Answer:
[tex]s(8)=2186[/tex]
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
[tex]a(t)=18t+16[/tex]
We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.
And we want to find its position at t = 8.
Velocity is the integral of the acceleration. Hence:
[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]
Find the velocity. Remember the constant of integration!
[tex]v(t)=9t^2+16t+C[/tex]
Since v(t) is 16 when t = 0:
[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]
Hence, our velocity is given by:
[tex]v(t)=9t^2+16t+16[/tex]
Position is the integral of the velocity. Hence:
[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]
Integrate:
[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]
s(t) is 10 when t = 10. Hence:
[tex]C=10[/tex]
So, our position function is:
[tex]s(t)=3t^3+8t^2+16t+10[/tex]
The position at t = 8 will be:
[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]
Match each expression with its sum or difference
Answer:
1-4=-3
-1-4=-5
-1+4=3
1-|-4|=5
Answer:
[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]
Step-by-step explanation:
The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.
30 pts 5 stars thanks and brainliest please- this question is really hard...
Answer:
From least to greatest
C
B
A
Step-by-step explanation:
Function A is the only one with a positive y-intercept
so it's the greatest
Function B has a y-intercept of -1 as read of the graph
it is the middle one
Function C has a y-intercept of -9/4 as given in point (0, -9/4)
this is the least
-----------------
From least to greatest
C
B
A
−n+(−4)−(−4n)+6 find equivalent expressions PLZ
Answer:
3n+2
Step-by-step explanation:
−n+(−4)−(−4n)+6
Combine like terms
−n−(−4n)+6+(−4)
A negative negative is like adding
−n+(4n)+6+(-4)
3n+2
you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p be number of pants. Write an inequality that represents the numbers of shirts and pants you can afford. DO NOT INCLUDE THE DOLLAR SIGN IN YOU INEQUALITY. An inequality is______
is this an algebra class? if so it just
11.50x + 16y = 20.25
any method that uses formulas, figures, or proportions to measure an object Is a(n) ______?
Answer:
Indirect measurement
Step-by-step explanation:
Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th
Answer:
23.32 Miles
Step-by-step explanation:
According to the Question,
Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .(For Diagram Please Find in Attachment)
In Triangle ABC , Apply Pythagoras Theorem, We get
AC²=AB² + BC²
AC² = 12² + 20²
AC² = 544 ⇒ √544 ⇔ 23.32 miles
Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?
Answer:
i think isA
Step-by-step explanation:
Need help finding the cost! ASAP!
Answer:
Apple Cost: $1.10
Orange Cost: $1.05
Three oranges and two apples cost: $5.35
Step-by-step explanation:
What number makes the expression a perfect square? X squared -12x +
Answer:
36
Step-by-step explanation:
x²-12x+36 = (x-6)(x-6)
Which choice is equivalent to the product below when x is greater than 0?
I think that's ur answer
Help ASAP !!!
What is the angle of 1
Answer:
100°
Step-by-step explanation:
m L 1 = (180-100) + 20 = 80+20 = 100°
18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?
Answer:
The correct answer us 9/15<4/4
Can I please have a brainliest? I want to rank up :)
I NEED HELP WITH THIS ASAP PLEASEEEE :(
Answer:
[tex]\sqrt{1}[/tex]
Step-by-step explanation:
Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]
Hope this helps!!
Please mark me Brainliest
:)
Find the value of x:
77.5% of x is 49
77.5/100=49/x
77.5x= 4900
x= 4900/77.5
x= 63.22 (two decimal places)
mark me brainliest pls :)))
differentiate
f(x)= 186.5
Answer:
Hope this helps!
Step-by-step explanation:
f'(x)=0
how to solve x+3=15 Using the inverse operation
please help
Answer:
x+3=15
-3 -3
x=12
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{x + 3 = 15}[/tex]
[tex]\huge\text{SUBTRACT 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 3 - 3 = 15 - 3}[/tex]
[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 15 - 3 because it helps solve for x}[/tex]
[tex]\large\textsf{15 - 3 = x}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the sum of the first 41 terms of the following series, to the nearest integer. 4, 12,20,...
Answer:
Sum of the first 41 terms = 6724
Step-by-step explanation:
[tex]a_{41} = a_1 + (n - 1 )d = 4 + (41 - 1) \times 8= 4 + 40 \times 8 = 324\\\\S_n = \frac{n}{2}(a_1 + a_n)\\\\s_{41} = \frac{41}{2} (4 + 324) = \frac{41}{2} \times 328 = 41 \times 164 = 6724[/tex]
The sum of the first 41 terms of the following series, to the nearest integer, is 6724.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
An arithmetic sequence,
4, 12,20,...
The common difference d,
d = 20 - 12 = 8.
To find the sum of the first 41 terms:
We will find the 41st term.
Remember that,
aₙ= a₁ + (n-1)d
a₄₁ = 4 + (40)8
= 324
The sum of the first 41 terms,
Sₙ = (41/2)(4 + 324) = 6724.
Therefore, the sum is 6724.
To learn more about the arithmetic sequence;
https://brainly.com/question/29616017
#SPJ2
Which of the following questions is a statistical question?
What is the top-selling board game?
In what aisle are the board games located in the local store?
How many board games require a deck of cards to play?
How many board games have you played in the past month?
Answer:
A statistical question is one that requires collection of DATA that vary.
The Last two questions are statistical questions.
Hope the helps!
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answer:
Both A and B
Step-by-step explanation:
They both pass vertical line test
Bab in need of help!
Answer:
Third option is the correct answer
Step-by-step explanation:
Given end points are: [tex] (x_1, \:y_1) \:\&\: (x_2, \:y_2)[/tex]
[tex] \huge\purple {\therefore Midpoint =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)} [/tex]
I’m so confused, I will try to mark brainliest, sorry if I can’t figure it out.
Answer:
[tex]x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}[/tex]
Step-by-step explanation:
Statement 1:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 2:
True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.
Statement 3:
False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.
Statement 4:
False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.
Statement 5:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 6:
False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.
Answer and Step-by-step explanation:
The answers are:
x + 105 = 180 (Supplementary angles = 180 degrees)
x = z (Vertical angles are congruent)
180 - z = y (Supplementary angles = 180 degrees)
#teamtrees #PAW (Plant And Water)
WILL GIVE BRAINLIEST: What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)
Answer:
Step-by-step explanation:
you can find where the first derivative is 0 to find the critical points
g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x
g'(x) =0, make y =0 to find find where g'(x) is 0
4x³-10x =0 , factor 2x
2x(2x²-5)= 0 , each factor must be 0
2x= 0, so x= 0
2x²-5 =0, so x = ±√5/2
we now have 3 critical points -√5/2, 0, and √5/2
make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)
pick a point to test on each interval: -2, -1, 1 and 2 for example, and
calculate g'(x) = 4x³-10x at those points
for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease
for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase
for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease
for x= 2 we have 4(2)³-10(2) = 12, positive number, increase
we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum
we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so
x= √5/2 ≈ 1.58 is a minimum as well
Which choice is the slope-intercept equation of the line shown below?
A. y=-1.5x+3
B. y=-1.5x-3
C. y = -1.5x
D. y = -1.5x + 2
Answer:
A)
Step-by-step explanation:
ANSWER QUICK PICTURE ATTACHED
Answer:
Step-by-step explanation:
x+5+x+7x-5=180 degree (being the interior angles of a triangle)
9x=180
x=180/9
x=20 degree
Answer:
x° = 20°
Step-by-step explanation:
Sum of angles of triangles = 180°
Therefore,
(x + 5) + (7x - 5) + x = 180
x + 5 + 7x - 5 + x = 180
9x = 180
x = 20
∠M = (x + 5) = 20 + 5 = 25°
∠L = (7x - 5) = 140 - 5 = 135°
∠N = x = 20°
PLEASE HELP!
Find the surface area and the volume of the solid.
Answer:
50m or 15m
Step-by-step explanation:
10m•5m=50m
or
10m+5m= 15m
Diana saves $5.25 cach week. How
much will she save in a year? There
are 52 weeks in a year.
go on a calculator and multiply 5.25 by 52
Answer:
5.25 × 52 = 273$ ...........
x + 3 > 70
How do I solve this step by step?
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, and a piece 13 feet long. Find the total length of pipe in feet. If he uses 5 feet of pipe on a job, how many feet of pipe are left?
^lets start off easy☺️^
Jack is 5 years older than Mary. In four years the sum of their age is 33 years old. What are their ages?
Answer:
mary=10 jack=15
Step-by-step explanation:
After 4 years Mary (x+4), Jack's age (x+5) + 4.
sum of the ages after 4 years :(x+4) + (x+5) +4=33
Simplifying the equation:
2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age
10 + 5 = 15 which is Jack's age.
Help
Will
Give
Brainlist
:-))) my
Answer:
a
Step-by-step explanation:
1. 1 1/99 miles per hour
