The trigonometric function, Y = -4·cos 5·x - 10 is undefined at Y = 0, but the function arranged as Y = -4·cos(5·x - 10) has an x-intercept at x = π/10 + 2
What is a trigonometric function?A trigonometric function indicates the relationship between angles and the lengths of sides of angles.
The specified function can be presented as follows;
Y = -4·co(5·x) - 10
There are two unknown variables
The number of equations is one
The number of equations is less than the number of unknowns, the equation is said therefore, to be undetermined.The function, at Y = 0, can be evaluated as follows;
Y = 0 = -4·co(5·x) - 10
cos(5·x) = 10/(-4) = -2.5
5·x = arccos(-2.5) = Undefined
However, when the function is; Y = -4·cos((5·x) - 10), we get;
At Y = 0
0 = -4·cos((5·x) - 10)
cos((5·x) - 10) = 0/(-4) = 0
5·x - 10 = arccos(0) = π/2
Therefore;
x = (π/2 + 10)/5 = π/10 + 2
(-π/2 + 10)/5
An x-intercept is at x = π/10 + 2
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write a question of interest for which a two-sided t test for the difference in populations means can be used to answer example
To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.
A two-sample t-test is used to determine whether or not genuine population means are equal.
The accompanying null hypothesis is usually used in a two-sample t-test:
[tex]H_0[/tex]: The two population averages are equivalent when 1 = 2.
The alternative hypothesis might have two tails, a left or right tail, or none at all:
Two-tailed [tex]H_1[/tex]: μ1 ≠ μ2 Neither of the two population means is equal.
(Left-tailed) [tex]H_1[/tex]: Population 1 mean is lower than population 2 mean by a factor of 1.
[tex]H_1[/tex] (right-tailed): Populations 1 and 2 have mean values that are higher than each other.
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Solve for x in the diagram below.
180-(45+15) = 120
4x+120=180
4x=60
x=15
To test the effect of a new exercise routine on muscle growth, a researcher sets up the following experiment: 60 volunteers subjects (40 men and 20 women) of average build are selected to participate in the study. Their body mass and muscle sizes (biceps, thighs, etc.) are measured. The researcher gives all the men a DVD with the new exercise routine, and the women a DVD with a standard routine, but only the researcher knows this.
The results of the experiment are likely to be invalid mostly because .
The treatment group and control group were not the same size.
The subjects were volunteers.
The subjects did not know if they were getting the real treatment.
The gender of the subject is a confounding variable in this situation.
The results most probably be invalid because the subjects were voluntary sample.
What is sample in statistics?
Any quantity from a population sample is referred to as a sample statistic. A sample is a collection of components chosen at random from the population. The parameters are the characteristics of the population, and statistics are the characteristics of the sample data. Both the population and the sample are crucial components of statistics.By utilising sample statistics, inferential statistics provides strategies for generalising population features. Consider the following statistic: "50% of kindergarten students in India watch TV for more than 20 hours a week." Not all kindergarten students in India were polled regarding their TV viewing habits in order to reach this conclusion. Instead, by using sample space to estimate the population parameters, this conclusion would have been reached.To know more about statistics check the below link:
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How do I find this? I am sturggling lol
The table is completed below
Distance (cm) weight (newtons)
20 28
55 77
100 140
1 1.4
The maximum data in the y axis is 140
The maximum data in the x axis is 100
How to find fill the blankThe blank is filled by finding proportional relationship, this is calcualted by
let the constant of proportionality be k
20k = 28
k = 20/28
k = 1.4
55k = 55 * 1.4 = 77
? * k = 140
? = 140/k = 140/1.4 = 100
1 * k = 1 * 1.4 = 1.4
How high each value can go is the highest value in each axis and the is 100 for x axis and 140 for y axis
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Test Prep Complete the equation so that it has the solution c = 4 5(2c_ )=2(c+11)
The unknown value that has the solution as c = 4 of the given algebraic equation is; 2
How to solve algebra word problems?The given algebraic expression for which we want to input a value and solve is given as; 5(2c − ?) =2(c + 11)
Now, we want to find the unknown value that has the solution as c = 4. Thus, we will plug in 4 for c into the given equation to get;
5(2(4) − ?) =2((4) + 11)
5(8 − ?) = 30
divide both sides by 5 to get;
(8 − ?) = 6
Add -6 + ? to both sides to get;
8 − ? - 6 + ? = 6 - 6 + ?
? = 2
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Complete question is;
Complete the equation so that it has the solution c = 4.
