sry i deleted my answer because i believe it was wrong..
What's the first term of the expansion of (x+y)9?
Daniela has a162 ounce bag of potting soil.she puts an equal amount of soil in 4 pots.how much soil will she put in each pot?how many ounces are left over ?explain how you know.
Answer:
40.5 ounces
Step-by-step explanation:
its pretty easy just dived 162 and 4 and you get the answer
Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
A = P(1+r)tn
The formula above is used to calculate compound interest. A represents the amount of money accumulated after n years, including interest; P is the initial principal amount (i.e.,
the initial amount deposited); stands for the annual rate of interest as a decimal; and t
represents the number of years and in the number of times the interest is compounded, per
year. If Serina deposits $500 in an account earning 5% interest compounded semiannually and keeps the money in her account for three years, how much money will she have at the end of the five years? Round your answer to the
nearest dollar.
A $515.00
B $530.00
C $670.05
D$710.10
Answer:
670.05
Step-by-step explanation:
Rounding to the nearest dollar, Serina will have $515 at the end of five years. Therefore, correct option is A.
To calculate the amount Serina will have at the end of five years, we can use the formula for compound interest:
A = \(P(1 + r)^{(nt)\)
Where:
A = the future value of the investment/loan, including interest
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
In this case, Serina deposits $500 with an annual interest rate of 5%, compounded semiannually (n = 2), and keeps the money in her account for three years (t = 3).
Plugging in the values, we get:
A = 500(1 + 0.05)⁶
A = 500(1.005)⁶
A ≈ 500(1.030)
A ≈ $515
Therefore, correct option is A.
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Question Collapse ^ Given slope (gradient) of a line is 3 and two points that lie on that line are N(-2,3) and D(3, d). Find the value of d.
The value of d is 18.
Given, the slope of the line is 3.
Slope equals a height change (Change in width) You may also say that a slope is a climb or a run. This formula changes if the graph's horizontal axis is represented by x and the vertical axis by y: Slope is equal to (y-change)/ (Change in x)
Two points which lie are N(₋2 , 3) and D(3,d)
slope of the line = y₂ ₋ y₁/x₂ ₋ x₁
let the points N(₋2 , 3) be (x₁ , y₁)
and D(3,d) be (x₂ , y₂)
therefore, 3 = d ₋ 3/3 ₋ (₋2)
3 = d ₋ 3/3 ₊ 2
3 = d ₋ 3 / 5
15 = d ₋ 3
d = 15₊3
d = 18
Hence we get the value of d as 18.
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What percent of 28 is 77?
Answer:
36.3636364%
or 36.36
Step-by-step explanation:
the Jones family received 19 pieces of mail on November 3. The mail consisted of letters, bills,magazines,and ads. How many letters did they receive if they received five more ads than bills, the same number of letters as magazines, and three more bills than magazines?
Answer:
2 letters.
Step-by-step explanation:
Consider the number of bills as x.
Since they recieve "5 more ads than bills" ads is x+5.
And since they recieved "three more bills than magazines," magazines is x-3.
And since they recieved the same number of magazines and letters, letters is also x-3.
bills=x
ads=x+5
magazines=x-3
letters=x-3.
19 pieces of mail = bills +ads + magazines + letters
plug in the information: 19 = x + (x+5) + (x-3) + (x-3)
group the x's and add the numbers: 19 = 4x -1
solve for x: x=5
We are still not done since x is the number of bills, not letters.
Plug the value of x into "letters = bills-3."
so...
Letters = 5 - 3
Letters = 2.
The Jones family received 19 pieces of mail on November 3 includes 2 number of letters, 5 number of bills, 2 number of magazines, 10 number of ads .
Let's break down the information given in the problem:
The Jones family received a total of 19 pieces of mail.
They received more ads than bills (specifically, 5 more ads than bills).
They received the same number of letters as magazines.
They received 3 more bills than magazines.
Let's use variables to represent the quantities:
Let A represent the number of ads.
Let B represent the number of bills.
Let L represent the number of letters.
Let M represent the number of magazines.
From the information given, we can set up the following equations:
A + B + L + M = 19 (total pieces of mail)
A = B + 5 (more ads than bills)
L = M (same number of letters as magazines)
B = M + 3 (3 more bills than magazines)
Now, let's solve this system of equations step by step:
From equation (4), we know that B = M + 3. We can substitute this into equation (2):
A = B + 5
A = (M + 3) + 5
A = M + 8
Now we have expressions for A, B, and L in terms of M:
A = M + 8
B = M + 3
L = M
Substitute these expressions into the total mail equation (equation 1):
A + B + L + M = 19
(M + 8) + (M + 3) + M + M = 19
4M + 11 = 19
4M = 8
M = 2
Now that we know M (number of magazines), we can find the other quantities:
L = M = 2
B = M + 3 = 5
A = M + 8 = 10
So, the Jones family received:
2 letters
5 bills
2 magazines
10 ads
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A teacher wants to split 5 crayons between 3 students equally.
How many crayons will each student get?
Answer:
1
Step-by-step explanation:
Divide the crayons into groups of 3 and since there's five crayons for 3 groups it would be
(1) (1) (1)
every student has to have a equal amount and five isn't equal when it comes to groups of 3 it would be a odd number.
You want to model the weather as a binomial random variable, with probability 25% of sun tomorrow, 50% of clouds, and 25% of rain. This is a possible binomial random variable, because the probabilities sum to 1, making it a good PMF O not a binomial random variable, because you have more than two outcomes Obetter modeled as a Poisson random variable O good for binomial modeling because the days are independent O Cannot determine from available information
The correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
A binomial random variable must have the following properties:
1. A fixed number of trials, n.
2. Two possible outcomes.
3. The outcomes should be independent of one another.
4. The probability of each outcome should be fixed for every trial.
Here, although conditions 3 and 4 are being fulfilled, we do not know anything about the number of trials. Most importantly, condition 2 is not fulfilled. There are three possible outcomes, and the weather can be modeled by a multinomial distribution if conditions 1, 3, and 4 are met. But not binomial.
So, the correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
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find the following quotient. when appropriate, round your answer to the nearest hundredth Divide 0 by 12
Answer: 0/12 would be 0; 12/0 would be undefined
Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.
A certain college had 3,000 students enrolled in
2015. The college predicts that after 2015, the
number of students enrolled each year will be 2%
less than the number of students enrolled the year
before. Which of the following functions models the
relationship between the number of students
enrolled, f (x), and the number of years after 2015,
x?
A. f(x) = 0.02x(3000)*
B. f(x) = 0.98x(3000)*
C. f(x) = 3000(0.02)*
D. f(x) = 3000(0.98)*
The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x, is D. f(x) = 3000(0.98)*.
What is a function?Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).
There are four main types of mathematical functions, including:
Constant Function, example, the polynomial function of degree zero.Linear Function, for example, the polynomial function of degree one.Quadratic Function, for example, the polynomial function of degree two.Cubic Function, the polynomial function of degree three.The number of students enrolled in 2015 = 3,000
The annual decrease in students enrollment = 2%
Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.
Let the number of years after 2015 = x.
Thus, the correction function is D. f(x) = 3000(0.98)*.
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Help me pls pls pls
Answer:
1.61
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.61
factorise:x^3-(y-z)^3
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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solve it and show full calculus.
thank you!
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
15 points! The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming magazine. The rest of the question is on the screenshot. Please help!
Answer:
Step-by-step explanation:
a). Mean of the given data set = \(\frac{32+28+18+40+22}{5}\)
= 28
b). x \(x-\overline{x}\) \((x-\overline{x})^2\)
32 32-28 = 4 16
28 28 - 28 = 0 0
18 18 - 28 = -10 100
40 40 - 28 = 12 144
22 22 - 28 = -6 36
\(\sum({x-\overline x})^2\) = 296
c). Standard deviation = \(\sqrt{\frac{\sum (x-\overline{x})^2}{n}}\)
= \(\sqrt{\frac{296}{5} }\)
= 7.69
d). Mean of the new set of weights = \(\frac{32+33+34+35+36}{5}\)
= 34
Since mean of the data set is more close to each data, standard deviation will be less than the deviation given in part (c).
The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Several students are competing in a science club competition to build a car that travels exactly 10 meters.
A. What is the absolute error of each race car?.
B.What is the percent error of each race car?.
C. Based on this information,what does a small percent error indicate?
D.Mark each of the following statements as true or false based on this data. __ Jerome has the smallest percent error.
___ Emily’s race car was the most accurate.
___ Emily and Marisela had a negative error because their cars traveled less than desired distance.
Answer:
I cannot see the question
Step-by-step explanation:
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
C = 5 over 9(F − 32)
C = 5/9 (F − 32)
To solve for F, first, we will multiply both sides by 9/5.
C × 9/5 = 5/9 (F − 32) × 9/5
9/5 C = F − 32
Now, we add 32 to both sides.
9/5 C + 32 = F − 32 + 32
9/5 C + 32 = F
F = 9 over 5C + 32
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
Please help and I will give brainlest
Answer:
approx 72 feet
Step-by-step explanation:
the left and bottom sides of the quadrilateral are easy to see that their sum is 15 + 20 or 35
however, from (40, 30) to (45, 40) you can use the distance formula
d = √(y - y)² + (x - x)²
d = √10² + 5²
d = √125 which is approx 11.1
from (20, 40) to (45, 40) you get:
d = √5² + 25²
d = √650 which is approx 25.5
Suppose the price elasticity of demand for cheeseburgers equals 0.37. This means the overall demand for cheeseburgers is:
The price elasticity of demand for cheeseburgers equals 0.37. This means the overall demand for cheeseburgers is price inelasticity.
What is inelastic demand?
An economic concept known as "inelasticity" describes an item or service's unchanging quantity while its price varies. When prices rise, consumers' purchasing patterns essentially stay the same, and when prices fall, those same purchasing patterns still hold true. This is known as inelastic demand.
If the price elasticity of demand for cheeseburgers is 0.37, it means that the demand for cheeseburgers is relatively inelastic.
In particular, the demand for cheeseburgers will decrease by 0.37% for every 1% increase in the price of cheeseburgers.
This means that consumers are not very responsive to changes in the price of cheeseburgers, and will still continue to purchase cheeseburgers even if the price goes up by a small amount.
Therefore, if the price of cheeseburgers increases, the overall demand for cheeseburgers will decrease, but only by a relatively small percentage.
Conversely, if the price of cheeseburgers decreases, the overall demand for cheeseburgers will increase, but again only by a relatively small percentage.
Therefore, the situation represents inelastic demand.
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Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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1+3^2⋅2−5 order of operations
Answer:
Below
Step-by-step explanation:
● 1 + 3^2 × 2 -5
Start by calculating 3^2 wich is 9
● 1 + 9 × 2 -5
Multiply 2 by 9 (9×2=18)
● 1 + 18 -5
Add 1 to 18 (1+18 = 19)
● 19 -5
Substract 5 from 19 (19-5 = 14 )
● 14
what are the solutions to z^3+8i=0
How do I solve this problem? Solve the following trig functions and express your solution in degrees.
Given the equation:
\(\sec 4\theta=2\)Let's solve the trigonometric function and express the solution in degrees.
The first step is to take the inverse secant of both sides:
\(\begin{gathered} 4\theta=arc\sec (2) \\ \end{gathered}\)Where:
Exact value of arcsec(2) = 60
Hence, we have:
\(4\theta=60\)The next step is to divide both sides by 4:
\(\begin{gathered} \frac{4\theta}{4}=\frac{60}{4} \\ \\ \theta=15^0 \end{gathered}\)I need helppppppppppppp pleaseeeeeeeee!!!!!!!!!!
A function that represent the number of pounds of dried meat left after x months is f(x) = 9,600(0.94)^x.
How to determine the number of pounds of dried meat after x months?In Mathematics and Statistics, a population or physical asset that decreases at a specific period of time represent an exponential decay. This ultimately implies that, a mathematical model for any population or physical asset that decreases by r percent per unit of time is an exponential equation of this form:
\(P(t) = I(1 - r)^t\)
Where:
P(t ) represents the future amount or value.t represents the time or number of months.I represents the initial amount of physical asset.r represents the exponential decay rate.By substituting the given parameters, we have the following:
P(t) = I(1 - r)^t
f(x) = 9,600(1 - 6/100)^x
f(x) = 9,600(1 - 0.06)^x
f(x) = 9,600(0.94)^x
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PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.