The given inequality is 3x - 12 ≤ -18. To solve for x, we can add 12 to both sides of the inequality to obtain 3x ≤ -6. Then, dividing both sides of the inequality by 3 gives x ≤ -2. Therefore, any value of x less than or equal to -2 will satisfy the inequality.
In solving the inequality, we first used the addition property of inequalities to add 12 to both sides of the inequality. This property states that if a < b, then a + c < b + c, where c is any real number. By adding 12 to both sides, we were able to isolate the variable term on one side of the inequality.
Next, we used the division property of inequalities to divide both sides of the inequality by 3. This property states that if a < b and c > 0, then a/c < b/c. By dividing both sides of the inequality by 3, we were able to solve for x.
Finally, we found that any value of x less than or equal to -2 will satisfy the inequality. This means that the solution set for the inequality is {x | x ≤ -2}. We also verified that x = -2 is a valid solution to the inequality, which confirms our solution.
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Dwayne got a raise, and his hourly wage increased from $12 to $15. What is the percent of change?
A. 20% increase
B. 25% increase
C. 20% decrease
D. 25% decrease
Answer:
B
Step-by-step explanation:
The pay increases, so it clearly cannot be C or D, and 25% of 12 is 3 because 12/4 = 3, so it would have to be B.
She was the first swimmer to cross the
between the two countries.
If you want your complaint to be addressed, you need to go through the appropriate
.
Answer:
Step-by-step explanation:
The word ‘channel’ has multiple meanings which can be discerned based on the context.
What is the thesaurus entry for the channel?
According to the thesaurus, as a noun, the word channel has two meanings. They are-
A pathway that contains water - here the channel is a strait or a small stream of water. The synonyms of the word, in this case, would be - avenue, carrier, route, and tunnel.
A means to achieve something- The synonyms, in this case, are the instrument, medium, and vehicle.
As a verb, the word channel means to direct or to convey something. Thus the synonyms would be to carry and to transmit.
How is ‘channel’ used in the contexts above?
In the sentences above the word, 'channel' is used as follows
She was the first swimmer to cross the channel between the two countries.- Here, the channel is a water body.
If you want your complaint to be addressed, you need to go through the appropriate channel.- Here, the channel is a medium or a route.
what word are you reminded of when you hear the word radian? discuss this with your team and make a conjecture about how this might relate to a way to measure angles. be prepared to share your ideas with the class.
Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.
One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.
Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.
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A culture of bacteria obeys the law of uninhabited growth. If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the culture after 5 hours
The estimated number of bacteria present in the culture after 5 hours as per exponential growth is equal to 5,240.
Initial population size (N₀) = 500 bacteria
Population size after 1 hour (N) = 800 bacteria
let us consider,
N₀ is the initial population size,
N is the population size at a given time,
k is the growth rate constant,
t is the time in hours,
e is the base of the natural logarithm (approximately 2.71828).
To determine the number of bacteria present in the culture after 5 hours,
Use the exponential growth formula for uninhibited growth,
N = N₀ × \(e^{(kt)\)
To find the growth rate constant (k), rearrange the formula as follows,
⇒k = ln(N / N₀) / t
⇒k = ln(800 / 500) / 1
⇒k = ln(1.6)
Using a calculator, we find that k ≈ 0.470
Now, use the growth formula to calculate the population size after 5 hours,
N = N₀ × \(e^{(kt)\)
N = 500 ×\(e^{(0.470 \times 5)\)
N = 500 × \(e^{2.35\)
Using a calculator, we find that \(e^{2.35\) ≈ 10.48
⇒N ≈ 500 × 10.48
⇒N ≈ 5240
Therefore, it is estimated that there will be approximately 5,240 bacteria present in the culture after 5 hours using exponential growth .
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PLEASE HELP SOLVE X AND Y
GIVING 100 POINTS
The value of x in the line is 0.5 units and the value of y is 1.7 units.
How to solve variables in a line segment?The length of the lines are indicated on the diagram. The line below is bisected into two equal halves.
Therefore, let's find the value of x in the line segments.
5x + 8 = 21x
5x - 21x = -8
-16x = -8
divide both sides of the equation by -16
x = -8 / -16
x = 1 / 2
Therefore, let's find the value of y in the line segments.
20y - 2 = 17y + 3
20y - 17y = 3 + 2
3y = 5
divide both sides of the equation by 3
y = 5 / 3
y = 5 / 3 = 1.66666666667 = 1.7
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Suppose X∼N(2,25). What is Prob(X>14.5) ? 0.0062 0.0060 0.0078 0.0018 0.9982
Answer:
(a) 0.0062
Step-by-step explanation:
You want the probability P(X > 14.5) given that X has a normal distribution with mean 2 and variance 25.
P(X > 14.5)This probability can be found using a suitable calculator or spreadsheet. The calculator in the attachment specifies the normal distribution using mean and standard deviation, so we need to find the square root of the variance.
P(X > 14.4) ≈ 0.0062
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If you were to make a quadrilateral by rotating triangle RST 180 about U which type of quadrilateral would form? A. Rectangle B. Square C. Rhombus D. Trapezoid
Answer:
Rhombus
Step-by-step explanation:
A triangle when rotated around any point by 180° forms a Rhombus.
Answer:
Rectangle
Step-by-step explanation:
I got it wrong on math nation and found out the correct answer.
Label the following on the coordinate plane below: quadrant I, II, III, and IV; the origin, the x‐axis, and
the y‐axis. Also, label the sign of the coordinate points found in each quadrant.
Answer:
Quadrant I is located on the top right of the graph (Positive x, Positive y)
Quadrant II is located on the top left of the graph (Negative x , Positive y)
Quadrant III is located on the bottom left of the graph (Negative x, Negative y)
Quadrant IIII is located on the bottom right of the graph (Positive x, Negative y)
The origin is at the center of the graph with (0,0) as its x and y components
Step-by-step explanation: ^^ Please give 5 star and thanks.
Please help me respond this
Option 2 is correct that is 1.79
What is third quartile ?When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).
The quartiles formula is as follows:
Upper Quartile (Q3) = 3/4(N+1)
Lower Quartile (Q1) = (N+1) * 1/3
Middle Quartile (Q2) = (N+1) * 2/3
Interquartile Range = Q3 -Q1,
1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.
Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.
The data set has 8 values.
hence, n = 8; third quartile: 3/4 (n+1)th term
Q3 =3/4 of a term (9) term
Q3 =27/4 th term
Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)
equals 1.76
Thus Q3 is 1.76 that is option 2
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Help me plssssssss ( i need 20 characters)
Answer:
the answer is C
Step-by-step explanation:
this is because it passes the vertical and horizontal line test
Answer:
C
Step-by-step explanation:
Please help me I need help in this please help me and thank you
Answer:
i think we need the
Step-by-step explanation:
coordinates to be able to plot it
3/5 ton elmanın 1/4'ü satılmıştır. Buna gore geriye kaç kilogram elma kalmiştır?
Cevap:
450 kilo
Adım adım açıklama:
Verilen:
Toplam elma tonu = 3/5 ton
Satılan kısım = 1/4 ton
Tonlarca elma kaldı;
(Toplam ton - satılan ton)
Satılan ton:
Satılan kısım * toplam ton
(1/4 * 3/5) ton
3/20 ton
Ton kaldı:
Toplam ton - satılan ton
(3/5 - 3/20)
L.C.M 5 ve 20 = 20
(12 - 3) / 20
9/20 ton
Tonları kg'a çevirmek:
1 ton = 1000 kg
Bu nedenle
9/20 ton = (9/20) * 1000
= 9000/20
= 450 kg
work out the probability that halima at least walks one way
Help Quick im gonna fail
Answer:
A
Step-by-step explanation:
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers
Answer:
26 is a:
B. Whole number
D. Natural number
E. Integer
F. Rational number
Answer:
B, C, D, E, F or all options except A
Step-by-step explanation:
26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on
26 is a whole number.
whole numbers are 0 1 2 3 4 and so on
26 is a real number
imaginary number example: sqrt of -2
natural numbers are numbers going from 1 to infinity
integers are any number that is not a decimal.
26 is rational since it's not irrational.
what is the slope and y intercept of y=6×+2
Answer
m = 6 b =2
Step-by-step explanation:
slope is 6 and y-inter is 2
If f(2)=4, f(5)=8, g(1)=3, and g(3)=2 determine f(g(3))
Since g(3) equals 2 and f(2) equals 4, the final result is 4.
To determine the value of f(g(3)), we need to find the value of g(3) first and then substitute it into the function f.
Given that g(3) = 2, we can substitute this value into the function f. Therefore, f(g(3)) becomes f(2).
We are also given that f(2) = 4.
Therefore, the value of f(g(3)) is equal to f(2), which is 4.
In this case, we are using the concept of function composition. The value of g(3) is found first, which is 2. Then, this value is substituted into the function f.
Function composition allows us to evaluate the result of applying one function to the output of another function.
In this case, g(3) acts as the input to the function f, and the output of g(3) is used to determine the value of f(g(3)).
Since g(3) equals 2 and f(2) equals 4, the final result is 4.
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Mr.Atkinson has 5 lb of dry fish food. He will put an equal amount of food into 3
containers. How much fish food will be in each container?
Answer:
5 times 3 =15lb
Step-by-step explanation:
Which, if any, of the following generalized formulas does not exist for interhalogen compounds? (X and Y represent different halogens.)
XY
XY2
XY3
XY5
All the above can represent stable interhalogen compounds.
All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.
The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.
Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.
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A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Algebraic rule of (4x,4y)
Answer:
The algebraic rule of (4x, 4y) is (4x, 4y).
help me please I will mark brainliest :))
Answer:
MAR = 71°
Step-by-step explanation:
MAE 23°+ EAR 48°= MAR71°
An ice cream factory makes 140 quarts of ice cream in 2 hours. How many quarts could be made in 12 hours? What was that rate per day?
Answer:
840 quarts could be made in 12 hours. The rate per day is 1680 quarts could be made per day.
Step-by-step explanation:
140/2=x/12
reduce/simplify 140/2 to 70
so 70/1=x/12.
cross product
70*12=1*x
840=x
One day has 24 hours,
so we multiply 2 by 12 to get 24,
thus 840*2=1680.
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Phil has budgeted $120 to rent a car during his weeklong vacation. At the rate of $40 for the week plus $0.10 per mile, how many miles can he drive the car and stay within his budget?
Answer: 800 miles
Step-by-step explanation: His budget is $120
He then spends $40 for the week
So that is $80 that he has left
Each mile is only $0.10, so you divide $80 by $0.10
After dividing you get 800
That means that he can drive for 800 miles and still stay within his budget
Answer:
1000 miles
Step-by-step explanation:
What is the complete factorization of
-12 + 3x + 28?
F. (x-4)(x-7)
G. -(x-4)(x + 7)
H. -(x + 4)(x + 7)
J. -(x-7)(x + 4)
Answer:
J. - (x-7)(x + 4)
Step-by-step explanation:
how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.
No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.
Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.
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The complete question is;
How do sociologists know if the sample they are using is representative?
a. If the people in the sample freely volunteered to serve as representatives
b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
c. If the sample has the same mix of people, in the same proportions, as the population being studied
d. If the participants have been interviewed to reveal possible bias.
What type of system of linear equations is this?
Y=3x-1
3x+y=-1
Answer:
B. consistent and dependent.
Step-by-step explanation:
y = -3x – 1
{
3x + y = -1
__________
This system is consistent and dependent because it has an infinite amount of solutions.
The easiest way to tell if the solutions are infinite is if the equations are equivalent.
As you can see, 3x + y = -1 is standard form, while y = -3x – 1 slope-intercept form.
We can tell that they are equivalent by converting the standard form equation to slope-intercept to see that they are equivalent.
All you need to do is subtract both sides by 3x to get the equation with respect to y so that it is slope intercept.
3x + y = -1 → 3x – 3x + y = -1 – 3x → y = -3x – 1.
[y = -3x – 1] = [y = -3x – 1].
Independent = one solution pair.
Inconsistent = no solution pair.
Consistent = at least one solution.
Dependent = infinite solutions.
Please no fakes this is the last of my points please try really hard to figure out this problem. if you don't get it go to another person question then answer it please just dont say idk. im beggin you!!! :(
Answer:
A.
- Line 1 - Dead Sea
- Line 2 - Lake Assal
- Line 3 - Laguna del Carbon
- Line 4 - Death Valley
B.
Lake because it is closer to zero on a number line than Death Valley
C.
-8 < -282 < 0
Hope This Helps! And so sorry it tool me so long to answer!
Four less than the product of one and a number X.
Please help me.
Answer:
x−4
Step-by-step explanation: