Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
It would be y=x or x=y as we can see that 9 lawns in 9 hrs equal 1 lawn in 1 hr. 6 lawns in 6 hrs equals to 1 lawn in 1 hr as well.
In which pair do both decimals represent rational numbers?
Answer:
A
Step-by-step explanation:
0.318 is a decimal that ends
0.3444... can be turned into the fraction 31/90.
Answer:
A
Step-by-step explanation:
You want a soccer ball. It costs $10.00. Because everyone wants the item, the price goes up 6%. Find the new price
Answer: X/10.00 = 6/100
So you would first do 6 times 10.00 which is 60.00 then divid by 100 then you will get your answer
HELP.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. IVE FALLEN AND I CANT GET UP!!!!
Answer:
f (7)=11
Step-by-step explanation:
If t equals 7, then 2t=14 and 14-3=11.
help me quickly please!!
if
AC= 143
BC= 8x+4
AB= 7x+4
find BC.
Answer:
BC is 12x. An addition problem.
Step-by-step explanation:
Let me know if I am wrong.
Answer:
AC
Step-by-step explanation:
Writing about Graphing a Fraction Explain how to graph 5 2 on the number line. A number line going from 0 to 3. There are 2 equals spaces between each number. The number line contains 0, point A is one-half, 1, point B is 1 and one-half, point C is between point B and 2, 2, point D is 2 and one-half, 3. I need help
the answer is uhhhhhhhhhh yes*
i will give brainly if you’re right and if you explain
[tex]area \: of \: circle = \pi \times {r}^{2} \\ area \: of \: circle = 9\pi \times ft {}^{2} \\ 9\pi \times ft {}^{2} = \pi \times {r}^{2} \\ = r = \sqrt{\ 9 pi \times \: ft {}^{2} } \\ r = 3ft[/tex]
A. Are the expressions 3(m−2) + 2(m−2) and 5(m−2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answer: yes, this is because when you solve the first equation then your answer will be 5(m-2). You do this by distributing 3 to m & 2 (multiply), then you will distribute 2 to m & 2 (also multiply).
Step-by-step explanation:
Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
M = 9h
where M is the money she earns and h is the hours she babysits.
Samara babysits her cousin to make money. Her earnings can be represented by the graph.
Which babysitter earns more money per hour?
Answer:
Sarah makes more money.
Step-by-step explanation:
Sarah makes $9 an hour babysitting while Samara make $3 an hour babysitting. For every 1-hour Sara babysits, Samara has to babysit 3-hours to make the same amount of money. Hope this helps :)
help me please and thanks
Answer:
two
Step-by-step explanation:
on edge
A package of 25 wristbands costs $15.75. What is the cost of 3 wristbands in dollars and cents?
Answer:
1.89
Step-by-step explanation:
find cost of 1 wristband first
15.75/25 = 0.63 (cost of 1 wristband)
0.63*3 = 1.89
Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9
Answer:
Equation: I believe its y=5/3x-13
Step-by-step explanation:
In the "y=5/3x+9" equation, 5/3 is the slope. You then take the slope (5/3) and the points (9,2) and add it to the equation "y+y1=m(x-x1)":
y-y1=m(x-x1)
distribute 5/3: y-2=5/3(x-9)
y-2=5/3x-45/3
y-2=5/3x-15
-add 2 on both sides-
y=5/3x-13
I might be wrong- but its worth a try ;-;
Hi I’m back again and I need help with this question on my daily common core review sheet. Thanks a lot, answer this and you get 20 points, I will give lots of points on Christmas as a gift for people who need some thank you
Answer:
B
Step-by-step explanation:
That's the biggest number
Answer: B
Step-by-step explanation:
In this problem we know that the Acme Nails made 55,672 and the problem is asking who made more. Knowing this we now know we need to find a number higher then 55,672.
A is incorrect because it is less the 55,672 and same goes for C and D
B is correct because 55,674 is 2 more then 55,672
I hope this helps have a great day and merry Christmas :)
Please answer quick its math
Answer:
A = bh
10.5 = .75h
h = 14 inches
I need help on this equation, it’s solutions to inequalities. I need explanation on why it’s that answer, plz, thx
Answer:
k=69
Step-by-step explanation:
(plug in 69 instead of k)
69/3 = 23.
23+1=24
The ≥ sign means 21 has to be GREATER or EQUAL to 17.
Is it?
24≥17?
YES!
So, it works out.
Hope this helps.
If you still don't get it, just ask again, I'll explain it in more detail.
Which of the following is true? (1 point)
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
whoever is smart enough gets brainliest >:))
Triangle BCD With Vertices B(4,4), C(8, 14), And P(12, 0); K = 1/4
Answer:
Hello, I am not sure if you mean a dilation by 1/4. If it is, this will be the answer:
B (1, 1)
C (2, 3.5)
D (3, 0)
Step-by-step explanation:
Just divide each number by 4. B (4, 4) = B (4/4, 4/4) = B (1, 1)
Continue to do this for each coordinate set given.
Hope this helps!
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the vertices of triangle B'C'D', which is a dilation of triangle BCD with center at the origin and a scale factor of 1/4,
We can follow these steps:
Find the coordinates of the centroid of triangle BCD.
The coordinates of the centroid G are:
[tex]x_G = (x_B + x_C + x_D) / 3 = (4 + 8 + 12) / 3 = 8[/tex]
[tex]y_G = (y_B + y_C + y_D) / 3 = (4 + 14 + 0) / 3 = 6[/tex]
Translate triangle BCD so that its centroid is at the origin.
We can do this by subtracting the coordinates of the centroid from the coordinates of each vertex:
B(4, 4) → [tex]B_1(4 - 8, 4 - 6) = B_1(-4, -2)[/tex]
C(8, 14) → [tex]C_1(8 - 8, 14 - 6) = C_1(0, 8)[/tex]
D(12, 0) → [tex]D_1(12 - 8, 0 - 6) = D_1(4, -6)[/tex]
Dilate the translated triangle [tex]B_1C_1D_1[/tex] by a scale factor of 1/4.
To do this, we can multiply the coordinates of each vertex by 1/4:
[tex]B_1[/tex](-4, -2) → B'(-4 x 1/4, -2 x 1/4) = B'(-1, -1/2)
[tex]C_1[/tex](0, 8) → C'(0 x 1/4, 8 x 1/4) = C'(0, 2)
[tex]D_1[/tex](4, -6) → D'(4 x 1/4, -6 x 1/4) = D'(1, -3/2)
Therefore,
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
can some one helo me ASAP
Answer:
45
Step-by-step explanation:
small hotel(sm) 7.75 per week
bed and breakfast (b+b) 3.25 per week
(sm)7.75-(b+b)3.25 is 4.5 more per week
4.5 is one week
4.5x10 is 10 weeks
45 more people over a 10 week period
Answer:21
32
Step-by-step ex32planation:
11
If , what is the value of the expression ?
A.
B.
C.
D.
E.
Answer:
im pretty sure its 6
Answer: below
B: 6!
Step-by-step explanation:
Substitute the 8 for d evaluate:
4 + 2 = 4 + 8/2 = 4 + 4= 8
Answer:
[tex]\frac{4+d}{2} = \frac{4+8}{2} = \frac{12}{2} = 6[/tex]
:)
2 more questions left please help with this fast!!! IXL question
5(20 + ) = 100 + 95 im tryna watch anime but i gotta do another test
Answer:
100=195
Step-by-step explanation:
Im sorry it sort of makes no sense since because of the +.
N + 1 - 3N = 9 - N (IN A TEST)
Answer:
N= -8
Step-by-step explanation:
a
T-T help, i do not understand functions....
simplify 8/-4 divided by -3/9 (HELP ASAP)
6
-6
12
-12
A cone has a volume of 3pi. If the cone's radius is r, what is its height?
The volume of this cylinder is 175pi cubic units.
What is the volume of a cone that has the same base area and the same height?
Answer:The height of each is 5 cm, and the radius is 2 cm
Step-by-step explanation:
help pleases
Evaluate the expression when b=8
3b²
here is your answer
3(8)²
3*64
192.......
The camp has an elevation of 2700m. It is 1500m east of the origin. What are the camp's x and y coordinates?
Please help!! will give brainliest. Will be helpful
Write an equation representing the relationship of 10:20 shown in the graph
Answer:
[tex]20=2(10)[/tex]
Step-by-step explanation:
10:20 is a good point that passes a line to another.
This graph is a linear graph.
The linear equation is
[tex]y=mx+b[/tex]
[tex]y[/tex] = 20 (the y coordinate in the graph)
[tex]m[/tex] = slope
[tex]x[/tex] = 10 (the x coordinate in the graph)
[tex]b[/tex] = y-intercept
Finding slope
To find the equation, we'll need to plug in the values in the formula. To find slope using two points, use the formula, then plug in the values:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
(10, 20) and (20, 40)
[tex]=\frac{40-20}{20-10}[/tex]
[tex]= \frac{20}{10}[/tex]
[tex]\bold{m= 2}[/tex]
Finding the y-intercept
You have to find the slope first before finding the y-intercept. So, plugin one of the two points we used to find the slope into the formula and solve for [tex]b[/tex]
(10, 20)
[tex]20=2(10)+b[/tex]
[tex]20=20+b[/tex]
[tex]20-20=20-20+b[/tex]
[tex]\bold{b=0}[/tex]
The y-intercept is zero, and when it is, you do not add it since zero is nothing.
The equation is [tex]20=2(10)[/tex]
Morgan has an 8 1/2 foot board that must be cut into boards that are feet long. How many of the smaller boards can he get from the 8 1/2 foot board?
Which of the following equations could you use to solve the problem?
x * 8 1/2 = 5/6
8 1/2 * x = 5/6
5/6 * 8 1/2 = x
8 1/2 / 5/6 = x
Answer:
8 1/2 / 5/6 = xStep-by-step explanation:
8 1/2 foot board to be cut into 5/6 feet boards.
Number of smaller boards is:
8 1/2 ÷ 5/6 = 17/2 ÷ 5/6 = 17/2 × 6/5 = 51 / 5 = 10 (the whole part)Correct equation is D
Select the right answer.
Answer:
C
Step-by-step explanation:
