Answer:
Step-by-step explanation:
Given (12^13–12^12+12^11)(11^9–11^8+11^7),
(12^13–12^12+12^11)(11^9–11^8+11^7) =
[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)
[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =
(12^12(11) + 12^11)(11^8(10) + 11^7) =
(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =
[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =
[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =
[(12^11)x(11^7)](133 x 111) =
[(12^11)x(11^7)](133 x 111) =
[(12^11)x(11^7)](14763) =
[(12^11)x(11^7)](3x7x19x37)
From here, it is clear that the given number is divisible by 3, 7, 19 and 37.
Identify and state the pattern of odd number and even numbers for the following sequences of numbers.
a) 11, 16, 19, 24,..., 83, 88
Answer:
Step-by-step explanation: add 5, add 3
24+5= 29,
29+3= 32,
etc
Solve this please ( sorry if u cant see it clearly)
Answer:
3 I did it already..................
Step-by-step explanation:
3
Answer:
3
Step-by-step explanation:
observe the choices and choose the closest choices. MR/MP=RQ/NP THE HINT IS "NP".
A mechanic is constructing the metal structure shown.
Both F) and IK measure 4 m and are perpendicular to GH. The measure of ZKIH = 40° and GJ HK.
What is the measure of ZFGJ?
A. 20°
O B. 40°
O C. 50
O D. 90°
Answer:
C) 50°
Step-by-step explanation:
Δ FJG ≅ Δ IKH
∡J = 90
∡I and ∡F = 40
therefore, ∡G = 180 - (90+40) = 50°
beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
Answer:
Step-by-step explanation:
Beth is painting at a rate of 6/5=1 1/5 room per hours
The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,
Time for a single room = Time taken to paint / Number of rooms
= 6 hours / 5 rooms
= (6/5) hours per room
= 1 1/5 hours per room
Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
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help due in 10 minutes
Answer:poster 10 hours ago
Step-by-step explanation:
me reads it is due in 10 min
Please help me out with this
Answer:
10
Step-by-step explanation:
2+2+6
Answer:
10
Step-by-step explanation:
The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
Consider the two expressions. Expression 1: -4(9x-2)+3
Expression 2: -36x+k
What value of k will make the two expressions equivalent?
Answer:
11
Step-by-step explanation:
first, distribute the negative four in Expression 1: -36x+8+3
next, set that equal to Expression 2: -36x+11 = -36x+k
finally, add 36x to both sides: 11 = k
3(2x+ 1) for x = -8
Hi
Answer:
-45
Step-by-step explanation:
inside the parentheses: 2*-8= -16
-16+1=-15
3 (-15)= -45
Answer:
-45
Step-by-step explanation:
hello
I need help someonehelp me
Answer:
∠ F ≈ 78°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then
∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monusco bonds paying 4% annually and the rest in mutual funds paying 7% annually John invested 4000 more in mutual funds than he invested in municipal bonds the total interest in one year with $670
Answer:
John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?
The explanation of the answer is now given as follows:
Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:
a + b + c = 12,000 ……………………….. (1)
Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:
c = b + 4,000 ……………………………. (2)
The total amount of interest earned from each fund can be represented as follows:
0.03a + 0.04b + 0.07c = 670 ………………. (3)
Substituting equation (2) into equation (1), we have:
a + b + b + 4,000 = 12,000
a + 2b = 12,000 – 4,000
a + 2b = 8,000
a = 8,000 – 2b ……………………….. (4)
Also, substituting equation (2) into equation (3), we have:
0.03a + 0.04b + 0.07(b + 4,000) = 670
0.03a + 0.04b + 0.07b + 280 = 670
0.03a + 0.04b + 0.07b 0 = 670 – 280
0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)
Substituting equation (4) into equation (5) and solve for b, we have:
0.03(8,000 – 2b) + 0.11b = 390
240 – 0.06b + 0.11b = 390
240 + 0.05b = 390
0.05b = 390 – 240
0.05b = 150
b = 150 / 0.05
b = 3,000
Substituting b = 3,000 into equation (2), we have:
c = 3,000 + 4,000
c = 7,000
Also, substituting b = 3,000 into equation (4), we have:
a = 8,000 – (2 * 3,000)
a = 8,000 – 6,000
a = 2,000
Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
To which subsets of the real number system does -16 belong?
Answer:
natural numbers, rational numbers, integers, whole numbers, real numbers
-16 belongs to the set of the integers and rational numbers.
Given that,
To discuss to which subsets of the real number system -16 belong.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16
Thus, -16 belongs to the set of integers and rational numbers.
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how many terms of series 64+16+4 have the sum 5461\64?
Answer:
5th term will approximate 5461/64
Step-by-step explanation:
5th term will approximate 5461/64
64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33
Write a mathematical expression for the following.
"The product of a number and five is decreased by three."
Answer:
x=y-3
Step-by-step explanation:
okay, so first, we have to understand what the words mean.
PRODUCT: means the answer to a multiplication question
DECREASED: taken away or to make smaller
AND: addition or add
We can use X for "product" and Y for "a number"
now we can write it out:
x=y+5-3
OR
y+5-3=x
The price of a bicycle was reduced from $120 to $90. By what percentage was the price of the bicycle reduced?
Answer:price of the bicycle was reduced by 25%
Step-by-step explanation:
Step 1
Old Price of bicycle = $120
New Price of bicycle= $90
Price decrease= $120-$90= $30
Step 2
Percentage decrease = Decrease / Original price x 100
= (30/120) x 100
1/4 x 100
= 25%
Therefore the percentage decrease in the price is 25%
can someone help me find out what is 48y-24
Answer:
24(2y-1)
Step-by-step explanation:
(pls mark me brainliest)
In the following, after distributing and solving, find the error.
6(x + 8) = 72
6x + 48 = 72
6x + 48 + 48 = 72 + 48
6x = 120
X = 20
What was the error and explain then give the correct answer.
Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
Kera earns $12 per hour at her job. Every day she also earns $15 for walking her neighbor’s dog. She has decided to save all of her earnings for college. If x represents the number of hours she works, write an expression that represents the total amount Kera will save for college each day.
Answer:
nah
Step-by-step explanation:
Can someone help please
HELP PLEASE 13 POINTS!!!!!! SUPER EASY
3x-(-3-x)=-1
pls answer this
Step-by-step explanation:
Apply rule: 3x+3x =-1
Add similar elements: 6x=-1
Divide both sides by six
Simplify: x= -1/6
Find the unit rate.
18 push-ups in 3 days= ??
Please help me out with this one
Answer:
is it not just 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Find the intersection of Red and Cruze, and you get the box with 3
w/4 -4 = 3
this is w over 4
solve the equation and show process
Answer:
w=28
Step-by-step explanation:
multiply both side by 4:
[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add +16 in both side:
[tex]16+w-16=12+16\\w=28[/tex]
5n+2(11-h)=-5
please help me find the answer and step by step
Answer:
Step-by-step explanation:
Answer:
[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]
Which answer is an equation in point-slope form for the given point and slope?
Point: (1,9); Slope: 5
A) y−1=5(x+9)
B) y−9=5(x−1)
C) y+9=5(x−1)
D) y−9=5(x+1)
Answer:
B [tex](y-9)=5(x-1)[/tex]
Step-by-step explanation:
Formula of straight line in Point slope form
[tex](y-y_1)=m(x-x_1)[/tex]
Here
[tex]m=5 \ and \ (x_1, y_1)=(1, 9)[/tex]
therefore equation of line having slope 5 and passing through point )1, 9) is given as
[tex](y-9)=5(x-1)[/tex]
Answer:
Francine has just set up her Christmas tree. 40% of her ornaments are red. If she has 30 ornaments, then how many are red?
Step-by-step explanation:
The perimeter of a triangle is 38 inches. Two sides of the triangle measure 12 inches and 10
inches. What is the length of the third side of the triangle?
Answer:
16
Step-by-step explanation:
38-12-10=16
Answer:
16
Step-by-step explanation:
155 Divided By 9,765
Answer:
0.0158730159
Explanation:
Please help!!! I’ll mark the best answer brainliest!! (look at the photo)
Go with ÷5 its the most closest while the rest are no where to be found.