is a linear function because It forms a straight line or represents the equation for the straight line
It has only one degree. Or we can also define it as an equation having the maximum degree 1.
All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form.
The general representation of linear equation is;
y = mx +c
Where x and y are the variables, m is the slope of the line and c is a constant value.
Find sine and cosine if angle C please
Answer: sin=7/13,cos=2.sqrt30/13
Step-by-step explanation:
SOH COH TOA
sin=opp/hyp,cos=adj/hyp
Use pyth. theorem to find the adjacent of C.
13^2 =7^ + b^2
169 = 49 + b^2
120 = b^2
sqrt120 = sqrtb
2.sqrt30 = b is the missing side.
In the formula =D1+C1/F3, which calculation will be performed first?a. C1/F3 b. D1+C1c. D1/F3 d. D1+F3
The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.
In the formula =D1+C1/F3, the calculation that will be performed first is: a. C1/F3. This is because, according to the order of operations (PEMDAS/BODMAS), division should be performed before addition.
1. Perform the division operation: C1/F3
2. Perform the addition operation: D1 + (result from step 1)
So, The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.
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Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 5, 10, 7, 2 Set 2: 5, 10, 7, 42 The MAD of set 1 is 10.5 more than the MAD of set 2. The MAD of set 1 is 2.5 more than the MAD of set 2. The MAD of set 1 is 10.5 less than the MAD of set 2. The MAD of set 1 is 2.5 less than the MAD of set 2.
Answer:
7,9,10
Step-by-step explanation:
Answer: The answer is C
The MAD of set 1 is 10.5 less than the MAD of set 2
Step-by-step explanation:
I took the test and got it right
Use inductive reasoning to predict the next number in the pattern: 832, 208, 52...
A.) 13
B.) -228
C.) -26
D.) 26
Answer:
A.) 13
Step-by-step explanation:
I took the test
22.
A map has a scale of 1 inch : 20 miles. If two
cities are 240 miles apart, how far apart are
they on the map?
NEED HELP FAST!!
Answer:
12
Step-by-step explanation:
1 inch = 20 miles
240 miles ÷ 20 miles =
12 inches
Answer:
12 inches
Step-by-step explanation:
Hey there!
Well to solve the given question we need to use fractions,
if 1 inch is 20 milles, we can set up the following.
\(\frac{1}{20} = \frac{x}{240}\)
Cross multiply
240 = 20x
Divide both sides by 20
x = 12
So it is 12 inches in the map.
Hope this helps :)
Write the equation of a line passing through the point (-4,5) with a slope of 1/2 in slope-intercept form
Answer:
\(use \: the \: slope \: - 2 \: and \: th e \: point \: \\ ( - 4and - 5)to \: find \: x - intercept \\ y = mx + b \\ - 5 = ( - 2 \times - 4) + b \\ - 5 = 8 + b \\ b = - 13 \\ write \: the \: equation \: of \: the \: slope \: intercept \: from \: as \\ y = ms + b \\ y = ( - 2)x - 13 \\ hence \: the \: equation \: of \: line \: is \\ y = - 2x - 13. \: answer\)
MARK ME AS A BRAINLIST PLZ
Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube
Plssss answer me fasttt
Answer:
h=8
Step-by-step explanation:
Fast fast!jjdbdbdjdjdbxjdj
A car is 200 km from its destination after 1 hour and 80 km from its destination after 3 hours.
The car's speed is 60 km/hour.
Let's denote the distance from the starting point to the destination by D, and let's denote the car's speed by S.
Using the formula speed = distance / time.
S = d / t = (D - 200) / 1 ---- (1)
S = d / t = (D - 80) / 3 ----- (2)
We can simplify equation (2) by multiplying both sides by 3:
Expanding the right-hand side:
3S = D - 80
From equation 1 and 2:
3 (D - 200) = D - 80
3D - 600 = D - 80
3D - D = 600 - 80
2D = 520
D = 260
Therefore, the distance from the starting point to the destination is 260 km.
