Explanation:
The first column is nothing but "2"s.
The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.
So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.
The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.
let a and b be the roots of the equation x^2 - 3x - 1 = 0. Find a^3 + b^3
hint: a^3 + b^3 = (a+b)(a^2-ab+b^2)
URGENT PLEASE
Answer:
Correct option is A)
Given,a,b are distance roots of x
3
+3x
2
−1=0
⇒a
3
+3a
2
−1=0 and b
3
+3b
2
−1=0
let the third root be c
then c
3
+3c
2
−1=0
product of roots =
a
−d
=
1
−(−1)
=1
⇒
abc=1
c=
ab
1
but c is root of x
3
+3x
2
−1=0
⇒c
3
+3x
2
−1=0
⇒
(ab)
3
1
+
(ab)
2
3
−1=0
⇒
1+3ab−(ab)
3
=0
.....(1)
in equation (1)
(ab)
3
−3(ab)−1=0
⇒ab is root of
x
3
−3x−1=0
∴(ab) is root of
x
3
−3x−1=0
Reporting bots and absurd answers. will give brainliest when possible
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1
Answer:
The answer is y squared over 12 minus x squared over 24 equals 1
Step-by-step explanation:
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2
B. 2x−y=−2
C. −2x−y=−22
D. −2x+y=−8
please show step by step
Answer:
A. −2x+y=−2
Step-by-step explanation:
What is the volume of the following rectangular prism?
1 1/3 units
4 1/2units?
Answer:
6 units
Step-by-step explanation:
4 1/2 x 1 1/3= 6
Find the side labeled x.
help please
Answer:
x=7.51
Step-by-step explanation:
Tangent would be the easiest option here in this problem so to do this set up the proportion
[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]
Cross multiply to get x=tan30(13)
Multiply tan30 by 13 to get the answer to x which is
x=7.51 rounded to the nearest hundredth
Sally needs to wrap a birthday gift. The gift has a length of 15 in, a width of 13 in,
and a height of 9in. Use the Surface Area formula for a Rectangular Prism to figure
out how much wrapping paper Sally will need to wrap the gift. Write a paragraph,
using the RACE format, explaining how you got your answer.
Answer:
849in 2
Step-by-step explanation:
sally needs to wrap a birthday gift.
the surface area of the gift is 894 in 2.
the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).
to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.
Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)
Answer: How do you not understand this?
I understand it perfectly.
Step-by-step explanation:
The probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Probability
Given:
Blue pens=4
Green pens=3
Hence:
Probability=4³+3³÷(4+3)³
Probability=64+27/343
Probability=91/343
Probability=0.2653×100
Probability=25.53%
Therefore the probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ6
Mya is redecorating her bedroom. The room is in the shape of right rectangular prism. The dimensions of the room are: 12 feet in length by 14 feet in width by 8 feet in height. She plans to cover the floor with tile. The cost of the tile is $4 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $16 and can cover 146 ft². What is the total cost of the tile flooring and paint needed for this room? Drag and drop the responses to correctly complete these sentences.
Answer:i took the test and this was my answer. goodluck mate :)
Step-by-step explanation:
7k^2=21,952
Volume of cylinders, cones, and spheres
What is the answer please
Answer:56Step-by-step explanation:7k²=21952
k²=21952/7
k²=3136
k=√3136
k=56
PLS MARK ME AS BRAINLIEST
Here, angles A is 23 degrees. What can we say about other angles B and C…. Help please
Answer:
Both are 157 degrees
Step-by-step explanation:
A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.
Answer:
Step-by-step explanation:
Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.
a +b = 180 {Linear pair}
23 + b = 180
b = 180 - 23
b = 157°
c = b {Vertically opposite angles are congruent}
c = 157°
50 students each did a mathematics test. the mean score for these 50 students was 8.4. there were 30 boys. the mean score for these bots were 8.25. workout the mean score for the girls.
[(30 x 8,25) + (20 x n)] / 50 = 8,4
247,5 + 20 x n = 420
n = (420 - 247,5) : 20
n = 8,625
What's the slope and y-intercept of the equation 3x + 4y = 8? A) m = –3∕4; b = 2 B) m = –4; b = 3 C) m = 3∕4; b = –2 D) m = –3; b = –4
Answer:
A) m = –3∕4; b = 2Step-by-step explanation:
The slope-intercept form is
y = mx + b, where m- slope, b- y-interceptConvert the given equation into slope-intercept form
3x + 4y = 84y = - 3x + 8y = - 3/4x + 2The slope is:
m = - 3/4The y-intercept is:
b = 2Correct choice is A
First isolate y
3x+4y=84y=-3x+8y=-3/4x+8/4y=-3/4x+2Compare to slope intercept form y=mx+b
Slope=m=-3/4y intercept=b=2A rectangle at 0,0 and 3,0 and 0,6 what is the area of the rectangle
Answer:
is the amount of space it occupied 18
which is the largest living thing?
A path is made of red tiles and blue tiles.
1/5 of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.
Answer:
The ratio of red tiles to blue tiles is 1 to 4.
Step-by-step explanation:
Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
What is the volume of an hemisphere?An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
r = radiusTherefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
learn more on hemisphere here: https://brainly.com/question/14527816
A new car is purchased for 15100 dollars. The value of the car depreciates at 12. 25% per year. To the nearest year, how long will it be until the value of the car is 2300 dollars?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]
[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]
Please help asap!!! I will give brainlist
Answer:
I believe the answer is C.
[tex] \sqrt{35} [/tex]
Help me please boghngghjgy
Answer:
224
Step-by-step explanation:
7×8×4= 224 that is the answer
Bryce has $28. He spends $15. Then, his mom gives him $5 more. Which equation shows how Bryce can correctly find his total amount of money?
Answer:
28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18
Step-by-step explanation:
Simple math hope this helped
Find the volume of the prism.
Answer: The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.
Need help with solving for X
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.
5x + 25 + x + 5 = 90
5x + x + 25 + 5 = 90
6x + 30 = 90
Subtract 30 to both sides
6x = 90 - 30
6x = 60
Divide 6 to both sides
x = 60 / 6
x = 10
[tex]\rule[225]{225}{2}[/tex]
ANS FASTestttttttttttttttttttttttt
Answer:
x is 75° ........................
3x+2x+6v-9g+hd+2v-1g
Answer:
5x+8x-10g+hd
Step-by-step explanation:
please mark me as brainlest
Hey there!
3x + 2x + 6v - 9g + hd + 2v - 1g
= 3x + 2x + 6v - 9g + 1hd + 2v - 1g
COMBINE the LIKE TERMS
= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)
= 3x + 2x + 6v + 2v - 9g - 1g + 1hd
= 5x + 7v - 10g + 1hd
= 5x + 7v - 10g + hd
= hd - 10g + 8v + 5x
Therefore, your answer is:
hd - 10g + 8v + 5x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
*will give free brainliest* You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more points, you leveled up! What was your percent error?
Answer:
5%
Step-by-step explanation:
(240 - 252/240)×100
James has 16 balloons . 1/4 of his ballons are red. How many red ballons does he have
Answer:
James has 4 red balloons
Step-by-step explanation:
16 × 1/4 = 4
You could also say 16 ÷ 4 = 4
Hope that helps!
Mandy bought a rectangular shelf that is 1 2/3 feet long and 5/8 feet wide. What is the area of the shelf? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft²
The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is [tex]1\frac{1}{24}[/tex] ft
How to find area of a rectangle?
A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.
Therefore,
area of rectangle = lw
where
l = lengthw = widthTherefore,
length = 1 2 / 3 = 5 / 3 ft
width = 5 / 8 ft
area = 5 / 3 × 5 / 8
area = 25 / 24 ft
area = [tex]1\frac{1}{24}[/tex] ft
learn more on rectangle here: https://brainly.com/question/1106604
6. Owen weighed 3 different bugs. List the bugs
in order from lightest to heaviest.
Bug
Fly
Spider
Bee
Weight
2.5 x 10-4 ounces
7.1 x 10-5 ounces
4 x 10-3 ounces
A. Spider, Fly, Bee
B. Fly, Bee, Spider
C. Spider, Bee, Fly
D. Fly, Spider, Bee
100pts Help rounding!
Answer:
5
Step-by-step explanation:
5 158/559
= 5 + 158/559
= 5 + 0.28264758
= 5.28264758
= 5 (rounded to nearest whole number)
Answer:
5
Explanation:
[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]
[tex]\rightarrow \sf 5.282647585[/tex]
The whole number is the quotient in any fraction.
How can you find percents
Answer:
To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.
Step-by-step explanation:
. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%
hope this will help