The solution to the inequality will be x ≥ 7. The correct option is B.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality (x-3) 1/2+2 ≥4 will be solved as below:-
(x-3) 1/2+2 ≥4
( x / 2 ) - ( 3 / 2 ) + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) + 4 ≥ 8
x + 1 ≥ 8
x ≥ 8 - 1
x ≥ 7
Therefore, the solution to the inequality will be x ≥ 7. The correct option is B.
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La temperatura en la mañana fue de 5°F sobre cero. A mediodía, la
temperatura fue de 21°F bajo cero. ¿Por cuánto cambió la temperatura?
right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you 2have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the
Sets B and D are subsets of the universal set U.
These sets are defined as follows.
U= {f, k, q, s, x, y, z)
B={k, q, x, y)
D = {f.q, x, y, z)
Find the following sets.
Write your answer in roster form or as Ø.
(a) BnD' = [
(b) (BUD)' = [
Answer:
(a) B ∩ D' = {k}
(b) (B ∪ D)' = {s}
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
U (universal) = {f, k, q, s, x, y, z}B = {k, q, x, y}D = {f, q, x, y, z}Part (a)
[tex]\begin{aligned}\sf B \cap D' & = \sf B \cap \left( \text{U}-D\right)\\ &= \sf \{k, q, x, y \} \cap \left(\{f, k, q, s, x, y, z \} - \{f, q, x, y, z \}\right)\\& = \sf \{k, q, x, y \} \cap \{ k, s \}\\ & = \sf \{k \}\end{aligned}[/tex]
Part (b)
[tex]\begin{aligned}\sf \left(B \cup D\right)' & = \sf \text{U}-\left(B \cup D\right)\\& = \sf \{f, k, q, s, x, y, z \}-\left(\{k, q, x, y\} \cup \{f, q, x, y, z\}\right)\\& = \sf \{f, k, q, s, x, y, z \}-\{ f, k, q, x, y, z\}\\& = \sf \{s\}\\\end{aligned}[/tex]
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Now we have to find,
→ B ∩ D'
→ (B ∪ D)'
Let's solve for the following sets,
a) B ∩ D' = ?
→ B ∩ D'
→ {k, q, x, y} ∩ ({f, k, q, s, x, y, z} - {f, q, x,y,z})
→ {k, q, x, y} ∩ {k, s} = {k}
Hence, the required set is {k}.
b) (B ∪ D)' = ?
→ B' ∩ D'
→ ({f, k, q, s, x, y, z} - {k, q, x, y}) ∩ ({f, k, q, s, x, y, z} - {f, q, x, y, z})
→ {f, s, z} ∩ {k, s} = {s}
Hence, the required set is {s}.
One-stray Problem Solving
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A population of bacteria is growing at an hourly rate of r so that at the end of each hour the population of the sample is multiplied by the growth factor of
z = 1+r. The beginning population is 800 bacteria, an additional 300 are present after 1 hour, and an additional 400 are present after the following
hour.
Write an expression for the population at the end of three hours in terms of the growth factor.
Answer:
1500z
Step-by-step explanation:
Given a bacteria population that is multiplied by z every hour, and the population after 2 hours is 1500, you want the population after 3 hours in terms of z.
ApplicationThe problem statement tells you the population is multiplied by z every hour. After 2 hours, the population is 800 +300 +400 = 1500. After 3 hours, that value will be multiplied by z:
1500z . . . . . population after 3 hours
__
Additional comment
The given values of population tell us z = 1100/800 = 1.375 for the first hour, and z = 1500/1100 ≈ 1.364 for the second hour. The average value of z for the two-hour period is √(15/8) ≈ 1.369. The desired expression could be any of ...
800z³ . . . . . . . population 3 hours after the beginning1100z² . . . . . . . population 2 hours after the first hour1500z . . . . . . . population 1 hour after the second hourPresumably z would have different values in each case, and we hesitate to predict what those values might be. Perhaps the population is being rounded to the nearest 10 or 100.
An exponential regression calculation models the population as ...
p = 801.945×1.36812^t . . . . . . . z ≈ 1.36812
Using this formula, we get the given population numbers by rounding to the nearest 10.
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?
please answer this now!!
Answer:
0.125 liters per day
Step-by-step explanation:
0.5/4=.125
Find the distance between w=1+2i and z=3-i
Answer:
The distance between w=1+2i and z=3-i is 3.61
Step-by-step explanation:
We need to find the distance between w=1+2i and z=3-i
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]
We will use only real numbers and not i for calculating distance.
Putting values and finding distance
[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]
So, The distance between w=1+2i and z=3-i is 3.61
please answer this correctly i'll give u 50 points and brainliest
Answer:
Step-by-step explanation:
Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.
Susan has 4 cup of raisins and she is dividing them into 3/8 cup
servings. How many servings will she have?
Answer:
32/3 servings
Step-by-step explanation:
4 / (3/8) =
(4/1) x (8/3) =
32/3
struggling hard with probability questions, if anyone could help would be greatly appreciated, will give brainiest
The value of the probability is P(Large or Blue) = 7/10
How to evaluate the probability?The given parameters are represented on the table
Using the table parameters, we have
P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total
This gives
P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)
This gives
P(Large or Blue) = 28/40
Simplify
P(Large or Blue) = 7/10
Hence, the value of the probability is P(Large or Blue) = 7/10
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9 1/6 divided by 5 + 3 1/3
Answer: 10 1/3 or 31/3
Step-by-step explanation:
Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)
(55/6 / 5/1) + 3 1/3
(55/6 x 1/5) + 10/3
11/6 + 10/3
To add fraction you have to have the same denominator, so you multiply it till it has the same denominator
11/6 + 20/3
31/3 = 10 1/3 is your final answer
PLEASE IM LITERALLY SO CONFUSED
A toy store is having a sale. A video game system has an original price of $99. If it is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest CENT.
