An expression can either be an equation or an inequality.
The correct classification of the terms are:
Expression; 4x+20
Inequality: 4x+20>40
Equation: 4x+20=40
We have given that,
{20,18,8,18,10,8,4}
{12,14,16,20,4,8,10}
{12,16,4,20,8,6,8}
How to determine the correct classification?To determine the correct classification, we make use of the following highlights
When an expression has the =, then the expression is an equation.
When an expression has any of the following signs>, <, >=, <= or != , then the expression is an inequality.
When the expression is neither an equation nor an inequality, then it is just an expression.
Hence, the correct classifications are:
Expression; 4x+20
Inequality: 4x+20>40
Equation: 4x+20=40
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Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Answer:
-9
Step-by-step explanation:
-9
Preform the indicated operation.
(2x+y)(3 x² + y)
Answer:
[tex]6x^3+3x^2y+2xy+y^2[/tex]
Step-by-step explanations:
[tex](2x+y)(3x^2+y)\\2x*3x^2+2xy+3x^2y+y*y - Distribute\\6x^3+3x^2y+2xy+y^2 - Simplify[/tex]
Answer:
6x^3 + 2xy + 3x^ 2y + y^2
Step-by-step explanation:
Apply the distributive property of multiplication. First multiply (3x^2 + y) by 2, obtaining 6x^3 + 2xy, and then multiply (3x^2 + y) by y, obtaining
3x^2y + y^2. Finally, combine like terms (if any) in these two results:
6x^3 + 2xy + 3x^ 2y + y^2
How many solutions does the system have?
x + y = 5
x + y = 6
Onone
O one
O two
O infinite
Answer:
none
Step-by-step explanation:
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A biased dice is rolled 100 times.
The results are shown below in the table.
Result 1 2 3 4 5 6
Frequency 12 29 26 9 14 10
Estimate the probability of rolling a prime number?
Answer:
0.69 or 69% :)
Step-by-step explanation:
Prime numbers: 2, 3, 5
Now lets add :)
29 + 26 + 14
29 + 40
69
Now we add all numbers together and divide by our first number 69 :)
12 + 29 + 26 + 9 + 14 + 10
41 + 26 + 9 + 14 + 10
67 + 9 + 14 + 10
76 + 14 + 10
90 + 10
100
69/100 = 0.69 = 69% :D
Have an amazing day!!
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GEOMETRY! 50 POINTS
Please explain as best as you can for the second part of the question, I dont understand how to do it.
The geometry is that the number of sides for a 15- gon is 15 sides and the angles are 156° each.
How to calculate the angle?The total angles in a 15 gon will be calculated as:
= (n - 2) × 180
= (15 - 2) × 180
= 2340
The value of each angle will be:
= 2340/15
= 156°
The total angles in a 16 gon will be calculated as:
= (n - 2) × 180
= (16 - 2) × 180
= 2520
The value of each angle will be:
= 2520/16
= 157.5°
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Which triangles in the diagram are congruent?
70°
triangle 1
70°
triangle 3
OA triangle 1 and triangle 2
OB. triangle 1, triangle 2, and triangle 3
OC. triangle 1 and triangle 3
OD. triangle 1, triangle 3, and triangle 4
70°
triangle 2
#
triangle 4
Submit Test
Rea
Answer:
its e
Step-by-step explanation:
because e is is referring to savvy
find the smallest 4 digit number which is exactly divisible by 72 and 108
with explaination
The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
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3% simple annual interest paid on $250
A 2-column table with 4 rows. Column 1 is labeled Year with entries 1, 2, 3, 4. Column 2 is labeled Total Interest Paid with entries question mark, 15 dollars, 22 dollars and 50 cents, question mark.
The simple interest earned in year 1 is calculated as
.
The simple interest earned in year 1 is
.
The total interest earned at the end of year 4 is
.
The simple interest earned in year 1 is 7.5. The simple interest earned in year 1 is $7.50. The total interest earned at the end of year 4 is $30.00
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, it is left for T years for that simple interest.
3% simple annual interest paid on $250
A 2-column table with 4 rows.
Column 1 is labeled Year with entries 1, 2, 3, 4.
Column 2 is labeled Total Interest Paid with an entries question mark, 15 dollars, 22 dollars, and 50 cents,
The simple interest earned in year 1 is calculated as
The first one is (0.03)(250) = 7.5
The simple interest earned in year 1 is
The second one is $7.50
The total interest earned at the end of year 4 is
The third one is $30.00
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Suppose we want to choose 6 letters without replacement from 10 distnict letters. how many ways can this be done if the order of the choices is relavant
The number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Suppose we want to choose 6 letters without replacement from 10 distinct letters.
Number of letters = 10
Number of letters need to select = 6
Order is important.
A number of ways:
C(10, 6) = 10!/(10-6)!
= 10!/(4)!
= 151200
Thus, the number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.
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Find the equation of the line through point (−5,5) and perpendicular to y=59x−4
Answer:
Step-by-step explanation:
HELPPP!! SEEE PHOTOOO
Answer:
angle s = 22
angle r = 117
angle q = 41
Step-by-step explanation:
so all of the angles equal to 180 degrees in a triangle
so you add all of t he angles like this:
x+5x+7x+2x-3=180
collect all of the like terms,
8x + 4 = 180
subtract 4 from both sides, which leaves you with 8x = 176
divide both sides by 8 leaving x on its own.
x = 22
angle s = 22
angle r = (5x22)+7 which is 117
angles q = (2x22)-3 which is 41
Solve the equation.
{x-3}{5}=12
Answer: 63
Step-by-step explanation:
I assume you meant (x+3)/5 = 12.
(x-3)/5 = 12 [given]x-3 = 60 [multiply both sides by 5]x = 63 [add 3 to both sides]Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect? OA. Incenter OB. Centroid OC. Circumcenter D. Orthocenter
Answer: Circumcenter (choice C)
Explanation:
The circumcenter is useful to form a circle that passes through all three points of a triangle. It is the smallest circle possible that doesn't go inside the triangle.
The incenter is formed by intersecting at least two angle bisectors, which means we can rule out choice A. The centroid is the result of intersecting two or more medians, which allows us to cross off choice B. Choice D is out because the orthocenter is the intersection of the altitudes.
Answer:
C. Circumcenter
Step-by-step explanation:
Hope this helps.
Please help! What is sin A?
Answer:
0.4706
Step-by-step explanation:
Using trigonometric formulas we know:
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
Here, our opposite is the side opposite to the angle A, which in this case is the line BC which is equal to 8.
The hypotenuse is the diagonal line, which in this case is AB, and this is equal to 17.
Therefore,
[tex]sinA = \frac{8}{17} =0.4706[/tex]
Our final answer is 0.4706.
Answer:
8/17= 0.4706 is the answers for the question
Step-by-step explanation:
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A biologist is studying the effects of using a type of bacteria to clear drain pipes. She creates a simulation of a typical kitchen drain system and
uses it regularly for three days before introducing the bacteria. She then carries out her simulation for another 15 days.
The population of bacteria can be approximated using function b, where dis the number of days since she started the experiment and (d) is the
bacteria population in hundreds.
b(d) = √5.2d-15.6 +2
Use this information to complete the statement.
The domain over which the bacteria population Increases is
The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
How to determine the domain?The function is given as;
[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]
Set the radicand greater than or equal to 0
[tex]5.2d - 15.6 \ge 0[/tex]
Add 15.6 to both sides
[tex]5.2d \ge 15.6[/tex]
Divide both sides by 5.2
[tex]d \ge 3[/tex]
Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
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What is the difference between normal definition of set and contors definition of set
Step-by-step explanation:
The collection of well defined object is called set
A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain why he steps that you take to arrive your answer.
If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.
What is the Volume of a rectangular prism?The Volume of rectangular prism = l×b×h
The volume of a prism,
V = L x B x H
V = 4 x 6 x 10
V = 240
When all the dimensions are doubled, the new volume will become
V1 =2L x 2B x 2H
V1 = 8(4 x 6 x 10)
V1 = 8(240)
V1 = 1920 cubic m
If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.
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The height of a cone is twice the radius of its base. a cone has a height of 2 x and a radius of x. what expression represents the volume of the cone, in cubic units?
Answer:
Step-by-step explanation:
The volume of a cone is V = 1/3 [tex]\pi[/tex] * h * r^2
The height of the cone = the diameter of its circle.
Here is the expression:
Volume = 1/3 π * 2x * x^2
[tex]\frac{\pi *x^{2} *2x}{3}[/tex]
Hope I helped!
You buy three bags of dog food that cost $27.99 each. Before tax, how much will you spend on dog food?
Answer:
83.97
Step-by-step equation:
Since there is 3 Bags of Dog food and each is 27.99, you want to multipy 27.99*3 to get your answer.
a triangle is obtuse provided all the angles have a measure greater then 90 degrees
Answer:
An obtuse triangle can not have more than one angle measured greater than 90.
Step-by-step explanation:
Obtuse triangles have 2 acute angles (less than 90 degrees) and 1 obtuse angle (greater than 90).
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
Answer:
1.2x = 22x = 55/3 ≈ 18.3322 AUD = 18.33 USDStep-by-step explanation:
1 USD - 1.2 AUD
x USD - 22 AUD
cross multiply
1.2 · x = 1 · 22
1.2x = 22multiply both sides by 10
12x = 220
divide both sides by 12
x=55/3 ≈ 18.33USD - United States dollar
AUD - Australian dollar
40 points, please help lol
The simplified expression of [tex]x^{-2/3} . x^{6/7}[/tex] is [tex]x^{4/21}[/tex]
How to simplify an expression?The expression [tex]x^{-2/3} . x^{6/7}[/tex] can be simplified as follows:
using law of indices,
xⁿ . xᵇ = xⁿ⁺ᵇ
Therefore,
[tex]x^{-2/3} . x^{6/7}[/tex] = [tex]x^{-2/3 + 6/7}[/tex]
[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21}[/tex]
[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21} = x^{4/21}[/tex]
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HELP NOW PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASE
Answer:
-3/2
Step-by-step explanation:
First, you divide by taking the reciprocal of -2/5 which is -5/2.
Second, you get the answer which is -5/4.
Add that with -1/4 and you will get -6/4.
Simplify to get the answer which is -3/2.
Answer:
[tex]-\dfrac{3}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{\dfrac{1}{2}}{-\dfrac{2}{5}}+\left(-\dfrac{1}{4}\right)[/tex]
To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
[tex]\implies \dfrac{1}{2} \times -\dfrac{5}{2}+\left(-\dfrac{1}{4}\right)[/tex]
To multiply the fractions, multiply the numerators and multiply the denominators:
[tex]\implies \dfrac{1 \times (-5)}{2 \times 2} +\left(-\dfrac{1}{4}\right)[/tex]
[tex]\implies -\dfrac{5}{4} +\left(-\dfrac{1}{4}\right)[/tex]
Apply the rule -a + (-b) = -a - b :
[tex]\implies -\dfrac{5}{4} -\dfrac{1}{4}[/tex]
As the denominators are the same, subtract the numerators and put the answer over the same denominator:
[tex]\implies \dfrac{-5-1}{4}[/tex]
[tex]\implies -\dfrac{6}{4}[/tex]
Simplify by dividing the numerator and denominator by the highest common factor:
[tex]\implies -\dfrac{6 \div 2}{4 \div 2}[/tex]
[tex]\implies -\dfrac{3}{2}[/tex]
What is the equation of the line that passes through the point (8,4) and has an undefined slope?
Answer:
x = 8
Step-by-step explanation:
An undefined slope indicates that the line is vertical and parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (8, 4 ) with x- coordinate 8 , then
x = 8 ← equation of line
4
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Graph g(x)=|x−4|+3.\
I insert an image graphing the function.
Function:[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]
MissSpanishExit A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 2/7
B. 3/14
C. 4/15
D. 4/11
please hurry
P(B|A) expressed in simplest form is 4/15. Option C is correct answer.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, probability of event A = 4/15
probability of event B = 4/15
P(B|A) = P(A ∩ B)/P(B)
P(A ∩ B) = P(A) X P(B)
= (4/15)(4/15)
= 16/225
Now, conditional probability;
P(B|A) = (16/225) / (4/15)
= (16/225)(15/4)
= (16 X 15) / (225 X 4)
= 4/15
Thus, P(B|A) expressed in simplest form is 4/15. Option C is correct answer.
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What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show all necessary steps.
The remainder of the polynomial equation is -49
What is a remainder of a polynomial equation?The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.
From the given information, we are to find the remainder of the given algebraic equation:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]
Using the long division method, we have:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]
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(picture)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
196
Step-by-step explanation:
70% multiply by 4/5(80%) which is 56%
56% times 350
How to determine whether square root equation is always, sometimes , never, or true?
Answer:
While identity is true for all values of x, an equation may be true only for some values of x, or for no values of x. Examples: 2x + 6 = 4 is true when x = -1, but not when x = 0. The equation x + 5 = x is never true because a number is never equal to five more than itself.
Step-by-step explanation:
I hope this helps
help asap!!!!
Select the correct answer.
Which equation could represent the data in the table?
Answer:
A. y = 3x + 1
Explanation:
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Take two points: (0, 1), (1, 4)
[tex]\sf \rightarrow slope \ (m) : \dfrac{4-1}{1- 0 } = 3[/tex]
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\sf y - 1 = 3(x - 0)[/tex]
[tex]\sf y = 3x + 1[/tex]