Answers
Answer:
Step-by-step explanation:
y = 3(4x + 1)^1/2 - 2x
dy/dx = 3*1/2(4x + 1)^-1/2 * 4 - 2
= 4 * 1.5 (4x + 1)^-1/2 - 2
= 6(4x + 1)^-1/2 - 2
= [6/√(4x + 1)] - 2
y = 3(4x + 1)^1/2 - 2x
∫3(4x + 1)^1/2 - 2x . dx
= 3 * 1/4 * (4x + 1)^3/2 / 3/2 - x^2 + C
= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C
= 1/2((4x + 1)^3/2 - 2x^2) + C.
Answer:
Step-by-step explanation:
[tex]y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}} \, dx -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3} }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C[/tex]
Related Questions
1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)
2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³)
Answers
2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7
The temperature was 4 degrees at midday.
By evening, the temperature was -6 degrees.
What was the change in temperature?
Answers
Answer:
the temp dropped about 10. degrees to -6
Find XZ if Y is the midpoint of XZ, XY = 2a + 11, and YZ = 4a - 5
Answers
Answer:
XZ=54
Step-by-step explanation:
X___Y___Z
XY= YZ
2a+11=4a-5
4a-2a= 11+5
2a=16
a=16/2
a=8
XY=2a+11=2(8)+11=16+11=27
YZ=4a-5 = 4(8)-5=32-5=27
XZ=XY+YZ =27+27=54
I hope I helped you^_^
What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection
Answers
Answer:
Reflection is shown in the graph.
a) make h the subject of the formula
T=26- h/500
b) the outside air temperature T°C,of an aircraft at a height, h feet , given by
T=26- h/500
the outside air temperature of an aircraft is -53°C
1 metre=3³/8 feet
calculate the height in metres of the aircraft
Answers
Answer:
11703.7 metres
Step-by-step explanation:
* means multiply
/ means divide
plug in the values
T=26- h/500
-53 = 26- h/500
-53 -26 = h/500
-79 = h/500
-79 * 500 = h
-39500 = h
-39500 is in feet
3³/8 =
39500 / 3.375 =
11703.7037037 metres
solve for the value of t
Answers
Answer:
24
Brainliest, please!
Step-by-step explanation:
68 + (5t - 8) = 180
5t + 60 = 180
5t = 120
t = 24
Answer:
24
Step-by-step explanation:
5t-8 and 68 are the angles of a straight line so their addition will be180°.
5t-8 + 68 = 180
5t + 60 = 180
5t = 180-60
5t = 120
t= 120/5
t= 24
Find three consecutive integers that have the sum of -402
Answers
Answer:
-135, -134, -133
Step-by-step explanation:
Hi there!
Let x be equal to the first integer in the set of three consecutive integers.
Let x+1 and x+2 be the consecutive integers.
We're given that they have a sum of -402.
We can construct an equation:
[tex](x)+(x+1)+(x+2)=-402[/tex]
Combine like terms:
[tex]x+x+1+x+2=-402\\x+x+x+1+2=-402\\3x+3=-402\\3x=-405\\x=-135[/tex]
Therefore the first integer is -135.
The next two consecutive integers after -135 is -134 and -133.
Therefore, the three consecutive integers are -135, -134 and -133.
I hope this helps!
Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.
What is the least number of visits he needs to make in order to earn a free movie ticket?
Answers
reason: 150-60-12.5=77.5
just divide 12.5 into 77.5 and it gives you 6.2 so to be on the safe side id round up to 7. if it doesn’t give you that option then do 6.
Solve each for X. Show your work
2x - 3(x + 5) = -10
Answers
2x - 3(x + 5) = -10
2x - 3x - 15 = -10
2x - 3x = -10 + 15
-x = 5 / : (-1)
x = -5 ← the end
Help anyone can help me do this question,I will mark brainlest.
Answers
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
you are totally correct
The ratio of vowels to Constance to a paragraph is 3:5 there are 280 letters in the paragraph how many are vowels how many are consonant
Answers
Answer:
280/8 = 35 "sets"
35*3 = 105 Constance
35*5 = 175 vowels
Step-by-step explanation:
There are 105 consonants and 175 vowels in a paragraph.
What is vowels and consonants?Vowels (such as a, e, I o, and u) and consonants combine to form words (the rest of the alphabet). The letter "y" is a little odd since it can function as a vowel or a consonant depending on the context. Spelling will be made easier for you if you understand how vowels and consonants combine to form words and sounds.
a speaking sound made by people when their teeth, tongue, or lips obstruct the breath from leaving their mouths. grammar. Except for the English vowels a, e, I o, and u, a consonant is a letter that represents a sound made in this way.
Given:
The ratio of vowels to Constance to a paragraph is 3:5 there are 280 letters in the paragraph.
First to find the number of sets in the paragraph as
[tex]\frac{280}{3+5} = \frac{280}{8} = 35[/tex]
Therefore, there are 35 sets in the paragraph.
So, 35 x 3 = 105 are consonants and
35 x 5 = 175 are vowels.
To know more about the vowels and consonants, click on the link
https://brainly.com/question/1066914
#SPJ2
PLEASE HELP ASAP I NEED AN ANSWER WITHIN 10 MIN PLEASE
Answers
Answer:
hope this helps you
have a great day
Rewrite as a simplified fraction
0.67
7 is repeating
Answers
Answer:
[tex]\frac{17}{25}[/tex]
Step-by-step explanation:
So because it is a repeating decimal we have to round it off first. We can round it to the nearest hundredth making it 0.68. This then becomes [tex]\frac{68}{100}[/tex] as a fraction which can be reduced to its lowest terms by dividing both the numerator and denominator by 4 and then it becomes [tex]\frac{17}{25}[/tex].
HOPE THIS HELPED
Find the measure of b.
A. 70
B. 110
C. 75
D. 100
Answers
Answer: C. 75
Concept:
Here, we need to know the idea of quadrilaterals in a circle.
The opposite angles of quadrilaterals in a circle (cyclic quadrilaterals) are supplementary, meaning they add up to 180°
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
The opposite angle of b = 105°
Given expression
b + opposite angle of b = 180°
Substitute values into the expression
b + 105 = 180
Subtract 105 on both sides
b + 105 - 105 = 180 - 105
b = 75°
Hope this helps!! :)
Please let me know if you have any questions
pls help with the last question ---------------
Answers
In the past year Abdul watched 18 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answers
Answer:
45%
Step-by-step explanation:
18/40
You multiply this by 10/10 to get
180/400
And then you divide by 4 to get
45/100
= 0.45
= 45%
A line is parallel to the x-axis and passes through the point (-5,4)
What is the equation of that line, the slope of that line, and what would be the slope of a line perpendicular to that given line?
Answers
9514 1404 393
Answer:
y = 4slope: 0slope of perpendicular: undefinedStep-by-step explanation:
The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...
y = constant
__
For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...
y = 4
As we said above, the slope of that horizontal line is zero.
The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.
Terri's project for the Math Fair is a magnificent black box that she called a function machine. If you put 3 into her machine, the output is 8. If you put in 10, the output is 29; and if you put in 20, the output is 59. Homework help
a. What would her machine do to an input of 5? What about -1? What about x?
b. Write an equation for Terri's machine
Answers
Answer:
a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.
An input of x gives an output of 3x - 1
b) y = 3x - 1
Step-by-step explanation:
The pattern is that you multiply the number by 3 then subtract 1.
3*3 - 1 = 9 - 1 = 8
10 * 3 - 1 = 30 - 1 = 29
20 * 3 - 1 = 60 - 1 = 59
So:
a)
For an input of 5,
5 * 3 - 1 = 15 - 1 = 14
For an input of -1:
-1 * 3 - 1 = -3 - 1 = -4
For an input of x:
x * 3 - 1 = 3x - 1
So the equation is
b) y = 3x - 1
where x is the input value.
it takes 2 hours to bake 8 sheets of cookies. if Brandom and his mother boeing baking at 4:00 pm, when will they finish baking the cookies
Answers
Ill give brainlyest I just need help asap!
solve for x in the problem below and show all work
7x - 5x/3 (20/x - 8) -48=0
Answers
Let’s work this out step by step.
The first thing you want to do is move that 48 to the other side. To do that, add 48 to both sides:
7x-5x/3(20x-8)=48
Now, the equation isn’t equal to zero… so it is solvable! Remember in order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction. So, let’s start by multiplying the (-5x/3) by the components inside the parentheses to get rid of the parentheses altogether!
7x-100x/3x+40x/3=48
Since both the numerator and denominator have an “x” in them in “100x/3x”, you can cancel out the “x”s to just get 100/3, which is 33.333333
7x-100/3+40x/3=48
Let’s get rid of that 100/3 by adding it to both sides.
7x+40x/3=81.33333333333
Transform 7x to a fraction that can be added to 40x/3 (common denominators)
7x=7x/1
7x/1* (3/3)= 21x/3
Now, add the two fractions together
21x/3+40x/3= 61x/3
61x/3=81.333333333
Get rid of the 3 by multiplying on both sides:
61x= 244
Divide by 61 to get x
X=4
Hope this helped! Comment if you have any questions!
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answers
Answer:
1.3Step-by-step explanation:
Mean is the average:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3find the interest where principal (P) Rs 1400 time 2 years ,rate of interest (R) is 5%
Answers
Answer:
rs140
Step-by-step explanation:
I=P×T×R/100
1400×2×5/100
2800×5/100
14000/100
140
Step-by-step explanation:
Principle(p)= 1400
time= 2 year
rate= 5%
interest= p×t×r/100
= 1400×2×5/100
= 14000/100
=140
Please help me, I’m not that smart!
Answers
Answer:
[tex] \frac{16 {d}^{3} }{ {c}^{2} } [/tex]
Step-by-step explanation:
[tex] {4}^{2} {c}^{ - 2} {d}^{3} {e}^{0} [/tex]
➡️ [tex]16 {c}^{ - 2} {d}^{3} \times 1[/tex]
➡️ [tex]16 {c}^{ - 2} {d}^{3} [/tex]
➡️ [tex]16 \times \frac{1}{ {c}^{2} } \times {d}^{3} [/tex]
➡️ [tex] \frac{16 {d}^{3} }{ {c}^{2} } [/tex]
5(x + 1) - 8 = 5x(2-4)
what is the value of x?
a. -5
b. -1/5
c. 5
d. 1/5
Answers
Answer:
d) 1/5
Step-by-step explanation:
5(x + 1) - 8 = 5x(2-4)
5x+5-8 = 5x(-2)
5x-3=-10x
15x = 3
x = 1/5
Answer:
d. 1/5Step-by-step explanation:
5(x + 1) - 8 = 5x(2-4)
=> 5x + 5 - 8 = 10x - 20x
=> 5x + 20x - 10x = 8 - 5
=> 15x = 3
[tex] = > x = \frac{3}{15} [/tex]
=> x = 1/5 (option d) (Ans)
Help please plEase bro
Answers
Answer:
it seems like the same length as 27 but its probably 27 or in that range like 26 or 28 even.
Step-by-step explanation:
hope this helps
If 2x - 4= 16 for some value of x, then
what is the value of x + 2 for the same
value of x?
Answers
Answer:
12
Step-by-step explanation:
2x - 4= 16
Divide by 2
2x/2 -4/2 = 16/2
x -2 = 8
Add 4 to each side
x-2+4 = 8+4
x+2 = 12
Step 1:
2x - 4 = 16
+4 = +4
2x = 20
2x/2 = 20/2
x = 10
Step 2:
x + 2
10 + 2 = 12
So your answer is 12.
[tex]5^{6}[/tex]
Please show work:
Answers
5x5x5x5x5x5= 15625
If you’re looking for a way to do the math with a calculator, however, just multiply 5*5, then that answer with 5, and repeat until you’ve done with six “5”s. For that method, your original 5*5 counts as two of your six “5”s.
11-3tothepowerof2+(11-3)tothepowerof2
Answers
Answer:
66
Step-by-step explanation:
11 - 9 + 8^2
11 - 9 + 64
= 66
2sin60° sin90°+ cos60°cos0
Answers
Answer:
[tex]\sqrt{3 }[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Using exact values
2sin60°sin90° + cos60°cos0°
= 2 × [tex]\frac{\sqrt{3} }{2}[/tex] × 1 + [tex]\frac{1}{2}[/tex] × 1
= [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2}[/tex] ← exact value
Name:
Date:
Bell: Homework 5: Multi-Step & Compound
Inequalities
** This is a 2-page documenti **
Directions: Solve, graph, and write the solution to each inequality in interval notation,
1.-7a - 11 <1-10
2. 5-9(8 - 2x) = 2x - 115
Interval Notation:
3.-2(7 + y)2 -8(y + 1)
Interval Notation:
4.-5(k+ 4) 2-(3k + 6)
Interval Notation:
Interval Notation:
3(2x + 7)
> x+1
-3
6. r + 10 S-3(2r - 3) + 6(r + 3)
5.
Interval Notation:
Interval Notation:
7.-8m - 12 > -5(m - 8) - 3(m - 7)
8. 18(9-3)=-2{q+7)
Interval Notation:
Interval Notation:
O Gina Wilson (All Things Algebra
Answers
Step-by-step explanation:
what you have written I can't send one thing on