A. If n is a real number, then -n is a negative number.
Answers
The statement "If n is a real number, then -n is a negative number" is true. Let's see why: Suppose that n is a real number.
Then, -n is the additive inverse of n. This means that when we add n and -n together, we get 0. That is: n + (-n) = 0 So, if n is positive, then we need a negative number to add to it to get 0.
This means that -n is negative.If n is negative, then we need a positive number to add to it to get 0. This means that -n is positive. So, no matter what value n takes, -n will always have the opposite sign of n.
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Related Questions
Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution.
Answers
The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.
In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:
Z=(X-μ)/σ
It is used to measure how many standard deviations the measure is from the mean.
After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.
The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.
Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
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solve for x in [0, π]: 2 cos(x) > sec(x)
Answers
The value for x is 7π/6 and 11π/6.
sin2xsecx+2cosx=0
(2sinxcosx)(1/cosx)+2cosx=0
sinxcosx/cosx+2cosx=0
So,
2sinx+2cosx=0
2(sinx+cosx)=0
(2(sinx+cosx))²=0
4(sin²x+cos²x+2sinxcosx)=0
hence,
(sin²x+cos²x+2sinxcosx)/4=0/4
sin2x+cos2x+2sinxcosx=0
1+sin2x=0
sinx=−1/2
=7π/6 and 11π/6
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ten subtracted from a number if the difference is 30 what was the orginal number
Answers
X=30+10
X= 40
So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30
Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
Answers
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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What is the solution to this system of equations?
x + 3y - z = 6
4x - 2y + 2z= -10
6x + z= -12
(an explanation would be great because i barely understand how to do this)
Answers
Answer:
\(x=-3, y=5, z=6\)
Step-by-step explanation:
1. Divide by 2 both sides in the second equation:
\(4x - 2y + 2z= -10\) \(2x - y + z= -5\)2. From the third equation find z in terms of x:
\(6x + z= -12\) \(z= -6x-12\)3. Add up the first and new second equations and find y in terms of x:
\((x+2x)+(3y-y)+(-z+z)=6+(-5)\) \(3x+2y=1\) \(2y=1-3x\) \(y=0.5-1.5x\)4. Put new alternatives instead of y and z in the first equation:
\(x+3(0.5-1.5x)-(-6x-12)=6\) \(x+1.5-4.5x+6x+12=6\) \(2.5x=-7.5\) \(x=-3\)5. Now we can easily find other two unknowns by using their equations by means of x:
\(y=0.5-1.5\times(-3)\) \(y=0.5+4.5\) \(y=5\)\(z=-6\times(-3)-12\) \(z=18-12\) \(z=6\)Answer:
Step-by-step explanation:
2x + 6y - 2z = 12
12x - 6y + 6z = -30
14x + 4z = -18
6x + z = -12
14x + 4z = -18
-24x - 4z = 48
-10x = 30
x = -3
6(-3) + z = -12
-18 + z = -12
z = 6
-3 + 3y - 6 = 6
-9 + 3y = 6
3y = 15
y = 5
x = -3, y = 5, z = 6
A trapezoid has bases of lengths 14 and 21. Find the trapezoid's height if it's area is 245
Answers
Answer: 8575/2
Step-by-step explanation:
HELP PLEASE
The triangle shown has an exterior angle that measures 152°. Find the
measures of the two unknown interior angles.
Answers
Answer:
B) 28° and 38°
Step-by-step explanation:
180°-152°= 28°
180°-114°-28°= 38°
What is the measure of angle ABE?
The measure of angle ABE is ___degrees
Answers
The measure of angle ABE is 40 degrees.
What is angle ?The angle formed by two rays is in the plane containing the rays.An angle is also formed by the intersection of two planes.An angle is a combination of two rays (half rays) that have a common endpoint.The latter is known as the apex of the angle and the ray is known as the side.There are also cases of angled legs and arms.In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle.The word "angle" comes from the Latin word "angulus" which means "horn".When two lines intersect each other, the vertically opposite angles are equal.
Therefore, angle ABE = angle CBD
angle ABE = 40 degrees.
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∠5 is a supplement of ∠6, and m∠5=78°. Find m∠6.
Answers
Answer:
\(102^\circ\)
Step-by-step explanation:
Given that:
\(\angle 5\) is a supplement of \(\angle 6\).
m\(\angle 5\) = 78°
To find:
m\(\angle 6\) = ?
Solution:
First of all, let us learn about the concept of an angle being a supplement of the other angle.
