Use absolute value to express the distance between −13 and 17 on the number line
Answers
Answer:
Step-by-step explanation:
Distance between two points a and b using the absolute value is given by
|b-a|.
Here we have a=-13
and b =17
so
Distance = | 17- (-13) |
Distance = |17 +13 |
Distance = | 30 |
Distance = 30 units
In absolute value, the distance is written as |30|
The given points:
[tex](x_1, x_2) = (-13, 17)[/tex]
To find:
the distance between -13 and 17The distance between the two points on a number line is calculated as;
[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]
In absolute value, the distance is written as;
Distance = |30|
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Related Questions
Question 2 Unsaved Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.
Answers
Let the dog's age be called x.
From the given statement, the following equation can be framed
Cat's age = 2*x -5
We are given to know that Cat's age is 11 years
So, we have:
11 = 2x -5
2x = 16
x = 16/2
x = 8
Dog's age = 8 years
determine the value of x
Answers
180 = 3x + 2x + x
180 = 6x
30 = x
Answer:
30°
albert makes $10/Hr. at his job this week he also recieves a small cash bonus of $40 due to a company incentive program. let X represent the number of hours albert worked
Answers
10x + 40
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is the diameter of the circle
Answers
A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?
I'd prefer you write this as
"A circle has an area of 81 pi units . what is the diameter in terms of pi?
Area of a circle = A = pi*r^2. Note that r= diameter / 2. Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units. The diameter is then 2(9 units) = 18 units.
Your second question, separated from the first, is:
"a circle has an area of 81 Pi square units what is the diameter of the circle?"
Use the following formula or formulas: d = 2*r; A = pi*r^2; A = pi*(d/2)^2. Find r first, and then find d.
Answer:
18 units
Step-by-step explanation:
[tex]\pi r^2=81\pi[/tex]
Solve for [tex]r[/tex]:
[tex]\pi r^2=81\pi \\r^2=81\\r=9[/tex]
Knowing diameter is 2*r, we can apply the formula to find diameter
[tex]d=2*r\\d=2*9\\d=18[/tex]
an equation of the horizontal line that passes through the point (-2,5)
Answers
y = 5 is the equation of the horizontal line that passes through the point (-2,5).
Mathematically, an equation is a statement that two expressions are equal. The expressions on either hand of the equals sign are termed the left-hand side and the right-hand side of the equation. The equals sign is perused as" is equal to" or" equals".
An equation comprises variables, numbers and comparison sign.
As the ordinate of the given point is 5 then y = 5 is the horizontal line that passes through (-2,5).
Thus, the equation that passes through the point (-2,5) and is the horizontal line is y = 5.
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PLEASE HELP..... I WILL GIVE BRAINLIEST!!
Answers
Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:
[tex]12+12+12=3(12)[/tex]
With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:
[tex]19+19=2(19)[/tex]
So, her total is:
[tex]3(12)+2(19)[/tex]
If you subtract 3 from the total, then the expression is:
[tex]3(12)+2(19)-3=36+38-3=71[/tex]
For the second part:
If she's paying 3 less for each shirt, then the cost of 3 shirts will become:
[tex](12-3)+(12-3)+(12-3)=3(12-3)[/tex]
In the same fashion, for the two jeans:
[tex](19-3)+(19-3)=2(19-3)[/tex]
So the expression for the total cost is:
[tex]3(12-3)+2(19-3)=36-9+38-6=59[/tex]
For number three:
The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:
If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
HELP PLEASE AND ANSWER WITH STEPS thank you so much
Answers
REASON: because 95 is greater than 75
31) h + 2c
32) the answer is 8
REASON: because the x values are 1 more than the y values
33) the answer is C
it'll make sense when you plug the x and y values in
The base of a triangular prism is an isosceles right triangle with a hypotenuse of
√50 centimeters. The height of the prism is 8 centimeters. Find the surface area of the triangular prism. Round your answer to the nearest tenth.
Answers
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
HELP PLZ; 20 POINTS
At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (a) List all the possible outcomes of the compound event. (b) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain. Answer:
Answers
(b) Possible outcomes for A or 1 are 1A 2A 3A and 1B ( 4 outcomes) therefore:
Probabilty = 4/6 = 2/3
(a) All the possible outcomes of the compound event are {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Probability is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
Given that,
At a fair, each person can spin two wheels of chance.
The first wheel has the numbers 1, 2, and 3.
The second wheel has the letters A and B.
(a) 1 can be followed by A and B, 2 can be followed by A and and B and so is 3.
Possible outcomes = {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Total possible outcomes = 6
Number of outcomes which has either 1 or A = 4
Probability = 4/6 = 2/3
Hence the required probability is 2/3.
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if f(x)=8x+6, what is f(-1)
Answers
f(x)=8x+6
f(-1)=8(-1)+6
f(-1)=-8+6
f(-1)= -2
To find f(-1), substitute x = -1 :
f(-1) = 8(-1) + 6 = -8 + 6 = -2
Answer: f(-1) = -2
Write an Inequality for the following situation
No more than 8 books are in your bag
Answers
if number of books is x,
then
x≤8.
It says "No more than 8 books are in your bag". Here "Not more than" a specific number would be a set of all values that are "less than or equal" to given number.
So let's consider 'n' represents the number of books in the bag and we know this number can not be a negative value i.e. n is "greater than or equal" to 0.
Also n is "less than or equal" to 8 as given in the question.
Hence, the inequality would be 0 ≤ n ≤ 8.
To estimate the percentage of all their customers that would buy a new flavor, an ice cream shop surveys the first five customers that place an order. Will this likely give an accurate estimate of this percentage? Select from the drop-down menus to correctly complete the statement:
This method is (blank) to give an accurate estimate of the percentage since it (blank) from a large enough randomly selected sample of customers.
The options for the first blank are:
A. Likely
B. Not likely
The options for the second blank are:
A. Used data
B. Did not use data
PLZ HELP!!!!!
Answers
2 blank) Not used data.
Good luck!
- Jazz
2nd blank : Did not use data.
Hope I'm correct :)
Give me 5 stars if so!
Lisa has 1 set of 12 cars and she gives her sister 3cars. What fraction of Lisa's set did she give her sister
Answers
3/12=1/4
Hope this helps!!
If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.
a. -1 b.0 c. 1 d. sec theta
Answers
Check the attachment.
Hope it helps you :)
Answer:
Option A. [tex]cot\theta = -1[/tex]
Step-by-step explanation:
[tex]\frac{tan^{3}\theta -1}{tan\theta -1}-sec^{2}\theta +1=0[/tex]
we have to the value of [tex]cot\theta[/tex]
We further solve the equation
[tex]\frac{(tan\theta -1)(tan^{2}\theta +1+tan\theta )}{(tan\theta -1)}-sec^{2}\theta+1=0[/tex] [a³- b³= (a-b)(a² + b²+ ab)]
[tex]sec^{2}\theta +tan\theta -sec^{2}\theta +1=tan\theta +1=0[/tex]
[tex]\frac{1}{cot\theta }=-1[/tex]
[tex]cot\theta = -1[/tex]
Therefore Option A. [tex]cot\theta = -1[/tex] is the answer.
Help as soon as possible!!!!
Answers
3 = 24 is the right answer
4 = 27 is the right answer
Marie draws a marble out of a bag. It is either red or green. She records the color and then puts the marble back in the bag.
She repeats this process 80 times to get the following results:
Red:30
Green : 50
Because Marie knows that there are 5 marbles in the bag she knows that the probability of choosing a red marble must be either 1/5,2/5,3/5,4/5, or 5/5. Based on her data which of these models is most probable?
*THIS QUESTION IS WORTH 30 POINTS*
Answers
Answer:
2/5 thx for the points
Step-by-step explanation:
a number cube is rolled 24 times.how many times will a number be less than tree be expected to be rolled?
Answers
it should be 4 out of 24 times
The number of the times cube is rolled for getting less than three is 8.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability of getting less than three = 2 / 6 = 1 / 3
The number of the times cube rolled is,
Pn = ( 1 / 3 ) x 24 = 8
Therefore, the number of the times cube is rolled for getting less than three is 8.
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Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?
Answers
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Answer:
D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Step-by-step explanation:
Got in right on Edge
the slope of the containing the point (-2,3) and (-3,1) is
Answers
(x1,y1) = (-2,3) and (x2,y2) = (-3,1)
Which further breaks down into these four pieces of info:
x1=-2
y1=3
x2=-3
y2=1
Plug those four values into the slope formula
m = (y2 - y1)/(x2 - x1)
m = (1 - 3)/(-3 - (-2))
m = (1 - 3)/(-3 + 2)
m = (-2)/(-1)
m = 2
------------------------------------------------------
Answer: 2
[tex] \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}} [/tex]
You can put your points in and get the equation:
[tex] \frac{ 1 -3}{-3+2} [/tex]
[tex] \frac{-2}{-1} [/tex]
Or just 2 as the slope
Given: a = 640, A = 70°, B = 52° in triangle ABC ; find b. Round answers to the nearest whole number
Answers
Answer: 537
Step-by-step explanation:
Given: a = 640 A =70° B =52°
Whenever two angles and one side of a triangle is given, we can always use the sine formular to find the other side
Using the sine formula;
sin A / a = sin B /b
sin70° / 640 = sin 52° / b
cross multiply
bsin70° = 640sin52°
To get b, we divide bothside by
sin 70°
b = 640sin52° / sin 70°
b = 504. 327 / sin70°
b = 536. 693
b = 537 to the nearest whole number
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1 A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5 9 degree Celsius.
11 A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
111 A temperature increase of 5 9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only
Answers
y=mx+b
where in this case
C=
59(F−32)or
C=
59F−59(32)You can see the slope of the graph is
59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.C=
59(F)C=
59(1)=59Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
95 degrees Fahrenheit.C=
59(F)1=
59(F)(F)=
95Since
95 = 1.8, statement II is true.The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:C=
59(F)C=
59(59)C=
2581(whichis≠1)An increase of
59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.The final answer is D.
the mean temperature during the winter in the arctic tundra is -34°c. you can convert degrees celsius to degrees fahrenheit by using the formula f=9/5c+32. what is the mean temperature in degrees fahrenheit?
Answers
find the nonpermissible replacement for a in this expression 7/6a
Answers
zero (0)
The explanation is shown below:
1. You have the following expression given in the problem above:
7/6a
2. By definition, the nonpermissible replacement for a is the value that make the denominator equal to zero.
3. Keeping this on mind, you have:
7/6a=7/6(0)=7/0
Therefore, as you can see, the answer is: zero (a=0).
A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft
Answers
[tex]V = \pi r^{2} h[/tex]
V = volume
r = radius
h = height
factorise 36n(squared) divide by 25 minus 1
Answers
Answer:
[tex]( \frac{36n^{2} }{25} - 1) [/tex] factors to become [tex]( \frac{6}{5}n - 1)( \frac{6}{5}n + 1) [/tex]
Explanation:
The binomial [tex]( \frac{36n^{2} }{25} - 1) [/tex] is what is called a difference of two squares which can be identified by the equation being in the form (a² - b²) where both terms can be square-rooted.
Because the equation is a difference of two squares, its factors will be in the form: (a - b)(a + b).
With a² = [tex]\frac{36n^2}{25}[/tex] and b² = 1, we can find the square root of both and plug them into the above factor form.
√(36n² / 25) = 6n/5
√1 = 1
So the factors are [tex](\frac{6}{5}n -1)(\frac{6}{5}n +1)[/tex]
PLEASE HELP! @) POINTS
Describe the relationship between the probability of an event and its complement. If the probability of an event is 0.3, what is the probability of its complement?
Answers
= 0.7
Ratio is 0.3 to 0.7 or 3 to 7
1. The probability P of an event and its complement P' are mutually exclusive and add up to 1
2. If the probability of an event is 0.3, then the probability of its complement is 0.7. (1 - 0.3 = 0.7)
Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.
Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.
Answers
Jake has a teepee that is cone shaped it has a height of 9 feet and a diameter of 8 feet find the volume of the teepee in terms of Pi.
Answers
V = π(r^2)h/3
Since this problem gives you the diameter and not the radius, I would take half of the diameter because a radius is half of a diameter.
The half of 8 is 4, so the radius is 4
V = π(4^2)(9/3)
V = π(4^2)(3)
V = π(16)(3)
V is about 150.8
Hector has a $5 off coupon at Brenda's Bagels. Bagels cost $8.99 per dozen. Write an equation that models the total amount of money (y) Hector owes if he buys (x) dozen bagels.
Answers
the sum of four times a number and 17 is 33. Find the number, please? I really need help!!
Answers
(4 x n) + 17 = 33
First, find out what 33 - 17 is. (it's 16)
4 times 4 is 16
(4 x 4) + 17 = 33
16 + 17 = 33