An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval NotationInterval notation is a simplified way of describing a particular interval. Let’s see how it’s done.
Step 1: We write the first and last number of the interval, which are the endpoints of the interval. For example, if the interval is from 6 to 20, we write 6, 20.
Step 2: We use a round or square bracket on each side of the two numbers. We use:
A square bracket [ ], if we want to include the endpoints
A round bracket ( ), if we don’t want to include the endpoints
So in this example, we use:
[6, 20] if the interval includes 6 and 20(6, 20) if the interval excludes 6 and 20 (6, 20] if the interval excludes 6 but includes 20[6, 20) if the interval includes 6 but excludes 20 Types of IntervalsSo, we can see that some intervals include the endpoints, some partially include them, and some do not include them. Based on this, there are three types of intervals
These are:
Open intervalClosed intervalHalf-open and half-closed intervalOpen IntervalThis type of interval does not include the endpoints. For example, (5, 10) does not include endpoints 5 and 10.
Closed IntervalThis type of interval includes the endpoints. For example, [4, 9] includes the endpoints 4 and 9.
Half-Open and Half-Closed IntervalThis type of interval includes only one of the endpoints.
To learn more about interval:
https://brainly.com/question/10850002
#SPJ4
HELP DUE NOW PLEse help this is it.
Answer:
-1.7
Step-by-step explanation:
subtract 3.5 by -5.7
The lengths of two sides of a triangle are 33 units and 42 units. The third side also has an integral length. What is the least possible number of units in the perimeter of the triangle
The least possible unit of the perimeter of the triangle will be 85 units.
In order for the three sides of a triangle to fit together, any two sides' differences must be bigger than the length of the third side.
Draw some triangles on a piece of paper and try to accept that this is the case.
So, by properties of triangle = 42 - 33 = 9
The third side must be greater than 9 units.
Given that it is an integer, 10 must be the minimum possible value.
The perimeter is the sum of all sides.
So our least possible perimeter will be 42 + 33 + 10 = 85 units.
To learn more about Triangle properties, visit: https://brainly.com/question/8476788
#SPJ4
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this number?
answer choices=
A. 0.4 C. (4 x 100)
B. ( 4 x 1/10 ) D. ( 4 x 1/100) NO SCAM LINKS OR REPORT
Answer:
D.
Step-by-step explanation:
The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.
The absolute value of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its location is 4. Where on the number line is it?
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ___ units. The point (-15, ___) lies on this circle. What are the answers?
Answer:
Find Radius using distance formula.
[tex]radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\[/tex]
=[tex]\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units[/tex]
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
[tex]radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14[/tex]
point (-15, 14)
1. m - 3 < 10 2. h - 8 <5
Answer:
1. m < 13
2. h < 13
Step-by-step explanation:
m - 3 < 10
isolate the variable by adding 3 on both sides
= m < 13
h - 8 <5
Isolate the variable by adding 8 on both sides
= h < 13
what must be true for (m+p) so that the value of the expression below is negative? Explain.
-2 + (m + p)
For the expression to be negative (m + p) < 2.
What is an expression?An expression is a group of terms and mathematical symbols which can be evaluated to a given value.
How to determine what must be true for (m+p)?Since we have the expression -2 + (m + p), we need to determine the value of (m + p) for which the value of the expression is negative.
This implies that the value of the expression is less than zero.
So, we proceed as follows.
Since the expression is -2 + (m + p), for it to be negative, it must be less than zero.
So, -2 + (m + p) < 0
⇒ -2 < -(m + p)
Dividing both sides by -1, we have that
-2/-1 < -(m + p)/-1
2 > (m + p)
(m + p) < 2
So, for the expression to be negative (m + p) < 2.
Learn more about expression here:
https://brainly.com/question/28345080
#SPJ1
Each shape is 1 whole. For numbers 13a–13e, choose Yes or No to show whether the number names the parts that are shaded
In each shape there are 4 wholes hence the answer is yes.
What are fractions?A fraction is referred to as the portion of a whole in mathematics. There are two components to a fraction: a numerator and a denominator. The numerator is the number at the top, and the denominator is the number at the bottom.
