Answer:
x³ - 11x² + 41x - 51Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
The polynomial is:
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51—
Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3
Answer:
maybe 13
Step-by-step explanation:
Just number three pls give right answer and will give brainless
Answer:
i think 34
Step-by-step explanation:
because thats the answer i got on calculator
Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2
Answer:
2
Step-by-step explanation:
A red die and a blue die are thrown. What is the probability that the red die comes up 5 or the sum on the two dice is less than four (or both)
Answer:
vA woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
YALL PLS HELP ILL GIVE BRAINLIST I HAVE MATH IN 20 MIN PLS HELP
Answer:
so from one wheel side to the other is 27 inches it makes 15 rotations which means we would do 15 * 27 which is 405in
Step-by-step explanation:
Which of the accounts below are considered accrued expenses?
Answer:
Accrued expenses are those liabilities that have built up over time and are due to be paid. Accrued expenses are considered to be current liabilities because the payment is usually due within one year of the date of the transaction. Accounts payable are current liabilities that will be paid in the near future.
Answer:
Wages expense, Interest expense
Step-by-step explanation:
Mathematics questions are in the image, just answer them and no work included! i'll give brainlist to the most helpful answer!
1. 4
2. 6
3. 10
4. 30
5. 48
6. 55
7. 68
8. 148
9. 102
10. 38
Would appreciate brainly <3
Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.
2/15+5/15
Answer:
7/15
Step-by-step explanation:
2/15 + 5/15 = 7/15
Hoped this helped.
. To do the ham số y = 3x - 3
Step-by-step explanation:
subject arts and architecture what primary
Six players compete in a tournament. Each player plays exactly two
games against every other player. In each game, the winning player
earns 2 points and the losing player earns 0 points. If the game results in
a draw (tie), each player earns 1 point. What is the minimum possible
number of points that a player needs to earn in order to guarantee that
he/she will be champion (i.e he/she has more points than every other
player)?
Step-by-step explanation:
6 players.
every player plays 2 games against every other player.
so, for each player there are 5 "other players" and everybody plays therefore 10 games.
the maximum number of points to get is 10×2 = 20 points.
the question is now not what is the minimum number of points a champion can have.
the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.
so, the study case scenario for the winner is to have only one real competitor for the title.
both players win every game against the other 4 players.
that is already 2×4×2 = 16 points.
and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.
so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.
The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Every player plays 2 games against every other player.
Then there will be 5 players left who will 10 games
So, the maximum number of points = 10*2 = 20
winning player earns 2 points
as, both players win every game against 4 players.
which gives = 2×4×2 = 16 points.
Now, in remaining two game the winner needs at least 1 win and 1 tie
which needs 3 more points.
Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.
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A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
pls help :) not understanding this thank you!!!
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
Would love it if your able to help me :)
Answer:
x = 2.83163
Step-by-step explanation:
Have a nice day!
and if you have questions on how I found it please ask.
Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?
Answer:
Step-by-step explanation:
$63.03 money
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green
Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)
The fence around the edge of the garden is 17.86 m long.
The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.
Since the radius is 5 units long, its length r = 5 m.
The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)
So, the length of the fence L' = L + r + r
L' = L + 2r
L' = rθ + 2r
L' = r(θ + 2)
Substituting the values of the varaibles into the equation, we have
L' = r(θ + 2)
L' = 5 m(π/2 + 2)
L' = 5 m(1.571 + 2)
L' = 5 m × 3.571
L' = 17.855 m
L' ≅ 17.86 m
So, the fence around the edge of the garden is 17.86 m long.
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What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?
They all have a difference of 13.
So each time 13 is added to get the next number.
) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings
A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes longer to travel a distance of 12 miles
upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that day?
By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.
When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.
So upstream the speed is:
(14 mi/h - S)
Downstream the speed is:
(14 mi/h + S)
Where S is the rate of current in the stream.
We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:
(14 mi/h + S)*T = 12 mi
(14 mi/h - S)*(T - 15 min) = 12 mi
To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:
T = (12 mi)/(14 mi/h + S)
Replacing that in the other equation we will get:
(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi
Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)
Also notice that the speeds are in hours, so we can rewrite:
- 15 min = -0.25 h
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)
168 mi^2/h - 12mi*S + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S
- 12mi*S + 49mi^2/h - 0.25h*S^2 = 12mi*S
-24mi*S - 0.25h*S^2 + 49mi^2/h = 0
This is a quadratic equation, the solutions are:
[tex]S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)} }{2*-0.25h} \\\\S = \frac{24mi \pm 25 mi }{-0.5h}[/tex]
We only take the positive solution, so we get:
S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h
The rate of current in the stream is 2 mi/h.
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What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22
Answer:
D
Step-by-step explaination:
Can anyone help me answer this
Answer:
(-4;5)
Step-by-step explanation:
Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:
3 * (-4) - 2 * 5 = -12 - 10 = -22
rlly quick what's the answer to this?
Answer:
4, which is A
Step-by-step explanation:
Answer:
first we divide 256 divided by 16 =
16
then we square root it to get
4(a)
Hope This Helps!!!
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?
Answer: $63.03
Step-by-step explanation:
$67.82 - $4.79 = 63.03
solve pls brainliest
Answer:
7
Step-by-step explanation:
To find what 1/8 of 56 is, we can multiply it by 1/8. This makes it 56/8. Dividing 56 by 8 gives 7.
someone please please help me
Answer:
11
Step-by-step explanation:
с
6
D
15
8
B
?
А
1) Find the missing side length.
es
A) 14
B) 16
18
D) 20
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its
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3
Answer:
The answer would be 19
Step-by-step explanation:
Using pythagoras theorem
15+6= 21
a^2+b^2= c^2
In this scenario,
c^2-a^2= b^2
Meaning it would be 21^2+8^2
= 377
Square root of 377 would be 19.416
?= 19.416
The missing side length of the right angle triangle is 20
How to solve missing sides using Pythagoras theoremPythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.
The diagram is a right angle triangle with sides AB, BC and CA.The longest side is BCBC² = AB² + CA²
(15 + 6)² = x² + 8²
21² = x² + 8²
21² - 8² = x²
441 - 64 = x²
377 = x²
find the square root of both sidesx = √377
x = 19.41648783894759891856148511263886343
Approximately to the nearest whole number
= 20
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answer this question fast
At the beginning of spring, Caroline planted a small sunflower in her
backyard. When it was first planted, the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
How tall would the sunflower be after 10 weeks? How tall would the
sunflower be after w weeks?
Height after 10 weeks:
Answer:
After 10 weeks: 40 inches
Step-by-step explanation:
Equation
15 + 2.5w = h
15 = beginning height
2.5 = rate per week
w = weeks passed
h = total height
Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard
The initial height of the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
We need to find the height of the tree after 10 weeks.
15+2.5(10)
15+25
40 inches tall after 10 weeks.
the sunflower height after w weeks
15+2.5W
Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
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