Answer:
(5√12)/12
Step-by-step explanation:
In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.
[tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]
Ayuda por favor/Help please
X=2
El mejor programa para que te ayuda es Math,
way
There are 32 students in the class. They are separated into groups of five and one group of seven. How many, g groups of five were there?
Answer:
5 groups of 5
Step-by-step explanation:
No. of students = 32
No. of students in each group = 5
No. of students in ONE group = 7
No. of groups of 5 = 32 - 7
= 25
= 25/5 = 5
Help me please!!!!!!!!!!!!!!!
Answer:
(5/6), -(5/6)
Step-by-step explanation:
See attached image
what percent of 33 is 25? round your answer to the nearest tenth
Answer:
8
Step-by-step explanation:
multiply 25% by 33
25/100 × 33
= 8.25
rounded off = 8
The solution is 75.75 %
The number 25 is 75.75 percentage of 33
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage be represented as A
Now , the value of A is given by the equation
A % of 33 = 25
So , substituting the values in the equation , we get
( A / 100 ) x 33 = 25
Multiply by 100 on both sides of the equation , we get
33A = 2500
Divide by 33 on both sides of the equation , we get
A = 2500/33
The value of A = 75.75 %
Therefore , the value of A is 75.75 %
Hence , the number 25 is 75.75 % of 33
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four interior angles of a hexagon are 114degree,130degree,140degree and 96degree. Find the size of each of the remaining two angles, if one of them is three times the other
Answer:
60° and 180°
Step-by-step explanation:
Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)
A hexagon has 6 sides
⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°
Let x = smallest unknown angle
Therefore, 3x = largest unknown angle
Sum the angles and solve for x:
⇒ 114° + 130° + 140° + 96° + x + 3x = 720°
⇒ 480° + 4x = 720°
⇒ 4x = 720° - 480°
⇒ 4x = 240°
⇒ x = 60°
Therefore, smallest unknown angle = 60°
and largest unknown angle = 3 × 60° = 180°
I need the answer to #1
Answer:
Infinity
Step-by-step explanation:
Topic: Fraction and relations:
Your domain (Input to a fraction, usually known as your "x") can be any Real number.
But, when you are dealing with a fraction or even square roots you have to be careful because:
You cannot have a ZERO as your denominator and you cannot have NEGATIVE number inside of the square root.
The 2 problems can have infinite solution because it is not a fraction or square root problem and it doesn't break the 2 rules mentioned above.
Find the equation of the line with Slope = 6 and passing through (5,38). Write your equation in the form y =mx+b
Hello.
We have:
A point that the line passes throughThe slope of the linePlug the values into the Point-Slope Formula:
[tex]\mathrm{y-y_1=m(x-x_1)}[/tex]
[tex]\mathrm{y-38=6(x-5)}[/tex]
[tex]\mathrm{y-38=6x-30}[/tex]
[tex]\mathrm{y=6x-30+38}[/tex]
[tex]\Large\boxed{\sf{ \ y=6x+8}}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Find the formula for the n^th term of the sequence whose first few terms are -3,0,5,12,21,32,
Answer:
77 is the ninth term.
Step-by-step explanation:
You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.
Draw the polygon with the given vertices in a coordinate plane.
(3,2),(4,7),(6,0)
Answer:
here is the answer
Step-by-step explanation:
happy ro help u
rotate figure jklm 180 degrees around the origin
After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.
How to perform the rotation?A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.
Such that the point (x, y) will be transformed into (-x, -y).
The original coordinates of the vertices of our figure are:
J (-4, 4)K (-1, 4)M (-4, 2)L (-1, 2)Then the image after the transformation is:
J' (4, -4)K' (1, -4)M' (4, -2)L' (1, -2)The graph can be seen below.
If you want to learn more about rotations, you can read:
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What best describes the expression y over 4
Answer:
y/4
Step-by-step explanation:
b/c y is divided 4 so,y/4.
Answer:
the number y divided by 4
Step-by-step explanation:
You’d have to solve for y but it’s still the same thing
HELp Find k if 64 ÷ k = 4.
Answer:
K = 16
Step-by-step explanation:
64 / 4 = 16
64 / 16 = 4
Answer:
k = 16
Step-by-step explanation:
Find k if 64 ÷ k = 4
64 / k = 4
64 / 4 = k
k = 16
Answer please :(
Solve for the missing angles
1:
2:
3:
4:
In the poem below, the personification of TIME at the end of the following poem conveys that:??? (ANSWER FOR A LOT Of POINTS)
Answer:
I really can't tell what it is.
Step-by-step explanation:
I think its the last one
A large random sample was taken of body temperatures of women at a university. The data from the sample were normally distributed with a mean body temperature of
98.52°F and a standard deviation of 0.727°F. Based on this sample, which percentage is the best estimate of the proportion of all women at this university who have a body
temperature more than 2 standard deviations above the mean?
O 0.30%
O 2.28%
72.70%
O 97.72%
The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.
Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.
The normal distribution
Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.
Percentage below 2 standard deviations away from mean
So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.
Percentage above 2 standard deviations away from meanSo, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %
Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.
So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.
Learn more about normal distribution here:
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The diameter of a circle is 17 in .find the cirumference to the nearest tenth
How long is the movie adaptation of The Two Towers in hours and minutes? A 2 h, 13 min B 2 h, 31 min C 2 h, 59 min D 3 h, 21 min
Answer:
C is your answer, the extended version.
Step-by-step explanation:
Siri.
Really need help on this
Answer:
x = 3, x = 1
Step-by-step explanation:
Okay, let's set the equation = 0:
3x^2 -12x + 9 = 0
Then, we factorise. To do this, we have to find 2 numbers which have a product of 9 and add up to -12. There are a few ways to do this, but a simple try and error is the easier when using numbers which don't have many factors. So here we know that to get a product of 9, there are only 2 options: 9*1 and 3*3. Now we have to figure out which of these add up to -12. But to do this, we have to take into account the 3, from the x^2 coefficient. This allows to know that the numbers will be 9*1. Then we just need to change the signs to make it work. This would give: -9*-1 (with 3*-1).
The fully factorised equation would be (3x-9)(x-1). Following this, you can always expand it quickly, to check that it really works correctly.
Now let's solve. (3x-9)(x-1) = 0
We say that when two numbers multiplied by each other equal to zero, one of them has to be zero. So if (3x - 9) was equal to 0:
3x - 9 = 0
3x = 9
x = 9/3
x = 3/1
x = 3
Now for the other:
x - 1 = 0
x = 1
the area of a triangle is 30ft² select Yes or No to tell if the dimensions could be the height and base of the triangle.
h=5ft, b=6ft Yes No
h=5ft, b=12ft Yes No
h=6ft, b=10ft yes no
h=6 ft, b=20ft yes no PLEASE HELP
Answer: No, Yes, Yes, No (in order)
Step-by-step explanation:
The area of a triangle is equal to the base*height/2.
The first choice:
Area = 6 ft * 5 ft/2
Area = 30 ft^2/2
Area = 15 ft^2
Therefore, this choice is not correct
The second choice:
Area = 12 ft * 5 ft/2
Area = 60 ft^2/2
Area = 30 ft^2
Therefore, this choice is correct
The third choice:
Area = 10 ft * 6 ft/2
Area = 60 ft^2/2
Area = 30 ft^2
Therefore, this choice is correct
The fourth choice:
Area = 20 ft * 6 ft/2
Area = 120 ft^2/2
Area = 60 ft^2
Therefore, this choice is not correct
It took Kennedy 55. 456 seconds to find all the marshmallows in her Lucky Charms. It only took Larkin 43. 67 to do the same thing. How much faster did Larkin find his marshmallows?
Answer: 11.786
Step-by-step explanation:
Well the key words here are how much faster, meaning you need to subtract so 55.456-43.67 is 11.786
−5 < y ≤ 0
y is an integer.
(b) Write down all the possible values of y.
Answer should be in the form of a3 + b3
Answer:
Question:
[tex]\textsf{factor : \ } x^4+\dfrac{1}{x^2}[/tex]
Rewrite the expression using the exponent rule [tex]\dfrac{a^b}{a^c}=a^{(b-c)}[/tex]
[tex]\implies x^4+\dfrac{1}{x^2}=\dfrac{x^6}{x^2}+\dfrac{1}{x^2}[/tex]
Factor out common term [tex]\dfrac{1}{x^2}[/tex] :
[tex]\implies \dfrac{1}{x^2}(x^6+1)}[/tex]
Factor [tex](x^6+1)[/tex]:
Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] to get cubic exponents:
[tex]\implies x^6+1 = (x^2)^3+1^3[/tex]
Apply the sum of cubes formula: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
where [tex]a=x^2[/tex] and [tex]b=1[/tex]:
[tex]\implies (x^2)^3+1^3=(x^2+1)((x^2)^2-x^2 \cdot 1+1^2)[/tex]
[tex]\implies (x^2+1)(x^4-x^2+1)[/tex]
Therefore,
[tex]\implies \dfrac{1}{x^2}(x^6+1)}=\dfrac{1}{x^2}(x^2+1)(x^4-x^2+1)[/tex]
Simplify by dividing the 2nd parentheses by [tex]x^2[/tex]:
[tex]\implies (x^2+1)\left(\dfrac{x^4-x^2+1}{x^2}\right)[/tex]
[tex]\implies (x^2+1)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]
Factor out [tex]x[/tex] from first parentheses:
[tex]\implies x\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]
Steve is using the completing the square method to solve a quadratic equation. His first 2 steps are shown.
Given: 2x2 + 32x + 16 = 0
Step 1: 2? + 16x +8 = 0
Step 2: ? + 160 = -8
Write numbers in each box to correctly complete the square in Step 3.
Step 3: x2 + 16x+ ____=____
We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex] by 64 on both sides.
How to apply the completing the square method to solve a quadratic equationIn this question we must apply the completing the square method to solve a quadratic equation, which consists in apply algebra properties to reduce part of a expression into a square perfect trinomial.
According to the step 2, we have the following expression:
[tex]x^{2}+16\cdot x = -8[/tex] (1)
By applying the principle of compatibility with addition and definition of addition, we have the following expression:
[tex]x^{2}+16\cdot x + 64 = - 8 + 64[/tex]
[tex]x^{2}+16\cdot x +64 = 56[/tex]
Now we proceed to solve the given expression:
[tex](x+8)^{2} = 56[/tex]
[tex]x+8 = \pm 2\sqrt{14}[/tex]
[tex]x = -8 \pm 2\sqrt{14}[/tex]
We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex] by 64 on both sides. [tex]\blacksquare[/tex]
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016
HELP WILL NAME BRAINLIEST
Simplify,
Remove all perfect squares from inside the square root.
V108
Answer:
6sqroot(3)
Step-by-step explanation:
see image.
Is anyone willing to do a whole study island?
Answer:
yes , I am bore , I have exam next week
Every angle in the polygon is a right angle. The area of the polygon is 426 in2. What is the length of the left side of the polygon? Show your work. help fast due in a few hours
Answer:
31 in
Step-by-step explanation:
First let's split the bottom part of the L in two parts of 19 and [tex]26-19=7 in[/tex] each. Now the whole area is made of two rectangles of sides [tex]19\times11[/tex] and [tex]7\times h[/tex],where h is the length of the left side. These two have to add up to 426 so
[tex]19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31[/tex]
how many square feet of out door carpet will we need for this hole
Answer: Outdoor carpet should measure 30 square feet to cover the hole.
Step-by-step explanation:
Given:
Level 1 : Length = 5 ft ; Width = 2 ft
Level 2 : Length = 6 ft ; Width = 2 ft
Level 3 : Length = 4 ft ; Width = 2 ft
Area = L x W
Level 1 = 5 ft * 2 ft = 10 ft²
Level 2 = 6 ft * 2 ft = 12 ft²
Level 3 = 4 ft * 2 ft = 8 ft²
Total Area 30 ft²
What is the value of x? (5 points) 2x
Answer:
It depends on what the equation equals
Step-by-step explanation:
2x=1 x=.5 or 1/2
2x=2 x=1
2x=14 x=7
2x=102 x=51
(x+6)(x-6)
find the:
vertex
vertex form
standard form
y intercept