Answers:
R can be either 8, 9 or 10
============================================================
Explanation:
Let's exclude the R value for now.
The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.
Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.
If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.
So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}
------------------------------
If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.
Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.
If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.
So we've ruled out the cases that R = 5, R = 6 and R = 7.
If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.
-------------------------------
Now let's consider the possibility that 8 < R < 11.
If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.
The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.
-------------------------------
In short, R can be any of the following values: 8, 9, 10
if 10 litres of petrol can cost 650 calculate the cost of 15 Litres and 25 litres
Answer:
15 liters = 975
25 liters = 1625
Step-by-step explanation:
10 liters = 650
1 liter = 650/10 = 65
15 liters = 65 x 15 = 975
25 liters = 15 liters + 10 liters = 975 + 650 = 1625
-Chetan K
I neeed help I’ll give brainlist plzzz asap
Answer: 2nd, 4th, and 5th options
Step-by-step explanation:
The x-intercept is where the graph meets the x axis line and is also known as being the roots/zeros of an expression. hope this helps
How to find integral of absolute value.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)2
A. 4x2 - 7x+ 13 = 0
B. 4x2 - 9 x 13 = 0
C. 4x2 - 7x- 5 = 0
D. 4x2 - 9x-5= 0
SUBMIT
Answer: D. 4x2-9x-5=0
Step-by-step explanation:
Laura has $96 to divide between her 3 friends. How much money does each friend get?
Answer: EACH FRIEND GETS 32 DOLLARS
Step-by-step explanation:
DIVIDE 96 BY 3
Answer:
$32
Step-by-step explanation:
Divide 96 to 3
96 ÷ 3
= $32
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
what is 24x + 4 = 52
Answer:
x=2
Step-by-step explanation:
24x=48, x=2 (subtract 4 from both sides)
Answer:
[tex]\bf 24x+4=52[/tex]
[tex]\bf 24x+4-4=52-4[/tex]
[tex]\bf 24x=48[/tex]
[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]
[tex]\boxed{\bf x=2}[/tex]
⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰
3. Mr. Tipplat can grade 4 papers in 3 minutes. How long wil it take him to grade 22 papere?
Answer: Find the formula and there you go
Step-by-step explanation: Each 4 papers = 3 minutes keep adding it until I get near twenty one and don't go over
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answer:
One Solution
x = -9/2
Step-by-step explanation:
Who many can fill it ?
Answer:
6×3×4= 72 unit cubes
................................
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answer:
The slope of the line is [tex]\frac{9}{2}[/tex] (nine over two)
Step-by-step explanation
Have a nice day
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
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5.
Bread
Cost ($)
Weight (oz)
16
Whole wheat
2.24
Pita
20
3.60
7-grain
16
2.56
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are th
38
Help me
Answer:
search on chrome 4 mor answer mwa mwa
Step-by-step explanation:
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
Factorize the following Equation and show your work
x^{2} - 10x +25
Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.
Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
Please help me ASAP I don’t understand sigh
Answer:
x = -2, y = -6
Step-by-step explanation:
(8x - 3y) + (-8x - 5y) = 2 + 46
-8y = 48
y = -6
8x - 3y = 2
8x - 3(6) = 2
8x + 18 = 2
8x = -16
x = -2
Answer:
[tex]\boxed { \sf (-2, -6) }}[/tex]
Step-by-step explanation:
We are asked to find the solution of the system of equations.
[tex]8x-3y=2\\-8x-5y=46[/tex]
When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.
The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.
[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]
8x and -8x cancel, then add.
[tex](-3y=2)\\+ (-5y=46)[/tex]
___________
[tex]-8y= 48[/tex]
We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.
[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]
Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.
I chose the first equation.
[tex]8x-3y=2[/tex]
[tex]8x-3(-6)=2[/tex]
[tex]8x+18=2[/tex]
Subtract 18 from both sides to isolate 8x.
[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]
Divide both sides by 8.
[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]
Coordinate points are written as (x,y) so our solution is (-2, -6)
What is an equation of the line perpendicular to
y=1/5x+2 that contains (15,-4)
Answer:
y + 4 = -5(x - 15)
Step-by-step explanation:
The given line has a slope of 1/5. Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5: -5.
Use the point-slope equation of a line: y - k = m(x - h), where (h, k) is the point through which the new line passes. Here h = 15 and k = -4, so we have:
y + 4 = -5(x - 15)
This line is perpendicular to the given line and also passes through (15, -4).
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
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Write the explicit formula for
-1,-3,-9,-27,-81...
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
A man Buy television set at a price exclusive of sales tax for $2124 if sales tax of 12% is changed how much money does the man pay
Answer:
2378.88
Step-by-step explanation:
12/100 x 2124
=254.88
2124+254.88=answer
The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.
Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
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Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
How much farther did Molly walk than her brother and sister combined?
O 0.38 miles
1.37 miles
O 2.22 miles
O 5.53 miles
Answer:
1.37 miles
Step-by-step explanation:
First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.
How to find left and right inverse of a 3x2 matrix.
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
[tex]LA=I[/tex]
[tex](LA)A^\top = IA^\top[/tex]
[tex]L\left(AA^\top\right) = A^\top[/tex]
[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.
[tex]AR=I[/tex]
[tex]A^\top(AR)=A^\top I[/tex]
[tex]\left(A^\top A\right)R = A^\top[/tex]
[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation:
find the length of segment AB
Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $334 million in ticket sales. If Singer B took in $26 million less than Singer A, how much did each tour generate?
Pls help ::::………..
——-////
Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
