1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
Answer: 13/30 or 0.4333333333
Step-by-step explanation:
Just add and subtract them.
Correct me if I am incorrect.
The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?
Answer:
31
Step-by-step explanation:
this is for 8th grade pls answer .
Step-by-step explanation:
We have that
[tex](x + \frac{1}{x} ) {}^{2} = 3[/tex]
We are trying to find the number value so that we can apply in the later equation.
Qe first simplify.
Remeber that
[tex](a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} [/tex]
Also remeber that
[tex] \frac{1}{x} = {x}^{ - 1} [/tex]
so
[tex](x + x {}^{ - 1} ) {}^{2} = {x}^{2} + 2x {}^{0} + {x}^{ - 2} = 3[/tex]
We then simply remeber that x^0=1 so
[tex] {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 3[/tex]
Multiply both sides by x^2.
[tex] {x}^{4} + 2 {x}^{2} + 1 = 3 {x}^{2} [/tex]
Subtract both sides by 3x^2
[tex] {x}^{4} - {x}^{2} + 1 = 0[/tex]
Notice that x^4= (x^2)^2.
So our reformed equation is
[tex]( {x}^{2} ) {}^{2} - {x}^{2} + 1 = 0[/tex]
Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.
[tex]w {}^{2} - w + 1 = 0[/tex]
Now we use the quadratic formula
[tex] w = \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
and
[tex]w = - b - \frac { \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
Let a=1 b=-1 and c=1.
[tex]w = \frac{1 + \sqrt{1 - 4(1)} }{2} [/tex]
[tex]w = \frac{1 - \sqrt{1 - 4} }{2} [/tex]
Now, we get
[tex]w = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex]w = \frac{1}{2} - \frac{ i\sqrt{3} }{2} [/tex]
Now since we set both of these to the x^2 we solve for x.
and
[tex] {x}^{2} = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex] {x}^{2} = \frac{1}{2} - \frac{i \sqrt{3} }{2} [/tex]
We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is
[tex] {x}^{2} = 1( \cos(60) + i \: \sin(60) [/tex]
and
[tex] {x}^{2} = 1( \cos(300) + i \: sin(300))[/tex]
Next we take the sqr root of 1 which is 1, and divide the degree by two.
[tex] {x} = 1( \cos(30) + i \: sin \: 30)[/tex]
and
[tex]x = 1( \cos(150) + i \: sin(150)[/tex]
We are asked for the 2nd root so just add 180 degrees to this and we have
[tex]x = 1 \cos(210) + i \: sin \: 210)[/tex]
and
[tex]x = 1( \cos(330) + i \: sin(330)[/tex]
which both simplified to
[tex]x = - \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
and
[tex]x = \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
Now we must find
x^18+x^12+x^6+1.
We just use demovire Theorem. Which is a complex number raised to the nth root is
[tex] {r}^{n} (cos(nx) + i \: sin(nx)[/tex]
So let plug in our first root.
[tex]1( \cos(330 \times 18)) + i \: sin \: (330 \times 18))) + 1( \cos(12 \times 330)) + i \: sin(12 \times 330) + 1( \cos(6 \times 330) + i \: sin(6 \times 330))) + 1[/tex]
To save time we multiply the angle and use rules of terminals angle and we get
[tex]1( \cos(180) + i \sin(180) ) + 1( \cos(0) + i \: sin \:( 0) + 1( \cos(180) + i \: sin(180) + 1[/tex]
And we get
[tex] - 1 + 1 + - 1 + 1 = 0[/tex]
So one of the answer is x=0
And the other, let see
[tex]1 \cos(210 \times 18) + i \: \sin(210 \times 18) + 1 \: cos(210 \times 12) + i \: sin(210 \times 12) + 1 \cos(210 \times 6) + \:i sin(210 \times 6) + 1[/tex]
[tex] \cos(180) + i \: sin(180) + 1 \cos(0) + i\sin(0) +1( \cos(0) + i \sin(0) + 1[/tex]
We get
[tex] - 1 + 1 + 1 + 1 = 2[/tex]
So our answer are 2.
So the answer to the second part is
0 and 2.
Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?
Answer:
5 : 1
Step-by-step explanation:
Selling price = 37.90
Cost price = 7.58
Selling price : cost price = 37.90 : 7.58
When simplifying, we can first check if one number is a factor of the other:
7.58 * 3 = 22.74
7.58 * 4 = 30.32
7.58 * 5 = 37.9
Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1
if you have 6 apples and you give 2 apples to Ciara how many apples do you have? (hint you don't have friends)
Answer:
4
Step-by-step explanation:
6 - 2 = 4
Answer:
4
Step-by-step explanation:
Ciara is not my friend but she's my sister
A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?
Step-by-step explanation:
30/4 = 7.5 per hour
now,
7.5 × 19 = 142.5
$142.5
Answer:
$142.50
Step-by-step explanation:
30 divide by 4 = 7.5
So each hour the worker would earn $7.50
7.5 x 19= The worker will earn 142.50 after working 19 hours.
A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?
Answer:
3750
Step-by-step explanation:
2250/45=50
50x75=3750
1 ton is equal to 2,000 pounds. How many pounds are in 5 tons, 230 pounds?
Answer: 10230
Step-by-step explanation:
The amount in pound is 1230 pounds.
What is Unitary Method ?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
1 ton is equal to 2,000 pounds.
