Answer and Step-by-step explanation:
Differences:
Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1. Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.
Similarities:
The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements. If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.
-0.07p-0.6=5 please help!!!!
Answer:
p= -80
Step-by-step explanation:
DON'T FORGET TO INCLUDE THE NEGATIVE
1. Isolate the p
2. Bring the .6 to the other side by doing the opposite. In this case adding.
3. You now should have -0.07=5.6
4. You are going to continue to isolate the variable.
5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)
6. You are going to divide both sides by -0.07. Which would give you -80.
DON'T FORGET TO INCLUDE THE NEGATIVE
1. 8x-x
solve
I NEED HELPPP ASAP
Answer:
7xStep-by-step explanation:
[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]
Answer:
7x
Step-by-step explanation:
it is quite clear and also very easy look...
8x -1x = 7x
whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations
so easy hope you found it helpful
plz rate and mark the brainliest if you found it helpful....
Write the phrase as an expression
the quotient of 22 and a number a
Answer:
22/a
Step-by-step explanation:
The quotient of 22 and a number = 22/a
Felicity accidentally overdrew her bank account by $24.65. She then deposited a birthday check from her grandma for $25.00, paid her phone bill of $46.75, and deposited $32.80 she found in her wallet. What was the final balance of her account? Plz Answer!
Answer:
It would be -13.6
Step-by-step explanation:
I used my calculator for this,
-24.65 +25 - 46.75 + 32.80 = -13.6
good morning :) Which expression is equal to 20 minus 9 divided by 3? A.) 20 minus 3 B.) 11 divided by 3 C.) 23 minus 9 D.) 20 minus 9
Answer:
A.20_ 3=17..
option A is the answer
Answer:
A) 20 - 3
Step-by-step explanation:
20 - 9÷3
Use PEMDAS.
First Division should be done
So, 20 - 9÷3 = 20 - 3
Add. Write your answers in simplest form.
10 1/6+12 1/10
What is a Metric prefix?
Answer:
Step-by-step explanation:
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol.
This is the definition
Evaluate 2 4ac if b = 5, a = -2, and c = 0
Answer:0
Step-by-step explanation:2 4ac
2×4×-2×0=0
Can y’all help me what do I do here please I’ll give you brainliest
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0
0 + 1 = 1
2 ÷ 2 = 1
1 + 1 = 2
-8 ÷ 2 = -4
-4 + 1 = -3
100 ÷ 2 = 50
50 + 1 = 51
An object dropped from the top of a tall building falls y = 4.9t^2 meters in the first t seconds. What is the object’s average speed during the first 4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s
What is the objects instantaneous speed at t=4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s
Answer:
Average Speed
C.) 19.6 m/s
Instantaneous Speed
D.) 39.2 m/s
Step-by-step explanation:
Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:
[tex]y = 4.9t^2[/tex]
To find:
Object's average speed during the first 4 seconds ?
Instantaneous speed at t = 4 seconds
Solution:
Average speed of a moving object is given by, Total Distance covered divided by Total time taken.
[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]
[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]
Now, let us put the values in the formula:
[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]
For instantaneous speed, we need to differentiate y w.r.to t:
[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]
Now, let us put t = 4 seconds
Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s
The answers are:
Average Speed
C.) 19.6 m/s
Instantaneous Speed
D.) 39.2 m/s
5 + 2x < 2x + 6
what is x?
Answer:
x = infinite amount of solutions
Step-by-step explanation:
Step 1: Write out inequality
5 + 2x < 2x + 6
Step 2: Solve
5 < 6
Since we can see that 6 is indeed bigger than 5, it makes the inequality true. If you plug in any number x, it will still be true. Therefore, we have an infinite amount of solutions,
A passenger car weighs 4.5 times 10 Superscript 3 units. Which unit of measure was used?
