Answer:
[tex]n = 162[/tex]
Step-by-step explanation:
Given
[tex]6\sqrt{2187[/tex]
Required
Determine the order of the surd
If a surd is represented as [tex]n\sqrt{r[/tex], then the order of the surd is [tex]n[/tex]
[tex]6\sqrt{2187[/tex]
Express 2187 as [tex]3^6 * 3[/tex]
[tex]6\sqrt{2187} = 6\sqrt{3^6 * 3}[/tex]
Split the surd
[tex]6\sqrt{2187} = 6\sqrt{3^6} * \sqrt{3}[/tex]
Apply the following law of indices:
[tex]\sqrt{a} = a^{\frac{1}{2}}[/tex]
The expression becomes:
[tex]6\sqrt{2187} = 6 * 3^{\frac{6}{2}} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 3^{3} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 27 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 \sqrt{3}[/tex]
By comparing [tex]162 \sqrt{3}[/tex] to [tex]n\sqrt{r[/tex], we can say that:
[tex]n = 162[/tex]
[tex]r = 3[/tex]
Conclusively, the order of the surd is 162
Find the values of x and y
please help <3
Answer:
x=90 degree
y=30 degree
Step-by-step explanation:
Triangle A is a right triangle. The hypotenuse is 10”. One side is 8”. Find the other side.
12.8. is answer by formula
Find m. Leave answer in simplest radical form.
1
30°
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
delicious Bakery has a monthly budget of D dollars. Every month, it spends $3,080 on employee salaries. 1/4 of the remaining budget is spent on the ingredients. Which function can be used to find the amount, in dollars, spent on ingredients each month?
Answer:
yellow
Step-by-step explanation:
Mary Catherine makes 2 gallons of punch for her party. How many pints of punch did she make?
the answer is below :D hope u do good!
Step-by-step explanation:
answer is 32! trust me
on Monday the high was 60 degrees Fahrenheit on Tuesday the high was 18% more how much did the high increase from Monday to Tuesday
Answer:
10.8 deg
Step-by-step explanation:
18% of 60 = 0.18 * 60 = 10.8
The high increased 10.8 deg
Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.
Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
What value of x makes this equation true? 12x - 15 = 6 - 3x
Answer:
12x - 15 = 6 -3x (add 3x to both sides)
15x - 15 =6 (add 15 to both sides)
15x= 21 (divide both sides by 15 to get x alone)
x= 1.4 (the answer)
Answer:
1.4
Step-by-step explanation:
Solve 2x+3y=6 for y
Answers listed:
y=-2/3x+2
y=2/3x-2
y=2x-3
y=2x+6
Please help and give details!
Answer:
D
Step-by-step explanation:
Garret paid 20$ for five movie tickets find the cost per ticket
Megan paid 22$ for 7 books determine the cost per book
Answer:
Step-by-step explanation:
Cost of a ticket = Total cost ÷ number of tickets
= 20 ÷ 5
= $ 4
2) Cost of 7 books = $ 22
Cost of a book = 22 ÷ 7
= $ 3.11
Answer:
4 dollars each for 1st question and 3.1 dollars for second question
answer correctly please i will give you BL
Answer:
it will take 3 week to raise the height of 120 inch
Answer:
You need around 4 weeks to grow to 120 inches.
Step-by-step explanation:
A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x
Answer:
The sum of the two digits integers which divide 109 with a remainder of 4 is 71
Step-by-step explanation:
The given parameters are;
109/x = Q + 4/x
Therefore, we have;
109 = Q·x + 4
∴ Q·x = 109 - 4 = 105
x = 105/Q
Therefore, x is a factor of 105
The possible two digits integers which x represents includes the two digit factors of 105 which are;
15, 21, and 35
Which gives;
15 × 7 = 105
21 × 5 = 105
35 × 3 = 105
The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.
ill mark brainliest god bless
Answer:
C. m = -8
I hope this helps!
Answer:
Slope is -8
Step-by-step explanation:
2 - y = 8x
- y = 8x - 2
-y/-1 = 8x/-1 - 2/-1
y = -8x + 2
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
Help me find the area please!
Answer:
787.5
Step-by-step explanation:
Givens
The bottom part of the figure is a trapezoid. Solve it first
a = 15 cm
b = 34 cm
h = 19 cm
Formula
Area = 1/2 (a + b)*h
Solution Trapezoid
area = 1/2 (15 + 34)*19
Area = 1/2 * 49 * 19
Area = 465.5
Remark
The top half of the figure is a parallelogram.
Formula
Area = base * height
Givens
base = 23
height = 14
Solution
Area = 23 * 14
Area = 322
Total Area
Total Area = 322 + 465.5
Total Area = 787.5
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
A). -12
B). -1
C). 5
D). 7
Answer:
Option (B) is the correct answer.
Step-by-step explanation:
Let 'x' the starting point be
She walks down 2 flights to visit a friend.
so walking down means we need to add 2 units to the starting point x
[tex]x+2[/tex]
Then he walks up 3 flights to deliver a message to a neighbor.
now subtracting 3 units from (x+2)
[tex]x + 2 - 3 = -1[/tex]
x = -1 means now he is UP to 1 point where he started his flight.
Thus, he needs to walk down 1 more flight to reach her starting point
Thus, -1 is the number of flights Brandie must walk to get back to her starting point.
Therefore, option (B) is the correct answer.
Fossil fuels produce a higher percentage of the energy in the U.S. than renewable resources because fossil fuels produce far less pollution.
true or false?
Answer:
false
Step-by-step explanation:
fossil fuels are hard to come by, and take a very long time to get back, I dont know about energy, but there is far more pollution than using energy from water or air
What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6
O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)
Answer:
O (8, -6)
Step-by-step explanation:
brainiest plz
Answer:
(-6,8)
Step-by-step explanation:
Have a good day
what is the answer?
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
Plzzzz helppppp meeeeee
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
Help Please <3
Brainly!!!
Answer:
I think question 11 is 115?
Step-by-step explanation: Tell me if im wrong
Answer:
352 for number 10
Step-by-step explanation:
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
https://brainly.com/question/21308855
Whats the error in this problem 19 - 2k = 3k - 1
+ 3k + 3k
19 + 1k - 1
- 19
- 19
k = - 20
Step-by-step explanation:
Just collect like terms. Follow the +ve and _ve signs as they go over the equation sign where they then become an inverse of themselves and use the signs to work
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x
9514 1404 393
Answer:
(a) f(x) = 85(1 – 0.25)^x
Step-by-step explanation:
The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.
Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x
The value is the initial value times this multiplier:
f(x) = 85(1 -0.25)^x . . . . matches the first choice
The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.
After the second owner, it will be 75% of 75% (or 56.25%) of the original value.
Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.
Using this information, we can write the function f(x) as:
f(x) = 85 (0.75)ˣ
f(x) = 85(1 - 0.25)ˣ
where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.
Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.
To learn more about the exponential decay;
https://brainly.com/question/14344314
#SPJ7
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points) Group of answer choices Fraction 5 over 7 unit 1 unit 1 Fraction 3 over 7 units 2 Fraction 5 over 7 units
Given:
Length of the rectangle = [tex]\dfrac{2}{7}[/tex] units
Width of the rectangle = [tex]\dfrac{3}{7}[/tex] units.
To find:
The perimeter of the rectangle.
Solution:
We know that,
Perimeter of a rectangle = 2( l + w )
where, l is length and w is width.
Using the above formula, the perimeter of the rectangle is
[tex]P=2(\dfrac{2}{7}+\dfrac{3}{7})[/tex]
[tex]P=2(\dfrac{5}{7})[/tex]
[tex]P=\dfrac{10}{7}[/tex]
[tex]P=1\dfrac{3}{7}[/tex]
The perimeter is [tex]1\dfrac{3}{7}[/tex] units.
Therefore, the correct option is C.
Answer: for short its c have a good day ! :)
Step-by-step explanation:
PLEASE HELP!!!
Use linear equation to calculate intercepts.
x - 1/2y=-4
complete the table with values for a and b.
a=
b=
Answer: a=8 b=-4
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?
Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^
(Please don't answer with anything random just for the points)
Answer:
Factored Form: f(x) = (x-7)(x-4)
Roots: x=7, x=4
Step-by-step explanation:
What we can do here is break the given expression into groups;
x^2-11x+28 ---> break the expression into groups
(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x
x(x-4) + (-7x +28) ---> factor - 7 from -7x +28
x(x-4) -7(x-4) ---> combine
(x-7)(x-4)
so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4
Answer:
ñanamaisañia thanks for points
formula of paremeter
Answer:
The formula for the perimeter of a rectangle is P = 2l + 2w
Step-by-step explanation:
Step-by-step explanation:
2 (l + b)
yes this may help you this is formula of perimeter