Answer:
2\sqrt2
Step-by-step explanation:
a=5-2√6 ...(1)
[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]
[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]
Shirley buys fiction books for $20 each, and then marks up by 25% to
resell. What is the markup in dollars?
Answer:
$5
Step-by-step explanation:
Find the markup by finding 25% of 20:
20(0.25)
= 5
So, the markup is $5
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
Please help due very soon!!!!
Answer:
[tex]51 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
3*3=9 in.
Triangles(4):
[tex]3*7*\frac{1}{2}=10.5[/tex]
Multiply by 4.
[tex]10.5*4=42[/tex]
42 in
Add 9 and 42 together. You get
[tex]51 in^{2}[/tex]
Answer:
51 [tex]sq^{2}[/tex]
Step-by-step explanation:
(3*3) + 4(1.5 * 7)
9 * 42 = 51 [tex]sq^{2}[/tex]
Please help me I don’t understand I have been working on this question for 14 minutes!!!m
Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
Answer:
x=11
B=80
Step-by-step explanation:
8x-8=5x+25
3x=33
x=11
B=5(11)+25
B=80
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
Someone please help me out
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)( {x}^{2} - 1)[/tex]
Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an = 5+ (n-1)2?
Answer:
[tex]a_1 = 5[/tex]
[tex]a_n = a_{n-1} + 2[/tex]
Step-by-step explanation:
Given
[tex]a_n = 5 + (n - 1)2[/tex]
Required
The equivalent recursive function
The general explicit function is:
[tex]a_n = a_1+ (n - 1)d[/tex]
So, by comparison
[tex]a_1 = 5[/tex]
[tex]d = 2[/tex]
The recursion of an arithmetic sequence is:
[tex]a_n = a_{n-1} + d[/tex]
Substitute 2 for d
[tex]a_n = a_{n-1} + 2[/tex]
Hence: (a) is correct
Need help on this question asap pleasee
Answer:
I believe its the 1st answer.
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
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 14.3 in. And a standard deviation of 0.9 in. Find p99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is p99= how many inches
Answer:
p99 = 16.4 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.
This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]
Find p99.
This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]
[tex]X - 14.3 = 0.9*2.327[/tex]
[tex]X = 16.4[/tex]
So
p99 = 16.4 inches
please I need answer right now pleasssseee
only C
C. -3×(-2/3)²
Answer:
-4/3
Step-by-step explanation:
-3 x (-2/3)²
= -3 x (4/9)
= -4/3
In a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Step-by-step explanation:
let wrong answers be y
let right answer be x
3x-1y=79
find another equation
5/8 divided by 8 please help man I will give the brainly thing \y
Answer:
5/64
Step-by-step explanation:
5/8 : 8 = 5/8 * 1/8 = 5/64
Answer:
12 4/5
Step-by-step explanation:
simplified
The owner of a house worth $72,000 pays $2,000 in taxes. At this rate, how much will
the taxes be on a house worth $54,000
Answer:
I think 1500 but u may need some else to be sure
Solve. Algebra 1
14=4-6x-2
Answer:
Step-by-step explanation:
resolver. Álgebra 1
14=4-6x-2
4-6x-2 : 2
Rpta: 2
solve the following simultaneous linear equations by the substitution method.
2p + 3q = 10
p - 2q = -2
Answer:
p = 2 and q = 2
Step-by-step explanation:
hope this helps please like and mark as brainliest
Find the greatest common factor of the
following monomials:
12a^2, 32a^3
Answer:
4a^2
Step-by-step explanation:
GCF of 12 and 32 is 4.
GCF of a^3 and a^2 is a^2.
Therefore, the answer is 4a^2.
It takes 20 minutes to fill a wading pool. The pool has developed a leak through which it will empty in 30 minutes.
If the hole is not fixed, how long will it take to fill the wading pool?
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Look at image for reference
Answer:
(3)11
Step-by-step explanation:
We are given that
[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]
We have to find the sum of positive roots of the equation.
[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]
[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]
[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]
[tex]x^4-2x^3-61x^2+62x+336=0[/tex]
Factor of 336
2,3,4,6,8,7,
Let x=2
[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]
x=2 is not the root of equation
x=-2
[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]
Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3
[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]
Therefore, x=3 is the root of equation.
[tex](x+2)(x-3)(x^2-x-56)=0[/tex]
[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]
[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]
[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]
[tex]x-8=0\implies x=8[/tex]
[tex]x+7=0\implies x=-7[/tex]
Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?
Answer:
3x + (x/2) *2
Step-by-step explanation:
The distance for the first 3 hours is rate times time
x *3
The distance for the next 2 hours is rate times time
x/2 *2
Add them together to get the total distance
3x + (x/2) *2
due in an hour! hour
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
( 1 , 2 )
Step-by-step explanation:
x + 4y = 9
x = 9 - 4y .... ( 1)
2x - 4y = -6 ...( 2)
substitute the 9 - 4y as x in the second equation
2( 9 - 4y ) - 4y = -6
distribute 2
18 - 8y - 4y = -6
combine like terms
18 - 12y = -6
Subtract 18 from both sides
18 - 18 - 12y = -6 - 18
- 12y = - 24
divide both sides by -12
-12y / -12 = -24/-12
y = 2
Now , substitute the 2 as y in the second equation
2x - 4y = -6
2x - 4 ( 2 ) = -6
2x - 8 = -6
add 8 to both sides
2x - 8 + 8 = -6 + 8
2x = 2
divide both sides by 2
2x / 2 = 2/2
x = 1.
Cláudio pode ir de sua casa a escola andando três km para o Norte, 2 para o oeste, um para o sul, quatro para o leste e, finalmente, 2 para o sul ponto para ir de sua casa a escola em linha reta, Cláudio deve andar: a) 1 km para o sul b) 2 Km para o leste c) 3 km para o oeste d) 4 km para o Norte e) 5 km para o leste
Answer:
b) 2 Km para o leste
Step-by-step explanation:
1. 2 km N
2. 2 km W
3. 1 km S
4. 4 km E
5. 2 km S
Sul e Norte:
(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0
Este e Oeste:
(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E
Veja imagem abaixo.
PLEASE HELP
1. what’s 7n +9+8(2n+5)-4=
2. 7n+9+8n+5-4n=
3. 7(a+3)-3a+2=
PLEASE HELP
Answer:
1)duno
2)duno
3)duno
Step-by-step explanation:
glad i can help hahahaahhaa
What is the slope and y-intercept of the following equation:
= − 23 − 1
(show work pls)
Answer:
The slope is -2/3 and the y-intercept is -1.
Step-by-step explanation:
In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.
For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.
Please help me with this
Answer:
x = 23
Step-by-step explanation:
if line j is parallel to line k then
5x + 9 + 33 + x = 180 add like terms
6x + 42 = 180 subtract 42 from both sides
6x = 138 divide both sides by 6
x = 23
what is the missing reason in the proof?
Maths assignment
( x+y,x-y)=(3,1)
Step-by-step explanation:
I hope this will help you
What is the mean from the frequency conceded goals frequency 0 2 1 8 2 4 3 10 4 6
Answer:
Mean = 2.33
Step-by-step explanation:
Given that,
conceded goals : 0 1 2 3 4
Frequency : 2 8 4 10 6
Mean,
[tex]M=\dfrac{\Sigma fx}{\Sigma f}\\\\M=\dfrac{0\times 2+1\times 8+2\times 4+3\times 10+4\times 6}{2+8+4+10+6}\\\\=\dfrac{70}{30}\\\\M=2.33[/tex]
So, the required mean is 2.33.
I need some one to help me!!
Is (7, 0) a solution to the equation y = x − 7?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCoordinates (x, y)
Step-by-step explanation:
Step 1: Define
Identify
Point (7, 0)
Equation y = x - 7
Step 2: Find
Substitute in point [Equation]: 0 = 7 - 7Subtract: 0 = 0Since 0 = 0 is true, then it would be a solution to the equation.
find the slope of the line 3x-5y =0
Answer:
slope= ⅗
Step-by-step explanation:
Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.
3x- 5y= 0
+5y on both sides of the equation:
5y= 3x
Divide both sides by 5:
y= ⅗x
From the coefficient of x, the slope of the line is ⅗.
