Answer:
9.75
Step-by-step explanation:
13÷4=3.25
3.25×3=9.75
solve
3t – 6 = t – 2
Answer:
t = 1
Step-by-step explanation:
4t = 4
t = 1
7. 2y + 13.2 =78
у =
Step-by-step explanation:
I hope it will help you here's the answer
6. (1 point) In multiple regression analysis, the ratio MSR/MSE yields the: A. t-test statistic for testing each individual regression coefficient
B. adjusted multiple coefficient of determination C. F-test statistic for testing the validity of the regression equation D. multiple coefficient of determination
C. F-test statistic for testing the validity of the regression equation.
What is the significance of the MSR/MSE ratio in multiple regression analysis?In multiple regression analysis, the ratio of MSR (Mean Square Regression) to MSE (Mean Square Error) is used to calculate the F-test statistic.
This statistic is used to test the overall validity of the regression equation, determining whether the regression model as a whole is statistically significant in explaining the variation in the dependent variable.
The F-test assesses whether the regression model as a whole provides a significant improvement over the null model (a model with no independent variables).
A large F-statistic indicates that the regression equation is statistically significant, implying that at least one of the independent variables has a significant effect on the dependent variable.
Therefore, option C, the F-test statistic for testing the validity of the regression equation, is the correct answer.
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i need help with this question
The solution of the equation log(t - 3) = log(17 - 4t), is 4.
option A.
What is the solution of the equation?To find the solution for the equation log(t - 3) = log(17 - 4t), we can use the properties of logarithms.
Step 1: Remove the logarithms on both sides.
Applying the property of logarithms that states log(a) = log(b) if and only if a = b, we can remove the logarithms from both sides of the equation:
t - 3 = 17 - 4t
Step 2: Add 4t to both sides.
Adding 4t to both sides of the equation to isolate the t term on one side:
t + 4t - 3 = 17
Step 3: Combine like terms.
Combining like terms on the left-hand side:
5t - 3 = 17
Step 4: Add 3 to both sides.
Adding 3 to both sides of the equation to isolate the t term:
5t - 3 + 3 = 17 + 3
5t = 20
Step 5: Divide by 5.
Dividing both sides of the equation by 5 to solve for t:
5t/5 = 20/5
t = 4
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In the coordinate plane, the points X (3, 6), Y (−7, 8), and Z (−11, 2) are reflected over the y-axis to the points X′, Y′, and Z′, respectively. What are the coordinates of X′, Y′, and Z′?
Answer:
X'= (-3,6)
Y'=(7,8)
Z'=(11,2)
Step-by-step explanation:
when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1
Answer:
X′(−3, 6), Y′(7, 8), Z′(11, 2)
Step-by-step explanation:
Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?
To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.
But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.
You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.
You have successfully completed your mission. Congratulations! You are a master of reflections.
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
find the surface area
Answer:
12?
Step-by-step explanation:
Answer:
2x5=10 + 4x3=12 +12 total 34
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!!!
HAVE A AWESOME DAY!!!!!
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?
Please try as much as possible to explain your answers.
Answer:
19
Step-by-step explanation:
(48 - 23) + 6 = 31
23 - 6 = 17
(48 - 23) -6 = 19
The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
It is given that:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Based on the information we can draw a Venn diagram:
From the Venn diagram:
A + B = 17 + 6
A + B = 23
B = 6
A + B + C = 48
A = 23 - 6 = 17
C = 48 - 17 - 6
C = 25
The total number of pupils who only study Government = 25
The total number of pupils who study Government = 25 + 6 = 31
The total number of pupils who study Economics only = 17
Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
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In the image below if m<1 = 95° and all indicated lines in the diagram that appear parallel are parallel, which of the following is the measure of the angle that forms the linear pair with angle 1?
A. 75°
B. 105 °
C. 85 °
D. 95 °
Answer:
m<1=9595+B=180. ( linear pair)
95+105=180
180=180
hence proved
A ship captain at sea measures an angle of elevation of 37° to the top of a lighthouse. After the ship travels 250 feet directly toward the lighthouse, a new angle of elevation is found to be 50°. The ship’s charts show that there are dangerous rocks 100 feet from the base of the lighthouse. Find, to the nearest foot, how close to the rocks the ship is at the time of the second sighting
the ship is approximately 271 feet close to the rocks at the time of the second sighting.
To find how close the ship is to the rocks at the time of the second sighting, we can use trigonometry and the concept of similar triangles.
Let's consider the triangle formed by the ship, the lighthouse, and the rocks. The first angle of elevation of 37° and the second angle of elevation of 50° indicate that we have two similar triangles.
Let h be the height of the lighthouse and x be the distance between the ship and the rocks. From the first triangle, we can set up the equation: h / x = tan(37°).
Similarly, from the second triangle, we have: (h + 100) / (x - 250) = tan(50°).
Now we can solve these equations simultaneously to find the value of x. Rearranging the equations gives us: h = x * tan(37°) and h + 100 = (x - 250) * tan(50°).
Substituting the value of h from the first equation into the second equation, we have: x * tan(37°) + 100 = (x - 250) * tan(50°).
Simplifying the equation gives us: x * tan(37°) + 100 = x * tan(50°) - 250 * tan(50°).
Rearranging the terms and isolating x, we get: x = (100 + 250 * tan(50°)) / (tan(37°) - tan(50°)).
Evaluating this expression gives us approximately x ≈ 271.41 feet.
Therefore, the ship is approximately 271 feet close to the rocks at the time of the second sighting.
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The question is in the screenshot below.
Answer:
2 19/24
Step-by-step explanation:
Simplify it in whatever whey they ask you to for the answer
Answer:
37/12
Step-by-step explanation:
\( \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} \)
con someone hwlp me please i can give you a brainle
Answer:
For the first section, you write the algebraic expression or equation that goes with the statement.
For example, 9 more than the product of 51 and number "i" would translate into 51i+9. More and sum refers to addition, difference is subtraction, and quotient is division.
For the second section, you just simplify each of the expressions. when a number has ^, that means it has the square root, so 9^2 would be nine squared, which is 81.
For the third section, replace the c values for 3 and the d values for 5.
For the fourth section, determine whether or not each number is rational by writing the number as a fraction where both numerator and denominator are whole numbers. Pi is irrational as it can't be written as the fraction of 2 integers
For the last section, combine like terms and explain each step.
Use power series operations to find the Taylor series at x=0 for the following function. xcos 2
3πx
The Taylor series for cosx is a commonly known series. What is the Taylor series at x=0 for cosx ? ∑ n=0
[infinity]
(Type an exact answer.) Use power series operations and the Taylor series at x=0 for cosx to find the Taylor series at x=0 for the given function. ∑ n=0
[infinity]
(Type an exact answer.)
The Taylor series at x=0 for the given function x * cos²((3πx)/2) is:
∑(n=0 to infinity) ∑(m=0 to infinity) (-1)^(n+m) * (x²ⁿ⁺¹) * ((((3π)/2)^(2n+2m)) / ((2n)!(2m)!))
Here, we have,
The Taylor series at x=0 for cos(x) is given by:
cos(x) = ∑(n=0 to infinity) (-1)ⁿ * (x²ⁿ)) / (2n)!
Now, let's find the Taylor series at x=0 for the given function x * cos²((3πx)/2):
To find the Taylor series for the given function, we'll use power series operations.
We'll substitute the Taylor series expansion for cos(x) into the given function and then perform the necessary operations.
Let's start with cos²((3πx)/2):
cos²((3πx)/2) = (cos((3πx)/2))²
= (∑(n=0 to infinity) (-1)ⁿ * (((3πx)/2)²ⁿ) / (2n)!)²
Expanding the square of the series, we get:
cos²((3πx)/2)
= (∑(n=0 to infinity) (-1)ⁿ * (((3πx)/2)²ⁿ) / (2n)!) * (∑(m=0 to infinity) (-1)^m * (((3πx)/2)^(2m)) / (2m)!)
Now, we'll multiply the x term to obtain the Taylor series for the given function:
x * cos²((3πx)/2) = x * (∑(n=0 to infinity) (-1)ⁿ * (((3πx)/2)²ⁿ) / (2n)!) * (∑(m=0 to infinity) (-1)^m * (((3πx)/2)^(2m)) / (2m)!)
Expanding the multiplication and rearranging the terms, we have:
x * cos²((3πx)/2) = ∑(n=0 to infinity) ∑(m=0 to infinity) (-1)^(n+m) * (x²ⁿ⁺¹) * ((((3π)/2)^(2n+2m)) / ((2n)!(2m)!))
Therefore, the Taylor series at x=0 for the given function x * cos²((3πx)/2) is:
∑(n=0 to infinity) ∑(m=0 to infinity) (-1)^(n+m) * (x²ⁿ⁺¹) * ((((3π)/2)^(2n+2m)) / ((2n)!(2m)!))
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An amusement park charges $9 per adult and $7 per child, but offers a $35 family pass for either two adults and three children, or one adult and four children, and a $7 per person group rate for groups of at least ten visitors. This flowchart leads to the most cost-effective ticket buying strategy. AmusementPark.java Load default template... import java.util.scanner; public class AmusementPark \{ public static void main(String[] args) \{ Scanner in = new Scanner(System. in); int adults = in. nextInt(); int children = in. nextInt(); if (adults + children >=10 ) \} else if (adults >=2 ) \{ System.out.println("Buy only individual tickets"); 3 if (children >=3 ) else \{ System.out.println("Buy group pass"); 6 3 else \{ System.out.println("Buy family pass"); 7 8 if (children >=4) System. out.println("Buy family pass"); \} \{ System.out.println("Buy only individual tickets"); 12
The final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.
The given Java code is a basic template for implementing a cost-effective ticket buying strategy at an amusement park. It takes input for the number of adults and children visiting the park and suggests the most suitable ticket option.
The flowchart logic is as follows:
1. If the total number of adults and children is equal to or greater than 10, the group rate is the most cost-effective option, and the code directs you to buy the group pass.
2. If there are at least 2 adults, but not enough visitors for the group rate, the code suggests buying only individual tickets.
3. If there are fewer than 2 adults, the code checks if there are at least 3 children. If so, it suggests buying the family pass.
4. If there are fewer than 2 adults and fewer than 3 children, the code suggests buying only individual tickets.
Based on the given flowchart and Java code, the cost-effective ticket buying strategy would be as follows:
• If the total number of adults and children is 10 or more, buy the group pass at $7 per person.
• If there are at least 2 adults, but fewer than 10 visitors, buy only individual tickets at $9 per adult and $7 per child.
• If there are fewer than 2 adults and at least 3 children, buy the family pass at $35.
• If there are fewer than 2 adults and fewer than 3 children, buy only individual tickets at $9 per adult and $7 per child.
In conclusion, the final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.
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12 is 2/3 of what number?
Answer:
18
Step-by-step explanation:
18 ÷ 3 = 6
6 ⋅ 2 = 12
Therefore, 12 is 2/3 of 18.
Type the correct answer in each box. Use numerals instead of words.
Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they worked for a total of 27 hours. How many hours did they each work on the school project?
Theo worked on the project for
hours.
Kade worked on the project for
hours.
Answer:
Theo worked for 12 hours and Kade worked for 15
Step-by-step explanation:
if kade worked for 10 hours Theo works for 7 so in total they worked for 17 hours together. So what you do is you just continue counting kades hours, subtracting 3 then add those number together till you get the total of 27 hours.
Answer:
Theo worked for 12 hours and Kade worked for 15
Step-by-step explanation:
34 + 2 ⋅ 5 =
I really need help with this
Answer:
44
Step-by-step explanation:
PEMDAS
34+2*5
34+10
44
the teacher has a small class with only 7 students. the teacher grades their homework and reports scores of: 10, 7, 8, 12, 9, 11, and 13. what is the median?
Answer:
10
Step-by-step explanation:
To find the median in a set of data, organize the data from least to greatest.
Here, our data is the homework scores, those being:
10, 7, 8, 12, 9, 11, 13
Let's organize them in ascending order, like so:
7, 8, 9, 10, 11, 12, 13
The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.
We can find that the number in the middle is 10.
Thus, the median of the scores is 10.
was wondering if someone could help me solve this
(a) The option B cost more than option A at 75 miles with a sum of 15 dollars.
(b.i) The number of miles driven in which the two options cost the same is 150 miles.
(b.ii) If Alonzo drive more than 150 miles, the option that will cost less is option B.
What option cost more?`If Alonzo drives the rental car 75 miles, the option that cost more is calculated as follows;
From the given graph, we can infer the following;
at 75 miles option A costs 35 dollars
at 75 miles option B costs 50 dollars
The difference between the two cost is calculated as follows;
= 50 dollars - 35 dollars
= 15 dollars
So option B cost more than option A at 75 miles with a sum of 15 dollars.
The number of miles driven in which the two options cost the same is obtained from the point of intersection of the two lines.
= 150 miles
If Alonzo drive more than this mile (150 miles), the option that will cost less is option B.
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when you are finding the perimeter of a shape do you cancel out the negatives
Answer:
Yes, you would cancel them out.
Step-by-step explanation:
You cannot have negatives on the sides of a shape for perimeter.
A rectangular paddock to enclose horses is to be made. The length is 190 more than the width. Determine the amount of fencing needed given the area is 2000 square feet. How many feet of fencing will be needed?
Answer:
I don't know
Step-by-step explanation:
I really just looked this up and saw this, believe me, I need this too.
PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!
Answer:
B
Step-by-step explanation:
Answer:
a-4
Step-by-step explination:
hope this helps!
Your Stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got 75% on the test.
II. Youcan'treallytellwhatthismeanswithoutknowingthestandarddeviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
Graph the inequality h_< 46.
Open circle and move to the left.
Factor:
3t³-21t²-12t
Answer:
3t (t²-7t-4t)
Step-by-step explanation:
The highest common factor was 3t
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
8. Find the distance between M(-2, 3) and N(8,2). number 8 please
Answer:
The answer is \(\sqrt{x} 101\)
Step-by-step explanation:
Answer:
D.\(\sqrt{101}\)
Step-by-step explanation:
The formula is = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}\)
So, x1=-2 ; y1=3; x2=8; y2=2
putting these values in the formula the result will be \(\sqrt{101}\)
Hope, this helps you.
Need help:
given that M∠QRT=105, find M∠QRS and M∠SRT
Answer:
m∠QRS = 30°
m∠SRT = 75°
Step-by-step explanation:
Given;m∠QRT = 105°m∠QRS = (6x)°m∠SRT = (14x + 5)°To Find;m∠QRS and m∠SRTNow,
The sum of m∠QRS and m∠SRT is equal to m∠QRT which is 105°
So,
m∠QRS + m∠SRT = m∠QRT
(6x)° + (14x + 5)° = (105)°
6x + 14x + 5 = 105
20x + 105 - 5
20x = 100
x = 100/20
x = 5
Thus, The value of x is 5°
Now,
m∠QRS = (6x)° = 6 × 5 = 30°
m∠SRT = (14x + 5)° = 14(5) + 5 = 70 + 5 = 75°
"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
2 tenths = \( 2 * \frac{1}{10} = 2*0.1 = 0.2 \)
6 * 2 tenths = 1.2
7 hundredths = \( 7 * \frac{1}{100} = 7*0.01 = 0.07 \)
6 * 7 hundredths = 0.42
The partial products are:
18 + 1.2 + 0.42
The sum = 19.62
Answer:
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
Step-by-step explanation:
help pls this is hell
Answer:
B. 2n + 14 ≥ -10
Step-by-step explanation:
twice a number: 2n
... increased by 14: 2n + 14
is at least: 2n + 14 ≥
the opposite of 10: 2n + 14 ≥ -10
Answer:
Your answer is B, 2n + 14 \(\geq\) -10
Hope this helps!
Step-by-step explanation:
* Twice a number *
2 * n
* Increased by 14 *
+ 14
* Is at least *
\(\geq\)
* The opposite of 10 *
-10
please explain the detailed
problem-solving ideas and process, thank you so much
9. (5 points) Find the general solution to the DE: y(4) - 4y" + 4y = 0 Hint: You can reduce the order by making a substitution.
To solve the differential equation y(4) - 4y" + 4y = 0, we made the substitution z = y" and reduced the order of the equation. After solving for z, we substituted back to solve for y, yielding the general solution y(t) = (c1/4) e^(2t) + (c2/3) t^3 e^(2t) + C1t + C2.
The given differential equation is y(4) - 4y" + 4y = 0, where y(4) represents the fourth derivative of y with respect to the independent variable.
To solve this differential equation, we can make a substitution of the form z = y", which is a common technique used to reduce the order of a differential equation. Taking the second derivative of z with respect to the independent variable, we get:
z' = y"' and z" = y(4)
Substituting these into the original differential equation, we get:
z" - 4z' + 4y = 0
This is a second-order differential equation in z, which we can solve using the characteristic equation method. The characteristic equation is:
r^2 - 4r + 4 = 0
Solving for the roots of this equation, we get:
r = 2 (multiplicity 2)
Therefore, the general solution to the differential equation in z is:
z(t) = c1e^(2t) + c2te^(2t)
where c1 and c2 are constants to be determined based on the initial conditions.
Now, we can substitute back into our original substitution of z = y" to get:
y" = z(t) = c1e^(2t) + c2te^(2t)
Integrating with respect to t once, we get:
y'(t) = c1/2 e^(2t) + c2te^(2t) + C1
where C1 is a constant of integration.
Integrating again, we get:
y(t) = (c1/4) e^(2t) + (c2/3) t^3 e^(2t) + C1t + C2
where C2 is another constant of integration.
Therefore, the general solution to the given differential equation is:
y(t) = (c1/4) e^(2t) + (c2/3) t^3 e^(2t) + C1t + C2
where c1, c2, C1, and C2 are constants to be determined based on the initial conditions.
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