Answer:
pounds
Source:
Trust me bro
Solve -17 + n over 5 = 33 please help :(
Consider the geometric sequence: 8, 4, 2, 1, \dots8,4,2,1,…8, comma, 4, comma, 2, comma, 1, comma, dots If nnn is an integer, which of these functions generate the sequence? Choose all answers that apply: Choose all answers that apply: (Choice A, Checked) A a(n)=8\left(\dfrac12\right)^na(n)=8( 2 1 ) n a, left parenthesis, n, right parenthesis, equals, 8, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq1n≥1n, is greater than or equal to, 1 (Choice B) B b(n)=32\left(\dfrac12\right)^nb(n)=32( 2 1 ) n b, left parenthesis, n, right parenthesis, equals, 32, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq2n≥2n, is greater than or equal to, 2 (Choice C) C c(n)=64\left(\dfrac12\right)^nc(n)=64( 2 1 ) n c, left parenthesis, n, right parenthesis, equals, 64, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq3n≥3n, is greater than or equal to, 3 (Choice D, Checked) D d(n)=128\left(\dfrac12\right)^nd(n)=128( 2 1 ) n d, left parenthesis, n, right parenthesis, equals, 128, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq4n≥4
Answer:
C AND D
Step-by-step explanation:
KHAN ACADEMY.
C: c(n)= 64(1/2)^n for n greater than or equal to 3
D: d(n)= 128(1/2)^n for n greater than or equal to 4
The correct series is being generated by options B and D
What is geometric series?A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.
How to find which of the given functions generate the given sequence?We know that nth term of a Geometric series can be written as [tex]ar^{n-1}[/tex] where a is the first term and r is the common ratio.The given series is 8 , 4 , 2 , 1......
Here the first term is 8 and the common ratio is 1/2Here, we should check the options one by one
The first option does not generate the series after putting values which are greater than or equal to 1So, option A is wrong.
Now, if we put n = 2, 3 ... values in second function, we can see the series being generated.So, option B is correct.
In option 3 if we put n = 3 then c(n) is coming as 8 but again on putting n = 4 , c(n) is coming 2.So the series in not getting generated here.Hence option C is wrong.
In option 4, we can see that the series is getting generated after putting the values n = 4,5.....So, option D is correct.
Find more about "Geometric Series" here: https://brainly.com/question/24643676
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A store charges $120 for a bicycle. The store is now going out of business and is
selling all of the bicycles at a 30% discount. What is the sale price of the bicycle?
Answer:
$84
Step-by-step explanation:
So, if the store is selling the bicycles at a 30% discount, that means that the bike is at 70% of it's original value. SO we can do 120*.7=84.
Can someone help me with #s 16 18 19 20 I WILL GIVE BRAINLIEST
Answers & Step-by-step explanation:
PEMDAS (Parenthesis, exponents, multiplication, division, addition, subtraction)Now let's solve your problems!
___________________________________________________16.First, we see if there are any parentheses. Since there are no parentheses, we will evaluate the exponent 3² first.
After this, our problem now looks like this:
[tex]\frac{41 - 9}{6 * 3 -26}[/tex]Next, since multiplication (not subtraction) is next on the list, we will evaluate 6 × 3, which equals 18.
After that, we will subtract:
41 - 9 = 32
18 - 26 = -8
We now have 32/-8 or 4/-1 or simply -4.
The answer is: -4___________________________________________________17.With this, one, note the parentheses. This means that we will do these operations first.
(21 - 4²) = 5
(3 + 1) = 4
The problem now looks like this:
[tex]\frac{5 * 4}{8^{2}-44}[/tex]
Next, we do the exponents:
8² = 64
After that, we do the multiplication of 5 x 4, which equals 20.
We now have 20/64 - 44, which simplifies to 20/20 or 1/1 or 1.
The answer is: 1___________________________________________________18.Again, we see parentheses, so that means we need to do these operations first.
(6² - 20) = 16
We now have:
48 ÷ 16 + 5
48/16 = 3 and 3 + 5 = 8
The answer is: 8___________________________________________________19.Here, we see an exponent 3³, so we'll need to evaluate this first.
3³ = 27
We now have:
4 × 27 ÷ 18 + 14
4 × 27 = 108
108/18 = 6
And finally:
6 + 14 = 20
The answer is: 20___________________________________________________20.Here we again see the parentheses, which means we need to evaluate the subtraction first.
3 - 8 = -5
We now have:
11 + 2 (-5)
2 × -5 = -10
11 + -10 (same as 11 - 10) = 1
The answer is: 1___________________________________________________I AM ALWAYS HAPPY TO HELP :)1) How would you solve consecutive integers? 2) What happen to the equations when you solve consecutive EVEN integers? 3) What about consecutive ODD integers?
Answer:
(a) make use of average values; (b) use a variable (n) and consecutive values: n+1, n+2, and so onEven integers differ by 2 instead of 1, so they would be represented by n, n+2, n+4, and so on.Odd integers also differ by 2, so they would have the same representation.Step-by-step explanation:
1) If the sum of consecutive integers is given, I usually solve the problem by considering the average of those integers: the sum divided by the number of integers. (See https://brainly.com/question/17307802 for an example.)
If some other relation is given then quite often a variable is assigned to one of the integers, often the smallest. If they are consecutive, then the others may be n+1, n+2, n+3 and so on.
__
2) If they are consecutive even or odd, then they differ by 2 instead of 1: n, n+2, n+4, and so on.
__
3) That difference of 2 is the same whether the integers are consecutive even or consecutive odd. The representation used does not change.
_____
Additional comment
In some instances, you need to ensure that the integers are even or odd, so you might use a representation of 2n for an even integer and 2n+1 for an odd integer. This is rarely an issue in consecutive integer problems.
Identify the factors of the terms of the expression.
3). 5+6a+11b
4). 13m-2n
Answer:
factors are 5, 6, a, 11, b
Step-by-step explanation:
3) 5 + 6a + 11b
Algebraic expressions: 5 + 6a + 11b
Are combinations of numbers, variables, and at least one arithmetic.
Term are: 5, 6a, 11b
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).
Factors are: 5, 6, a, 11, b
Something which is multiplied by something else. A factor can be a variable, number, a term, or a longer expression.
Coefficient: 6, 11
The numerical factor of a multiplication expression that contains a variable.
Constant: 5
A number that cannot change its value.
4). 13m-2n (note: it applies as above)
Find the arc length of the semicircle.
Either enter an exact answer in terms of it or use 3.14 for IT and enter your answer as a decimal.
A semicircle is a half of a circle.
Find the circumference of a full circle then divide in half.
Circumference = pi x r x 2
Circumference = 3.14 x 9 x 2 = 56.52
Semicircle = 56.52/2 = 28.26
Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
Answer: (-∞,-1) ∪ (0,+∞)
Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.
In this case, fog(x) means:
fog(x) = f(g(x))
fog(x) = [tex]3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4[/tex]
[tex]fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4[/tex]
[tex]fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4[/tex]
[tex]fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}[/tex]
[tex]fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}[/tex]
[tex]fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}[/tex]
This is the function fog(x).
The domain of a function is all the values the independent variable can assume.
For fog(x), denominator can be zero, so:
[tex]x(x^{2}+x) \neq 0[/tex]
If x = 0, the function doesn't exist.
[tex]x^{2}+x \neq0[/tex]
[tex]x(x+1) \neq0[/tex]
[tex]x+1\neq0[/tex]
[tex]x\neq-1[/tex]
Therefore, the domain of this function is: -∞ < -1 or x > 0
Which represents a function? y x y -3 -5 10 {(-8, -2), (-4,1). (0,-2), (2, 3), (4,-4)} -2 -3 5 {(-12,4),(-6, 10), (-4, 15).(-8, 18). (-12, 24) -2 -3 4 0 -1 0 0 0 0 5 -10 1 -1
The tabular data shown in the image attached does not represent a function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find which of the given tables represent a function.
For a table to represent a function, for every unique value of {x}, there should be only one possible value of {y}. This means that if for a function f(x), at {x} = 1, there exists two or more values of {y}, then it is not a function. From the image, it can be seen that the relations given in tables does not represent a function. This is because -
Table {1} -
for {x} = - 3, there exists two values of y
Table {3} -
for {x} = 0, there exists two values of y
Therefore, the tabular data shown in the image attached does not represent a function.
To solve more questions on functions, visit the link below-
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Add the polynomials (7x3−2x2−12)+(−3x3−8x2+10x)
Answer:
See below
Step-by-step explanation:
● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)
● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x
Combine like terms
● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x
● 4x^3 - 10x^3 +10x -12
Answer:
Addition:::::4x^3-10x^2+10x-12
g ( h + 3/5 ) = 11 solve for h
Answer:
h = 11/g - 3/5
Step-by-step explanation:
[tex]g ( h + \frac{3}{5} ) = 11 \\\\Divide\:both\:sides\:of\:the\:equation\:by\:g \:;\\\frac{g(h+\frac{3}{5}) }{g} = \frac{11}{g} \\\\h + \frac{3}{5} = \frac{11}{g} \\\\Move\: 3/5\: to\: the\: right\:and\:change\:its\:sign\\h = \frac{11}{g} -\frac{3}{5}[/tex]
Eric and his two sisters shared an amount of money in the ratio 2:7 respectively. If Eric had $ 300 and the remaining amount shared equally among the sisters, how much did each sister get?
Answer:each sister get will get $525
Step-by-step explanation:
1st step
Eric and his sisters shared amount x in the ratio 2:7
total ratio = 2+7 = 9
2nd step ;
Total amount of money shared since Eric received $300
(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric
2/9 x X= 300
X=(300 x 9) / 2 = $1,350
Total money = $1,350
3rd step:
two sisters will receive
(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters
7/9 x $1,350 = 9,450/9 = 1,050
share of two sisters= $1050
if they share equally , each will receive $1050/2 = $525
there is a number that if you multiple it by 5 first, and then add 6 to the result, you get 91. what’s the number?
Answer:
Step-by-step explanation:
Do 91-6 which equals 85. Then do 85/5 which equals 17
answer: 17
Answer:
17
Step-by-step explanation:
So first we write an equation
5x+6=91
subtract 6 from both sides
5x=85
divide by 5
so x=17
(plz give me brainliest)
Find the smallest number which when divided by 12,15,18&27 leaves as remainder 8,11,14,23 respectively.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{536}}}}}[/tex]
Step-by-step explanation:
Solution :
Here, 12 - 8 = 4
15 - 11 = 4
18 - 14 = 4
27 - 23 = 4
Thus, every divisor is greater than its remainder by 4. So, the required smallest number is the difference of the L.C.M of the given number and 4
Finding the L.C.M
First of find the prime factors of each numbers
12 = 2 × 2 × 3
15 = 3 × 5
18 = 3 × 3 × 3
27 = 3 × 3 × 3
Take out the common prime factors : 3 , 3 and 3
Also take out the other remaining prime factors : 2 , 2 and 5
Now, Multiply those all prime factors and obtain L.C.M
L.C.M = Common factors × Remaining factors
= 3 × 3 × 3 × 2 × 2 × 5
= 540
L.C.M of 12 , 15 , 18 and 27 = 540
So, The required smallest number = 540 - 4
= 536
Hope I helped!
Best regards!!
i would love if you could answer very soon
Which ordered pair is a solution to the system of inequalities?
S y> -2
x + y < 4
Answer:
4
Step-by-step explanation: you have t do y plus 10 and then add 4 minus -2
the sum of the arithmetic series: a1 = 9, a3 = 17, s5 =?