So, 5 tons and 230 pounds
= 5 x 2000 + 230
= 1000 + 230
= 1230 pounds.
Learn more about Unitary Method here:
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You are selling candy for $2 each and burgers for $5 each. You have a budget for $150. The equation for this situation can be written as 2x+5y=150
Find the x intercept and y intercept. Show all work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.
Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.
what is 5x to the power of 2 times 4x to the power of 3 divided by 4
Answer:
5x^5
Step-by-step explanation:
5x^2*4x^3/4
Divide
5x^2*1x^3
Multiply and Calculate
5x^5
answer: [tex]25x^{3}[/tex]
steps to solve:
→ let's write this out as an equation instead of in word form. 5x to the power of 2 times 4x to the power of 3 divided by 4 is [tex]\frac{5^{2} * 4x^{3}}{4}[/tex].
→ first, calculate the power of [tex]5x^{2}[/tex]. [tex]5x^{2} = 25[/tex], so now we have [tex]\frac{25^{2} * 4x^{3}}{4}[/tex]
→ now, multiply the monomials. [tex]25 * 4x^{3} = 100x^{3}[/tex].
→ [tex]\frac{100x^{3}}{4}[/tex]. we need to cross out the common factor, which is 4. 100 divided by 4 is 25. we're now left with [tex]25x^{3}[/tex].
so, [tex]25x^{3}[/tex] is the answer
Help me this hard im stuck
Answer:
B, C
Step-by-step explanation:
Please help, I will mark brainliest :)
Answer:
Its A $0.50 per mile
Step-by-step explanation:
what the first 3 prime numbers greater than 12
PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.
A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
What’s the figure name
Answer:
Line GH or Line HG
Step-by-step explanation:
Hope it help !!
Answer:
line segmentStep-by-step explanation:
a point to a point which makes a straight line is called a line segment
Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Learn more about algebraic expression on:
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What is the distance from 5,1 and 2,1
Answer:
2.0
Step-by-step explanation:
This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).
Distance means subtraction. Between means to 5.1 and 3.1 .
So 5.1 - 3.1 = 2.0
PLS I RLLY NEED HELP
Water flows out of a tank at the rate of 400 ml per minute. How long
will it take for 7.2 liters of water to flow out of the tank?
Answer:
18 minutes
Step-by-step explanation:
7.2 litres is 7200ml
each minute 400ml leaves the tank
so the question being asked is how many 400's are there in 7200...
7200 divided by 400 is 18.
A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?
Answer:
Above is the answer, coupled with a detailed step-by-step explanation. Thank you!
Help please! Due today
Answer:
First triangle: 54.46 degrees
Step-by-step explanation:
For the first problem, solve for the third side, then the third angle, and then subtract from 180.
20^2 + 28^2 = c^2
400 + 784 = c^2
1184 = c^2
34.41 = third side
Find the third angle:
sin(90)/34.41 = sin(x)/20
20 * sin(90)/34.41 = sin(x)
35.54 is the third angle.
180 - 35.54 - 90 = 54.46. The angle with the question mark is 54.46. Do the other 2 problems the same way.
can someone help me with these? it's a study guide and I lost the notes I took for these
Step-by-step explanation:
[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]
Can someone help me with this?
Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
(a)
(f(4) - f(-6)) / (4 - -6) = (3 - 1) / (4 + 6) = 2 / 10 = 1/5
(b)
(f(2) - f(-2)) / (2 - -2) = (-1 - -3) / (2 + 2) = (-1 + 3) / 4 = 2/4 = 1/2
Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour
Answer:
1 hour = $9.2
Step-by-step explanation:
The question says that:
Brody makes $78.20 in 8.5 hours.
So,
8.5 hours = $78.20
We need to find 1 hour pay.
So, divide both sides of the above equation by 8.5
8.5 / 8.5 hours = $78.20 / 8.5
1 hour = $9.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Smallest Positive fraction
Answer: 1/5?
Step-by-step explanation:
Find the value of y.
The value of the variable 'y' will be square root 21 that is √21.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,
y / 3 = 7 / y
Simplify the equation, then we have
y / 3 = 7 / y
y² = 21
y = √21
The value of the variable 'y' will be square root 21 that is √21.
More about the triangle link is given below.
https://brainly.com/question/25813512
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The figure below shows the number of dots in each of the first four terms of a pattern.
image 3946d177031641899e8a9055b29f185e
Which of these can be used to determine
N
, the number of dots, given
t
, the number of the term in the pattern?
N
=
4
(
t
−
1
)
N = 4 ( t − 1 )
N
=
3
t
+
1
N = 3 t + 1
N
=
3
(
t
−
1
)
+
1
N = 3 ( t − 1 ) + 1
N
=
3
t
+
2
Answer:
there is nothing just a a codding log
Step-by-step explanation:
FOR BRAINLIEST
А is equivalent to 0.001 grams.
milligram
kilogram
decigram
Answer:
one milligram
Step-by-step explanation:
Answer:
milligram
Step-by-step explanation:
1,000 mg = 1 g
1 mg = .001 g
What is the value of x?
We know that the triangle is an isosceles triangle because the base angles are the same.
=> 4x - 1 = x + 5=> 4x - x = 1 + 5=> 3x = 6=> x = 6/3 = 2Conclusion:Therefore, the answer is 'x = 2'
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation: