x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Solution:-The age of Sita = (x + 5) years.
And, the age of Gautam = x years.
Now,
5 years ago, the ratio of their ages was 3 : 2
[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]
Now by cross multiplying, we get,
3x = 2(x + 5)
3x = 2x + 10
3x - 2x = 10
x = 10Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.
And, the age of Gautam = x = 10 years.
Now,
The present age of Sita = 15 + 5 = 20 years. (Answer)
And, the present age of Gautam = 10 + 5 = 15 years. (Answer)
Find the length of each arc. Use the exact answer
Answer:
D) 16π/3 ft
Step-by-step explanation:
The Question is calculated using Arc length formula
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
Hence, the arc length = Option D = 16π/3 ft
hii please help asap ill give brainliest thanks
Answer:
In the Hindu caste system, the farmers and merchants are known as the Vaishyas.
Hope it will help :)❤
1. Find the volume of a cone with the height of 14 cm and a diameter of 7 cm
A group of friends decided to equally share a package of trading cards. If there were 108 cards in the package and each person received 12 cards. How many friends were in the group? Write and multiplication equations for f, the number of friends in the group. *
Answer:
Number of friends in the group = 9
Step-by-step explanation:
Number of cards in the package = 108
Number of cards each friend gets = 12
How many friends were in the group?
Number of friends in the group = Number of cards in the package / Number of cards each friend gets
= 108 / 12
= 9
Number of friends in the group = 9
What is the equation of the line that passes through the point (4, -8) and
has a slope of - 1/2?
Answer:
I have no idea.
Step-by-step explanation:
??
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
Answer:
90,597 square inches
Step-by-step explanation:
In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.
We solve using Heron's formula
A = √s(s -a)(s - b) (s - c)
s = a + b + c/2
a = 410 inches
b = 530 inches
c = 830 inches
Hence,
s = 410 + 530 + 830/2
s = 885
A = √885(885 - 410)(885 - 530)(885 - 830)
A = 90,597.030166557 square inches
Approximately = 90,597.0 square inches
PICK ABC OR D !!!!!!!!
1.8 is greater than 1 so it is an increase. Raised to an exponent is an exponential increase.
The correct answer would be A. Bacteria growth increases exponentially
Solve the equation below by completing the square.
x? + 8x = -11
Answer:
[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]
16. Find the missing angle.
60
80
Answer:
40
Step-by-step explanation:
add 80 and 60
subtract 140 from 180
180-140=40
Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?
find the lcm of m²+2m, m²- 4 ,m² + 3 m+2 plzzzz answer fast
Answer:
(m + 2)
Step-by-step explanation:
First, factorise out m from the first equation:
m² + 2m = m (m + 2)
Second, use difference of two squares to factorise the 2nd equation:
m² - 4 = (m + 2) (m - 2)
Third, just factorise the last one normally as you would to solve for m:
m² + 3m + 2 = (m + 2) (m + 1)
Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).
Can someone help me?
9514 1404 393
Answer:
(0, 1)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).
Find the upper bound for the following length:
A) 18.7cm correct to 1 decimal place.
B) 58.37cm correct to 2 decimal places.
Please help.
Part A
Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"
Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8
So this means that the largest we can measure is 18.74 and it is the upper bound we're after.
Answer: 18.74 cm=========================================================
Part B
We use the same idea as part A, but now we're extending out one more decimal place.
We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374
By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm
Answer: 58.374 cmA 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet.
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Jayden took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number? Show your work.
doubling the number and then decreasing the result by 25%
increasing the number by 50%
multiplying the number by 1.25
multiplying the number by 2.5
Answer:
Step-by-step explanation:
increasing he number by 50%
look 25 x 2 = 50 woah duable means add th number again boom 50%
Answer:
third option (mult by 1.25)
Step-by-step explanation:
let's say the number is 10
now double it to get 20
now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25
may someone please help me out on this question
Answer:
A
Step-by-step explanation:
It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.
[tex]x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36[/tex]
Which expression shows the quotient of a number of n and four.
Answer: n divided by 4!
Step-by-step explanation: If its a quotient, it means division!
Anyone know how to do this? If so PLZ HELP ASAP
Answer:
20
Step-by-step explanation:
Answer:
3626 i hope this is correct sorry if it is not
Step-by-step explanation:
Please Please Pleaaaase help me with this.
Answer:
multiple 2 with everything
Step-by-step explanation:
two by 3=6 6X2=12 and like this
The question is down below
Answer:
The volume at the highest point is 64 times greater
Step-by-step explanation:
Mathematically, the volume of a sphere is simply the same formula irrespective of the size
Now, we have the formula as;
V = 4/3 * pi * r^3
While the 4/3 pi is a constant term, the value of r changes
initially we have the value of r as d = 2
where r is the radius and d is the diameter
we have this as;
8/2 = 4 ft
r^3 of this is 4^3 = 64
For the second part, we have
r as 32/2 = 16 ft
now, the r^3 part here is 16^3 = 4096
So now, we have to divide the final by the initial
we have this as 4096/64 = 64
So the volume at the highest point is 64 times greater
Pls help, cant find this question anywhere else.
When expressing a number in scientific notation, the value of must be a ________.
Answer:
I think its "decimal" Im not sure tho
Step-by-step explanation:
to be specific I would say "decimal that is rounded to the hundredths place"
in figure 5.19 to the right PQRS is a rectangle. if PS=5cm and PR=13cm find SR and QS.
Given:
PQRS is a rectangle.
[tex]PS=5\ cm,\ PR=13\ cm[/tex]
To find:
The length of SR and QS.
Solution:
We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].
According to the Pythagoras theorem, in a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem in triangle PRS, we get
[tex]PR^2=PS^2+SR^2[/tex]
[tex]13^2=5^2+SR^2[/tex]
[tex]169-25=SR^2[/tex]
[tex]144=SR^2[/tex]
Taking square root on both sides.
[tex]\sqrt{144}=SR[/tex]
[tex]12=SR[/tex]
So, the measure of SR is 12 cm.
We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,
[tex]PR=QS[/tex]
[tex]13=QS[/tex]
Therefore, the length of SR is 12 cm and the length of QS is 13 cm.
help?!
Compound interest means interest is earned on top of interest.
True
False
Answer:
True.
Step-by-step explanation:
Factor n2 + 8n + 12 completely.
Answer:
(n+2)(n+6)Step-by-step explanation:
[tex]n^2+8n+12\\\\[/tex]
Break the expressions into groups
[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]
Factor out n from n^2+2n
Factor out 6 from 6n+12
[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]
Factor out common term : n+2
[tex]=\left(n+2\right)\left(n+6\right)[/tex]
The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).
Given that,
The quadratic equation is,
n² + 8n + 12
Used the factorization method to factor the quadratic equation.
Now, factor the equation,
n² + 8n + 12
n² + (6 + 2)n + 12
n² + 6n + 2n + 12
n (n + 6) + 2(n + 6)
(n + 2) (n + 6)
Therefore, the factors of the equation are (n + 2) and (n + 6).
To learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ6
Si el total de un precio de un viaje de visita es de 3460 soles y van 13 personas ¿CUANTO CUESTA CADA PASAJE?
Answer:
266.15
Step-by-step explanation:
3460 dividido por 13 personas = 266.15
Yoo helpppppppppppppppppp
Answer: 21
Step-by-step explanation: at the bottom it said "Y-intercepts have an x value of 0." and when we look at the numbers, y is at 21 when x is at 0.
a phone call starts at 9:14a.m. the call lasts for 24 minutes. what time does the call end?
8:46 a.m.
9:28 a.m.
9:42 a.m.
10:28 a.m.
Answer:
It would end at 9:38
Step-by-step explanation:
but obviously it is not one of the answer choices, so I would go with 9:42
-5/9 as a decimal is what
Answer:
59.00
Step-by-step explanation:
kind of common sense
Let’s say you want to play a new card game called Pokee. Every player isdealt 4 cards and everyone compares what hands they have to see who wins. Our job isto figure out what the hierarchy of the hands should be. Below is a list of several scoringhands that we wish to compare. For each hand, count how many hands of that type thereare (include the expression you used to get that value) along with a simple explanation ofhow you got that expression. Assume a standard 52 card deck with 4 suits.
a) Presidential Flush (J, Q, K, Ace, all the same suit)
b) Straightish (4 consecutive cards)
c)Flushed (4 cards of the same suit)
d) House (Two pairs of different cards)
Answer:
a)
Step-by-step explanation:
base on the hierarchy of the hands should be
Straight flush - Poker hand in with 4 consecutive cards of the same suit
Flush - Poker hand with any 4 cards of the same suit
Full house - Poker hand that contains three of the same cards and one pair
Since: Poker hand refers to the 4 cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands: