Answer:6+14+2=20+2=22
Step-by-step explanation:6+2+14=22
In commutative property, the order of the addends is changed and the answer is simplified.
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
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Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Green Frog convenience store supplies two types of protein bars. One protein bar has 320 calories in the 2-ounce size. How many calories are in the 3-ounce size of the bar?
320
213
480
620
Answer:
I think it is C) 480
Step-by-step explanation:
320÷2=160
160×3=480
Can I please have Brainliest?
There are 480 calories are in the 3-ounce size of the bar.
What is mean by Multiplication?Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Green Frog convenience store supplies two types of protein bars.
And, One protein bar has 320 calories in the 2-ounce size.
Now,
For 1 ounce size, calories in One protein bar = 320 / 2
= 160
Hence, We get;
For 3 ounce size, calories in One protein bar = 160 x 3
= 480
Thus, There are 480 calories are in the 3-ounce size of the bar.
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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and CD.
Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given
[tex]OA = 2x + 9y[/tex]
[tex]OB = 4x + 8y[/tex]
[tex]CD = 4x - 2y[/tex]
Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:
[tex]AB = (c - a)x + (d - b)y[/tex]
Where:
[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]
[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]
This implies that:
[tex]a =2[/tex] [tex]b = 9[/tex] [tex]c = 4[/tex] [tex]d = 8[/tex]
So:
[tex]AB = (c - a)x + (d - b)y[/tex]
[tex]AB = (4 - 2)x + (8 - 9)y[/tex]
[tex]AB = 2x -y[/tex]
So, we have:
[tex]AB = 2x -y[/tex]
[tex]CD = 4x - 2y[/tex]
Calculate the slope (m) of [tex]AB\ and\ CD[/tex]
[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]
For AB
[tex]m_1 = \frac{-1}{2}[/tex]
[tex]m_1 = -\frac{1}{2}[/tex]
For CD
[tex]m_2 = \frac{-2}{4}[/tex]
[tex]m_2 = \frac{-1}{2}[/tex]
[tex]m_2 = -\frac{1}{2}[/tex]
By comparison:
[tex]m_1 = m_2 = -\frac{1}{2}[/tex]
This implies that both lines have the same slope
Pls help i am stuck on this
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale
Answer:
0.25
Step-by-step explanation:
Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.
If you multipy every side of figure A by 0.25 you would get the sides of figure B.
Hope this is helpful:)
James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.
Answer:
$14.59
Step-by-step explanation:
commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.
Convert 0,0909 to a ratio of two integers
Answer:
not sure
Step-by-step explanation:
besties i need help on this question
Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.
Answer:
9:14
Step-by-step explanation:
18:(18+4+6)
18:28
(18÷2);(28÷2)
9:14
One seventh of a number is 12.
What is the number?
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
Can someone please help me
Answer:
radius = 10
(x-5)² + (y-11)² = 100
Step-by-step explanation:
The circumference is given, we get r = 20π/2π = 10
∴Equation of circle is (x-5)² + (y-11)² = 100
Answer:
hiii
Step-by-step explanation:
Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.
Answer:
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Step-by-step explanation:
Mr. Linx wages = x
Mrs. Lynn wages = y
x + y = 32.50 (1)
35x + 37y = 1,172.50 (2)
From (1)
x = 32.50 - y
Substitute x = 32.50 - y into (2)
35x + 37y = 1,172.50
35(32.50 - y) + 37y = 1172.50
1137.5 - 35y + 37y = 1172.50
- 35y + 37y = 1172.50 - 1137.50
2y = 35
y = 35/2
y = 17.50
Substitute y = 17.50 into (1)
x + y = 32.50
x + 17.50 = 32.50
x = 32.50 - 17.50
x = 15
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Plz, answer this question plz!
Answer:
third option down I'm 99% sure
(6.253•10^-2)(7.112x10^3) in scientific notation
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
logarithm
[tex] log(53.75) [/tex]
Answer:
log(53.75) ≈ 1.73
Step-by-step explanation:
Not sure if this was a question but I just put it into my calculator.
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
You started at 440 meters then decreased by 20%. What is your elevation now?
Mia has a bag of jellybeans. She has 1 cherry, 1 lime, 8 grape, and 2 lemon jellybeans. If she pulls out 1 jellybean without looking, what is the probability that she pulls out a flavor other than grape?
Answer:
7.692
Step-by-step explanation:
have a nice day :D
Answer: 1/3 or .33
Step-by-step explanation:
If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!
Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540
Answer: 45$
Step-by-step explanation:
Given
Principal [tex]P=\$500[/tex]
Rate [tex]R=6\%[/tex]
time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
In the question, time is taken in months which is incorrect
Putting values
[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]
PLS HELP! TELL ME HOW TO DO IT!
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.
Complete question :
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.
Answer:
31C + 19M ≤ 706
7500C + 4300M > 84000
Step-by-step explanation:
C = number of cars built
M = number of motorcycles built
Cost of building a car :
Cost = 31 + $7500
Cost of building a motorcycle,:
Cost = 19 + 4300
To build, C cars :
Number of employees = 31C
7500 * C = 7500C
To build, M motorcycles :
Number of employees = 19M
4300 * M = 4300M
Genghis budget :
Amount > 84000
Number of employees ≤ 706
Hence, the constraints
31C + 19M ≤ 706
7500C + 4300M > 84000
Let's play a game.... Find two numbers that multiply to
10 and add to 7.
Answer:
2 and 5
Step-by-step explanation:
five plus two equals 7
Answer:
5 & 2
Step-by-step explanation:
X + y = 7
X × y = 10
Solve with the help of trial & error method.
Factors of 10 - 1, 5, 2, 10
Let's take 5 as X & 2 as y.
X + y = 7 --- 5 + 2 = 7
X × y = 10 --- 5 × 2 = 10
Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
Solve the given proportion.
x = [?]
Answer:
x=48
Step-by-step explanation:
I hope I helped!!1
Name an event that has a probability of 2/7
Answer:
2/7
Step-by-step explanation:
7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?
-10 + 2d=8 pls help me
Answer:
Add 10 from both sides:
2d = 18
divide by 2
D = 9
pls answer this asap no wrong answers pls
Answer:
They have the same y-intercept of -6.
what is the power times a power
where does the power go in a equation
how do you put a power in a equation
Answer:
The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Step-by-step explanation:
sup
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .