Solve for x if 2x + 13 + 4x = 7
A) x= -1
B) x= 3
C) x= 7
D) x= 4x
Answers
Answer:
x=4x is the answer of the question
Related Questions
Drag each expression to the correct location on the table.
Determine which expressions represent real numbers and which expressions represent complex numbers.
Answers
Answer:
Step-by-step explanation:
This is about understanding real and complex numbers.
Complex Numbers; 7 - 5i, √-6, 0 + 9i, , -i² + i³
Real Numbers; i⁶, 2 - 7i², -12, √(-5)²
Let's first define real and complex numbers.
A real number is any number that can be represented on a number line. That means it can be a rational or an irrational number. Meanwhile, Complex numbers are numbers that cannot be represented on a number line but instead take the form of x + yi, where x and y represent real numbers while the letter i next to y represents an imaginary part.The. expressions we are given are;
i⁶, 2 - 7i², 7 - 5i, √-6, 0 + 9i, -12, √(-5)², -i² + i³
i⁶ can be expressed as; i² × i² × i² . Now the square of an imaginary number is -1. Thus; i² × i² × i² = -1 × -1 × -1 = -1 which is a real number.2 - 7i²; we know that the square of an imaginary number is -1, Thus;
2 - 7i² = 2 - 7(-1) = 9 which is a real number.
7 - 5i; This is a complex number because it is of the form x + yi.√-6; This is a complex number because negative roots are only imaginary and not possible.0 + 9i; This is a complex number because it is of the form x + yi.-12 is a real number as it can be represented on the number line.√(-5)² = √25 = 5 which is a real number-i² + i³ can be expressed as; -i² + i(i²). Square of imaginary number = -1. Thus; -i² + i(i²) = 1 - 1i. This is a complex number.Read more at; https://brainly.com/question/16930811
A spinner is divided into 11 equal sections numbered from 0 to 10. You spin the spinner once. What is P(not even)
Answers
I hope this helps
The probability of not getting an even number when spinning the spinner once is \(\frac{5}{11}\).
You want to know the probability of not getting an even number when spinning a spinner divided into 11 equal sections numbered from 0 to 10.
Step 1: Identify the even numbers in the given range (0 to 10). The even numbers are 0, 2, 4, 6, 8, and 10.
Step 2: Count the number of even numbers. There are 6 even numbers in the given range.
Step 3: Calculate the total number of possible outcomes when spinning the spinner. There are 11 possible outcomes (0 to 10).
Step 4: To find the probability of not getting an even number (P(not even)), subtract the number of even numbers from the total number of outcomes. This will give you the number of odd numbers: 11 - 6 = 5.
Step 5: Now, divide the number of odd numbers by the total number of outcomes to find the probability: P(not even) = 5/11.
So, the probability of not getting an even number when spinning the spinner once is \(\frac{5}{11}\).
To know more about "Probability" refer here:
https://brainly.com/question/30034780#
#SPJ11
using the clausius‐clapeyron equation determine what variables related to the measured values would be graphed on the x and y axes, along with what m and b would represent.
Answers
In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.
Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.
The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.
The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.
By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.
To learn more about Clausius-Clapeyron equation click here:
brainly.com/question/13256548
#SPJ11
calculate the molecular weight of a gas with a density of 1.524 g/l at stp.
Answers
To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
Rearranging the equation, we get n = PV/RT.
Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.
Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.
To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:
1. Recall the ideal gas equation: PV = nRT
2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).
3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):
n/V = (1.524 g/L) / (22.4 L/mol)
4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):
M = (n/V) * (RT/P)
5. Substitute the values and solve for M:
M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)
6. Calculate the molecular weight of the gas:
M ≈ 32.0 g/mol
Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
Learn more about molecular weight at: brainly.com/question/27988184
#SPJ11
Express 10 miles in kilometers.
Answers
you may need to round this answer. :)
Q17.
Jim wants to buy 10 rolls of wallpaper
He sees these prices.
Wallpaper
Single roll £12. 50
Pack of 3 rolls
£34. 50
Pack of 5 rolls
€58. 75
What is the cheapest price for 10 rolls?
Answers
Step-by-step explanation: 10 Single roll $125
Pack of 3 roll, one will be $11.5 and 10 will be $115
Pack of 5 roll, one will be $11.75 and 10 will be $117.5
The vertices of triangle JKL are J(–2, 3), K(1, 6), and L(3, –2). Which type of triangle best describes triangle JKL
A. right scalene
B. non-right scalene
C. right isosceles
D. non-right isosceles
Answers
Answer:
Scalene triangle or right scalene triangle is correct
Step-by-step explanation:
Solve: 3x - 3 = x + 1
Answers
Hello !
Answer:
\(\Large\boxed{ \sf x = 2}\)
Step-by-step explanation:
Let's solve the following equation by isolating x.
\( \sf3x - 3 = x + 1\)
First, add 3 to both sides :
\( \sf3x - 3 + 3 = x + 1 + 3\)
\( \sf3x = x + 4\)
Now let's substract x from both sides :
\( \sf3x - x = 4\)
\( \sf2x = 4\)
Finally, let's divide both sides by 2 :
\( \sf \frac{2x}{2} = \frac{4}{2} \)
\( \boxed{ \sf x = 2}\)
Have a nice day ;)
(1 point) standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers. how many different standard plates are possible in this system? (assume repetition of letters and numbers is allowed.) your answer is :
Answers
Therefore ,there are 158,184,000 ways to create a license plate in this system.
What is combination ?A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.
According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.
The first number (the digits 1 through 9) can be obtained in nine different ways.
There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).
There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.
How many ways are there to get the next number? 10 ways\s.
Thus ,total options for obtaining a license plate:
9 x 26 x 26 x 26 x 10 x 10=158184000
Therefore ,there are 158,184,000 ways to create a license plate in this system.
To know more about combination , visit
https://brainly.com/question/27058178
#SPJ4
His CD collection went from 25 disks to 22 disks
Answers
Answer:
i-that doesn't help
Step-by-step explanation:
Given the vectors v and u, answer a. through d. below. v=6i +3j-2k u=7i+24j ** a. Find the dot product of v and u. u v = 114 Find the length of v. |v=7 (Simplify your answer. Type an exact answer, usi
Answers
a. To find the dot product of vectors v and u, we multiply their corresponding components and sum the results:
v · u = (6i + 3j - 2k) · (7i + 24j)
= 6(7) + 3(24) + (-2)(0)
= 42 + 72 + 0
= 114
Therefore, the dot product of v and u is 114.
b. To find the length (magnitude) of vector v, we use the formula:
|v| = √(v · v)
Substituting the components of v into the formula, we have:
|v| = √((6i + 3j - 2k) · (6i + 3j - 2k))
= √(6^2 + 3^2 + (-2)^2)
= √(36 + 9 + 4)
= √49
= 7
Therefore, the length of vector v is 7.
Learn more about multiply here;
https://brainly.com/question/30875464
#SPJ1
How to factor this expression: x^2-9?
Answers
Answer:
(x+3)(x-3)
Step-by-step explanation:
rewrite "9" as 3^2
so it is x^2-3^2
You use the difference of squares: a^2-b^2=(a+b)(a-b)
apply it: (x+3)(x-3)
Be Precise Two cylinders have the same volume of 845π cubic inches. The radius of Cylinder A is 13 inches and the radius of Cylinder B is 10 inches. Which cylinder is taller? How much taller? Express the difference in heights as a decimal.
Answers
Cylinder B is taller which is 3.45 inches more than cylinder A.
Volume of the cylinder:
A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases that are connected by a curved surface.
The formula for the volume of a cylinder is given by
V = πr²hWhere V is the volume of the cylinder, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.
Here we have
Two cylinders have the same volume of 845π cubic inches.
The radius of Cylinder A is 13 inches
Let 'h₁' be the height of th cylinder
By using the formula, V = π r² h₁
Volume of the cylinder A = π (13)² h₁ = 169πh₁
From the data, 169πh₁ = 845π
=> 169h₁ = 845
=> h₁ = 845/169
=> h₁ = 5
The radius of Cylinder B is 10 inches.
Let h₂ be the height
Volume of the Cylinder B = π (10)² h₂ = 100πh₂
From the data, 100πh₂ = 845π
=> 100h₂ = 845
=> h₂ = 8.45
The difference between the heights of the two cylinders
= 8.45 inch - 5 inch = 3.45 inch
Therefore,
Cylinder B is taller which is 3.45 inches more than cylinder A.
Learn more about Cylinders at
https://brainly.com/question/11813481
#SPJ1
the lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days and a standard deviation of 16 days. a distribution of values is normal with a mean of 266 and a standard deviation of 16. what proportion of pregnancies last fewer than 276 days? p(x < 276 days)
Answers
Proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.
Describe indetail about how to calculate proportion of pregnancies?Given, mean (μ) = 266 days and standard deviation (σ) = 16 days.
Let X be the length of pregnancies, then X follows the normal distribution with mean (μ) = 266 and standard deviation (σ) = 16.
We need to find the probability that a pregnancy lasts fewer than 276 days i.e. P(X < 276).
To find this probability, we standardize the variable X using the standard normal distribution formula:
z = (x - μ) / σ
where z is the standard normal random variable.
Substituting the given values, we get:
z = (276 - 266) / 16 = 0.625
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 0.625 is approximately 0.7340.
Therefore, the proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.
Explanation: This means that out of 100 pregnancies, around 73 pregnancies will last fewer than 276 days.
Learn more about Proportion of pregnancies.
brainly.com/question/15086320
#SPJ11
In the diagram of right triangle ABC shown below, AC = 59 and
length of x, to the nearest tenth.
Answers
Answer:
ɨ ċaռ't ɛxքʟaɨռ ɮʊt ɨt ɨs aċ=59x2
A number x is more than 9 units from 14
Answers
Answer:
X=9+14
X=23
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
x = 14+9 = 23
what is the image point (0,2) after a rotation of 90 degree counterclockwise about the origin
Answers
Answer:
I like to do mehndi is known as
.
When you rotate 90 degrees counterclockwise you have to switch the x and the y then change the sign to the original y which in this case will be 2.
A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Kiran says, "I calculated the volume of the image as 35 cubic inches, but I don't think that's right."
A. What might Kiran have done wrong?
B. What is the volume of the image
Answers
Answer:
she forgot the exponent on 3.5^3
Step-by-step explanation:
10 x 3.5^3 = 428.7428.75 u^3
The term "dilation" refers to a transformation. The volume of the dilated cube is 428.75 in³.
What is dilation?The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.
As it is given that the volume of the cube is 10 cubic inches, therefore, the side of the cube is,
\(\text{Volume of the cube} = a^3\\\\ 10 = a^3\\\\a =\sqrt[3]{10}\)
Now, we know that dilation always applies to dimensions, therefore the new dimension of the dilated cube will be,
\(\text{Side of the dilated cube} = \sqrt[3]{10} \times 3.5\rm\ in\)
Further, the volume of the dilated cube can be written as,
\(\rm \text{Volume of the Dilated cube} = Side^3\\\\\)
\(= (\sqrt[3]{10} \times 3.5)^3\\\\ = (\sqrt[3]{10})^3 \times (3.5^3)\\\\= 10 \times 3.5^3\\\\= 10 \times 42.875\\\\= 428.75\rm\ in^3\)
A.) The mistake that Kiran made is that she didn't take the cube of the scale factor.
B.) The volume of the dilated cube is 428.75 in³.
Learn more about Dilation:
https://brainly.com/question/2856466
find the L.C.M of the following
a.3and7
b.4and5
Answers
Answer:
a. 21
b. 20
Step-by-step explanation:
a. 3 and 7 are prime numbers, so their LCM is their product, 21
b.
4 = 2^2
5 = 5
LCM = 2^2 * 5 = 20
Answer:
a. 21
b. 20
Any help is appreciated. Thank you
Answers
Answer:
45 degrees
Step-by-step explanation:
Vertical angle 105, so we put it on the other side. We then do 105+30+(Angle 1)=180, because all lines add up to 180, and we get angle 1=45
please consider brainliest!
Answer:
45
Step-by-step explanation:
the line will be 180 degrees so we already got 30. Then we have two lines that seem to be vertical so both 105. You add 105+35=135 then 180-135=45
Jill's pulse beats 70 times How many times will it beat in 3 a minute. hrs?
Answers
Examine the equation.
-2(-x + 9) = 2(x - 9)
2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution
Answers
2.A photographer needs a frame for an 11 x 14 Inch picture, such that the total area is 180 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when...
Answers
Answer:
it’s not a it’s D
Step-by-step explanation:
i took the quiz and got it correct
Christopher rides his bike to and from school every day . The total distance he rides each day is 7 over 8 miles
Answers
Answer:
29.82
Step-by-step explanation:
First you have to do 127.8 divided by 60 to get how many miles he bikes a day, which is 2.13 Next, you multiply 2.13 by 2 weeks 2 weeks = 14 days So from then you do 2.13 x 14 which is 29.82 Chris bikes 29.82 miles in two weeks.
(i answered this question once and i used it from a friend but hope this helps)
Alan deposited $2500 in an investment account that pays an interest rate of 7. 8% compounded monthly. If he makes no other deposits or withdrawals, how much will he have in the account in 15 years? Round to the nearest dollar
Answers
Alan deposited $2500 in an investment account that pays an interest rate of 7. 8% compounded monthly. If he makes no other deposits or withdrawals, Alan will have $9,272 in the account in 15 years.
Given, Alan deposited $2500 in an investment account that pays an interest rate of 7.8% compounded monthly.
To find, We can use the formula for compound interest: A=P(1+r/n)nt, where A is the amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
Substitute the given values, we get; P = $2500, r = 7.8%, n = 12 (compounded monthly), and t = 15 years.
A= $2500(1 + (0.078/12))(12×15)
Using the formula above, we get that Alan will have approximately $9,271.57 in the account in 15 years, rounded to the nearest dollar it will be $9,272.
You can learn more about investment at: brainly.com/question/15105766
#SPJ11
if you form a triangle from three given angle measures, do you always get a unique triangle, or more than one triangle?
Answers
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
Know more about function here:
https://brainly.com/question/11624077
#SPJ8
Find the period and the amplitude of the periodic function. I'm awful with graphs :(
Answers
A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.
Amplitude:
The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values of a variable. In the previous text, the phase of a periodic function is called the amplitude.
X = A sin (ω[ t - K]) + b
A is the amplitude (or peak amplitude),
x is the oscillating variable,
ω is angular frequency,
t is time,
K and b are arbitrary constants representing time and displacement respectively.
According to the Question:
An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:
X= A/5* sin(1000.t + 120)
These oscillations have a certain amplitude. X values can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.
For theses cases X= A/5 respectively -A/5.
Therefore,
The amplitude is A/5.
For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.
Complete question:
Can I find the amplitude of this equation? A/5 *
use the distributive property 15(4n-2)=
Answers
Answer:
60n-30
Step-by-step explanation:
you would do 15 * 4n
that would give you 60. since 15 *4 is 60 and then you would just put the n
15*2 equals 30. You would make it a negative 30 since it is a negative 2.
then you would combine them and get the answer
60n-30
Hope this helps!
Susan said, "I multiplied 100 by 47, and then I removed one group of 47." Write an expression to represent how Susan solved 99x47. Then evaluate the expression.
Answers
Answer:
The expression of how Susan solved 99 × 47 is;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is;
99 × 47 = 4653
Step-by-step explanation:
The question relates to the simplification of the multiplication of two numbers by the use of a combination multiplication of one of the numbers, 'x', with the nearest 10s or 100s of the other number, 'y', followed by the subtraction or addition operation of the product between the number 'x' and the difference between the specified 10s or 100s and 'y';
The given information on how Susan solved the equation 99 × 47 can be presented as follows;
99 × 47 = (100 - 1) × 47 = 100 × 47 - 47
The expression of how Susan solved 99 × 47 is therefore presented as follows;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is therefore given as follows;
100 × 47 - 47 = 4700 - 47 = 4653.