Answer:
y = x³ - 3x² + 4x - 12
Step-by-step explanation:
We are told that the polynomial intercept is 3 degree and has it's intercepts at 2, 2 and 3.
Now, at y - intercept, y = 0m
Thus, the polynomial is;. (x - 2)(x - 2)(x - 3) = 0.
This gives;
(x² - 4x + 4)(x - 3) = 0
This gives;
x³ - 12x + 4x - 3x² + 12x - 12 = 0
x³ - 3x² + 4x - 12 = 0
Hiro rolls a fair pair of six-sided dice. The sample space of all possible outcomes is shown below.
Let AAA be the event that the first die is one and BBB be the event that the sum of the dice is eight.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the first die is one or the sum of the dice is eight?
\qquad
Answer: [tex]\dfrac{11}{36}[/tex]
Step-by-step explanation:
Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36
Let A be the event that the first die is one and B be the event that the sum of the dice is eight.
A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}
P(A)= [tex]=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}[/tex]
B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}
P(B)= [tex]=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}[/tex]
A ∩ B = Ф
P(A ∩ B)=0
P(A or B)= P(A)+P(B)+P(A∩ B)
[tex]=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}[/tex]
Hence, P(A or B) = [tex]\dfrac{11}{36}[/tex]
3/4 of a class are girls. 1/3 of the girls wear bows in their hair. What fraction of the class are girls with bows in her hair
Answer:
Step-by-step explanation:
1/3 * 3/4 = 1/4
Are they Equivalent why or why not?
Answer:
They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5
PLS HURRY
Use the protector to measure the angle.
You are given the task of building detention ponds to remove settleable solids from a small stream prior to discharge into a lake. The ponds must be 2 m deep, the flow in the stream is 20 cfs, the solids settle at a rate of 0.2 m/day, and you must achieve a steady-state removal of 65% of the solids.
a. Determine the size of a single CSTR to achieve the desired removal.
b. Determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal.
Answer:
a) 513775.5 m^3 ≈ 51.38 * 10^4 m^3
b) 256887.75 m^3 ≈ 25.69 * 10^4 m^3
Step-by-step explanation:
Given data :
Depth of pond = 2m
flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day
settling rate = 0.2 m/day
rate constant ( k )= 0.2 / 2 = 0.1 / day
steady-state removal of the solids required = 65%
A) determine size of a single CSTR to achieve 65%
First determine the time required to achieve this using the relation below
C = [tex]c_{o} e^{-kt}[/tex]
∴ t = [tex]\frac{-1}{k}* ln( 1 - 0.65 )[/tex]
= ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day
The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3
B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal
sizes of a pair = 513775.5 / 2 = 256887.75 m^3
4. The costs of different sizes of bottled sport drink are shown. Which bottle costs the least per ounce?
Size
8 oz
16 oz
24 oz
32 oz
Price
$0.89
$1.09
$1.89
$2.39
A. The 8 oz bottle
B. The 16 oz bottle
C. The 24 oz bottle
D. The 32 oz bottle
Given |u| = 8, |v| = 6, and the angle between is θ = 40°, find the approximate value of u · v. 10.72 14.77 36.77 48.77
Answer: 36.77
C) 36.77
It is indeed correct on Edge 2021
Answer:
C
Step-by-step explanation:
Edge 2021
Can someone help me find the value of N in the triangle and round the answer to two decimal places
Answer:
n ≈ 8.54
Step-by-step explanation:
Reference angle = 30°
Opposite side = n
Adjacent side = 14.8
Apply TOA, which is:
Tan 30 = opp/adj
Tan 30 = n/14.8
Multiply both sides by 14.8
14.8×tan 30 = n
8.54478398 = n
n ≈ 8.54 units (to 2 dp)
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
what is the answer to this question
1/2 x -7=1/3(x-12)
Answer:
= 1 8 hope this helps!!! :)
Step-by-step explanation:
1 2 ⋅ −7 = 1 3 ( − 1 2 )
1 2 − 7 = 1 3 −1 2 )
1 2 − 7 = 1 3 − 1 2 )
Multiply by 1
Combine multiplied terms into a single fraction
Multiply by 1
Add to both sides of the equation
Answer:
x = 3/2 = 1 1/2 = 1.5
Step-by-step explanation:
1/2 x -7=1/3(x-12)
Multiply 1/2 and -7 to get -7/2
-7/2 = 1/3(x-12)
Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.
- 7/2 = 1/3(x-12)
Use the distributive property to multiply 1/3 by x−12.
-7/2 = 1/3x + 1/3(-12)
Multiply 1/3 and −12 to get -12/3
-7/2 = 1/3x + -12/3
Divide −12 by 3 to get −4.
-7/2 = 1/3x + 4
Swap sides so that all variable terms are on the left hand side.
1/3x -4 = -7/2
Add 4 to both sides.
1/3x = -7/2 + 4
Convert 4 to fraction 8/2
1/3x = -7/2+8/2
Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.
1/3x = -7+8/2
Add −7 and 8 to get 1.
1/3x = 1/2
Multiply both sides by 3, the reciprocal of 1/3
x = 1/2 x 3
Multiply 1/2 and 3 to get 3/2
x = 3/2
Yesterday, there were 80 problems assigned for homework. Harry did 20% of them correctly. How many problems did Harry get right?
Answer:
16 i think
Step-by-step explanation:
If m 2 n, which inequalities must be true? Check all that apply.
Om + 2.1 > n + 2.1
m - (-4) 2 n-(-4)
m + 3 n-3
16.5 + m > 16.5 + n
1
U
m 2 n +
U
9 + m > 6+n
Answer:
[tex](a)\ m+ 2.1 > n + 2.1[/tex]
[tex](b).\ m - (-4) > n - (-4)[/tex]
[tex](c)\ 9 +m> 6 + n[/tex]
Step-by-step explanation:
Given
[tex]m > n[/tex]
Required
Select true inequalities
[tex](a)\ m+ 2.1 > n + 2.1[/tex]
Subtract 2.1 from both sides
[tex]m > n[/tex]
This is true
[tex](b).\ m - (-4) > n - (-4)[/tex]
Open brackets
[tex]m + 4 > n + 4[/tex]
Subtract 4 from both sides
[tex]m > n[/tex]
[tex](c)\ 9 +m> 6 + n[/tex]
[tex]m> -9+6 + n[/tex]
[tex]m> n-3[/tex]
This is also true
Answer:
A,B,D
Step-by-step explanation:
Can you help me with this question?
Answer:
Step-by-step explanation:
1. A + B
2. 9 + u - 10
3. m - 2 / 2
hurry I'm timed I need the answer asap [tex]2000x9000[/tex]
Answer:
18000000
Step-by-step explanation:
2000 x 9000 = 18000000
9 x 2 = 18
there are 3 0's on the 2 and 3 0's on the 9 so we are going to add them together.
000 + 000 = 000000
put the two answer together and they equal...
18000000
Step-by-step explanation:
2000x9000=18000000is. your answer
— 3х – 6+(-1)
do anybody know this answer
Step-by-step explanation:
its -3x-6+(-1)? if yes please let me know. thanks
Answer:
x = -10
Step-by-step explanation:
First combine like terms; -6 + -1 = -7, since + a negative is just minus.
(So -6 - 1.) Rewrite the equation as -3x - 7. Divide x from both sides, so
-3 - 7 = x. Simplify into x = -10.
I'm so sorry if I'm wrong, I hope this helps though!
47 = 77 - b; 20, 30, 40
Find the distance between A and B.
Ahh I need help
what are the options please ?
find the product. (y+4)(y-1)
Answer:
y^2+3y-4
Step-by-step explanation:
Use FOIL
Hope I helped!
Answer:
[tex]yx^{2} + 3y -4[/tex]
Step-by-step explanation:
Hope this helps! <3
HELPPPPP PLSSSSSSSS!
Answer:
a8 12 16 b.5 65 3
Step-by-step explanation:
ere
PLEASE HELP ASAP!!!!!!! LOTS OF POINTS. WILL GIVE BRAINLIEST
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answer:
I will check back in on this answer im figuring out what the answer is rn
Step-by-step explanation:
Answer:
1. Yes It is a reflection because it’s mirrored across the y-axis.
2. That is a rotation
3. If b is 89 degress. than C should be because of the postions they're in.
4. The perimeter is 26.3.
50 points! Mhanifa please answer I will mark brainliest
Answer:
C. OBTUSE
Step-by-step explanation:
2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.
the answer is a. There is 1 as a right angle.
A teacher wants to split 5 erasers between 2 students equally.
How many erasers will each student get?
Answer:
2.5
Step-by-step explanation
2 divided by five is 2.5
A_________"slides" an object a fixed distance in a given direction *
O translation
O rotation
O reflection
O dilation
the sum of 9/10 and 5/6
Answer:
Step-by-step explanation:
9/10+5/6 =
27/30+25/30 =
52/30 = 1 22/30 =1 11/15
Answer: 26/15
Step-by-step explanation:
1. First find the common denominator, which is 30
2. Add them
3. Simplify (common factor of 2)
[tex]\frac{27}{30} + \frac{25}{30} \\\\\frac{52}{30} \\\\\\\frac{26}{15}[/tex]
Simplify the ratio 100:120
Find the volume of the cone.
2 3 cm
2 cm
V = [?] cm3
Round to the nearest tenth.
Answer: 14.5
Step-by-step explanation:
Answer:
14.5
Step-by-step explanation:
i did it and got it right
Help me pls pls pls
Answer:
Equivalent
Step-by-step explanation:
2(x-3)
2 times x=2x-3
So equal
Answer:
They are not equivalent
Step-by-step explanation:
Because when in the "()" you have to multiply each of the numbers in the bars!!
There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?
Answer:
There are 448 freshmen
Step-by-step explanation:
Which graph displays the solution to the system of equations shown?
Crisette lives miles from the school. She rode her bike of the way and stopped to get ice cream. How far did Crisette ride to get ice cream?
Answer:
The amount is not showing
Step-by-step explanation: