The radical symbol √ indicates the root extraction operation in mathematics. Non-examples of the radical symbol could include any symbol not associated with this concept, such as the minus sign (-), division sign (÷), or the Greek letter alpha (α).
Explanation:The radical symbol √, used in mathematics, represents the operation of root extraction. A non-example of the radical symbol would be anything outside this context. Here are a few:
Minus sign (-): This symbol is related to subtraction, which is a different operation from root extraction. Division sign (÷): This sign indicates the operation of division, not root extraction. Alpha (α): This is a Greek letter used in various mathematics and science contexts, but it is not related to root extraction.
In summary, symbols unrelated to root extraction do not serve as examples of the radical symbol, since their usage and meaning in a given context significantly differ.
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Final answer:
In chemistry, a radical is a molecule with an odd number of valence electrons, such as the chlorine atom and the hydroxyl radical, which makes the molecule highly reactive and typically paramagnetic.
Explanation:
The term radical in chemistry usually refers to a molecule that has an odd number of valence electrons, rendering it highly reactive. These radicals do not follow the conventional complete octets in terms of electron configuration; they are typically short one or more electrons, which gives them an odd number of electrons in total. A familiar example of a radical is the gaseous chlorine atom, which has seven valence electrons and is denoted by its elemental symbol with a dot (Cl·). This makes the chlorine atom a radical because the unpaired electron can easily participate in chemical reactions.
Another example is the hydroxyl radical (OH·), which contains an unpaired electron. Radicals are generally considered to be paramagnetic due to their odd electrons, which can align with a magnetic field. The presence of these unpaired electrons makes radicals highly reactive and an important subject in chemical reactions.
Which point is an x-intercept of the quadratic function f(x)= (x-8)(x+9)?
A. (0,8)
B. (0,-8)
C. (9,0)
D. (-9,0)
Answer:D
Step-by-step explanation:
-9+9=0
the speed limit on the highway is 60 miles per hour. Mr.Erikson is driving at 53 miles per hour. Write and solve an inequality to find how much faster Mr. Erikson can drive while still obeying the speed limit
[tex]53 + x \leq 60[/tex]
53 is what he's driving at, x is how much faster he can go, 60 is the speed limit.
If we solve it, we can see that Mr.Erikson can go 7 miles per hour faster.
Angle 3 and angle 4 are supplementary angles. Angle 3 is 88°. What is the measure of angle 4?
180-88=92 becuase supplementary angles add up to 180 and 88 plus 92 equal 180
angle 4=92
Answer:
92 degrees
Step-by-step explanation:
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What is 755 divided by 5
Answer:
151
Step-by-step explanation:
Answer:
755 divided by 5 would be 151
Select all the statements that describe the expression 5 + 2x.
A The expression represents 5 plus 2 plus x.
» The expression represents 5 plus 2 times x.
» The expression represents 5 plus x plus x.
D The expression represents 5 plus x times x.
» The expression represents the sum of 5 and 2x.
F The expression represents the product of 5 and 2x.
Answer:
A
Step-by-step explanation:
The expression 5 + 2x typically means 5 plus 2 times x, or the sum of 5 and the product of 2 and x. Hence correct options are B and E.
The expression 5 + 2x can have multiple interpretations depending on the context, but most commonly, it represents the following:
The expression represents 5 plus 2 times x.
The expression represents 5 plus x plus x, which is another way of stating the distributive property of multiplication over addition.
The expression represents the sum of 5 and 2x, which can be thought of as adding the number 5 to the product of 2 and x.
It does not represent the product of 5 and 2x nor does it indicate additions of 5, 2, and x independently (without multiplication).
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=6
Step-by-step explanation:
x-2 = sqrt(28-2x)
Square each side
(x-2)^2 = (sqrt(28-2x))^2
(x-2)^2 = 28-2x
FOIL
x^2 -4x+4 = 28-2x
Subtract 28 from each side
x^2 -4x+4-28 = 28-2x-28
x^2 -4x-24=-2x
Add 2x to each side
x^2 -2x-24=-2x
x^2 -2x+2x-24=-2x+2x
x^2-2x-24 =0
Factor
(x-6)(x+4)=0
Using the zero product property
x=6 x=-4
Check for extraneous solutions
x=6
x-2 = sqrt(28-2x)
6-2 =sqrt(28-12)
4 = sqrt(16)
4=4
Solution
x=-4
x-2 = sqrt(28-2x)
-4-2 =sqrt(28+8)
-6 = sqrt(36)
-6=6
Not a solution
Type4/6 in the simplest form
Answer:
2/3
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
4 ÷ 2 = 2
6 ÷ 2 = 3
Answer:
2/3
Step-by-step explanation:
4/6 reduces to 2/3.
10 POINTS ARE AWARDED! :(
WILL GIVE BRAINLIEST FOR BEST EXPLANATIONS!
CAN SOMEONE PLEASE SHOW ME HOW TO SOLVE INDICES PROBLEMS AND SHOW ME SOLUTIONS TO SOME OF THEM? I REALLY AM STRUGGLING AT THESE INDICES PROBLEMS AND NEED HELP ASAP! ;-;
Answer:
Step-by-step explanation:
To solve indices problems you need to know the laws of indices.
The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0
law 1
aᵇ * aⁿ = aᵇ⁺ⁿ
example 5³ * 5⁵ = 5³⁺⁵= 5⁸
law 2
aᵇ / aⁿ = aᵇ⁻ⁿ
example 7⁵/ 7³ = 7⁵⁻³ = 7²
law 3
(aᵇ)ⁿ = aᵇⁿ
example (5³)⁴ = 5³ * 5⁴ = 5¹²
law 4
a⁰ = 1
example 8⁰ = 1
law 5
a⁻ⁿ = 1/aⁿ
example 7⁻² = 1/7² = 1/49
law 6
a^¹/ₙ = ⁿ√a
example 27^¹/₃ = ∛27 = 3
law 7
a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ
example 8^²/₃ = (∛8)² = (2)² = 4
A gumball machine has 150 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer:
Step-by-step explanation:
Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D
Answer:
600 Gumballs in total
Step-by-step explanation:
Write it as a proportion.
25/100 = 150/x
25x = 15000
x = 600 gumballs
OR
You could multiply 150 by 4 because 25% equals 1/4.
!!!!?!?!?!!!?!!?!!!!!?!!?!?!?!?!!?!?!?!
Answer:
it's A
Step-by-step explanation:
2x-y=6+2x-2y=4 start moving the numbers
Answer:
( 4 , 2 )
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
2 x - y = 6
2 x - 2 y = 4
x = 4 and y = 2
(2 × 4 )- (2 × 2) = 8 - 4 = 4
( 2 × 4 ) - 2 = 8 - 2 = 6
What is equal to 5 - 1 3/10
Answer:
3 and 7/10
Step-by-step explanation:
Jessica purchased some suede shoes during the Leather Emporium's Semi-Annual Clearance Sale. If Jessica paid $45.00 for the shoes and the original price is $60.00, how much of a discount did she receive? A. 75% B. 25% C. 35% D. 20%
Answer:
Option A is correct.
Step-by-step explanation:
In this question the sale price and the original price of the shoe purchased is given. We need to find the amount of discount Jessica has received for purchasing shoes on sale.
Sale Price = $45.00
Original Price = $60.00
Discount she received=?
Discount received = Sale Price/Original Price
= 45/60
= 0.75
Converting it into percentage:
Discount received = 0.75 * 100
= 75%
So, Option A is correct.
Jessica received a 25% discount on the suede shoes she purchased during the Leather Emporium's Semi-Annual Clearance Sale.
Explanation:The subject of this question is discount percent. It is inferred from the question that Jessica purchased shoes worth $60.00 at a reduced price of $45.00. To compute the discount she got, we need to subtract the sale price from the original price, and then divide that result by the original price, and multiply it by 100 to get it in percentile form.
