Answer:
2
Step-by-step explanation:
......... . ........ .......
Simplify the following square roots:
[tex]\sqrt{32}[/tex]
[tex]\sqrt{28}[/tex]
[tex]\sqrt{12}[/tex]
Answer:
Sqrt32 = 4[tex]\sqrt{2}[/tex], Sqrt28 = 2[tex]\sqrt{7}[/tex], Sqrt12 = 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Square root of 32:
First we find the prime factors of the number by making a factor tree.
32 splits into 8 and 4.
8 splits into 4 and 2
4 splits into 2 and 2
4 splits into 2 and 2
This becomes the square root of [tex]2^{2}[/tex] x [tex]2^{2}[/tex] x 2. It will simplify to:
4[tex]\sqrt{2}[/tex]
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2[tex]\sqrt{7}[/tex]
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2[tex]\sqrt{3}[/tex]
Answer:
They can not be simplified because they are not perfect squares.
find the value of y. this is dud tdy help plss
Answer:
y is B. 82 degrees (and for extra, x is 54 degrees)
Step-by-step explanation:
The angles shown are complementary, which means they equal 180 degrees. Subtract 73 from 180 to get 107 degrees for the other angle in this set. After that subtract 25 from 107 to get y, which is 82 degrees.
(For x, just subtract 19 from 73 to get 54 degrees.)
[9] X is a Gaussian random variable with variance 0.25. The mean of X is estimated by taking the sample mean of independent samples of X. If the mean needs to be estimated within 0.01 from the actual mean with a confidence coefficient of 0.99, find the minimum number of samples needed in the estimation.
Answer:
The minimum number of samples required is [tex]n = 16641 [/tex]
Step-by-step explanation:
From the question we are told that
The variance is [tex]\sigma^2 = 0.25[/tex]
The margin of error is [tex]E = 0.01[/tex]
From the question we are told the confidence coefficient is 0.99 , hence the level of significance is
[tex]\alpha = (1 - 0.99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the standard deviation is
[tex]\sigma =\sqrt{\sigma^2}[/tex]
=> [tex]\sigma =\sqrt{0.25}[/tex]
=> [tex]\sigma =0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{2.58 } * 0.5 }{0.01 } ] ^2[/tex]
=> [tex]n = 16641 [/tex]
What is the equation of the line that passes through the point (-5,0) and has a
slope of 3/5
Quick please
What is the discriminant of the quadratic equation 5x^2-8x+4=0?
WILL MARK BRAINLYEST
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?
Answer:
y - 5 = 6(x - 7)
Step-by-step explanation:
yes
Answer:
[tex]y+1=\frac{6}{11}(x+4)[/tex]
The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)
Hope this helps! :)
This one as well please
Answer:
1/11
Step-by-step explanation:
If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.
There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest
tenth of a centimeter?
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer: 31.9 cm
Step-by-step explanation:
Got it from deltamath so it's right
-2 1/3 - (-5) =
Solve please
Answer:
2 2/3
Step-by-step explanation:
just read the picture and thats the question
Answer:
a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) Antonio is expected to make a profit of 37445.17 in 7 months from now.
Step-by-step explanation:
a) The equation described on statement represents a geometrical progression, which is defined as:
[tex]y = C_{o}\cdot (1+ r)^{x}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in monetary units.
[tex]r[/tex] - Rate, dimensionless. (The progression is increasing when [tex]r > 0[/tex], and decreasing when [tex]-1 < r < 0[/tex])
[tex]x[/tex] - Time, measured in months.
[tex]y[/tex] - Profit, measured in monetary units.
Given that [tex]y = 150,210\cdot (0.82)^{x}[/tex], we calculated the rate below:
[tex]1+r = 0.82[/tex]
[tex]r = 0.82-1[/tex]
[tex]r = -0.18[/tex]
The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) If we know that [tex]x = 7[/tex], then the expected amount for Antonio in 7 months from now is:
[tex]y = 150,210\cdot (0.82)^{7}[/tex]
[tex]y = 37445.17[/tex]
Antonio is expected to make a profit of 37445.17 in 7 months from now.
7 plus twice a number.
Answer:
7+4
Step-by-step explanation:
Answer:
7 + 2x
Step-by-step explanation:
[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?
Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
I need help identifying if it's a cube or square root function
1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if peter shop has 81 plain colored shirts how many more printed shirts than plain shirt
Answer:
Step-by-step explanation:
Let total shirts be x.
Then, Striped shirts = 1/9x
Remaining Shirts= 8/9x
Therefore, Printed Shirts = 5/8 × 8/9x
= 5/9x
Remaining Shirts
or
Plain Shirts= x - ( 5/9x + 1/9x )
= 3/9x
Acc. to problem,
Plain Shirts=81
Therefore,
3/9x=81
=> x=81×9/3
=> x=27×9=243
Therefore,
Total Shirts= 243
I hope that helps you
Answer: 54
It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D
A student put $1,200 in a savings account paying simple interest of 4.5% per year. Find the total amount of the student's savings after 5 years. A: $700. B: $1470. C: $1000. D: $400
Answer:
(B) $1470
Step-by-step explanation:
Given that the principal initial amount, p=$1200
Rate of simple interest per year, r=4.5% = 0.045
Time, t=5 years
Interest after 5 years,
I=prt= 1200 x 0.045 x 5 = 270
Total amount = Principal initial amount + Interest
=1200+270=1470
So, the total amount of the student's savings after 5 years is $1470.
Hence, option (B) is correct.
U
Question 9
10 pts
Solve this system of equations using substitution algebraically. Check your answer using
substitution.
3x + 4y = 36
y= x+8
Answer:
x = 4/7
y = 60/7
Step-by-step explanation:
3x + 4y = 36
y = x + 8
Substitute the second equation into the first since it already has the y isolated for you:
3x + 4(x + 8) = 36
3x + 4x + 32 = 36
7x = 4
x = 4/7
Take the answer you got from the equation above and plug that into the second equation:
y = 4/7 + 8
y = 60/7
To check just LS/RS both equations:
3(4/7) + 4(60/7) = 36
12/7 = 240/7 = 36
252/7 = 36
36 = 36
LS = RS
60/7 = 4/7 + 8
60/7 = 60/7
LS = RS
Is × = 12 a solution to the equation 6 + × 19?
A. no, because 6 + 12 = 19 is not true
B. yes, because 6 + 12 = 19 is true
C. no, because 6 + 12 = 19 is true
D. yes, because 6 + 12 = 19 is not true
an elevator can carry 800 of weight. A football player weighting 280 pounds gets on the elevator with a student. Write and solve an inequality to represent the remaining weight that can be added.
Answer:
[tex]425\geq x[/tex]
425 pounds or less can be added after the student and football player.
Step-by-step explanation:
let x = remaining weight
(note that >/= is greater than or equal to.)
800 - 280 - 95 >/= x
425 >/= x
The answer to the inequality, |3x| < -6, is no solution.
Why isn't there a solution to this inequality? Please explain your thinking.
Answer:
x < -2 and x > 2
Step-by-step explanation:
Given the inequality |3x| < -6
The function inside modulus can take both positive and negative value.
For the positive value;
3x < -6
x < -6/3
x < -2
For the negative value;
-3x < -6
-3x/-3 > -6/-3
x > 2
Hence the solution to the inequality is x < -2 and x > 2
#1 Identify the characteristics of the quadratic graph
Vertex:
у
Axis of symmetry:
Domain:
Range:
Increase Interval:
Decrease Interval:
is it me or are people wilden with inappropriate things today on brainly?
Answer: Man, I agree with u.
Step-by-step explanation:
Answer:
hmm havent noticed
Step-by-step explanation:
ppl are wierd that's why I'm an attack helicopter....
A parallelogram is transformed according to the rule (x, y) - (x. y). Which is another way to state the
transformation?
O R0 90 degrees
O R0 180 degrees
O R0 270 degrees
O R0 360 degrees
if the cost of 2 dozen pens is Rs 600 how much more is the cost of 30 pens
Answer:
Step-by-step explanation:
2dozens= 24
24 pens cost Rs. 600
30 pens cost = (600x30)/24 = 18000/24 = Rs. 750
pls help I will fail 10th grade
Answer:
b
Step-by-step explanation:
Please mark brainiest
which one is the missing proof?
Answer:
By ASA congruence theorem
Step-by-step explanation:
Given:
In ΔFEG AND ΔKHG
FG = KG (Mid points)
∠EGF = ∠HGK (vertical opposite angle)
∠F = ∠K (Interior alternate angle)
So,
ΔFEG ≅ ΔKHG
By ASA congruence theorem
Help I give brain help please
Answer:
x > 3
Step-by-step explanation:
180x > 540
x > 540/180
x > 3
The first equation from the system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = –x, y = 2x + 6 What is the point of intersection? (2, 1) (–1, 2) (0, 6) (–2, 2)
Answer:D
Step-by-step explanation:
just took it on edge
Answer:
The answer is d
Step-by-step explanation:
Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{x}{x^{2} -9} +\frac{9}{x}[/tex]
Answer:
[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]
Step-by-step explanation:
A family is renting an apartment. For 2007, the rent is 1634 per month. The monthly rent for 2007 is 7.5% higher than the monthly rent in 2006. Determine the monthly rent in 2006
Answer:
$1634*.925=$1511.45
Step-by-step explanation:
100%-7.5%=92.5% / 100 = .925 then multiply by the value of 2007 which is $1634... 1634*.925=1511.45