Answer:
1/6
Step-by-step explanation:
the form you're using is slope-intercept. That is
y=mx+b
where y= y coordinate
m=slope
x= x coordinate
and b= y intercept
so, m in that equation is 1/6, so the slope is 1/6
Hope this helps!
a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area
Answer:
2800
Step-by-step explanation:
solution:
here,
length=40 meter
Breadth=35 meter
height=2meter
area=?
we have,
A=l×b×h
=40×35×2
=2800 ans.
r + 4 > 8; r =2 is a solution
Answer:r>4
Step-by-step explanation: You just subtract four from both sides
You work at a hardware store earning $8. 50 per hour. You work no more than 40 hours each week. Your friend says that the function y = 8. 5x represents the amount of money you earn each week where the domain of x > 40 represents the number of possible hours you work. Is your friend correct? Explain
Answer:3.5
Step-by-step explanation:
28. for the following case, would the mean or the median probably be higher, or would they be about equal? explain.
To determine whether the mean or the median would be higher, or if they would be about equal, we need more specific information about the case or dataset in question.
The mean and median are statistical measures used to describe different aspects of a dataset.
Mean: The mean is the average value of a dataset and is calculated by summing all the values and dividing by the total number of values. The mean is sensitive to extreme values or outliers since it takes into account every value in the dataset.
Median: The median is the middle value in a sorted dataset. If the dataset has an odd number of values, the median is the middle value itself. If the dataset has an even number of values, the median is the average of the two middle values. The median is less affected by extreme values or outliers since it only depends on the order of values.
Without specific information about the dataset, it is difficult to determine whether the mean or the median would be higher or if they would be about equal. Different datasets can exhibit different characteristics, such as skewed distributions or symmetric distributions, which can influence the relationship between the mean and the median.
In general terms, if the dataset is symmetrical and does not contain extreme values, the mean and the median are likely to be about equal. However, if the dataset is skewed or contains extreme values, the mean may be influenced more by these outliers, potentially making it higher or lower than the median.
To provide a more accurate assessment, please provide additional details about the case or dataset under consideration.
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A quadratic function is a function of the form yar+bx+c where a, b, and care constants Given any 3 points in the plane, there is exactyone quadratic function whose graph contains these points Find the quadratic function whose graph contains the points (-4),(-1,2), and (0.4) Enter the equation below Function: y = 0
The quadratic function that passes through the points (-4),(-1,2), and (0.4) is y = x^2 + 3x + 4.
To find the quadratic function whose graph contains the points (-4, -1), (-1, 2), and (0, 4), we can substitute these points into the general form of a quadratic function, y = ax^2 + bx + c, and solve for the coefficients a, b, and c.
Substituting (-4, -1), (-1, 2), and (0, 4) into the equation, we get the following system of equations:
(-1) = 16a - 4b + c ...(1)
2 = a - b + c ...(2)
4 = c ...(3)
From equation (3), we find that c = 4. Substituting this value into equations (1) and (2), we can solve for a and b.
Using equation (1), we have:
(-1) = 16a - 4b + 4
16a - 4b = -5 ...(4)
Using equation (2), we have:
2 = a - b + 4
a - b = -2 ...(5)
Solving equations (4) and (5) simultaneously, we find that a = 1 and b = 3.
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solve for each please i really need help if u want to help me with my test and i get an a or a b i will give u 500 dollars
Answer:
The relation is not a function
The domain is {1, 2, 3}
The range is {3, 4, 5}
Step-by-step explanation:
A relation of a set of ordered pairs x and y is a function if
Every x has only one value of yx appears once in ordered pairsExamples:
The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)The domain is the set of values of xThe range is the set of values of yLet us solve the question
∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}
∵ x = 1 has y = 3
∵ x = 2 has y = 3
∵ x = 3 has y = 4
∵ x = 2 has y = 5
→ One x appears twice in the ordered pairs
∵ x = 2 has y = 3 and 5
∴ The relation is not a function because one x has two values of y
∵ The domain is the set of values of x
∴ The domain = {1, 2, 3}
∵ The range is the set of values of y
∴ The range = {3, 4, 5}
A weather report said there is a 60% chance of rain on Monday, and a
30% chance of rain on Tuesday. Based on the report, what is the chance
it will rain on both days?
-Select-
How do you calculate obtuse value?.
Calculating the obtuse angle or value of a triangle.
Finding obtuse angle value:
steps:
1) Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.
For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.
2) Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.
3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.
4) Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.
5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.
The obtuse angle value is obtained by inverse of cos:
cos^-1(-0.3125)
= 108.209 degrees.
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At what rate is the temperature decreasing?
Answer:
8 celcius
Step-by-step explanation:
The slope is -8 so it is decreasing by 8
Answer:
8
Step-by-step explanation:
Use two points: (0,40) and (1,32). 40-32=8.
a 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1150 rev/min, and drives a gear at a speed of 575 rev/min. find the number of teeth on the gear and the theoretical center-to-center distance.
No. of teeth on the pinion(TP)=17.
Diametral pitch(pd)=8 teeth/in.
Rotational speed of the pinion(NP)=1120 rev/min or 1120 rpm.
Rotational speed of the gear(NG)=544 rev/min or 544 rpm.
To calculate:
No. of teeth on gear(TG) & theoretical centre to centre distance(C).
Solution:
We know that;
Diametral pitch(pd)=No. of teeth in the gear/Diameter of the gear
For pinion,
pd=TP/DP
Pittiong the values in above eq.
8 teeth/in =17/DP =>DP=17/8 in.
or DP=2.125 in.
Gear ratio(G)=(NP/NG)=(TG/TP)=(DG/DP)
=>(NP/NG)=(TG/TP)
=>1120/544 =TG/17 =>TG=35
No. of teeth the gear(TG)=35 {Ans}
Also from gear ratio formula,
(NP/NG)=(DG/DP)
=>1120/544=DG/2.125
=>DG=4.375 in.
In the next fig. I have drawn a rough diagram of the pinion and gear arrangement which will help you to understand how to calculate the centre to centre distance(C)
centre to centre distance,C=rP+rG {Where rP and rG are the radii of pinion and gear respectively}
=>C=(DP+DG)/2
Diameter =2*radius}
=>C=(2.125+4.375)/2 in. =3.25 in.
Theoretical centre to centre distance (C)=3.25 in.
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five sevenths raised to the negative first power times eighteen hundredths raised to the second power.
Answer: 0.04536
Step-by-step explanation:
A rectangular pool is surrounded by a walk 4 feet wide. The pool is 6 feet longer than it is wide. The total area is 272 square. What are the dimensions of the pool
The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).
Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.
The total area of the pool and walk is given by:
Total area = (length + 2(4)) × (width + 2(4))
Total area = (x + 6 + 8) × (x + 4)
Total area = (x + 14) × (x + 4)
The area of the pool itself is given by:
Pool area = length × width
Pool area = x(x + 6)
Pool area = x² + 6x
We're told that the total area is 272 more than the area of the pool:
Total area = Pool area + 272
(x + 14) × (x + 4) = x² + 6x + 272
Expanding the left side of the equation:
x² + 18x + 56 = x² + 6x + 272
Simplifying the equation:
12x = 216
Solving for x:
x = 18
So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).
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Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?
Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence. Which is an equivalent representation?
Answer:
f(x + 1) = Five-halves f(x) (A)
Question:
The complete question as found in brainly( ID:13525864) is stated below.
Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.
Which is an equivalent representation?
f(x + 1) = Five-halvesf(x)
f(x) = Five-halvesf(x + 1)
f(x + 1) = Three-halvesf(x)
f(x) = Three-halvesf(x + 1)
Step-by-step explanation:
f(x) = (3/2)(5/2)^(x-1)
Where 3/2 = three-halves and 5/2 = (five-halves)
To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.
f(x) = (3/2)(5/2)^(x-1)
For x = 1
f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)
f(x) =(3/2)(1) = 3/2
For x = 2
f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)
f(x) =(3/2)(5/2)
So from the above assigned values
f(x=1) = 3/2
f(x=2) = f(x + 1) = f(1 + 1)
f(x + 1) = (3/2)(5/2)
Since f(x) = 3/2
f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)
From the options, an equivalent representation: f(x + 1) = Five-halves f(x)
(A)
Answer:
f(x + 1) = \(\frac{5}{2}\)f(x)
Step-by-step explanation:
Find the measures of the numbered angles in the rhombus.
Answer:
Step-by-step explanation:
Angle 1 is 90 - 34 = 46 deg.
angle 2 is 90 deg.
angle 3 is 34 deg.
angle 4 is also 46 deg.
Can someone Please help me find the area of the square I already know the perimeter.
Answer:
36
Step-by-step explanation:
6 x 6= 36
I need help with this problem .
Answer:
D because the BC is the radius line
MATHEMATICS
1. A man saw the top of a tower through an angle of elevation of 40 degree. He walked 42m on a straight line towards the tower. He again saw the top of the tower through an angle of elevation of 50 degree. What more distance has the man to walk to get to the base of the tower?
2. Five loaves of bread and three tins of sardines cost N350.00 while two loaves of bread with two tins of sardines cost N180.00. What is the cost of three loaves of bread and three tins of sardines?
3. P varies partly directly as Q and partly inversely as the square of R when P = 1, Q = 2 and R = 3. When P = 2, Q = 1, R = 5. Find Q when P = 3 and R = 4.
Answer:
Step-by-step explanation:
1.
In the diagram, "h" represents the height of the tower, "d" represents the original distance between the man and the tower before he walked 42m, and "x" represents the distance the man still has to walk to get to the base of the tower.Using trigonometry, we can write two equations based on the two angles of elevation:tan(40°) = h / (d + 42)tan(50°) = h / dWe want to solve for x, so we need to eliminate "h" from these equations. To do that, we can isolate "h" in each equation:h = (d + 42) tan(40°)h = d tan(50°)Now we can set these two expressions equal to each other:(d + 42) tan(40°) = d tan(50°)Simplifying and solving for "d", we get:d = 42 / (tan(50°) - tan(40°))Now that we know "d", we can find "x" by subtracting 42 from it:x = d - 42Plugging in the values and using a calculator, we get:d = 78.39x = 78.39 - 42 = 36.39Therefore, the man has to walk an additional 36.39 meters to get to the base of the tower.
p.s if you want the others seperate them, or find someone else.
Step-by-step explanation:
five loaves of bread ands three tins of sardines cost N350.00 while two loaves of bread with
two tins of sardine cost N180.00 what is the cost of three loaves of bread and three tins of sardine
Determine the critical value of χ^2 with 1 degree of freedom for α=0.025. Click the icon to view a table of critical values of χ^2 . The critical value of χ^2 is ___. (Round to three decimal places as needed.)
The critical value of χ² with 1 degree of freedom for α = 0.025 is given by χ² = 3.841.The critical value of χ² with 1 degree of freedom for α = 0.025 is 3.841.What is the chi-square distribution? The chi-square distribution, often known as a chi-squared distribution, is a continuous probability distribution that is often used in statistics.
A chi-squared distribution is the sum of the squares of independent standard normal random variables that have been standardized. In statistics, the chi-square distribution is frequently used to determine if a sample's variance is equal to the population's variance. This is often accomplished by determining the difference between the observed data and the theoretical data expected, and then squaring that value. That value is then divided by the expected value to obtain the chi-square value.
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gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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The sum of a number and its additive inverse is
Answer:
1+1=2 additive inverse 1/2
Step-by-step explanation:
hope it helps
what is the rate of change of y=9x+4
Answer:
The slop is 9 so that means the rate of change must be 9
Step-by-step explanation:
Mark me brainllest
2x-3=7
Please tell me what it equals
2x-3=7
The answer would be 5.
Answer:
x=5
Step-by-step explanation:
2x−3=7
Add 3 to both sides.
2x=7+3
Add 7 and 3 to get 10.
2x=10
Divide both sides by 2.
x=10/2
Divide 10 by 2 to get 5.
x=5
midpoint of line segment with endpoints (3.2,2.5) and (1.6,-4.5)
The midpoint of the line segment with the endpoints is (2.4, -1)
How to determine the midpoint of the line segment with the endpoints?The endpoints are given as:
(3.2,2.5) and (1.6,-4.5)
The midpoint of the line segment with the endpoints is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (3.2 + 1.6, 2.5 - 4.5)
Evaluate the sum
So, we have:
Midpoint = 0.5 * (4.8, -2)
Evaluate the products
So, we have:
Midpoint = (2.4, -1)
Hence, the midpoint of the line segment with the endpoints is (2.4, -1)
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An arithmetic sequence is given below.
14, 11, 8 , 5 , ...
Write an explicit formula for the n^th term a(n).
help me understand this plzz, no file just answer
Answer:
a(n)= a + (n - 1)d
a(n) = 17 - 3n
Step-by-step explanation:
14, 11, 8 , 5 , ...
The given sequence above is an Arithmetic sequence and the explicit formula is given as:
a(n) = a + (n - 1)d
Where
a = First term = 14
n = number of terms
d = common difference
The common difference =
Second term - First term or Third term - Second term
= 11 - 14 or 8 - 11 or 5 - 8
= -3
Therefore, the explicit formula for the nth term a(n) is written as:
a(n) = 14 + (n - 1)-3
a(n) = 14 -3n + 3
a(n) = 14 + 3 - 3n
a(n) = 17 - 3n
The explicit formula a(n) =
a(n) = 17 - 3n
Write the equations in cylindrical coordinates.
9x2 − 3x + 9y2 + z2 = 9
// I keep getting z^2=9-3r(3r-cos (theta))
The equation \(9x^2 − 3x + 9y^2 + z^2 = 9\) can be written in cylindrical coordinates as \(z^2\) = 9 - 3r(3r - cos(theta)).
to express the equation in cylindrical coordinates, we need to substitute the Cartesian variables (x, y, z) with their corresponding cylindrical variables (r, theta, z).
In cylindrical coordinates, the relationship between Cartesian and cylindrical variables is given by:
x = rcos(theta)
y = rsin(theta)
z = z
Substituting these expressions into the equation, we have:
\(9(rcos(theta))^2 -3(rcos(theta)) + 9(rsin(theta))^2 + z^2\) = 9
Simplifying the equation, we get:
\(9r^2cos^2(theta) - 3rcos(theta) + 9r^2sin^2(theta) + z^2\)= 9
Using the trigonometric identity \(cos^2(theta) + sin^2(theta)\) = 1, we can further simplify the equation to:
\(9r^2 + z^2 - 3rcos(theta)\) = 9
Finally, rearranging the terms, we obtain:
\(z^2 = 9 - 3r(3r - cos(theta))\)
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two sets are formed using 100 elements. there are 67 elements in one set and 72 in the other. how many elements are in the intersection of the two sets?
There are 39 elements in the intersection of the two sets.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Union: -
If set A and set B are two sets, then A union B is the set that contains all the elements of set A and set B. It is denoted as A ∪ B.
Example: Set A = {1,2,3} and B = {4,5,6}, then A union B is:
A ∪ B = {1,2,3,4,5,6}
Intersection:-
If set A and set B are two sets, then A intersection B is the set that contains only the common elements between set A and set B. It is denoted as A ∩ B.
Example: Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:
A ∩ B = { } or Ø
Since A and B do not have any elements in common, so their intersection will give null set.
P(AUB) = P(A) + P(B) - P(A∩B)
Here, P (A) = the number of elements in the set A and so on.
We know that:
P (A)= 67
P (B)= 72
and P (AUB) = 100
So, we can solve for the number in the intersection i.e. P(A∩B) = P(A) + P(B) - P(AUB)
P(A∩B) = 67 + 72 - 100
P(A∩B) = 139 - 100
P(A∩B) = 39.
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compare the graph of g(x) = x^2 + 6 with the graph of f(x)=x^2
If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6
What are quadratic graphsThese are graph with function of leading degree of 2. The parent function for a quadratic graph is x^2
f(x)= x^2
If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6
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round these amounts to the nearest whole dollar.3.87cedis.9.28 cedis.11.05 cedis.4.39cedis
Answer: 4.00, 9.00, 11.00, 4.00
Step-by-step explanation:
When we round, we round from the digit one smaller than the one we're rounding to. In this case, since we're rounding to the dollar, we round from the 10th place. To round, we need to know whether the number we're rounding from is smaller than, equal to, or larger than 5. If the number is smaller than 5, we round down. Larger, and we round up. If the number is equal to 5, we also round up.
If you invest $360.00 and your annual interest rate is $54, what is the interest rate
Answer: 15%
Step-by-step explanation:
54 divided by 360 = 0.15%
A driver works 40 hours a week for the first year on the
job. How much does the driver earn for the year? (Hint:
The driver earns $14 an hour for the first 4 weeks he
works. Then he earns $18 an hour.)
Step-by-step explanation
*( / means per)
Okay, so he works 40 hours/ week and works for a year. There are approximately 52 weeks in a year.
First 4 weeks he earns $14/ hour
Rest of the year he earns $18/ hour
First 4 weeks => 40 hours x $14 x 4 weeks = $2240
52 - 4 = 48 weeks after => 40 hours x $18 x 48 weeks = $34560
Total=> 2240 + 34560 = $36,800
The driver earns that total amount in a year.