Answer:
[tex]\dfrac{\sqrt[5]{810x^3}}{3x}[/tex]
Step-by-step explanation:
As a rule, the "simplified form" means there are no fractions under a radical.
[tex]\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}[/tex]
Answer:
D on Edge
Step By Step Explination:
I did the test
What is the value of the exponential expression below 16^ 1/2
Answer:
4
Step-by-step explanation:
16^1/2
= [tex]\sqrt{16}[/tex]
=4
Answer:4
Step-by-step explanation:
BIG BRAIN
Can I get some help with this?
Answer:
x = 37 degrees
Step-by-step explanation:
Let the unknown angle be x
So,
Tan x = [tex]\frac{opposite}{Adjacent}[/tex]
Opposite = 3, Adjacent = 4
Tan x = [tex]\frac{3}{4}[/tex]
Tan x = 0.75
x = [tex]tan ^{-1} 0.75[/tex]
x = 37 degrees
What property is used in the second step of solving the inequality below?
Given
5x-9 <91
5x < 100
X<20
Multiplication Property
O Identity Property
O Addition Property
O Multiplication Property
O Transitive Property
Answer:
addition
Step-by-step explanation:
I need helppp fastttt!
Answer:
The cube root of 1331 is 11.
Step-by-step explanation:
11 times 11 times 11 = 1331
Answer:
11
Step-by-step explanation:
=> [tex]\sqrt[3]{1331}[/tex]
We'll prime factorize it!
=> [tex]\sqrt[3]{11*11*11}[/tex]
=> [tex]\sqrt[3]{11^3}[/tex]
Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]
=> [tex]11^{3*1/3}[/tex]
=> [tex]11^{3/3}[/tex]
=> [tex]11^1[/tex]
=> 11
Please help...Simplify 10^-8.
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The exponent numerical expression is given below.
⇒ 10⁻⁸
We know that a⁻ⁿ = 1/aⁿ. Then the expression is written as,
⇒ 10⁻⁸
⇒ 1 / 10⁸
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7
Answer: -3 and 7
Step-by-step explanation:
x - 7
Add 7 to get 0
x - 7 ( + 7) = 0
x + 3
Subtract 3 to get 0
x + 3 ( - 3) = 0
Two
angles
Complementary
one angle
measures 22 degrees. The
other measure
2x degrees solve for
x
A 62
B 34
c. 158
d 79
Answer:
Option B
Step-by-step explanation:
Complementary Angles add up to 90 degrees
So,
Other Angle = 90-22
Other Angle = 68 degrees
Also Other Angle = 2x (Given)
So,
2x = 68
Dividing both sides by 2
=> x = 34
PLZ HELP ME ☻ [tex]\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\][/tex] Solve system of equations
Answer:
[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]
Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:
[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]
Second equation:
[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]
Third equation:
[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]
Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]
Combine this last expression term by term with the reduced equation 2, and solve for "x" :
[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]
Now we use this value for "x" back in equation 1 to solve for "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]
And finally we solve for the third unknown "z":
[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]
Here is a set of data 2.4 1.6 3.2 0.3 1.5 a. calculate the mean b. each new piece of data is now doubled, calculate the new mean c. each new piece of data is now doubled, calculate the new mean
Answer:
a) mean=1,8 b) mean=3.6 c) mean=7.2
Step-by-step explanation:
a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9
9/5=1.8
b) 4.8+3.2+6.4+0.6+3=18
18/5=3.6
c)9.6+6.4+12.8+1.2+6=36
36/5=7.2
Answer:mean is 1.8
Step-by-step explanation:
Add all up divide by 5
Your friend has $100 when he goes to the fair he spends 10 to interfere in 20 on food Rides at the fair cost two dollars per ride which function can be used to determine how much money he has left over after x rides
Answer:
$70-$2x
Step-by-step explanation:
In the beginning, your friend spent $30 on interference and food, leaving him or her $70.
Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.
He subtracted that from the money he had which was $70.
Therefore, the equation is $70 - $2x
A movie was 3 1/2 hours long if Lilly turned of the movie off 1/4 of the way through how much time did she spend watching
Answer:
7/8 of an hour
Step-by-step explanation:
Answer:
duration of movie = 3 hours 30 minutes
= 180 + 30
= 210 minutes
Lily turned of 1/4 of the way
time she spend watching
= 1/4 × 210
= 52.5 minutes
need helpppp with this one
Answer:
Step-by-step explanation:
brodha,,,
ur answer is
c)) 2sinxcosx
Find the value of x in the given
right triangle.
