What is the mass of an object with a density of 3 g/mL and a volume of 112.5 mL? Show all work.
Answer:
337.5
Step-by-step explanation:
Based on the given conditions, formulate 3 112.5
Calculate the product or quotient: 337.5
Hello everyone!
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
Can someone try to do this question using the derivative rule for quotient? No spam please!
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]
To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..
[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Now, simplify it..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]
You can further simplify the answer to [tex]\underline{\underline{\frac{146}{\left(x-5\right)^{3}}}}\\[/tex]__________________
Hope it'll help you!
ℓu¢αzz ッ
surface of a cuboid
Answer:
148 cm2
Step-by-step explanation:
5 * 4 * 2 = 40
6 * 5 * 2 = 60
6 * 4 * 2 = 48
40 + 60 + 48 = 148
Answer:
» 148 cm²Step-by-step explanation:
T.S.A (TOTAL SURFACE AREA) OF CUBOID :
→ 2(lb + bh + lh)
( l = length, b = breadth , h = height )
→ Given :
• Length (l) = 6cm
• Breadth (b) or width = 4cm
• Height (h) = 5cm
Total Surface area of cuboid :
• 2( 6×4+ 4×5+ 5×6) cm²
• 2 ( 24 + 20 + 30 ) cm²
• 2 ( 74 ) cm²
• 148 cm²
6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?
The domain is the set of x-values for which the equation is true.
Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0. ∴ domain would be 0 < x ≥ 12How old is Reena now,If 10 years ago she was 25 years old?
Answer:
35
Step-by-step explanation:
If she was 25, 10 years ago she has aged 10 years since she was 25 making her 35.
Solve for x
15/18 = x/126
Second question.
Vons sells coke in 2 different packs. is it a better buy to buy 12 cans for $4 or 36 cans for $11.50?
Third question.
A circle's circumference is 43.96 cm. what is the length of the circles diameter?
Answer:
1. x=105
2. 12 cans for $4
3. 14
Step-by-step explanation:
1. 15/18 = x/126
126/18=7
x=15*7=105
2. 12 cans for $4. 36 for $11.50.
36/3=12. 11.50/3=3.8333.
12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.
3. Circumference = pi*d. Circumference = 43.96. pi=3.14. 3.14*x=43.96. x=diameter. x=14. diameter = 14
--Explanation to 3.14*x=43.96:
3.14*x=43.96, = 3.14x=43.96
3.14x*100 =43.96*100
314x=4396
314x/314 = 4396/314
x=14
help i kinda get the idea but every-time i solve it i get wrong
The equation for a line is y = mx + b. where m is the slope and b is the y intercept.
The slope is -1/3 (rise: 1, run: -3)
And the y-intercept is at -4.
So the equation for the line is:
y = -1/3x - 4
And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:
y <= -1/3x - 4
“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.
y <= -1/3x - 4 is the answer
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Eureka Math - 7th grade
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5.8 Solve two-step equations: word problems D2Y
Tutor
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit
$32 for each hockey stick
Step-by-step explanation:
71+25=96
96 divided by 3= 32Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.
Given that Zack sold 3 old hockey sticks and earned a total amount of money.
He spent $25 of his earnings on a pair of used hockey gloves.
After buying the gloves, he had $71 remaining.
Now, we need to find out how much Zack received for each hockey stick.
Let's assume the amount he received for each hockey stick is "x" dollars.
Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick
Total earnings = 3x
Zack spent $25 on gloves and had $71 remaining, so we can write this equation:
Total earnings - Amount spent = Remaining money
3x - 25 = 71
Now we can solve for x (the amount received for each hockey stick):
3x - 25 = 71
Add $25 to both sides:
3x = 96
Divide both sides by 3:
x = $32
So, Zack received $32 for each hockey stick he sold.
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Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -3
Answer: [tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
Which number is a reasonable estimate for the sum of the equation 4,619 + 288 = ________? Round the first addend to the nearest thousand and the second addend to the nearest hundred.
4,200
4,300
5,200
5,300
Answer:
5300
Step-by-step explanation:
Round 4619 up to 5000.
Round 288 up to 300.
Add them together!
why did j ernest wilkins jr was the first to do something significant in math
Answer:
guess hes just smart
Step-by-step explanation:
If there is 15 flowers in 3 pots how many flowers are in one pot
Answer:
5 simple because 5*3 =155. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C
Answer: 61 unit^2
Step-by-step explanation:
ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.
The four triangle areas:
TriD = 36
TriA = 6
TriB = 20
TriC = 9
Total area = 71 square units.
Subtract this from the rectangle's area: 132 - 71 = 61 units^2
This is the area of the shaded trapezoid.
maths help me maths giving 11 point
Answer:
smallest integer value of m=4
Step-by-step explanation:
please help
The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?
The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?
Answer:
1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)
2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?
Step-by-step explanation:
nm the top
There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.
2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.
