Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
find the nth term of 1,6,11,16
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560
Answer:
k
Step-by-step explanation:
Jamya mixes 3 cups of soda with 5 cups of punch. How much does she mix with 18 cups of punch?
Answer:
Well we can make a proportion in this scenario
So 3 cups of soda to 5 cups of punch
And how much soda for 18 punch.
Well we can do this
make “x” the amount of soda
And then make a proportion
3/5 = x/ 18
Now solve
You can cross multiply
54=5x
x=10.8
10.8 soda
PARALLEL PERPENDICULAR OR NEITHER OR SAME slope
Answer:
21. Same Line
22. Same Line
23. Perpendicular
24. Neither
25. Parallel
26. Neither
27. Neither
28. Neither
29. Perpendicular
30. Perpendicular
31. Neither
32. Perpendicular
33. Parallel
34. Perpendicular
35. Perpendicular (?)
36. Neither
37. Neither
38. Parallel
39. Neither
40. Parallel
A countertop is 13 feet long and 2 feet wide.
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
Answer:
A = 2.42 sq. meters
Step-by-step explanation:
13 feet = 13 × 0.305 = 3.965 meter
2 feet = 2 × 0.305 = 0.61 meter
A = lw
A = (3.965) × (0.61)
A = 2.41865 sq. meters
A = 2.42 sq. meters
solve for a. 15-a/12=22
Answer:
15-22=a/12
-7=a/12
12(-7)=a
-84=a
Step-by-step explanation:
What are the places in decimals called.
Answer: the tenths place
Step-by-step explanation:
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answer:
I think it's B.
Step-by-step explanation:
:)
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
A rock has a mass of 126 grams and a density
of 1.8 grams/cm.
Work out the volume of the rock.
Answer: 70 grams^3
Step-by-step explanation: volume = mass/density volume = 126/1.8 volume = 70 grams^3
The value of the volume of the rock will be;
⇒ Volume = 70 cm³
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mass of rock = 126 grams
The density of rock = 1.8 grams/cm
Now,
Since, We know that;
⇒ Volume = Mass / Density
Here, The mass of rock = 126 grams
The density of rock = 1.8 grams/cm³
Substitute all the values we get;
⇒ Volume = Mass / Density
⇒ Volume = 126 / 1.8
⇒ Volume = 70 cm³
Thus, The value of the volume of the rock will be;
⇒ Volume = 70 cm³
Learn more about the divide visit:
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Solve for r.
-70 +1 > 22
OR
102 +41 81
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answer: 3/6 or 1/2
Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.
Answer:
1/2 cups of strawberries is required.
Step-by-step explanation:
1 pie = 1/6 cups of strawberries
=> 3 pies = 1/6 x 3
=> 3 pies = 1/2 cups of strawberries.
Hoped this helped.
The sum of two consecutive odd numbers is 52.Using an algebraic equation
find the two odd numbers.
Answer: 25, 27
Step-by-step explanation:
52=x+x+2=50=2x=x=25
what is the coefficient of the first term in the expression 8x+3y+4
a: y
b: 3
c: x
d: 8
Answer:
d
Step-by-step explanation:
the first term is 8x. 8 is the coefficient and x is the base. so the answer is 8.
So if y varies directly as x, and y=21 when x=3. What is x when y=42?
Answer:
x = 6
Step-by-step explanation:
Equation:
[tex]\frac{3}{21} = \frac{x}{42}\\\\Cross - multiply\\\\3 *42 = 21x\\\\126 = 21x\\\\x = 6[/tex]
-Chetan K
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.
Answer:
sorry i dont quite understand your question .
Ratio would be 1/2 or 50:100 in terms to 40:80
Step-by-step explanation:
if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "
Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.
The new graph will have equation y =
Answer: f(x)=3(x+4)+ 8
Step-by-step explanation:
Stretch vertically by a factor of 3: y = 3x
Then, translate two units leftward: y = 3(x+2)
Then, translate 8 units upward: y = 3(x+4)+ 8
What is free energy.
Answer:
free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.
what equation is equal to 2x+3y=12
Answer:
y=-2/3x+4
Step-by-step explanation:
2x+3y=12 --- rewrite so it looks like y=mx+b
3y=-2x+12
y=-2/3x+4
workout the perimeter of this shape 3cm 5cm 2cm 6cm
Answer:
Perimeter is 16 cm
Step-by-step explanation:
3+5+2+6=16
im assuming the amounts given are the side lengths
If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?
Answer:
5 minutes
Step-by-step explanation:
72/1 = 360/5
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?
On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars
Answer:
-$43.67
Step-by-step explanation:
your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be
-12.71 -30.96
it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.
(21x)-(-16+7x) Subtract.
Answer:
=14x+16
Step-by-step explanation:
21x−(−16+7x)
=21x+−1(−16+7x)
=21x+(−1)(−16)+−1(7x)
=21x+16+−7x
=21x+16+−7x
=(21x+−7x)+(16)
=14x+16
Answer:
14x+16
Step-by-step explanation:
(21x)-(-16+7x)
Distribute the minus sign
21x+16-7x
Combine like terms
14x+16
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
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why do u get to determain how many daily limits i can have u encourge alot of a ton people to buy you're vip for over priced prices it dum and so is youre app
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.