Answer:
Step-by-step explanation:
The base is made of a square that is 2 meters by 2 meters.
Base = 4 m^2
The height of the water is 60 cm
60 cm// 100 cm/meter = 0.6 meters
Volume = Base * height
Base = 4m^2
height = 0.6 m
Volume = 4 * 0.6 = 2.4 m^3
what is the expanded form of 203,574
Expanded Notation Form:
203,574 =
200,000
+ 0
+ 3,000
+ 500
+ 70
+ 4
Expanded Factors Form:
203,574 =
2 × 100,000
+ 0 × 10,000
+ 3 × 1,000
+ 5 × 100
+ 7 × 10
+ 4 × 1
Expanded Exponential Form:
203,574 =
2 × 105
+ 0 × 104
+ 3 × 103
+ 5 × 102
+ 7 × 101
+ 4 × 100
ANSWER QUICKLY!!!!!
Given the polynomial function
f(x)=x3−4x2+x+6
1) Name all of the possible rational roots for the function using the Rational Root Theorem.
2) Prove 2 is one of the zeroes of this function (show or describe your process).
3) Name all of the actual roots of this function and describe how you found them.
4) Write the original polynomial function f(x)=x3−4x2+x+6 in factored form.
Answer:
1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant
2. The polynomial is easier to evaluate when it is written in Horner form:
f(x) = ((x -4)x +1)x +6
To show that 2 is a zero, we want to find f(2):
f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0
f(2) = 0, so 2 is one of the zeros of this function
3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...
x = 2 (from above), x = 3, x = -1 (from our factorization)
4. In factored form, the polynomial can be written ...
f(x) = (x +1)(x -2)(x -3)
The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).
The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.
There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.
??????????????????????
Answer:
f(x) = x^(1/3) -3
With a translation of three down
2x=14−2
Find the value of x
Don't give wrong answer
Answer:
[tex]\sf\longmapsto \: x = 6[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 12[/tex]
[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]
[tex]\sf\longmapsto \: x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hey there,
[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
What are the leading coefficient and degree of the polynomial?
v +9-45-124
Answer
5x
Step-by-step explanation:
A theme park has a Ferris wheel that takes 2 minutes to go around its 450-foot circumference. The equation · (130) = 450 relates the speed of the Ferris wheel to its circumference. What exactly does represent?
Answer: The Ferris wheel’s speed in feet per hour.
Step-by-step explanation:
solve the following system of equations for all three variables.
-9x-y+2z= -4
-6x+y+5z= 2
-4x+y+5z= 6
Answer:
x=2, z=4, y=-6
Step-by-step explanation:
Add
-9x-y+2z= -4
-6x+y+5z= 2
-9x-6x is -15x
-y+y is 0
2z+5z is 7z
-4+2 is -2
So the equation now looks like this: -15x+7z=-2
Subtract
-6x+y+5z= 2
-4x+y+5z= 6
So the equation will look like this:
-6x+y+5z= 2
-(-4x+y+5z= 6)
-6x+4x is -2x
y-y is 0
5z-5z is 0
2-6 is -4
So the equation now looks like this: -2x=-4
You can find x by dividing -2 on both sides:
x=2
So 2 is x
Now you can substitute x into 2
-15(2)+7z=-2
-30+7z=-2
7z=28
Divide 7 on both sides:
z=4
So now you can substitute z into 4 (For any of the three equation)
-4(2)+y+5(4)=6
-8+y+20=6
20 minus 8 is 12
y+12=6
Subtract 12 on both sides:
y=-6
So the answers are
x=2, z=4, y=-6
Hope this helps!
Part A and Part C the same? Why or why not?
Answer:
is part 1 and part 3 the same, no
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
A rectangle is 51.6 cm tall and 45.6 cm wide. If it is reduced to a width of 3.8 cm, then how tall will it be?
Answer:
jjdttfyuy
Step-by-step explanation:
4) Which number is a factor
of 24 but not a multiple
of 6?
Solve the equation if 0°≤x≤360°*tan x =√3
Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.
Tan x = the opposite side of angle x divided by the adjacent side of angle x
The tangent is √3 when x = 60° or π/3
However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?
This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)
***I am assuming that the negative sign should be outside of the square root sign***
I when I'm 10, my brother is half of my age. How old is my brother if I am 44 now
Answer:
Step-by-step explanation:
A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.
Answer:
39 years old
It could be;
10 ÷ 1/2 = 5
Age difference= 10 - 5= 5 years
So, 44 - 5 = 39 years old
please help me with this sum
Answer:
1. 384
2. 180
3. 324
4. 648
5. 476
6. 528
7. 294
8. 384
9. 414
10. 80
11. 72
12. 301
13. 222
14. 146
15. 156
16. 270
17. 283
18. 300
19. 292
20. 58
21. 64
22. 138
23. 296
24. 170
Hope it helps you
Select True or False for each statement pls.
Statement 1: False
Statement 2: True
Statement 3: True
n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.
The medal category in which the United States far outperformed its closest competitor is the gold medal category.
In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.
Gold medal
Medals US got = 1022
Medals the closest competitor had = Soviet Union = 440
Difference = 1022 - 440 = 582 medals.
Silver medals
Medals US got = 794
Medals the closest competitor had = Soviet Union = 357
Difference = 794 - 357 = 437 medals
Bronze medals
Medals US got = 704
Medals the closest competitor had = Germany = 349
Difference = 704 - 349 = 355 medals
Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults
I'll give Brainliest, I need this now. :D
Answer:
I think it's 6:3=18:9=54:27
Step-by-step explanation:
I hope this helps!
3) A local meteorologist measured the rain during a storm and recorded it on a graph. At what
rate did the rain fall?
50 POINTS PLEASE HELP ASAP THANK YOU
Answer:
The rain fell at 2cm per hour
Answer:
A) 2 cm per hourStep-by-step explanation:
Use two ordered pairs from the graph to find the rate of change:
(0, 0), (1, 2)m = 2/1 = 2Correct choice is A
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
According to the question given,
[tex]\sf\longmapsto \: emigrants=-5000[/tex]
[tex]\sf\longmapsto \: Immigrants = 100000[/tex]
[tex]\sf\longmapsto \: Death -350000[/tex]
[tex] \sf \longmapsto \: Birth=600000[/tex]
Now let's solve out and get the result!
The change of population:
[tex] \sf \longmapsto600000-350000 + 100000 - 5000=350000[/tex]
The total population at the end of the year:
[tex]\sf\longmapsto \:2000000 + 350000 [/tex]
[tex]\sf\dashrightarrow2350000[/tex]
Hence the total population at the end of the year is 2350000.At the end of the year, the population will be 20,345,000.
The rate of change in population is 1.75%.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given information are,
Total population of the country initially = 20,000,000
Total number of births during the year = 600,000
Total number of deaths during the year = 350,000
Number of immigrants = 100,000
And number of emigrants = 5,000
The population at the end of the year
= 20,000,000 + 600,000 - 350,000 + 100,000 - 5,000
= 20,345,000
At the end of the year the population will be 20,345,000.
The increase in population = 20,345,000 - 20,000,000
= 345,000
the rate of increasing = 345000/20000000)x100 = 1.75%
The rate of change per year is 1.75%.
To know more about Rate on:
https://brainly.com/question/16150007
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please help me with this sum I will mark you as braines t
Answer:
1.)1804
2.)1827
3.)2286
4.)1473
5.)6489
6.)3448
7.)1122
8.)5467
9.)4755
10.)1524
Step-by-step explanation:
hope it helps:)
Please help with this question! (Brainliest)
Answer: -45j -9k
Step-by-step explanation:
Answer:
-45j - 9kStep-by-step explanation:
[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]
You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?
Based on the information given, the length of fabric that's needed will be 288 inches.
From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:
= 72 inches × 4
= 288 inches.
Therefore, the length of fabric that's needed will be 288 inches.
Read related link on:
https://brainly.com/question/24429956
A has a volume of 264 cm3
B has a volume of 891 cm3
A has a height of 8 cm
Work out the height of pot B.
Answer:
27 cm
Step-by-step explanation:
the radious of the pot:
[tex]v=\pi r^{2} h[/tex]
[tex]264=\pi r^{2} (8)[/tex]
[tex]r^{2} =\frac{264}{8\pi }[/tex]
The height of pot B
[tex]891=\pi (\frac{264}{8\pi })h[/tex]
[tex]891=(\frac{264}{8} )h[/tex]
[tex]h=\frac{(891)(8)}{264} =27[/tex]
I hope this help you
If y varies directly with x which equation describes x = 72 and y = 36?
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
What is the volume of the basement?
Volume = Length × Breadth × Height
So you are absolutely right, it is 252 yards squared
4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations
4. -17/3
5. -20
6. 10
7. -14
8. -11
9. -25
10. -30
11. -25
12. 22
13. 14
14. -15
15. -10
can someone plz help me with this!!!
2 is the correct answer of this question
3/5 of 2 kg
what is the answer
Answer: 1.2 kilograms Brainliest please happy to help
Step-by-step explanation:
solve pls brainliest
Answer:
53cm
Step-by-step explanation:
11+8+8+11+15=53cm
How do I find the standard deviation?
Answer:
Step-by-step explanation:
Work out the Mean,
Then for every number, subtract the Mean and square the result.
Then work out the mean of those squared differences
and then take the square root of that.
Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job?
Answer:
15
Step-by-step explanation:
30 men = 20 days
40 men= ?
1man =30×20= 600
=600÷40= 15
40 men = 15 days
i' m not really sure if it is wrong sorry