[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]
PLEASE HELP BRAINLIEST TO THE RIGHT ANSWER!!!!!
A 7.8 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s^2.
A. Determine the tension in the string if it is accelerating upward at a rate of 1.5 m/s^2. Answer in units of N.
B. Determine the tension in the string if it is accelerating downward at a rate of
1.5 m/s^2
Answer:
88.14 N
64.74 N
Step-by-step explanation:
(2/3a - 5) - (1/3a + 3) simplify
Answer:
i have no idea mate
Hey there!
(2/3a - 5) - (1/3a + 3)
= 2/3a - 5 - 1/3a + 3
COMBINE the LIKE TERMS
= (2/3a - 1/3a) - ( -5 + 3)
= 1/3a - 2
Therefore, your answer should be: 1/3a - 2
OR
2.Một công ty sẽ bán N quyển sách sau khi chi tiêu x nghìn $ cho việc quảng cáo quyển sách
mới này, được cho bởi
2 N x x x = − 60 5 30
Answer:
that makes no sence we t guy
Step-by-step explanation:
hi hi hi hi hi hi h i hi h h ih i hi hi i hi h
What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)
Answer:
B. (-2,3)
Explanation:
First, we'll turn both lines to slope-intercept form:
x + 3y = 7
Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.
3x + 2y = 0
Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.
Now you can graph (I did it for you above⤴⤴⤴).
Hope this helps you :)
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ2
I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars
Answer:
2
Step-by-step explanation:
either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.
Is 6,702,512 divisible by 9?
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has
been offered a private loan for 10 years with an APR of 7.8%.
a. Determine her monthly payment.
b. What is the total amount she will pay back?
c. What is the total interest amount?
Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.In this problem:
The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]Item b:
[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
[tex]M = \frac{8900}{120} = 74.17[/tex]
Her monthly payment is of $74.17.
Item c:
Loan of $5,000, pays back $8,900, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at https://brainly.com/question/13176347
A half circle is joined to an equilateral triangle whose
sides are each 10 units long.
What is the perimeter of this shape?
Please explain too
We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.
Remember that for a circle of diameter D, the perimeter or circumference is:
p = pi*D
where pi = 3.14
So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.
Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10
Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:
C = (1/2)*3.14*10 = 15.7
And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:
Perimeter = 15.7 + 10 + 10 = 35.7
If you want to learn more, you can read:
https://brainly.com/question/9350935
Which of the following is NOT true about the expression?
-5x3 + 12x2 - 9x - 8
It has a leading term of 5
O The leading coefficient is 5,
The constant term is 8.
ch
O There are no negative coefficients
The statements which is not true about the expression given is; It has a leading term of 5.
According to the question;
The expression given is; -5x3 + 12x2 - 9x - 8.Since it is an expression; all other statements can be assumed true except; It has a leading term of 5; in which case the leading term is; -5x³
As such, the statements which are not true is;
It has a leading term of 5Read more:
https://brainly.com/question/11386252
Find the square of the given algebraic expression (p+9).
I mark u brainliest answer
which function is equivalent to f(n)=(n+2)^2+n^2-4
According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?
I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer
Step-by-step explanation:
did you forget to write the whole question?
I am having trouble with this problem. I can’t figure it out. I have tried everything but can’t figure it out. After I figure out the problem I have to check it by writing out the problem and replacing the y with the number it equals. At the end it should equal 6
The picture is a different problem but this is what the check looks like
6=-y+42+-2y
Answer:
16 = y
Step-by-step explanation:
So you have the equation 6=-y+42+-2y
Find the y first
6=-y+42+-2y
add all y's together
6=-3y+42
subtract 42 on both sides
-48 = -13y
16 = y
------------------------------------------------
Now do the check:
Plug in 16 where ever it says y in the original equation
6= -(16) + 42 + -2(16)
open the brackets
6= -16+42-32
solve
6=26-32
6 = 6
Hope this helps
Which of the following correctly shows the re-grouping for 45 x 12? Group of answer choices 40 x 10; 5 x 10; 40 x 2; 5 x 40
40 x 10; 5 x 10; 40 x 5; 5 x 2
40 x 5; 5 x 10; 40 x 2; 5 x 2
40 x 10; 5 x 10; 40 x 2; 5 x 2
Answer:
40x10;5x10;40x2;5x2
400+50+80+10
=540
This year, there were 25% fewer sunny days than last year.
The number of sunny days this year is blank% of the number of sunny days last year.
Please write the full question, you wrote half of the question. If you could write the full one, I could probably be able to answer it
In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?
H =20
G = 8 mor than I
the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer
do atoms have potential and kinetic energy
Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.
(i searched it and found this. If it helped, pls mark me brainliest! tysm)
The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ
Answer:
x + 8
Step-by-step explanation:
Expanding the equation
-4(x-2)+5x = -4(x-2)+5x
= -4x+8+5x
= -4x+5x + 8
= x+8
What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)
Answer:
Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.
Step-by-step explanation:
Even if both 1/4 is left, that doesn't mean you started with the same amount. Also, both 1/4 pieces are different shapes and sizes, making him wrong.
Hope this helped!! :)
Evaluation the following:
A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]
Answer:
A. √32y²/72x²= 32y/72x
Step-by-step explanation:
√32y²/72x²= 32²/72²
= 32/72.
B. √125m³/36m²
=4192.6/108
=38.8203.
C. √x²/y²-y²/x²
therefore, x²=1, y²=-1
that is, √1/-1 - -1/1= -1(-)-1=0.
Help please! Will give brainliest!!
Refer to the attachment
Answer:
$714Step-by-step explanation:
Given:
A = 9000 i = 8.2% or 0.082 n = 9 d = ?Use the given formula and find d:
[tex]A=d(\frac{(1+0.082)^9-1)}{0.082})[/tex][tex]9000=d*12.6[/tex][tex]d=9000/12.6[/tex][tex]d=714[/tex]Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now
Answer:
5
Step-by-step explanation:
First subtract 6 from 16 to find how many cucumbers she has,
16 - 6 = 10
Now we know she has 10 cucumbers.
Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.
10 - 5 = 5
After subtracting the 5 cucumbers she gave away, we are left with 5
This means Maya has 5 cucumbers now
Please take a look at the picture
Answer:
A and B
Step-by-step explanation:
They both have the same numbers and at least one of the given numbers is negative.
Hope this helps :)
i have most important question what is 2+2 ?
Answer:
4
Step-by-step explanation:
Answer:
When I look at -2^2 I see two operations, a negation and a power (square). The convention in mathematical expressions is that powers are performed before negations (also before additions, multiplications and divisions) so to evaluate -2^2 you first square the 2 to get 4 and then apply the negation to arrive at -4.
With (-2)^2 the parentheses tell you to consider -2 as a single quantity and square it so (-2)^2 = (-2) × (-2) = 4.
I hope it's help
Please look the picture
C, 380 is the difference in the number of followers Rossana has and the number of followers Ty has.
A dozen gulab jamuns cost 3.49 how much will 5 dozen cost
Answer:
17.44
Step-by-step explanation:
if one dozen cost $3.49 than 3.49 × 5 = 17.44
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1