Solve for x0.625x+0.25=0.5x+0.625
Answers
0.625x+0.25=0.5x+0.625
Move the x terms to the left:
0.625x-0,5x = 0.625-0.25
Combine like terms:
0.125x= 0.375
Divide both sides by 0.125
0.125x/0.125 = 0.375/0.125
x= 3
Related Questions
Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
Answers
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answers
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
\(x *\frac{2}{3} =20\)
The measure of DE (x) is multiplied by the scale factor of \(\frac{2}{3}\) to become 20.
Solve for x:
\(x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30\)
DE = 30
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answers
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Marca con aquellas que sí lo sean y justifica porqué sí son funciones exponenciales o porqué no. 1 punto cada espacio correcto. Total 22 puntos
FUNCIÓN
JUSTIFICACIÓN
f(x)=( 1/( 2) )^x
g(x)=2^x
h(x)=1-2x
j(x)=x^3-1
k(x)=5^x
EJERCICIO 2: Identifique el valor de la base de cada una de las siguientes funciones exponenciales y además indique su monotonía diciendo si la función es creciente o decreciente.
FUNCIÓN
BASE
MONOTONÍA
f(x)=( 3/( 2) )^x
g(x)=〖1,1〗^x
h(x)=( 2/( 3) )^x
k(x)=〖0,75〗^x
m(x)=3^x
n(x)=e^x
Answers
Answer:
Ejercicio 1
Las funciones exponenciales son;
\(f(x)= \left (\dfrac{1}{\left (2 \right )} \right )^{x}\)
\(g(x)= 2^{x}\)
\(h(x)= 1- 2^{x}\)
\(k(x)= 5^{x}\)
La función que no es exponencial se da de la siguiente manera;
\(j(x)= x^3- 1\)
Exercise 2
a) \(La \ base= \dfrac{3}{2 }\)
La función está aumentando ya que la base> 1
b) La base = (1,1)
La función aumenta a medida que la base> 1 es igual a 1
c) \(La \ base = \dfrac{2}{3 }\)
La función está disminuyendo ya que la base <1
d) La base = 0,75
La función está disminuyendo ya que la base <1
e) La base = 3
La función aumenta a medida que la base> 1
f) La base = e
La función aumenta a medida que la base> 1
Step-by-step explanation:
Una función exponencial es una función en la que la variable independiente está presente en el exponente de la función
Las funciones se expresan de la siguiente manera;
\(f(x)= \left (\dfrac{1}{\left (2 \right )} \right )^{x}\)
La función tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(g(x)= 2^{x}\)
Del mismo modo, la función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(h(x)= 1- 2^{x}\)
La función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial
\(j(x)= x^3- 1\)
En la función anterior, la variable independiente no está en el exponente, por lo tanto, no es una función exponencial
\(k(x)= 5^{x}\)
La función anterior tiene la variable independiente en el exponente, por lo tanto, es una función exponencial.
Exercise 2
a)
\(f(x)= \left (\dfrac{3}{\left (2 \right )} \right )^{x}\)
\(La \ base = \dfrac{3}{2 }\)
La función está aumentando ya que la base> 1
b) g(x) = (1,1)ˣ
The base = (1,1)
La función aumenta a medida que la base> 1
c)
\(h(x)= \left (\dfrac{2}{\left (3 \right )} \right )^{x}\)
\(La \ base = \dfrac{2}{3 }\)
La función está disminuyendo ya que la base <1
d) k (x) = (0,75) ˣ
La base = 0,75
La función está disminuyendo ya que la base <1
e) m (x) = 3ˣ
La base = 3
La función aumenta a medida que la base> 1
f) n (x) = eˣ
La base = e
La función aumenta a medida que la base> 1
Solve these please!!!
Answers
The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;
1. The area is about 15.16 units²
2. The coordinates of the points are;
(i) B(5, 8)
(ii) C(8.58, 4)
(ii) D(8,58, 1.21)
What is a quadrilateral?A quadrilateral is a four sided polygon.
1. The coordinate of the point C can be found as follows;
Let (x, y) represent the coordinates of the C, we get;
(x + 8)/2 = 5
x = 2 × 5 - 8 = 2
(y + 8)/2 = 6
y = 2 × 6 - 8 = 4
The coordinates ot the point C (2, 4)
The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)
Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)
The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13
CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;
(4 - y)/(2 - x) = -(5 - x)/(6 - y)
y - 4 = (-4/7)(x - 2)
y - 6 = (7/4)(x - 5)
(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6
x = (17/5) = 3.4
y = (7/4)((17/5) - 5) + 6 = 3.2
The coordinates of the point E is (3.4, 3.2)
The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)
Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)
Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)
Area of the figure is therefore;
13 + (1/2) × √(10.4) × √(1.8) ≈ 15.16 square units2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))
y - 6 = (1/3)·(x + 1)
y = (1/3)·(x + 1) + 6
The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2
Slope of the segment BE = -1/(-1/2) = 2
Equation of BE is; y - 4 = 2·(x - 3)
y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6
Therefore, x = 5
y = (1/3)·(5 + 1) + 6 = 8
The coordinates of the point B is (5, 8)(ii) Area of the triangle EBC = 24 unit²
EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20
Therefore;
BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)
(x - 5)² + (y - 8)² = 28.8
y = 4, therefore;
(x - 5)² + (4 - 8)² = 28.8
(x - 5)² = 28.8 - (4 - 8)² = 12.8
x = √(12.8) + 5
The coordinates of the point C is C(√(12.8) + 5, 4) ≈ (8.58, 4)(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)
x = √(12.8) + 5
Therefore;
y - 4 = (-1/2)((√(12.8) + 5) - 3)
y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21
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Can someone tell me the answers
Answers
Answer:
3rd one is correct
Step-by-step explanation:
Between which two consecutive whole number is V67 located? NEED HELP PLEASE
Answers
Answer:
betweennnnnnn 8 and 9!!! :)
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
Answers
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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how many times does 32 go into 400
Answers
Answer:
3.4
Step-by-step explanation:
Which describes the transformations applied in the figure above?
A. a counterclockwise rotation of 180 degrees and move 5 units to the left
B. 7 units right and a clockwise rotation of 90 degrees
C. 7 units left and a reflection about the x-axis
D. 7 units left and 2 units up
Answers
The statement that describes the transformations applied in the figure above include the following: C. 7 units left and a reflection about the x-axis.
How to reflect the quadrilateral based on the transformation rule?In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).
Based on the graph, the coordinates of point A are located at (-6, 1) in quadrant II.
By applying a translation to the A horizontally right by 7 units, the new coordinate A1 of quadrilateral ABCD include the following:
(x, y) → (x + 7, y)
A (-6, 1) → (-6 + 7, 1) = A1 (1, 1)
By applying a reflection over the x-axis to the coordinates of point A1, we have the following coordinates of the image A';
(x, y) → (x, -y)
Point A1 (1, 1) → A' (1, -(1)) = G' (1, -1)
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A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
Answers
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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find the perimeter of OQR
Answers
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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Chứng minh A -> B
(C^D)->A
(B^E)->F
D
C
Answers
Answer:
i know what is the correct answer
letter A
Step-by-step explanation:
o i know im genious btw can you brainliest me
The expression V2 (V2Z) is called _________ ?
Answers
The expression \(V^2 (V^2_Z)\) is called mean-square speed.
What is mean-square speed?In Mathematics and Science, mean-square speed is sometimes referred to as root-mean-square speed and it can be defined as a measure of the average value of square-speed of particles that are found in a molecule, gas, or liquid.
Mathematically, the mean-square speed of any particle is denoted or represented by this expression \(V^2 (V^2_Z)\).
This ultimately implies that, mean-square speed is always calculated as the square root of the average value of the squares of the speeds (velocities) of each particles in thermodynamics and kinetic theory of gases.
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Complete Question:
The expression \(V^2 (V^2_Z)\) is called ______?
How many cups are in 8 1/2 gallons?
Answers
The answer will be (75 0/5)
Hope my answer helps
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answers
Answer:
Its all of them or just 6
Step-by-step explanation:
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answers
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
Answers
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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Solve the system by graphing x+y=2 and x-3y=18
Answers
Danielle rented a canoe for 4 hours while on vacation. She paid a fixed hourly rate and a $55 damage deposit. The resulting cost was $123. What was the hourly cost to rent the canoe?
Answers
Answer:
The hourly cost is 17 dollars.
Step-by-step explanation:
1. Subtract the damage deposit from the total cost to get 68.
2. Divide 4 from 68 to get 17. Which is the hourly cost.
HELP IM TIMED. ILL MARK BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please help me with this question
Answers
Answer:
x = 110y = 62Step-by-step explanation:
xThe angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.
180° -x° = (60° +80°)/2
180 -70 = x . . . . . . . . . . . divide by °, add x-70
x = 110
__
yThe external angle where secants meet is half the difference of the intercepted arcs.
59° = (180° -y°)/2
118 = 180 -y . . . . . . . multiply by 2, divide by °
y = 180 -118 . . . . . add y-118
y = 62
3) Which value below would
have the most dots on a line
plot?
3
6.25
4.25
3
Your answer
6.5
6.25
3 co
3.5
6.5
4.25
* 1 point
5
4.25
7.25
5.5
Answers
The value that would have the most dots on a line plot is given as follows:
4.25.
What is a dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
A line plot is built from the dot plot, in which:
The input is each observation of the data-set.The output is the number of dots on the data-set.Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).
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When the product of 2 and 3 is subtracted from the sum
of 4 and 5, what is the difference?
Answers
Answer:
3
Step-by-step explanation:
product of 2 and 3 is 2x3 = 6
sum of 4 and 5 is 9
product of 2 and 3 is subtracted from the sum of 4 and 5 means
9 - 6 = 3
help!! I have problem to solve this question
Answers
Answer:
Step-by-step explanation:
\(\frac{x-1}{2} =t\\\frac{y-2}{3} =t\\\frac{z-3}{4} =t\\so~eq.~of~line~L_{1}~is\\\frac{x-1}{2} =\frac{y-2}{3} =\frac{z-3}{4} \\its~d.r's~are~2,3,4\\again~\frac{x-2}{1} =s\\\frac{y-4}{2} =s\\\frac{z+1}{-4} =s\\so~eq. ~of~line~L_{2}~is\\\frac{x-2}{1} =\frac{y-4}{2} =\frac{z+1}{-4} \\its~d.r's ~are~1,2,-4\\let ~the ~d.r's~of~line~perpendicular~to~both~L_{1}~and~L_{2}~be~a,b,c,~then~\\2a+3b+4c=0\\1a+2b-4c=0\\solving\\\frac{a}{3*-4-4*2} =\frac{b}{4*1-2*-4} =\frac{c}{2*2-3*1} \\\)
\(\frac{a}{-20} =\frac{b}{-4} =\frac{c}{1} \\d.r's~of ~reqd~line~is~-20,-4,1~or~20,4,-1\)
now you find the point of intersection.
then calculate the angle.
Kendra is saving money to go buy a new bike. She needs at least $120. Her mom gave her $25 to get started. Let m represent the amount of money Kendra still needs to save.
Answers
Answer:
Kendra still need at least at least 95 dollars for her bike
3/4-2/3=what does it equal
Answers
Answer:
1/12
Step-by-step explanation:
\( \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} \)
find the perimeter of the shape below
Answers
Answer:
It doesn't show the whole picture
Step-by-step explanation:
Which of the following is an example of a conditional statement?
Answers
Answer:
The correct answer is A, If I practice football, then I will improve.
solve the following equations for g:2(g-h)=b+4
Answers
Answer:
g=b+4+2h/2
explanation:
first expand the brackets
let g be the subject of the equation
