Answer:
The answer is A
Step-by-step explanation: BIG BRAIN
The equation that will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out is D: 160 - 40 - a.
To determine the equation that will give us the measure of the additional angle, a, that Nuha needs to push the door before she can get out, we can break down the information provided:
1. The door needs to rotate 160° for Nuha to pass through.
2. The wind pushed the door 40°.
To find the additional angle that Nuha needs to push the door, we can subtract the angle already rotated (40°) and the angle she needs to pass through (160°) from the total rotation angle:
Total rotation angle = Angle already rotated + Angle Nuha needs to push + Additional angle Nuha needs to push
Based on this equation, we can eliminate options A, B, and C since they do not accurately represent the situation.
The correct equation is option D: 160 - 40 - a. This equation represents subtracting the angle already rotated (40°) and the angle Nuha needs to pass through (160°) from the total rotation angle, leaving the additional angle (a) that Nuha needs to push the door.
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The complete question:
Nuha is going through a revolving door that needs to rotate 160° to allow her to pass through. The wind pushed the door around 40°. Nuha needs to push it the rest of the way.
Which equation will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out?
Choose 1 answer:
A: 160+40= a
B: 40 x 2 = a
C: 160 ÷ 40 = a
D: 160-40-a
gyik6yrdiuj5tedxsiujh
Answer:
hbvjhhjgfbhfhghhjv5bjbhu6hjbhhi8jvhbkhbjgug7hbguf76
the cost of a meal at a restaurant was $\$15$ before tax and tip. if the $7\%$ tax and an $18\%$ tip are each based solely upon the cost of the meal, what is the total cost in dollars of the meal, tax and tip? express your answer as a decimal to the nearest hundredth.
Total cost in dollars of the meal, tax and tips is $18.75
What is tip?Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.
What is the total cost in dollars?given, cost of meal = $15 before tax and tip
After that $7% tax and $18% tip are included upon the cost of meal
Now, cost for tax = $ (7/100 × 15) = $1.05
cost for tip = $ (18/100 × 15) =$2.7
Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip
Total cost = $18.75
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Question 26. Please help. I would appreciate it if you could explain your steps as well, thanks
Step-by-step explanation:
As angle BAD is a right angle (90°), angles BAC and CAD must sum up to 90°.
Therefore angle CAD = Angle BAD - Angle BAC
= 90° - (x + 20)°
= (70 - x)°
Hence the answer is G.
Identify the factors of the function y = 6x2 – 9x
Answer:
3x(2x - 3)
Step-by-step explanation:
Given
y = 6x² - 9x ← factor out 3x from each term
= 3x(2x - 3)
Container A has 1600 ml of water and is leaking 12 ml per minute.
Container B has 2000 ml and is leaking 20 ml per minute.
Let m represest the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water
Answer:
at 50 minutes both containers will be at 1000 ml having the same amount of water
Step-by-step explanation:
look at the image
Hailey is the oldest of four siblings whose ages are consecutive integers. If the sum of their ages is 66, find Hailey's age.
Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Hailey's ageBeing "x" the age of the youngest child, then you have:
"x" the age of the youngest child."x + 1" the age of one middle child."x + 2" the age of the other middle child."x + 3" the age of the oldest child, in this case Hailey's age.On the other hand, you know that the sum of their ages is 66. Then, the equation is:
x + x + 1 + x + 2 + x + 3 = 66
Solving:
4x + 6 = 66
4x = 66 - 6
4x = 60
x= 60 ÷ 4
x= 15
Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18
Finally, Hailey's age is 18 years.
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Someone help me out please
If triangle DEF has a 90° angle at vertex E, which statements are true
In triangle DEF, with a 90° angle at vertex E, the angle at vertex D is acute, and the triangle is a right triangle. Option B, D.
If triangle DEF has a 90° angle at vertex E, it means that the angle formed by the two sides that meet at vertex E is a right angle. Based on this information, we can determine which statements are true.
Triangle DEF is an obtuse triangle: False
An obtuse triangle is a triangle with one angle greater than 90°. Since we know that angle E is a right angle (90°), triangle DEF cannot be an obtuse triangle.
The angle at vertex D is acute: True
An acute angle is an angle that measures less than 90°. In triangle DEF, since angle E is a right angle (90°), the other two angles, at vertices D and F, must be acute angles.
The angle at vertex F is obtuse: False
Similar to statement 1, an obtuse angle measures greater than 90°. Since we know angle E is a right angle (90°), the other two angles, at vertices D and F, cannot be obtuse angles.
Triangle DEF is a right triangle: True
A right triangle is a triangle that has one angle measuring 90°. Given that angle E is a right angle, triangle DEF is indeed a right triangle.
The angle at vertex D is obtuse: False
An obtuse angle measures greater than 90°. Since we know that angle E is a right angle (90°), the angle at vertex D cannot be obtuse. It is an acute angle.
Therefore, the correct statements are:
The angle at vertex D is acute.
Triangle DEF is a right triangle. So Option B, D is correct.
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Note the complete question is
If triangle DEF has a 90° angle at vertex E, which statements are true?
a.) Triangle DEF is an obtuse triangle.
b.) The angle at vertex D is acute.
c.) The angle at vertex F is obtuse.
d.) Triangle DEF is a right triangle.
e.) The angle at vertex D is obtuse.
Someone help me please !
Answer:
1
Step-by-step explanation:
X= -3-2=-5
y= -2-3=-5
-5/-5=1
Given the trinomial, what is the value of the coefficient b in the factored form? 2x2 4xy − 48y2 = 2(x by)(x − 4y)
In the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.
In the factored form of the trinomial 2x^2 + 4xy - 48y^2 = 2(x - by)(x - 4y), the value of the coefficient b can be determined by comparing the factors of the trinomial with the factored form.
We see that in the factored form, the binomial (x - by) represents the first term and the binomial (x - 4y) represents the last term. The coefficient b corresponds to the term involving both x and y, which is the middle term 4xy in the original trinomial.
Comparing the middle term of the original trinomial (4xy) with the factored form, we can deduce that the coefficient b is equal to 4.
Therefore, in the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.
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An equilateral triangle has a median drawn from one angle to the opposite side. What is the measure of each angle formed by the place where the median meets the vertex?
(Step by step pls)
Worth 20 points
The measure of each angle formed by the place where the median meets the vertex is 30 degrees
How to determine the angle?The median of an equilateral triangle divides the side and the angle into equal parts.
If the angle at the vertex is, the new angle would be
Angle = x/2
The angle at the vertex of an equilateral triangle is 60.
So, we have:
Angle = 60/2
Evaluate
Angle = 30
Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees
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Match the third order linear equations with their fundamental solution sets. I got 3 out of 6 correct so far.
1. y'''−5y''+y'−5y=0
2. y'''−y''−y'+y=0
3. y'''−7y''+12y'=0
4. y'''+3y''+3y'+y=0
5. ty'''−y''=0
6. y'''+y'=0
A. ettete−t
B. 1tt3
C. 1e4te3t
D. 1cos(t)sin(t)
E. e5tcos(t)sin(t)
F. e−tte−tt2e−t
To match the third-order linear equations with their fundamental solution sets, we will analyze the characteristics of each equation and determine the corresponding solutions. The correct matches are as follows:
y'''−5y''+y'−5y=0 -> D. 1cos(t)sin(t)
y'''−y''−y'+y=0 -> C. 1e4te3t
y'''−7y''+12y'=0 -> B. 1tt3
y'''+3y''+3y'+y=0 -> F. e−tte−tt2e−t
ty'''−y''=0 -> E. e5tcos(t)sin(t)
y'''+y'=0 -> A. ettete−t
For the equation y'''−5y''+y'−5y=0, the characteristic equation has complex roots. The corresponding fundamental solution set is D. 1cos(t)sin(t).
The equation y'''−y''−y'+y=0 has distinct real roots. The fundamental solution set is C. 1e4te3t.
The equation y'''−7y''+12y'=0 has a repeated real root. The fundamental solution set is B. 1tt3.
In the equation y'''+3y''+3y'+y=0, the characteristic equation has a repeated complex root. The corresponding fundamental solution set is F. e−tte−tt2e−t.
For the equation ty'''−y''=0, we have a differential equation with a variable coefficient. The fundamental solution set is E. e5tcos(t)sin(t).
The equation y'''+y'=0 has distinct real roots. The fundamental solution set is A. ettete−t.
By matching the characteristics of each equation with the appropriate solution set, we can determine the correct matches for the given third-order linear equations.
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Sinh has 14/16 pound of nuts. He separates them into 216-pound servings. How many servings can he make?
Which expression models the situation?
Hey there!
Assuming you meant he has \(216\) pounds if nuts and divides them in to \(\frac{14}{16}\) shares, the correct answer is \(246\frac{6}{7}\)
Since you can divide by multiplying by the reciprocal, we have:
\(216 * \frac{16}{14}\) ~To make it easier, we will put \(216\) over \(1\).
\(\frac{216}{1} * \frac{16}{14}\) ~Next, multiply the fractions
\(\frac{3456}{14}\) ~Then, convert to mixed number
\(246 \frac{12}{14}\) ~Simplify
\(246\frac{6}{7}\) ~Answer
Hope it helps and have a great day!
Answer:
14/16 ÷ 2/16
Step-by-step explanation:
because i have the same homework and got it right fiytb
find an equation for line L
Explanation:
Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.
You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.
Help please!!!
Determine the domain and range of each function.
31.
32.
Given that the square root of 225 is 15 and the square root of 256 is 16, which number is closest to the square root of 240?
Responses
15.1
15.1
15.5
15.5
15.8
15.8
15.9
15.9
We can approach this problem by first finding the two perfect squares that 240 lies between:
15^2 = 225 and 16^2 = 256.
Since the square root of 240 must lie between the square root of 225 and 256, we can choose the number that is closest between 15 and 16.
To do this, we can calculate the distance between the square root of 240 and each of the two numbers:
The distance between 15 and the square root of 240 is |15 - sqrt(240)| = 1.18
The distance between 16 and the square root of 240 is |16 - sqrt(240)| = 0.34
Therefore, 16 is closest to the square root of 240.
A building has 9 rows of mailboxes. There are 6 mailboxes in each row. How many mailboxes are there?
Answer:
54 mailboxes
Step-by-step explanation:
9*6=54
Answer: 54
Step-by-step explanation: 9x6=54
Can someone solve this please
Answer:
m = 8
k = 7
Step-by-step explanation:
Remark
Unless this really is a parallelogram, it is not (easily) solvable. I think you likely intend it to be a parallelogram, so it has an easy solution. The diagonals bisect each other.
So m = 8 because the intersect point of the diagonal and the second one makes the two parts equal.
k + 4 = 11 Subtract 4 from both sides.
-4 -4
k = 7
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO?!
Suppose the average yearly salary of an individual whose final degree is a master's is $ thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $ thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ nothing thousand and the average yearly salary for an individual whose final degree is a master's is $ nothing thousand.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Average salary of a bachelor's degree holder = $57,000
Average salary of a master's degree holder = $59,000
Step-by-step explanation:
Let:
Average salary of a bachelor's degree = b
Salary of a master's holder = 2b - 55000
Combined salary of both degrees :
b + (2b - 55000) = 116000
b + 2b - 55000 = 116000
3b = 116000 + 55000
3b = 171000
Divide both sides by 3
3b/3 = 171000/3
b = 57000
Hence,
Average salary of a bachelor's degree holder = $57,000
Average salary of a master's degree holder = 2(57000) - 55000 = 59,000
Which inequality is true when x = -3?
A) 5x < -15
B) 5x ≥ 15
C) -5x ≤ 15
D) -5x > 15
Answer:
C)
-5(-3) = 15 therefore the less than/equal too statement stands truest amongst the total inequalities.
At what point does the line given by the following equation cross the y-axis?
y = -2x + 3
The given line y = -2x + 3 will cross the y-axis at (0, 3).
Coordinate plane:A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.
The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).
Here we have
The equation of the line is y = -2x + 3
To find the required point take x = 0
=> y = -2(0) + 3
=> y = 0 + 3
=> y = 3
Therefore,
The given line y = -2x + 3 will cross the y-axis at (0, 3).
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All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as
A. Write -in adjustment
B. Write -in deductions
C. Miscellaneous adjustments
D. Miscellaneous deductions
The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.
All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment.
When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.
Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).
Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.
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ANSWER THIS CORRECTLY AND GET 100 PTS AND BRAINLIEST
Answer:
4y+6x2-6+y is not equivalent3y+6x2+6 is equivalent, but not fully simplified5y-6x2-5+1 is not equivalent5y-8x2-6+14x2 is equivalent and simplified fully3y+6x2-5-1 is equivalent and simplified fully5y+6x2-6 is not equivalent4y-8x2-5+14x2+y-1 is equivalent, but not fully simplifiedHope I helped!! :)Answer:
nmnm
Step-by-step explanation:
nmnmnm
Rewrite the deÖning statement in logical symbolism for the following deÖnitions. Then write the negations of the statements using the same symbolism. a. A function f : D ! R is periodic i§ there exists a positive real number p such that for every element x of D R, f(x+p) = f(x). b. A function f : D ! R is injective i§ for all x and y in D R, if f(x) = f(y), then x =
The negation of this statement :∃x, y ∈ D, f(x) = f(y) and x ≠ yOr∃x, y ∈ D, [f(x) = f(y)] and [x ≠ y]
a. Let D be the domain of the function f, f: D -> R.
Then, "A function f: D -> R is periodic if there exists a positive real number p such that for every element x of D R, f(x+p) = f(x)" can be written as:∃p > 0, ∀x ∈ D, f(x+p) = f(x)Or∀x ∈ D, ∃p > 0, f(x+p) = f(x)
The negation of this statement can be written as:∀p > 0, ∃x ∈ D, f(x+p) ≠ f(x)Or∃x ∈ D, ∀p > 0, f(x+p) ≠ f(x)b.
b. Let D be the domain of the function f, f: D -> R. Then, "A function f: D -> R is injective if for all x and y in D R, if f(x) = f(y), then x = y" can be written as:∀x, y ∈ D, f(x) = f(y) → x = yOr∀x, y ∈ D, [f(x) = f(y)] → [x = y]The negation of this statement can be written as:∃x, y ∈ D, f(x) = f(y) and x ≠ yOr∃x, y ∈ D, [f(x) = f(y)] and [x ≠ y]
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Multiply.
45.915 x 6541.99991
Answer:
300,375.92586765
Step-by-step explanation:
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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if a is a 7 × 4 matrix, what is the minimum and maximum possible value of nullity(a)? the smallest possible value of nullity(a) is . the largest possible value of nullity(a) is
The smallest possible value of nullity(a) is 0, and the largest possible value of nullity(a) is 4. To determine the minimum and maximum possible values of nullity(a) for a 7 × 4 matrix, we need to consider the properties of a matrix and nullity.
Nullity(a) is defined as the dimension of the null space of the matrix 'a'. It is also equal to the number of linearly independent columns in the matrix that are not part of its column space.
Since the matrix is a 7 × 4 matrix, it has 4 columns. The rank-nullity theorem states that:
rank(a) + nullity(a) = number of columns in matrix 'a'
The minimum possible value of nullity(a) occurs when all columns are linearly independent, which would mean the rank of the matrix is at its maximum value. In this case, the maximum rank of a 7 × 4 matrix is 4. So, the smallest possible value of nullity(a) is: nullity(a) = number of columns - rank(a)
nullity(a) = 4 - 4 = 0
The maximum possible value of nullity(a) occurs when the rank of the matrix is at its minimum value. In this case, the minimum rank of a 7 × 4 matrix is 0. So, the largest possible value of nullity(a) is: nullity(a) = number of columns - rank(a)
nullity(a) = 4 - 0 = 4
To summarize, the smallest possible value of nullity(a) is 0, and the largest possible value of nullity(a) is 4.
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Lin tried to reflect triangle ABC across line t . She knows something went wrong because the image isn’t congruent to the original figure. (images included)
What is one idea that Lin probably understands about reflections?
help!!
Answer:
the image should be the same size as the reflection
The mandatory orientation and size of the triangle image did not match with the former triangle ABC.
Given that,
Lin tried to reflect triangle ABC across line t. She knows something went wrong because the image isn’t congruent with the original figure.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The given triangle is ABC,
Lin has to form the image of the reflection of the triangle ABC across the line t. Since the observation shows that the image formed by Lin is oriented and enlarged and does not seems to be congruent with the former triangle.
Thus, the mandatory orientation and size of the triangle image did not match the former triangle ABC.
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#5. What's the difference between a terminating decimal and non-terminating
decimal?
Answer:
A terminating decimal ends while a non-terminating decimals repeats itself.
Step-by-step explanation:
2.50-terminating decimal
2.3333...-non-terminating decimal
Answer:
good answer thats was a very helpful answer