Answer:
[tex]=2\sqrt{3}\\\mathrm{Decimal:\quad }\:3.46410[/tex]
Step-by-step explanation:
[tex]\frac{12\sqrt{2}}{2\sqrt{6}}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{2}=6\\=\frac{6\sqrt{2}}{\sqrt{6}}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\\sqrt{6}=6^{\frac{1}{2}}\\=\frac{6\sqrt{2}}{6^{\frac{1}{2}}}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{6^1}{6^{\frac{1}{2}}}=6^{1-\frac{1}{2}}\\=\sqrt{2}\cdot \:6^{-\frac{1}{2}+1}\\\mathrm{Subtract\:the\:numbers:}\:1-\frac{1}{2}=\frac{1}{2}\\=6^{\frac{1}{2}}\sqrt{2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \:a^{\frac{1}{n}}=\sqrt[n]{a}\\6^{\frac{1}{2}}=\sqrt{6}\\=\sqrt{6}\sqrt{2}\\\mathrm{Factor\:integer\:}6=2\cdot \:3\\=\sqrt{2\cdot \:3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\sqrt{2\cdot \:3}=\sqrt{2}\sqrt{3}\\=\sqrt{2}\sqrt{3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\sqrt{2}\sqrt{2}=2\\=2\sqrt{3}[/tex]
Answer:
[tex]2 \sqrt{3} [/tex]Step-by-step explanation:
[tex] \frac{ 12\sqrt{2} }{2 \sqrt{6} } [/tex]
Reduce the fraction with 2
[tex] = \frac{6 \sqrt{2} }{ \sqrt{6} } [/tex]
Simplify the expression
[tex] \frac{6}{ \sqrt{3} } [/tex]
Multiply the fraction by [tex] \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
To multiply the fractions, multiply the numerators and denominators separately
[tex] \frac{6 \sqrt{3} }{ \sqrt{3 \times \sqrt{3} } } [/tex]
When a square root of an expression is multiplied by itself, the result is that expression
[tex] \frac{6 \sqrt{3} }{3} [/tex]
Reduce the fraction with 3
[tex] 2 \sqrt{3} [/tex]
Hope this helps...
Best regards!!
1. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?
Please Answer Quickly And Kindly Explain Properly, Thanks!
Answer:
1.3 2.2 3.1
Step-by-step explanation:
1. 6:4 4:6 5:5
2. 5:6 6:5
3. 12 6:6
those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice
if a=3 then what does 5(a+5) equal show all steps
Answer:
40
Step-by-step explanation:
5(a+5)
Let a =3
5(3+5)
Parentheses first
5(8)
Multiply
40
Answer:
40
Step-by-step explanation:
5(a+5)
5(3+5)
5(8)
40
Ramesh is a cashier in a canara bank. He has notes of denomination of Rs 100,50,10 respectively. The ratio of number of these notes is2:3:5respectively. The total cash with ramesh is 400000.How many notes of each denomination does he have
Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.
Step-by-step explanation:
From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.
Total ratio = 2+3+5 = 10
100Rs = 2/10 × 400000
= 80,000
50Rs = 3/10 × 400000
= 120,000
10Rs = 5/10 × 400000
= 200,000
Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.
What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.
A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8
Answer:
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Step-by-step explanation:
(x – 5)^2 + 3(x – 5) + 9 = 0
This is a quadratic equation in x - 5.
Let u = x - 5, then the quadratic equation becomes:
u^2 + 3u + 9 = 0
We can use the quadratic formula to solve for u.
[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]
[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
Since u = x - 5, now we substitute x - 5 for u and solve for x.
[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Answer:
x = 7+/-3i sqrt3 over 2
Step-by-step explanation:
Find the indicated term of the given arithmetic sequence.
a14 for 200, 196, 192, ...
Answer:
148
Step-by-step explanation:
AP 200, 196, 192, ...
a14=?
---------
a1= 200
d= 196-200=192-196= -4
a14= a1+13d
a14= 200+13*(-4)= 200- 52= 148
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!
Step-by-step explanation:
see the attachement
hope it helps you....
How many imaginary roots can an equation have?
Answer:
Step-by-step explanation:
if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.
if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.
Which set of properties describes a square?
Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.
Step-by-step explanation:
Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.
y= ????
Answer: y = [tex]\frac{1}{2} x[/tex] - 3
Step-by-step explanation:
The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.Since the slope is 0.5 (which is [tex]\frac{1}{2}[/tex]), we can plug that value in for "m": y = [tex]\frac{1}{2} x[/tex] + bSince the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y = [tex]\frac{1}{2} x[/tex] - 3And there's your answer: y = [tex]\frac{1}{2} x[/tex]-3Which value of x makes this inequality true?
X + 9 < 4x
We want to get out x's together on the right side of the inequality.
So, subtract x from both sides to get 9 < 3x.
Now divide both sides by 3 and we get 3 < x.
I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.
So we can rewrite this as x > 3.
f(x)=(x-3)^2+5 plot the vertex and the axis of symmetry of this function.
Answer:
The vertex is located at (3,5)
The axis of symmetry is x = 3
The plot is in the image attached
Step-by-step explanation:
First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:
x_v = -b / 2a
Where 'a' and 'b' are coefficients of the quadratic equation in the model:
ax^2 + bx + c = 0
Then we need to expand the terms of f(x):
f(x) = (x-3)^2 + 5
f(x) = x^2 - 6x + 9 + 5
f(x) = x^2 - 6x + 14
So we have a = 1 and b = -6
Then the x-coordinate of the vertex is:
x_v = 6 / 2 = 3
We can use this value in f(x) to find the y-coordinate of the vertex:
f(x_v) = 3^2 - 6*3 + 14 = 5
So the vertex is located at (3,5)
The axis of symmetry is the vertical line traced in the vertex, so it is x = 3
The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.
A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way around one time,the bicycle travels 198 centimeters. How can this information be used to estimate the value of
Divide the distance traveled by the wheel to guess the value or estimate the value of π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
Given
Height of the wheel = 198
Perimeter of the wheel = 63
Height of the wheel is the diameter of the circle
Perimeter of the circle is π × diameter of the circle
P = [tex]\pi[/tex] × d
198 = [tex]\pi[/tex] × 63
[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]
[tex]\pi[/tex] = 3.14
Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.
Learn more about circle here
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at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school
Answer:
1240 (I'm not so sure but per my calculation that is what i got)
Step-by-step explanation:
Boy : Girl
11 : 9
124 + x : x
11/9 = 124 + x / x
9(124 + x) = 11 x
1116 + 9x = 11x
1116 = 11x - 9x
1116 = 2x
x = 558
Thus, there are 558 girls in the school
Number of boys = 124 + x
= 124 + 558
= 682
Therefore, total number of students = 558 + 682 = 1240 students
Work out
3/4 times 1/2
Answer:
[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%.
Answer:
Upper P99 = 17 in.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 14.2, \sigma = 1.2[/tex]
Upper P99
This is X when Z has a pvalue of 0.99. So X when Z = 2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]
[tex]X - 14.2 = 1.2*2.327[/tex]
[tex]X = 17[/tex]
So
Upper P99 = 17 in.
classify the following triangle check all that apply
A.Isosceles
B.Scalene
C.Right
D.Obtuse
E.Acute
F.Equilateral
Answer:
c.Right
Step-by-step explanation:
because of the 90 degrees it shows that it is 90 degrees
Answer:
B. scalene
C. right
Step-by-step explanation:
Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!
Answer:
smaller x = -5
larger x = 5
Step-by-step explanation:
-x^2 - 8 = -33
Add 8 to each side
-x^2 - 8+8 = -33+8
-x^2 = -25
divide each side by -1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
x = -5, x = 5
Answer:
[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]
Step-by-step explanation:
[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?
A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m
Answer:
the ladder is “c2” 15 X 15 =225
9 feet out is still squared to 81.
So c2 (225) - b2 (81) is 144 (a2)
Sqrt of 144 is 12. The ladder will be 12′ up the wall.
Answer: 12m
Step-by-step explanation:
P.S I'm emo
Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?
Answer:
824/360 or 824:360
Step-by-step explanation:
quick mafs
Answer:824/360,p or 824:360 or 824 to 360
Solve: 2x – 3 = 5(x + 6)
Answer:
-11 =x
Step-by-step explanation:
2x – 3 = 5(x + 6)
Distribute
2x -3 = 5x + 30
Subtract 2x from each side
2x -3 -2x = 5x -2x +30
-3 =3x +30
Subtract 30 from each side
-3-30 =3x+30-30
-33 = 3x
Divide by 3
-33/3 = 3x/3
-11 =x
Answer:
x=(-11)
Step-by-step explanation:
2x - 3=5(x+6)
2x - 3 = 5x + 30
+3 +3
2x = 5x + 33
-5x -5x
-3x = 33
(divide both sides by -3)
x=(-11)
Which point on the graph represents the y-intercept?
Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?
Answer:
215$ in profit
Step-by-step explanation:
So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.
Which expressions are equivalent to
z + (z + 6)?
Choose all answers that apply:
А
(z + 2) + (z + 6)
B
(z + 6) + 6
C
202
z + 3)
The answers are C, and/or A.
I'm not entirely sure, I apologize..
El triple de la cuarta parte de un número es 18. ¿Cuál es este número?
a)24
b)72
c)48
d)12
e)6
Answer:
e) 6
Step-by-step explanation:
18 divided by 3 equals 6
Simplify the Algebraic Expressions Problems 15 - 19.
15. 7c + 8d + 2c + 17d =
16. 4(2m - 3p) + 12m + 7p =
17. (15j +9z) - (12j + 6z) =
18. 3y + 6.7x + y + 2.3x +10 - 7 =
19. 2b + (-6c) +5e - 11b + e+ 6c =
Answer: The answers are provided below
Step-by-step explanation:
15. 7c + 8d + 2c + 17d
= 7c + 2c + 8d + 17d
= 9c + 25d
16. 4(2m - 3p) + 12m + 7p
= 8m - 12p + 12m + 7p
= 8m + 12m -12p + 7p
= 20m - 5p
17. (15j +9z) - (12j + 6z)
= 15j - 12j + 9z + 6x
= 3j + 15z
18. 3y + 6.7x + y + 2.3x +10 - 7
= 6.7x + 2.3x + 3y + y + 10 - 7
= 9x + 4y + 3
19. 2b + (-6c) +5e - 11b + e+ 6c
= 2b - 11b - 6c + 6c + 5e + e
= -9b + 6e
I need the answer for this and how you got it please!!!
Answer:
Correct answer is B.
Step-by-step explanation:
They are equal.
Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2 D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, B. 10 is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of all real numbers.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
32 polo, 28 measles
Step-by-step explanation:
4p + 2m = 184 <-- doses
p + m = 60 <-- vaccines
solve:
4p + 2m = 184
-2p - 2m = -120 <-- multiplied both sides by -2
------------------------
2p = 64
p = 32
plug back in:
32 + m = 60
p = 32
m = 28
The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?
Answer:
Boys = 4/9
Girls = 5/9
Step-by-step explanation:
You add the ratio parts to find what the fraction is over.
5 + 4 = 9
Then you just need to know which part is boys and which is girls.
Boys to Girls = 4:5
Therefore Boys = 4/9 and Girls = 5/9.
Fraction of the class are boys = 4/9
Fraction of the class are girls = 5/9
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given:
ratio of boys to girls = 4:5
Now, total of the ratio is = 4+5 = 9
So, fraction of the class are boys = 4/9
and, fraction of the class are girls= 5/9
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One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?
Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex] ...(i)
We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-
[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex] ...(ii)
On comparing (i) with (ii) , we get
[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]
i.e.
[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]
Hence, the value of m is 29.