Answer:
[tex]a+b+c=9+8+6=23[/tex]
Step-by-step explanation:
Let’s first simplify our expression. We have:
[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]
For the second term, multiply both the numerator and denominator by √2. This yields:
[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:
[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Hence, our expression is now:
[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]
Let’s combine them. First, we will need common denominators.
Our denominators are 2 and 3. So, our common denominator will be its LCM.
The LCM of 2 and 3 is 6.
Hence, let’s make each term’s denominator 6.
For the first term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]
For the second term, we can multiply both layers by 3. Hence:
[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]
For the third term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]
And for the last term, we can multiply both layers by 2. Hence:
[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]
So, our expression is:
[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]
Add:
[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]
Combine like terms:
[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]
This cannot be simplified. So, c is as small as possible.
Hence: a=9, b=8, and c=6.
Therefore:
[tex]a+b+c=9+8+6=23[/tex]
what is the slope of a line whose equation is 2x-2y=20
Answer:
The slope is 1.
Step-by-step explanation:
The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced. A 2-column table with 5 rows. Column 1 is labeled x with Hours, x with entries 3, 5, 7, 9, 11. Column 2 is labeled Cars, y with entries 75, 125, 175, 225, 275. What is the domain of the function represented by the table? all real numbers x greater-than-or-equal-to 0 {3, 5, 7, 9, 11} {75, 125, 175, 225, 275}
Answer:its 3,5,7,9,11
Step-by-step explanation:i m pretty sure it's this one because I got it from briainly
Answer:
b
Step-by-step explanation:
i took the test and this was right
5star answer don't u think????
what is 6+7??????????????
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
c hj utschu85rx bcvb
How many quaters are in 4 and 3 over 4
Answer:
19
Step-by-step explanation:
If you're asking how many quarters in 4 3/4
In 1 there are 4 quarters so do 4 multiplied by the 4 quarters which is 16. In 3/4 we have 3 quarters so 16 add the 3 is 19.
The linear equation y = one-half x + 1 is represented by the graphed line. A second linear equation is represented by the data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 4. Column 2 is labeled y with entries 7, 6, 5, 4. In which square is the solution located?
The correct answer is the letter D
Answer:
d
Step-by-step explanation:
cuz im a goddddd
HELP!!!!! I will gove brainliest
Answer:
what do u need help on?
Step-by-step explanation:
i don't know what u need help with
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters) 24.015 centimeters 62.54 centimeters 154.94 centimeters 155.448 centimeters
Answer:
154.94 cm so pick the third answer.
Step-by-step explanation:
5*12+1=61 total inches.
61*2.54=154.94 cm
Answer:
Answer:
154.94 cm so pick the third answer.
Step-by-step explanation:
5*12+1=61 total inches.
61*2.54=154.94 cm
Step-by-step explanation:
HELP
Which of the c-values are solutions to both of the following inequalities?
1< and 2 < 13
Choose all answers that apply:
2=0
= 2
2= 14
Answer:B.x = 2
because 1 < x < 13 => x ≠ {0;14}
Step-by-step explanation:
how do you solve negative exponents?
Answer:
Step-by-step explanation:
Negative Exponent Rule:
, this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.
Equation: y = __x + __
Answer:
Step-by-step explanation:
y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept
Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.
Answer:
I suppose that each number is repeated 3 times, the actual question is:
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.
Now, remember the relation:
Distance = Speed*Time
Let's define:
D1 = distance between Courtney's house and the beach.
D2 = distance between the beach and the park.
T1 = time that it took the first walk.
T2 = time that it took the second walk.
We know that the total distance Courtney walked is 8km, then:
D1 + D2 = 8km.
And we also know that the entire walk took 2 hours, then:
T1 + T2 = 2h.
We also have the equations:
D1 = 4km/h*T1
D2 = 5km/h*T2.
Then we have a system of equations:
D1 + D2 = 8km
T1 + T2 = 2h
D1 = 4km/h*T1
D2 = 5km/h*T2.
To solve this, first let's replace equations 3 and 4 in the first equation:
4km/h*T1 + 5km/h*T2 = 8km
Now we have only two equations left:
4km/h*T1 + 5km/h*T2 = 8km
T1 + T2 = 2h
Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:
T1 = 2h - T2.
Replacing this in the first equation gives:
4km/h*(2h - T2) + 5km/h*T2 = 8km
Now let's solve this for T2.
8km - 4km/h*T2 + 5km/h*T2 = 8km
8km + 1km/h*T2 = 8km
1km/h*T2 = 0
from this, we have T2 = 0
This would mean that T1 = 2h.
Then:
D1 = 4km/h*2h = 8km.
T2 = 0
D2 = 5km/h*0 = 0.
This happens because the numbers in the problem were not well thought.
You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.
50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.
Answer:
-3x-19y+8
Step-by-step explanation:
Answer:
-3x-19y+8
Step-by-step explanation:
thanks for 50 points.
PLEASE HELP HELP ME HELP ME HELP ME ITS MATH EZ STUFF
Answer:
Bruh your in high school yo know this stuff just make everything a decimal to get your answer. Lol you really forgot this?
