by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12
Step-by-step explanation:
1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)
=∑k=1n(k2+k)
=∑k=1n(k2)+∑k=1n(k)
=n(n+1)(2n+1)6+n(n+1)2
=n(n+1)6(2n+1+3)
=n(n+1)6(2n+4)
=n(n+1)6[2(n+2)]
=n(n+1)(n+2)3
if g(x) =x over 2 + 3 find g (4)
Answer: 2
Step-by-step explanation: 4/2=2
2/3x = -36
Possible answers
+24
-24
+54
-54
Answer:
-54
Step-by-step explanation:
2/3x=-36
3*2/3=3(-26)
2x=-108
2x/2= -108/2
x=-54
the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?
Kaylie and Juan are in a Dance-a-thon. Contestants rest for the same amount of time every hour. Kaylie rests for 22 minutes in 4 hours. How long did they rest in 28 hours? Find the unit rate.
Answer:
154 mins or 2 hour and 34 mins
Step-by-step explanation:
Step 1:
22 : 4 Ratio
Step 2:
22 : 4 = x : 28 Equation
Step 3:
4x = 616 Multiply
Step 4:
x = 616 ÷ 4 Divide
Answer:
x = 154
Hope This Helps :)
Use the formula m= y2-y1/x2-x1 to calculate the slope of the line.
Answer:
[tex]m=2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 8)
Point (-6, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-8}{-6-2}[/tex]Subtract: [tex]m=\frac{-16}{-8}[/tex]Divide: [tex]m=2[/tex]Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?
Answer:
10
Step-by-step explanation:
because
14/2+3=10 this is the explanation
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line correctly models this situation and the total number of distance markers?
Given :
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.
To Find :
Which number line correctly models this situation and the total number of distance markers.
Solution :
It is given that their are markers every 1/4 part of mile.
So, their are 4 markers per mile.
Numbers of markers in 3 miles long path is :
[tex]n = 3\times 4\\\\n = 12[/tex]
Therefore, the total number of distance markers in 3 mile path is 12.
Hence, this is the required solution.
Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?
Given m = -6/5 and the point (6,5), which of the following is the point-slope form of the equation?
>) Jaxson and Bryon collected an equal amount of
money during a car wash. They collected cash and
checks as shown below. If each check is written for
the same amount, x, what is the total amount of
money collected by both boys? Explain.
Jaxson
Bryan
Jaxson
Bryon
Answer:
Step-by-step explanation:
We need the chart or other information.
4^4÷4^7 as a fraction
Answer: multiply it by the bisector of the photosynthesis.
obviously
Step-by-step explanation:
Find the value of f(3) for the function. f(3)=-5(x+5)
Answer:
Step-by-step explanation:
f(3)=-5(x+5)
=5(3) +5
=15+5
f(3) =20
i need help???? ???
Answer:
Upper Quartile
Step-by-step explanation:
The third quartile (Q3) is the middle value between the median and the highest value of the data set. It is also known as the upper quartile or the 75th empirical quartile and 75% of the data lies below this point.
Mrs teed bought 22 packs of hot dog rolls at the store for the 4th-grade picnic there were 12 rolls in each pack how many hot dog rolls did she buy remember to regroup
Answer:
Step-by-step explanation:
To find out
22 x 12 = 264 rolls
Solve for n. You must write your answer in fully simplified form.
- 4n = -5
1.25 or 5/4
Step-by-step explanation:
At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green
Answer:
61 years old in the year 2020Step-by-step explanation:
Let us assume the question was asked in the year 2020, that is this year
Say that Mr. Green was born in year x
The mathematical expression for his statement is given as
[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]
Solve for x
x + 2020 + 2020 - x - x - 60 - x = 122
4040- 122- 2x = 0
3918= 2x
divide both sides by 2
3918/2= x
x=1959
He was born in 1959, so now
he is (2020-1959)
=61 years old.
I kind of don’t get this could someone explain and answer this question I would really appreciate :)
Answer:
its the fourth one
sts3ps oe
Answer:
the first picture A.
Step-by-step explanation:
Vertical angles are just two angles that lie across from each other. The other 3 pictures are referring to adjacent angles which are two angles that lie directly next to each other.
Find the lcm of 15,30 and 105
Answer:
210
Step-by-step explanation:
Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample
Answer:
True
Step-by-step explanation:
The communative property states that the order in addition and multiplication dosen't matter.
A pediatrician prescribes an infant patient 2.5 mL of Vistaril bid for 10 days. The label
on the medication indicates that the bottle contains 25mg/5mL of the oral suspension.
How many teaspoons full should the infant receive daily?
Answer: 1 teaspoon
Step-by-step explanation:
The calculation on the number of teaspoons full that the infant should receive daily should be:
Ordered dose = 2.5 ml bid and this should be given twice a day.
Since it's take twice, the total dose for the day will be:
= 2.5 × 2
= 5.0ml
Since 1 teaspoon is equal to 5ml, it means that the teaspoon that the infant should receive daily is 1 teaspoon.
What is the remainder after you divide 7*7*7... 124 times by 4
Answer:
1
Step-by-step explanation:
Remainder if 7*7*7... 124 times is divided by 4
The remainder when (7^124) / 4
Using python console:
a = 7**124
b = 4
c = a%b
print(c)
Output = 1
Hence, the remainder when 7^124 is divided by 4 is 1
Please answer for me domain and range
Which statement about the planes is true?
bruh
why
what
?
osea si pero al a vez cuando pasa osea si parece pero no lo es pero lo es cuando puede ser
fill in the blanks on the Trapezoid
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
What is unit rate of 1/3 and 1 1/2
15*PLEASE PLEASE PLEASE ANSWER VERY FAST AND CORRECT TYSM!
-2/15=13/15
Step-by-step explanation:
2/3-4/5=13/15
2/15=13/15
3.
Determine the amplitude (A), period (P) and phase shift (PS) of the function
f(x) = tan (2x + 1).
A = 1, p = ,PS = (2:0)
A = 1, P = 27, PS =
o
s = (2)
A = 1, p = 5, P = (1,0).
A = 1, P = 2.PS = (6, 1)
Answer:
for f(x)=tan(2x+1)
Amplitude: None
Period: pi/2
phase Shift: -1/2(1/2 to the left)
8/6+(-9/5) . . . . . . . .. .. . .. . . . .. . .. .
Answer:
To add fractions, find the LCD and then combine.
Exact Form:
-7/15
Decimal Form:
−0.46