13a. There are 4 wholes, hence the answer is yes.
13b. Every whole is divided into 2 parts hence the total number of equal parts is 4 *2 = 8. Hence the answer is yes.
13c. The answer is yes.
13d. No
13e. No
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ4
May somebody help me.
Answer:
d
Step-by-step explanation:
it keeps going up by 2 and 2x2 is 4 4x2 is 8 so on?
The back of a dog house Rylan is building is shown below. Find the total
area.
Answer:
C
Step-by-step explanation:
Divide it into a rectangle and a triangle
2 times 5 divided by 2 = triangle = 5
4 times 5 = rectangle = 20
20+5 = 25
Write an expression equivalent to 4-2(x+5) that has two terms
Answer:
-2x - 6.
Step-by-step explanation:
4 - 2(x + 5)
= 4 - 2x - 10
= -2x - 6
Answer:
-2x - 6
Step-by-step explanation:
What is the perimeter of 4?
The perimeter of a shape with 4 sides is equal to the sum of its sides multiplied by itself, which in this case is 4 multiplied by 4, resulting in a perimeter of 16.
Step 1: Calculate the length of each side by multiplying 4 by 4.
Step 2: Add the lengths of each side together to get the perimeter.
Step 3: The perimeter of the shape with 4 sides is equal to 16.
The perimeter of a shape is the sum of the lengths of its sides. To calculate the perimeter of a shape with 4 sides, you need to find the length of each side. To do this, you can multiply the length of one side by itself. For example, if the length of one side is 4, the length of each side would be 4 multiplied by 4, which is 16. Therefore, the perimeter of a shape with 4 sides is equal to 16. To calculate the perimeter of a different shape with an unknown number of sides, you can add up the lengths of each side to get the total perimeter. This is a useful way to measure the size of a shape and can be used to calculate the area of a shape by dividing the perimeter by the number of sides.
Learn more about perimeter here
https://brainly.com/question/6465134
#SPJ4
Tues
1.There were 32 brown ducklings at a pond. Twice as
many white ducklings arrived., 1/2 of the brown ducklings
flew away. How many ducklings are there now, at the
pond?
Answer:
80 ducks (16+64)
Step-by-step explanation:
So if there were 32 brown ducks in the pond at first, then twice the amount of brown ducks (32).
32x2=64 white ducks
So now their are 64 white ducks at the pond. We still have to add how many brown ducks their were so…
64+32=96 ducks in total
But then as the white ducks came in half of the brown ducks flew away.
32/2=16 brown ducks left in the pond.
Lastly add the remaining brown ducks with the white ducks and that is you answer!
16+64=80 total amount of ducks
Final Answer:
80 ducks
I hope this helps! I am sorry if I got it wrong!
Here are the first five terms of a sequence.
3
8 17
30
47
Find an expression, in terms of n, for the nth term of this sequence.
Help
Step-by-step explanation:
3 to 8= 5
8 to 17= 9
17 to 30= 13
30 to 47= 17
47 to 68= 21
68 to 93= 25
93 to 122= 29
122 to 155= 33
155 to 192= 37
difference is 4
solve by
[tex]2 {n}^{2} - n + 2 \\ 2 {(9)}^{2} - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155[/tex]
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
juice to orange juice in its simplest form.
Answer:
1 : 2 :3
Step-by-step explanation:
1/4 apple juice
2/5 orange juice
1/4 - 2/5
20 - 40 /20 = 20/20
= 1
answer = 1 :2 : 3
a line from the top of a building to the ground passes over a 9 m pole and reaches the ground at point 15 m from the base of the pole. if the pole is 12 m from the base of the 16.2 m building, is the pole parallel to the building?
Answer:
yes
Step-by-step explanation:
highschool algebra:
combine like terms-
Use the distributive property to simplify each expression.
-2(x - 2) + 5x
please help
Answer:
3x + 4
Step-by-step explanation:
Using the distributive property simply means that when there is a number in front of a pair of parentheses, every value inside the parentheses is multiplied by the co-efficient to expand the parentheses.
