Answer:
y=-x-3
Step-by-step explanation:
Write in slope-intercept form, the equation is y=mx+b .
y=−x−3
Show your work 0.4(20-10m) = 2.5 -2m -12.5
Answer:
give the guy under me a brainlist lol
Step-by-step explanation:
find the area using a double integral. the region d bounded by y=x^3, y=x^3+1
The area of the region d is 1 square unit.
Given that the region d is bounded by y=x^3, y=x^3+1.The area of the region d can be calculated using a double integral. We know that the area is given by A= ∬d dA.
Here, dA is the differential area element, which can be represented as dA=dxdy.
We can write the above equation asA= ∫∫d dxdy. From the given bounds, we know that the limits of integration for y are x^3 to x^3+1, and for x, the limits are from 0 to 1.
\(Thus,A= ∫0^1∫x³^(x³+1) dxdy.\)
Now, we can perform the integration with respect to x and then with respect to y.
\(A= ∫0^1 [(x³+1)-(x³)] dy= ∫0^1 (1) dy= 1\)
The required area is 1 square unit.
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suppose there exists a hamming code of length 25 that corrects 2 errors. assuming that the probability of a correct transmission of an individual symbol is 0.75, find the probability that a message transmitted using this code will be correctly received.
The probability that a message transmitted using a Hamming code of length 25 and that corrects 2 errors will be correctly received is 0.6384.
Hamming codes use parity bits to detect and correct errors in the data. In this case, a code of length 25 with 2 error corrections can detect up to two errors and can correct up to one error.
Since the probability of a correct transmission of an individual symbol is 0.75, the probability of a correct transmission of the entire message is calculated by multiplying 0.75 by itself 25 times, giving a probability of 0.6384.
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What is the probability that the commute on a particular game day exceeds the commute on a particular non-game day?
Using the normal distribution, there is a 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, on game days, the parameters are:
\(\mu = 20, \sigma = 9\)
On non-game days, the parameters are:
\(\mu = 12, \sigma = 4\)
For the distribution of differences, the mean and the standard deviation are given by:
\(\mu = 12 - 20 = -8\).\(\sigma = \sqrt{4^2 + 9^2} = 9.85\)The desired probability is P(X > 0), which is one subtracted by the p-value of 0, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (0 - (-8))/9.85
Z = 0.81
Z = 0.81 has a p-value of 0.7910
1 - 0.7910 = 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.
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I don’t know if this is correct. Please help !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
a translation left 6 units and up 4 units
Answer:
Step-by-step explanation:
The figures are congruent, so all you need do is pick 1 point from each figure and tell what it does. I'm going to go from Figure J to figure K
I will pick the point (-4,8) on J. It is the furthest point upwards.
Where is that same point on K? It is at (2,4)
So what happened?
You've moved from -4 to 2 on the x value.
You've moved from 8 to 4 on the y value
You moved right (-4 to 2) = 6 units and
down (8 - 4) = 4 units
What would happen if you went from K to J
This time you have moved 6 units left and 4 units up.
Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake
Answer:
19, I'm pretty sure?
a book is 220 mm in width. what is this width in centimeters?; what is this width in meters?
The width of the book is 20cm and 0.2 mm.
To convert Milimeteres to other units, we can use :
1 cm = 10mm
1 m = 1000mm.
Width in centimeters = 200mm × 1/10
= 200/10 cm
= 20 cm
Width in meters = 200mm × 1/1000
= 200/1000 cm
= 2/10 cm
= 0.2 m
Therefore, the width of the book is 20cm and 0.2 mm.
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A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. What is the amount if you rent the SCUBA equipment for 1 hour and 15 minutes
Dilate the figure with the origin as the center of dilation.
(x,y) → (0.5x, 0.5y)
Answer:
see attached
Step-by-step explanation:
The dilation factor of 1/2 moves each point to half its previous distance from the origin.
Use an angle in standard position to find the exact value of sin(-135°)² + cos(-135°)² . Show your work.
Using trigonometric identities, the exact value of sin(-135°)² + cos(-135°)² is 1.
What is the exact value of the trigonometric value?We can calculate the exact value of sin(-135°)² + cos(-135°)² using trigonometric identities.
Considering the angle -135°. In standard position, this angle lies in the third quadrant.
From the third quadrant, the reference angle can be calculated as;
180 - 135 = 45
Using trigonometric identities;
sin²(-135°) + cos²(-135°) = sin²(45°) + cos²(45°)
The sine and cosine angle have equal value for complementary angles, we can write the equation as thus;
sin²(45°) + cos²(45°) = cos²(45°) + cos²(45°)
Using the identity sin²(θ) + cos²(θ) = 1, we can simplify further:
cos²(45°) + cos²(45°) = 1
cos 45 = √2 / 2, we can substitute the values as;
(√2/2)² + (√2/2)² = 1
(2/4) + (2/4) = 1
The exact value:
1 = 1
Therefore, sin(-135°)² + cos(-135°)² is equal to 1.
