Answer:
280 kg
Step-by-step explanation:
279.98... so it rounds up to 280
Answer:
58kg
Step-by-step explanation:
127 pounds to kg is 57.606 kgs
divide pounds by 2.205
There are 20 coin in a pot. The coin are 1p,2p,5p and 10p. A coin i taken at random from the pot. The probability that it i a 1p coin i 3/10. The probability that it i a 2p coin i 2/5. The total value of the coin in the pot i 57p. Work out how many of each type of coin there are in the pot
By solving a system of two simultaneous linear equation, it can be calculated that
There are 6 1p coin, 8 2p coin, 5 5p coin and 1 10p coins in the pot
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here a system of two simultaneous linear equation needs to be solved
Number of coins in a pot = 20
The coin are 1p, 2p,5p and 10p
Probability of 1p coin is \(\frac{3}{10}\)
So number of 1 p coins = \(\frac{3}{10} \times 20 = 6\)
Probability of 2p coin is \(\frac{2}{5}\)
So number of 2 p coins = \(\frac{2}{5} \times 20 = 8\)
Let the number of 5p coin be x and number of 10p coins be y
6 + 8 + x + y = 20
x + y =20 - 14
x + y = 6 ..... (1)
Value of 6 1p coin = 6 \(\times\) 1 = 6p
Value of 8 2p coin = 8 \(\times\) 2 = 16p
Value of x 5p coin = x \(\times\) 5 = 5x p
Value of y 10p coin = y \(\times\) 10 = 10y p
Total value = 6 + 16 + 5x + 10y
= 5x + 10y + 22
By the problem,
5x + 10y + 22 = 57
5(x + 2y) = 57 - 22
x + 2y = \(\frac{35}{5}\)
x + 2y = 7 ....... (2)
Subtracting (1) from (2)
y = 1
Putting the value of y in (1)
x + 1 = 6
x = 6 - 1
x = 5
There are 6 1p coin, 8 2p coin, 5 5p coin and 1 10p coins in the pot.
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What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation
Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.
The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).
Whenever the function is "translated" it is moved in such a very way that it will not alter the shape or rotate in any way.The reflection is a modification of the function's graph all along the x or y-axis (or both).Dilation is defined as a stretch or shortening about in an axis caused by multiplying or subdivisions.Therefore, the answer is "translation , reflection , and dilation".
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Answer:
A) Translation
B) Reflection
C) Dilation
Step-by-step explanation:
At what position on the number line is the red dot located?
Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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11x^2 + 39 = 13x + 10x^2 - 1
multiply 3x3yand 4x3
Here,
Answer:
21
Step-by-step explanation:
What is the range? ???????
Answer:
the difference between the highest and lowest values in a set of numbers.
Step-by-step explanation:
How long would it take to pay off a $1000 balance with an interest rate of 14% APR when you only make the minimum payments of $20 each month?
It's important to note that this calculation assumes that the interest rate remains constant and that no additional charges are added to the balance. In reality, the time it takes to pay off the balance could be longer due to these factors.
Assuming the minimum payment is calculated as a percentage of the balance, we can use the following formula to determine the time it would take to pay off the balance:
t = (-1/12) * log(1 - (r/12) * b/p) / log(1 + r/12)
where t is the time in years, r is the annual percentage rate (APR), b is the balance, and p is the minimum payment.
Substituting the given values, we get:
t = (-1/12) * log(1 - (0.14/12) * 1000/20) / log(1 + 0.14/12) = 94.5 months
It would take approximately 94.5 months or 7.9 years to pay off the balance with only minimum payments.
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Find the perimeter of the following shape (show all work and box your final answer):
=========================================
Work Shown:
To find the perimeter, we add up all the exterior side lengths.
P = perimeter
P = (side1) + (side2) + (side 3)
P = (2y-3x-3) + (12+5x+7y) + (9x-3y+2)
P = (-3x+5x+9x) + (2y+7y-3y) + (-3+12+2)
P = 11x + 6y + 11
Si tuviera 4 huevos y un ladrón me lleva 3 y el gallo que tengo pone 5 cuántos huevos tengo.
Tengo un total de 3 huevos en la última.
Los rompecabezas también son una excelente manera de pensar fuera de la caja. Resolver acertijos fortalece las conexiones entre las células cerebrales y forma nuevas células cerebrales, mejorando así la memoria. Resolver acertijos es una excelente manera de mejorar tu memoria a corto plazo.
Este acertijo viral debe leerse con atención. Su primer pensamiento podría ser que este es un problema matemático simple.
Si tuviera cuatro huevos
Un ladrón me da 3 huevos,
Mi gallo de granja pone 5 huevos,
¿Cuántos huevos tengo?