\(\angle B\) is known as supplement of \(\angle A\), if sum of the two angles is equal to 180°.
\(i.e. \angle A +\angle B=180^\circ\).
For example, angle made on one side by a line intersecting the other line are supplement of each other.
Here, we are given that \(\angle 5\) is a supplement of \(\angle 6\).
In other words:
\(\angle 5+\angle 6=180^\circ\)
Putting value of \(\angle 5\):
\(\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}\)
So, the answer is: \(102^\circ\)
the main difference on the income statement between a manufacturer and a merchandiser includes: multiple choice items making up cost of goods sold items making up raw materials inventory selling and administrative expenses revenue
Answers
The income statement presents the revenues, expenses, and net income of a company over a specific period. The main difference on the income statement between a manufacturer and a merchandiser lies in the items making up the cost of goods sold (COGS).
The income statement presents the revenues, expenses, and net income of a company over a specific period. For a manufacturer, the COGS includes the cost of raw materials, direct labor, and manufacturing overhead. These costs are associated with the production process and transforming raw materials into finished goods. Additionally, the manufacturer's income statement may also include other manufacturing costs, such as depreciation of production equipment.
On the other hand, for a merchandiser, the COGS primarily consists of the cost of acquiring or purchasing the goods that are sold to customers. This typically includes the cost of purchasing inventory from suppliers, freight costs, and any other costs directly associated with obtaining the merchandise for resale. Merchandisers do not have the additional costs related to the production process or manufacturing overhead that manufacturers incur.
Therefore, the key distinction on the income statement between a manufacturer and a merchandiser is the composition of the COGS. Manufacturers include costs associated with producing goods, while merchandisers focus on the costs of acquiring and reselling inventory. Other components of the income statement, such as revenue and selling and administrative expenses, may be similar for both types of businesses.
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What is the simplified value of the expression m/n if m=4/5 and n= −0.25
Answers
Answer:
The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.
Step-by-step explanation:
GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!
44 pounds is equivalent to
ao
kilograms.
Answers
Answer:
19 kilograms
Step-by-step explanation:
because it is
if x=4 and y=-2, the value of 1/2xy^2 is
a. 32
b. 8
c. -4
d. -8
Answers
Answer:
b. 8
Step-by-step explanation:
To solve, we need to plug in the x and y values since we already have the values given to us
1/2(4)(2^2)
We should do the exponents first, 2^2 is 4
Now we are left with 1/2(4)(4)
4 times 4 is 16
16 times 1/2 is the same as 16/2
16/2=8
b. 8
What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units
Answers
Answer: d
Step-by-step explanation:
Stay safe have a good day
Answer:
C. 15 units
Step-by-step explanation:
If this is a late answer, I'm very sorry. However I hope that others may find this helpful :)
Use this Distant vs time graph to answer the questions:
1. What measurement is represented on the x-axis and what unit is it measured in?
2. What measurement is represented on the y-axis and what unit is it measured in?
3. Hours 0-4 (Section A) the person is traveling away from their starting location. How far do they travel in those 4 hours? Remember to include units.
4. What is their rate of change (speed) in Section A? Remember to include units.
5. What is happening in Section B (Hours 4-6)?
6. What is the rate of change (speed) in Section B? Remember to include units
7. How far did this person travel in Section C (Hours 6-7)? Remember to include units.
8. What is their rate of change (speed) in Section D (Hours 7-10)? Remember to include units.
9. During which section was the person moving at the highest speed? What was their speed? Defend your answer.
10. During which section did the person travel the farthest? How far did they travel?
11. BONUS: Write a short (paragraph) scenario that tells the story about where the data on the graph came from. You can be as creative as you want!
Answers
Using the piecewise function graphed in this problem, we have that:
1. The x-axis represents the time in hours.
2. The y-axis represents the distance in miles.
3. The person traveled 30 miles in those 4 hours.
4. The person traveled at a rate of 7.5 miles per hour in Section A.
5. In section B, the person remained stopped 30 miles from her starting point for 2 hours.
6. The velocity for Section B was of 0 miles per hour.
7. The person traveled 30 miles in Section C.
8. 8. The speed in Section D was of 20 miles per hour.
9. The person was moving at the highest speed in Section C, at a rate of 30 miles per hour.
10. The farthest distance traveled was of 60 miles in Section D.
11. A person had an appointment 30 miles away from their home, and due to slow traffic had to leave early. Then the appointment lasted 2 hours, then the person went to another place 30 miles away to do something then came back home.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
From the graph, the function has four different definitions, in intervals, A, B, C and D.
From the axis of the graph, we have that:
1. The x-axis represents the time in hours.
2. The y-axis represents the distance in miles.
Considering that the graph has points (0,0) and (4,30), we have that:
3. The person traveled 30 miles in those 4 hours.
The velocity is given by distance divided by time, hence:
30/4 = 7.5.
4. The person traveled at a rate of 7.5 miles per hour in Section A.
In Section B, the person remains at the same position, hence:
5. In section B, the person remained stopped 30 miles from her starting point for 2 hours.
The distance was of 0, hence:
6. The velocity for Section B was of 0 miles per hour.
In Section C, from the y-axis of the graph, the distance traveled was:
60 - 30 = 30 miles.
7. The person traveled 30 miles in Section C.
For Section D, the person traveled 60 miles in 10 - 7 = 3 hours, hence:
60/3 = 20.
8. The speed in Section D was of 20 miles per hour.
10. The farthest distance traveled was of 60 miles in Section D.
In Section C, the person traveled 30 miles in one hour = 30 miles per hour, hence:
9. The person was moving at the highest speed in Section C, at a rate of 30 miles per hour.
For item 11, a situation that can be modeled is:
A person had an appointment 30 miles away from their home, and due to slow traffic had to leave early. Then the appointment lasted 2 hours, then the person went to another place 30 miles away to do something then came back home.
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how many simple random samples of size 4 can be selected from a population of size 8? group of answer choices 32 4 1680 70
Answers
there are 70 simple random samples of size 4 that can be selected from a population of size 8. Your answer is 70.by using combination concept
There are 70 simple random samples of size 4 that can be selected from a population of size 8.
To determine how many simple random samples of size 4 can be selected from a population of size 8, we can use the combination formula, which is:
C(n, k) = n! / (k!(n-k)!)
where C(n, k) is the number of combinations, n is the total population size, and k is the sample size.
In this case, n = 8 and k = 4. Plugging the values into the formula:
By following function
C(8, 4) = 8! / (4!(8-4)!)
C(8, 4) = 8! / (4!4!)
C(8, 4) = (8×7×6×5) / (4×3×2×1)
C(8, 4) = 1680 / 24
C(8, 4) = 70
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There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color? P(R,R)
Pilihan jawaban
2/5
1/21
5/35
1/7
Answers
Answer:
1/7
Step-by-step explanation:
6 + 5 + 4 = 15
There are 15 marbles to start with.
p(event) = (number of desired outcomes)/(total number of outcomes)
First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):
p(r) = 6/15
Now there are 5 red marbles left and a total of 14 marbles left.
Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):
p(r) = 5/14
These events are independent, so we multiply the two probabilities.
p(r, r) = 6/15 × 5/14
p(r, r) = 3/7 × 1/3
p(r, r) = 1/7
The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q
Answers
Answer:
Hello,
p=4
q=7
Step-by-step explanation:
The vertex of the parabola is (-2,3)
Equation of the parabola is k(x+2)²+3=x²+px+q
Let's identify the coefficients:
kx²+4kx+4k+3=x²+px+q
so
k=1
4*1=p
4*1+3=q
The values of the coefficients for the equation of the parabola are p = 4, and q = 7.
Given that,
vertex of the parabola is (-2,3)
The equation of the parabola is given as:
k(x + 2)² + 3 = x² + px + q
Substitute the value of k = 1 into the equation:
(x + 2)² + 3 = x² + px + q
Now, let's expand (x + 2)²:
(x + 2)² = x² + 4x + 4
Substitute this back into the equation:
x² + 4x + 4 + 3 = x² + px + q
Now, simplify the equation:
x² + 4x + 7 = x² + px + q
Now, let's identify the coefficients:
Coefficient of x²:
1 = 1
Coefficient of x:
4 = p
Constant term:
7 = q
Therefore, the values of the coefficients are p = 4, and q = 7.
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Show Long division steps!
WHATS 1.51 divided by 4.94 no faction
Answers
Answer: The Answer is 3.271
Step-by-step explanation: lol the steps are below
Question 22 OT Which of the following equations represents a parabola that opens down and has a vertex at (3,-1)? O A. y = -2(x - 3)2 - 1 O B. y = -2(x+3)2 - 1 C. y = 2(x-3)2 - 1 D. y = -2(x - 3)2 +1 x – SUBMIT PREVIOUS
Answers
Given data:
The options in the probelm.
The first option expression is,
\(\begin{gathered} y=-2(x-3)^2-1 \\ (y+1)=-2(x-3)^2 \\ \end{gathered}\)Here, negative sign shows the parabola is oppen down and vertix is (3,-1).
Thus, first option is correct.
Can anyone help me with an algebra 2 car depreciation project? It’s due in 4 hours
Answers
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Answers
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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Write all the names of the quadrilateral shown.
A square, rhombus, parallelogram
B square, rectangle, parallelogram
C square, rectangle
D square, rhombus, rectangle, parallelogram
Answers
Answer:
A
Step-by-step explanation:
my brain says so?
If the interior angle of triangle are 3x,4x,and5x find the ize of angle of the traingle. Alo fing the difference between larget and malleat angle
Answers
Answer:
45, 60, 75
Difference between the largest and smallest angles
75 - 40 = 35
Step-by-step explanation:
First solve for x. The sum of the interior angles of a triangle is 180
3x + 4x + 5x =180 Combine like terms
12x + 180 Divide both sides by 12
\(\frac{12x}{12}\) = \(\frac{180}{12}\)
x = 15
3x = 3(15) = 45
4x = 4(14) = 60
5x = 5(15) = 75
Step-by-step explanation:
please, burn this into your brain for life :
the sum of all angles in a triangle is always (yes, no exceptions) 180°.
so,
3x + 4x + 5x = 180
12x = 180
x = 180/12 = 15
3x = 3×15 = 45°
4x = 4×15 = 60°
5x = 5×15 = 75°
the difference between largest and smallest angle is therefore
75 - 45 = 30°
How many observations should a time study analyst plan for in an operation that has a standard deviation of 1.5 minutes per piece if the goal is to estimate the mean time per piece to within .4 minute with a confidence of 95.5 percent? (Do not round intermediate calculations. Round up your final answer to the next whole number.)
Number of observations
Answers
The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.
We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:
\(n = (Z * \sigma / E)^2\)
Where:
n = sample size
Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)
σ = procedure standard variation (1.5 minutes per piece)
E = margin of error (0.4 minutes)
Plugging in the values, we can calculate the sample size:
\(n = (1.96 * 1.5 / 0.4)^2\)
\(n = (2.94 / 0.4)^2\)
\(n = 7.35^2\)
n ≈ 54.02
We round up the sample size to the next whole number because we can't have a portion of an observation:
n = 55
Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.
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4. Given h(x)=13.7 (3.5), answer the following questions
a) Identify the base
b) Identify the domain of the function
c) What is the asymptote of the function?
d) What is the y-intercept?
e) What is the x-intercept?
Answers
The base of the function is 3.5 and the domain is (-∝, ∝)
a) Identify the baseGiven that
h(x) = 13.7(3.5)^x
The base is
Base = 3.5
b) Identify the domain of the functionThis is the set of input values of the function
In this case, we have
Domain = (-∝, ∝)
c) What is the asymptote of the function?The function does not have a valid value of y = 0
This means that
Asymptote: y = 0
d) What is the y-intercept?This is when x = 0
So, we have
h(0) = 13.7(3.5)^0
h(0) = 13.7
e) What is the x-intercept?This is when y = 0
So, we have
13.7(3.5)^x = 0
The value of x is DNE
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HURRY UP Please answer this question
Answers
Answer:
\( {6}^{2} + {b}^{2} = {10}^{2} \)
\(36 + {b}^{2} = 100\)
\( {b}^{2} = 64\)
\(b = 8\)
Amira is told there is a trick to finding the slope within an equation in standard form, Ax + By= C. She is told she can rewrite this equation in slope-intercept form, y = mx + b, to find the pattern. She correctly rewrites the equation 7x + 9y = 14 in slope-intercept form as y = - 7/9 x + 14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?
Answers
Answer:
The slope of given equation in standard form
\(m = \frac{-7}{9}\)
Step-by-step explanation:
Explanation:-
Given equation of the line 7x + 9y = 14
The given equation in slope-intercept form, y = mx + b
Slope - intercept form \(y = \frac{-7}{9} x + \frac{14}{9}\)
Comparing m = - 7/9
Here m = -7/9
C = 14/9
The slope of given equation in standard form
\(m = \frac{-7}{9}\)
12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
10 feet deep on ONE side of the street along a 1 mile section of a parade route.
Answers
whats the answer? someone please tell me i need help
Answers
Answer:
x° = 48°
Step-by-step explanation:
In order to solve this, we need to know that the sum of all inner angles of the triangle is equal to 180°. Based on this diagram we know that...
180° = 90° + 42° + x°
From here we know that...
x° = 180° - 90° - 42°
x° = 48°