Answer: 2
Step-by-step explanation:
Given
The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]
According to the remainder theroem
[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]
Put [tex]x=1[/tex] in the polynomial to get the remainder
[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]
So, we get the remainder 2.
True or false question. In Standard form, the number 3.5 *10^4 is 3,500.
Answer: False
Step-by-step explanation:
10^4=10000. 10000*3,5=35000.
Answer:
No, you missed a zero.
Step-by-step explanation:
In the given case, as we have the number as
3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means
35000.0
Hence in standard notation
3.5 × 10^4=35,000
round 0.982 to 2 decimal places
Answer:
0.98
Step-by-step explanation:
0.982,0.98()2 (round up if 5+ down 4-) 0.98
The number 0.982 rounded of to two decimal places will be 0.98.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
The digit 5 acts as a limit.
if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.
Hence, the number 0.982 rounded of to two decimal places will be 0.98.
Learn more about Rounding Numbers here:
https://brainly.com/question/1285054
#SPJ2
A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters.
d = 17.3 m
Step-by-step explanation:
We can extend Pythagorean theorem to 3 dimensions by writing
[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]
or
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Since we are dealing with a cube of side 10 m, then
x = y = z = 10 m
so we get
[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]
or
[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]
This becomes
d = 17.3 m
You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.
Answer:
5 jump shots.
Step-by-step explanation:
Let l = number of layups and j = number of jump shots
l + 2j = 21
11 + 2j = 21
2j = 10
j = 5
5 jump shots are needed to win the game and not go over 21 points.
please help confused tyy
A cylinder has a radius of 6 and a height of 10 find the volume
Answer:
30cm
Step-by-step explanation:
Vn = Vc
1/3 X Pie x 6^2 x hn = Pie x 6^ x 10
hn = 30cm
Given: Radius=7cm,
Height=10cm
Volume of the cylinder=πr2h
=722×7×6×10=1540cm3
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
Answer:
10√3m
Step-by-step explanation:
Given :-
Angle of elevation = 60° Distance between man and pole = 60°We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,
=> tan 60° = p/b
=> √3 = h / 10 m
=> h = 10 m× √3
=> h = 10√3 m
Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4
Step-by-step explanation:
The given points son the line are; (10, 4), and (6, 3)
The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, the slope of the found line is given as follows;
(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)
[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4
Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
Answer this wuestion for me man
Answer:
The length of ribbon is [tex]\sqrt{32}[/tex].
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]
what is 55 degrees in radian measure as a multiple of pi
Evaluate expression- Which of these answer choices are correct answer to the question
Answer:
i=10^5
eq is 2^n*i
hence 2^3*10^5
8*100000
=800.000 bacteria
pls mark as brainliest
Please help if you can!
Answer:
D: 78 ft2
Step-by-step explanation:
6x13=78
Answer:
Rectangle
Result
Area = l × w
= 13 × 6
= 78 feet2
Step-by-step explanation:
#Brainliestbunch
please help find x!!
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
Help, please. I really need help one this
Answer:
2#) 20f+15-2f
18f+15
2#) choose 1
3#)60-3h-9
51-3h —> 3(17-h)
3#)choose 1
4#) 4(5x+3y)
20x+12y
4#)choose 4
5#) r+3r+ _=6r
6r-4r= 2r
5#)choose 4
Only point (1 ) I didn't know I'm sorry
help meee it's pythagorean theorem, just need answers plsssssss
Answer:
Hi, there your answer is C or D and the second page is C
Step-by-step explanation:
what additional information is needed to prove the triangles congruent by AAS
Answer:
pq=su
Step-by-step explanation:
its the only one that makes sense
Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
What is parallel to y=-5+4.2x
Pleaseee HELP ASAP !!!
Answer:
A: (x-5.5)^2 + (y-4)^2=12.25
Step-by-step explanation:
- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?
- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?
Please help me with these two. I will mark you as brainly
14cm and 31cm and 34cm equal
Answer:
if its addition then it will be 79cm
someone help tysm will give brainliest !!
Answer:
11. A) x = 2 . B) x=-1 . C) x = 0
12. A) y = 20 . C) y = -3 . D) y = 0
Step-by-step explanation:
When the line is vertical, take the x coordinate
When the line is horizontal, take the y coordinate
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HELP ME WITH THIS ILL MAEK U THE BRAINLIEST
Answer:
Maria answers 85% of the questions correctly
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions : 100%
17 questions : ?%
she was 85% right
hope this helps :)
Answer:
E. 85%
Step-by-step explanation:
Total Answers: 17 + 3 = 20
Maria answered 17 questions correctly
(17 ÷ 20)×100 = 85%
Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (o)
Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31
Answer:
26 cm
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]24^2+10^2=c^2[/tex]
576 + 100 = 676
[tex]\sqrt{676}[/tex] = 26 cm
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
Nick has an album that holds 800 coins each page of the album holds eight coins is 82% of the album is empty how many pages are filled with coins
Answer:
18 Pages are filled with photos because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
Step-by-step explanation:
Because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
Please help will give branliest
Answer:
ok
8^7*512/262144=4096
8^4=4096
?=4
Your Welcome
BIFFY OUT!!!