If the median of 6 consecutive integers is 9, the largest number is equal to 8.5.
Given the following data:
Median, M = 9.Number of consecutive integers, n = 6.What is a median?In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.
In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.
For the largest number, we have:
Since consecutive integers must follow each other sequentially with a difference of 1, so the largest number is given by:
Largest number = Median + (n - 1)/2
Substituting the given parameters into the formula, we have;
Largest number = 6 + (6 - 1)/2
Largest number = 6 + (5)/2
Largest number = 6 + 2.5
Largest number = 8.5.
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How to solve the inequality -20 ≤5a-10 <25
Answer:
-4[tex]\leq[/tex]a<7
Step-by-step explanation:
-20[tex]\leq[/tex]5a -10<25 add 10
+10 +10 +10
-20 [tex]\leq[/tex]5a<35 Divide all the way through by 5
-4[tex]\leq[/tex]a<7
what type of solution is y=5x+4+5x-2
The type of solution to the given simultaneous equations is no solution
What is the solution to the simultaneous equations?When it comes to linear simultaneous equations as given in the question, there are different types such as; one solution, no solution or infinitely many solution.
We are given the simultaneous equations;
y = 5x + 4 ---(1)
y = 5x - 2 ----(2)
Using elimination method, subtract eq 1 from eq 2 to get;
0 = -2 - 4
0 = -6
0 cannot be equal to -6 and as such there is no value of x that makes the simultaneous equations true. Thus, the type of solution to the given simultaneous equations is no solution
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sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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Do number 8 please thank you
Answer:
a) true
b) false
c) false
Step-by-step explanation:
Here are these 4 sets in order of including more numbers to including fewer numbers.
R = all real numbers
Z = all integers
W = all whole numbers
N = all natural numbers
a) true
b) false
c) false
What is the slope of the line that passes through the points (−4,−6) and (1,−6)?
Write an equation in point-slope form
I NEED HELP ASAP
[tex]\huge\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]
Given a point and a slope, we want to write an equation in point-slope form.
The point-slope form is defined as:
[tex]y-y_1=m(x-x_1)[/tex]
In this equation, [tex](x_1, y_1)[/tex] is a known point on the line and [tex]m[/tex] is the line's slope.
Substitute in the values:
[tex]y-(-2)=-\dfrac{4}{3}(x-3)[/tex]
Finally, simplify. Subtracting a negative number is the same as adding a positive number:
[tex]\large\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]
Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4
Sophie borrowed some money from her friend in order to help buy a new video game system. Sophie agreed to pay back her friend $2 per week and originally borrowed $10. Make a table of values and then write an equation for L,L, in terms of t,t, representing the amount Sophie owes her friend after tt weeks.
what is the equation and the 1 2 3 4
The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10
How to write an equation in Slope Intercept Form?
The general formula for equation of a line in Slope Intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the given question, the table of values is;
Number of weeks Amount of money owed
0 10
1 8
2 6
3 4
Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;
Slope = 2
y-intercept = 10
Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;
L = 2t + 10
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The area of a square garden is 9 m2 . how long is each side of the garden
Answer:
A=9cm square
or,l square=9 cm square
or,l=3 cm.
Consider a cube with an inscribed sphere. The function can be used to find the radius, r, of a sphere given the volume, v. The function can be used to find the side length of the cube, s, depending on the radius of the sphere. The function can be used to find the surface area, a, of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?
The composed function for the surface area of the cube for any given volume of an inscribed sphere, A(V) = 24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex])²
The function used to find the radius r of a sphere given volume V,
r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex]
The function used to find the length of the side s of the cube depending on the radius r of the sphere, s(r) = 2r
The function used to find the surface area A of the cube depending on the side of the cube s, A(s) = 6s²
We need to find the composed function for the surface area A of the cube for any given volume V of an inscribed sphere. i.e., A(V)
We have, A(s) = 6s²
Substituting function for s to A(s)
⇒ A(s(r)) = 6(2r)² = 24r²
Substituting function for r into A(s(r)),
⇒ A(s(r(V))) = 24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex])²
So the function for the surface area of the cube depending on the volume of the inscribed sphere, A(V) = 24( [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex])²
The question is incomplete. Find the complete question below:
Consider a cube with an inscribed sphere. The function r(V) = [tex]\sqrt[3]{\frac{3V}{4\pi} }[/tex] can be used to find the radius, r, of a sphere given the volume, V . The function s(r) = 2r can be used to find the side length of the cube, s , depending on the radius of the sphere. The function A(s) = 6s² can be used to find the surface area, A , of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?
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Answer:
Answer is D
Step-by-step explanation:
What is the answer to this problem?
Answer:
8
Step-by-step explanation:
Given: x=2
Then,
5x-2 = 5(2)-2
= 10-2
=8
Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.
Answer: 2a-2ab+7
Step-by-step explanation:
6a-5ab+8-(4a-3ab+1)=
6a-5ab+8-4a+3ab-1=
2a-2ab+7
Answer:
2a - 2ab - 9b + 7
Step-by-step explanation:
The step here is to collect the like terms available like this;
6a - 5ab - 9b + 8
- 4a - 3ab - 0 + 1
which is = 2a - 2ab - 9b + 7
Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?
Answer:
8 tacos
Step-by-step explanation:
40 tacos to 15 students
8 tacos to 3 students
15/3 =5, so divide 40 by 5 to get 8
Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.
The sample space for the given experiment is
{ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
What is Sample Space?A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.
The die consists of 3 different colors namely red, green and blue
Here, the number of variables is 3 i.e red, green and blue.
The subset will contain
= [tex]2^{3}[/tex]
=8 elements.
The red color is indicated by 'r'
The green color is indicated by 'g'
The blue color is indicated by 'b'
The events that can appear in a single roll is r, b or g.
Sample space for the next 2 rolls
={ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
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Please answer the two question in the photo [ Brainliest + points ]
Answer:
i think there both obtuse
The angle below measures
__ degrees.
A private jet flies the same distance in 7 hours that a commercial jet flies in 5 hours. If the speed of the commercial jet was 99 mph less than 2 times the speed of the
private jet, find the speed of each jet.
Answer
Answer:
Private jet - 165 mphCommercial jet - 231 mphStep-by-step explanation:
Let the speed of the private jet is p and commercial jet is c.
Set equations7p = 5cc = 2p - 99Solve by substitution7p = 5(2p - 99)7p = 10p - 49510p - 7p = 4953p = 495p = 495/3p = 165Find c:
c = 2*165 - 99 = 330 - 99 = 231The coordinates of the point
of the way from A to B are____
The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).
How to find the coordinates of a point within a line segment
In this problem we find a line segment whose endpoints are known: A(x, y) = (- 3, - 6), B(x, y) = (10, 4), and of which we need to find a point C such that it is 3 / 10 of the way from point A to point B, whose exact location can be found by means of the line segment formula:
C(x, y) = A(x, y) + (3 / 10) · [B(x, y) - A(x, y)]
C(x, y) = (- 3, - 6) + (3 / 10) · [(10, 4) - (- 3, - 6)]
C(x, y) = (- 3, - 6) + (3 / 10) · (13, 10)
C(x, y) = (- 3, - 6) + (3.9, 3)
C(x, y) = (0.9, - 3)
The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).
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Find f(4)
if f(x) = -2x² + 4
====================================================
Work Shown:
[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]
Explanation:
Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.
in exercises 13–17, the position d of a bicyclist (measured in kilometers) is a linear function of time t (measured in minutes). at time t
The position of the bicyclist at t=8 minutes is 3.2 km
Speed is the rate of change of position of an object in any direction.
position the way in which something or someone is placed or arranged.
when time t = 6 position d = 5
when time t = 5 position d = 2
when time t = 8 position d = x
therefore we can say
8 / x = 5 / 2
x = 8 * 2 /5
= 3.2 km.
Hence the position of the bicyclist at t=8 minutes is 3.2 km.
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complete question:
The position "d" of a bicyclist (measured in kilometers) is a linear function of time "t" (measured in minutes). At time t=6 minutes, the position is d=5 km. If the bicyclists travels at 2 km for every 5 minutes, find the position of the bicyclist at t=8 minutes.
20 points can someone lmk the answer ty
Answer:
a c e
Step-by-step explanation:
find the equivalent fractionsss with large denominatorsss
Answer:
12
Step-by-step explanation:
[tex] \frac{3}{8} = \frac{?}{32} [/tex]
8*4=32
3*4=12
Please help!! Graph the image of the trapezoid
below using a scale factor of
k= 1/4
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
Reduction and enlargement of figures using scale factors.A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.
The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
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What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1
.
...........................
Please find the slope
I need help asap!! (Geometry)
Answer:
Below
Step-by-step explanation:
Flower bed A
C = 2πr
C = 2π(5)
C = 2(5)π
C= 10π
A= πr²
A= π(5)²
A= π25
A= 25π
____________________________________________________
Flower bed B
C = 2πr
C = 2π(6)
C = 2(6)π
C = 12π
A = πr²
A = π(6)²
A = π36
A = 36π
Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!
how many significant digits are there in the number 2.25x10 using significant digits
Answer:
3
Step-by-step explanation:
2.25×10=22.5
If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.
solve -15.4+25.2+(-10.4)=
Answer:The answer is -0.6
Step-by-step explanation: -15.4-10.4 is -25.8
-25.8+25.2 is -0.6
So therefore the answer is -0.6