========================================================
Work Shown:
[tex]\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4[/tex]
Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] to break up the roots.
Answer:
4
Step-by-step explanation:
We first simplify $\sqrt{72}$ and $\sqrt{8}$:\begin{align*}
\sqrt{72} &=\sqrt{36\cdot 2} = \sqrt{36}\cdot \sqrt{2} = 6\sqrt{2},\\
\sqrt{8} &= \sqrt{4\cdot 2} = \sqrt{4}\cdot \sqrt{2} = 2\sqrt{2}.
\end{align*}Then, we have
\[\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}} = \dfrac{2\left(6\sqrt{2}\right)}{2\sqrt{2} + \sqrt{2}}
= \dfrac{12\sqrt{2}}{3\sqrt{2}} = \dfrac{12}{3}\cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \boxed{4}.\]
What is the length of ONE side in a square if the perimeter is 4x + 25
Answer:
Hi, you already asked this question, the answer is 6...
Step-by-step explanation:
Which of the following is true about the line that passes through the points (-5, 8) and (1,8
Answer: there is a horizontal line on the bottom side to each point.
Step-by-step explanation: -5 x 8y, 1x 8y so from each position they are on the bottom. negative on the right, positive on the left (x axis)
Equations of the form cosθ=k where -1 ≤ k ≤ 1 has/have ______________ solution(s).
A. two
B. infinitely many
C. one
D. none
Area of a circle D=10
a.62.80
b.78.50
c.314
d.15.70
e.31.40
can I have help pls
Do this problem 3 2/3x-4/5(x-3 3/4)
Simplify the expression.
2.4 - 4.3n - 3n + 6
Answer:
-7.3n+8.4
Step-by-step explanation:
combine like terms
Hope this helps! Have a great day!!
Answer:
8.4 - 7.3n
Step-by-step explanation:
1. Rearrange
2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n
2. Combine like terms
2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n
The answer is 8.4 - 7.3n
Hope this helps :)
Have a great day!
You enter an online Esports tournament. The entry fee is $17, and the top 3 finishers win money. First place wins $325. Second place wins $276. Third place wins $106. You give yourself an X chance of finishing in the top 3, and if you finish top 3, then you have an equal chance of finishing first, second, or third. What is X such that entering this tournament is a fair gamble for you. A fair gamble is one where the expected value of entering the tournament is $0.
Using the expected value of a discrete distribution, it is found that X = 0.0673.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, we have that the distribution is:
P(X = -17) = 1 - X.
P(X = 325) = X/3.
P(X = 276) = X/3.
P(X = 106) = X/3.
Hence, since the expected value is 0:
[tex]-17(1 - X) + 325\frac{X}{3} + 276\frac{X}{3} + 106\frac{X}{3} = 0[/tex]
[tex]-17 + 17X + 235.67X = 0[/tex]
[tex]252.67X = 17[/tex]
[tex]X = \frac{17}{252.67}[/tex]
[tex]X = 0.0673[/tex]
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
i’ll give brainliest!
Answer:
-6
Step-by-step explanation:
just keep the same slope and just pretend to move the line up 8 which would decrease the x value by 14 equaling -6
A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM
The time at which the theatre does not have any customers is; Choice A: 11:00 PM
Functions and variableFrom the task content;
The function which represents the number of customers the theater has at each point in time is;C(x) = -x² + 11xHence, when C(x) = 0, the theater has no customers.
0 = -x² +11xDivide through by x;
0 = -x +11x = 11.
Read more on functions and variables;
https://brainly.com/question/24253401
14 students have volunteered for a committee. Eight of them are seniors and six of them are juniors. (a) How many ways are there to select a committee of 5 students
======================================================
Explanation:
We have five slots to fill, which I'll label A through E.
There are,
14 choices for slot A13 choices for slot B12 choices for slot C11 choices for slot D10 choices for slot EEach time we fill up a slot, we count down by 1.
This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.
However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.
Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.
There are (240,240)/(120) = 2002 different combinations.
---------------------------------------
Here's how we could have done the problem using the nCr combination formula.