La explicación lógica de este acertijo es "Para empezar, el acertijo dice 'Si tuviera 4 huevos', pero este es solo un escenario y no tenías ningún huevo en primer lugar. Así que eso es 0 huevos.
Entonces el ladrón te dio 3 huevos.
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Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Identify the graph and compare the graph of f(x)
The graph of n(x) is a reflection, 1 unit up, and a translation 2 units to the right of the graph of f(x).
The function f(x) = ∛x is the cube root function, which has a basic graph passing through the origin and increasing as x increases.
When we consider the function n(x) = ∛(-8x) - 1, we notice that the negative sign in front of the argument of the cube root function implies a reflection about the y-axis.
This means that the graph of n(x) will be a mirror image of the graph of f(x) with respect to the y-axis.
Next, the -1 outside the cube root function implies a vertical shift of 1 unit downwards.
Therefore, the graph of n(x) will be shifted 1 unit down from the graph of f(x).
Finally, the factor of -8 in front of x implies a horizontal stretch by a factor of 1/8.
This means that the graph of n(x) will be compressed horizontally by a factor of 1/8 compared to the graph of f(x).
Overall, the graph of n(x) is a reflection, 1 unit up, and a translation 2 units to the right of the graph of f(x).
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Ann traveled 47.8 miles each day for the past 7 days. How many miles did she travel in all?
Answer:
334.6 miles
Step-by-step explanation:
Do either
47.8 x 7 = 334.6
or
47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 = 334.6
If 20 articles cost ? 90, then the cost of 9 articles is ?
A. 45
B 4.50
C.40.50
D. 42
Answer:
C. $40.50
Step-by-step explanation:
OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?
First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.
Hope its correct ;w;
reggiethenerd10 what is (8.7 + 3.3) x (1/2) 2 to the second power
Answer:
3
Step-by-step explanation:
The value of the operation is 3.
The first step is to solve for the terms in the brackets.
The decimals would be added first 8.7 + 3.3 = 12
The second step is to determine the square of one-half² = x = 1/4
The third step is to multiply, 1/4 by 12 1/4 x 12 = 3
Someone help me ples
Answer:
24
Step-by-step explanation:
You should draw a picture to let everything fall into place:
.................2x.......................
N ----x+7------ O ---10---- P
Then you can easily see that
x+7 + 10 = 2x
17 = 2x - x
so x = 17
NP = 2x = 2*17 = 34
NO = x+7 = 17+7 = 24
OP = 10
NO + OP = 24 + 10 = 34 = NP
what’s the answer choice?
Answer:
\(\huge\boxed{Option \ A}\)
Step-by-step explanation:
a) 11 + 2x
[More than => Addition, Sum]
b) \(\frac{5}{x} - 2\)
[Quotient => Division, Less than => Subtraction ]
c) 4(x+8)
[Product => Multiplication and it says that there are two terms to be multiplied]
1 => 4 and 2 => (x+8)
Where they are multiplied, they are written as:
=> 4(x+8)
NEED HELP ASAP AND PLZ SHOW WORKKK
Answer:
24 ft
Step-by-step explanation:
Let the height of the lantern = x.
Set the ratios:
Ratio of the lantern & shadow: (x/72)
Ratio of the man & shadow: (6/18)
*Note: Remember to consistently set the ratio. For me, I set it as the thing/man over the shadow. You can do the opposite, but both must be the same either (thing/person)/shadow, or shadow/(thing/person).
Set the ratios equal to each other, and cross multiply
(x/72) = (6/18)
(18x) = (6 * 72)
18x = 432
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 18 from both sides:
(18x)/18 = (432)/18
x = 432/18
x = 24
24 ft is the height of the lightpost.
The recipe has a ratio of 3 cups of sugar to 5 cups of flour. What is the unit rate of sugar to flour?
Answer:
3over 5
Step-by-step explanation:
lol its that simple
Answer:
zvck zvmv
Step-by-step explanation:
jim baked sugar cookies and peanut butter cookies he baked 8 sugar cookies and 3 times as many peanut butter cookies. what is the total number of cookies that jim baked?
Answer: 32 cookies
Step-by-step explanation:
8 times 3 is 24
24+8=32 cookies
Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.
Answer: x = 1
Step-by-step explanation:
we have
x tetras
3 goldfish
5 platies.
the total number of fishh in the bowl is x + 3 + 5
The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:
p = 3/(x + 3 + 5) = 1/3
3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3
9 = x + 3 + 5
x = 9 - 8 = 1
then wemust have that x = 1
because 1 + 3 + 5 = 9
and 3/9 = 1/3
Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.
Let daughter be x years old. Then, Shyam is (x + 28) years old.
So,
x(x + 28) = 204
=> x² + 28x = 204
=> x² + 28x - 204 = 0
=> x² - 6x + 34x - 204 = 0
=> x(x-6) + 34(x-6)
=> (x - 6) (x + 34) = 0
=> x - 6 = 0 or x + 34 = 0
=> x = 6 or x = -34
Since any age cannot be negative, daughter's age is 6 years old.
1) Which expression is a DIFFERENCE?
A) (6 - 4) x 5
B) 6 - (4 x 5)
9) 8 + (5 - 2)
D) (6 - 4)(3 - 1)
Answer:
B, a difference is a result of subtraction
— 3y + 4 = 31
What is the answer to this problem I don’t know
Answer:
y = -9
Step-by-step explanation:
— 3y + 4 = 31
Subtract 4 from each side
— 3y + 4-4 = 31-4
-3y = 27
Divide by -3
-3y/-3 = 27/-3
y = -9
Answer:
- 9
Step-by-step explanation:
Step 1:
- 3y + 4 = 31
Step 2:
- 3y = 27
Answer:
y = - 9
Hope This Helps :)
Convert 3.5×104 to standard form
From an elevation of 2.5 feet above sea level, a bird dives 4 feet to catch a fish. How far below the surface is the fish?
Answer:
1.5ft
Step-by-step explanation:
It starts at 2.5ft, it goes down 4ft.
Hence, subtracting 2.5ft from 4ft:
4ft - 2.5ft = 1.5ft below the surface
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When full, one of the pools at Sapphire Island will hold 43,000 gallons of water. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute. Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level. Explain the steps you used to write your equation.
The equation to determine the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity can be found using the following steps.
To write an equation that can be used to find the number of hours it will take to fill the pool from its current level, we need to use the following information:
The pool's capacity: 43,000 gallons
The current level of the pool: 20,000 gallons
The rate of filling the pool: 130 gallons per minute
We can start by using the formula:
time = (amount needed to fill)/(rate of filling)
The amount needed to fill the pool is the difference between the pool's capacity and the current level of the pool.
amount needed to fill = 43,000 - 20,000 = 23,000 gallons
Now we can substitute this value in the formula above:
time = (23,000 gallons)/(130 gallons/minute)
To convert the time to hours, we divide the time in minutes by 60
time = (23,000 gallons)/(130 gallons/minute) × (1 hour/60 minutes)
So, the equation that can be used to find h, the number of hours it will take to fill the pool from its current level is:
h = (23,000 gallons) / (130 gallons/minute) × (1 hour/60 minutes)
Note that this equation is not simplified, you can simplify it by canceling out common factors, you'll get:
h = (23000 / 130) × (1/60)
This equation can be used to find the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity.
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why is the term ""arc"" used to describe units of measure for angular distance
The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.
Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.
This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.
The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).
Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.
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(1 point) find the laplace transform f(s)=l{f(t)} of the function f(t)=e3t−18h(t−6), defined on the interval t≥0. here, h(t) is the unit step function (heaviside).
The Laplace transform of the function f(t) = e^(3t) - 18h(t-6) can be found using the properties of the Laplace transform and the definition of the unit step function.
To find the Laplace transform, we split the function into two parts. The first part is e^(3t), which has a Laplace transform of 1/(s-3) due to the Laplace transform property e^(at) ⇔ 1/(s-a). The second part is -18h(t-6), where h(t-6) is the unit step function shifted by 6 units to the right. The Laplace transform of the unit step function h(t-a) is 1/s multiplied by e^(-as), which gives us 1/s * e^(-6s) in this case.
Combining the two parts, the Laplace transform of f(t) is given by F(s) = 1/(s-3) - 18/(s) * e^(-6s).
In summary, the Laplace transform of f(t) = e^(3t) - 18h(t-6) is F(s) = 1/(s-3) - 18/(s) * e^(-6s), where F(s) is the Laplace transform of f(t) with respect to the variable s.
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what is the time complexity of finding a source in a directed graph or to determine such a source does not exist if the graph is represented by its adjacency matrix?
The time complexity of finding a source in a directed graph or determining such a source does not exist if the graph is represented by its adjacency matrix is V².
If a directed graph is represented by an adjacency matrix, the following approach may be used to either discover a source inside the network or establish that there isn't one:
Create an array named inDegree and fill it with the in-degree of each graph vertex (i.e., the number of incoming edges for each vertex).Using in-degree 0, search the vertex by traversing the inDegree array. There is no one source in the network if there are several vertices with in-degree 0.If an in-degree 0 vertex is discovered, we then look to see if there is a path connecting it to every other vertex in the graph.This approach has an O(V²) time complexity, where V is the number of graph vertices. This is due to the fact that it takes O(V²) time to traverse the whole adjacency matrix in order to determine each vertex's in-degree. The next step requires traversing the inDegree array in O(V) time in order to discover a vertex with in-degree 0. In the worst scenario, it takes O(V²) time to determine if there is a path connecting this vertex to every other vertex.
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