[tex]\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}} }[/tex]
[tex]\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}[/tex]
[tex]\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}} }}[/tex]
[tex]\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\green{ x=-2 } }[/tex]
Answer:
Step-by-step explanation:
simplify upper n lower fraction of LHS:
2^x+22^x+222^x
= 2^x*1 + (2*11)^x + (2*111)^x
= 2^x*1 + 2^x*11^x + 2^x*111^x
= 2^x*(1+11^x+111^x)
3^x+33^x+333^x
= 3^x*1 + (3*11)^x + (3*111)^x
= 3^x*1 + 3^x*11^x + 3^x*111^x
= 3^x*(1+11^x+111^x)
so LHS
= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))
= 2^x / 3^x
= (2/3)^x
RHS = 9/4
= (3^2/ 2^2)
= (3/2)^2
= (2/3)^(-2)
so x = -2
Si la aceleración de gravedad en la superficie de nuestro planeta es de 9,8m/s2, entonces ¿Cuál sería el peso de una persona de 50 kg de masa que se encuentre sobre su superficie?
Answer:
El peso de una persona de 50 kg de masa que se encuentre sobre la superficie del planeta es 490 N.
Step-by-step explanation:
La masa es la cantidad de materia que contiene un cuerpo, mientras que el peso es la acción que ejerce la fuerza de gravedad sobre el cuerpo.
El peso se define como el producto de la masa por la aceleración de la gravedad:
P= m*g
El peso del objeto variará de acuerdo a la fuerza de gravedad que actúa sobre este.
En el Sistema Internacional de Unidades (SI), la unidad del peso se expresa en Newton (N).
En este caso, la masa es 50 kg y la aceleración de la gravedad es 9,8 [tex]\frac{m}{s^{2} }[/tex]. Reemplazando en la definición de peso:
P= 50 kg* 9,8 [tex]\frac{m}{s^{2} }[/tex]
Resolviendo:
P= 490 N
El peso de una persona de 50 kg de masa que se encuentre sobre la superficie del planeta es 490 N.
Solve for x.
2x + 9 3x + 16
X =
[?]
Answer:
[tex]x=31[/tex]
Step-by-step explanation:
[tex]From~ the ~given ~figure~ the~ sum ~of ~two~ angles~ is ~180[/tex]
[tex]so, 2x+9+3x+16=180[/tex]
[tex]5x+25=180[/tex]
[tex]5x=180-25[/tex]
[tex]5x=155[/tex]
[tex]x=31[/tex]
---------------------------
hope it helps...
have a great day!!
Answer:
x = 31
Step-by-step explanation:
hope it helps...
Jed is pouring water into a container at a constant rate of 8.25 ounces per second. There are already 24.75 ounces of water in a container. How many
ounces of water will be in the container after 5 seconds?
29.75 ounces
33 ounces
49.5 ounces
66 ounces
Answer:
66 ounces
Step-by-step explanation:
24.75 + (8.25 x 5) = 24.75 + 41.25 = 66
Answer:
66 ounces
Step-by-step explanation:
To solve this, set up a fraction. Let "x" be the ounces of water after 5 seconds.
[tex]\frac{8.25}{1}=\frac{x}{5}[/tex]
Step 1: Switch sides
[tex]\frac{x}{5}=\frac{8.25}{1}[/tex]
Step 2: Apply rule: [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{5}=8.25[/tex]
Step 3: Multiply both sides by 5
[tex]\frac{5x}{5}=8.25\cdot \:5[/tex]
Step 4: Simplify
[tex]x=41.25[/tex]
Now we have found the ounces of water in the container after 5 seconds, but already, there are 24.75 ounces before the ounces after 5 seconds. So to find the total add the given data to the found result
Step 1: Add 24.75 to 41.25
[tex]24.75 + 41.25 = 66[/tex]
Therefore, there are 66 ounces after 5 seconds when 24.75 ounces are already in the container.
I made 10 and three fifths gallons of soup of which 6 and one quarter gallons was chicken noodle. How much was not chicken noodle soup
The amount that was not chicken noodle soup is 4 7/20 gallons.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case,the person made 10 and three fifths gallons of soup of which 6 and one quarter gallons was chicken noodle.
The fraction that that chicken noodle will be:
= 10 3/5 - 6 1/4
= 10 12/20 - 6 5/20
= 4 7/20.
Therefore, 4 7/20 gallons wasn't chicken noodle soup.
Learn more about fractions on:
https://brainly.com/question/17220365
#SPJ1
If an = n(an - 1) + 5 and a1 = 4, what is the value of a5?
Answer:
1024
Step-by-step explanation:
4 x 4 x 4 x 4 x 4 =
1024
What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!
