Answer:
It would be on the top right
Step-by-step explanation:
As you add more ice cubes, ice has volume as well which will increase the volume of water.
Simplify each radical expression if n is even, and then if n is odd. ⁿ√m³ⁿ
ⁿ√m³ⁿ simplifies to \(|m|^(3/n)\) when n is even and \(m^(3/n)\) when n is odd.
To simplify the radical expression ⁿ√m³ⁿ, we can consider two cases: when n is even and when n is odd.
Case 1: n is even
When n is even, we can rewrite the expression as \(|m|^(3/n)\). In this case, the absolute value is used to ensure that the result is positive, as taking an even root of a negative number would yield complex numbers.
Case 2: n is odd
When n is odd, the expression simplifies to \(m^(3/n)\). In this case, there is no need for the absolute value since the result will be positive or negative depending on the sign of m.
Therefore, when ⁿ√m³ⁿ is simplified, it becomes \(|m|^(3/n)\) when n is even and \(m^(3/n)\) when n is odd. These simplifications assume that m is a real number. It is important to consider the parity of n when simplifying radical expressions, as it affects the resulting expression.
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3(y+3)+7(2y-8)-(y-1)=0
Answer:
We have this equation:
\(3(y+3)+7(2y-8)-(y-1)=0\)
First, we do the parenthesis:
\(3y+9+14y-56-(y-1)=0\\\)
When there is a minus (-) in front of a parenthesis, all signs change inside it:
\(3y+9+14y-56-y+1)=0\\\)
Now we operate:
\(16y-46=0\)
We add 46 on both sides:
\(16y - 46 + 46 = 0 +46\)
\(16y = 46\)
And divide 16 on both sides:
\(\frac{16y}{16}=\frac{46}{16}\)
\(\bol{x = \frac{46}{16}}\) = \(\frac{23}{8}\)
Answer:
Step-by-step explanation:
3(y+3)+7(2y-8)-(y-1)=0
3y + 9 + 14y - 56 - y + 1 = 0
16y - 46 = 0
16y - 46 + 46 = 0 + 46
16y = 46
16y/16 = 46/16
y = 23/8
xy = -x is a linear inequality. O True O False
Answer:
FALSE
Step-by-step explanation:
MARK BRAINLIEST
a recent poll showed what percentage of those between the ages of eight and eighteen could be classified as video game addicts?
The poll's results indicated that approximately 8.5% of individuals between the ages of eight and eighteen could be classified as video game addicts.
This percentage suggests that a significant number of young people are struggling with excessive video game use, which can have negative consequences for their mental and physical health, academic performance, and social relationships.
It's important to note that not all video game use is harmful or addictive. Many individuals enjoy playing video games in moderation, and some even use them as a way to connect with friends and family or improve their cognitive skills.
According to the pie chart the resulting percentage is 8.5%.
However, excessive video game use can lead to addiction, which can be challenging to overcome.
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1+1 i a struggling whit this answer plz help
Answer:
the answer u r looking for is 5 I might be wrong tho lol
In the interval 0 degrees < x < 360 degrees, find the values of x for which tan x = 2.7475. Give your answers to the nearest degree.
Answer:
Thus, the values of x are 70° and 250°
Step-by-step explanation:
Trigonometric Functions
The tangent is defined as:
\(\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}\)
Given a value for the tangent, there are two angles with the same tangent, one of them being \(\theta\) and the other \(\theta\)+180°.
We are given:
\(\tan x=2.7475\)
The angle is the inverse tangent:
\(x=arctan (2.7475)\)
Using a scientific calculator, we find the first angle:
x=70°
The second angle is found adding 180°:
x=70°+180°=250°
Thus, the values of x are 70° and 250°
Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?
The equation of the path of the parabola is y = a(x - 13)² + 27
Given data ,
To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.
The equation of a parabola in vertex form is given by:
y = a(x - h)² + k
where (h, k) represents the vertex of the parabola
Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.
The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:
h = (10 + 16) / 2 = 13
Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)
Now, let's substitute the vertex coordinates (h, k) into the general equation:
y = a(x - 13)² + k
Substituting the vertex coordinates (13, 27)
y = a(x - 13)² + 27
To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).
This means that the highest point (13, 27) lies on the parabola
Substituting the vertex coordinates (13, 27) into the equation
27 = a(13 - 13)² + 27
27 = a(0) + 27
27 = 27
Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number
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Jamie needs to take her dog to the groomer. the groomer charges $25 if the dog is 15 pounds or less. they charge $35 if the dog is over 15 and no more than 40 pounds. if the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is. which function represents the grooming fee, t(x), in terms of weight, x, and how much will jamie pay if her dog weighs 45 pounds?
Answer:45
Step-by-step explanation:
Jamie pay if her dog weighs 45 pounds
f(x) = 25$ , X ≤ 15
35$ , 15 < x ≤ 40
50$ , 50 + 1.5(x - 40)
What is relation and function?A relation between two sets is a group of ordered pairs that each contain one item from both sets. If the ordered pair (x,y) is present in the relation and object x is a member of the first set and object y is a member of the second set, then the objects are said to be connected.
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
According to the given information :if at 25$ the dog is 15 pound or less.
25$ , X ≤ 15
if at 35$ the dog is over 15 and no more than 40 pounds.
35$ , 15 < x ≤ 40
the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is.
50$ , 50 + 1.5(x - 40)
The accurate value cant be calculated.
So ,
f(x) = 25$ , X ≤ 15
35$ , 15 < x ≤ 40
50$ , 50 + 1.5(x - 40)
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The point where the graphs of two equations intersect
has y-coordinate 2. One equation is y=-3x + 5.
Find the other equation if its graph has a slope of 1.
Answer:
Y=X+1
Step-by-step explanation:
Y=2
Slope-intercept form=
Y=Mx +c
First equation
Y= -3x+5
Substituting y=2 in the first equation
2=-3x+5
3x=5-2
3x=3
x=3/3
x=1
Co-ordinates=(1,2)
Second equation
M(Gradient)=1
Y=Mx+c
To find c(Intercept)
2=1(1) +c
2=1+c
2-1=c
1=c
⇔c=1
Equation⇒
Y=Mx+C
Y=1(x) +1
Y=X+1
a.assuming positions zi are independent of one another, having values a/c/g/t with probabilities 0.4/0.1/0.1/0.4, respectively, which pairs of such events are independent?
On solving the provided question, we cans ay that P(A∩B) \(\neq\) P(A)P(B), A, b are not independent sets.
What is sets?A collection of several objects is represented mathematically as a set. Any form of mathematical object can be one of the elements or terms in a set such as variables, other values, points in space, lines, other geometric forms, and symbols. In mathematics, a set is a logically arranged group of things that may be represented by a list or set builder. Curly brackets are typically used to denote sets. An illustration of a set is A = 1, 2, 3, 4. Among the various types of sets are empty sets, finite sets, equivalence sets, equivalence subsets, universal sets, supersets, and infinite sets.
P(A∩B) \(\neq\) P(A)P(B)
A, b are not independent sets
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what is the answer for 8 x 12.231
Answer: 97.848
Step-by-step explanation: you know calculators exist, right?
help please i only have 20 mins left
4748
Step-by-step explanation:
Match each area to the correct polygon on the coordinate plane. Drag the Items on the left to the correct location on the right.
A 6 square units
B 12 square units
C 4 square units
D 5 square units
(33 points and giving brainilest)
A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
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What is the value of the expression -218 - 72 - (-5)?
Answer:
The answer is -285
Step-by-step explanation:
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Answer:
y = -x + 5 or y = -1x + 5
you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk
Step-by-step explanation:
5 (6 - x) = 5 (1 + y)
30 - 5x = 5 + 5y
-5 - 5
25 - 5x = 5y
5y = -5x + 25
5 5
y = -x + 5
someone please help me ASAP!!!
2 + 1.25f = 10 - 2.75f
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
Determine the discriminant for the quadratic equation -3=x^2+4x+1. Based on the discriminant value, how many real number solutions does the equation have ? Discriminant value = b^2-4ac
Answer:
One real root (multiplicity 2).
Step-by-step explanation:
-3=x^2+4x+1
x^2 + 4x + 4 = 0
Discriminant = 4^2 - 4*1*4 = 0
There is one real root (multiplicity 2).
The equation has 1 real solution.
The quadratic function is given as:
\(-3=x^2+4x+1\)
Add 3 to both sides of the equation
\(3-3=x^2+4x+1 + 3\)
This gives
\(0=x^2+4x+4\)
Rewrite the equation as:
\(x^2+4x+4 = 0\)
A quadratic equation is represented as:
\(ax^2+bx+c = 0\)
By comparison, we have:
\(a =1\)
\(b =4\)
\(c = 4\)
The discriminant (d) is calculated as:
\(d =b^2 - 4ac\)
So, we have:
\(d =4^2 - 4 \times 1 \times 4\)
\(d =16 - 16\)
Evaluate like terms
\(d = 0\)
Given that the discriminant value is 0, it means that the equation has 1 real solution.
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How do I solveee?????????? Helppppppppppp
We can find all the roots by factoring each polynomials.
Case A :
A = 2x^4 + x^3 + 5x^2 + 4x - 12
1 is an obvious Root of this polynomial :
2 * 1^4 + 1^3 + 5*1^2 + 4*1 - 12 = 12 - 12 = 0
Thus we have A= (2x^3+3x^2+8x+12)(x-1)
Lets go further now by factoring 2x^3 + 3x^2 + 8x + 12
We can simply group them :
(2x^3 + 3x^2) + (8x + 12) =
x²(2x+3) + 4(2x + 3) =
(2x+3)(x²+4)
To conclude : A = (2x+3)(x²+4)(x-1)
So the roots are : 1, -3/2, 2i and - 2i
Case B :
B = 2x^4 - x^3 + 5x^2 - 4x - 12
An obvious root here is -1 :
same principle applies, we write B = (2x^3−3x^2+8x−12)(x+1)
Finally B = (x²+4)(2x-3)(x+1)
And the roots are -1, 3/2, 2i and -2i
Good Luck
In 2010, there were approximately
50,000,000 latinos in the
united states. at a growth rate
of 2.5% per year, what will the
latino population be in 2020?
a=p(1+r)
The approximate population of the Latinos in the united states, growing at a growth rate of 2.5% per year in 2020 is 64,004,227
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the population of the latinos x years after 2010.
There were 50,000,000 latinos in the united states. at a growth rate of 2.5% per year, hence:
y = 50000000(1.025)ˣ
In 2020 (x = 10):
y = 50000000(1.025)¹⁰ = 64,004,227
The approximate population of the Latinos in the united states, growing at a growth rate of 2.5% per year in 2020 is 64,004,227
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which number is addtive inverse of 5
Answer:
-5
Step-by-step explanation:
Additive inverse is basically the opposite of the given number. So the additive inverse of 5 is -5.
Hope this will help. Please mark me brainliest.
Answer:
- 5
Step-by-step explanation:
The additive inverse is the number added to 5 to give zero, that is
5 + (- 5) = 5 - 5 = 0
Additive inverse is - 5
The data below shows the results that Desean got when he rolled two dice the recorded there total value, by adding the two dice together. What is the experimental probability (as a fraction) of rolling a 5?
the experimental probability of rolling a 5 is 18/200 or 9/100, which can be simplified to 0.09 or 9%.
what is experimental probability ?
Experimental probability is the measure of the likelihood of an event based on actual experimental results or observations, rather than theoretical probabilities. It is calculated by dividing the number of times an event occurs by the total number of trials or observations.
In the given question,
The experimental probability of rolling a 5 can be found by taking the number of times a 5 was rolled and dividing it by the total number of rolls.
From the given data, we can see that a 5 was rolled 18 times out of a total of 200 rolls (sum of frequencies).
Therefore, the experimental probability of rolling a 5 is 18/200 or 9/100, which can be simplified to 0.09 or 9%.
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The graph shows the relationship between time, in hours, and the population, in thousands of a culture of bacteria.
+
45
40
35
30
Population
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Time (hours)
which statement describes the meaning of the point (010) on the graph?
A After 10 hours there are 10.000 bacteria.
B. After 10 hours there are no more bacteria
C The population began with 10,000 bacteria
D. The population is multiplying itself by 10 each hour
Answer:
Option (C)
Step-by-step explanation:
From the graph attached in the picture,
Graph shows the relationship between time and the population of a culture of bacteria.
Option (A).
After 10 hours there are 10000 bacteria.
Since, at t = 0, number of bacteria = 10000.
False.
Option (B).
After 10 hours there are no more bacteria.
Since, from the given graph bacteria population is increasing exponentially every hour.
Therefore, from t = 0, where the population was 10000, bacteria will be much more in the numbers.
False.
Option (C).
The population began with 10000 bacteria.
True.
Option (D).
The population is multiplying itself by 10 each hour.
Since, growth is exponential therefore, bacteria population is growing faster.
False.
Option (C) is the answer.
Analytically show that the equations below represent trigonometric identity statements. 1. sec²θ (1-cos²θ) 2. cosx(secx-cosx) = sin²x 3. cosθ + sinθtanθ = secθ 4. (1- cos∝)(cosec∝+cot∝)= cos∝ tan∝
To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.
Starting with sec²θ(1 - cos²θ):
Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:
(1 + tan²θ)(1 - cos²θ)
= 1 - cos²θ + tan²θ - cos²θtan²θ
= 1 - cos²θ(1 - tan²θ)
= sin²θ
Thus, the equation simplifies to sin²θ, which is a trigonometric identity.
For cosx(secx - cosx) = sin²x:
Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:
cosx(1/cosx - cosx)
= cosx/cosx - cos²x
= 1 - cos²x
= sin²x
Hence, the equation simplifies to sin²x, which is a trigonometric identity.
Considering cosθ + sinθtanθ = secθ:
Dividing both sides of the equation by cosθ, we obtain:
1 + sinθ/cosθ = 1/cosθ
Using the identity tanθ = sinθ/cosθ, the equation becomes:
1 + tanθ = secθ
This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.
Simplifying (1 - cos∝)(cosec∝ + cot∝):
Expanding the expression, we have:
cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝
= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝
= cot∝(1 - cos∝) + cosec∝(1 - cos∝)
= cot∝tan∝ + cosec∝sec∝
= 1 + 1
= 2
Thus, the equation simplifies to 2, which is a constant value.
In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.
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The diagram shows the plans for the triangular park. What is the perimeter of the park?
The perimeter is
The perimeter of the park will be 3x² + 37x - 4.
How to explain the triangle?It should be noted that the perimeter will be gotten by adding all the sides. Therefore, this will be:
= 12x + 15x + 4 + 10x + 3x² - 8
= 3x² + 12x + 15x + 10x + 4 - 8
= 3x² + 37x - 4
In conclusion, the perimeter of the park will be 3x² + 37x - 4.
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I could use some help here
Answer:
3x^3 + 6x^2
Step-by-step explanation:
2x^2 + 3x^3 + 4x^2
Combine like terms
3x^3 + (2x^2+4x^2)
3x^3 + 6x^2
Answer:
b. 6 x² + 4 x³
Step-by-step explanation:
2x ² + 3x³ + 4x²
Combine like terms, we get
2 x² + 4 x² + 3 x³
6 x² + 3 x³
option a and b both are similar.
a-y= b+y/a make y subject
Answer:
y = \(\frac{a^2-ab}{a+1}\)
Step-by-step explanation:
a - y = b + \(\frac{y}{a}\) ( multiply through by a to clear the fraction )
a² - ay = ab + y ( subtract y from both sides )
a² - ay - y = ab ( subtract a² from both sides )
- ay - y = ab - a² ← factor out y from each term on the left side
y(- a - 1) = ab - a² ( divide both sides by - a - 1 )
y = \(\frac{ab-a^2}{-a-1}\) ( multiply numerator/ denominator by - 1 )
y = \(\frac{a^2-ab}{a+1}\)
Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?
Answer:
20
Step-by-step explanation:
Total no of plants in a garden = 36
The ratio of tomato plants to cucumber plants to be 4:5.
Let tomato plants are 4x and cucumber plants is 5x.
ATQ,
4x+5x=36
9x = 36
x = 4
For cucumber plant, 5x = 5(4) = 20
So, there are 20 cucumber plants will be in Reggie's garden
please help!!! i need to show work too!!!
Answer:
1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A
Step-by-step explanation:
1. Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10
2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.
3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.
4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.
5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.
Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.