Answer:
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Step-by-step explanation:
The question can be better structured and represented as :
[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]
now the derivative of the function of g(x) is g'(x) which is equal to:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
how to solve the equation 2= -9n +22-n
Answer:
n = 2
Step-by-step explanation:
2 - 22 = -9n + 22 - n - 22
-20 = -9n - n
-20 = -10n
-20/-10 = -10/-10n
-2 = -n
n = 2
Answer:
The value of n is 2.
Step-by-step explanation:
First, you have to collect like-terms :
[tex]2 = - 9n + 22 - n[/tex]
[tex]2 = - 10n + 22[/tex]
Next, you have to subtract 22 on both sides :
[tex]2 - 22 = - 10n + 22 - 22[/tex]
[tex] - 20 = - 10n[/tex]
Lastly, have to divide -10 on both sides :
[tex] - 10n = - 20[/tex]
[tex] - 10n \div - 10 = - 20 \div - 10[/tex]
[tex]n = 2[/tex]
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
$1,672.68
$287.84
$12.32
Answer:
$1672.68
Step-by-step explanation:
HELP PLEASE THANK YOU SO SO SO MUCH <3
rx - sx + y = b solve for y
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Which of these is true about pi? A It is a terminating decimal. B It is an irrational number. C It is a repeating decimal. D It is a ratio of integers.
Answer:
B. It is an irrational number
Step-by-step explanation:
A would not be true because PI does not terminate (end)
B is true, because PI does not repeat or end
C would not be true because PI does not repeat
D just would not be true
How do you know that 8 thousandths is less than 1 hundredth
In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.
Answer:
0.07
Step-by-step explanation:
Anwser: Your anwser is 0.07
Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?
Answer:
it would cost $10.8 for 9 chicken wings.
Step-by-step explanation:
Cost of 22 chicken wings = $26.40
we have to find first, cost of 1 chicken wings
For that we divide both side by 22
cost of 22/22 chicken wings = $26.40/22 = 1.2
Thus, cost of 1 chicken wings = $1.2
to fins cost of 9 chicken wings
we multiply both sides by 9
cost of 1*9 chicken wings = $1.2*9
cost of 9 chicken wings = $10.8
Thus, it would cost $10.8 for 9 chicken wings.
the answer to your question is 10.8
What is the equation to the expression -2-3(-4)?
Answer:
c) -1
Step-by-step explanation:
-2-3-(-4)
=-5+4
=-1
need help solving 3/5+1/4=
Answer:
17/20 or 0.85
Step-by-step explanation:
3 x 4/20 + 1 x 5/20
12/20 + 5/20
( 12 + 5 ) / 20
17/20
( 0.85 )
Solve.
4y - 3 = 5y + 2
Enter your answer in the box.
y = O
Answer:
y=-5
Step-by-step explanation:
Answer:
it's -5
Step-by-step explanation:
4y−34y−3−4y−3−3−2−5=====5y+25y+2−4yy+2y+2−2ySubtract 4y from each side.Combine like terms.Subtract 2 from each side.Simplify.
The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?
Answer:
3500cm^2
Step-by-step explanation:
Area of a triangle= bxh/2
10x10=100
7x10=70
100x70=7000
7000/2=3500
Answer:
3500 cm²
Step-by-step explanation:
The given triangle has an area of ...
A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²
The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².
__
You can see this if you use the enlarged dimensions in the area formula:
A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm
The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?
Answer:
$26.82
Step-by-step explanation:
9 * 2.98 = 26.82
pls mark brainliest, thanks :)
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?
Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11
Answer:
0.5 x 7
Step-by-step explanation:
hope this helps
Round 3,760 to the nearest hundred.
Answer:
3,800
Step-by-step explanation:
Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."
Hope this helps and have a nice day!
Answer:
3,800
I hope this helps!
Prasha has five blocks of wood The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood. Step by step please :).
The weight of the other block of wood is 400 grams.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.
4 of the blocks of wood each have a weight of 650 grams.
∴ (4×650) = 2600 grams is the total weight.
So, the weight of the other block of wood is (3000 - 2600) grams.
= 400 grams.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Which is the definition of a ray?a part of a line that has one endpoint and extends indefinitely in one direction the set of all points in a plane that are a given distance away from a given point lines that lie in the same plane and do not intersect part of a line that has two endpoints
Answer:
a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:
The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.
What is a Ray?In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.
An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.
Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.
Learn more about a ray on:
https://brainly.com/question/1850410
what does ="" mean ?
PLEASE GIVE BRAINLIST
equal
quotation marks
HOPE THIS HELPED
A 150 foot fence encloses a garden. What is the length of each side of the garden?
Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on about 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons
Answer:
Required of volume of tank = 39.62 m3 or 10471.18 gallons
Step-by-step explanation:
Total volume of water collected = Annual Rainfall * Useful Area
Total volume of water collected = 1199.87 * 1.1667
Total volume of water collected = 1399.89 ft3
---1 ft3 = 7.48 gallons
Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178 gallons
----1 ft3 = 1/35.315 m3 = 0.0283 m3
Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3
Workings
Useful area = 61% of 1967
Useful area = 0.61 * 1967
Useful area = 1199.87 sq/ft.
Annual rainfall = 14 inch = 14/12 month
Annual rainfall = 1.1667 ft.
Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it
Answer:
It is not an equal diagram it is showing 1/2 instead of 2/3
Step-by-step explanation:
HOPE THIS HELPS!!! (mark brainliest)
The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The model is representing 2/3.
As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.
It is not an equal diagram it is showing 1/2 instead of 2/3
Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]
[tex]30x+40y= 32 \times 150[/tex]
[tex]30x+40\times (150-x)= 4800[/tex]
[tex]30x+6000-40x= 4800[/tex]
[tex]10x = 6000-4800[/tex]
[tex]x=\frac{1200}{10}[/tex]
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]
Step-by-step explanation:
Sum of angles of triangle add up to 180°
Let the third angle be x
Create an equation and solve for x
[tex] \sf{x + 12° + 40° = 180°}[/tex]
[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]
[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]
Hope I helped!
Best regards! :D
y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well
Answer:
3x-y=-13
Step-by-step explanation:
y-3x=13
Use the commutative property to reorder the terms
-3x+y=13
Change the signs on both sides of the equation
3x-y=-13
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.