Answer:
-6Step-by-step explanation:
[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]
Substitute : m=3 into the given equation
[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]
16. (x4 - 3x° – 7x - 14) = (x - 4) 4
Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
Answer:
Yes
Step-by-step explanation:
If y is the total cost, then this would be correct.
Introduction to Interval Notation
What is the domain and range?
2.
The domain of this function is 3≤x≤5 in interval notation that is [3,5]
The range is -3≤y≤3. In interval notation that is [-3,3]
4.
The domain of this function is -5≤x≤-1 in interval notation that is [-5,-1]
The range is 1≤y≤5. In interval notation that is [1,5]
:)
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed. What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving
Given :
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city.
Standard deviation , S.D = 3 miles per gallon .
To Find :
The probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving.
Solution :
We have to find the probability , [tex]P(X\leq 20)[/tex] .
Here , we will use the excel function
So ,
[tex]P(X\leq 20)=NORMADIST( 20, 27 , 3 , 1 )=0.009815[/tex] .
Therefore , probability is 0.009815 .
which systems of equations have no Solutions
Answer:
Inconsistent System of Equations
Explanation:
There is no solution for the system of equations that graphs as parallel lines.
Parallel lines never cross, therefore there is no intersection. This is an inconsistent system of equations.
The following quadratic equations can be solved by extracting square roots x²=36
Answer:
x= 6
Step-by-step explanation:
you can do 6 squared, which is also equal to 6 x 6
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answer: C
Step-by-step explanation:
What are the odds of two people having the same birthday?
Answer:
In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching. Put down the calculator and pitchfork, I don't speak heresy.
Step-by-step explanation:
10 friends share six pizzas equally. What fraction of a pizza does each friend get?
Answer:
10 friend=6 pizza now,
1 friend gets =10÷6
=5÷3
13times the difference of a number n and 20 is 322. Write as an equation.
Answer:
13(n-20)=322
Step-by-step explanation:
13 times n-20 equals 322
Which statement is true?
A function is a relation where each output value is assigned to exactly one input value.
The domain of a function is the set of all output values, or y-values, for which the function is defined.
The range of a function is the set of all input values, or x-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
To write the equation y = ax + b in function notation, substitute f(x) for y
Step-by-step explanation:
The only true statement is the last one.
__
A function assigns exactly one output value to each input value.
The domain is the set of all input, or x-values.
The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
Answer:
The last one: To write the equation y = ax + b in function notation, substitute f(x) for y.
Step-by-step explanation:
A relation is a mapping from a set of input values, called the domain, to a set of output values, called the range. In a relation, each element in the domain can be assigned to one or more elements in the range.
A function is a relation where each input value is assigned to exactly one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y, resulting in the function f(x) = ax + b.
Determine whether the given ordered pair is a solution to the system of equations.
Yes or no?
(6,-1)
x-y=3
2x+5y=6
Please help I can’t afford to fail this class :(
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO
The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
If you want to learn more about sets:
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A car driving at 50 miles per hour drives 2 hours. What distance did it cover?
Answer: It travels 100 miles
Step-by-step explanation:
If it drives 50 miles an hour it would drive 100 miles an hour if it were driving for 2 hours.
Based on the speed of the car and the amount of time it was travelling, the car travelled 100 miles in 2 hours.
The distance that the car travelled can be calculated by:
Distance = Speed x Time
Speed = 50 miles per hour
Time = 2 hours
Distance = 50 x 2
= 100 miles
In conclusion, the car would have gone 100 miles.
Find out more at https://brainly.com/question/22277265.
Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents the area of this rectangle, and then use the expression to find the area when b = 10. Select the correct answer from each drop-down menu. The expression that represents the area of this rectangle is . When b = 10, the area of the rectangle is square units.
Answer:
8b and 80
Step-by-step explanation:
Answer:
The expression that represents the area of this rectangle is 8b
When b = 10, the area of the rectangle is 80 square units.
Step-by-step explanation:
PLEASE HELP QUICK!!! 3x − 2(6 − x) = 7x + 2(5 + x) − 6
Answer:
it would be x=-4
hope i helped ya
Answer:
x = -4
Step-by-step explanation:
3x -2(6-x) = 7x +2(5+x) -6
Distribute -2 through the parentheses 3x -12 +2x = 7x +2(5+x) -6
Distribute 2 through the parentheses 3x -12 +2x = 7x +10 +2x -6
3x -12 +2x = 7x +10 +2x -6 cancel equal terms on both sides of the equation
3x -12 = 7x +10 -6 subtract the numbers 3x -12 = 7x +4
Move variable to the left left handed side and change its sign
3x -7x-12 = 4 --> 3x -7x = 4 + 12 --> -4x = 4+12 --> -4x = 16
Divide both sides of the equation by -4 --> x = -4
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)
Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156
Use logarithmic differentiation to find dy/dx. y = (x + 1)(x − 4)/ (x − 1)(x + 4) , x > 4 dy dx =
Answer:
dy/dx = (x + 1)(x-4)/(x-1)(x+4)[1/(x+1) + 1/(x-4) -1/(x-1) -1/(x+4)
Step-by-step explanation:
Here, we want to find the derivative using logarithmic differentiation.
What we will do here is to first take the natural logarithm of both sides, then we proceed to differentiate afterwards.
Please check attachment for complete solution and step by step explanation.
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
I NEED THIS ANSWER ASAP DUE IN 3 HOURS!!!!!
3x+4=17x-10 what is x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]3x+4=17x-10[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=17x-10-4[/tex]
[tex]3x=17x-14[/tex]
Subtract 17x from both sides:
[tex]3x-17x=17x-14-17x[/tex]
[tex]-14x=-14[/tex]
Divide both sides by -14:
[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]
[tex]x=1[/tex]
Answer:
1
Step-by-step explanation:
Step 1:
3x + 4 = 17x - 10
Step 2:
4 = 14x + 10
Step 3:
14 = 14x
Answer:
x = 1
Hope This Helps :)
Jill, Cathy, and Sandy were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in each seat?
Answer:
6
Step-by-step explanation:
1x2x3=6
What is a requirement of adjacent angles?
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Shea bought x candy bars for $1.50 each. Write an
algebraic expression for the total amount Shea spent.
What’s the answer?
a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?
Answer:
To find the perimeter of a triangle, you would need first all three side lengths.
9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
Jamie is playing a card gameJamie's score changes by - 12 points for 8 turns in a row. What is the total of jamies score? Plz answer fast
Answer:
-96
Step-by-step explanation:
Assuming that the scores start at 0,
-12 x 8 = -96
Total of Jamies score in card game is -96
Given that;
Each turn score = -12
Number of turn = 8
Find:
Total of Jamies score
Computation:
Total of Jamies score = Each turn score × Number of turn
Total of Jamies score = -12 × 8
Total of Jamies score = -96
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How do I solve this? Solve for x 2/3+5/3x=9
Answer:
5
Step-by-step explanation:
By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
To find the range, subtract the smallest from the biggest number.
The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.
To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.
Without the outlier: 39
With the outlier: 190
Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.
The answer is 151.
THEREFORE, The outlier increases the range by 151.