Here, the coefficient is -2, therefore we multiply both terms inside the parentheses (x and -2) by -2 to expand them:
-2(x - 2) + 5x
= (-2)(x) + (-2)(-2) + 5x
Now we simply evaluate and combine like terms to simplify:
= -2x +4 +5x
= 3x + 4
Miu will solve the system of equations below using the elimination method.
(2x - 3y = 4
x + y = 1
Which of the following describes the appropriate first steps to solve the system of equations by the elimination method?
Answer:
D.
Step-by-step explanation:
-2(x+y)=-2*1
-2x-2y=-2
2x-3y=4
-5y=2
y=-2/5
please i really need help! anything will help at the moment
Answer:
-2 i think hope this helps
Step-by-step explanation:
See image for question. Please show workings.
Answer:
You have to subtract the highest mark with the lowest mark
ex.
53 - 45 = 8
therefore the lowest possible mean mark is 8%
hope this helped
Step-by-step explanation:
Answer:
56Step-by-step explanation:
Total number of marks:
8 * 53 = 424Two students got less than 45. Let's assume 44 as maximum mark.
Then the mean of the 6 students is:
(424 - 88)/6 = 56Translate each sentence into an equation!!!
1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.
Answers:
1. 6x + 7 = 17
2. 5x - 4 = 11
3. 6(x - 2) = 24
4. 6x - 3 = 2x + 5
5. (-3x) + 2 = 11
Step-by-step explanation:
Since your only translating the sentence and not actually solving, we don't need to determine a specific number. So in that case, whenever the question says "a number," use a variable such as x.
1. Seven more would mean +7, so your adding 7 to x. X is multiplied by 6, so your answer is 6x + 7 = 17.
2. X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11
3. X-2 is being multiplied by 6, so indicate that in parenthesis. You should then get 6(x - 2) = 24
4. This one is a little different, since it doesn't equal a direct number. X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5. Put it all together and you get 6x - 3 = 2x + 5
5. The word product means multiplication so you know that -3 is being multiplied with X. Again, indicate this in parenthesis. You should get (-3x) + 2 = 11
I hope this helps you! Have a good day/night! :)
help me out here plz, can u solve this problem and ill give u 10 points.
Answer: the first one, 2^3x 3^2, correct me if i am wrong
Step-by-step explanation:
Answer:
2^3*3^2
Step-by-step explanation:
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
2x-6y= -12 x intercept as a ordered pair and y intercept as ordered pair
CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS
To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.
How high is the ball after one second?The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.
How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.
Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.
To learn more about vertical motion model refer to:
https://brainly.com/question/28446508
#SPJ1
Which scenario can be best represented by the equation y = 139x + 200?
Since you didn't offer potential answer choices, here's a sample answer which would work for this scenario. Using this, you can compare it to the choices that you have to make a decision.
Sample Answer:
Bob opened savings account with $200. Every week since, he has added $139 into it.
The tip of a minute-hand travels 103. 62mm in one hour. Find the length of the minute
hand
Using the concept of circumference of a circle, the length of the minute hand is 16.5mm.
What is circumference of a circle?
The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference . The radius of the circle is considered when applying the formula to determine the circumference of the circle.
Circumference of circle(C) = 2πR
where,
R represents the radius of the circle
π is a constant with an approximate value of 3.14
Now, it is given that the tip of a minute-hand travels 103. 62mm in one hour which means that the minute hand moves 360 degrees.
This means that C= 103.62
So, using the concept of circumference of a circle,
C= 2πR
103.62= 2*3.14*R
So, R= 103.62/6.28
R=16.5mm
Hence, the length of the minute hand is 16.5mm.
Learn more about circumference of a circle from the given link
https://brainly.com/question/18571680
#SPJ4
x-3/-7 ≤ 8
Solve the inequality.
Answer:
x is less than or equal to 59/7
Step-by-step explanation:
PLEASE HELP I DON'T GET IT, MATH
Answer:
can any of u pls help me abt would u evër reach the end of the earth and y pls