Answer:
[tex] 5 - 2 \sqrt{6} [/tex]
Step-by-step explanation:
Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.
[tex] \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ multiplying \: numerator \: and \: denominator \: \\ by \: (\sqrt{3} - \sqrt{2}) \\ \\ \frac{( \sqrt{3} - \sqrt{2} ) }{ (\sqrt{3} + \sqrt{2} )} \times \frac{ (\sqrt{3} - \sqrt{2} )}{ (\sqrt{3} - \sqrt{2} )} \\ \\ = \frac{{( \sqrt{3} - \sqrt{2} )}^{2} }{ { (\sqrt{3} })^{2} - {( \sqrt{2} })^{2} } \\ \\ = \frac{ { (\sqrt{3} )}^{2} + { (\sqrt{2} )}^{2} - 2 \sqrt{3 \times 2} }{3 - 2} \\ \\ = \frac{3 + 2 - 2 \sqrt{6} }{1} \\ \\ = 5 - 2 \sqrt{6} [/tex]
Help ASAP!! I WIILL GIVE BRAINLIEST look at attached question! Thx x
Answer:
c= 3/5(n)+2.5
Step-by-step explanation:
Let
c -----> the cost of some taxi journeys
n ----> the number of miles
we know that
The graph is a line
The equation of a line in slope - intercept form is
c=m(n)+b
where
m is the slope
b is the c-intercept (value of c when the value of n is equal to zero)
Observing the graph we have the points
(0,2.5), (5,5.5)
Find the slope
The formula to calculate the slope between two points is equal to
m= c2-c1/n2-n1
substitute the values
m=5.5-2.5/5-0
m=3/5
we have
b=2.5 -----> because the point (0,2.5) is the c-intercept
substitute in the equation of slope-intercept form
c=3/5(n)+2.5
I hope that gives you your answer please mark me brainliest :)
Can you help show me where they belong ? pls help asap
y=3x, y=(2/7)x,-0.5=y are all on direct the other ones are on the other side i just did the question they correct. :)
What is the most significant digit of the number 546?
Answer:
5
Step-by-step explanation:
my answer is 5
6 is the least significant
The graph of the function f(x) = 5 cos (2x) is a reflection over the x-axis of the graph of g(x) =
Answer:
[tex]g(x)=-5\cos (2x)[/tex]
Step-by-step explanation:
The given function is
[tex]f(x)=5\cos (2x)[/tex]
If a function reflected over the x-axis, then x-coordinate remains same but the sign of y-coordinate is changed.
[tex]P(x,y)\Rightarrow P'(x,-y)[/tex]
If function f(x) is a reflection over the x-axis to get the of g(x), then the resultant function is
[tex]g(x)=-f(x)[/tex]
Substituting the value of function f(x), we get
[tex]g(x)=-5\cos (2x)[/tex]
Therefore, the required function is [tex]g(x)=-5\cos (2x)[/tex].
Seth sold 20% of his baseball cards during week one. During week two, he bought 20% more cards than he had after week one. If he now has 10 fewer cards, how many cards did he have originally? (he had more than 100 cards originally.)
Answer:
250 cards
Step-by-step explanation:
Let the number of baseball cards he originally had be x.
He sold 20% of the baseball cards after week one. This means that after week one the number of cards he had was:
x - (20/100 * x) = x - 0.2x = 0.8x
During week two he bought 20% more cards than he had after week one. This means that after week two, he had:
0.8x + (20/100 * 0.8x)
= 0.8x + (0.2 * 0.8x)
= 0.8x + 0.16x = 0.96x
He now has 10 fewer cards. This means that:
x - 10 = 0.96x
Collecting like terms:
x - 0.96x = 10
0.04x = 10
=> x = 10/0.04 = 250
He had 250 cards originally.
(9x+9)+(8c−5) Whats the answer?
Solution,
(9x+9)+(8c-5)
=9x+9+8c-5
=9x+8c+9-5
=9x+8c+4
hope it helps
Good luck on your assignment
Step-by-step explanation:
1. go to google
2. search your question
3. go to a website that tells you the answers
You got your answer. ;)
For which distributions is the median the best measure of center?
Answer:
D
Step-by-step explanation:
It is the organized one with the center bar also being the largest value.
what is the transitive property
Answer:
the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.
I have attached the definition below with an example too.
Why does (-4 1/2)^2 = 20.25? Thank you please hurry!
Answer:
See below.
Step-by-step explanation:
Squaring a number means to multiply the number by itself.
For example, 3^2 means 3 * 3.
8^2 means 8 * 8.
(-6)^2 means (-6) * (-6).
In each case above, you see that the number that is squared is multiplied by itself.
In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5
(-4.5)^2 = (-4.5) * (-4.5)
Now we need to actually multiply -4.5 by -4.5
When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5
4.5 * 4.5 = 20.25
Therefore, (-4.5)^2 = 20.25
A bag contains green yellow and black marbles out of the 100 marbles in the bag 35 marbles are green and 15 or yellow what percent of the marbles or black
Answer:
50%
Step-by-step explanation:
35 + 15 = 50
so the other half of the marbles is, 50%
I actually need help wit all of it .
Answer:
shiiiiii this is easy ight so
A
A
B
hope it helps
Step-by-step explanation:
The perimeter of the rectangle is 20 cm. One side is 6 cm long. What is the length of the missing side
Answer:
it is 4cm long
Step-by-step explanation:
You multiply 6 by 2 to get 12, then subtract 12 from 20 and get 8. Then you divide 8 by 2 to get 4. If you want to check it, you can add 6+6+4+4 to get 20
Answer: 4
Step-by-step explanation: the definition of a rectangle states that opposite sides of the rectangle are congruent. this means that there is 2 sides that measure 6cm. These two sides added together give us 12cm. By working backwards, we can subtract 12cm from the perimeter (20cm), this gives us 8cm. by diving that by 2 we can find the lenght of the missing sides, 4cm each.
which binomial is a factor of X^3 - 3x^2 - 28x
a) x - 4
b) x^2 - 4
c) x - 7
d) x^2 - 7
The mystery number is a four digit number it’s digits are 5,4,7 and 3
Answer:
Dear friend i hope the answer is 4753 which is the mystery four digit number.
in a survey of students 60% were in high school in 40% were in middle school of the high school students 30% had visited a foreign country if a survey of student is selected at random what is the probability that the student is in high school and has visited a foreign country?
Answer:
0.18
Step-by-step explanation:
Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country
To find: probability that the student is in high school and has visited a foreign country
Solution:
Let x denotes total number of students
Number of students in high school = 60% of x = [tex]\frac{60}{100}x[/tex]
Number of students in middle school = 40% of x = [tex]\frac{40}{100}x[/tex]
Number of students who are in high school and have visited foreign country = 30% of Number of students in high school = [tex]\frac{30}{100}(\frac{60}{100})x=\frac{18}{100}x[/tex]
Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students = [tex]\frac{\frac{18}{100}x}{x}=\frac{18}{100}=0.18[/tex]
find the axis of symmetry for this parabola y=-2x^2-4x-11
write your answer as an equation
Answer:
x = - 1
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 ) , then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
y = - 2x² - 4x - 11 ← is in standard form
with a = - 2 and b = - 4 , thus
x = - [tex]\frac{-4}{-4}[/tex] = - 1
x = - 1 is the equation of the axis of symmetry
Una caja negra contiene una esfera blanca y tres guindas, otra caja gris contiene cuatro esferas blancas y cuatro esferas guindas. Se selecciona una caja al azar y se elige una esfera. Si la esfera resultante es guinda, calcule la probabilidad de que provenga de la caja negra. *
la probabilidad es de un 29.16666667% que sea de la caja negra
Based on the box-and-whisker plots shown below, which of the following statements is true?
77
75
+
76
+
78
79
80
81
82
83
Group A -
Group B
The median of Group A is less than that of Group B.
The range of Group A is less than that of Group B.
The lower quartile of youp A is less than that of Group B.
Answer:
The median of Group A is less than that of Group B.
Step-by-step explanation:
Assume that your box-and-whisker plots look like those below.
1. Compare medians
Group A = 79
Group B = 79.5
The median of Group A is less than that of B
Correct.
2. Compare ranges
Group A: 82 - 76 = 6
Group B: 81 - 76 = 5
The range of Group A is greater than that of Group B.
Option B is wrong.
3. Compare Q1s
Group A: 78
Group B: 77
Q1 for Group A is less than that for Group B.
Option C is wrong.
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping? x2(4x + 1) – 2(4x + 1) x2(4x – 1) + 2(4x – 1) 4x2(x + 2) – 1(x + 2) 4x2(x – 2) – 1(x – 2)
Answer:
see explanation
Step-by-step explanation:
Given
4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )
= x²(4x + 1) - 2(4x + 1) ← first option on list
Finishing the factoring by factoring out (4x + 1) from each term
= (4x + 1)(x² - 2)
Answer:
x2(4x + 1) – 2(4x + 1)
Step-by-step explanation:
it's A on edg
I am thinking of two numbers. The first is 5 more than the second. If you add the first number to three times the second number, you get 29. What are the two numbers?
Answer:
11 and 6 respectively
Step-by-step explanation:
1st number=x
2nd number=x-5
three times the second number=3(x-5)=3x-15
3x-15+x=29
put the liketerms together=3x+x=29+15
4x=44
(divide both sides by 4)x=11
Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 13 of its length. What is the length and the height of the wall?
Answer:
l=30ft
h=10ft
Step-by-step explanation:
Area 'A' is defined as the product of length and height
[tex]A=lh=300ft^2\\h= \frac{1}{3} l[/tex]
[tex]\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft[/tex]
Thus, the length and the height of the wall is 30 ft and 10 ft respectively.
There are 12 bags of apples on a market stall.
The mean number of apples in each bag is 8.
The table shows the number of apples
in 11 of the bags.
Number of | Frequency
apples. |
6. 1
7. 4
8. 2
9. 3
10. 1
Calculate the number of the apples in the 12th bag
+
Note: Please make sure your final answer says.apples
There are 12 bags of apples on a market stall. The number of apples in bag 12 is 96.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
It is Given that, there are 12 bags of apples on a market stall.
The mean number of apples in each bag is 8.
We need to calculate the number of apples in the 12 bags.
The mean of "n" observations is given as
Mean = Sum of observations/the number of observations
8 = sum of observations/12
The total number of apples = 8 x 12 = 96
Hence, there are 96 apples in 12 bags.
Learn more about mean;
https://brainly.com/question/17060266
#SPJ1
Which expression is not equivalent to 3(n + 6)
Answer:
3n + 6
Step-by-step explanation:
So the simplified version is 3n + 18
3n + 6 X
3n + 18 = 3n + 18
2n + 8 + n + 10 = 3n + 18
2(n + 6) + 6 + n = 3n + 18
All of them except the first are EQUIVALENT.
Answer:
3n+6 is not equivalent.
Step-by-step explanation:
plz help and thank you... My last question im asking from my teacher before i stop using this...
If a popular man named Mr. Big Chungus who has about 298 chocolate sweet cakes and ate 182 chocolate sweet cakes away what does he have now? Pick the truest answer
A. Diabetes
B.116
C. All of the above
Answer:
C. All of the above
Step-by-step explanation:
The Second Statement is the ____ of the first.
Answer:
inverse because if your switching the order up it would be inverse
Step-by-step explanation:
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers)
How much will he pay in all?
Answer:
No of Monthly payments it would take to pay off his credit card = $94.601 per month
Step-by-step explanation:
If Ramiro made monthly payments at the end of each month, how long would it take to pay off his credit card?
No of Monthly payment it would take to pay off his credit card = nper(rate,pmt,pv,fv)
No of Monthly payment it would take to pay off his credit card = nper(18.24%/12,10,-500,0)
No of Monthly payment it would take to pay off his credit card = $94.601 per month.
The growth of a new strain of bacteria is represented by y = 79.31(1.48),
where x represents the number of days and y represents the number of
bacteria. Which is the best prediction for the number of bacteria on day 6?
O A. 833 bacteria
O B. 647 bacteria
O C. 117 bacteria
O D. 704 bacteria
Answer:
A
Step-by-step explanation:
y = 79.31(1.48)^6
y=833.84
i need to find the volume
Answer: 3.83m^3
Step-by-step explanation:
Use formula for volume of a triangular prism (Area of triangle times length of the figure)
Answer:
6
Step-by-step explanation:
idk i just added them all together
Using the properties of a kite, what is the measure of Angle X? 70° 90° 130° 140°
Answer:
70°
Step-by-step explanation:
Properties of a kite are:
a) They have two congruent sides
b) Their diagonal is perpendicular to each other.
c) On a kite, we also have two angles that are opposite and congruent to each other. These angles are the same
We would be using the property of a kite that says "On a kite, we also have two angles that are opposite and congruent to each other. These angles are the same" to solved this question.
In the diagram , the angles Z and X are opposite and congruent to one another. This means they are equal to each other.
Since angles Z= angle X
Let us call both of them angle a
Since a Kite is a Quadrilateral shape, the sum of angles in a Quadrilateral = 180°
Angle W = 90°
Angle Y = 130°
Angle X = a°
Angle Z = a°
Hence,
90° + 130° + a° + a° = 360°
220° + 2a° = 360°
2a° = 360° - 220°
2a° = 140°
a° = 140/2
a° = 70°
Therefore, from the calculation above, we can say that the measure of x = 70°
Answer:
70°
Step-by-step explanation:
Properties of a kite are:
a) They have two congruent sides
b) Their diagonal is perpendicular to each other.
c) On a kite, we also have two angles that are opposite and congruent to each other. These angles are the same
Tentukan kondisi berikut yang manakah yang menunjukan kondisi rugi pemasukan rp. Pengeluaran rp a. 700.000. 900.000 b.1.100.000. 1.100.000 c.2.100.000. 2.000.000 d.1.650.000. 1.550.000 PLISSE TOLONG JAWAB YG BENER
Answer:Kelas: 7
Mapel: matematika
Kategori
: Kata kunci aritmatika sosial: laba, rugi,
Kode impas: 7.2.6 [revisi matematika kelas 7 K13 Bab 6-aritmatika sosial]
Diskusi:
dalam kegiatan atau kondisi yang kita ketahui 3 istilah, yaitu:
1. untung
2. kehilangan
3. impas.
Jika aktivitas atau kondisi keuntungan, penarikan harga lebih kecil dari entri
Harga.
Jika kondisi peristiwa atau kerugian, harga penarikan lebih besar dari entri
Harga.
Jika aktivitas atau kondisi impas, harga pengeluaran sama dengan entri
Harga.
Mari kita lihat
Pertanyaan.
Catat tabel di lampiran 2.
1. jika harga masuk RP 700.000, 00 dan harga produksinya Rp 900,000, 00, maka harga pendapatan lebih kecil dari harga pengeluaran.
Jadi, kondisi ini
Kehilangan.
Kemudian
RP 900,000-RP 700.000
, 00 = RP 200,000 Jadi, jumlah kerugian adalah RP 200,000, 00 2.
Jika harga masuk adalah Rp 1.100.000 dan biaya pengeluaran Rp 1.100,00, maka harga pendapatan sama dengan harga penarikan.
Jadi, kondisi impas
Terjadi.
3. jika harga tiket masuk RP 2.100.000 dan harga pengeluaran RP 2.000,00, maka harga masuk lebih besar dari pengeluaran
Harga.
Jadi, kondisi yang terjadi menguntungkan
.
Kemudian
RP 2.100.000-RP 2.000.000, 00 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.
4. jika harga masuk RP 1.650.000 dan harga produksi RP 1.550.000, maka harga masuk lebih besar dari pengeluaran
Harga.
Jadi, kondisi yang terjadi menguntungkan
.
Kemudian
RP 1.650.000-RP 1.550.000 = RP 100,000 Jadi, jumlah keuntungannya RP 100,000, 00.
berharap ini membantu!