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Amanda is running along a circular racetrack that has a
radius of 3.5 km. She starts at the 3-o'clock
position and travels in the CCW direction. Amanda stops
running to tie her shoe when she is −2.6
Amanda's displacement is 9.93 km in the CCW direction.
Amanda is running along a circular racetrack that has a radius of 3.5 km. She starts at the 3-o'clock position and travels in the CCW direction. Amanda stops running to tie her shoe when she is −2.6 km away from the 3-o'clock position. What is Amanda's displacement?
Amanda is running along a circular racetrack with a radius of 3.5 km. When she stops to tie her shoe, she is −2.6 km away from the 3-o'clock position.
Therefore, Amanda is located at the 10:00 position.The circular racetrack's circumference can be calculated using the formula: `C = 2πr`, where r is the radius of the track
.C = 2πr= 2π (3.5 km)≈ 22.0 km
Amanda runs counterclockwise (CCW) from the 3-o'clock position to the 10-o'clock position, covering a distance equal to one-third of the track's circumference.
The distance Amanda ran is:D = (1/3)C= (1/3)(22.0 km)= 7.33 km
Thus, Amanda's displacement is 2.6 km + 7.33 km in the CCW direction.
The total displacement of Amanda is:2.6 km + 7.33 km = 9.93 km
Amanda is running around a circular racetrack with a radius of 3.5 km, starting at the 3-o'clock position and moving in the CCW direction. She stops running when she is -2.6 km away from the 3-o'clock position to tie her shoe. Amanda is located at the 10-o'clock position when she stops running. The circumference of the circular racetrack is approximately 22.0 km, and Amanda has covered one-third of the distance. She has covered 7.33 km distance. Amanda's displacement is 9.93 km in the CCW direction, calculated by adding her initial distance of 2.6 km from the 3-o'clock position to the distance of 7.33 km that she covered from there.
In conclusion, Amanda's displacement is 9.93 km in the CCW direction.
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Simplify each expression.
(6b3 + 6 - 64) - (8b3 - 6b4 + 2)
-
Answer:
2 ( 3b^4 - b^3 - 30)
Step-by-step explanation:
alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. how many calories are in one cookie?
Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.
A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.
Let x = calories in cookies.
y = calories in carrots.
Now, according to the question:
5x + 2y = 590 --------------------------------------- (1)
3x + 4y = 410 -------------------------------------- (2)
Multiplying equation(1) by 3 and equation(2) by 5:
15x + 6y = 1770 ---------------------------(3)
15x + 20y = 2050 ---------------------------(4)
Solving we get:
y = 280/14
or, y = 20 units.
Putting the value of y = 20 in equation (2)
3x + 4y = 410
⇒ 3x + 4 × 20 = 410
⇒ 3x = 410 - 80
⇒ x = 330/3
⇒ x = 110 Units
Therefore, the calories of cookies is 110 units .
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what decimal is equivalent to 8/11?
wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence
Answer:
36 ft^2
Step-by-step explanation:
Perimeter = 4 + 4 + 2 +2 = 12 feet
12 feet x 3 feet high = 36 ft^2
Factor completely x² - 8x + 16.
O(x + 4)(x + 4)
O(x-4)(x-4)
O(x + 4)(x-4)
O(x-2)(x-8)
Answer: The correct answer is (x+4) (x-4)
The explaining is down here:
\(x^{2} -8x+16\)
(\(x^{2} -4x) + ( -4x + 16)\)
x (x -4) -4 (x - 4)
(x - 4) (x - 4)
(x - 4\()^{2}\)
Step-by-step explanation:
how much intrest does a $775 investment earn at 1.47% over 8 years
\(\\ \sf\longmapsto I=\dfrac{PRT}{100}\)
\(\\ \sf\longmapsto I=\dfrac{775(1.47)(8)}{100}\)
\(\\ \sf\longmapsto I=\dfrac{9114}{100}\)
\(\\ \sf\longmapsto I=91.14\)
Answer:
91.14 $
Step-by-step explanation:
We know,
Interest = Principle× Rate of Interest× Time
or, 775× 1.47/100× 8
or, 91.14
Therefore, Interest is 91.14 $.
PLEASE HELP ME ASAP FOR BRAINLIEST
Answer:
First one: true Second one: true
Step-by-step explanation:
First Question: the lines will be parellel even though the shape grows or gets smaller
Second Question: the angle will stay the same even if it grows into a larger or smaller shape.