Plug in n = 14 and r = 5.
n C r = (n!)/(r!(n-r)!)
14 C 5 = (14!)/(5!*(14-5)!)
14 C 5 = (14!)/(5!*9!)
14 C 5 = (14*13*12*11*10*9!)/(5!*9!)
14 C 5 = (14*13*12*11*10)/(5!)
14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)
14 C 5 = (240240)/(120)
14 C 5 = 2002
Which of the following numbers is the smallest
The smallest number from the folowing option is A . 0.0082.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The given numbers are;
0.0082
1/3
0.048
0.36
1/9
thus, The smallest number from the folowing option is A . 0.0082.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
help needed brainliest will be given for attempt
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Answer:
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Step-by-step explanation:
A car dealer purchases a car for $5,000 and sells for $6,600 what is his percentage profit? Round your answer to the nearest whole percent
Answer:
32%
Step-by-step explanation:
The percentage profit is the ratio of profit to original cost, expressed as a percentage. The profit is the difference between the selling price and the cost.
profit = selling price - cost
profit = $6600 -5000 = $1600
The ratio of that to cost is ...
$1600/$5000 = 0.32
As a percentage, that is ...
0.32 × 100% = 32%
The car dealer's profit was 32% of his cost.
Ahmad has $112 in his checking account and earns $75 per weeks
working part-time. Assume he has no expenses currently.
Calculate how much will Ahmad save in his account at the end of 4
weeks 2
Answer:
your is.... 2212
Step-by-step explanation:
7 days in a week, right?
7 * 4 = 28
75 x 28 + the additional 112
13.333...% as a fraction
Answer:
[tex]13 \frac{333}{1000}[/tex]
Step-by-step explanation:
The amount of numbers after the decimal point tell you the amount of zeros to put after the 1 in the denominator.
Just rewrite the whole number infront of the decimal point into the fraction
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]13.333...\%=\frac{13.333...}{100}=\frac{10+3.333...}{100}=\frac{10}{100}+\frac{3.333...}{100}[/tex]
[tex]=\frac{1}{10}+\frac{\frac{10}{3}}{100}=\frac{1}{10}+\frac{1}{30}=\frac{4}{30}=\frac{2}{15}[/tex]
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 3 or 5?
Answer:
3
Step-by-step explanation:
you should divide 52 by a number to get 3
3. Over the next two days, Job.net Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Here is my answer. Good luck.
. A jeweler has 100 necklaces and bracelets to sell at a flea market. Bracelets are selling for $5.75 each, and necklaces are $8.50 each. If the jeweler makes $685.00 after selling all of the items, how many of each type of jewelry did the jeweler sell?
Answer:
there are total 60 bracelets and 40 necklaces.
Explanation:
let necklaces be x
let bracelets be y
make two equations from the given values:
x + y → 1005.75y + 8.50x → $685solving steps:
x + y → 100
x → 100 - y
using substitution method:
5.75y + 8.5x → 685
5.75y + 8.5(100 - y) → 685
5.75y - 8.5y + 850 → 685
-2.75y → 685 - 850
-2.75y → -165
y → 60
Find x:
x + y → 100
x → 100 - 60
x → 40
Answer:
60 bracelets
40 necklaces
Step-by-step explanation:
Let n = number of necklaces sold
Let b = number of bracelets sold
Given:
Total number of items sold = 100⇒ n + b = 100
Given:
Sale price of bracelet = $5.75Sale price of necklace = $8.50Total sales = $685⇒ 5.75b + 8.5n = 685
Rewrite n + b = 100 to make b the subject, substitute into 5.75b + 8.5n = 685 and solve for n:
⇒ b = 100 - n
⇒ 5.75(100 - n) + 8.5n = 685
⇒ 575 - 5.75n + 8.5n = 685
⇒ 575 + 2.75n = 685
⇒ 2.75n = 110
⇒ n = 40
Substitute found value for n into n + b = 100 and solve for b:
⇒ 40 + b = 100
⇒ b = 60
Rewrite the quadratic function below in standard form. y = 3(x+9)(x+1)
Answer:
y = 3x² + 30x + 27
Step-by-step explanation:
Formula: Ax + By = C
y = 3 (x + 9) (x + 1)
y = 3x + 27x + 3x + 7
y = 3x² + 30x + 27
The value of q is:
A. 42.
B. 39.
C. 40.
Answer:
40
Step-by-step explanation:
Its pretty easy i did that on a test and got a 100
Brandon has a jar of quarters and dimes with a total value of $9.65. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: _.___x10^__ )
Answer:
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: 1769 ma 20
The supplement of a 60∘ angle is an angle that measures how many degrees?
Answer:
120 Degrees
Step-by-step explanation:
Supplementary means angles that add up to 180 Degrees, so 180 - 60
a song has 540 beats. if the song is 3 minutes long, how many beats per minute does the song have? ( PLEASE AWNSER UNTIL 10 MINUTES AND I WILL DELETE)
Answer:
180
Step-by-step explanation:
Divide 540 by 3 to get 180 which is your answer!
Have a good day!
Please mark brainliest!
Solution:
Note that:
540 beats = 3 min.Simplify the equation to know how much beats in 1 minute.
540 beats = 3 min.=> 1 minute = 540/3 beats=> 1 minute = 180 beatsThe beats per minute in this song is 180 beats per minute.
(2x-3)(3x+4) expand and simplify?
Answer:
6x2-x-12
Step-by-step explanation:
The given expression:
(
2
x
−
3
)
(
3
x
+
4
)
Simplify by using the FOIL method:
(
2
x
−
3
)
(
3
x
+
4
)
=
2
x
⋅
3
x
+
2
x
⋅
4
−
3
⋅
3
x
−
3
⋅
4
=
6
x
2
−
x
−
12
Therefore, the simplest form of the given expression is
6
x
2
−
x
−
12
.
Fatima is painting this cardboard cut out for her class play. the cutout is a trapezoid 3 m tall. it has a square opening. what is the area that Fatima needs to paint?
PLS SHOW WORK.
Answer:
8 square meters
Step-by-step explanation:
Area of the trapezoid is (1/2)(3)(2+4)=9
Area of the trapezoid is (1)(1)=1
So the area she needs to paint is 9 - 1 = 8
What is the slope of the line?
Answer:
The slope of the line is -3
Step-by-step explanation:
I chose the points (-2,3) and (0,-3)
The slope formula: m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-3-3}{0-(-2)}[/tex] ==> [tex]\frac{-3-3}{0+2}[/tex] ==> [tex]\frac{-6}{2}[/tex] = [tex]-3[/tex]
Our final answer is -3.
Hope that helps!
Find the circumference of the circle below:
15.7 cm
31.4 cm
100 cm
314 cm
help me
Answer:
31.4 cm
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]=2*\pi *5[/tex]
[tex]\neq 31.41593[/tex]
≈ 31.4
Help bell math math math
y = ax + b
The coefficient of x is the slope of the line in this form of the linear equations.
=====================================
The perpendicular line have negative and inverse slope which means the product of their slope must equals to - 1 .
Thus if we suppose that the line we want to find it's equation has a slope of m ; we have :
4 × m = - 1
Divide both sides by 4
4m ÷ 4 = - 1 ÷ 4
m = - 1/4
Thus we know the coefficient of x now :
y = - 1/4 x + b
======================================To find the value of b we need one of the point that the line passed through it which is the point ( 4 , - 11 ) .
All we have to is put the coordinates in the equation and find the value of b.
Let's gooo....
y = - 1/4 x + b
put the coordinates in the equation
- 11 = (- 1/4)×4 + b
- 11 = - 1 + b
Add both sides 1
- 11 + 1 = -1 + 1 + b
b = - 10
======================================
Thus :[tex]y = - \frac{1}{4} x + ( - 10) \\ [/tex]
[tex]y = - \frac{1}{4} x - 10 \\ [/tex]
Answer:
y = ax + b
Step-by-step explanation: