The intervals which the original function f(x) concave down are (-5, -2) and (3, 5)
How to determine the intervals which the original function f(x) concave down?The information that completes the question are added as an attachment
The question requires that we determine the intervals which the original function f(x) concave down
From the attached graph, we have the following turning points
(-2, -4) and (3, 2)
From the domain of the graph, the curve starts at (-5, 0), turns at (-2, -4), also turns at (3, 2) and then stops at (5, 0)
So, we have:
(-5, 0), (-2, -4), (3, 2) and (5, 0)
Remove the y coordinates
x = -5, -2, 3 and 5
Express as intervals
(-5, -2) and (3, 5)
Hence, the intervals which the original function f(x) concave down are (-5, -2) and (3, 5)
Read more about function intervals at:
https://brainly.com/question/18121922
#SPJ1
Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?
Answer:
Step-by-step explanation:
x+y = 360
y = 360-x
x = 4y-10
x = 4(360-x)-10
x = 1440-4x-10
5x = 1430
x = 286°
Answer:34
Step-by-step explanation:
Find the value of x.
30.
adj
32
54°
X
(32) Tansy = x
32
3
oppos
113
As Tan A=Perpendicular/Base, x has the value of 21.56. Tan 54 = x/32, or x = 21.56, in this case.
Is perpendicular always at a 90-degree angle?When two lines cross at a 90-degree angle, they are said to be perpendicular. The definition of a parallel line is a line with constant spacing. being perfectly vertical or upright: making a straight angle with one another or another given line or plane. Adverbial phrase meaning "perpendicularly"
What angle is perpendicular to another?As a result of two lines meeting at a right angle, the word "perpendicular" denotes "at right angles." Including up and down, across, and side to side, perpendicular lines can face in any direction. Additionally, they don't need to be standing straight up from the bottom or side of the page.
To know more about Perpendicular visit:
https://brainly.com/question/11707949
#SPJ1
An industrial psychologist consulting with Lara music stores knows that the average number of complaints management receives each month throughout the industry is 6, but the standard deviation is unknown. Twenty of the Lara music stores were randomly selected to record complaints for one month; the mean of this sample was 3 and its standard deviation was 1.5. Using the .05 significance level, is the number of complaints received by Lara music stores different from the number of complaints received by music stores in general
Answer:
Step-by-step explanation:
H0 : μ ≥ 6
H1 : μ < 6
Test statistic :
n = 20
Sample Mean, x = 3
σ = 1.5
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (3 - 6) ÷ 1.5/sqrt(20)
Test statistic = - 3 / 0.3354101
Test statistic = −8.944271
Since, sample size is < 30 ;
Obtaining the Critical value using the from T;
Tcritical at 0.05, df = 19 = - 1.729
Tstatistic < Tcritical
−8.944271 < - 1.729
Hence, we reject the Null:
We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.
Need help finding the value for A
Answer:
\(\text{n}(A \bigcup B)\) = 6.
Step-by-step explanation:
We are given that n(A) = 4, n(B) = 5, and \(\text{n}(A \bigcap B)\) = 3.
And we have to find the value of \(\text{n}(A \bigcup B)\).
As we know that the union formula is given by;
\(\text{n}(A \bigcup B) = \text{n}(A) + \text{n}(B) - \text{n}(A \bigcap B)\)
Now, substituting the values given in the question in the above formula, we get;
\(\text{n}(A \bigcup B) = 4+5-3\)
\(\text{n}(A \bigcup B) = 9-3\)
\(\text{n}(A \bigcup B) = 6\)
Hence, the value of \(\text{n}(A \bigcup B)\) = 6.
The function
E(t)=3818−77.7t gives the surface elevation (in feet above sea level) of Lake Powell t years after 1999.
he surface elevation of Lake Powell is
Select an answer at a rate of Select an answer
The equation indicates that the surface elevation decreases over time since the coefficient of t (-77.7) is negative.
The surface elevation of Lake Powell can be determined by evaluating the function E(t) = 3818 - 77.7t, where t represents the number of years after 1999.
To find the surface elevation at a specific time, substitute the value of t into the equation and solve for E(t).
However, since no specific value of t is provided, we cannot determine the exact surface elevation of Lake Powell without additional information.
In general, the equation E(t) = 3818 - 77.7t represents a linear relationship between time (t) and the surface elevation (E) of Lake Powell. The equation indicates that the surface elevation decreases over time since the coefficient of t (-77.7) is negative.
To determine the rate at which the surface elevation is changing, we can look at the coefficient of t (-77.7). In this case, the coefficient indicates that the elevation decreases by 77.7 feet per year.
If you provide a specific value for t (number of years after 1999), I can calculate the corresponding surface elevation of Lake Powell using the given equation.
for more such question on surface visit
https://brainly.com/question/16519513
#SPJ8
Using traditional methods, it takes 100 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 99 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places.
The value of the Test statistic =z=-1.67
We have the value of sigma = 6, n = 260
In a hypothesis test, a test statistic—a random variable—is computed from sample data. To decide whether to reject the null hypothesis, you can utilize test statistics. Your results are compared to what would be anticipated under the null hypothesis by the test statistic. The p-value is computed using the test statistic.
Now using the formula of Test static
Test statistic will be: \(\mathrm{z}=\frac{\overline{\mathrm{x}}-\mu}{\frac{\sigma}{\sqrt{\mathrm{n}}}}\\\)
Where, n = total number of sample = 100
\(\bar x\) = mean of the given data
\(\mu\) = total number of hours taken to receive a basic driving licence.
So, putting the value given in the question,
We will get the value of test static as:
\(=\frac{99-100}{\frac{6}{\sqrt{260}}}=-1.67\)
For more questions on Test static
https://brainly.com/question/15110538
#SPJ4
Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
To learn more about matrix visit:
https://brainly.com/question/29132693
#SPJ1
What is the measurement of the exterior angle in the diagram below?
A. 100
B. 30
C. 70
D. 88
Answer:
c
Step-by-step explanation:
i go to norcross high school btw . smh ;)
The value of exterior angle is 100
What is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Given:
angle 1 = 30
angle 2 = 7x
exterior angle= 10x
Now using exterior angle property
10x= 7x+30
3x= 30
x=10
Hence, the exterior angle is 10x= 100 degree
Learn more about exterior angle property here:
https://brainly.com/question/28033970
#SPJ2
Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
-4
-1
-2
The slope of the line on the graph will be a negative one. Then the correct option is A.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the two points are (-2, 2) and (2, -2). Then the slope is given as,
m = (- 2 - 2) / (2 + 2)
m = - 4 / 4
m = - 1
The slope of the line on the graph will be a negative one. Then the correct option is A.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ1
The complete question is attached below.
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
\(=-6w^2-31w-35\)
Step-by-step explanation:
Apply Foil.
\(\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=-6w^2-31w-35\)
There are 8 blue candies, 5 pink candies, 1 white candy, and 6 green candies in a candy jar. You reach in, without looking, and take one. What is the probability that you will choose a green candy? Report your answer as a percent.
Answer:
30%
Step-by-step explanation:
Find the total number of candies in the jar.
8 + 5 + 1 + 6 = 20
The probability of choosing a green candy is 6/20 = 3/10 = .3 = 30%
y =- 1(x3 - 5x?1(x3 - 5x2 + 6x - 30)(x² - 16)what’s the leading coefficient of the polynomial function and the end function based on the degree and the coefficient?
The leading coefficient is - 1. (The highest degree is the 5th degree)
\(\text{leading term =-x}^5\)Degree : odd
\(\begin{gathered} as\text{ x}\rightarrow-\infty,then\text{ y=}\infty \\ as\text{ }x\rightarrow\infty,then\text{ y=-}\infty \end{gathered}\)Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5 2.Combine like terms on each side: 11x – 9 = 16x + 11 3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11 Use the subtraction property of equality to isolate the constant: –20 = 5x 4. Use the division property of equality to solve: = x
Answer:
it should be -4=x.
Answer: -4
Step-by-step explanation:
A rectangle has an area of 108 square
centimeters. Its width is 9 centimeters.
What is the perimeter of the
rectangle?
Therefore, the perimeter of the rectangle is 42 centimeters.
What is area?The concept of area is used in many areas of mathematics, science, and everyday life. It is used in geometry to calculate the area of various shapes, such as triangles, circles, and polygons. It is also used in physics to calculate the amount of surface area of an object that is exposed to air or water, and in architecture and engineering to determine the amount of material needed to construct a building or structure.
Here,
To find the perimeter of a rectangle, we need to know its length and width. We are given that the width of the rectangle is 9 centimeters, and the area of the rectangle is 108 square centimeters.
We can use the formula for the area of a rectangle:
Area of rectangle = length x width
Plugging in the values we have:
108cm² = length x 9cm
Solving for the length, we can divide both sides by 9cm:
length = 108cm² / 9cm
length = 12cm
So, the length of the rectangle is 12 centimeters.
To find the perimeter of the rectangle, we can use the formula:
Perimeter of rectangle = 2 x (length + width)
Plugging in the values we have:
Perimeter of rectangle = 2 x (12cm + 9cm)
Perimeter of rectangle = 2 x 21cm
Perimeter of rectangle = 42cm
To know more about area,
https://brainly.com/question/20693059
#SPJ1
Is AB a tangent? Why or Why not? (Hint: use Pythagorean Theorem)
Answer:
AB is not a tangent. The lengths 4, 12, and 13 do not form a right triangle.
√(4^2 + 12^2) = √160, which is not equal to 13.
Answer:
No
Step-by-step explanation:
if AB is a tangent the the angle BAC = 90°
using Pythagoras' theorem
then square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 13² = 169
AB² + AC² = 12² + 4² = 144 + 16 = 160
since BC²≠ AB² + AC²
then Δ ABC is not a right triangle so AB is not a tangent
A recipe for fruit punch calls for 8 cups of Sprite for every 12 cups of fruit
juice. Which equation can be used to find x, the percent of fruit juice in the
recipe?
Answer:
96 or 20
Step-by-step explanation:
12 x 8 = 96 and 12 + 8 = 20
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
1. Lin runs 2 miles in 2/5 for an hour, Tyler runs 8 2/4 miles in 4/3 of an hour. How long
does it take each of them to run 10 miles at that rate?
I have two questions
1.
In the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)}. Choose the domain from the options below
(2 Points)
{2,0,3,1,2}
{2,0,3,1}
{1,1,3,10,5}
{0,1,2,3}
2.
Is the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)} a function?
True
False
1. The domain will be {0, 1, 2, 3}. Thus, the correct option is D.
2. The relation is not a function. Thus, the statement is false.
1. In the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)}. Then the domain of the function is given as,
Domain = {0, 1, 2, 3}
Thus, the correct option is D.
2. For a function, the number of values of 'y' should be one for each value of 'x'.
At x = 2, the number of values of the function is two that is 1 and 5. So, the relation is not a function.
Thus, the statement is false.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
Is the given number a solution of the equation?
8=2+3; 10
Answer:
No.
Step-by-step explanation:
8 doesn't equal 0 on the very right, which means it's not a solution to the equation. So therefore, it is false based on the equation.
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C
How to calculate the debt using the stack methodFrom the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.
The amount of 150 dollars would then be added to the debt that has the second highest rate.
Hence the amount of debt that would be paid off first would be the first debt based on the stack method.
Read more on the stack method here:https://brainly.com/question/12146314
#SPJ1
dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew
Answer:
???
Step-by-step explanation:
Fine the length of segment x.
Answer:
10
Step-by-step explanation:
12+4=16
16-6=10
easy
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).
To learn more about sorting algorithm, refer:
https://brainly.com/question/14698104
#SPJ4
Cuantas Escuelas de administración hay ?
What is 12 to the power of negative 9 times 12 to the power of 3
Answer: 3.34897977 -7
Step-by-step explanation:
Rolling a number less than 3 on a number cube and then flipping tails on a coin flip dependent or independent
A number cube is a 6 sided die, so the probability of rolling a 3 is 1/6.
What are the odds against rolling a 3 on a number cube?Each coin flip is treated as a separate event because the outcome of one flip has no bearing on the outcome of any subsequent flips. List every outcome that each experiment could produce. A coin is flipped after rolling a regular number cube. Flipping four coins.
Okay, so the likelihood of rolling an even number is equal to half. Flipping tells is likewise half, as well. Thus, in its most basic form, this is the answer to the exercise and the likelihood of doing both will be 1/4. An event's probability is always between 0 and 1.
Given that both occurrences took place at the same time. As a result, when a coin is tossed and a cube is rolled, the likelihood of getting a tail and a six increases.
To Learn more about number cube refered to:
https://brainly.com/question/28175634
#SPJ1
Write an equation to represent the phrase: 83 is equal to two times a
number v increased by 26. (NO NEED TO SOLVE, JUST WRITE THE
EQUATION PLEASE!!)
83=2v+26
It's asking me to write 20 words so this is junk.
Answer:
83=v×2+26
Step-by-step explanation:
they want 20 wprds lol
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
More can be learned about relations and functions at brainly.com/question/10283950
#SPJ1