Using equation (1), we can find the car's speed:
S = 260 - 200 / 1
S = 60 m/s
Therefore, the car's speed is 60 km/hour.
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The complete question is:
A car is 200km from its destination after 1 hour and 80km from its destination after 3 hours. At what rate is the car traveling per hour?
Identify the first term and common difference, then write
a recursive rule for each of the sequences below:
a) 1, -4,-9, -14,
b) 11, 23, 35, 47, ....
The values of the first term, the common difference and the recursive rule are of the sequences are;
a) first term = 1
Common difference = -5
Recursive rule = aₙ = a₍ₙ ₋ ₁₎ - 5
b) First term = 11
Common difference = 12
Recursive rule is; aₙ = a₍ₙ ₋ ₁₎ + 12
What are sequences and examples?
A sequence is an ordered list of numbers. Three dots mean to continue in the established pattern.Each number in the sequence is called a term. The order is 1, 3, 5, 7, 9, … where 1 is the first term, 3 is the second term, 5 is the third term, and so on.
a) The first term is 1
The common difference is; -4 - 1 = -9 - (-4) = -14 - (-9) = -5
The recursive rule is therefore; aₙ = a₍ₙ ₋ ₁₎ - 5
The first term, a₁ = 1
The common difference, d = -5
b) The first term is the term value that comes first in the sequence
The sequence in the question ndicates that the first term is 11
The common difference is the difference between a term and the term that comes before it, therefore;
The common difference is; 32 - 11 = 35 - 23 = 47 - 35 = 12
The recursive rule is the first a term is the sum of the previous term and the common difference, therefore;
The recursive rule is; aₙ = a₍ₙ ₋ ₁₎ + 12
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what is the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 endfraction
The solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.
To find the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 end fraction, we need to first simplify the equation. To do this, we need to find a common denominator for the two fractions.
The least common multiple of h and 5 is 5h, so we can rewrite the equation as:
startfraction 5h over h(5h) minus 25 over h(5h) endfraction
Now, we can combine the fractions by subtracting the numerators:
startfraction 5h - 25 over h(5h) endfraction
Simplifying further, we can factor out 5 from the numerator:
startfraction 5(h - 5) over h(5h) endfraction
Finally, we can cancel out the common factor of 5:
startfraction h - 5 over h^2 endfraction
Therefore, the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 end fraction is startfraction h - 5 over h^2 endfraction.
Hi! To solve the equation involving the given fractions 1/(h-5) and 2/h, let's follow these steps:
Write down the given equation.
(1/(h-5)) - (2/h) = 0
Find the least common denominator (LCD) of the fractions.
In this case, the LCD is h * (h-5).
Multiply each fraction by the LCD to eliminate the denominators.
[(1/(h-5)) * h * (h-5)] - [(2/h) * h * (h-5)] = 0 * h * (h-5)
Simplify the equation.
(h * 1) - (2 * (h-5)) = 0
Distribute the negative sign and solve for h.
h - 2h + 10 = 0
Combine like terms.
-h + 10 = 0
Add h to both sides of the equation.
10 = h
So, the solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.
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Consider the parabola y = 4x - x2. Find the slope of the tangent line to the parabola at the point (1, 3). Find an equation of the tangent line in part (a).
The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line. we must first calculate the derivative of the given equation.
We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).
We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.
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Find the variance for n = 170 and p = 0.7 when the conditions for the binomial distribution are met.
If the conditions for a binomial distribution are met, the variance, given the number of trials (n) and the probability of success(p) is given as:
\(\text{variance (}\sigma^2)\text{ = np(1-p)}\)Given:
n = 170
p = 0.7
Solution
By substituting the given values, the variance is:
\(\begin{gathered} \sigma^2\text{ = 170 }\times\text{ 0.7 }\times\text{ (1-0.7)} \\ =\text{ 35.7} \end{gathered}\)Answer: 35.7
Help with all of please I don’t understand but if you do all them it’s 15 points IF YOU DONT KnOW DONT ANSWER IT Please thanks have a nice day :)
Answer:
i dont know ether
Step-by-step explanation:
me do do it'
How are common multiples and denominators different and alike??
