The correct option regarding the simplification of the expression is given as follows:
B. \(12\sqrt{2} + 4\sqrt{3}\)
How to simplify the expression?The expression in the context of this problem is defined as follows:
\(4\sqrt{18} - 2\sqrt{27} + 5\sqrt{12}\)
To simplify the expressions, first we must obtain the simplest radical form of each expression, as follows:
\(\sqrt{18} = \sqrt{2 \times 9} = 3\sqrt{2}\)\(\sqrt{27} = \sqrt{3 \times 3} = 3\sqrt{3}\)\(\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}\)Hence the simplified expression is obtained as follows:
\(4(3\sqrt{2}) - 2(3\sqrt{3}) + 5(2\sqrt{3}) = 12\sqrt{2} - 6\sqrt{3} + 10\sqrt{3} = 12\sqrt{2} + 4\sqrt{3}\)
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Which Expressions are equivalent to 3/5x +3
Answer:
A and B
Step-by-step explanation:
B)The top is cut off but if it says 3/5x then that is the answer.... 4/5x-1/5x is 3/5x and the +3 stays the same
p = 4, a = 5, r = 2, n = 10 Evaluate the algebraic expression a – r.
Answer:
5 - 2 = 3
Step-by-step explanation:
I think this is what you want
Answer:
Answer is 3.
Proof: I took the activity.
Help immediately due yesterday show how you got the answer and show your work for brainiest must do both
12. Each section of the line on each side is identical (shown by the marks through each line)
This means both those angles are also the same.
6x + 1 = 9x-23
Add 23 to both sides
6x + 24 = 9x
Subtract 6x from both sides
24 = 3x
Divide both sides by 3
X = 8
13. Both angles when added together need to equal 180
5x-24 + 8x +9 = 180
Combine like terms
13x -15 = 180
Add 15 to both sides
13x = 195
Divide both sides by 13
X = 15
#12
6x+1=9x-233x=24x=8#13
8x+9+5x-24=18013x-15=18013x=195x=15
Help please?
How has your ability to explain
The math ideas changed? How has your ability to
plain math verbally OR written changed? How has
our ability to see how others think or explain math
hanged?
Well, Mathematics can enhance your analytical and problem-solving skills, expands the mind to handle difficult or unfamiliar tasks, and also promotes cautious and careful thinking. Once you know what the words mean you'll be able to write different variable expressions. Like I said it enhances our minds and helps think and solve probelms.
Use factoring by grouping to completely factor the following.
4x^3−3x^2−36x+27=
Answer: 3 answers
Step-by-step explanation:
A sequence is defined by the function A(n) =8+ (n -1)(-4).
Which term, n, would result in A(n) = -172?
A) 44
B) 46
C)692
D)700
Answer:
B. 46.
Step-by-step explanation:
First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.
3. A rectangular room measures 18 feet by 24 feet. Carpeting for the floor costs $52 per square y
What is the total price to carpet this floor?
Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
AreaThe dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
CostThe cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
__
Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
<95141404393>
The following is a list of costs that were incurred in producing book:
a. Insurance on the factory building and equipment
b. Salary of the vice president of finance
c. Hourly wages of printing press operators during production
d. Electricity used to run the presses during the printing of the Book.
e. Sales commissions paid to book representatives for each book sold
f. Paper on which the text is printed
g. Book covers used to bind the pages
h. Straight-line depreciation on an office building
i. Salaries of staff used to develop artwork for the text
j. Glue used to bind pages to cover
Instructions: With respect to the manufacture and sale of this text, classify each cost as either a product cost or a
period cost. Indicate whether each product cost is a direct materials cost, a direct labor cost, or a factory overhead
cost. Indicate whether each period cost is a selling expense or an administrative expense.
A theatre sells a total of 450 Children’s Tickets (x) for $4, Senior Tickets (y) for $7, and Adult Tickets (z) for $9 and collect $3,250.
The number of Children’s tickets sold is 55 more than the number of Senior Tickets.
Answer:
M = 55Children's: 130Senior: 75Adult: 245Step-by-step explanation:
You want the equation representing the relation between Children's tickets and Senior tickets, and the solution to the problem if ...
a total of 450 tickets were soldticket revenue from $4, $7, and $9 tickets was $325055 more Children's ($4) tickets were sold than Senior ($7) ticketsMatrixThe augmented matrix for the problem, and its solution, are shown in the attachment.
M = 55Children's: 130Senior: 75Adult: 245<95141404393>
HELP ME ASAP!!! YOU WILL BE BRAINLIEST
We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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What is the volume of the sphere below
Answer:
A.) \(\frac{500}{3} \pi units^3\)
Step-by-step explanation:
To find the volume of the sphere, you need to use the following equation:
\(V= \frac{4}{3} \pi r^3\)
In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.
\(V= \frac{4}{3} \pi r^3\) <----- Volume equation
\(V= \frac{4}{3} \pi (5)^3\) <----- Plug 5 into "r"
\(V= \frac{4}{3} \pi (125)\) <----- Solve 5³
\(V= \frac{500}{3} \pi\) <----- Multiply \(\frac{4}{3}\) and 125
Answer:
\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)
Step-by-step explanation:
Volume of a sphere
\(\sf V=\dfrac{4}{3} \pi r^3\)
(where r is the radius)
From inspection of the given diagram:
r = 5 unitsSubstitute the value of r into the equation and solve for V:
\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)
(ii) factorize 9x^2 - y^2 + 4y - 4
Answer:
(3x - y + 2)(3x + y - 2).
Step-by-step explanation:
9x^2 - y^2 + 4y - 4
= 9x^2 - (y^2 - 4y + 4)
= 9x^2 - (y - 2)^2
= (3x - (y - 2))(3x + (y - 2)
= (3x - y + 2)(3x + y - 2).
HELP WITH THIS PLEASE
Answer:
a = 35º
b = 140º
c = 40º
d = 140º
e = 58º
Step-by-step explanation:
Angle A is supplementary to the angle that is 145º, and supplementary angles always add up to 180º. Therefore, 180 - 145 = 35, the measure of angle a. Angle B is supplementary to the 40º angle, so its measure is 140. Angle C is opposite the 40º angle, and opposite angles are congruent, so its measure would also be 40º. Angle D is also 140º because it is opposite of angle B. Angle E is supplementary to the angle that measures 122º, so 180 - 122 = 58. Hope this helped!
Evaluate the following
2/3 + 11/3 – 1/3
Answer:
12/3 which is =4
Step-by-step explanation:
for adding fractions you keep the denominator the same and just add or subtract the numerators
2+11-1=12
Do you know what the sales tax is in your state?
Answer:
no ;)
Step-by-step explanation:
100 students were interviewed.
28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took
all three subjects.
How many students took none of the three subjects?
How many students took PE but not BIO or ENG?
How many students took BIO and PE but not ENG?
The solution for all three is mathematically given as
P(3)= 20P(PBE)= 13P(PB)=5How many students took BIO and PE but not ENG?Generally, the equation for students taking only PE and not Bio and Eng is mathematically given as
P(PBE)= 28 – (5+6+4)
= 28 - 15
= 13
Students taking only Bio and not PE and Eng
P(BP)= 31 – (5+4+2)
= 31 - 11
= 20
Students who are merely studying English and are not also taking Bio and PE
P(EP)= 42 – (6+4+2)
= 42 - 12
= 30
Now, students who have taken three different classes
P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )
= 100 - 80
= 20
In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.
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6.05) The table shows the number of students in a class who play on a school team and/or are members of a school club: Play on a School Team Do Not Play on a School Team Total Club Member 12 ? 15 Not a Club Member 11 10 21 Total 23 13 36 What is the missing number in the table? 3 5 25 27
Answer: 3 i took the test and got it right
Step-by-step explanation:
y = 3•2^x+1 +2
Graph the equation
State the domain and range
State the asymptote
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Find the area
(Please would mark Brainily
Answer:
195.5 m²
Step-by-step explanation:
A = bh/2
A = (23)(17)/2
A = 391/2
A ≈ 195.5 m²
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
at the vertex x = 4.5
Step-by-step explanation:
hope this helps! :)
Answer:
at the vertex x = 4.5
Step-by-step explanation:
Review the table of values for function f(x).
A 2-column table with 7 rows. Column 1 is labeled x with entries negative 2, negative 1, negative one-half, 0, one-half, 1, 2. Column 2 is labeled f (x) with entries 8, 5 and one-half, 4, one-half, negative 1, negative 2, negative 7.
Which number is the value of f–1(–2)?
–8
–7
StartFraction 1 Over 8 EndFraction
1?
Answer:
D. 1
Step-by-step explanation:
Answer:
Answer is D. 1
Step-by-step explanation:
The answer is D on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
Using exponents, what is the simplified form of 15x6/3x2
F. 5x"
G. 5x3
H. 5x
I. 5
Answer:
\( \frac{15 {x}^{6}}{3 {x}^{2} } = 5 {x}^{4} \)
Triangle D has been dilated to create triangle D′. Use the image to answer the question. image of a triangle labeled D with side lengths of 6, 8, 10 and a second triangle labeled D prime with side lengths of 18, 24, 30 Determine the scale factor used. one half 2 3 one third
Dilating a shape will proportionately affect its side lengths.
To find the scale factor between the given triangles, take one side on the larger triangle and divide it by the corresponding side on the smaller triangle. I will divide the triangles' top sides (24 and 8).
\(\text{scale factor}=\dfrac{24}{8} =3\)
So, the scale factor used was 3.
Answer: 3
Step-by-step explanation:
I took the quiz so you do not have to!
Solve 3 - x= -9.
O A. x= 6
O B. x= 12
O c. x= -6
O D. x=-12
Answer:
x=12
Step-by-step explanation:
you need the x alone so you substract 3 from both sides.
Then you have, -x= -12
You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.
x=12
Find the function and simplify the function rule.
f(x) = 5x + 1 g(x) = 3x - 4
(f+g)(x) =
Answer:
( f + g )( x ) = 8x - 3
Step-by-step explanation:
What this is saying is to add the two functions together.
( 5x+1 ) + ( 3x - 4 )
( f + g )( x ) = 8x - 3 is the simplified version.
Answer:
(f∘g)(x)=25x-1
(g∘f)(x)=25x+19
Step-by-step explanation:
To find (f∘g)(x), use the definition of (f∘g)(x),
(f∘g)(x)=f(g(x))
Substituting 5x−1 for g(x) gives
(f∘g)(x)=f(5x−1)
Find f(5x−1), where f(x)=5x+4, and simplify to get
(f∘g)(x)(f∘g)(x)(f∘g)(x)=5(5x−1)+4=25x−5+4=25x−1
To find (g∘f)(x), use the definition of (g∘f)(x),
(g∘f)(x)=g(f(x))
Substituting 5x+4 for f(x) gives
(g∘f)(x)=g(5x+4)
Find g(5x+4), where g(x)=5x−1, and simplify to get
(g∘f)(x)=5(5x+4)−1
(g∘f)(x)=25x+20−1
(g∘f)(x)=25x+19
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
if f(x)=3x+2, what is f(5)
Answer:
f(5) = 17
Step-by-step explanation:
Pretty easy :)
just pluggin f(5).
f(5) = 3(5) + 2
f(5) = 15+2
f(5) = 17.
:)
The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.
Last night, the theater sold a total of 364 tickets for a total of $1930. How many adult tickets did the theater sell last night?
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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