1) I don't know how to cancer this let me resheerch and ill get back to you
P>S let this be help only if you need to annotate or reword thx
1) Find the value of x
2) Justify your answer by explaining the series of angle relationships used to prove the value of x.
Answer:
65
Step-by-step explanation:
hello dear!
suppose that y and x are the straight line.
as we know that:
115=y (reason: corresponding sides are equal in parallel lines)
now,
y + x= 180(straight angle)
now we keep the value of y i.e. 115
115+x=180
x=180-115
x=65
as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .
so therefore, the value of x = 65°
hope it helps!
Susan is an interior floor designer. When designing a new floor, she uses a coordinate grid to
represent the room. The client wants a rectangular tile insert in the floor of the room. The
coordinates for 3 of the corners of the insert are A (-7,-4), B (1,6), and C (6,2).
YA
A rectangle has 4 coordinates.
The coordinate of the last vertex is (-2,-8)
The points are given as:
[tex]\mathbf{A = (-7,-4)}[/tex]
[tex]\mathbf{B = (1,6)}[/tex]
[tex]\mathbf{C = (6,2)}[/tex]
Calculate distance AB
[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]
Calculate distance CD
[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]
Equate AB and CD
[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]
Cancel out the squares
[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]
By comparison
[tex]\mathbf{x -6 = -7-1}[/tex]
[tex]\mathbf{y-2 = -4-6}[/tex]
So, we have:
[tex]\mathbf{ x = 6-7-1 }[/tex]
[tex]\mathbf{ x = -2}[/tex]
[tex]\mathbf{y = 2-4-6 }[/tex]
[tex]\mathbf{y = -8}[/tex]
Hence, the coordinate of the last vertex is (-2,-8)
Read more about coordinates at:
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MARKING BRAINLEIST IF YOUR RIGHT !!
Step-by-step explanation:
slope =3/2
that is the answer
Any multiple of 12 is also a multiple of 4.explain why it’s true?
Answer:
the answer is 36....
because...
12*3=36
and also 4*9 =36
Any multiple of 12 is also a multiple of 4 true because Multiples of 4 can be found by multiplying 4 by another number. For example, 4×3=12.
What is multiple?A multiple is a result of multiplying a number by a whole number (it should not be a fraction). Multiples of an integer are obtained by subtracting the product of the decreasing numbers and the product of the whole numbers. For example, to find multiples of 6, we multiply 6 by 1, 6 by 2, 6 by 3, etc. The coefficients are the result of this multiplication. A number can have an infinite number of repetitions because multiples of a number are obtained by multiplying it by natural numbers. So we can write an infinite number of times for a given number. The table below shows the first 10 multiples of some numbers.
To learn more about multiple, refer;
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Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False
Answer:
false, true, false
Step-by-step explanation:
Solve for X then find the measure of
Answer:
x=11
m<a=80º
m<b=80º
Step-by-step explanation:
They are congruent so
8x-8=5x+25
8x=5x+33
3x=33
x=11
Answer:
Step-by-step explanation:
8x-8=5x+25
8x+5x=25--8
13x=33
x=2.5
x=3cm
write the equation
it is parallel to the graph of y=-2x-10 and passes through (-1,2)
Step-by-step explanation:
y= -2x
that is the answer
The table shows the shipping fee options for two online marketplaces.
Online Market Shipping Fees
Deals Flat fee of $12
Sell Ur Stuff 11% of selling price
If you sell a smart phone online for $115, how much will you pay if you use the online market with the lesser fee?
Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.
If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:
115 x 0.11 = X 12.65 = X
Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.
Learn more in https://brainly.com/question/25206811
The graph below represents the motion of a car.
What is the average speed of the car?
Answer: 2 Kilometers(km) a minute(min).
Step-by-step explanation:
If we look at the graph, the 1km and 2min meet.
Answer:
24 km/h
Step-by-step explanation:
The graphic shows 4 km in ten minutes
[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]
I hope this help you
The price of a car that was bought for $20,000 has depreciated 8% yearly.
Write a model to describe the value of the car.
A.f(t)=20,000(0.92)t
B.f(t)=20,000(1.92)t
C.f(t)=20,000(0.08)t
D.f(t)=20,000(1.08)t
Step-by-step explanation:
[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]
What is the probability of spinning red on and then yellow
The equation y=1/9x relates proportional quantities x and y. What is the value of y is 4?
Answer:
x=0.0278 or 1/36
Step-by-step explanation:
y=4
So,y=1/9x
4=1/9x
36x=1
x=1/36
x=0.0278
5 phần 4 cộng x bằng trừ 1 phần 2
Answer:
5
-
2..................
Use the graph below to find the x-and y-intercepts.
x-intercept : 2 ; y -intercept : 6
x- intercept: - 3; y-intercept : 6
X -intercept : 2 ; y -intercept : -3
X -intercept : 6; y-intercept : 2
Answer:
x-intercept : -3 and y-intercept 6
Step-by-step explanation:
x-intercept is the point where the graph crosses the x-axis.
y-intercept is the point where the graph crosses the y-axis.