Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
A group of 9 students has these numbers of children in their families:
3, 2, 4, 2, 1, 5, 1 ,3 ,7
_________________________________
Answers:Median=3
Mean=3.12
Step by step explanation:
1. Arranging the data in ascending order:
=1,1,2,2,3,3,4,5,7
N(total number of items)=9
Now,
Median= (N+1/2) th item
=(9+1/2)th item
=(10/2) th item
=5 th item.
Median= 3
------------------------------------------------------------
2. Given data: 3,2,4,2,1,5,1,3,7
Summation FX= 28
N(total number of items)=9
Now,
Mean= summation FX/N
= 28/9
=3.12
Mean =3.12
Hope it helps....Good luck on your assignment
_______________________________
Step-by-step explanation:
median (need to be arranged first):
1,1,2,2,3,3,4,5,7 (9 numbers)
median=9+1/2
=5 (5th)
=3
mean=x/n
=(1+1+2+2+3+3+4+5+7)/9
=28/9
=3.111
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
Answer:
It's B
explanation
A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is
Answer:
y = 4x - 18
Step-by-step explanation:
Write out y = mx + b.
The slope of the line in question is 4. Thus we have y = 4x + b.
Finally, substitute -6 for y, 3 for x and solve for b:
-6 = 4(3) + b, or -6 = 12 + b. Then b = -18, and the equation of this line is
y = 4x - 18
Answer:
18
Step-by-step explanation:
y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.
What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!
Answer:
[tex]802[/tex]
Step-by-step explanation:
[tex]18^3=5832[/tex]
[tex]19^3=6859[/tex]
[tex]2018+2019+2020=6057[/tex]
[tex]6859-6057=802[/tex]
Check.
[tex]6057+802=6859[/tex]
[tex]\sqrt[3]{6859} =19[/tex]
Answer:
2019.
Step-by-step explanation:
Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.
x(x + 1)(x + 2)
= x(x^2 + 3x + 2)
= x^3 + 3x^2 + 2x ................(A)
Now the perfect cube of x + 1 is:
(x + 1)^3 = x^3 + 3x^2 + 3x + 1
If we add x + 1 to (A) we get this expression so the answer is x + 1
= 2019.
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
In this problem, we have a pair of like terms in our x terms.
3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.
______________________________
Hey!!
3x and -2x are the like terms.
Explanation:
To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.
Hope it helps
Good luck on your assignment
_____________________________
please could you help me with these questions! they would be quick
Answer:
Where are the questions....?
Answer:
Hey!
Well there aren't any question up here!!
Step-by-step explanation:
Maybe put another one!
Hope this helps!
Find the volume of the pyramid. HELP
Answer:
187.5 in^3
Brainliest plzStep-by-step explanation:
V=(lwh )/3
7.5 x 5 x 5= 187.5
Answer:
62.5 inches squared
Step-by-step explanation:
To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.
Length = 5
Width = 5
Height = 7.5
1. 5 times 5 times 7.5 = 187.5
2. 187.5/3 = 62.5
3. The answer is 62.5 inches squared
plz can someone help me with this plzz
Answer:
p: 42
a: 82.16
Step-by-step explanation:
For perimeter, add all the sides together
For area, multiple the longer side by the shorter side
Order these numbers from least to greatest.
1.4, 1.103, 1.1322, 1.13
Answer:
1.103,1.13,1.1322,1.4
Step-by-step explanation:
find the decimal places and u can figure out with they are greater than this decimal or less
Answer:
1.103, 1.13, 1.1322, 1.4
Step-by-step explanation:
hope that helped:D
Please answer asap for brainliest!!!!!
Answer:
x= 50
Step-by-step explanation:
The unknown angle is also x since we have an isosceles triangle and the bases angle are the same
The sum of the angles of a triangle are 180 degrees
x+x+80 =180
2x+80 = 180
Subtract 80 from each side
2x= 180-80
2x= 100
Divide by 2
2x/2 =100/2
x= 50
Answer:
[tex]x=50[/tex]°
Step-by-step explanation:
This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:
(180°-80°)÷2=x°
100°÷2=x°
50°=x°
x°=50°
A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .
Answer:
2.5 sec
Step-by-step explanation:
Height of wall = 2.5 m
initial speed of ball = 14 m/s
height from which ball is kicked = 0.4 m
we calculate the speed of the ball at the height that matches the wall first
height that matches wall = 2.5 - 0.4 = 2.1 m
using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)
[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)
[tex]V^{2}[/tex] = 196 - 41.202
[tex]V^{2}[/tex] = 154.8
v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s
this is the velocity of the ball at exactly the point where the wall ends.
At the maximum height, the speed of the ball becomes zero
therefore,
u = 12.44 m/s
v = 0 m/s
a = -9.81 m/s^2
t = ?
using V = U + at
0 = 12.44 - 9.81t
-12.44 = -9.81
t = -12.44/-9.81
t = 1.27 s
the maximum height the ball reaches will be gotten with
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
a = -9.81 m/s^2
0 = [tex]14^{2}[/tex] + 2(-9.81s)
0 = 196 - 19.62s
s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.
height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m
we calculate for the time taken for the ball to travel down this height
a = 9.81 m/s^2 (positive in downwards movement)
u = 0
s = 7.49 m
using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
7.49 = (0 x t) + [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )
7.49 = 0 + 4.9[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 7.49/4.9 = 1.53
t = [tex]\sqrt{1.53}[/tex] = 1.23 sec
Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec
what is the radius of circle O
Answer:
8.5 units
Step-by-step explanation:
first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.
15² + 8² = c²
225 + 64 = c²
289 = c²
17 = c
so now we know that the length of the diameter is 17 units, so the radius would be half of that.
17 ÷ 2 = 8.5
so the radius is 8.5
The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
A circle which has diameter AOB,
Two chords are, AC & BC their lengths are respectively, 15 and 8 units
According to theorem of circle,
Angle made by end-points of diameter at any point on a circle is 90
Pythagoras theorem can be used here,
AB² = AC² + BC²
AB² = 12² + 5²
AB² = 169
AB = 13
Radius = AB/2
= 13/2
Hence, the radius is 13/2 units
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Can I have the answer to this?
Answer:
∛2 can be written as [tex]2^\frac{1}{3}[/tex]. The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.
Answer:
2 1/3 is the answer
Step-by-step explanation:
Good Luck On Your Assignment- JoshuaAmachee365BanB Rip. My 3 accounts ;(If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen
Answer: 60
Step-by-step explanation:
Cost of 1 cup = 80
Actual cost of 6 cups = 80 x 6 = 480
1/2 dozen cups were bought for 420
Discount 480 - 420 = 60
Which function has a constant additive rate of change of -1/4?
4
1y
4
y
y
2
2
20
-1
-12
7
21
-1.5
-11
11
2
4
- 2
-2
-4-2
-2
22
-2
-10
14
23
-2.5
-9
17
Intro
Done
Answer:
4,20,11,2,1y
Step-by-step explanation:
The first graph has a constant additive rate of change of -1/4.
First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.
Therefore, the first graph shows a ratio of change of -1/4.
Learn more about function click;
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Q, A fruit seller buys 10 apples for Rs. 45 each from wholesale market .He packs them in a fruit basket for 40 and sells them each for 20 bakets Rs. 600 .Is it loss or gain
Answer:
It is a gain.
Step-by-step explanation:
CLEAR STATEMENT:
Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.
This implies her buys them for 10 × 45Rs = 450Rs.
UNCLEAR STATEMENT:
He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.
ASSUMING:
What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.
Subtracting his expenses from this value, we have
600Rs - 450Rs - 40Rs = 110Rs
Since this amount is positive, we conclude that it is a gain of 110Rs.
Could someone help me please
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
will mark brainliest, need help.
Answer:
(0, -4)
Step-by-step explanation:
The lines intersect at 0, -4. That is also the solution.
Answer:
D
Step-by-step explanation:
The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!
Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushups until he is doing a total of 303030 pushups each day. Which equation can we use to determine xxx, the number of days that it will take Keenan to reach his goal? Choose 1 answer: Choose 1 answer:
Answer:
222x + 888 = 303030
Step-by-step explanation:
If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.
Hope this helps!
Answer:
8+2x=30
Step-by-step explanation:
did it on khan its correct
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
at the top of the high slope in the top right sqaure and in the middle of the bottom slope in the bottom left
Step-by-step explanation:
Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?
Answer:
£ 35
Step-by-step explanation:
Ratio = 6 : 1
Gordon's share = 6x
Malachy's share = x
6x - x = 25
5x = 25
x = 25/5
x = 5
Gordon's share = 6x = 6*5 = 30
Malachy's share = x = 5
Total money they get = 30 + 5 = £35
Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)
113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2
Steps:
Shape: Sphere
Solved for volume
Radius: 3
Formula: V=4 /3πr3
1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.
Answer: 113.0
Please mark brainliest
Hope this helps.
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
Which regression equation best fits these data?
[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent
Answer:
a = 3.45b = 6.67%Step-by-step explanation:
Initial prediction of sales = 45 automobile
Actual amount sold = 48 automobiles
Absolute error ratio a = actual amount sold - initial prediction/initial prediction
Absolute error ratio a = 48-45/45
Absolute error ratio a = 3/45
%error = actual amount sold - initial prediction/initial prediction * 100%
% absolute error = 48-45/45 * 100
% absolute error = 3/45 * 100
% absolute error b = 6.67%
Answer:
a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent
Step-by-step explanation:
Your Welcome;)
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre
Answer:
Slope of this line is given by:
Aaron’s rate for mowing lawns is 0.5 acres per hour
Step-by-step explanation:
It is given that time is tracked by Aaron related to x coordinate.
and the area of land mowed in acres is related to y coordinate.
Two of his points are given as:
(3, 1.5) and (5,2.5)
We know that the coordinates are represented in the form of (x,y)
i.e. first coordinate represents x coordinate and
second coordinate represents y coordinate.
So, it can be observed that:
[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]
Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]
i.e. total time taken is 2 hours.
Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]
i.e. total land mowed taken is 1 acre.
In other words, it takes 2 hours for Aaron to mow 1 acre of land.
So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.
Rate of mowing lawn is the land mowed by Aaron in 1 hour.
Land mowed in 2 hours = 1 acre
Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre
Also, slope of a line is given as:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex]y_2 - y_1 = 1[/tex]
[tex]x_2 - x_1 = 2[/tex]
As per formula:
[tex]m = \dfrac{1}{2} = 0.5[/tex]
So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.
Using the slope concept, it is found that the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
---------------------------
A linear function has the following format:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.---------------------------
In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]
Thus, the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
A similar problem is given at https://brainly.com/question/17460142
A 74-inch rake is leaning against a wall. The top of the rake hits the wall 70 inches above the ground. How far is the bottom of the rake from the base of the wall?
Answer:24
Step-by-step explanation:
By Pythagoras
a^2=b^2 +c^2
74^2-70^2=c^2
C=√576
C=24
Here's the question. Please awnser ASAP
Answer:
the answer is A because the pair of ratios are equivalent.
People pay to visit a stately home [tickets age 16 and over : £18.60 ..under 16:£12.80] 155 people pay and 49 of these people are under 16. How much money is collected
Answer: £2598.80
Step-by-step explanation:
Let those under 16 be x
Those over 16 be y
49 + y = 155
y = 155-49
y = 106 = over 16
for over 16, y * 18.60
= 106 * 18.60 = 1971.60
For under 16, x * 12.80
= 49 * 12.80 = 627.20
A town's population is 33.950. About 100 people move out of the town cach month. Each month, 125 people on average move into town. A nearby
town has a population of 35,700. It has no one moving in and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Pick the correct equation to model the situation. Then solve the equation and answer the question,
A. 125m-100m+35,700-33,950-150m
B. 125m-100m+33,950-35,700-150m
C. 125m+100m+35,700-33,950+150m
D. 125m+100m+33,950-35,700+150m
The correct equation is choice letter
months
The towns will have equal populations in about
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
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