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
Given[tex]\blue\star[/tex]a1 = 9. eq1
[tex]\blue\star[/tex]a2 = 17. eq2
Firstly we have to find d
[tex]\blue\star[/tex]d = a2 -a1
we dont have a2 so we can do this by other method
split a3 into a+2d
Now add equation 1 and 2
[tex]\blue\star[/tex] a+a+2d = 17 +9
[tex]\blue\star[/tex] 18 + 2d = 26. [we have a = 9]
[tex]\blue\star[/tex] 2d = 8
[tex]\blue\star[/tex] d = 4
Now we have to find a5
[tex]\blue\star[/tex] a5 = a+(n-1)d
[tex]\blue\star[/tex] a5 = 9 + (5-1)4
[tex]\blue\star[/tex] a5 = 25
now we can easily find s5
[tex]\blue\star[/tex]s5 = n\2(a+l)
[tex]\blue\star[/tex] s5 =5\2(9+25)
[tex]\blue\star[/tex] s5 = 85
[tex]\huge\boxed{S5 = 85}[/tex]
Check
s5 = a1 + a2 + a3 +a4 +a5
s5 = 9 +13+17+21+25= 85
Hope it helps
The sum of the arithmetic sequence [tex]S_5=85[/tex]
Explanation :
Arithmetic series, a1 = 9, a3 = 17
We need to find out sum of 5 terms
The formula to find sum of arithmetic series is
[tex]S_n=\frac{n}{2} (2a+(n-1)d)[/tex]
where 'a' is the first term
'd' is the common difference and n is the number of terms
a1=9,, first term is 9
formula for nth term is [tex]a_n=a_1+(n-1)d[/tex]
a3=17, it means third term is 17
lets find out 'd' using third term
[tex]a_3=a_1+(3-1)d\\17=9+2d\\17-9=2d\\8=2d\\d=4[/tex]
So value of d=4
Now use sum formula to find out S5
[tex]S_n=\frac{n}{2} (2a+(n-1)d)\\n=5, d=4, a_1=9\\\\S_5=\frac{5}{2} (2(9)+(5-1)4)\\S_5=\frac{5}{2}\cdot \:34\\S_5=85[/tex]
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The total cost for buying new sneakers for the basketball team an be found by using the function y=25x + 65, is where x is the number of players. If between 9 and 16 players need new sneakers. Find the domain and range of this situation
Answer:
[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]
[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]
Step-by-step explanation:
Given
[tex]y = 25x + 65[/tex]
Required
Determine the range and domain when x = 9 to 16
The domain is the set of
[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]
Solving for the range;
When x = 9
[tex]y = 25 * 9 + 65[/tex]
[tex]y = 225 + 65[/tex]
[tex]y = 290[/tex]
When x = 10
[tex]y = 25 * 10 + 65[/tex]
[tex]y = 250 + 65[/tex]
[tex]y = 315[/tex]
When x = 11
[tex]y = 25 * 11 + 65[/tex]
[tex]y = 275 + 65[/tex]
[tex]y = 340[/tex]
You continue till you get to x = 16
---
--
-
When x = 16
[tex]y = 25 * 16 + 65[/tex]
[tex]y = 400 + 65[/tex]
[tex]y = 465[/tex]
Hence; the range is
[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]
Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Sory jogging from the sa me place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour. How far apart are they after Sory jogs for 12 minutes?
Answer:
0.2 miles
Step-by-step explanation:
Given that Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Jonah must have covered a distance of;
Distance = speed × time
Distance = 6 × 5/60
Distance = 0.5 miles
Distance covered in 12 minute will be
Distance = 6 × 12/60
Distance = 1.2 miles
Total distance covered by Jonah will be 0.5 + 1.2 = 1.7 miles
Sory jogging from the same place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour.
If Sory jogs for 12 minute, then sory distance covered will be
Distance = speed × time
Distance = 7.5 × 12/60
Distance = 1.5
The distance between Jonah and Sory will be:
1.7 - 1.5 = 0.2 miles
Therefore, they are 0.2 miles apart after 12 minutes