day.
Answer:
B
Step-by-step explanation:
The president's company makes money from almonds, so he wants people to believe that almonds are good for one's teeth so that they buy more almonds.
Answer:
B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
Step-by-step explanation:
The report shows that people who eat a handful of almonds each day have 10% fewer cavities.
The most likely reason the president releases such report is - B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
The report is a way to emphasize that consuming almonds will help in reducing cavities. This is a great marketing skill by the President as making people believe the effects of almonds, will help in more sales of almonds.
Four times Joe’s age plus 2 times Tim’s ageequals 50. Tim’s age is also 2 less than Joe’s age.How old is Joe?
Answer:
Joe is 9 years old
Step-by-step explanation:
We can start by creating two different equations, one for each fact that we know about their ages.
Say that J is Joe's age
Say that T is Tim's age
Our first equation would then be:
4J + 2T = 50
J - 2 = T
Now that we know that T is J - 2, we can plug that in to the first equation.
4J + 2(J - 2) = 50
We can simplify this equation to solve for J
4J + 2J - 4 = 50
6J = 54
J = 9
Joe is 9 years old
Person is 75 feet from a hot air balloon.
The balloon goes straight up in the air.
The angle of elevation is 45°.
How high is the balloon?
Answer:
75 feet
Step-by-step explanation:
This is a right triangle because the balloon went straight up. The other angle being 45 means it is an isosceles right triangle. This means the legs are the same length. Since the person is 75 feet away, the balloon is 75 feet up.
The results of a poll show that the percent of people who want a new restaurant is in the interval (24%, 38%) . There are 112,483 people in the city.
What is the interval for the number of people who are likely to want this restaurant in their city?
Round to the nearest person.
Answer:
(26996, 42744)
Step-by-step explanation:
24% of 112,483 = 26,996
38% of 112,483 = 42,744
So the interval is (26996, 42744).
The interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%). This is obtained by calculating the number of people corresponding to the percentages.
What is the required interval for the number of people?Given that, the percent of people who want a new restaurant is in the interval (24%, 38%) and there are 112,483 people in the city.
Thus, 24% of 112,483 = (24/100) × 112,483
=26,996
Similarly, 38% of 112,483 = (38/100) × 112,483
=42,744
The required interval for the number of people is (26996,42744).
Hence the interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%).
Learn more about percentages here:
brainly.com/question/6789852
#SPJ2
A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the area of the new rectangle?
ANSWER
[tex]882 \: {in}^{2} [/tex]
EXPLANATION
The area of the original rectangle is 72 in².
If the length and the width of the rectangle are changed by a scale factor of 3.5.
Then the area will change by
[tex]{3.5}^{2} = 12.25[/tex]
To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.
This implies that,the area of the new rectangle is
[tex]3.5 \times 72 = 882 \: {in}^{2} [/tex]
Therefore the area of the new rectangle is 882 square inches.
Find the surface area of the inside of the white study station below
Answer:
the selected answer choice is correct
Step-by-step explanation:
If flattened, it would be a rectangle 1 1/2 feet high by (1 1/2 + 2 + 1 1/2) = 5 ft long. The area of that is ...
(1.5 ft)(5 ft) = 7.5 ft^2
What is the interquartile range of the data?
I think the answer is B.
Answer:
No, correct option is (A) 117.5
Step-by-step explanation:
Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.
IQR = Q₃ - Q₁
For finding the Interquartile Range of the data:
100, 120, 130, 188, 196, 220, 265, 300
Divide the data into two parts:(100, 120, 130, 188) (196, 220, 265, 300)
2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.
So, Q₁ = 125 and Q₃ = 242.5
Now, using IQR = Q₃ - Q₁
= 242.5 - 125 = 117.5
Hence, Correct option is Option (A).
A new car is purchased for 24800 dollars. The value for f the car depreciates at 12% per year. What will the value of the car be to the nearest cent after 13 years
Answer:
$4706.81
Step-by-step explanation:
The value each year is multiplied by 100% -12% = 88% = 0.88. After 13 years, the value is 0.88^13 ≈ 0.1897906 times what it was originally: ≈ 4,706.81 dollars.
Answer:
4706.81
Step-by-step explanation:
A three-dimensional figure with one circular or elliptical base and a curved surface that joins the base to the vertex is called _____
Answer:
a cone
Step-by-step explanation:
If the base is circular, then the cone is said to be a "regular" or "circular" cone, much like an ice cream cone.
If the base is elliptical, then it becomes an "elliptical" cone.
Both shapes can be right (where the perpendicular line dropping from the vertex lands on the exact center of the base) or oblique (when the line dropping from the vertex doesn't land on the center of the base)
The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution
Answer:
the negative solution. It is n = -2
Step-by-step explanation:
Let n represent the number. Then n² - 16 = 6n, and, after rearrangement,
n² - 6n - 16 = 0. This factors as follows:
n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.
We are to find the negative solution. It is n = -2.