Answer:
The pythagorean theorem is a^2 + b^2 = c^2
Step-by-step explanation:
Not sure what you're asking! Sorry! :)
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green,
four pieces are yellow, two pieces are purple, and three pieces are red. She draws one
piece of candy from the bag at a time and eats it.
a. What is the probability that Chelsey will draw out three pieces of candy in this
order: red, green, yellow? (3 points)
b. What is the probability that Chelsey will draw out three pieces of candy in this
order: green, yellow, red? (3 points)
c. What is the probability that Chelsey will draw out three pieces of candy in this
order: yellow, red, green? (3 points)
d. Make a conclusion about how the order in which she draws out the red, green,
and yellow pieces affects the probability. (3 points)
Answer:
A) 3/110
B) 3/110
C) 3/110
D) The order doesn’t matter as long as you are drawing out the same three colors. The probability doesn’t change.
Step-by-step explanation:
A) 3/12x3/11x4/10=36/1320= 9/330 = 3/110
B) 3/12x4/11x3/10=36/1320= 9/330 = 3/110
C) 4/12x3/11x3/10=36/1320 = 9/330 = 3/110
D) The order doesn’t matter as long as you are drawing out the same three colors. The probability doesn’t change.
I hope this helps! Have a good day (PLZ GIVE BRAINLIEST)
[ GIVING BRAINLIEST ]
What do you call this TRIANGLE?
A. Equilateral B. Isosceles C. Scalene
Answer:
scalene
Step-by-step explanation:
um just trust me
Ashley drew the triangle LMN on the grid below
What is the area of triangle LMN?
Answer:
B. 27 square units
Step-by-step explanation:
Area of ∆LMN = ½(base*height)
base = MN = 6 units
height = distance from L to MN = 9 units
Plug in the values into the formula
Area of ∆LMN = ½(6*9)
Area = ½(54)
Area = 27 square units
A pizza restaurant has 63 and 2/3 cups of flour. Each batch of pizza dough uses 5 and 1/4 cups of flour. About how many batches of pizzas will they be able to make.
Answer:
12
Step-by-step explanation:
find the value of x. round the length to the nearest tenth
Answer:
a
Step-by-step explanation:
i think a im nt sure s0rry
PLS HELP ME ITS DUE IN 15 MINS !! BRAINILIST WILL BE GIVEN!!
Answer:
What's the exercise
Step-by-step explanation:
You didn't post anything please re-submit so I can help you
50 points! Which expressions are equivalent to (see image)? Select three
Answer:
Option 4
Step-by-step explanation:
[tex]5( \frac{1}{3} x + 7) - 3( \frac{1}{2} x - 4)[/tex]
[tex] \frac{5}{3} x + 35 - \frac{3}{2} x + 12[/tex]
[tex] \frac{5}{3} x - \frac{3}{2} x + 35 + 12[/tex]
[tex]2 \times 5x - 3 \times 3x \div 3 \times 2 + 47[/tex]
[tex] \frac{10x - 9x}{6} + 47[/tex]
[tex] \frac{x}{6} + 47[/tex]
Answer:
Solution given:
5(⅓x+7)-3(½x-4)
distribute it
[tex] \frac{5}{3} x+35-\frac{3}{2}x+12[/tex]
[tex] \frac{5}{3} x-\frac{3}{2}x+35+12[/tex]
[tex] \frac{5*2-3*3}{3*2} x+47[/tex]
[tex] \frac{1}{6} x+47[/tex] is a required answer.
Find the value of x.
:]]
Answer:
x= 10 degrees!
Step-by-step explanation:
All angles add up to 180 :]]
So just subtract everything from 180 and find x which is 10
Jimy traveled the entire route of the parade, but his suster Jemima only traveled along Elm Street. How much further did Jimmy travel than Jemima?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Jimmy \to[/tex] Entire Route
[tex]Jemima \to[/tex] Elm Street
Required
How much more did Jim travel
The question is incomplete, as the resources to calculate the distance covered by both are not given.
To solve a question like this;
First, calculate the distance by both, then subtract the smaller distance
Take for instance, after calculating the distance, you have:
[tex]Jimmy= 850m[/tex]
[tex]Jemima = 500m[/tex]
The difference d is:
[tex]d = 850m - 500m[/tex]
[tex]d = 350m[/tex]
i.e. Jimmy traveled 350m much more
A baseball player has a batting average of 0.250, which means he gets a hit 25% of the time he is at bat. If he bats 450 times during the season, how many hits should he expect to get?
Answer:
112.5
Step-by-step explanation:
25% of 450 = .25 x 450 = 112.5
Place the indicated product in the proper location on the grid.
(2a^x+1/2b^x)^2
The expression [tex](2a^x + 1/2b^x)^2[/tex] will generally be located towards the upper right quadrant of the grid, with the term [tex]2a^x[/tex] positioned further to the right and the term [tex]1/2b^x[/tex] positioned further towards the top.
