Answer and Step-by-step explanation::
250 grams.
Is that 0.25 kg converted to grams? the picture is way too small.
Every kg has 1000 grams. Because it is 0.25 kilograms, you need to take 0.25 of 1000.
1000
x
0.25
= 250.
-4 (x + 1) -3 = -3 (x -4)
Answer: x+1x2. Explanation: Given that. 1x+1x2. =x⋅1+1⋅1x2. =x+1x2.
Step-by-step explanation:
PLEASE HELPP!!!
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
The amount of money in account A is decreasing by 8% per year. Account B recorded a greater percentage change in amount of money over the previous year.
What is amount?Amount is an indefinite quantity of something, usually money or a measurement of quantity. It is often used to describe the total amount of money received or spent in a particular instance or over a period of time.
The amount of money in account A is decreasing by 8% per year. This can be seen by looking at the 0.92 in the equation. This is the rate of decay, and represents a 8% decrease every year.
Part B: Account B recorded a greater percentage change in the amount of money over the previous year. Looking at the table, the amount of money decreased by 10.51%, 10.22%, and 11.94% in the first, second, and third years respectively. This is greater than the 8% decrease in account A.
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which of the following functions grows fastest? group of answer choices n log n n log n n / log n n - log n n log n
In the following option n log n seems to grow the fastest amongst all according to the size of inputs.
In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.
In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.
Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.
1. n grows linearly with n, so it takes more time as the size of the input grows.
2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.
3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.
4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.
5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.
So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.
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The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, \(a:b = x:y\) or \(\frac{a}{b} = \frac{x}{y}\)
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
\(\frac{1}{2} = \frac{x}{540}\)
Cross multiply
\(2x = 540(1)\)
Divide both sides by 2
\(\frac{2x}{2} = \frac{540}{2} \\x = 270\)
Therefore, the number of qualified teachers is 270.
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Desmond went to a concert with his three other friends and he decided to pay for the tickets and his friends would pay him back. The total of the tickets was $108. Write and solve an equation that will find how much it is for one ticket.
Find the area of the polygon
(Thank you!)
Answer:
90 in^2
Step-by-step explanation:
Emilio makes $400 per pay check. What would his annual salary be if he was paid monthly?
Work:
Answer:
Answer:
$400 times 12 ( for the 12 months in a year) which gets you $4,800.
Answer: $4,800
area of triangle۔ab =154،bc=346،ac=349
Therefore, the area of the triangle ABC is approximately 18096.3 square units.
What is the area of the triangle?
To calculate the area of a triangle, use the formula area = 1/2 * base * height.
We can use Heron's formula to find the area of the triangle ABC when the lengths of its three sides are known:
\(Area = {\sqrt{(s(s-a)(s-b)(s-c))}\)
where "s" is the semiperimeter of the triangle, which is half the sum of the lengths of its three sides:
s = (a + b + c)/2
In this case, we have:
a = AB = 154
b = BC = 346
c = AC = 349
So the semiperimeter is:
s = (a + b + c)/2 = (154 + 346 + 349)/2 = 424.5
Now we can use Heron's formula to find the area of the triangle
\(Area = \sqrt{(s(s-a)(s-b)(s-c))}\\\\Area = \sqrt{(424.5(424.5-154)(424.5-346)(424.5-349))}\\\\Area= 18096.3\)
Therefore, the area of the triangle ABC is approximately 18096.3 square units.
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Which equation is an integer?
5-3 =
6-10 =
11.6 - 3 =
63 - 4 x 5 =
\(5-3=2\\\\6-10=-4\\\\11.6-3=8.6\\\\63-4\times 5=63-20=43\)
So, the first, second, and fourth equations are integers.
The first and last are positive integer and second is negative integer.
What are integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
a) 5-3 =2
b) 6-10 = -4
c) 11.6 - 3 =8.6
d) 63 - 4 x 5 =63- 20 = 43
So, among the above first and last are positive integer and second is negative integer.
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PLEASE TELL ME THE VALUE
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
6. (a) Find a recurrence relation for the number of n-digit binary sequences with no pair of consecutive 1s. (b) Repeat for n-digit ternary sequences
(a) There are 2 sequences of length 1 that fit the bill: 0 and 1. So if \(b_n\) is the number of permissible sequences, then \(b_1=2\).
To the sequence 0, we can attach either 0 or 1 at the end, while the sequence 1 must be followed by 0. Then the permissible sequences of length 2 are 00, 01, and 10, so \(b_2=3\).
Now consider a sequence of length n + 1, of which there are \(b_{n+1}\).
• If the last digit is 0, then we got this sequence by simply joining 0 to one of \(b_n\) sequences. In other words, there are \(b_n\) permissible sequences of length n + 1 that end in 0.
• If the last digit is 1, then the previous digit must have been 0. Put another way, we join 01 to a permissible sequence of length n - 1 (there are \(b_{n-1}\) of them). So there are \(b_{n-1}\) permissible sequences of length n + 1 that end in 1.
These cases are mutually exclusive, so the number of (n + 1)-length permissible sequences is given by
\(\begin{cases}b_1 = 2 \\ b_2 = 3 \\ b_{n+1} = b_n + b_{n-2} & \text{for }n\ge2\end{cases}\)
(b) The reasoning for a permissible ternary sequence is similar. Let \(t_n\) be the number of sequences of length n not containing 11.
We first note that \(t_1 = 3\), since we can have 0, 1, or 2; and \(t_2 = 8\), since we can have 00, 01, 02, 10, 12, 20, 21, or 22.
Consider a sequence of length n + 1 (\(t_{n+1}\) of these).
• If the last digit is 0, then we joined 0 to a permissible sequence of length n. So there are \(t_n\) permissible sequences of length n + 1 ending in 0.
• If the last digit is 1, then the last two digits must be either 01 or 21. Since there are 2 choices for the n-th digit, there are \(2t_{n-1}\) permissible sequences of length n + 1 ending in 1.
• If the last digit is 2, then we essentially have the same situation as if the sequence ended in 0, so there are \(t_n\) sequences of length n + 1 ending in 2.
Then the recurrence for ternary permissible sequences is
\(\begin{cases}t_1 = 3 \\ t_2 = 8 \\ t_{n+1} = 2t_n + 2t_{n-1} & \text{for }n\ge2\end{cases}\)
A plastic page designed to hold trading cards will hold up to 8 cards. How many pages will be needed to store 583 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 583 cards is (blank).
Answer:
73 pages
Step-by-step explanation:
You want the number of pages required to hold 583 cards when each page will hold 8.
Least integerThe number of pages required is ...
(583 cards)/(8 cards/page) = 72 7/8 pages
The least integer greater than this number is 73
The number of pages needed to store 583 cards is 73.
Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard
Answer:
meter - yard
kilogram - 2 pounds
liter - quart
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.
Determine the amount of money you need to invest to accumulate $7,000 dollars in 4 years if you invest it at 2.5% annual interest, compounded quarterly.
An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.
To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.
The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.
Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.
A = P(1+r/n)^(nt)
A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
In base 2 (Binary system), which equation is false?
*(explain answer in detail)
a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11
Answer:
it is a
Step-by-step explanation:
because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1
100 = 5
pls mark it as the brainlyest answer
Answer:
It's a.
Step-by-step explanation:
11 binary = 2 + 1 = 3 in decimal.
So 11 + 1 = 3 + 1 = 4 in decimal.
and 4 in binary = 100 (2^2 + 0 + 0)
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
Is (2, 4) a solution of the equation y = x - 2 ?
Answer: No, (2,4) is not a solution to the equation y = x-2
===============================================
Explanation:
We can show this by plugging x = 2 into the equation. We should get y = 4 if (2,4) was a solution
y = x-2
y = 2-2 ... replace x with 2
y = 0
Since we didn't get y = 4, this means (2,4) is not a solution
-----------------
A similar method would be to do these steps
y = x-2
4 = 2-2 ... replace x with 2, replace y with 4
4 = 0 ... false equation
The false equation shows y = x-2 is not true when (x,y) = (2,4)
-----------------
The graph of y = x-2 does not have the point (x,y) = (2,4) on the line.
So this is a visual way to confirm (2,4) is not a solution to y = x-2.
See the graph below.
(2, 4) is not a solution to the equation y = x - 2.
Given,
(2, 4)
We need to see whether (2, 4) is a solution to the equation y = x - 2.
What is a solution to an equation?The solutions are the values that satisfy the equation.
Example: y = x + 1
(1, 2) is a solution to y = x + 1.
( 1, 2 ) = ( x, y )
2 = 1 + 1
2 = 2
We have,
(2, 4) = (x, y)
y = x - 2
Put x = 2 and y = 4
4 = 2 - 2
4 = 0
Which is not true.
Thus (2, 4) is not a solution to the equation y = x - 2.
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Which table represents an exponential function?
A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 1, 3, 5, 8, 11.
A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 1, 4, 16, 64, 256.
A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 2, 4, 6, 10, 12.
Answer:
The second table
Step-by-step explanation:
The second table you described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. (every time the Xs increase by 1, the Ys increase by a multiple of 4)
I hope this helps :))
Answer:
2nd graph
Step-by-step explanation:
edge
hope this helps :)
Merle tiene una oferta de un emisor de tarjeta de crédito para una APR del 0
% durante los primeros 60 días y una APR del 23,19 % después, con
capitalización diaria. ¿Qué tasa de interés efectiva se ofrece Merle?
UNA 26.00%
La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.
¿Cómo determinar la tasa de interés efectiva anual?
En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.
Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:
I = (1 + r / 36500)ⁿ
Donde:
r - Tasa de interés anual.n - Número de días.I - Ganancia por interés.La situación es descrita por la siguiente expresión matemática:
1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵
Donde R es la tasa efectiva de interés anual.
Finalmente, despejamos la variable correspondiente:
R = 21,375
La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.
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"A quadrilateral is a square if and only if it has fourright angles."Which of the following terms provides acounterexample for why the biconditional statement is
Given statement: A quadrilateral is a square if and only if it has four right angles
Counterexample: A quadrilateral with four right angles can be also a rectangle. Then, not all quadrilaterals with four right angles are squares.
Answer: Rectangle
Surface area of chili deer
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
\(\text{SA} = 2 \pi r^2 + 2 \pi r h\),
where r is radius and h is height.
\(2\pi r^2\) comes from two times the area of the circle, \(2 \pi r h\) is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
\(\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2\)
The graph provided show the volume (in cubic inches) of air in a balloon as it changes
over time.
What is the volume of the balloon in cubic inches after 10 seconds?
we can see that after 10 seconds the volume of the ballon is V = 400 cubic inches.
What is the volume of the balloon in cubic inches after 10 seconds?If you look at the graph, you can see that the time is on the horizontal axis and the volume is on the vertical axis.
So, if you want to find the volume after 10 seconds, you need to find the value 10 seconds on the horizontal axis. Once there, we look up and we see which value of y takes the curve.
By doing that, we can see that after 10 seconds the volume of the ballon is V = 400 cubic inches.
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A cylindrical bucket contains 615 cubic inches of water the heigh of the water is 4 inches what is the radius of the bucket to the nearest whole number
Answer:
Your answer is: 5 or 6 inches
Step-by-step explanation:
Hope this helped : )
A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
Group of answer choices
Answer:
20
Step-by-step explanation:
5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.
(3/4) x (5/5)
(2/5) x (4/4)
Giving you 15/20 and 8/20
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures.
Answer= 144
Step-by-step explanation:
Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form
Answer:
(L-6)(L+2)
Step-by-step explanation:
Let L be the length of the flower garden.
Then the width will be L-4.
The area of the flower garden = L*(L-4) =L²-4L
The area of the birdbath is 3*4 = 12 ft²
The area of the remaining space for planting is
= Area of flower garden - area of birdbath
L² - 4L - 12We can factor the expression as follows:
L² - 4L - 12 L²-(6-2)L-12L²-6x+2x-12taking common frome each two terms
L(L-6)+2(L-6)(L-6)(L+2)Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.