Answer:
Step-by-step explanation:
\(i^0+i^1+i^2+i^3+i^4\\=1+i+(-1)+i^2(i)+(i^2)^2\\=1+i-1+(-1)i+(-1)^2\\=1+i-1-i+1\\=1\)
Answer:
-1
Step-by-step explanation:
You mean i as sqrt(-1)?
If so,
Just simplify until you get 1×-1×-1×-1×1
=-1
PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)
A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? a There will be no change to the graph because the exponential portion of the function remains the same. b The y-intercept is 22 spaces higher. c The x‐intercept is 22 spaces higher. d All input values are moved 22 spaces to the right.
Function f(x) = 3(5)ˣ , the y-intercept is 22 spaces higher. Considering that the y-intercept is 22 spaces higher, function would go up 22 units.
Define transformation.Math involves finding patterns and comprehending how ideas relate to one another in order to come up with a solution to a problem. Mathematical transformations are crucial for understanding the congruence and likeness of forms in a plane. The four transformations could be used to change the location of a point, a line, or a 2-dimensional geometry. The four different types of transformations are translation, reflection, rotation, and dilation. Transposition involves moving the shape in a certain direction, reflection creates the object's mirror image, rotation flips the shape around a point in degrees, and dilatation enlarges or reduces the shape by a fixed amount.
Given,
Function:
f(x) = 3(5)ˣ
Equation transformed = 3(5)ˣ + 22
We can see that to obtain the modified function, 22 is added to the provided function f(x).
According to the rules of transformation,
y = f(x) + k
k is the shifts
Function is added by 22.
So,
Function f(x) = 3(5)ˣ , the y-intercept is 22 spaces higher. Considering that the y-intercept is 22 spaces higher, function would go up 22 units.
To learn more about transformations, visit:
https://brainly.com/question/4388982
#SPJ1
Two lines, A and B, are represented by the equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam FDK201.12 Previous QuestionNext Question
Answer:
because the point satisfies both of the equations. The point (-3, -5) is the point where the two lines intersect.
Step-by-step explanation:
\(x - 2 = 3x + 4 \\ 2x = - 6 \\ x = - 3\)
\(x - 2 = \\ 3x + 4 = \\ \\ - 3 - 2 = - 5 \\ 3( - 3) + 4 \\ = - 9 + 4 \\ y= - 5\)
A man walks 10 miles in x hours. How far does he walk in one hour?
Which expression represents this?
10 + x miles
10x miles
miles
Answer:
10/x represents how far he walks in one hour
Step-by-step explanation:
A magazine atticle states that, at the end of a certain run, the speed of tho sled docreased from 1020 km/h to zero in 1.40 Part D What is a
2
, during this time? Express your answer in meters per second squared.
The acceleration of the sled is 202.54 m/s^2can be determined by calculating the change in velocity divided by the time taken. I
To find the acceleration of the sled, we need to calculate the change in velocity and divide it by the time taken.
The initial velocity is given as 1020 km/h. To convert this to meters per second, we need to multiply it by a conversion factor. Since 1 km/h is equal to 0.2778 m/s, the initial velocity can be calculated as:
Initial velocity = 1020 km/h * 0.2778 m/s = 283.536 m/s
The final velocity is given as 0 km/h, which is equal to 0 m/s.
The time taken is given as 1.40 seconds.
Using the formula for acceleration:
Acceleration = (Final velocity - Initial velocity) / Time taken
Acceleration = (0 m/s - 283.536 m/s) / 1.40 s
Simplifying this expression, we get:
Acceleration = -283.536 m/s / 1.40 s
Calculating this value, we find that the acceleration during this time is approximately -202.54 m/s².
Therefore, the acceleration of the sled, during this time, is approximately -202.54 m/s². The negative sign indicates that the sled is decelerating or slowing down.
Learn more about time here:
https://brainly.com/question/30823895
#SPJ11
100,000 subtract from 63,482.50 equals
63,482.50-100,000=63,382.50
Form and solve an equation for .
2x
x+30
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
A box of cereal bars contains 8 bars. The company decided to increase the number of bars to 12. What percent increase was there to the number of bars?
Answer:
there was a 44% increase to the number of bars.
Step-by-step explanation:
8/12 = 0.66
0.66 x 100 = 66
100 - 66 = 44
44%
Question
What equation is graphed in this figure?
Responses
y−4=−23(x+2)
y minus 4 equals negative fraction 2 over 3 end fraction left parenthesis x plus 2 right parenthesis
y+2=−32(x−2)
y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis
y−3=32(x+1)
y minus 3 equals fraction 3 over 2 end fraction left parenthesis x plus 1 right parenthesis
y+1=−23(x−3)
y plus 1 equals negative fraction 2 over 3 end fraction left parenthesis x minus 3 right parenthesis
Number graph that ranges from negative five to five on the x and y axes. A line passes through begin ordered point zero comma one end ordered pair and begin ordered pair two comma negative two end ordered pair
The equation which is graphed in this figure (see attachment) is: C. y + 2 = −3/2(x − 2)
"y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis."
How to determine the number of solutions?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided about this graph, we have the following data points on its line:
Points on the x-axis = (0, 2).
Points on the y-axis = (1, -2).
At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-2) = (-2 - 1)/(2 - 0)(x - 2)
y + 2 = -3/2(x - 2)
Read more on slope here: https://brainly.com/question/11586413
#SPJ1
My uncle Darnell wants to buy a canoe. The regular price is $758, but
today it is on sale for $460 off of the regular price. What is the sale price
of the canoe?
Answer:
Step-by-step explanation:
290 dollars off
Kaizen is a Japanese word that means continuous development. It says that each day we should focus on getting 1% better on whatever we're trying to improve.
How much better do you think we can get in a year if we start following Kaizen today?
Note: You can take the value of
(1.01)^365 as 37.78.
If we follow Kaizen's principle and improve by 1% each day, we can get approximately 37.78 times better in a year.
If we follow Kaizen's principle of improving by 1% each day, we can calculate how much better we will get in a year by using the formula:
Final Value = Initial Value x (1 + Daily Improvement Percentage)^Number of Days
Since we are trying to calculate how much better we can get in a year, we can plug in the following values:
Initial Value = 1 (assuming we are starting from our current level of performance)
Daily Improvement Percentage = 0.01 (since we are trying to improve by 1% each day)
Number of Days = 365 (since there are 365 days in a year)
Using these values, we get:
Final Value = 1 x (1 + 0.01)³⁶⁵
Final Value ≈ 1 x 37.78
Final Value ≈ 37.78
This shows the power of continuous improvement and the importance of consistent effort towards our goals.
To learn more about improving click on,
https://brainly.com/question/29278250
#SPJ1
factorise
10ax²+14a²x
Answer:
2ax(5x+7a) is your answer ☺️☺️☺️
i hope so it help you .........
PLZZZZZZZZZZZZ help asap no links please
Answer:
According to the instructions there should be an attached menu could you add that? Thanks :)
Step-by-step explanation:
whats thw ansewr plese help me
The table of values is a linear equation which is given as y = -7/2x + 2
What is a linear function?A linear function is a mathematical function that represents a straight line when graphed on a coordinate plane. It is a type of function where the independent variable (usually denoted as x) has a constant rate of change with respect to the dependent variable (usually denoted as y).
The slope-intercept form of a linear equation is given as;
y = mx + c
From the table of value given;
f(x) = mx + c
Let's calculate the slope of the equation;
m = y₂ - y₁ / x₂ - x₁
m = 2 - 9 / 0 - (-2)
m = -7 / 2
The slope is -7/2
Taking the slope to find the linear equation;
y = mx + c
Taking any point;
9 = -7/2(-2) + c
9 = 7 + c
c = 2
The equation is y = -7/2 + 2
Taking another point to confirm our answer;
2 = -7/2(0) + c
c = 2
This shows the values is a linear equation;
learn more on linear equations here;
https://brainly.com/question/18831322
#SPJ1
What is the partial effect of x1 on y for the following linear regression model? y=1+0.85x1−0.2x12+0.5x2+0.1x1x2+ε 0.85−0.4×1 0.85 0.85+0.1×2 0.85−0.4×1+0.1×2
The final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2. To find the partial effect of x1 on y in the given linear regression model, we need to take the derivative of y with respect to x1.
Given the linear regression model:
y = 1 + 0.85x1 - 0.2x1^2 + 0.5x2 + 0.1x1x2 + ε
Taking the derivative of y with respect to x1, we get:
∂y/∂x1 = 0.85 - 0.4x1 + 0.1x2
Therefore, the partial effect of x1 on y is represented by the expression 0.85 - 0.4x1 + 0.1x2.
This means that for every one unit increase in x1, the value of y is expected to change by (0.85 - 0.4x1 + 0.1x2) units, while holding all other variables constant.
It's important to note that the partial effect of x1 on y is not a fixed value but rather a function that depends on the values of x1 and x2. The coefficient of x1 in the linear regression model (0.85) represents the baseline effect, while the terms involving x1^2, x2, and x1x2 capture additional effects that modify the partial effect.
So, the final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2.
Learn more about derivatives here:
https://brainly.com/question/29144258
#SPJ11
3x - 7 = 3x + 9; x =
Please can someone help me and show me the answers step by steps
Answer:
i think probably x∉∅
Step-by-step explanation:
3x-7 = 3x+9
-7 = 9
so x∉∅
Answer:
0 = 16 or No Solution
Step-by-step explanation:
1) Add 7 to both sides of the equation
3x - 7 + 7 = 3x + 9 + 7
2) Simplify
A. Add the numbers
3x = 3x + 9 + 7
B. Add the numbers
3x = 3x + 16
3) Subtract 3x from both sides of the equation
3x - 3x = 3x + 16 - 3x
4) Simplify
A. Combine like terms
0 = 3x + 16 - 3x
B. Combine like terms
0 = 16
Solve the compound inequality for x and identify the graph of its solution.
x+7 > 3 and x-5≤-1
O A. Solution: x < -4 or x ≥ 4
1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
1
2 3 4 5
OC. Solution: x>-4 and x≤ 4
+
+
-5 -4 -3 -2 -1
1
2
3 4 5
OD. Solution: x²-4 and x < 4
1 2 3 4
5
-5 -4 -3 -2 -1 0
-5 -4 -3 -2 -1 0
0
-5 -4 -3 -2 -1 0
Answer:
x<-4 or x≤4
Step-by-step explanation:
The solution of the inequality is x > -4 and x ≤ 4.
So, the graph B is correct.
Given is an inequality, x+7 > 3 and x-5 ≤ -1, we need to solve and identify the graph,
To solve the compound inequality, let's solve each inequality separately and then find the intersection of the solutions.
Inequality 1: x + 7 > 3
Subtract 7 from both sides:
x > 3 - 7
x > -4
Inequality 2: x - 5 ≤ -1
Add 5 to both sides:
x ≤ -1 + 5
x ≤ 4
Now, we need to find the intersection of the solutions for both inequalities.
Since the conjunction between the two inequalities is "and," we need to find the common solution.
The common solution is the values of x that satisfy both x > -4 and x ≤ 4. From the two inequalities, we can see that the common solution range is from -4 to 4, including -4 but not including 4.
Therefore, the solution to the compound inequality is: -4 < x ≤ 4
Learn more about compound inequality click;
https://brainly.com/question/20296065
#SPJ7
A shipping container is in the shape of a right rectangular prism with a length of 5-5 feet, a width of 12 feet, and a height of 7.5 feet. The container is completely filled with contents that weigh, on average, 0.75 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
186 pounds
Step-by-step explanation:
volume : base area × height
area of rectangular triangle : a×b/2
Vp = (5.5 × 12 / 2) × 7.5 = 33 × 7.5 = 247.5 ft³
the weight of the contents : 247.5 × 0.75 = 185.625 pounds
= 186 pounds (rounded)
1. Five more than a number is eight.
Answer
3, the number is 3
Step-by-step explanation:
work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.
Which of the following number lines represents the solution for 3x + 12 ≤ 24 ?
*TEST QUESTION*
Answer:
Option (2)
Step-by-step explanation:
Given inequality is,
3x + 12 ≤ 24
3x + 12 - 12 ≤ 24 - 12
3x ≤ 12
\(\frac{3x}{3}\leq \frac{12}{3}\)
x ≤ 4
Now we can plot this inequality on a number line.
An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.
Therefore, Option (2) will be the correct option.
A family buys 4 airline tickets and travel insurance that costs $18 per ticket. The total cost is $680. Let x represent the price of one ticket. Write an equation to represent this situation. What is the price of one ticket?
Answer:
x=$165.50
Step-by-step explanation
4x+18=$680
680-18=$662
662/4=$165.50
Find the slope of the straight line passing through the two points (2,4),(4;5)
Answer:
0 if the line is straight it has a 0 slope you can also use y2-y1 and x2-x1 rise over run to double check my answer.
The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky. Describe the type of lines formed by the bridge and the river.
The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky, the lines formed buy the bridge and the river is skew lines
Given,
The situation, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky.
The line formed by the bride and the river that do not intersect and are not coplanar
So, those are skew lines
Hence, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky, the lines formed buy the bridge and the river is skew lines
Learn more about skew lines here
brainly.com/question/2603508
#SPJ4
80 percent = 8,000
what is the answer
Answer:
10,000
Step-by-step explanation:
simple math in my opinion
given the following code, and assuming execution begins in main(), what is the sequence of events when a nullpointerexception is thrown in m3()?
The sequence of events when a NullPointerException is thrown in m3() is as follows:
1. The main() method is called and begins execution.
2. The m1() method is called from main().
3. The m2() method is called from m1().
4. The m3() method is called from m2().
5. A NullPointerException is thrown in m3().
6. The exception is caught in the catch block of m2().
7. The catch block in m2() executes and prints the exception message.
8. The m2() method finishes execution and returns to m1().
9. The m1() method finishes execution and returns to main().
10. The main() method finishes execution and the program terminates.
For more similar questions on NullPointerException:
brainly.com/question/13069348
#SPJ11
pleaaaaaaaaaaaaaaaaaaase help meeeeee
i this correct
Answer:
15.3 miles.
Step-by-step explanation:
Area of trapezoid is given by = 1/2*( sum of parallel side) height
Given area of trapezoid = 221.85 sq. miles
Length of parallel sides = 19 miles and 10 miles.
Sum of parallel sides = 19 miles + 10 miles = 29 miles.
Plugging the above values in formula for area of trapezoid we have
Area of trapezoid is given by = 1/2*( sum of parallel sides) height
221.85 = 1/2 (29) height
=> 221.85* 2 = 29* height
=> 443.7 = 29* height
=> 443.7/29 = height
=> height = 15.3
Thus, height is 15.3 miles.
Determine the 8th term in the geometric sequence whose first term is -10 and whose common ratio is 2.
Help pls!
Answer:
T8 = -1280
Step-by-step explanation:
Tn = ar^n - 1
T8 = ar^7
T8 = -10*2⁷
T8 = -1280
How many angles are formed by the intersection of the diagonals?
The number of angles that are formed by the intersection of the diagonals is 4.
What is a square?A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.
It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.
Square area = Side²
The square's perimeter = 4 sides
Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.
Therefore, the correct option is 4.
Learn more about diagonal on:
https://brainly.com/question/25202503
#SPJ1
Complete question
How many angles are formed by the intersection of the diagonals in a square?
Challenge in a company, 80% of the workers are women. If 400 people work for the company who
aren't women, how many workers are there in all? Use pencil and paper. Show two different ways
that you can solve this problem.
9514 1404 393
Answer:
(100%/(100%-80%))×400 = 2000(80%/(100%-80%))×400 = 1600; 1600 +400 = 2000Step-by-step explanation:
Recognize that the number of non-women is 100%-80% = 20% of the workforce. There are two things you can do with that.
1) total/non-women = 100%/20% = x/400 ⇒ x = 400(100%/20%) = 2000
Effectively, we have computed 400/20% = 2000.
__
2) women/non-women = 80%/20% = w/400 ⇒ w = 400(80%/20%) = 1600
Then the total is ...
women + non-women = 1600 +400 = 2000
__
The total number of employees is 2000.
Find a positive and a negative coterminal angle for the given angle. 400°
Therefore, the negative coterminal angles for 400° are 40° and -320°.To find a positive and positive coterminal angle for 400°.
we need to add or subtract multiples of 360° until we reach a new angle.
Therefore, the positive coterminal angles for 400° are 760° and 1120°.
To find the negative coterminal angle, we can subtract multiples of 360° from 400°.
Subtracting 360° once, we get
400° - 360° = 40°.
Subtracting it again, we get
40° - 360° = -320°.
In summary, the positive coterminal angles for 400° are 760° and 1120°, while the negative coterminal angles are 40° and -320°.
To know more about positive coterminal angle visit:
https://brainly.com/question/29595158
#SPJ11
One positive coterminal angle for 400° is 40°, and one negative coterminal angle is -680°.
The given angle is 400°. To find a positive coterminal angle, we can add or subtract multiples of 360° to the given angle until we obtain a positive angle less than 360°.
Let's first find the positive coterminal angle:
1. Add 360° to the given angle:
400° + 360° = 760°
2. Continue adding 360° until we get an angle less than 360°:
760° - 360° = 400°
400° - 360° = 40°
So, one positive coterminal angle for 400° is 40°.
To find a negative coterminal angle, we can subtract multiples of 360° from the given angle until we obtain a negative angle greater than -360°.
Let's find the negative coterminal angle:
1. Subtract 360° from the given angle:
400° - 360° = 40°
2. Continue subtracting 360° until we get an angle greater than -360°:
40° - 360° = -320°
-320° - 360° = -680°
So, one negative coterminal angle for 400° is -680°.
Learn more about coterminal angle:
https://brainly.com/question/23093580
#SPJ11