[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]
What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?
Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
(2x³ - 8x) is the volume of a rectangular prism.
What is volume?
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)
Volume: L x B x H
= (2x) × (x - 2)(x + 2)
= (2x) × (x² - 4)
= 2x(x² - 4)
= 2x³ - 8x units³
Hence, 2x³ - 8x units³ is the volume of a rectangular prism.
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What is the solution to this inequality?
−15x>75
x<−5
x>−5
x≥−5
x≤−5
Answer:
x < -5 (the first option)
Step-by-step explanation:
I hope this helps!
The solution of the inequality will be;
⇒ x < - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 15x > 75
Now,
Since, The inequality is,
⇒ - 15x > 75
Hence, The solution of the inequality is,
⇒ - 15x > 75
⇒ - x > 75/15
⇒ - x > 5
⇒ x < - 5
Thus, The solution of the inequality is,
⇒ x < - 5
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Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared? 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 16 2 log Subscript 5 Baseline x 2 log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4.
The required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
Given expression,
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We have to find the Equivalent fraction of [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We know that from the properties of logarithm, the following identities
[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)
[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)
Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)
Again using 2 identity, we get
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]
Hence the required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
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Answer:
C on edge
Step-by-step explanation:
help please! a is wrong, that was my initial answer.
Answer:
D -1
Step-by-step explanation:
[tex]-6(3a+4)=3a-3[/tex]
[tex]-18a-24=3a-3[/tex]
[tex]-18a-3a=-3+24[/tex]
[tex]-21a=21[/tex]
a = [tex]\frac{21}{-21} =-1[/tex]
Hope this helps
8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
First of all, we should add 34 and 32:
34+32=66
Now, let's divide both sides by 9:
66÷9=7.3333...
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]
subtracting 24 is the inverse of
Answer:
The inverse of subtracting 24 is adding 24.
Step-by-step explanation:
The inverse of subtraction is addition.
- 3m + 7 - 2n
Can I get the answer
Answer:
3m + 5
Step-by-step explanation:
uhmm i think 2n is i cant solve here hope it helps
use the mutipler method to increase £88 by 14%
Answer:
£100.32
Step-by-step explanation:
An increase of 14% on the original amount (100%) is
100 + 14 = 114% = [tex]\frac{114}{100}[/tex] = 1.14 , then
£88 × 1.14 = £100.32
Does anyone know how to answer?
Answer:
A, D, F
Step-by-step explanation:
It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.
The values that show up on the reflected graph are ...
(-7, -10.206)
(0.5, -0.221)
(9, -0.003)
Anyone know how to solve 28?
Answer:
i need help too
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
x = - 3 is a vertical line parallel to the y- axis.
A line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (6, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of perpendicular line
The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.
Answer
The armadillo and Glyptodon descended from a common ancestor.
Step-by-step explanation:
round 0.006772 to 1 significant figure
Answer:
[tex]0.007[/tex]
Step-by-step explanation:
Round to the required significant figure:
[tex]0.007[/tex]
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
Solve the inequality . Graph solution . 1/5 > d+ 4/5
Answer:
B
Step-by-step explanation:
Answer:
b. d>-3/5
Step-by-step explanation:
L.C.M=5
5×1/5>5×d+4/5×5
1>5d+4
1-4>5d
-3>5d
-3/5>5d/5
-3/5>d
Helppp meeee please
Answer:
The Equation for lyft is:
4.50x
The Equation for uber is
2.50x+5
Step-by-step explanation:
If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.
It would look like this
Lyft: 4.50 (5)= 22.5
Uber
2.50 (5) +5= 17.5
If the distance were 5 miles uber would be the better option.
6- 1/3 = decimal maths
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
The value of the expression 6 - 1/3 will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
6 and 1/3
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 6 - 1/3
⇒ (18 - 1) / 3
⇒ 17 / 3
The value of the expression 6 - 1/3 will be 17 / 3.
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The following graph shows a proportional relationship.
What is the constant of proportionality between yyy and xxx in the graph?
Answer:
The constant of proportionality is thus 1
Step-by-step explanation:
Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.
The constant of proportionality is thus 1, which is also the slope of this line.
What is the sum of ( x - 4) and (4x -1)?
Answer: 5x-5 or 5(x-1)
Step-by-step explanation:
1. take away parentheses, add because asking for "sum"
=x-4+4x-1
2. add
=5x-5
3. if u need to factor it:
5(x-1)
. .. . . . . . .. . .. . so easy
Answer: 7
Step-by-step explanation: if it's so easy, why do you need brainly? (not judging, just confused why you'd waste points)
A music store is having a clearance sale. All items are discounted by 15%. What is the sale price of a radio that regularly costs $20?
Answer:
17$
Step-by-step explanation:
Answer:
$17
Step-by-step explanation:
Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.
The cafeteria made 19 mushroom pizzas and 57 pepperoni pizzas.What percentage of the pizzas were mushroom?
Answer:
the answer is 14.04
...............
25 % of pizzas were mushroom pizzas.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Number of mushroom pizzas = 19,
And number of pepperoni pizzas = 57.
Total number of pizzas = 19 + 57 = 76.
To find the number of percentage of pizzas of mushroom,
Use percentage property,
= (Number of mushroom pizzas / total pizzas) x 100
= (19 / 76) x 100
= 100/ 4
= 25 %
The required percentage of mushroom pizzas = 25 %.
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Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If
Tamara has $135 how many hours can Tamara use the jet-ski?
Answer:
6 hours.
Step-by-step explanation:
deal: 135-(60+12.5h)=y
let h= # of hrs
135-60=75.
75/12.5=6 hours.
Why are scarcity and choice basic economic questions faced by every society?
Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?
Answer:
The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.
Step-by-step explanation:
I took the test
Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people
Recall:
The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.Given the following:
Graph representing the number of ounces of chicken required to serve x people: y = 7x
The slope is 7.
Graph representing the number of ounces of fish required to serve x people: y = 5x.
The slope is 5.
Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x peopleLearn more about slopes on:
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14. Which transformation from the graph of a function f(x) describes the graph of 10f(x)? 2. ( Responses: horizontal, vertical) 2. ( Responses: shift, stretch) 2. ( Responses: up, down, left, right, by a factor of) 10 units. 2. Answer it and then explain it please
Answer: Your mom
Step-by-step explanation:
HEHEHEHA
Can someone please take the time out of their day and help me with this question
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]
[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]
the length of missing side= √85=9.2 ft
Isabella made two types of cakes: chocolate and vanilla. She cut all of the
chocolate cakes into 7 slices each and all of the vanilla cakes into 9 slices
each. If Isabella ended up with the same total number of slices of each type
of cake, what is the minimum number of slices of each type?
Answer:
To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...
As you can see so far, 63 is the lowest common multiple of both 7 and 9.
Thus, the answer is 63
Answer: 63 ( but give the person above me brainliest because they explained it better )
Step-by-step explanation:
If the cakes have the same amount of slices then we must find the lowest common multiple which is 63
So both cakes have 63 slices
A small van holds 8 students and a large van holds 12 students. There are a total of 48 students who plan to go on the field trip.
A cone has a volume of 94.2 cubic feet and a height of 10 feet. What is its radius?
Answer:
3 ft
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Solving for r, we find ...
r = √(3V/(πh))
r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft
The radius of the cone is 3 ft.
The diagram shows a cube with sides of length 8 meters. A smaller cube with
sides of length 3.5 meters has been out out of the larger cube.
a) Find the volume, in cubic centimeters of the large aube before the
small cube is out out. Write your answer in scientific notation
Find the volume of the solid after the small cube is removed. Write your
answer in scientific notation. Round the coefficient to the nearest tenth
Answer:
a) 512 cm^3
b) 469.125 cm^3
Step-by-step explanation:
8*8*8 = 512 cm^3
or
8^3 = 512 cm^3
3.5^3 = 42.875
512 - 42.875 = 469.125 cm^3
You can round the second answer down