We expect the demand curve in the perfectly competitive industry to be Group of answer choices evenly divided horizontal directly sloped vertical negatively sloped
In a perfectly competitive industry, the demand curve is negatively sloped. so, the correct option is d) Negatively Sloped
In economics, the concept of demand curve plays a crucial role in understanding how prices and quantities of goods or services interact. In a perfectly competitive industry, where there are many buyers and sellers, each having negligible market power, the demand curve takes on a specific shape based on the behavior of buyers in the market.
The demand curve represents the relationship between the price of a product and the quantity demanded by consumers in a particular market. In a perfectly competitive industry, all firms produce identical goods or services, and buyers have access to perfect information. This means that buyers are fully aware of the prices charged by all sellers in the market.
a) Evenly divided: In a perfectly competitive market, the demand curve is not evenly divided. Each individual buyer's demand is a small fraction of the total market demand. However, when we consider the entire market, the demand curve takes on a specific shape.
b) Horizontal: The demand curve in a perfectly competitive industry is not horizontal. A horizontal demand curve would imply that buyers are willing to purchase an unlimited quantity of a good or service at a particular price. However, in reality, buyers have limitations on their purchasing power and preferences.
c) Directly sloped: The demand curve in a perfectly competitive industry is not directly sloped. A directly sloped demand curve would indicate a constant increase or decrease in quantity demanded as the price changes. However, this is not the case in a perfectly competitive industry.
d) Vertical: The demand curve in a perfectly competitive industry is not vertical. A vertical demand curve would imply that the quantity demanded remains constant, regardless of changes in price. In a perfectly competitive market, buyers are generally sensitive to changes in price, which affects the quantity demanded.
e) Negatively sloped: The most appropriate choice for the shape of the demand curve in a perfectly competitive industry is "negatively sloped." In a perfectly competitive market, the demand curve slopes downward from left to right. This means that as the price of a good or service increases, the quantity demanded by buyers decreases, and vice versa. This negative relationship between price and quantity demanded is a fundamental characteristic of the demand curve in a perfectly competitive market.
To summarize, in a perfectly competitive industry, the demand curve is negatively sloped. As the price increases, the quantity demanded by buyers decreases, and as the price decreases, the quantity demanded increases. This behavior reflects the underlying relationship between price and consumer demand in a competitive market.
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Complete Question:
We expect the demand curve in the perfectly competitive industry to be Group of answer choices
a) evenly divided
b) horizontal
c) directly sloped
d) vertical
e) negatively sloped.
A super sundae ice cream cone has a radius of 0. 5 in and a depth of 4 in. A wonderful waffle cone has a radius 0. 9 in and a depth of 3 in. Which cone holds more ice cream?
The wonderful waffle cone holds more ice cream than super sundae cone.
In this question,
The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.
Volume of ice cream cone = volume of hemisphere + volume of cone
Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)
Volume of super sundae cone:
Radius of hemisphere = height of hemisphere = 0.5 in
Depth of the ice cream cone = 4 in
Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)
⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)
⇒ 0.2616+1.0466
⇒ 1.3082 ≈ 1.31 cubic in.
Volume of wonderful waffle cone:
Radius of hemisphere = height of hemisphere = 0.9 in
Depth of the ice cream cone = 3 in
Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)
⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)
⇒ 1.526+2.5434
⇒ 4.0694 ≈ 4.07 cubic in.
Thus volume of wonderful waffle cone > volume of super sundae cone.
Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.
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Need HELP ASAP PLEASEEEEEEE
Answer:B
Step-by-step explanation:
Answer:
no noob
Step-by-step explanation:
You are looking at 1,000 square feet of space in a new building. The cost is $10 per square foot per year. What will the space cost you per MONTH
The space would cost at, $833.34 per month.
:: Total area = 1000 square feet
:: Cost per feet per year = $10
Therefore,
Total cost per year would be, equal to the product of total area and cost per unit area per year.
That is,
Total cost per year = 1000 x $10
That is, $10,000.
Now, we know, there are 12 months in an year.
So, cost per month is, ( total cost per year / 12 )
That is, therefore,
Cost per month = ($10,000 / 12)
Which equals to, $833.34 per month. (rounded off)
So,
The space cost at, $833.34 per month.
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The space cost you $833.33. per MONTH
To calculate the monthly cost, we first need to determine the annual cost of the space.
Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:
Annual cost = the space * cost
Annual cost = 1,000 square feet * $10/square foot = $10,000
To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):
Monthly cost = $10,000 / 12 = $833.33
Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.
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Please solve this, i will mark brainliest
Answer:
\(k=-2\)
Step-by-step explanation:
Let's write the left hand side as a negative power, and 9 as a power of 3:
\(3^-^k=3^2\) At this point, for the equality to still stand, the exponents have to be equal:
\(-k = 2 \rightarrow k=-2\)
find the value of z plz
or, 2z + 2z - 64° = 180°
or, 4z = 180° + 64°
or, 4z = 244°
or, z = 61°
Answer:The value of z is 61°.
Hope it helps.
Do comment if you have any query.
Consider the vectors: a=(1,1,2),b=(5,3,λ),c=(4,4,0),d=(2,4), and e=(4k,3k)
Part(a) [3 points] Find k such that the area of the parallelogram determined by d and e equals 10 Part(b) [4 points] Find the volume of the parallelepiped determined by vectors a,b and c. Part(c) [5 points] Find the vector component of a+c orthogonal to c.
The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.
We have,
d=(2,4)
and e=(4k,3k)
Then,
d×e= (2 * 3k) - (4 * 4k) = -10k
Area of parallelogram = |d×e|
= |-10k|
= 10
As we know, area of parallelogram can also be given as,
|d×e| = |d||e| sin θ
where, θ is the angle between the two vectors.
Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ
⇒ 10 = √20 √25k^2 sin θ
⇒ 10 = 10k sin θ
∴ k sin θ = 1
Therefore, sin θ = 1/k
Hence, the value of k is 1.
Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,
| a . (b × c)|
Here, a=(1,1,2),
b=(5,3,λ), and
c=(4,4,0)
Therefore,
b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k
= -4i + 4λj + 8k
Now,| a . (b × c)|=| (1,1,2) .
(-4,4λ,8) |=| (-4 + 4λ + 16) |
=| 12 + 4λ |
Therefore, the volume of the parallelepiped is 12 + 4λ.
Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].
Here, a=(1,1,2) and
c=(4,4,0).
Then, a + c = (1+4, 1+4, 2+0)
= (5, 5, 2)
Now, projecting (a+c) onto c, we get,
projc(a+c) = [(a+c).c / |c|^2] c
= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)
= (4,4,0.5)
Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)
= (1,1,1.5)
Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).
Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
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Which of the following would NOT be considered a financial asset?
F.furniture
G.owning a home
H. student loan
J. savings
What can be concluded if ∠EJS and ∠SJV form a linear pair?
Answer:
They are supplementary.
Step-by-step explanation:
A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary
1/9 - is rational or irrational number
Answer:
1/9 is a rational number because rational numbers are numbers that you can write as a fraction.
Answer: 1/3/3 is an inverse tetration 1/pi/(1/pi/pi) is approximately pi
Step-by-step explanation:
The monthly salary of Mrs Lawson is 7/5 of the monthly salary of mr.Lawson.
A) what is the ratio of mr Lawson monthly salary to Mrs Lawson monthly salary
B) if Mrs Lawson monthly salary is $100,000 more than mr Lawson monthly salary what is the total monthly salary of mr and mrs Lawson
If the monthly salary of Mrs Lawson is 7/5 of the monthly salary of mr.Lawson.
a. The ratio of Mr. Lawson's monthly salary to Mrs. Lawson's monthly salary is 5:7.
b. The total monthly salary of Mr. and Mrs. Lawson is $600,000.
How to find the monthly salary?A) Let's assume Mr. Lawson's monthly salary to be x. Then, according to the problem, Mrs. Lawson's monthly salary would be (7/5)x.
The ratio of Mr. Lawson's monthly salary to Mrs. Lawson's monthly salary can be written as x / (7/5)x. Simplifying this ratio, we get:
x / (7/5)x = 5/7
Therefore, the ratio of Mr. Lawson's monthly salary to Mrs. Lawson's monthly salary is 5:7.
B) We know that Mrs. Lawson's monthly salary is $100,000 more than Mr. Lawson's monthly salary. Using the information from part A, we can write:
Mrs. Lawson's monthly salary = (7/5)x
Mr. Lawson's monthly salary = x
Mrs. Lawson's monthly salary - Mr. Lawson's monthly salary = $100,000
Substituting the first two equations into the third equation, we get:
(7/5)x - x = $100,000
Simplifying this equation, we get:
(2/5)x = $100,000
x = (5/2) x $100,000
x = $250,000
Therefore, Mr. Lawson's monthly salary is $250,000 and Mrs. Lawson's monthly salary is (7/5) x $250,000 = $350,000. The total monthly salary of Mr. and Mrs. Lawson is $250,000 + $350,000 = $600,000.
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The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP
Answer:
\(length = \frac{25}{28} \)Step-by-step explanation:
Let the length of the rectangle be l
Area of a rectangle = length × width
From the question
Area = 25/42
width = 5/6
Substitute the values into the above formula and solve for the length
That's
\(length = \frac{area}{width} \)So we have
\(length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} \)We have the final answer as
\( \frac{25}{28} \)Hope this helps you