Answer:
729
Step-by-step explanation:
Here is a list of Numbers:
8 7 12 7 11 10 7 12
Find:
a) median
b) range
c) mode
The median, mode and range of the numbers are 9, 5 and 7 respectively.
How to find median, range and mode?
The median is the middle number when the data is arranged in ascending order.
Therefore,
7, 7, 7, 8, 10, 11, 12, 12
median = 8 + 10 / 2 = 18 / 2 = 9
median = 9
The range is the largest number minus the smallest number.
Therefore,
range = 12 - 7 = 5
range = 5
The mode is the number that appears most. Therefore,
mode = 7
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HELP PLS I'LL MARK U BRAINLISTT
Answer:
KM = 7
LM = 7
KL = 11
Step-by-step explanation:
Isosceles triangles have 2 congruent sides (in this case they are KM and LM
This means 4d-13 = 12-d
We can now solve for d
4d-13 = 12-d | add d to both sides
5d-13 = 12 | add 13 to both sides
5d = 25 | divide both sides by 5
d = 5
Now we can solve for the 3 sides of triangle KLM
KM = 7
LM = 7
KL = 11
That is your answer
- Kan Academy Advance
WILL GIVE 100 POINTS TO WHO ANSWERS THESE!!! Questions in Pictures.
Polynomials and Factoring
Assuming that you want the product of the two factors given in each problem:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
Let's solve:
Question 9:[tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]
Question 12[tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]
Question 15[tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]
Question 18[tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]
Question 21:[tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]
Question 24:[tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]
Hope that helps!
6) What will be the new position of the given
point (0, 6) after translation of 6 units down
and 3 units right?
a) (6, 3)
b) (3, 0)
c) (-6, 3)
d) (-3,0)
Please help omg
What is the equation?
There is no answer? So how am I supposed to answer it?
Answer:
Yeah How am I supposed to answer it?
Step-by-step explanation:
21. The solution(s) is/are b =
Please help me solve this
Answer:
b = -4, 0
Step-by-step explanation:
Given :
b² + 4b = 0Take b as a common factor.
b(b + 4) = 0Solutions
b = 0b + 4 = 0 ⇒ b = -4b = -4, 0Answer:
b = - 4, b = 0
Step-by-step explanation:
b² + 4b = 0 ← factor out b from each term
b(b + 4) = 0
equate each factor to zero and solve for b
b = 0
b + 4 = 0 ⇒ b = - 4
What is the equation of a line that has an x-intercept of 5 and a slope of 4?
Answer:
y=4x-20
Explanation:
Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.
Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20
X | Y
6 | 4
5 | 0
0 | -20
Hope this Helps!
I'm in 7th grade and am doing high school math! Help!
Answer:
Step-by-step explanation:
(x - 5)(x + 2) = 0
x - 5 = 0
x = 5
x + 2 = 0
x = -2
x = 5, -2
please help me It's pythagorean theorem
Answer: 4
Step-by-step explanation:
3^2 + b^2 = 5^2
9 + b^2= 25
b^2 = 16
b = ±4
Answer:
The simple answer is 4 inches for steps look below
Step-by-step explanation:
According to pythagoras theorem
[tex] {5}^{2} = {3}^{2} + {x}^{2} \\ \\ \\ 25 - 9 = {x}^{2} \\ \\ x = 4[/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Samuel bought an 8-ounce bag of lettuce and a 1-pound bag of carrots. what is the total weight of the lettuce and carrots in ounces?
Answer:
the answer is 10z
Step-by-step explanation:
7+1=8
8+2=10
10z
Mona's bank charges a $10 fee per month plus a $0.12 fee per check. The formula below gives f, the total fee in dollars for a month in which Mona writes n checks.
f=10+0.12n
How many checks did Mona write during a month in which her total fee was $12.52?
Answer: Mona wrote 21 checks during a month where her total fee was $12.52
Step-by-step explanation:
f = 10 + 0.12n
12.52 = 10 + 0.12n
[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]
n = 21
Mona wrote 21 checks during a month where her total fee was $12.52
You are in charge of purchasing breakfast for an upcoming service activity involving about 50 people.
You have the choice to pick one of the following food items:
donuts ($0.30/each)
muffins ($0.50/each)
bagels ($0.40/each)
You have the choice to pick one of the following drinks:
individual cartons of milk or chocolate milk ($0.50/each)
individual bottles of orange juice or apple juice ($0.75/each)
You must stay within a budget of $100.
Write the following in your notebook.
What food item did you choose? What drink did you choose? Why?
Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.
Solve the inequality for y (slope-intercept form). Interpret the slope in context of the drinks and food items that are being purchased.
Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down? What does the shaded region represent?
What are the x and y-intercepts? Explain what these would represent in this situation.
What are the domain and range in this problem? Explain why you would or would not use the minimum and maximum values of the domain and range. How are the domain and range in the context of this problem different from the domain and range of any linear equation? What are the limits?
The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.
The items chosenThe items selected here could be any of the listed drinks and food items.
To solve this question, we use the following selection:
Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100The inequality of the cost of itemsIn this case, we use the less than or equal to inequality.
So, we have:
0.5x + 0.5y ≤ 100
Solve the inequality for y (slope-intercept form).In (b), we have:
0.5x + 0.5y ≤ 100
Subtract 0.5x from both sides
0.5y ≤ -0.5x + 100
Divide through by 0.5
y ≤ -x + 200
This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.
The graph of the inequalitySee attachment for the graph of the inequality
The features of the graph include
Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutionsWhat are the x and y-intercepts?From the attached graph, we have:
x-intercept = 200y-intercept = 200This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item
What are the domain and range in this problem?These are the acceptable x and y values of the graph.
From the attached graph, we have:
Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200
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Riya's biking app says that she rides at a speed of 5 miles per hour.
At this speed, how far does Riya ride in 1 hour?
At this speed, how far does Riya ride in 3 hours?
Write an equation for the relationship between Riya's distance biked, d,and time t
Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
The diameter of a ceiling fan, blade tip to blade tip, is 120 centimeters.
a) about how many whole revolutions does it take for the fan to move 1000 meters?
_______
b) if the fan rotates at 40 revolutions per minute, about how long does it take to move 1000 meters? round to the nearest minute.
_______
The number of whole revolutions for 1000 meters is 265, while the time taken to move 1000 meters with a speed of 40rev/min is 7minutes.
What is a revolution?This is the number of times a body moves round a circular path.
A revolution is equal to the circumference of a circle.
Analysis:
r = 120/2 = 60cm
1 revolution of a circle = 2πr
Let n be the number of revolutions
so that 2πr x n = 1000 x 100 since 100 cm = 1 m
n = 100000/2πr = 265 revolutions
If the Fan turns 40 rev / minute
Then it 265 revolutions = 1000 meters, 265/40 = 7 minutes
In conclusion, the number of revolutions for 1000 meters is 265 and the time taken for 265 revolutions is 7 minutes.
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What is the slope of a line that goes through (2, -2) and (5, 6)
8/3
4/3
3/4
3/8
Answer:
correct option is A i.e. 8/3
Mrs. gellar works at a diner. at the end of
her shift, she was putting away pies in the
display case. there were 5 pies, and of 3/8
each pie left. what fraction of the pies did
mrs. gellar put away?
please hepl will give brainly, 30 points
Answer:
∠G = 53°
∠H = 90°
∠I = 37°
Step-by-step explanation:
∠H = 90° because it is a right angle and all right angles = 90°
The sum of all angles in a triangle = 180°
∠H + ∠G + ∠I = 180°
90° + (5x - 7)° + (3x + 1)° = 180°
5x - 7 + 3x + 1 = 90° Subtract 90° from both sides
8x - 6 = 90 Adding like terms
8x = 96 Adding 6 to both sides
x = 12 Dividing both sides by 8
Now solve for ∠G and ∠I using 12 as the value for x
∠G = (5x - 7)° ∠I = (3x + 1)°
∠G = 5·12 - 7 ∠I = 3·12 + 1
∠G = 53° ∠I = 37°
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
Find the lateral surface area of the triangular prism.
Answer:
672
[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]
A rectangular plot measures 140m by 20m find the area in ares
Answer:
28ares
Step-by-step explanation:
that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.
help please!! ⬇️⬇️
find the volume
Mr. Edwards surveyed a total of 80 students in his first three classes in order to determine the numbers of students that have pets. Out of the 30 students in his 1st period class, 12 have no pets. Eighteen of the 27 students in his 2nd period class do have pets. Fourteen of the students in his 3rd period class do have pets. Construct a two-way table summarizing the data. Write the answers as whole numbers.
Answer:
the numbers of students that have pets 44
Step-by-step explanation:
need help on this geometry problem
What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
What is a right rectangular prism?A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]
= 196 + 169 = 365
[tex](diagonal)^{2}[/tex] = 365
diagonal = [tex]\sqrt{365}[/tex] = 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
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A campaign manager is creating campaign signs that advertise his political candidate. The campaign manager would like to maximize the surface area of the signs so that passersby have the greatest chance of seeing them. In keeping with local campaign laws, the campaign signs must have a perimeter of 160 inches. Explain how the campaign manger can find the width and height of the signs that maximize area. Round your values to the nearest tenth of a square inch.
Will mark brainliest please help!!
So if length be L and width be B
We know
Perimeter
2(L+B)So if he wants to create a rectangle advertisement
2(L+B)=160L+B=80The sum of length and breadth must be 80
If it's square
4S=160S=40inIt should have side as 40in
Can anyone tell me the formula or way to solve this problem
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
which of the following is a true statement
Answer:
b
Step-by-step explanation:
[tex] = \frac{68}{5} - \frac{18}{5} \\ [/tex]
[tex] = \frac{50}{5} \\ [/tex]
Change into lowest term
[tex]10...[/tex]
can someone help me pls
Answer:
90
Step-by-step explanation:
Formula : 180 ( n - 2 ) / n n being the amount of sides
180 ( 4 - 2 ) / 4 = 90