Common multiples and denominators are both concepts related to numbers, but they have different roles and purposes. Common multiples are used to find numbers that are multiples of two or more given numbers, while denominators specifically refer to the bottom number in a fraction.
Common multiples are numbers that are divisible by two or more given numbers. They are used to find numbers that are evenly divisible by a set of numbers. For example, the common multiples of 3 and 4 are 12, 24, 36, etc., as these numbers are divisible by both 3 and 4.
Denominators, on the other hand, are specific to fractions. In a fraction, the denominator represents the bottom number, indicating the total number of equal parts into which the whole is divided. It determines the size and proportion of each part of the fraction. For instance, in the fraction 3/5, the denominator is 5, indicating that the whole is divided into five equal parts.
While common multiples involve finding numbers divisible by given numbers, denominators are exclusively used in fractions to represent the number of equal parts in a whole. In this way, they serve different purposes. However, they are alike in the sense that they both deal with numbers and can be used in mathematical calculations and relationships.
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Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
Let p: it is raining
Let q: robert is laughing.
Assume p is true. select two statements that must logically be true.
A. p ∨ q
B. p ∧ q
C. q → p
D. p → q
E. q ↔ p
The two statements that are logically true as per the given data is q=>p and p ∧ q .
p = raining
q = Robert is laughing
q=>p this is because the entire proposition is logically true when the conclusion of the condition is true.
and
p ∧ q means that it is raining and Robert is laughing which is again logically true.
If two logical statements have the same truth value in all circumstances, they are said to be comparable. This fact can occasionally be used to demonstrate a mathematical result by switching out one expression for an equivalent one while maintaining the original compound proposition's truth value.
Propositional types based on Truth values
tautologycontradictioncontingency.To learn more about proportional equivalence
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When testing the differences between means, the _____ hypothesis suggests that population means are not equal.
Answer: Research
Step-by-step explanation:
Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.
What is the probability of producing less than 239,000 barrels? (Round your answer to 4 decimal places.)
The probability of producing less than 239,000 barrels is 0.8413.
The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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Leo reads 14 pages in 1/3 hourWhat is the unit rate for pages per hour
To determine the unit rate of pages, that is, the number of pages Leo reads in one hour you can use cross multiplication
1/3h _____14 pages
1h______x pages
\(\begin{gathered} \frac{14}{\frac{1}{3}}=\frac{x}{1} \\ 14\cdot3=x \\ x=42 \end{gathered}\)Leo reads 42pages/hour
I need help with ANGLES!!!!!!!!!
Answer:
joe mama tee hee
Step-by-step explanation:
Answer:
Look DB
Step-by-step explanation:
Since m1+m2=180 and m1=76, then m2=104
m2=m4, so m4 is also 104
m3=m1, so it is 76
Hope I helped!
Mario's Pizza just received two big orders from customers throwing parties. The first customer, Amelia, bought 10 regular pizzas and 1 deluxe pizza and paid $133. The second customer, Jaden, ordered 7 regular pizzas and 9 deluxe pizzas, paying a total of $284. What is the price of each pizza?
Answer:
The regular costs 11 dollars each while the deluxe cost 23 each.
Step-by-step explanation:
You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.
At a track meet, eight runners are running the 200 m dash. Assuming no ties, how
many ways can the first three finishers come in?
Answer:
6
Step-by-step explanation:
1. One comes first, two comes second, and three comes last.
2. one comes first, two comes last, and three comes second.
3. One comes second, Two comes first, and three comes last.
4. One come last, Two comes first, and three comes second.
5. One comes second, Two comes last, Three comes first.
6. One comes last, Two comes second, and Three comes first.
Your revenue (in dollars) for selling x bumper stickers is given by f(x)=4x and your profit is $10 less than 80% of the revenue. What is your profit for 50 sales?
From the calculation carried out below, it can be observed that the profit for 50 sales is $110.
How do we calculate profit for sales?
Given revenue as:
f(x) = 4x ............................ (1)
Where:
x = Number of bracelets sold or sales = 50
Total obtain the revenue, substitute x = 50 into equation (1), we have:
Revenue = f(50) = 4 *50
Revenue = $200
Since profit is $10 less than 80% of the revenue, we have:
Profit = (Revenue * 80%) - 10
Profit = (200 * 80%) - 50
Profit = 160 - 50
Profit = $110
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supply of houses is determined by two variables (I and R) in the following way: h(1,R) = a log1 + b R + CR log1, where a, b, and c are all constants. How does housing supply respond to changes in I (a) and R (OR)? an an Select one: an a. ar an a+cR an I and an = b + clog1 2 an ī and a b+cR log1 = b + cR log1 O b. a1 an a+cR an C. ai and an an d. ar an + CR log 1 and aR = b + c log1
The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.
Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))
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Everyone who lives in the Oak Vista apartment complex is required to pay $60 per month for cable television. For the residents of Oak Vista, cable television is a:
Cable television is a form of television programming that is delivered to subscribers through a coaxial or fiber-optic cable network. It typically offers a wide range of channels and programming options, including news, sports, movies, and TV shows.
For the residents of Oak Vista, cable television is a mandatory service that is included in their monthly rent or housing fees. This means that all residents are required to pay $60 per month for the cable TV service, regardless of whether they use it or not. This is known as a bundled service, where a single fee is charged for multiple services or products.
The reason for the mandatory cable TV service is likely due to the fact that the apartment complex has a contract with a cable TV provider, and the cost of the service is spread across all residents. Additionally, offering a bundled service can be a way for the complex to offer a lower overall price for cable TV, since the cost is spread across a larger group of people.
While some residents may not want or need cable TV, the mandatory fee means that they must pay for the service regardless. However, some complexes may offer alternative options or allow residents to opt-out of the service for a reduced fee.
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A research hypothesis proposes that consuming a low carbohydrate diet results in increased weight loss. One group of participants follows a low-carb diet for 3 weeks, whereas a second group follows a high-carb diet containing the same number of calories for 3 weeks. The average number of pounds lost for each group is then is compared. What is the dependent variable
In the given research scenario, the dependent variable is the average number of pounds lost.
The dependent variable is the variable that is being measured or observed in an experiment. It is the outcome or response variable that is expected to change as a result of manipulating the independent variable(s). In this case, the independent variable is the type of diet (low-carb or high-carb), and the dependent variable is the average number of pounds lost by the participants.
The researchers are comparing the average weight loss between the two groups: one following a low-carbohydrate diet and the other following a high-carbohydrate diet with the same number of calories. They are interested in determining whether the type of diet has an effect on weight loss. Hence, the dependent variable is the average number of pounds lost, as it is the variable that is expected to vary based on the diet type.
If you would like to represent the dependent variable using LaTeX code, you can use the following snippet:
\(\text{Dependent Variable: Average number of pounds lost}\)
I hope this explanation clarifies the concept of the dependent variable in the given research scenario. Let me know if you have any further questions.
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What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
A plane rises from take-off and flies at an angle of 14 with the horizontal runway. When it has gained 950 feet, find the distance, to the nearest foot, the plane has flown.
The distance, to the nearest foot, the plane has flown is 3926.887 feet.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians
The horizontal runway, the distance plane flied and the height gained forms a right angled triangle.
Let x be the distance plane flied.
Height gained = 950 feet
Angle that plane makes with the horizontal runway = 14°
Sin 14 = Opposite side / Hypotenuse
Sin 14 = 950 / x
x = 950 / sin 14
x = 3926.887 feet
Hence the distance plane flied is 3926.887 feet.
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Assad has $256 in his checking account. Which of the following will result in no net-change in
his balance?
a. A deposit of $200, and then a withdrawal of $56.
b. A withdrawal of $256.
C. A deposit of $256.
d. A withdrawal of $32, and then a deposit of $32.
D
Step-by-step explanation:
he took 32 out then put it right back in
Answer:
D
Step-by-step explanation:
when you add 32 you get 224 but then when you add 32 you get 256 back.