To determine the proper location of the expression [tex](2a^x+1/2b^x)^2[/tex] on the grid, let's analyze the components of the expression and their respective positions.
The given expression is [tex](2a^x + 1/2b^x)^2[/tex]. Breaking it down, we have two terms inside the parentheses: [tex]2a^x[/tex] and [tex]1/2b^x[/tex]. These terms consist of variables (a and b) raised to a power (x), along with coefficients (2 and 1/2) multiplying them.
On the grid, we can assign a specific axis for each variable: the horizontal axis for 'a' and the vertical axis for 'b'. The power 'x' indicates that the values will vary along these axes. Since we don't have specific values for 'a', 'b', or 'x', we cannot pinpoint exact locations on the grid.
However, we can make some general observations. The terms [tex]2a^x[/tex] and [tex]1/2b^x[/tex] will have different positions on the grid due to their coefficients. The term with the coefficient 2 will be relatively larger along the horizontal axis compared to the term with the coefficient 1/2, which will be relatively smaller along the vertical axis.
Hence, on the grid, we can expect the term [tex]2a^x[/tex] to be positioned towards the right side, while the term [tex]1/2b^x[/tex] will be positioned towards the top. The exponent '2' outside the parentheses indicates that the entire expression will be squared, so it will be further enlarged.
For more such questions on quadrant
https://brainly.com/question/28587485
#SPJ8
solve this Question
[tex]\huge {\mathfrak{\underline{Answer}}}[/tex] :
We know,that the measure of exterior angle of a triangle is equal to sum of measures of opposite interior angles,
So,
x = 71 + 48°x = 119°Therefore, Correct option is d. 119°
-------------------------------------------------
[tex]\mathrm{\#TeeNForeveR}[/tex]
GUYS PLS HURRY I NEED YOUR HELP
Answer:
C. The range of bagels
Step-by-step explanation:
An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out the 131313 least popular flavors. The shop makes 808080 cartons of each of the remaining flavors. It takes 222 cartons to get one liter of ice cream. How much total ice cream is in the cartons?
Answer: total 480 liters of ice creams is in the cartons
Step-by-step explanation: cuz yea
Help pls I have absolutely no idea how to solve this and I don’t know what the answer is
Answer:
similar but i dont know which one sorry
Step-by-step explanation:
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answer:
Solution given:
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
m∠ADC =?
Since diagonal BD bisect the angle <ADC
so
m∠ADB= m∠ADC
(4x-12)°=(3x+6)°
4x-3x=6-12
x=12+6
x=18°
again.
<ADB=m∠ADB+ m∠ADC=4×18-12+3×18+6=120°
So
the m∠ADC =120°
As it's a rhoumbus angles are equal
m<ADB=m<CDB4x-12=3x+6x=18m<ADC
4x-12+3x+67x-67(18)-6126-6120°I need help I only have 5 minutes left someone help me
Answer:
ITS C!!!! I hope u passss
Step-by-step explanation:
There are 5 red marbles and 18 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a red marble? Write your answer as a fraction in the simplest form.
The probability of choosing a red marble is:
Answer:
The probability will be number of Yellows divided by the total number of Marbles
Here there are 3 yellows and 11 marbles in total
The probability is
3/11
Puzzle One
In order to complete the following puzzle you will need to use your answers to fill
in the questions that follow. For example your answer to number one you will
have to fill in for number two and so on. Be sure to take your time as one mistake
will mess up the entire puzzlel Your code to break out of puzzle will be the final
answer to problem seven.
HELP!
Please please help please please help me please please help please please
Answer:
Q2) A 0.5//// B 0.11//// C 1.7//// D 1.15//// E 2.13//// F 4.1
The number of customers at JJ’s Hair Salon in February represented a 15% decrease from the number of customers in January.
A. Write an expression to represent the number of customers in February, using the variable j to represent the number of customers in January.
B. Simplify the expression you wrote for part A to a single term.
C. Using your answer from part B, explain, in words, how the number of customers in February is directly related to the number of customers in January, as a percent.
Answer:
Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
Write an equation of a line that passes through the point (2.3) and is parallel to the line y = 3/2 x + 5
Answer:
y = (3/2)x
Step-by-step explanation:
Parallel lines have the same slope only the constant in the slope intercept equation changes.
to find the new slope intercept, b, plug in the point (2, 3) and m = 3/2
3 = (3/2)(2) + b
3 = 3 + b
b = 0
The parallel line is
y = (3/2)x
What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth
Answer:
188.495 ≈ 188.5
Step-by-step explanation:
Use this formula A=2πrh+2πr2
Answer: 188.496 cm2
Step-by-step explanation:
2 y+4x=12
y=-2x-3
neither
perpendicular lines
parallel lines
Answer:
The answer is C. Parallel Lines
Step-by-step explanation:
Good Luck!