5(2c − ?) =2(c+11)
What is -2x+2 (1-4x) = 52?
Answer:x=-5
Step-by-step explanation:
Solve the system of linear equations by elimination.
4x + 3y = -5
-x+3y=-10
solution:
Answer:
x=1, y=-3
Step-by-step explanation:
We first see there is a 3y in both equations. We can completely eliminate the y term by subtracting the equations.[tex](4x+3y=-5)-(-x+3y=-10)[/tex]. This gives us (4x--x)=(-5--10), which is 5x = 5. So, x = 1.
Now we can plug this value in to solve for y. Let's plug it in to [tex]-x+3y=-10[/tex]. We get [tex]-1 + 3y=-10[/tex], so 3y = -9 and y = -3. Hope this helps!
the average of a list of 4 numbers is 92.0 . a new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40 , and the fourth number in the new list is 48 . what is the average of this new list of numbers?
The average of the new list of 4 numbers is 94.
If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:
4 x 90 = 360
If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:
360 - 80 = 280
If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:
280
If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:
280 + 96 = 376
Therefore, the average of the new list of 4 numbers is:
376 / 4 = 94
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I need the answer please.
Apple pies are $5 and pumpkin pies are $15
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
5a+12p=205............(1)
2a+1p=25.................(2)
Now, Multiply (2) by -12 to get
-24a-12p=-300
and, 5a+12p=205
-24a-12p=-300
Adding above Equations together
-19a=-95
a= 5
and, 2(5)+p=25
10+p=25
p=15
Hence, Apple pies are $5 and pumpkin pies are $15
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7. Solve 10x + 8 = 8x - (- 16) for x.
Answer:
Answer is 4.
x = 4
Step-by-step explanation:
In a math class with 28 students, a test was given the same day that an assignment
was due. There were 20 students who passed the test and 19 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student passed the test given that they
completed the homework?
The phrase "given that they completed the homework" indicates that we're only looking at the students who completed the homework. We're ignoring those students who didn't complete the homework.
Of the 19 students who completed the homework, 16 of those passed the test.
This gives us the fraction 16/19 which is about 0.842105263157895 or about 84.2%.
That's your probability that a student passed the test given that they completed the homework.
b = 10 and m = − 2 in slope intercept form
Answer:
y=-2x+10
Step-by-step explanation:
Just use the formula y=mx+b and replace the letters with the numbers.
Answer: y = -2x + 10
Step-by-step explanation:
y = mx + b
m = -2
b = 10
x = unknown number
y = m(-2)x + b( 10)
Luna Brennan's is depositing $320 in currency,
$1.55 In coins, a check for $213.40, and a check for
$400.25 What is the total deposit?
the Total deposit will be $935.2.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Luna Brennan's is depositing $320 in currency, currency, $1.55 In coins, a check for $213.40, and a check for $400.25.
So Total deposite will be $320+$1.55+ $213.40+$400.25 = $935.2
Hence the Total deposit will be $935.2
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Please help! Just Simplify the expression!
1. Simplified Solution: [tex]a^9[/tex]
2. Simplified Solution: [tex]x^1^0[/tex]
3. Simplified Solution: [tex]1024a^1^0b^1^5[/tex]
4. Simplified Solution: [tex]x^2[/tex]
5. Simplified Solution: [tex]\frac{1}{x^3}[/tex]
6. Simplified Solution: [tex]1[/tex]
7. Simplified Solution: [tex]\frac{4a^6}{b^8}[/tex]
8. Simplified Solution: [tex]32768x^1^0[/tex]
9. Simplified Solution: [tex]\frac{1}{x^1^2y^2^1}[/tex]
10. Simplified Solution: [tex]x^1^4y^1^1[/tex]
11. Simplified Solution: [tex]-\frac{3}{x^4}[/tex]
12. Simplified Solution: [tex]\frac{xy^1^1}{4}[/tex]
13. Simplified Solution: [tex]x^7[/tex]
14. Simplified Solution: [tex]xy^2[/tex]
15. Simplified Solution: [tex]1[/tex]
16. Simplified Solution: [tex]\frac{1}{1000x^1^5y^9}[/tex]
17. Simplified Solution: [tex]\frac{y^3}{x^2}[/tex]
18. Simplified Solution: [tex]\frac{1}{16x^4y^1^0}[/tex]
19. Simplified Solution: [tex]\frac{xy^2}{3}[/tex]
20. Simplified Solution: [tex]-\frac{y^1^2}{9x^4}[/tex]
21.Simplified Solution: [tex]3x^2y^2[/tex]
____________________________________________________
Hope this helps! And good luck! :D
Five less than half a number is epaulets to one.
