Answer: 2x+1
x
Step-by-step explanation:
Help
Question 1:
Are x2 and x like terms?
Are 4x and 2x like terms?
Are 2x and 2y like terms?
Are 3x2 and 6x2 like terms?
\( \large{ \tt{❃ \: EXPLANATION}} : \)
- \( \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}\)
Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted. For instance : We can say 4y and 5y are like terms as they have the same base i.e y Unlike terms are those which have the different base. Unlike terms can neither be added nor subtracted. For instance : We can say 4x and 6y are unlike terms as they have the different base i.e 4x has the variable x while 6y has the variable y.\( \large{ \tt{❊ \: LET'S \: START}} : \)
No , x² and x are not like terms since they don't have same base.Yes , 4x and 2x are like terms since they have the same base.No , 2x and 2y are not like terms since they have different base. Yes , 3x² and 6x² are like terms since they have the same base .\( \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}\)
۵ Hope I helped ! ツ
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Factor the expression using the common factor −6 . −12x−18y−3.6 Drag a value or operation/sign to the boxes to correctly factor the linear expression.
Answer: 2 2 3 4 5
Step-by-step explanation:
Answer:
Hello I took the test the answer is -6(2x+3y+0.6)
Step-by-step explanation:
here's proof from k12 hope this helps
Eight names are randomly drawn from a hat at a party. Of those chosen, 2 had brown hair, 3 had blonde hair, 1 had red hair, 2 had black hair. Is this an example of biased or unbiased sample? If there are 200 guests at the party, how many can you predict will have blonde hair?
Of the 200 guests (or 75 people) will have blonde hair.
What is Probability?Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is used to quantify and analyse random phenomena.
This is an example of an unbiased sample, as the individuals were chosen randomly from a hat, without any preference or manipulation.
If 3 out of 8 people have blonde hair, we can estimate the proportion of blonde-haired individuals in the whole population by using this sample proportion.
Therefore, we can predict that approximately 3/8 of the 200 guests (or 75 people) will have blonde hair. However, it's important to note that this is only an estimate and the actual number may vary due to chance.
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In 1998, the population of country C was 38 million, and the exponential growth rate was 1% per year
Answer:
Step-by-step explanation:
Formula for the exponential graph is given by the function,
\(P(t) = P_0(1 + r)^t\)
Where \(P(t)\) = population after 't' years
\(P_0\) = Initial population
r = rate of increase
t = Number of years
In 1988, population of a country C was 30 million.
A). Function for the population will be,
\(P(t)=38(1+0.01)^t\)
\(=38(1.01)^t\)
B). Population in year 2020,
\(P(22)=38(1.01)^{22}\)
= 47.30 million
C). Doubling time means the duration in which \(P_0\) becomes \(2(P_0)\).
\(P(t)=2P_0\)
\(2P_0=P_0(1.01)^t\)
\((1.01)^t=2\)
By taking log on both the sides of the equation,
t[log(1.01)] = log2
t = \(\frac{\text{log}(2)}{\text{log}(1.01)}\)
= \(\frac{0.30103}{0.004321}\)
t = 69.66 years
write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through point (0,3,5)
The exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)
How to determine the equation?An exponential function is represented as:
\(y = b^x\)
The base is 3.
So, we have:
\(y = 3^x\)
It is stretched vertically by 2/3.
So, we have:
\(y = \frac23(3)^x\)
When reflected over the y-axis, we have:
\(y = \frac23(3)^{-x}\)
An asymptote of y = 2, makes the function becomes
\(y = \frac23(3)^{-x} + 2\)
Lastly, it passes through the point (0, 3.5).
So, we have:
\(y = \frac23(3)^{-x+h} + 2\)
This gives
\(3.5 = \frac23(3)^{-0+h} + 2\)
\(3.5 = \frac23(3)^{h} + 2\)
Subtract 2 from both sides
\(1.5 = \frac23(3)^{h}\)
Multiply by 3/2
\(2.25 = (3)^{h}\)
Take the logarithm of both sides
log(2.25) = h * log(3)
Solve for h
h = 0.74
Substitute h = 0.74 in \(y = \frac23(3)^{-x+h} + 2\)
\(y = \frac23(3)^{-x+0.74} + 2\)
Hence, the exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)
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which of the following is a polynomial 5x^2+3
The correct option regarding which option represents a polynomial is given as follows:
b. ii only.
What are polynomials?Polynomials are expressions that are given in the following format:
\(p(x) = a_nx^n + a_{n-1}x^{n - 1} + \cdots + a_1x + a_0\)
In which n is the degree of the polynomial.
The exponents n have to be all whole numbers for the expression to represent a polynomial, meaning that they cannot be negative neither fractions or decimal values.
Thus the only expression that represents a polynomial is:
ii. 5x³ + 3x² + x + 2.
The reasons for the expressions that do not represent a polynomial are given as follows:
Expression i: Negative exponents.Exponent iii: Fractional exponents, due to the root.Hence the correct option is given by option b.
Missing InformationThe problem is given by the image at the end of the answer.
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What is the radius and diameter of the following circle?
Radius = cm
diameter= cm
The value of diameter and radius of circle is 7 cm and 3.5cm.
According to the statement
we have given that the a figure of circle and we have to find the radius and the diameter of the circle.
So, We know that the
The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.
Here from the figure it is clear that the
Diameter of circle = 7cm
and the radius of circle we have to find
So,
Radius of circle = Diameter /2
Substitute the values in it then
Radius of circle = 7cm /2
Radius of circle = 3.5 cm.
So, The value of diameter and radius of circle is 7 cm and 3.5cm.
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Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.
Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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need help with the problem.
a school principal of 790 students needs to determine what percent of students passed and did not pass a state wide examination.Round to the nearest percent.
a. if 570 students pass the exam, what percent passed the test?
B. what percent didn't pass the test?
Answer 40% passed
and 50% failed
Step-by-step explanation:
Luggage checked-in at Airline A arrives on time to its intended destination with a probability of 0.63. In a random sample of 2000 bags, what would be the mean number of bags (out of the 2000) that arrive on time to its intended destination. Also find the standard deviation. Group of answer choices
Answer:
The mean number of bags that arrive on time to its intended destination is 1260 with a standard deviation of 21.59.
Step-by-step explanation:
For each bag, there are only two possible outcomes. Either it arrives on time to it's intended destination, or it does not. The probability of a bag arriving on time is independent of other bags. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
Luggage checked-in at Airline A arrives on time to its intended destination with a probability of 0.63.
This means that \(p = 0.63\)
In a random sample of 2000 bags
This means that \(n = 2000\)
Mean and standard deviation of the number of bags that arrive on time to its intended destination:
\(E(X) = np = 2000*0.63 = 1260\)
\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{2000*0.63*0.37} = 21.59\)
The mean number of bags that arrive on time to its intended destination is 1260 with a standard deviation of 21.59.
Find the area of the region bounded by the line y=3x−6 and line y=−2x+8.
b) the x-axis.
pls help
B = 12/5 units
We can find the intersection point between these two lines:
y = 3x - 6
y = -2x + 8
Set these two equations equal to each other.
3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
Formula for the Area of a Triangle:
B = 1/2bh
Substitute 2 for b and 14/5 for h.
B = (1/2) · (2) · (12/5)
Multiply and simplify.
B = 12/5
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
I hope this helps! o(〃^▽^〃)o
8 1/3 as a mixed number
Answer:
A Mixed number is 8 1/3
A Improper Fraction is 25/3
Step-by-step explanation:
The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224
The total cost of the new outfits for all the members is $264. So, the correct answer is option A.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.
Here, the cost of outfits for a person is
(21+26+6+13)=66
The cost of outfits for the four members is
66×4=$264
Therefore, option A is the correct answer.
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What is the probability of
spinning a yellow?
[?]%
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
The percentage of total variation in the dependent variable that is described by the independent variable is expressed by_________.
a. coefficient of determination
b. correlation coefficient
c. coefficient of covariation
d. regression coefficient
a. coefficient of determination
The percentage of total variation in the dependent variable that is described by the independent variable is expressed by coefficient of determination . So, correct answer is option (a).
The coefficient of determination R² is equal to the square of the correlation coefficient, r² expressed as a percentage, represents the percentage of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. Coefficient of determination is a statistical measure that examines how differences in one variable can be explained by differences in her second variable. In other words, this coefficient, commonly known as R-squared (or R²), measures how strong the linear relationship between two variables is. This coefficient is commonly known as the R-square (or R²) and is sometimes called the "goodness of fit". This measurement is expressed as a value between 0.0 and 1.0..
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why the factor 1.5 is broken into two numbers in the model.
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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2. Evan runs a t-shirt business. He sells shirts for $10. After selling 10 shirts, Evan has $70. Assume x represents the number of shirts sold, and y represents the profit, use this information to fill in the blanks in the statement: How much money did Evan have before he sold any shirts?
A) -$30
B) $30
C) $100
D) $0
Answer:
D
Step-by-step explanation:
The statement says that Evan sells shirts for $10 and after selling 10 shirts, he has $70. We know that the profit is the revenue (the amount of money earned) minus the costs. In this case, the revenue is the amount of money Evan earns from selling shirts and the costs are the amount of money Evan has spent on producing and buying the shirts. We can use this information to set up the equation y = 10x - c where y is the profit, x is the number of shirts sold, and c is the costs.
Given that Evan has $70 after selling 10 shirts, we can substitute 10 for x and 70 for y into the equation to get:
70 = 10(10) - c
Solving for c we get:
c = -30
This means that the costs were $30. To find out how much money Evan had before he sold any shirts we need to subtract the costs from the initial amount. Evan had $0 before he sold any shirts, so the answer is D) $0.
So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.
Answer:
We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?
15 days
Step-by-step explanation:
The half-life equation is given as
\(m(t) = m(0)e^{-0.073t}\) (1)
where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:
\(e^{-0.073t} = \dfrac{m(t)}{m(0)}\)
Taking the natural logarithm of both sides to get
\(\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right]\) (2)
Recall the following properties of logarithms:
\(\ln{A}^b = b\ln{A}\)
\(\ln{e} = 1\)
We can rewrite Eqn(2) as
\(-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right]\)
Solving for t, we get
\(t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right]\)
Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is
\(t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)\)
\(\:\:\:\:\:= 15\:\text{days}\)
Work out 10% of £95
Need explanation
Answer:
£9.50
Step-by-step explanation:
\(\frac{x}{95}\) × 100 = 10
\(\frac{x}{19}\) × 20 = 10
\(\frac{x}{19}\) = \(\frac{10}{20}\)
\(\frac{x}{19}\) = \(\frac{1}{2}\)
2x = 19
x = 9.5
This is the table answer this please
Answer:
so answer is b.42
Step-by-step explanation:
3 7
6 14
9 21
every time width increase by 3 length increase by 7 so:
12 28
15 35
18 42
Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
ype the correct answer in the box. Spell the word correctly.
n the 1800s, European nations looked to control other countries in part to expand trade networks and establish global military bases. This
policy was known as
Reset
Next
Answer:This policy is known as COLONIZATION.
Colonization refers to the action of settling down among foreign indigenous people and establishing control over them. Politically, this action is usually carried out by powerful countries. The Europeans were able to colonize Africa, America and India.
Step-by-step explanation:
for any two real numbers a and b and positive integers is n
You have the following expression:
\(-\sqrt[]{63}\)In order to simplify the previous expression, consider that 63 = 7*9 = 7*3^2.
Then, you have:
\(-\sqrt[]{63}=-\sqrt[]{7\cdot9}=-\sqrt[]{7\cdot3^2}=-3\sqrt[]{7}\)Hence, the simplified expression is
-3√7
What whole number value of n makes the equation
(27)3. 275
27
= 27 true?
Hey guys so I need help with my math homework what is 4/5 to 1/6 one third away from
Answer:
0.16
Step-by-step explanation:
 A sidewalk along side a garden at the Conservatory is to be 11 4/9 yards long. Rectangular stone tiles that are each 2 1/18 yard long are used to fall in the sidewalk. How many tiles were used?
Step-by-step explanation:
Convert the fractions in the yards given to decimals, because then you can divide the length of the sidewalk by the length of each tile. So 2/5 is 2 divided by 5 which equals .4. And 1/8 is 1 divided by 8 which is .125.
So, the sidewalk is 14.4 yards long and each tile is 1.125 yards long.
Divide the length of the sidewalk, 14.4 yards, by the length of each tile, 1.125 yards.
Equals 13.8 tiles, rounded off to 14 tiles.
Hope this helps.
14 2/5 = 72/5
1 1/8 = 9/8
72/5 = 576/40 divide by 45/40 = 576/40 x 40/45 = 23040/1800 = 12.8 tiles