Answer:
8
Step-by-step explanation:
Question:
What is the greatest common factor of 32 and 40?
Find the factors of 32 and 40:
The factors are all the numbers the we can divide 32 or 40 by, and the result will be a whole number. Example:32/1= 32, 32/2= 16, yet 32/3 = 10.6 not a whole number so 3 is not a factor of 32.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Find the greatest factor that is common for both 32 and 40 ( the GCF):
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
GCF is 8
Solve the radical equation. Please explain each step in detail.
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
Even roots can NEVER have a negative result, therefore the value of x can ONLY be positive values.
en una expresion algebraica la reduccion de terminos semejantes se da entre los terminos de igual
Answer:990
990
990
990
990
990
Step-by-step explanation:
Answer:
Variable y exponente.
Step-by-step explanation:
En una expresión algebraica la reducción de términos semejantes se da entre los términos de igual variable o incógnita y exponente.
Por ejemplo:
3x² + 5x²
se pueden reducir pues tienen la misma variable x y el mismo exponente 2, su resultado se genera solo sumando, restando, los coeficientes, en este caso 3 y 5
3x² + 5x² = 8x²
En el caso:
3y² + 5x²
No se puede reducir pues la variable o incógnita no son iguales:
x≠y
En el caso:
3x² + 5x³
No se pueden reducir pues su exponente no es igual.
NEED HELP ASAP!!!
I am 20 years older than twice my daughter's age. How old is my daughter? ( 1. 17 years ago, I was half the age I am now. How old am I? - Part of 2.)
The daughter's age is 7 years old.
What is the equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a parent is 20 years older than twice his daughter's age, and he was half of his present age 17 years back.
Let the age of the parent be x,
He/she was half of the age 17 years back, then,
x/2 = x-17
x = 34
Therefore, parent's present age is 34 years.
He is 20 years older than twice his daughter's age,
Let his daughter's age be y,
2y+20 = 34
2y = 14
y = 7
Hence, his daughter's age is 7 years old.
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Write the expression as a single logarithm.
7log6z - 1/2log6x +3log6y
The value of the logarithm in one logarithm will be [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex].
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm,
7[tex]log_{6} z[/tex] + (1/2)[tex]log_{6} x[/tex] + 3[tex]log_{6}y[/tex]
Since,[tex]alog_{b}c = log_{b}c^\frac{1}{a}[/tex]
Thus,
7[tex]log_{6} z[/tex] + (1/2)[tex]log_{6} x[/tex] + 3[tex]log_{6}y[/tex] =d [tex]log_{6}z^7 +log_{6}x^\frac{1}{2}+log_{6}y^3[/tex]dddd
Since,[tex]log_{a}b+log_{a}c=log_{a}bc[/tex]
Therefore,
[tex]log_{6}z^7 +log_{6}x^\frac{1}{2}+log_{6}y^3[/tex]= [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex].
Hence "The value of the given logarithm in one logarithm will be [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex]".
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Explain how to find the distance between 1 and -3 on a number line.
Answer:
count backwards
Step-by-step explanation:
1, 0, -1, -2, -3
Answer:two ways
Step-by-step explanation: you can either count the spaces or you could just add until you get one of the answers -3 +4 =1 1- 4=-3
in the figure pictured below DF=3 BF =14 GF =8 find the lengths of:
A. cf
B. ef
C. ag
The lengths of CF, EF and A.F are 6 units, 28 units and 16 units, respectively
How to determine the lengths of these sides?From the question, the given parameters to solve the question are represented as
DF = 3
BF = 14
GF = 8
The point F in the triangle is the centroid of the triangle
This means that the point F divides the lines that passes through it in the ratio 1 : 2 or 2 : 1 (as the case may be)
The claim above also means that
CF = 2 * DF
EF = 2 * BF
A.F = 2 * GF
Substitute the known values in the above equation, so, we have the following representation
CF = 2 * 3 = 6
EF = 2 * 14 = 28
A.F = 2 * 8 = 16
Hence, the lengths are 6 units, 28 units and 16 units
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NEED AN ANSWER PLEASE HELP!!
Answer:
5.12
Step-by-step explanation:
If u times 1.6 and 3.2 you get 5.12 also i got it correct on my test
Need help asap! thanks
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the given expression is 1479.40
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Sum of [tex]2(\frac{4}{3})^n[/tex] from n = 0 to n = 6.
This can be written as,
= [tex]2(4/3)^0 + 2(4/3)^1 + 2(4/3)^2 + 2(4/3)^3 + 2(4/3)^4 + 2(4/3)^5 + 2(4/3)^6[/tex]
= 2 x 1 + 8/3 + 2 x 16/9 + 2 x 64/27 + 2 x 256/81 + 2 x 1024/243 +
2 x 4096/729
= 2 + 2.67 + 3.56 + 4.74 + 6.32 + 8.43 + 1458
= 1479.40
Thus,
The value of the given expression is 1479.40
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Kinda urgent
Will mark brainliest
:)
The function rule for the transformation of the graph f(x) = 2x
reflection over the x - axis (x, y) → (x, -y)
f(x) = -2xvertical compression of a factor of 1/4
g(x) = -x/2How to find the required transformationConsidering the given function f(x) = 2x that requires reflection and vertical compression
The transformation rule for reflection over the x - axis
(x, y) → (x, -y)
comparing to the equation y = f(x) = 2x
-y = -2x
hence f(x) = -2x
vertical compression involves multiplying by 1/4
= 1/4 * f(x)
= 1/4 - 2x
= -x/2
Hence g(x) = -x/2
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Write an expression to represent: 4 less than the quotient of x and 5.
x/5 - 4 represents 4 less than the quotient of x and 5.
Simplify quantity x squared plus 5 x plus 4 end quantity over quantity x plus 4 (5 points) x − 1 x + 1 x2 + 1 x2 − 1
Answer:
Step-by-step explanation:
there is no oblique asymptote
"Use the given conditions to write an equation for x-intercept = -3/8 and y-intercept = 4 Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any
"
Answer:
y - 4 = 32/3 x
Step-by-step explanation:
A (-3/8; 0)
B (0; 4)
slope = (4-0)/(0-(-3/8)
4/3/8
4 * 8/3
32/3
y-4 = 32/3 (x-0)
y -4 = 32/3 x
You are planning a picnic for Memorial Day. You need to buy enough hot dogs and hamburgers so that each of your 10 guests can have two servings. You determined that hot dogs cost $0.40 each and hamburgers cost $0.80 each. You have $12 to spend on the hamburgers and hot dogs. How many hot dogs and how many hamburgers should you buy?
Answer:
hamburgers cost $0.80 each
Step-by-step explanation:
20 points and brainliest
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 6 is an equation.
We have,
-2x + 8 = __x + 8
The equation has infinitely many solutions when both sides of the equation are equal.
Now,
-2x + 8 = -2x + 8 is equal on both sides.
Thus,
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
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. Lin's family has completed 60% of a trip. They have traveled 30 miles
How many miles is the trip?
A 50 miles
B. 48 miles
C. 30 miles
D. 18 miles
Answer: A 50 miles
Step-by-step explanation:
Its A becuase 60%=0.6 and 0.6 times 50 is 30 which means 60 percent of 50 is 30.
100 POINTS AND BRAINLIEST
For what values of c does the quadratic equation -x^2+4x+c=0
1. Have no real roots?
2. Have two roots with the same sign?
3. Have one negative root and one root equal to 0?
4. Have two roots with opposite sides?
Answer:its c
Step-by-step explanation:
Answer:
1. c < -4
2. -4 < c < 0
3. c = 0
4. c > 0
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.8 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}[/tex]
Given quadratic equation:
[tex]-x^2+4x+c=0[/tex]
Question 1If the quadratic equation has no real roots, then the discriminant is less than zero:
[tex]\implies b^2-4ac < 0[/tex]
[tex]\implies (4)^2-4(-1)(c) < 0[/tex]
[tex]\implies 16+4c < 0[/tex]
[tex]\implies 4c < -16[/tex]
[tex]\implies c < -4[/tex]
Question 2If the quadratic equation has two real roots, then the discriminant is greater than zero:
[tex]\implies b^2-4ac > 0[/tex]
[tex]\implies (4)^2-4(-1)(c) > 0[/tex]
[tex]\implies 16+4c > 0[/tex]
[tex]\implies 4c > -16[/tex]
[tex]\implies c > -4[/tex]
Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root. If c < 0 there would be 2 sign changes and therefore a maximum of 2 negative roots.
Therefore, for the two roots to have the same sign, -4 < c < 0.
Question 3If c = 0 then:
[tex]\implies -x^2+4x=0[/tex]
[tex]\implies -x(x+4)=0[/tex]
[tex]\implies x(x+4)=0[/tex]
Therefore, the roots would be 0 and -4 so there would be one negative root and one root equal to zero.
Question 4Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root.
Therefore, for the equation to have two roots with opposite signs, c > 0.
Simplify to create an equivalent expression 7n-(4n-3)
The expression 3(n + 1) is equivalent to the given expression 7n-(4n-3).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
7n - (4n-3)
We have to determine the equivalent expression
As per the question, we have
⇒ 7n - (4n-3)
Open the parentheses and distribute the negative sign,
⇒ 7n - 4n + 3
⇒ 3n + 3
⇒ 3(n + 1)
Thus, the expression 3(n + 1) is equivalent to the given expression.
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Im stuck on this ones i dont know how to get the answers
The measurements of [x] and [y] are 37 and 61 respectively.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are two triangles as shown in the figure.
Triangles ΔMPN and ΔSTU are congruent. We can write -
2x - y = 13
2x - 50 = 24
Now -
2x - 50 = 24
2x = 74
x = 37
then -
2 x 37 - y = 13
74 - 13 = y
y = 61
Therefore, the measurements of [x] and [y] are 37 and 61 respectively.
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Find the x-intercept of the line 14x–11y= – 1.
Answer:
x- intercept = - [tex]\frac{1}{14}[/tex]
Step-by-step explanation:
to find the x- intercept, that is where the line crosses the x- axis, let y = 0 in the equation and solve for x
14x - 11(0) = - 1
14x = - 1 ( divide both sides by 14 )
x = - [tex]\frac{1}{14}[/tex] is the x- intercept
A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.
The linear function that models the problem of movie theater sells popcorn is
y = 2.50x + 3.50 How to model the required equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The equation as described in the problem is represented using linear function as as follows
c = cost of the bucket = $3.50
m = cost of refills = $2.50
y = 2.50x + 3.50
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Please help this is URGENT
TQ/VQ=TV/VR is true for the given triangle. Option B is correct
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Two pairs of corresponding angles are equal
Three pairs of corresponding sides are proportional
Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
From these we can say that the sides TV is proportional to Rs and TQ is proportional to VQ
Hence, TQ/VQ=TV/VR is true for the given triangle. Option B is correct
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Write an equation of the line that passes through the pair of points. (5/12, −1), (−3/4, 1/6)
Answer:
[tex]y=-x-\frac{7}{12}[/tex]
Hope this helps!
4. Solve the quadratic equation 4x² + 7 = 25.
use the formula 「x= [-b±✓(b²-4ac)]/2a」a= 4, b= 0, c= -18x= [-0±✓(0²-4(4)(-18))]/2(4)x= 2.1213... , x= -2.1213...
Andrew decided so joys a tenner clench. Below is a chart that displays how many games of lenis he has played and the meatal cost of playing those panes. In this scenario, C ( y ) represents the total cost for playing games.
The linear function that represents the situation is of:
C(y) = 13y + 145.
The intercept is of:
C(0) = 145, meaning that the flat fee to pay the game is of $145.
What is the linear function?The slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the rate of change of the function.b is the y-intercept of the function, representing the initial value of the function.Two points of the function, from the table, are given as follows:
(8, 249) and (13,314).
The slope is given by the change in y of the two points divided by the change in x, hence:
m = (314 - 249)/(13 - 8) = 13.
Hence:
C(y) = 13y + b
When y = 8, C(y) = 249, hence the intercept b of the function is obtained as follows:
249 = 13(8) + b
b = 249 - 13 x 8
b = 145.
Meaning that the flat fee to pay the game is of $145.
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Multiply. 2u*3u^2 please help me
Answer: 6u^3
Step-by-step explanation:
You have to add the exponents when you multiply them.
But before that, you can multiply the coefficients of 2 and 3 so you get 6.
Now you have u and u^2 left.
u = u^1
u^2 = u^2
1+2 =3
I need help on my homework ASAP!! PLEASE HURRY I HAVE 20 MINUTES
Answer: 10) 18x+21 11) 20 + 30a 12) 8x + 10y
Step-by-step explanation:
Distributive property means to multiply each number within the parenthesis by the number outside of the parenthesis.
10) 3(6x + 7)
3*6x + 3*7
18x + 21.
With that, you should be able to see how the other questions were answered.
help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee
Answer:
500 rounded to the nearest tenth equal 500
how much would it cost to replace all the windows on all the building in the united states?
The cost to replace all the windows on all the building in the United States is $7,200,000.
What is the expression to find the total cost?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Given that the cost to replace a window is $3 per window. IT should be noted that when there are 2,400,000 windows, the cost to replace all the windows on all the building in the United States will be:
= Cost of replacement × Total window
= $3 × 2,400,000
= $7,200,000
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The cost to replace a window is $3 per window. If there are 2,400,000 windows, how much would it cost to replace all the windows on all the building in the United States?
(9√-81)(-10√64) is the answer -6480i? im confused
[tex]i=\sqrt{-1}[/tex]
Solving the Question[tex](9\sqrt{-81})(-10\sqrt{64})[/tex]
⇒ Take out i from the first square root:
[tex]= (9i\sqrt{81})(-10\sqrt{64})[/tex]
⇒ Evaluate the square roots:
[tex]= (9i\times9)(-10\sqrt{64})\\= (9i\times9)(-10\times 8)[/tex]
⇒ Multiply:
[tex]= (81i)(-10\times 8)\\= (81i)(-80)\\= -6480i[/tex]
Answer-6480i
Your friend bought a new pair of shoes. He said the regular price was $75 but he got a 40% discount from the sales clerk. What is the sale price of the shoes
Answer:
40% off of 75 is 45$
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).Multiply this new number by the percentage you want to take off.Subtract the number from step 2 from the original number. This is your percent off number.