Answer:
Step-by-step explanation:
please help if you can I’m stuck
Answer:
• Area of parallelogram = 270 in.²
• Area of square = 225 in.²
• Area of composite figure = 495 in.²
Step-by-step explanation:
We are given a composite figure made up of a parallelogram and a square and told to find its area.
To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:
[tex]\boxed{\mathrm{Area \ of \ parallelogram = base \times height}}[/tex].
From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).
Using this information, we can calculate the area of the parallelogram:
Area = base × height
= 15 in. × 18 in.
= 270 in.²
Next, we have to find the area of the square using the formula:
[tex]\boxed{\mathrm{Area \ of \ square = side \times side}}[/tex].
From the figure, we can see that the length of a side of the square is 15 in.
Therefore, using the formula above, we can calculate the area of the square:
Area = side × side
= 15 in. × 15 in.
= 225 in.²
Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:
Area of composite figure = 270 in² + 225 in²
= 495 in.²
one hundred units of part a are to be processed on a work center. the setup time is 2 hours and the run time per piece is 10 minutes. the total standard time will be
The total standard time required to processed for one hundred units as per given setup and run time is equal to 1120minutes.
As given in the question,
Number of units to be processed = One hundred units
Conversion used:
1 hour = 60 minutes
Time required for setup = 2 hours
= 2 ( 60) minutes)
= 120 minutes
Run time per piece = 10 minutes
⇒ Run time required for 100 units = 100 × 10
= 1000 minutes
Total standard time for 100 units is equal to
= Run time for 100 units + set time
= 1000 + 120
= 1120 minutes
Therefore, the total standard time required to processed 100 units is equal to 1120 minutes.
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David pays a flat rate per day to rent his bike. The cost of David's bike rental plan, B(t), can be represented by which of the following functions?
A. B(t) = 5(0,6)^t
B. B(t) = 5(1 + 0.6)^t
C. B(t) = 0.6t + 5
D. B(t) = -0.6t + 5
The function that represents the cost of David's bike rental plan, B(t) is C. B(t) = 0.6t + 5
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t). Let the extra day be illustrated by t.
This will be:
B(t) = 5 + (0.6 × t)
B(t) = 5 + 0.6t
The correct option is C.
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Complete question
David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t), can be represented by which of the following functions?
A. B(t) = 5(0,6)^t
B. B(t) = 5(1 + 0.6)^t
C. B(t) = 0.6t + 5
D. B(t) = -0.6t + 5
this is not a test so stop taking it down
someone pls answer this
Answer:
Below
Step-by-step explanation:
Expand the parentheses to get
1/5 b - 2a + 1/2 b + 4a gather like terms to get
2a + 7/10 b
I NEED HELP!! 100 points!!!!
Domain and range of G?
G = {( -8, 7 ), ( -9, 0 ), ( 3, 7 )}
Write answers as set notation
Answer:
domain {-9,-8,3}, range{0,7}
Step-by-step explanation:
domain is the set of all x values
range is the set of all y values
help i give brainless its not that hard I just need help pls
Answer:
A. Linear
B. Non-linear
C. Linear
Step-by-step explanation:
A linear line has a consistent slope either going down (negative) or going up (positive.)
A. The x values are increasing by a constant rate of 1, and the y values are decreasing at a constant rate of 1. Therefore it is a linear relation.
B. The x values are increasing by a constant rate of 1, but the y-value repeats itself twice in the second and third column. Therefore it does not have a consistent slope and is not a linear relation.
C. The x values are increasing by a constant rate of 1, and the y- values increase by a constant rate of 2 except in column 4 making it a non-linear relation.
Dominic solves the equation 3(x - 5) + 2x = 0 for x using the steps below. drag and drop the correct values to make his work and answer correct
Answer:
x = 3
Step-by-step explanation:
First, distribute the 3.
3(x - 5) + 2x = 0
3x - 15 + 2x = 0
Next, combine the x's.
(3x + 2x) - 15 = 0
5x - 15 = 0
Then, add 15 to both sides.
5x = 15
Finally, divide by 5 on both sides.
x = 3
Plsss help!!
Geometry A
Brainliest
Answer
Step-by-step explanation:
The cost of 6 sandwiches and 4 drinks is $36. The cost of 4 sandwiches and 6 drinks is $34. how much does one sandwich cost?
Answer: $4/sandwich
f two balls are drawn from a bag containing 2 white, 4 red and 5 black balls. what isthe chance thata. both the balls are redb. one is red and the other black ?
a) The probability of both balls drawn from the bag be red is 6/55
b) The probability of one ball red and other ball black is 4/11
Given,
Number of white balls in the bag = 2
Number of red balls in the bag = 4
Number of black balls in the bag = 5
Two balls are drawn from the bag.
Here,
a) Find the probability of both balls be red.
(²C₀ x ⁴C₂ x ⁵C₀) / ¹¹C₂
= (1 x 6 x 1)/ 55
= 6/55
That is,
The probability of both balls be red is 6/55
b) Find the probability of one ball red and other ball black
(²C₀ x ⁴C₁ x ⁵C₁) / ¹¹C₂
= (1 x 4 x 5) / 55
= 20/55
= 4/11
That is,
The probability of one ball red and other ball black is 4/11
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a statistician believes that the percent population growth rate of major cities has decreased compared to the last decade. to test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. let d
Statisticians want to know if the hypothesized mean of the differences is less than zero for paired data. So, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd<0.Option(b)
What is a null hypothesis?A null hypothesis proposes that certain characteristics of a population or development process are the same regardless of whether they differ or not. There is a difference, according to the alternative hypothesis. A null hypothesis can be rejected with a certain degree of confidence through hypothesis testing.
The alternative hypothesis can be supported if the null hypothesis is rejected. A null hypothesis test is a basis for science's falsification principle.
Question:A statistician believes that the percent population growth rate of major cities has decreased compared to last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Let d=percent growth rate from 2007 to 2017−percent growth rate from 1997 to 2007. Identify the correct null and alternative hypothesis for a hypothesis test.
H0:μd≠0
Ha:μd=0
H0:μd=0
Ha:μd<0
H0:μd=0
Ha:μd>0
H0:μd=0
Ha:μd≠0
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Sir Ronald Fisher's F-distribution is used in many statistical tests. Which one of the following uses the F-distribution for their test statistic?
a. To compare several population means simultaneously
b. Comparison of samples to see if they came from populations with the same proportions.
c. Test of two samples to see if they are from populations with the same median
The one which uses Sir Ronald Fisher's F-distribution for the test statistic is to compare several population means simultaneously.
What is the F-distribution?The F-distribution was developed by Sir Ronald Fisher to study the behavior of two variances from random samples taken from two independent normal populations. The F-distribution allows us to use a F statistic to compare two populations.
The F-distribution is also known as a right-skewed distribution used commonly in another statistical test called an Analysis of Variance (ANOVA). For ANOVA tests we can use the F-distribution to check whether the variance among the means of two populations significantly differ. The F-distribution can also be used in regression analysis to compare the fit of different models.
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PLEASE HELP ASAP
Part A: A 30-kilogram mass is moving across a horizontal surface at 5.0 m/s. The mass comes to
a stop over 6 seconds. What is the acceleration?
Part B: What is the magnitude of the force required to bring the object to a stop?
Answer:
Below
Step-by-step explanation:
acceleration = Δv / Δt = - 5/6 m/s^2
( negative sign shows it to be a deceleration)
F = ma
= 30 ( -5/6) = -25 N or 25 N in the direction opposite of the velocity ( like a frictional force)
In a tsunami, the wave speeds (in meters per second) can be modeled by s(d)=√9.8d, where d is the depth (in meters) of the water. Estimate the depth of the water when the wave speed is 200 meters per second
The depth of the water when the wave speed is 200 meters per second is 4081.63m
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Given,
In a tsunami, the wave speeds (in meters per second) can be modeled by s(d)=√9.8d,
Where d is the depth
We need to find the depth when speed is 200 meters per second
s(d)=√9.8d,
200=√9.8d,
Square on both sides
40000=9.8d
Now divide both sides by 9.8
d=4081.63m
Hence, the depth of the water when the wave speed is 200 meters per second is 4081.63m
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if the angle bisector of each angle of a triangle lies on the same line as the perpendicular bisector of the opposite side, what kind of triangle is it?
The triangle is an Equilateral triangle.
What is an equilateral triangle?
In geometry, an equilateral triangle is a triangle in which all three sides are equal. In an equilateral triangle, all three angles are 60 degrees.
Angle bisector means a bisector which divides an angle into two equal parts. A perpendicular bisector is a line which makes 90 degrees with the base and divides it into two equal parts.
In the case of an equilateral triangle, the angle bisector of each angle of a triangle and the perpendicular bisector of the opposite side is the same.
Hence the answer is an equilateral triangle.
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