Question 7 of 10
Describe the nature of the roots for this equation. x²+3x-7=0
A. One real, double root
B. Two real, irrational roots
C. Two real, rational roots
D. Two complex roots
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS
Answer:
50= 2x2x5 is the prime factorization of 50.
John bought a used car that costs $13,500. If the sales tax on the car is 8%, how much sales tax did he pay?
Answer:
1,080
Step-by-step explanation:
QUICK MATH
Guess what sport I do and I'll give you brainly :)
Answer:
Gymnastics
Step-by-step explanation:
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
The angle made by the ladder with the ground is
degrees, and the length of the ladder is
inches.
The length of the ladder is 58.31 inches and the angle made by the ladder with the ground is θ = 59.04°.
The distance between the ladder and the wall is 30 inches.
The height at which the ladder touches the wall is 50 inches from the ground.
Let x be the slant height when the ladder touches the wall.
Then, by using a Pythagorean theorem:
(Base)² + (Altitude)² = (Hypotenuse)²
(30)² + (50)² = x²
x² = 900 + 2500
x² = 3400 inches²
x = √[ 3400 inches²]
x = 10√34 inches
x = 58.31 inches
Then the angle made by the ladder with gound is :
tan (θ) = opposite / adjacent
tan (θ) = 50/30
tan (θ) = 5/3
θ = tan⁻¹ ( 5/3 )
θ = 59.04°
Therefore, the ladder is 58.31 inches long and the angle between the ground and the ladder is 59.04°.
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two step inequalities
please help
The Awsome Bowl Factory makes two kinds of bowls. they produce a basic bowl every 6 minutes and a gigantic bowl every 15 minutes. They start at 8:00 a.m. how many minutes after they start will both bowls be produced together?
Answer:
21 minutes or 8:21 a.m
Step-by-step explanation:
6+15=21
A swimming pool has a volume of 32,100 gal. Use the table of conversion facts to find out how many cubic yards of water it would take to completely fill the swimming pool. Round your answer to two decimal places.
158.93 yd³ water it would take to completely fill the swimming pool.
Given that, a swimming pool has a volume of 32,100 gal and we have to find out that how many cubic yards of water it would take to completely fill the swimming pool.
1 cubic yard (yd³) ≈ 201.97 gallon (gal)
So, by using the conversion given above we can simply find the water in cubic yards that it would take to completely fill the swimming pool.
Volume of the swimming pool = 32,100 gal
and we know that, 1 cubic yard (yd³) ≈ 201.97 gallon (gal)
Now, we get
water needed in cubic yards to completely fill the swimming pool
= 32,100/201.97
= 158.93 yd³
Hence, 158.93 yd³ water it would take to completely fill the swimming pool.
Therefore, 158.93 yd³ is the required answer.
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Find the coordinates of the point 7/10 of the way from A to B. The points given are A(-3,-6) , B(10,5)
why the grade tent truck fico duck session duck duck drink dunno rbi Thu to ft ft ft ft tho
If $29 is invested at a simple interest rate of 3% per year, what would the total account balance be after forty-five years?
The total account balance after forty-five years will be $68.15
As per the known facts, the simple interest is calculated using the formula -
S. I. = (P × R × T) ÷ 100, where S.I. is simple interest, P is principal, R is rate of interest and T is time. Keep the values in formula to find the value of interest.
S.I. = (29 × 3 × 45) ÷ 100
S.I. = 3915 ÷ 100
S.I. = 39.15
To calculate the amount, we will simply add the principal and simple interest.
Amount = 29 + 39.15
Amount = $68.15
Therefore, the total account balance after forty-five years will be $68.15.
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PLEASE HELP
1. A car rental company charges $260 per week plus $0.29 per mile to rent a car. How many miles can you travel in one week for $419.5?
a. the equation is ______
b.you can travel _____ miles in one week for $419.5
Compute the probability of flipping a coin once and getting heads, given that the previous flip was tails.
Answer:
the probability to flip a head is 50%
Step-by-step explanation:
I think.
expand and simplify root5(root10+root2)
⚠️NEED HELP ASAP!!!!!⚠️
What value of y makes lines DB and CE parallel?
A.)116
B.)14
C.)6
D.)5
Answer:
C
Step-by-step explanation:
9y-1=180-127
9y-1=53
9y=54
y=6
Answer: B
Step-by-step explanation:
Larry recorded his time as he ran. What was his average speed from hour 2 to hour 4?
Answer:
4-2=2
Step-by-step explanation:
Answer:
7 mph
Step-by-step explanation:
i took the same test on edg
how to explain how you know the midpoint of line segment
Answerits the point that divides the segment into two congruent segments
Step-by-step explanation:
ex. D————-o————-G
The midpoint would be the O. Mid:means Middle
hehehe hope this helps
convert into power notation 81/49
evaluate the expression when c=2
c^2-8c-3
Answer:
-15
Step-by-step explanation:
Replace c with 2,
(2)^2 -8(2) -3 =
4 - 16 -3 + -12
= -15
A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].