Answers
Answer:
21
Step-by-step explanation:
Related Questions
The average rate of change of f(x)= x^2- x + 4 from x =2 to x= 4
Answers
8(v + 1) = 88
so what does v =
Answers
Answer:
v = 10
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
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Answer:
v = 10
Step-by-step explanation:
8(v +1) = 88
8v + 8 = 88 (Distribute)
- 8 - 8 (Subtract)
8v = 80 (Divide)
v = 10
Hope this helps :)
Determine the area of the given region under the curve
(1/x^4) [1,2]
Answers
Answer:
[tex]\displaystyle \frac{7}{24}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
[Area] Limits of Riemann's Sums - Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2][/tex]
Step 2: Find Area
[Integral] Set up area: [tex]\displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^2_1 {x^{-4}} \, dx[/tex][Integral] Reverse Power Rule: [tex]\displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1[/tex][Area] Fundamental Theorem of Calculus: [tex]\displaystyle \frac{7}{24}[/tex]Topic: Calculus
Unit: Basic Integration/Riemann Sums
Book: College Calculus 10e
A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?
Answers
Answer:
460=35x+250
Step-by-step explanation:
He starts off with 250, adding 35 each week, which is constant, represented by x
Answer:
460 = 250 + 35x
Step-by-step explanation:
First, let's review some given knowledge. We know how much money he currently has, $250, and how much he plans to save per week, $35. We can represent this as a linear function in the form y = mx + b. The rate of change, aka the slope, is represented by m and the initial amount, aka the y-intercept, is b.
So what do m and b equal? We already have that knowledge! Because b represents the starting amount, we need to find the starting value of the savings account. That amount is $250, and so b = 250.
As for m, that, once more, is the rate of change. Here, that's how much money is added to the savings account in a frame of time. In this case, y represents how much money is in the savings account and x is how many weeks the student has been saving money for. In other words, the amount of money in the savings account is dependent on how many weeks the student has been saving money for.
This is for two reasons: first, in a linear equation of the form y = mx + b, x is the independent variable and y is the dependent variable. The function represents the change in x; this is why y could also be written as f(x),"the function of x" — y is a function of x. Second, it's very rare to find a situation where time is the dependent variable; you can go forward in time, but you (presumably!) can't go backward, unless you happen to have a DeLorean or a TARDIS.
Why is this important? Slope is rise over run; this could also be described as the change in y over the change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Here, the slope is the change in the amount of money in the savings account over the number of weeks the student has been saving money. That's also the rate of change.
So, how much money is the student saving per week? The problem tells us that amount: he's saving $35 per week.
Now that we have our values, we can write our function. It is y = 35x + 250, where y is the amount of money in the savings account, x is the number of weeks the student has been saving money, 35 is the amount of money saved per week, and 250 is the starting amount of money in the account.
Next, we need to solve for a specific value of x. Here, y is given to us; it's 460, because the student wants to have $460 in his savings account. By substituting 460 for y, we turn our function into an equation. Then, we can solve for x, the number of weeks the student needs to reach his goal of having $460 in his savings account when he started with $250 and is saving $35 per week.
This, once again, makes our function, y = 35x + 250, into 460 = 35x + 250. Now, if we wanted to, we could solve for x by reversing the operations done. If this were a function, it would mean we were finding the inverse. But since this is an equation, we'd just be solving for x, the number of weeks the student will save money for until he reaches his goal.
Phew! This is a long explanation, I know. But my goal here is to help you understand the concept so you don't need to ask questions like this in the future. Hopefully, this answer helps you to reach that level.
It's about 9:00 AM where I am as I finish writing my answer, so good morning and have an awesome day! Keep learning, keep growing, and never stop going! You've got this!
What is the solution to the system of equations given below?
y = 7x + 14 y = 6x + 15
A. x = 29, y = 217
B. x = -1, y = 7
C. x = 1, y = 21
D. x = 21, y = 1
Answers
(1,21)
Let me know if u need the explanation but hope this helps!
When calculating the circumference of a circle with r=5 mm, which answer provides the most accuracy? 10(3.14)mm mm 10mm
Answers
Answer:
(2)(5)(3.14)=10(3.14)mm
Step-by-step explanation:
Answer:
✔what is the difference between 15.0 and 20.0
Answers
Answer:
5
Step-by-step explanation:
Im not sure if you mean subtraction but if you find the difference im pretty sure you take 20.0 subtract 15.0 from it giving you the answer 5 or 5.0 im not that good with decimals sorry
If the value of "y" varies directly with "X"
and y = -51 when x = 3, find "y" if x = 2.
Enter the number
Answers
Answer:
x : 3 :: y : -1
9 : 3 :: y : -1
3y = -9
y = -3
Answer:
-34
Explanation:
Y varies directly as x then the equation relating them is
y= kx ⬅️k is the constant of variation
To find k use the condition y= -51 when x=3
k= -17
y= -17x⬅️equation of variation
when x=2, then
y= -17*2=-34
is 5(b+3) equivalent to 3(b+5)?
Answers
Answer:
No, because using the distributive property, you would get 5b+15 and 3b+15. The number of b you have is different.
Answer:
No?
Step-by-step explanation:
If we were to give b a value, let's say 2,
then 5(2+3) would = 25, and 3(2+5) would = 21.
therefore no, they are not equivalent.
PLS HELP ASAP
130% of what amount is $88.40?
Answers
Answer:
30% i think so yea......
Answer:
68
Step-by-step explanation:
130% × Y = 88.40
Y = 88.40 ÷ 130%
Y = 68
Checking...
68 × 130% = 88.40
Sorry it so long to respond. I just learned how to calculate it myself.
Four friends plan to rent a car to go on a camping trip. They will drive a total of 450 miles. The cost of gasoline is $2.20 per gallon.
1. Write an algebraic expression for the total cost of the gasoline. Let m equal the number of miles driven, g equal the number of miles per gallon, and p equal the price per gallon of gasoline.
PLEASE I NEED HELP ASAP !!!!
Answers
Answer:
t = (m / g) * p
Step-by-step explanation:
Since we are given a variable for every part of the equation that we need we can go ahead and create the following equation where t equals the total cost
t = (m / g) * p
In this equation, we need to first divide the total number of miles by the number of miles that the car gets per gallon. This would give us the total number of gallons that the car would use during the entire trip. We then multiply the number of gallons by the price per gallon to get the final cost of the entire trip.
On Friday night, John ate pizza for dinner and had 1/2 of the pizza left over. On Saturday, he ate 1/3 of what was left. How much pizza did John eat on Sunday?
Answers
Given triangle ABC and A’B’C’, find the scale of factor and the center of dilation.
Please help me!
Answers
Answer:
1/4 I think, reduction?
Step-by-step explanation:
What is the product of 3x(22+4)?
O2 + 3x + 4
O 3.3 +4
O 3.3 +12
3x² + 12x
Answers
3x(22 + 4)
= 66x + 12x
= 78x
So, in conclusion, the answer to this equation is 78x.
Pls help I’ll brain-lest ASAP
Answers
Answer:
Boy I'm really boutta get to yo pickle chin ahh boy, egg head like collard greens head a//ss boy, oh hell nah boy yo dirt ahh boy stank ahh boy afro head ahh, lip gloss chin ahh boy ugly ahh boi
Step-by-step explanation:
29.15 + 2.54 = ? what is it
Answers
Answer:31.69
Step-by-step explanation:
31.69
X/8 +6 =32 :solve
Please help
Answers
Answer:
x/8=26
X= 168
Step-by-step explanation:
brainlist me plz
Answer:
X=3.25
Step-by-step explanation:
X•8+6=32
-6 -6
X•8=26
8÷8=26÷8
X=3.25
Check your answer by pluging it in like this
3.25•8=26+6=32
Hope this helps and if it does please mark me brainlist.
help pls
Which expressions below equal a rational number? Choose all that apply.
Answers
Answer:
Step-by-step explanation:
Any rational expression can be expressed as the ratio between two integers. Since the square root of 5 or 3 are irrational the only rational expression is 1/3+4/5 because it can be expressed as 17/15 both of which are integers.
What shape would you build if you scaled a piece of paper that was circular?
Answers
Answer:
a circle
Step-by-step explanation:
A. acute; 45
B. Acute; 55
C. Obtuse; 135
D. Obtuse; 45
Answers
Question 8
Which number sentence shows a pattern of +6?
A
3 x 2 = 6
B
6 x 0 = 0
С
7x1=7
D
4x6 =24
How do I get the answer
Answers
A database contains 58,000 items items are added to the database at a rate of 2 items per minute which function can be used to find n the total number of items in the database after m minutes
Answers
Answer:
N=2m+58000
Step-by-step explanation:
In the diagram, the measure of angle 3 is 105°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8. Which angle must also measure 105°?
Answers
Answer:
1 is the answer (or A)
Step-by-step explanation:
Answer:
<1
Step-by-step explanation:
"A"
x+gh? when x=-3, g = 4, h= -2
Evaluate
Answers
Answer:
x + gh = -11
Step-by-step explanation:
x + gh
= -3 + 4(-2)
= -3 + (-8)
= -11
Answer:
- 11
Step-by-step explanation:
= -3+4x-2
=-3+ (-8)
= -3-8
=-11
What is the simplified answer?
Answers
Answer:
2.4
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{1}{6}[/tex]
using the rule for division by fractions, you get:
[tex]\frac{2}{5}*\frac{6}{1}[/tex]
simplify
[tex]\frac{12}{5}[/tex] = 2.4
Bob has $24 more than twice as much as Susie,
Together they have $150.
using the equations created in
Answers
Answer:
150
Step-by-step explanation:
To solve this problem, first start setting up the equation.
Start with bob first - this is the easiest. Let x = bob
To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24
Combine these parts:
x + (2x + 24)
Combined they have $150, so you would set the equation above equal to 150
x + (2x + 24) = 150
Combine like terms:
3x + 24 = 150
Solve the equation for x
3x + 24 = 150
- 24 -24
3x = 126 isolate x by itself on one side of the equation
divide both sides by 3 to get x by itself
3x = 126
3 3
x = 42
Now that you have solved for x, you know the amount that bob has... $42
With this information you can substitute 42 for x in the equation that was created for susie
2x + 24 would now by (2*42) + 24 which is $108
So, the amount that bob has is $42 and susie has $108
You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)
Hope this helps!!!
(2x^2+6x+10)+(4x^2+2x+3) combine like terms
Answers
You can make 100 dollars for mowing 5 lawns. What is the unit rate?
Answers
100/5=20
Hope this helps. :)
Due Today, Please help me.
Answers
Answer:
Yes, SAS.
Step-by-step explanation:
For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.
Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.
The variable q represents a positive integer. Does 3(59 + 9) + 5q represent a number that is greater than, less than, or equal to 4(59 + 6)? Show your work.
Thank you if you awnser this!
Answers
Answer:
Depends on the value of q.
Step-by-step explanation:
3(59+9) + 5q = 3(68) + 5q = 204 + 5q
4(59+6) = 260
The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p = 3(59 + 9) + 5q
Now , the value of a = 204 + 5q
And , let the second number be q = 4(59 + 6)
Now , the value of b = 260
Now , for the value of p and q to be equal ,
Substituting the values in the equation , we get
204 + 5q = 260
Subtracting 204 on both sides of the equation , we get
5q = 56
Divide by 5 on both sides of the equation , we get
q = 11.2
Now , when q < 11.2 , the value of a < b
Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2
To learn more about inequality equations click :
https://brainly.com/question/11897796
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