In this case, the discount received is calculated as (($60 - $45)/$60) * 100 = 25%. So, the correct answer to the question 'If Jessica paid $45.00 for the shoes originally priced at $60.00, how much of a discount did she receive?' is B. 25%.
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732,178 + 167 - 542,137
Answer:
190,208
Step-by-step explanation:
732,178 + 167 = 732,345
732,345 - 542,137 = 190,208
Question : 732,178 + 167 - 542,137
Answer : 190208
Step-by-step explanation :
732,178 + 167 = 732345
732345 - 542,137 = 190208
Hope this helps :)
Have a great day !
5INGH
A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probibility that.......
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
So everything will be over 13.
Probability of a white marble being drawn --> [tex]\frac{4}{13}[/tex]
Probability of a blue marble being drawn --> [tex]\frac{3}{13}[/tex]
Probability of a red marble being drawn --> [tex]\frac{6}{13}[/tex]
Now to find the probabilities of more than one being drawn, we can multiply.
Part a :
[tex]\frac{6}{13}*\frac{6}{13}=\frac{36}{169}[/tex]
Part b :
[tex]\frac{3}{13}*\frac{3}{13}=\frac{9}{169}[/tex]
Part c :
[tex]\frac{6}{13}*\frac{3}{13}=\frac{18}{169}[/tex]
Part d :
[tex]\frac{7}{13}*\frac{7}{13}=\frac{49}{169}[/tex]
Final answer:
The probability of drawing a marble of a specific color remains the same after each draw when a marble is replaced in the bag. For a bag of 13 marbles, the probability of drawing a blue marble twice in a row is 3/13 for each draw, assuming replacement after the first draw.
Explanation:
The question asks to calculate the probability of certain outcomes when drawing marbles from a bag with replacement. Considering a bag with a total of 13 marbles (4 white, 3 blue, and 6 red), the probability of drawing a marble of a specific color is calculated by dividing the number of marbles of that color by the total number of marbles in the bag. Since each marble is replaced after it is drawn, the probabilities for the second draw remain the same as the first.
For example, the probability of drawing a blue marble is 3 out of 13. If we replace the marble and draw again, the probability of drawing a blue marble for the second time is still 3 out of 13. The events are independent, and the probabilities do not change after each draw because of the replacement.
find distance between the points (-3,-2) and (-1,-2)
2 units between (-3,-2) and (-1,-2)
The distance between the points (-3, -2) and (- 1, - 2) is 2 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by
[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points (-3, -2) and (- 1, - 2).
Therefore the distance between these two points can be obtained by the distance formula,
[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Therefore,
[tex]D = \sqrt{-1 + 3)^2 + (-2 + 2)^2[/tex].
[tex]D = \sqrt{2)^2 + (0)^2[/tex].
[tex]D = \sqrt{4[/tex].
D = 2units.
So, The distance between the points (-3, -2) and (- 1, - 2) is 2 units.
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What is the perimeter of this rectangle
Answer:
A. 2(x2 - 1) = 2(y2 - y1)
Step-by-step explanation:
Perimeter
P = 2W + 2L
W = √(x2 - x1)^2 = x2 - 1
L = √(y2 - y1)^2 = y2 - y1
So
P = 2(x2 - 1) = 2(y2 - y1)
Answer is A.
2(x2 - 1) = 2(y2 - y1)
Answer:
24 units
Step-by-step explanation:
To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y. I count 7 blocks in the x-direction and 5 in the y-direction. Thus, the perimeter, P, is P = 2W + 2L, which here equals:
P = 2(5) + 2(7) = 24 units
would someone help me with this problem
hey buddy how's it going?
BRAINLIEST please
Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C. Both Alec and Avis drew triangles, as shown below, to calculate the slopes:
A graph shows numbers from 0 to 18 on the x axis at increments of 2 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 18, 6.The ordered pair 6, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.
Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately?
Both calculated the slope as 3.
Both calculated the slope as 1 over 3.
Alec calculated the slope as 1 over 3 and Avis calculated it as 3.
Alec calculated the slope as 3 and Avis calculated it as1 over 3.
The answer is B . Please mark as brainliest :)
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.
If a line passing through two points then the slope of the line is
[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]
The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is
[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]
The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is
[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]
[tex]m_1=m_2[/tex]
Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.
4x+y=25
x- 3y=16
Simultaneous equation
you change the y to have it y=3x+16 and same with the other one i think
What is the exponential regression equation to best fit the data? Round each value in your equation to two decimal places.
x y
0 14
1 23
2 30
3 58
4 137
5 310
Answer:
[tex]y=11.5466(1.8484)^x[/tex]
Step-by-step explanation:
Given :
x y
0 14
1 23
2 30
3 58
4 137
5 310
To Find: What is the exponential regression equation to best fit the data?
Solution:
General form of exponential regression equation : [tex]y=ab^x[/tex]
So, using calculator
Regression Equation: [tex]y=11.5466(1.8484)^x[/tex]
Hence the exponential regression equation to best fit the data is [tex]y=11.5466(1.8484)^x[/tex]
Answer:
I have the correct answer for you people on the quiz
Step-by-step explanation:
I need to find the letters
Answer:
w = 21
x = 13
y = -11
z = -16
Step-by-step explanation:
Matrix subtraction is simply subtracting "corresponding" values e.g. row 1 column 1 value of one matrix and row 1 column 1 value of another matrix, and so on...
Thus, w = 17 - (-4) = 17 + 4 = 21
x = 12 - (-1) = 12 + 1 = 13
y = -3 -8 = -11
z = -2 -14 = -16
These are the values of w, x, y and z , respectively.
witch expression is equivalent to 2.8k - 8.4?
A. 0.07 ( 4K -12 )
B. 0.7 ( 4K - 12)
C. 5.6K
D. -5.6K
The correct answer is B
We can simply solve to see if it is correct.
Apply the distributive property.
.7*4k-.7*12
2.8k-8.4
This matches the example given in the question.
Hope this helps!
Answer:
B
It can not be c or d because you can't combine unlike factors. It is not a because 0.07 * 4K is not 2.8K
Mary sold 10 dozen tamales for $15 per dozen. It cost jer $40 for all of the supplies and ingredients. How much profit did she make?
She profited $110 because $10 per dozen equals to $150. Then, you subtract $40 then you have $110. Hope my answer helped. (:
10x15=150
150-40=110
110 is the profit!
hope this helped!
The object below is made of solid plastic. It is a cylind
in the shape of a cone.
is a cylinder with an indentation at the top
0.7 in IT
V
tv-lehah
What is the volume, to the nearest tenth of a cubic inch of the plastic object
is this correct
Answer:
97.6
Step-by-step explanation:
test
The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.
What is volume?The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,
The Volume of object = Volume of cone - Volume of cylinder
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]
Since π and radius of the cone and cylinder are common, therefore the equation can be written as,
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]
As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,
[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]
Thus, the volume of the object is 97.6 in³.
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PLEASE HELP!
A researcher wants to know the opinions of people in a state have about filling out surveys. The researcher asks the first 30 people who volunteer to take a survey, "Do you think surveys are a useful took for gathering information?"
Describe the population.
EX: If a school reporter surveys every 5th student who walks in the building, to describe the population, you would say that the population consists of students.
The population consists of volunteers in a certain state.
The problem mentions that volunteers took the survey, as well that the survey is meant to find the opinions of people in a certain state.
4/5 pounds of cherries is 2/3 of the bucket. How many pounds of cherries can be fill with 1 bucket
Answer: 1 and 1/5 pounds
Step by step explanation:
Find a common denominator.
In this particular equation we’ll use 15. Take 4/5 and multiply that by 3/3 and you get 12/15. Then take 2/3 and multiple that by 5/5, you then get 10/15. (That step was simply so we can compare the data easier, it is a crucial step to this question). So now you know that you have 12/15 cherries in the bucket and you need get 3/15 more to fill the bucket. And if 2/3=6/15 than you would need another 1/3 so, you would add 6/15 to 12/15 and get 18/15= 1 3/15. Im not complete sure if this is correct, but I tried :(.
Please help asap!!! Asap!!!!
Answer:
Step-by-step explanation:
I'll do them you arrange.
x + (x - 1) > 5
If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have
3 + (3 - 1)>5
6 - 1 = 5 not something greater than 5
4 + (4 - 1) > 5
8 - 1 > 5
7 > 5 which is true.
Answer 4
5x - 3x > 9
2x > 9 x must equal 5
2*5 > 9
10 > 9
Answer 5
6x - 14 > 3 add 14 to both sides.
6x - 14+14>3+14
6x > 17 The answer to equality is just about 3. So three is the answer
6*3 > 17
18 > 17
Answer 3
2x - 1 > 0 Add 1 to both sides.
2x > 1 1 is the answer
2*1 > 1
2 > 1
Answer 1
So all you need do is place them in order. The last one goes first and then the second last one.
Help please, thank you!
ANSWER
9 nickels 8 dimes
EXPLANATION
The simultaneous equations are:
1st equation: n+d=17
2nd equation: 0.05n+0.10d=1.25
Multiply through the second equation by 100.
This the equation:
3rd equation: 5n+10d=125
Make n the subject in equation (1).
n=17-d
Substitute this into equation (3)
5(17-d)+10d=125
85-5d+10d=125
-5d+10d=125-85
5d=40
Divide both sides by 5.
d=8
Put d=8 into n=17-d
This gives:
n=17-8
n=9
Answer:
8 dimes and 9 nickels
Step-by-step explanation:
In this exercise, we got a system of linear equations. We can solve this system by using several methods: substitution, reduction and equalization, and other advanced method call "Cramer's rule".
So, for this exercise we will use the substitution method.
1. Clear n for the first equation.
n + d = 17
n = 17 - d
2. Replace n in the second equation.
0.05n + 0.10d = 1.25
0.05(17 - d) + 0.10d = 1.25
0.85 - 0.05d + 0.10d = 1.25
0.85 + 0.05d = 1.25
3. We solve the obtained equation for d.
0.05d = 1.25 - 0.85
d = (1.25 - 0.85)/0.05
d = 0.40/0.05 = 8
dimes (d) = 8
4. we obtain the value of n using any of the two equations and with d = 8
Using the first equation
n + d = 17
n = 17 - d with d = 8
n = 17 - 8
n = 9
nickels (n) = 9
.
What are the coordinates of the vertex of the parabola?
y=3/4x^2−6x+15
Answer:
The vertex is the point (4,3)
Step-by-step explanation:
we have
[tex]y=\frac{3}{4}x^{2}-6x+15[/tex]
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]y-15=\frac{3}{4}x^{2}-6x[/tex]
Factor the leading coefficient
[tex]y-15=\frac{3}{4}(x^{2}-8x)[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]y-15+12=\frac{3}{4}(x^{2}-8x+16)[/tex]
[tex]y-3=\frac{3}{4}(x^{2}-8x+16)[/tex]
Rewrite as perfect squares
[tex]y-3=\frac{3}{4}(x-4)^{2}[/tex]
[tex]y=\frac{3}{4}(x-4)^{2}+3[/tex] ----> equation in vertex form
The vertex is the point (4,3)
What is the value of x given that figure ADCB
is an isosceles trapezoid?
A: 6
B: 4
C: 1.5
D: 2.4
Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
The value of x given that figure ADCB is an isosceles trapezoid is 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
AC=3x+15 BD=7x-9
Now,
In an isosceles trapezoid, the diagonals are congruent. Hence, we can set AC equal to BD and solve for x: 3x + 15 = 7x - 9. Subtracting 3x from both sides, we get: 15 = 4x - 9. Adding 9 to both sides, we get: 24 = 4x. Dividing both sides by 4, we get: x = 6.
Therefore, by algebra the answer will be 6.
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