Answer:
2*3*3*3
Step-by-step explanation:
Answer:
54 = 2×3^3
Step-by-step explanation:
Factor the following integer:
54
Hint: | Is 54 divisible by 2?
The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:
54 = 2 27:
54 = 2×27
Hint: | Now try to factor 27. Is 27 divisible by 2?
27 is not divisible by 2 since 27 is odd and 2 is even:
54 = 2×27 (27 is not divisible by 2)
Hint: | Is 27 divisible by 3?
The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:
27 = 3 9:
54 = 2×3×9 (9 is not divisible by 2 since 27 is not)
Hint: | Now try to factor 9. Is 9 divisible by 3?
9 = 3 3, which means 9 is divisible by 3:
9 = 3 3:
54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)
Hint: | Now try to factor 3. Is 3 prime?
No primes less than 3 divide into it. Therefore 3 is prime:
54 = 2×3×3×3
Hint: | Express 54 as a product of prime powers.
There is 1 copy of 2 and 3 copies of 3 in the product:
Answer: 54 = 2×3^3
PLEASE HELP!! Stuart invested $800 in a computer and now makes $5 a page typing research
papers. Let x represent the number of pages Stuart has typed, and let y
represent his profit.
a. Write an equation for y in terms of x.
Answer:
y = 5x - 800
Step-by-step explanation:
If x represents the number of pages typed, 5x will represent how much money he earns from typing them, since he gets $5 per page.
Then, 800 needs to be subtracted from this because he spent $800 on the computer.
So, the equation will be y = 5x - 800 to represent his profit.
Explain the difference between f(2) and f(x) = 2. Use a verbal explanation and create examples to make it very clear. Please help me out
Let x be a variable, and f(x) a function of that variable.
f(2) is a number ; it's the value of the function f(x) when x = 2, assuming that value exists.
f(x) = 2 is a statement ; it says there is some value of x for which the function returns a value of 2. Because it's a statement, it can be true or false.
Here's an example:
Define f(x) = sin(x). Then f(2) = sin(2) ≈ 0.909297.
If x is a real number, then the statement sin(x) = 2 is false, because -1 ≤ sin(x) ≤ 1 for all real x.
If we replace 2 with 1, on the other hand, we get
f(1) = sin(1) ≈ 0.84147
and
sin(x) = 1 ==> x = π/2 + 2nπ
where n is any integer. (So we're talking about numbers like π/2, -3π/2, 5π/2, -7π/2, and so on.) We're saying here that any real number x of the above form satisfies the equation and makes the statement true.
NEED HELP ASAP
given m||n find the value of x
Answer:
x=15
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
6x+8 = 7x-7
Subtract 6x from each side
6x+8-6x = 7x-7-6x
8 = x-7
Add 7 to each side
8+7 =x
15=x
[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]
[tex]\boxed{x \:= \:15}[/tex]
Which of the statements about the following quadratic equation is true?
6x² – 8 = 4x2 + 7×
Answer:
Its a quadratic eqn with complex roots
Answer:
The answer is A on edunuity.
Step-by-step explanation:
El operador de un elevador registro el numero de pisos que este subio y bajo en varias ocaciones para llegar a la planta baja hasta el piso 9 si en total se hicieron 5 movimientos 2 de bajada y 3 de subida que operacion podria indicar la cantidad de pisos que el elevador subio bajo en cada movimiento
Answer:
Supongo que en realidad dice
"... Para llegar de la planta baja hasta el piso 9..."
Ok, el elevador comienza en el piso 0, y llega hasta el piso 9 después de 5 movimientos.
De estos 5 movimientos, 3 suben (los podemos definir como positivos)
y 2 bajan (los escribimos como negativos).
Entonces, comienzo en 0.
0 + A + B + C - D - E = 9.
ahí dice que:
"desde el piso 0, tengo 3 subidas y dos bajadas de tal forma que el resultado final es el piso 9"
Una expresión algebraica matemática consta de variables y constantes junto con operaciones algebraicas. Al resolver problemas de palabras algebraicas, es necesario que los problemas se traduzcan con precisión en ecuaciones y se resuelvan correctamente.
Dado que:
Un operador quiere llegar al noveno piso superior desde la planta bajaEl número total de sus movimientos = 5 movimientosNúmero de movimientos hacia arriba = 3Número de movimientos hacia abajo = 2Para configurar una operación que indique el número de pisos que recorrió el ascensor con cada movimiento;
Vamos a considerar
el número de movimientos hacia arriba (es decir, elevado) será = (a)el número de movimientos hacia abajo (es decir, hacia abajo) para ser = (b)∴
Número de movimientos hacia arriba = 3 × a = 3aNúmero de movimientos hacia abajo = 2 × b = 2bAsí, la puesta a punto de la operación que indica el número de pisos que recorrió el ascensor con cada movimiento se puede deducir de la diferencia entre el movimiento de subida y bajada será igual a 9.
Por lo tanto, podemos concluir que la configuración de la operación es:
3a - 2b = 9
Obtenga más información sobre las expresiones algebraicas aquí:
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What is the distance traveled by a train moving at a rate of 45mph in t hours?
Answer:
45t = distance
Step-by-step explanation:
Distance = speed * time
Distance= 45 mph * t hours = 45t
48=56+8b solve for b
Answer:
b= -1
Step-by-step explanation:
48 =. 56 +8b
-56 -56
---------------------------------
-8 = 8b
Divide 8 on both sides
-1=b
• Answer:
b = - 1
• Step-by-step explanation:
48 = 56 + 8b
48 - 56 = 8b
8b = - 8
b = - 8 ÷ 8
b = - 1
Pls check if these are correct. 1) If the following statement true or false? Explain your reasoning. All integers are rational numbers. (1 pt.) - The statement is false because 0 is an integer but cannot be written as the ratio of two integers - The statement is true because all numbers are rational numbers ✅ The statement is true because any integer x can be written in the for x/1, which is the ratio of two integers - The statement is false because 1/2 is a rational number but not an integer 2) Which of the following must describe an irrational number?(1 point) ✅ A number with a non repeating and non terminating decimal expansion - A number with a non terminating decimal expansion - A number with a non repeating decimal expansion - A number with a repeating or terminating decimal expansion 3)Which axiom is used to prove that the product of two rational numbers is rational?(1 point) - Natural numbers are closed under multiplication - Whole numbers are closed under division ✅ Integers are closed under multiplication - Integers are closed under division 4) Without calculating, how do you know the product 2/21 x 3/31 is rational? (1 point) - The product of any two positive numbers is rational. - When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1. ✅ Rational numbers are closed under multiplication, meaning that the product of rational numbers is rational. - When multiplying fractions. the product of two fractions is rational so long as both fractions are fully reduced 5) What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point) ✅ 1/2 - 1/10 - 0 - 1 Thx if you help
Answer: please find the answer in the explanation
Step-by-step explanation:
1.) All integers are rational numbers.
The statement is false because 1/2 is a rational number but not an integer
2.) Which of the following must describe an irrational number?
- A number with a repeating or terminating decimal expansion.
3.) Which axiom is used to prove that the product of two rational numbers is rational?
Integers are closed under division
4.) Without calculating, how do you know the product 2/21 x 3/31 is rational?
When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1.
5.) What rational number, when multiplied by an irrational number, has a product that is a rational number? 1/10
Answer:
fraction
Step-by-step explanation:
correct on edge
Evaluate: -12x3 please help me with this
Answer:
-36
Step-by-step explanation:
12 * 3 = 36
When you multiply by a negative number, the number becomes a negative therefore, -12*3 = -36
Answer:
-36
Step-by-step explanation:
When multiplying a negative and a positive the answer is always going to be negative. So 12x3=36 and the 12 is negative and the 3 is positive, so the answer is -36.
Given that \tan\theta =\frac{12}{35}tanθ= 35 12 and that angle \thetaθ terminates in quadrant \text{III}III, then what is the value of \cos\thetacosθ?
Answer:
[tex]cos\theta = -\frac{12}{37}[/tex]
Step-by-step explanation:
Given
[tex]tan\theta = \frac{35}{12}[/tex]
Quadrant: 3rd
Required
Determine [tex]cos\theta[/tex]
This question will be solved using the Pythagoras theorem
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
The tangent of an angle is calculated as thus;
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Comparing
[tex]tan\theta = \frac{35}{12}[/tex] to [tex]tan\theta = \frac{Opp}{Adj}[/tex]
We can conclude that
[tex]Opp = 35[/tex] [tex]Adj = 12[/tex]
Substitute these values in the Pythagoras formula
[tex]Hyp^2 = 35^2 + 12^2[/tex]
[tex]Hyp^2 = 1225 + 144[/tex]
[tex]Hyp^2 = 1369[/tex]
Square root of both sides
[tex]Hyp = \sqrt{1369}[/tex]
[tex]Hyp = 37[/tex]
SInce [tex]\theta[/tex] is in the 3rd quadrant, then
[tex]cos\theta = -\frac{Adj}{Hyp}[/tex]
Where [tex]Adj = 12[/tex] and [tex]Hyp = 37[/tex]
[tex]cos\theta = -\frac{12}{37}[/tex]
let's f (x)= 3x - 7 find F (a + 2)
Answer:
3a-1
Step-by-step explanation:
Substitute
3(a+2)-7
Distribute
3a+6-7
Simplify
3a-1
Answer:
Hope it can help you and please mark me as a brainlist...
What is the slope? Look at the chart listed ✨
Answer:
m = -8/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(-70, 70)
(-10, -90)
Step 2: Find slope m
m = (-90 - 70)/(-10 + 70)
m = -160/60
m = -8/3
Jeremy is painting his room over the
summer. Here are 4 different wall
colors and 3 different trim colors.
How many different ways can he
paint his room?
Answer:
Jeremy has 12 ways of painting his room.
He has 4 different wall colors and 3 different trim colors, so, if we want to know how many ways does he have to paint his room, we only need to multiply:
4 * 3 = 12
That's why he has 12 ways of painting his room. That's because for each of the 4 different wall colors, there are 3 trim colors he can use.
Answer: 12 different ways
Step-by-step explanation:
The question is asking for a combination of a wall color and a trim color because his room required one wall color and one trim color.
In this case, combination will be the number of first kind multiplies with the second kind. This is similar to sketching a tree diagram but instead, we will be using numerical method which will be quicker.
If you are still confused, I will provide some examples.
You have 5 kind of bread and 4 kind of toppings, there will be 20 different ways to buy a pair (5×4=20)You have 5 different shoes, 3 different laces, and 2 different tops, there will be 30 different ways to match (5×3×2=60)This also applies to your question. You have 4 different wall colors and 3 different trim colors.
4×3=12
You have 12 different ways to paint the room
Hope this helps!! :)
Please let me know if you have any question
please answer question with explanation
Answer:
Domain: [tex]\{x|x\in\mathbb{R}\}[/tex]
Range: [tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]
Step-by-step explanation:
The domain is the span of x-values the graph covers.
The range is the span of y-values the graph covers.
The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.
Thus, the domain is all real numbers.
In set notation, this is:
[tex]\{x|x\in\mathbb{R}\}[/tex]
From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.
So, the range is all real numbers less than or equal to -2.
In interval notation, this is:
[tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]
And we are done :)
There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip? 6
Answer:
A
Step-by-step explanation:
So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.
The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.
The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.
So, the probability of pulling a chocolate chip cookie consecutively is:
[tex]\frac{1}{4}\cdot\frac{1}{5}=\frac{1}{20}[/tex]
Our answer is A :)
PLEASE HELP ME ON THIS IT IS URGENT IT IS GEOMETRY ILL MARK U THE BRAINLIEST DONT WASTE ANSWERS
Amal can run 1\8 mile in 1 1\2
if Amal can maintain that pace, how long will it take him to run 1 mile
Answer:36 minutes.
Step-by-step explanation:
Multiply 12 by 3. I have this for homework right now and this is what i got and it was correct. I hope this helped!
plz, help ASAP!!! WILL MARK YOU BRAINLIEST IF UR ANSWER IS CORRECT QUESTION #5
Answer:
D.
Step-by-step explanation:
The domain remains the same [a, b) and the range is [mc + n,md + n).
A map has a scale of 1:100,000 what is the map distance between two cities if the real distance was 20km
Step-by-step explanation:
I guess you mean 1cm:100000cm
Hence, for every 1 cm on the map 100000 cm is covered on the land.
Take the distance on the map for 20 km be x
Hence, 1:100000:: x: 2000000 cm
In order to solve this ratio, you must multiply the extremes and the moderates (nears).
Hence, 2000000×1=100000×x [1km=100000 cm]
Hence, 2000000= 100000x
Hence, x=2000000/100000 cm
Hence, x=20 cm
Hence, 20 cm on the map
The irrigation system for a farm sprays water in circular patterns. Each sprinkler is connected to a pipe in the center of a circle and rotates around that pipe. The largest sprinkler sprays water 20 feet. What is the circumference of the circle irrigated by this sprinkler?
Answer:
40 π ft or 125.6ft
Step-by-step explanation:
If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π
or 2r*3.14
The answer is either 40 π ft
or 125.6ft
A plant is 8 cm tall, and grows 3 cm taller each week. How tall will the plant be after 25
weeks?
Answer:
83 cm
Step-by-step explanation:
let's make an equation for this situation. The plant starts at 8 cm and grows 3 cm every week. If x represents time in weeks and y represents height in cm, then:
y = 8+3x
filling in 25 for x, we find that:
y = 8+75
y = 83 cm
Answer:83
Step-by-step explanation:
25 x 3 = 75
75 + 8 = 83
1. A man is paid $ 600 per week after a pay rise of 20 %. What was he paid before?
Answer:
y. 100
------ = -------
600. 120
120y= 60000
y = 60000÷ 120
= $500
Using the slope formula, find the slope of the line through the given points (3,3) and (1,1)
Answer:
1
Step-by-step explanation:
The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so when you plug in all of the numbers to where they are supposed to be you would get [tex]\frac{1-3}{1-3}[/tex] which is [tex]\frac{-2}{-2}[/tex] which can be simplified to [tex]\frac{1}{1}[/tex] which is just 1 and that would be our answer
What is the DOMAIN of the following relation? {(-5,4), (-4,2), (0,2), (1,3), (2,4)}
Answer:
{-5, -4, 0, 1, 2}
Step-by-step explanation:
The domain is the inputs or the x values
{-5, -4, 0, 1, 2}
Answer:
See below.
Step-by-step explanation:
The domain of a relation is all of the x-coordinates.
So we have the relation:
{(-5,4), (-4,2), (0,2), (1,3), (2,4)}
This means that the domain will be the following values:
{(-5,4), (-4,2), (0,2), (1,3), (2,4)}
So, our domain is:
[tex]\{-5, -4, 0, 1, 2\}[/tex]
Note that the domain is in ascending order.
(17 points and brainliest!) If the point (x, y) is in Quadrant IV, which of the following must be true? A. x > 0 and y 0 C. x > 0 and y > 0 D. x < 0 and y < 0
Answer:
x>0 and y<0
Step-by-step explanation:
Quadrant IV is the bottom right corner.
X would have to be positive and Y would have to be negative.
Quadrants are simply the axes of a 2D coordinate that divides a plane into four segments.
The true statement is that: (a) x > 0 and y < 0
First, we analyze each quadrant
Quadrant 1
x and y are greater than 0Quadrant 2
x is less than 0y is greater than 0Quadrant 3
x and y are less than 0Quadrant 4
x is greater than 0y is less than 0By comparing the above to the list of given options,
The true statement about quadrant IV is (a) x > 0 and y < 0
See attachment for illustration of quadrants
Read more about quadrants at:
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What subset of real numbers does 18.5 inches belong to?
Answer:
The correct answer is rational.
Step-by-step explanation:
The diameter of the tree belongs to the subset of rational numbers.
Natural numbers are the numbers 1, 2, 3 4, etc. Since 18.5 has a fractional/decimal component, it is not considered a natural number. Whole numbers include all of the natural numbers, as well as 0; therefore, 18.5 is not a whole number either.
Integers include all whole numbers as well as negative numbers, but the integer category still does not encompass numbers with a decimal component. For this reason, 18.5 is not an integer either.
Therefore, the only subset of numbers that 18.5 can fall under is rational numbers. A rational number is a number that can be represented as a fraction. 18.5 can be represented as 37/2 and is thus a rational number.
You can also refer to the infographic given in the question for further clarity on which subsets of numbers are more inclusive than others.
Hope this helps!
round three significant figures 12.3456
Answer:
12.3
Step-by-step explanation:
Round it where you have 3 numbers that are not 0.
12.3456
round to the hundredths place
12.34 (round to 4)
12.3 (3 sigfigs)
Answer:
12.4
Step-by-step explanation:
12.3456
first you would round the 5 to a 6, the round the 4 to a 5, because the six is greater than five, than you would change the 3 to a 4, because the four that was changed to a five now is big enough to change the number.
please help (20 points + brainlest)
Answer:
PT = 24
Step-by-step explanation:
PT = TQ
3x + 6 = 5x - 6
12 = 2x
x = 6
PT = 3(6) + 6
PT = 18 + 6
PT = 24
Answer:
24
Step-by-step explanation:
From the pic,PT=TQ
therefore,
3x+6=5x-6
5x-3x=6+6
2x=12
therefore, x=12/2
=6
therefore, PT=3×6+6
=24
b) If a, b, c are three rational numbers where a =
a = 3
3,6 = and c =
olů
Verify: a + (b + c) = (a + b) + C
Step-by-step explanation:
a =
a = 3
3,6 = and c =
olů
what is this please write this clearly
Find the number of ways of arranging the letters of the word MOSHOESHOE, if the letter M must always begin a word
Answer:
7560.
Step-by-step explanation:
There are 9 letters after the M consisting of 3 O's, 2 H's, 2 H's and 2 E's.
So the number of ways is 9! / (3!*2!*2!*2!)
= 362880 / (6*2*2*2)
= 362880 / 48
= 7560.
The number of ways the word MOSHOESHOE can be rearranged, if the letter M must always begin a word is 75,600 ways
Given:
MOSHOESHOE
n = total number of letters = 10
a = number of times O appears = 3
b = number of times S appears = 2
c = number of times E appears = 2
d = number of times H appears = 2
number of ways the word can be rearranged if M must always begin a word
= n! / (a! b! c! d!)
= 10! / (3!, 2!, 2!, 2!)
= (10 × 9 × 8 × 7 × 6 × 5 × 4× 3 × 2 × 1) / (3 × 2 × 1, 2 × 1, 2 × 1, 2 × 1)
= 3,628,800 / (6 × 2 × 2 × 2)
= 3,628,800 / 48
= 75,600 ways
Therefore, the number of ways the word can be rearranged if M must always begin a word is 75,600 ways
Read more:
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