Step-by-step explanation:
Answer:
-7/2 ,-2/8, 0.7, 2/3, 3/4
Step-by-step explanation:
pls look at my question to pay it back!!
i am in need of assistance
5) Contains (3,-1) and (6,- 13)
Help please
Answer:
The slope of the line is -12/3
Step-by-step explanation:
remember, rise over run
My I have brainliest please? :)
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1
9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.
please help me with this
Step-by-step explanation:
-4 = x - y ...1
4 = -x + y ...2
...1 + ...2
-4+4 = x-y +(-x+y)
0 = 0
and I don't know next lol
Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7
Answer:
A=3√5
B=11√7
Step-by-step explanation:
5√5-2√5
5-2√5
3√5
B) 8√7+3√7
8+3√7
11√7
Solve for x.
−x − 4( 1−x)>1
x −1
x>5/3
x<−1
Answer: x> 5/3
Step-by-step explanation: Let's solve your inequality step-by-step.
−x−4(1−x)>1
Step 1: Simplify both sides of the inequality.
3x−4>1
Step 2: Add 4 to both sides.
3x−4+4>1+4
3x>5
Step 3: Divide both sides by 3.
3x /3 > 5 /3
x> 5 /3
IF YOU HAVE ANSWER PLEASE ANSWER
The math teacher said, "Please ___ each expression on the board. Show your work so that I can see how you found the value."
its ether evaluate, operation or commutative
Here are the numbers of children in 12 elementary school classes.
20, 16, 19, 19, 17, 16, 20, 16, 18, 18, 18, 19
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
18, 19(which has two) 20(has two)
Step-by-step explanation:
Just find the ones that appear more than one time.
Answer:
18
Step-by-step explanation:
Re-arrange
16 16,16,17,18,||18,18||,19,19,19,20,20
Find the middle number
i.e ( 18+18) /2
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer: 100°
Step-by-step explanation: LKO and GKO equal 180°. 180 (total of the supplementary angles) - 80° (LKO) = 100°
(work)(study) + (work)(practice) + (work)(perseverance)
9514 1404 393
Answer:
(work)(study + practice + perseverance)
Step-by-step explanation:
(work) is the common factor in the three products. It can be factored out:
(work)(study + practice + perseverance)
will mark brain list if answered correct) On this number line, zero represents sea level. Plot the following points based on the description provided.
• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5
Answer:
The points would be:
1.5
4.5
-2
-4
1
-2.5
4
3
-3.5
5
Step-by-step explanation:
Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same
Answer:
The indifference point is 20 minutes
Step-by-step explanation:
Giving the following information:
Tantasic:
Reservation fee of 20$ and $1 per minute
Bettersun:
2$ per minute.
First, we need to structure both total cost formulas:
Tantasic= 20 + 1x
Bettersun= 2x
x= number of minutes
Now, we equal both formulas and isolate x:
20 + 1x = 2x
20 = 1x
20= x
The indifference point is 20 minutes
There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item
Answer:
Step-by-step explanation:
56:84:196 would be the answer
The point (3, ) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply. O A. (1,0.4) B. (1.5, 0) oc. (1, 3) OD. (4, 5) E. (15,6). PLEASE HELLPPPPP
Answer:
A)
Step-by-step explanation:
i got iititititiittiitiitititititititt
HELPPPPP PLZZZ ITS TIMEDDD
Solve for the unknown length.
Answer:
37.5 units
Step-by-step explanation:
I assume that there is condition: BC║DE . If so, then ΔABC ~ ΔADE ⇒ that corresponding sides are proportional.
[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AC}{AE}[/tex]
AC = 30 + 20 = 50
[tex]\frac{x}{15}[/tex] = [tex]\frac{50}{20}[/tex] ⇒ x = [tex]\frac{15*50}{20}[/tex] = 37.5 units
Drag the numbers below to put them in order from least to greatest:
-19 -12 -13 9 -4 -1
3 Elena and Jada are 32 miles apart on a path when they start
moving toward each other, Elena runs at a constant speed of 6
miles per hour, and lada walks at a constant speed of 2 miles per
hour, How long does it take until Elena and Jada meet? Complete
the table to show your reasoning,
(table: 8 points total-
2 points
for each section)
Elapsed Time
Distance Apart
(hours)
(miles)
0
32
1
24
2
8 을
Hours it takes Elena and Jada to meet: (2 points)
Answer:
The hours it takes Elena to meet Jada = 4 hours
Step-by-step explanation:
The distance between Elena and Jada = 32 miles
The speed with which Elena runs = 6 miles per hour
The speed with which Jada walks = 2 miles per hour
Let t, represent the time it takes until Elena and Jada meets, we have;
Distance = Speed × Time
The total distance covered by both Elena and Jada before they meet = The distance between them = 32 miles
The distance covered by Elena before meeting Jada = Elena's speed × The time that elapsed for them to meet
∴ The distance covered by Elena before meeting Jada = 6 mph × t
The distance covered by Jada before meeting Elena = Jada's speed × The time that elapsed for them to meet
∴ The distance covered by Jada before meeting Elena = 2 mph × t
The total distance covered by both Elena and Jada before they meet = The distance covered by Elena before meeting Jada + The distance covered by Jada before meeting Elena = 32 miles
∴ The total distance covered by both Elena and Jada before they meet = 6 mph × t + 2 mph × t = 32 miles
t × (6 mph + 2 mph) = 32 miles
t × 8 mph = t × 8 miles/hour = 32 miles
t = 32 miles/(8 miles/hour) = 4 hours
The time it takes until Elena and Jada meets = t = 4 hours