Precalculus.
Which one of these a whole number?
55
\(\sqrt{3}\)
0.3
\(\frac{1}{4}\)
Do answer.
Answer:
55
Step-by-step explanation:
Since whole numbers do not include fractions and decimal values, 55 is the answer
- 9.9t = - 9.9
solve for t
help i need help look at question
Answer:
A
Step-by-step explanation:
because 12 is the smallest number/angle
Referring to the figure, match the system of linear inequalities with its graph.
We are given the graph of a system of inequalities. We will determine the inequality associated with the graph first, by determining the equation of the lines that are the boundaries of the solution.
To determine the equation of the lines we will use the general form of a line equation using the intercepts form:
\(\frac{x}{a}+\frac{y}{b}=1\)Where:
\(\begin{gathered} a=\text{ x-intercept} \\ b=\text{ y-intercept} \end{gathered}\)For the top graph, we have that the x-intercept is 2 and the y-intercept is 2. Substituting we get:
\(\frac{x}{2}+\frac{y}{2}=1\)Now, we multiply both sides by 2:
\(\frac{2x}{2}+\frac{2y}{2}=2\)Simplifying we get:
\(x+y=2\)Now, since the solution are the points below the line we need to use the symbol "<". Also, since the line is represented using a continuous line this means that the line is included in the solution and therefore, we need to add an equal sign, therefore, the first inequality is:
\(x+y\le2\)Now, we determine the equation of the other line. We notice that the x-intercept is 2 and the y-intercept is -2. Therefore, the equation of the line is:
\(\frac{x}{2}+\frac{y}{-2}=1\)Now, we multiply both sides by -2:
\(-\frac{2x}{2}+\frac{-2y}{-2}=-2\)Simplifying we get;
\(-x+y=-2\)Since the solution is the values above the line we use the symbol ">", therefore, the second inequality is:
\(-x+y>-2\)Therefore, the right answer is C.
Help for brainliest. Hurry
Answer:
B
Step-by-step explanation:
You would need to convert the fractions to a denominator of 15 because it's the closest denominator for both.
So 1 and 2/5 can be changed to 1 and 6/15
And 1 and 1/3 can be changed to 5/15
So what you do is multiply both the numerator and denominator by how much you need to multiply to get to 15 and the denominator.
You would then add the fractions, leaving the answer to be 2 and 11/15
So for example 2 * 3 = 6 and 5 * 3 = 15, meaning the fraction would be 6/15
Find the value of x in the following equation:
1.2(3x + 5) = 3.6x + 6
A:Infinite solutions
b: No solution
c: x = 1.8
d: x = 0
Answer:
A:Infinite solutions
Step-by-step explanation:
1.2 ( 3x + 5 ) = 3.6x + 6
1.2 ( 3x ) + 1.2 ( 5 ) = 3.6x + 6
3.6x + 6 = 3.6x + 6
Answer: A
Step-by-step explanation:
X+4
What is the solution of 2x-1 <0?
-45x5/1/2
0-4
0-45x2
-4
Answer:
-4 < x < 1/2
Step-by-step explanation:
Given the inequality:
\(\displaystyle{\dfrac{x+4}{2x-1} < 0}\)
Where x can not equal 1/2 since it will result the undefined expression. Furthermore, by solving a rational inequality (fractional inequality) is different from solving a linear inequality.
If we assume that for the expression on the left side is always positive, we can say that:
\(\displaystyle{\dfrac{x+4}{2x-1} < 0}\)
However, the expression can remain negative. If a denominator remains somewhat negative and you multiply both sides by the denominator, you'll end up from < to >, basically swap in inequality sign.
Thus. If we let x > 1/2, the interval where the expression is always positive, we can solve the inequality as:
\(\displaystyle{\dfrac{x+4}{2x-1} \cdot \left(2x-1\right) < 0 \cdot \left(2x-1\right)}\\\\\displaystyle{x+4 < 0}\\\\\displaystyle{x < -4}\)
However, this inequality is false so we can say that there's no region where this expression is less than 0 at x > 1/2.
Now let's say that at x < 1/2, the expression will start to remain in negative (although there is an interval that the expression is positive at x < 1/2 but majority negative.) Therefore, let's say:
\(\displaystyle{-\dfrac{x+4}{2x-1} < 0}\\\\\displaystyle{\dfrac{x+4}{2x-1} > 0}\)
When we solve for the inequality, we should have x + 4 > 0 which results in x > -4. When union x > -4 with x < 1/2, it fits perfectly. Thus, the solution is:
\(\displaystyle{-4 < x < \dfrac{1}{2}}\)
Calista was told that she had an average grade of an 82, but not told what she got on her 6th assignment. Calista knows that she got a 62, 88, 92, 74 and 78 on the other 5 assignments.
What was Calista's grade on her last assignment?
Calista's grade on her last assignment is 98.
To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.
The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.
Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.
To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.
To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.
The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.
Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.
To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.
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I’ll make brainly if the answer is right
Help would be kind :)
Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. How many marshmallows did Kimberly have at first?
Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.
What is Kimberly's marshmallows count?Generally, Let's call the number of marshmallows that Kimberly had at first X.
We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.
After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.
We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so
(X - 15) = 3 * (X/2 - 15).
(X - 15) - 3 * (X/2 - 15) = 0
Then, we can simplify the left side of the equation:
X - 15 - 3 * X/2 + 45 = 0
Combining like terms, we get:
-3 * X/2 + X - 15 + 45 = 0
Simplifying further:
-X/2 =-30
X = 60
Therefore, Kimberly had 60 marshmallows at first.
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Which graph shows the image of ∠B after a rotation of 180∘ about the origin
IS IT A B OR C
PICK THE LAST 3 BECAUSE ONE OF THEM IS THE ANSWER
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)
Explain about the angle rotation of 180°:The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.
The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.
It is demonstrated to rotate 180 degrees around the origin.
From the question:
The coordinates of B are - B(1, -8).
Thus, the formula is (x,y)→(−x,−y) for a 180° rotation of the origin.
B' - (-1 ,-(- 8))
B' - (-1, 8)
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)
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Answer:b
Step-by-step explanation:
If the graph of y=-x^2 is translated horizontally 10 units to the right and translated vertically 3 units upwards, what is its new
equation?
Answer:
y=\((x-10)^{2}\)+3
Step-by-step explanation
in order to shift the equation to the right you must subtract a positive number from x (ex: -10)
to shift the equation upwards just add the positive number to the end of the equation (ex: +3)
How many ways can two students be chosen from a group of four?
4
6
14
10
Answer:
6
Step-by-step explanation:
Elaine collects coins. At the beginning of last year, she had 76 coins but by the end of the year, she had 196 coins. Estimate how many coins she collected throughout the year by rounding to the nearest ten and then subtracting.
idek what bread is how am I supposed to explain this I just want points
What is the surface area?
What is the surface area of G
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
Answer:
226 cm^2
Step-by-step explanation:
11*2 + 7*2 + 7*2 + 11*7 + 11*2 + 7*11
= 22+ 14 +14+ 77+ + 22 + 77
= 226
For the algebraic expression: -7+t
Identify the variable
Identify the constant
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note a variable is a alphabet can be assigned to any value, while a constant is a fixed number or value.
Answers:
variable = t
constant = -7
Step-by-step explanation:
So we know that a variable is a letter while a constant is a number
in here -7 is the constant (the number) and t is the variable (the letter)
Therefore, the variable is t and the constant is -7.
Robert is going on a 2-day canoeing trip with his outdoor adventure group. Robert paddled at a constant sped and travels 3/4 of a mile in 15 minutes.
a. Create a table to determine how long it takes Robert to canoe 1 mile.
With a constant speed Robert took 20 minutes paddle.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, Robert paddled at a constant speed and travels 3/4 of a mile in 15 minutes.
We know that, Speed = Distance/Time
Speed = 3/4 ÷15/1
= 3/4 × 1/15
= 1/20 miles per minutes
Now, distance = 1 mile and speed =1/20 miles per minutes
1/20 = 1/Time
Time = 20 minutes
Therefore, with a constant speed Robert took 20 minutes paddle.
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Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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write 615,600 in scientific notation
Answer:
= 6.156 × 105
(scientific notation)
Step-by-step explanation:
= 6.156 × 105
(scientific notation)
= 6.156e5
(scientific e notation)
= 615.6 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 615600
(real number)
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
George Can complete a project in 75 minutes,and if George and Walter both work on the project, they can complete it in 45 minutes. how long will it take Walter to complete the project by himself?
Answer:
It will take Walter 112.5 minutes to complete the project by himself
Step-by-step explanation:
The together rate is the sum of each separate rate.
In this problem:
Together rate: 1/45
George's rate: 1/75
Walter's rate: 1/x
How long will it take Walter to complete the project by himself?
This is x. So
\(\frac{1}{75} + \frac{1}{x} = \frac{1}{45}\)
\(\frac{x + 75}{75x} = \frac{1}{45}\)
\(75x = 45(x + 75)\)
\(75x = 45x + 45*75\)
\(30x = 45*75\)
\(x = \frac{45*75}{30}\)
\(x = 112.5\)
It will take Walter 112.5 minutes to complete the project by himself
1st term of geometric sequence is 1/2 and 9th term is 128. Find sum of 5th term?
Answer:
31/2 or 15½
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = ½
9th term (T₉) = 128
Sum of 5th term (S₅) =?
Next, we shall determine determine the common ratio of the sequence. This can be obtained as follow:
First term (a) = ½
9th term (T₉) = 128
Common ratio (r) =?
T₉ = ar⁸
128 = ½ × r⁸
Cross multiply
r⁸ = 128 × 2
r⁸ = 256
Express 256 in index form with 2 as the base
r⁸ = 2⁸
r = 2
Finally, we shall determine the sum of the 5th term. This can be obtained as follow:
First term (a) = ½
Common ratio (r) =
Number of term (n) = 5
Sum of 5th term (S₅) =?
Sₙ = a[rⁿ – 1] / r – 1
S₅ = ½[2⁵ – 1] / 2 – 1
S₅ = ½[32 – 1] / 1
S₅ = ½ × 31
S₅ = 31/2 or 15½
Thus, the sum of the 5th term of the sequence is 31/2 or 15½
factorize
x²+17x+6 =????
Answer:
x²+17x+6=xx+17x+6=(17+x)x +6=17+xx+6= 17+x²+6=23+x²
=>x²+17x+6=23+x²
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 83
minutes with a mean life of 541
minutes.
If the claim is true, in a sample of 160
batteries, what is the probability that the mean battery life would be greater than 553.9
minutes? Round your answer to four decimal places.
As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
What is probability?Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.
The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.
The standard error of the mean (SE) is calculated as follows:
SE = σ/√n
Where n is the sample size and is the population standard deviation.
SE = 83/√160 = 6.575
Z = (X - μ) / SE
Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.
Z = (553.9 - 541) / 6.575 = 1.94
As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
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Sorting algorithms no unread replies.no replies. we are using and interacting with sorting algorithms in every day life. in your chapter reading this week, you reviewed many sorting algorithms. find an example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms covered in chapter 3. for example, while playing cards you may have found yourself implementing the insertion sort algorithm (without knowing it). for this peer interaction, post your example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms. be sure to provide your us with enough information so that we will thoroughly understand your example and use of a sorting algorithm. once you have made your post, please respond to at least two of your classmates interacting and communicating on the sorting algorithm use in real world context.
A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.
A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.
1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."
2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.
3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).
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2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
Integration of the following function
Answer: None of the above
Step-by-step explanation:
Given
\(\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}\)
\(d\bar{c}=\left ( -6x^{-2}+\frac{1}{6}\right )dx\)
Now, integrating both sides
\(\int d\bar{c}=\int \left ( -6x^{-2}+\frac{1}{6}\right )dx\)
\(\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1\)
\(\bar{c}=6x^{-1}+\frac{1}{6}x+k_1\)
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5