10
37°
Х
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
x ≈ 8.0
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )
10 × cos37° = x , thus
x ≈ 8.0 ( to the nearest tenth )
The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.
cos37 = x/10
x = 10cos37
x = 10(0.79)
x = 7.9 ≈ 8 units
Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
Learn more about the right angle triangle here:
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can you please help ?
Answer:
17
Step-by-step explanation:
Plot in the points for each variable to find the y-intercept.
1=-4(4)+c
1=-16+c
1+16=c
17=c
9=-4(2)+c
9=-8+c
9+8=c
17=c
Answer:
Step-by-step explanation:
Given:
2 Points
(4,1) and
(2,9)
Slope
m = (y2 - y1)/(x2 - x1)
y2 = 9
y1 = 1
x2 = 2
x1 = 4
m = (9 - 1) / (2 - 4)
m = 8 / - 2
m = - 4
y intercept
y = mx + b
y = -4x + b
Use (9, 1) to find the y intercept
1 = - 4*9 + b
1 = - 36 + b
b = 37
Answer
The equation is y = - 4x + 37
Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?
Answer:
They both intersect eachother
Step-by-step explanation:
In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .
Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x = [tex]\frac{156}{39}[/tex]
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
To which subsets of the real numbers does 5 belong
Answer:
For example, 5 can be written as 5/1.
Step-by-step explanation:
The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope this helps you :)
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
What is the midpoint of the segment shown below? For geometry worksheet!
Answer:
D
Step-by-step explanation:
The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.
Evaluate the expression. r = , v = , w = v ⋅ w (5 points)
Answer:
Step-by-step explanation:
after a party, you have 2/5 of brownies you made leftover . there are 16 left. how many brownies did you make for the party?
Answer:
b = 40
Step-by-step explanation:
Let b= brownies made
b* 2/5 = brownies left over
b*2/5 = 16
Multiply each side by 5/2
b * 2/5 *5/2 = 16*5/2
b = 40
Answer:
40
Step-by-step explanation:
.4/.4 is 1 so 16/.4 is 40
Rápido y fácil, trigonometría. Urgente porfavor
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500
Answer:
(a) 5n -300 = 1500
Step-by-step explanation:
Profit is the difference between revenue and cost.
RevenueThe revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.
CostThe cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...
200 +100 = 300
ProfitThe profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...
revenue - cost = profit
5n -300 = 1500
Answer:
5n - 300 = 1,500
Step-by-step explanation:
just got it right on edge
can someone help me?
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
Erik and Nita are playing a numers game. If the difference of their two numbers is less than 10 then Erik wins. If the differece between their two numbers is greater than 10 then Nita wins. The numbers to choose from are zero to twenty. What is the range of numbers that will win the game for your player? (Erik) If your player is Erik, assume that Nita chooses 7. Remember that Erik and Nita can only use numbers from zero to twenty)
Answer:
The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].
Step-by-step explanation:
We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.
The numbers to choose from are zero to twenty.
Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.
Given that Nita chooses 7.
Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;
[tex]|x-7|<10[/tex] , where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]
Further solving the above equation we get;
[tex]-10 < x-7<10[/tex]
[tex]-10+7 < x-7+7 < 10 + 7[/tex]
[tex]-3 < x < 17[/tex]
But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.
SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].
HELP ASAP!!! ANWER AS QUICKLY AS POSSIBLE PLEASE.
Answer:
(17,0) and (-2,19)
Step-by-step explanation:
First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.
I need help with these two please help me!
Answer:
0.50
Step-by-step explanation:
Simply plug -2 in for x into the equation.
2(2^-2) = 0.50
Answer:
0.50
Step-by-step explanation:
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, his stock was valued at $22.14. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Answer: 1,468.5
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).
Mathematically speaking:
Price per share x number of shares = 19.58 x 75 = $1,468.5
His purchase price was 1,468.5
Feel free to ask for more if needed or if you did not understand something.
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? A. There is no difference between the preferences of students and teachers. B. "Shark" is more popular with students, but "moose" is more popular with teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. D. "Moose" is equally popular with students and teachers.
Answer:
The correct statement is (D).
Step-by-step explanation:
Compute the probabilities for the data provided:
Probability students preferring sharks:
[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]
Probability teachers preferring sharks:
[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]
Probability students preferring moose:
[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]
Probability teachers preferring moose:
[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]
From the above computations it can be concluded that:
Shark is more popular with students.Moose is equally popular with students and teachers.Thus, the correct statement is (D).
Answer: Just did it and the answer is “Shark”...
Step-by-step explanation: