Answer:
-7
Step-by-step explanation:
Answer:
\(6a {}^{2} - 19a + 10 \\ = 6a {}^{2} - (15 + 4)a + 10 \\ = 6a {}^{2} - 15a - 4a + 10 \\ = 3a(2a - 5) + 2(2a - 5) \\ = (2a - 5)(3a + 2)\)
it helps you a lot ☺️Thank you ☺️☺️☺️
What is the solution to the system of equations? y=2/3x+3 x = –2
Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)
Answer:
\(\boxed{(-2, \frac{5}{3} )}\)
Step-by-step explanation:
y = 2/3x+3
x = -2
Plug x as -2 in the first equation.
y = 2/3(-2) + 3
Solve for y.
y = -4/3 + 3
y = -4/3 + 3/1
y = -4/3 + 9/3
y = 5/3
The value of x is given already as -2.
The value of y is 5/3.
The solution to the system of equations is (-2, 5/3).
Classify -2x + 5 and state its degree
Coefficient of the variable = -2
The terms are -2x and 5
The constant is 5
The degree is 1
What is an algebraic expression?An algebraic expression can be defined as a type of mathematical expression that is made up of terms, coefficients, variables, constant numbers and factors.
Algebraic expressions are also composed of certain mathematical or arithmetic operations.
These operations are given as;
BracketMultiplicationDivisionAdditionParenthesesSubtractionFrom the information given, we have the algebraic expression as;
-2x + 5
Coefficient of the variable = -2
The terms are -2x and 5
The constant is 5
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One more than the product of 17 and Matt's savings
Use the variable m to represent Matt's savings.
Answer:
17m=2
Step-by-step explanation:
hey plz pick mine as the brainliest?
I’ll mark brainliest! Pls helpp
Answer:
60 yds
Step-by-step explanation:
10 + 15 + 4 + (10 - 4) + 20 + (20 - 15) = 60
Answer: 60 Yards
In this model, we have all sides except for two. In order to find the perimeter of this, you would need all sides.
To find the missing sides you can see that the lenght of the side on the left is 10 yards. And the entire right side is equal to that left side. So, to find the missing side x you would need to solve: x+10-4. So, x is 6.
Do the same for the top and bottom to get the other missing side that is perpendicular to the side that is 4 yards is 5 yards.
Now that you have the lengths of all of the sides, you can solve for the perimeter. You would do,
\(15+4+6+20+10+5=60\)
Please mark brainliest if correct :)
Evaluate 3(4-2) Thanks!! Will give out brainliest
Answer:
6
Step-by-step explanation:
3(4-2)
PEMDAS says parentheses first
3 ( 2)
Then multiply
6
Answer:
The answer is 6Step-by-step explanation:
3(4 - 2)
Solve the terms in the bracket first
That's
4 - 2 = 2
So we have
3( 2) = 6
Hope this helps you
hey please!! Thank you <33
Answer:
h÷2
Step-by-step explanation:
\(2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}\)
A restaurant plans to use a new food delivery service. The food delivery service charges $5.48 for every 2 meals delivered, plus a $3.50 service fee. What is the slope of this situation?
a:2.74
b:3.50
c:5.48
d:6.24
Answer: b. 3.50
it is the answer and hope it helps you
Alice has 1201 fair coins, while Bob only has 1200. If both flip all of their coins, what is the probability that Alice will flip more heads than Bob
To determine the probability that Alice will flip more heads than Bob, we can use the concept of binomial probability.
Let's consider the number of heads flipped by Alice as a random variable X, which follows a binomial distribution with parameters n = 1201 (number of trials) and p = 0.5 (probability of getting a head on a fair coin). Similarly, the number of heads flipped by Bob can be represented as a random variable Y, which follows a binomial distribution with parameters n = 1200 and p = 0.5.
To calculate the probability that Alice will flip more heads than Bob, we need to find P(X > Y). This can be done by summing up the probabilities of all possible values of X that are greater than the corresponding values of Y.
P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 1200 - 1200)
We can simplify this expression by noticing that P(X = k) = P(Y = k) for any given value of k.
Therefore, P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)
Using the binomial probability formula, the probability of getting exactly k heads out of n trials is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where C(n, k) represents the number of ways to choose k successes out of n trials, given by the binomial coefficient formula:
C(n, k) = n! / (k! * (n - k)!)
Now we can calculate the probability:
P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)
= [C(1201, 1201) * 0.5^1201 * 0.5^0] + [C(1201, 1200) * 0.5^1200 * 0.5^1] + ... + [C(1201, 601) * 0.5^601 * 0.5^600]
This calculation involves summing up a large number of terms, so it can be computationally intensive. However, we can approximate the probability by using methods such as Monte Carlo simulation or statistical software.
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A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is a 5 and
the second number is even?
Answer:
1/12
Step-by-step explanation:
i just did it and got 1/12 if the second number is even there are only gonna be 3 even numbers and if the second one is even you do 36/3 then you get 12 so it will be 1/12
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
What is the approximate length of the track in miles
Explanation
Opposite sides are 5 miles each and for each semicircle we have:
\(\frac{2\pi *\frac{1}{2}}{2}=\frac{\pi}{2}\text{ miles}\)Then the lenght of the track is:
\(5+5+\frac{\pi}{2}+\frac{\pi}{2}=10+\pi\)Approximately 13.1416 miles
how many ""words"" can be formed by rearranging inquisitive so that u does not immediately follow q?
Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
The given word is INQUISITIVE.
The total alphabets in the word INQUISITIVE is 11.
Let us first count the words without U and then insert U wherever applicable.
Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.
So permutations is 10!/4! = 151,200
Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.
Hence, Total number of words = 151,200*10
Total number of words = 1,512,000
Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
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if f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1).
if f(x) +\(x^{2}\) \([ f(x) ]^{5}\) = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)
f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.
f(x) + \(x^{2}\) \([ f(x) ]^{5}\) = 34
differentiate with respect to x :
f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) + \([ f(x) ]^{5}\) 2x = 0
putting x = 1
f' (1) + \(1^{2}\) . 5 \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0
f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0
f' (1) + 80 f' (1) = - 64
81 f' (1) = - 64
f' (1) = - \(\frac{64}{81}\)
thus , the f ' (1) is found.
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The equation D=200(1.16)^m models the number of total downloads,D, for an app Carrie created m month after its launch.Of the following,which equation models the number of total downloads y years after launch?
\(D = 200(1.16)^{(12y)}\) is the equation models the number of total downloads y years after launch.
What is equation?
In mathematics, an equation is a statement that two expressions are equal. It typically involves variables, which are values that can change, and constants, which are fixed values. Equations are used to represent relationships between variables and to solve for unknown values.
The given equation is \(D = 200(1.16)^m\) where D represents the total number of downloads and m represents the number of months after the app was launched.
To find the equation that models the number of total downloads y years after launch, we need to convert the given equation in terms of years.
We know that there are 12 months in a year. So, if we divide the time in months by 12, we get the time in years. Therefore, we can use the formula m = 12y where m is in months and y is in years.
Now, substituting m = 12y in the given equation,
\(D = 200(1.16)^{(12y)}\)
Therefore, the equation that models the number of total downloads y years after launch is \(D = 200(1.16)^{(12y)}\)
Option (d) represents the correct equation.
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please help with these i don’t understand them
Answer: the angle is FGE
Step-by-step explanation: So first you'll have to figure out what the letters are so you can change them.
SOLVING WORD PROBLEMS INVOLVING QUADRATIC INEQUALITIES:
As an architect, your job is to fulfill the requirements of the client. You are demanded by your client to have a plan or sketch in planting a garden and surrounding it with decorative stones. The desired length of the lot is 15 meters longer than its width. The area of the rectangular plot should not be more than 126 m^2.
Solution:
-15/2+√31.(3/2)i is the width of the garden.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
As an architect, your job is to fulfill the requirements of the client.
You are demanded by your client to have a plan or sketch in planting a garden and surrounding it with decorative stones.
Let width be x
The desired length of the lot is 15 meters longer than its width.
Length =x+15
The area of the rectangular plot should not be more than 126 m²
Area=Length×width
126=x(x+15)
126=x²+15x
x²+15x-126=0
Apply it in Quadratic formula.
x=-b±√b²-4ac/2a
a=1, b=15 and c=-126.
x=-15±√15²-4(1)(-126)/2(1)
x=-15/2+√31.(3/2)i.
Hence, the width of the garden is -15/2+√31.(3/2)i.
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On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.
On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.
Why is a curve negatively skewed?In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.
Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.
The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.
The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:
Mode > Median > Mean.
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The objective of keyword bidding is to: a.obtain the most profitable domain name. b.limit the amount of money the firm spends on search marketing. c.always be ranked first. d.get the best ranking for the lowest cost.
The objective of keyword bidding is to d. get the best ranking for the lowest cost.
Keyword bidding is a practice used in online advertising, specifically in pay-per-click (PPC) campaigns, where advertisers bid on specific keywords to display their ads in search engine results. The objective of keyword bidding is to achieve the best possible ranking for their ads while keeping the cost as low as possible.
Option (a), obtaining the most profitable domain name, is not related to keyword bidding. Domain names refer to the website address or URL and are not directly associated with keyword bidding.
Option (b), limiting the amount of money the firm spends on search marketing, is partially correct but not the primary objective. While controlling costs is important, the main goal of keyword bidding is to optimize the ranking and visibility of ads.
Option (c), always being ranked first, is not feasible for every advertiser. Search engine rankings are determined by various factors, including bid amount, quality score, and relevance. It is not guaranteed that an advertiser will always secure the top position.
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A baker baked some loaves of bread. 240 loaves were sold by the end of the day. The baker was left with 9/25 of the number of loaves that were baked. How many loaves of bread did the baker bake on that day?
Please do this in a easy way and explain no algebra
Answer:
The baker baked 375 loaves of bread that day.
Step-by-step explanation:
The baker baked a total of x loaves of bread.
240 loaves were sold by the end of the day.
The baker was then left with 9/25 of the number of loaves that were baked.
We get the equation:
x-240 = 9x/25
When you solve the equation, you will see that x=375.
Therefore, the baker baked 375 loaves of bread that day.
Solve this system by elimination:
−7x + y = −19
−2x + 3y = −19
Answer:
x = 2 and y = -5
Step-by-step explanation:
that is the solution above
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = t i t2 j 2 k
The velocity of a particle = i + 2t j
The acceleration of a particle = 2 j
The speed of a particle = \(\sqrt{1 + 4t^{2} }\)
Here,
The position function is, \(r (t ) = ti + t^{2} j +2k\)
We have to find, the velocity, acceleration, and speed of a particle with the given position function.
What is Velocity of a particle with the given position function?
The instantaneous velocity v(t) of a particle is the derivative of the position with respect to time. That is, v(t)=dx/dt.
Now,
The position function is, \(r (t ) = ti + t^{2} j +2k\)
The velocity of a particle = \(\frac{d r(t)}{dt}\)
\(r (t ) = ti + t^{2} j +2k\)
\(\frac{d r(t)}{dt} = i + 2t j\)
The acceleration of a particle = \(\frac{d^{2} r(t)}{dt^{2} }\)
\(r (t ) = ti + t^{2} j +2k\)
\(\frac{d r(t)}{dt} = i + 2t j\)
\(\frac{d^{2} r(t)}{dt^{2} }= 2j\)
The speed of a particle = \(| \frac{d r(t)}{dt}| = |v(t)|\)
\(\frac{d r(t)}{dt} = i + 2t j\)
\(|v(t)|=\sqrt{1 + 4t^{2} }\)
Hence, The velocity of a particle = \(i + 2t j\)
The acceleration of a particle = \(2 j\)
The speed of a particle = \(\sqrt{1 + 4t^{2} }\)
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What happened to the owl who swallowed a watch
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation:
What is equivalent to 2(1-x)+3x
Answer:
2(1-x)+3x = 2-x
Step-by-step explanation:
Distribute 2 to 1 and -x ---> (2-2x)+3x
Combine Like Terms ---> 2-x
So 2(1-x)+3x = 2-x
A line is parallel to the line 3y-15x+11=0 and passes through the point (5, 3). Which equation models the line?
A: x-5y+10=0
B: x+5y-20=0
C: y=5y+12
D: 5x-y-22=0
The equation for such line is 5x - y - 22 = 0, using properties of parallel line and slope of a line.
What are the properties of two parallel line ?
1. These lines never intersect each other.
2. These lines have same slope .
General Equation for a line :
y = mx +c
Where m is slope of a line and c in constant .
As in que , we are given one line ,
so we can find slope of that line , using differentiation
3dy/dx - 15 = 0
slope : (1dy/dx) = 5
From 2nd property :
Slope of another line = 5 and passing point is (5,3)
Put all these information in general equation for a line:
3 = 5*5 + c
c = -22
So, the equation for a line with slope (m):5, constant(c):(-22) is
y = 5x - 22
or 5x - y - 22 = 0
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Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
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What is true about the rise of all horizontal lines ?the rise is
Answer:
left to right
Step-by-step explanation:
Answer:
the slope is 0
Step-by-step explanation:
i know this because i asked a math teacher
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
B. y = 7.5x – 2
Step-by-step explanation:
Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
college courses at a large university, the probability that a student takes calculus and is on the dean's list is 0.083. the probability that a student is on the dean's list is 0.23. find the probability that the student is taking calculus, given that he or she is on the dean's list. please round the final answer to 2 or 3 decimal places.
The probability that the student is taking calculus and he or she is on the dean's list is 0.361.
From the data given in the question,
Let the probability that the student is on the dean's list be
P(Dean list) = 0.23
Let the probability that the student takes calculus and is also on the dean's list be
P(takes calculus and is on dean list) = 0.083
The probability that the student is taking calculus, given that he or she is on the dean's list can be calculated using the following equation.
P(of the student takes calculus given he or she is on the dean's) = P(takes calculus and on dean's list)/P(dean's list)
Hence;
P(of the student takes calculus given he or she is on the dean's) = 0.083÷0.23
Evaluating, the result is obtained as,
P(of the student takes calculus given he or she is on the dean's)) = 0.361
Hence, the required probability is 0.361
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