Answers
Easy evaluation!
[tex]5( ln( |4x - 15| ) + c[/tex]
Step-by-step explanation:
Feel free to ask if you're left with any doubts.
Answer:
[tex]\large \text{$ 5 \ln|4x-15|+C $}[/tex]
Step-by-step explanation:
[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}[/tex]
[tex]\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}[/tex]
Related Questions
See image attached
Thanks!!!!
Answers
12g^5/h :)
Answer:
[tex]\frac{12g^{5} }{h}[/tex]
Step-by-step explanation:
[tex]\frac{12g^{8}h^{4} }{g^{3}h^{5} } =12g^{(8-3)} h^{4-5} =12g^{5} h^{-1} =\frac{12g^{5} }{h}[/tex]
Hope this helps
A shipping box in the shape of a rectangular prism has the dimension shown.
What is the volume of the box in cubic feet?
Answers
Answer:
18 feet³
Step-by-step explanation:
3 · 3 · 2 =
9 · 2 =
18 feet³
If the simple interest on $7000 for 10 years is $6300, then what is the interest rate?
Answers
hope this helps!
A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?
Answers
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
t
Angle Relationships:Question 4
Parallel Lines m and n are cut by a transversal, t, as shown.
If mz3 is 60°, what is the m25?
N
Select one:
m
3/4
o
O
60° because 23 and 25 are alternate exterior angles
O
60° because 23 and 25 are alternate interior angles
6/5
7/8
n
O 60° because 23 and 25 are supplementary angles
60" because 23 and 25 are corresponding angles
Answers
Answer: 60° because 23 and 25 are alternate interior angles
Step-by-step explanation:
please help me answer this
Answers
Answer:
(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)
Step-by-step explanation:
In these intervals, the y value is decreasing.
Will mark brainliest if given the right answer Solve the given system of equations. y = 8x + 6
y = 32x
Answers
Answer:
( [tex]\frac{1}{4}[/tex], 8 )
Step-by-step explanation:
y = 8x + 6 → (1)
y = 32x → (2)
substitute y = 32x into (1)
32x = 8x + 6 ( subtract 8x from both sides )
24x = 6 ( divide both sides by 24 )
x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]
substitute this value into either of the 2 equations and solve for y
substituting into (2)
y = 32 × [tex]\frac{1}{4}[/tex] = 8
solution is ( [tex]\frac{1}{4}[/tex], 8 )
4. Solve the equation: -18 = 6(2 + x)
Answers
[tex]~~~~~~6(2+x) = -18\\\\\implies 2+x = -\dfrac{18}6\\\\\implies 2+x = -3\\\\\implies x = -3-2\\\\\implies x =-5[/tex]
Given equation:
-18 = 6(2 + x)Step-by step solution;
Simplifying the distributive property;
⇒ -18 = (6 × 2) + (6 × x)
Further simplifying the distributive property;
⇒ -18 = (12) + (6x)
Subtracting 12 to both sides of the equation;
⇒ -18 - 12 = (12) + (6x) - 12
Simplifying both sides of the equation;
⇒ -30 = (6x)
Dividing 6 to both sides of the equation;
⇒ -30/6 = (6x)/6
⇒ -5 = x
Therefore, the value of "x" is -5.
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Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rhombus? E(2, 5), F(1, 3), G(2, 1), H(3, 3) Sammy can use the distance formula to show that the opposite sides have equal slopes. Sammy can use the distance formula to show that all sides are equal. Sammy can use the slope formula to show that the opposite sides have equal slopes. Sammy can use the slope formula to show that all sides are equal.
Answers
Answer:
B. sammy can use the distance formula to show that all sides are equal
Step-by-step explanation:
Short explanation: I took the test
Actaul explantion:
- Hi! ive been having trouble submitting my answer recently (and for what reason, i have no clue) but attached is the full explantion with step by step help on why the answer is the answer!
- i hope you take the time to read it!
- I hope this helped!! thank you so much for reading my answer :)) ~addison~
Answer:
Step-by-step explanation:
Sammy can use the distance to show opposite sides have equal slopes
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbie earned a total of 765 for the week, how many hours did debbie work
Answers
Using a system of equations, it is found that Debbie worked 45 hours during the week.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Amount of hours worked by Juan.Variable y: Amount of hours worked by Debbie.Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
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A semicircle had an area of 76.97 km squared. Find it's radius
Answers
Answer:
[tex]r = 7\ km[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Since we know that a semicircle is half of a circle, we can say the area is:
[tex]A = \frac{1}{2}\pi r^2[/tex]
From here solve for r:
[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]
A rectangular prism has a volume of
100 cm cubed. The base of the prism is a square,
and the height is the product of the length
and width of the prism. Find the
exact
dimensions of the prism.
Answers
The exact dimension of the prism is as follows;
height = x²length = xwidth = xVolume of a rectangular prismvolume of rectangular prism = Bh
where
B = base areah = height of the prismTherefore,
volume = 100 cm³
Hence, the base of the prism is a square. The whole side of the base is equal.
Therefore,
length = width = x
x² = h
Therefore,
x² × x × x = 100cm³
x⁴ = 100
volume = x = [tex]\sqrt[4]{100}[/tex]
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PLS HELP 50 POINTS
What is the area of this figure?
Enter your answer in the box.
cm²
Answers
Answer:
20
Step-by-step explanation:
First, the rectangle is 10 by 5, so an easy 50. Then we have the triangle. The base is 5, and since the whole height is 18 and the rectangle's is 10, 18-10=8. The formula for a triangle is 1/2(b)h, so:
1/2*5=2.5
2.5*8=20 cm
Hope this helps!
Select the correct answer.
The numbers of pages in the books In a library follow a normal distribution. If the mean number of pages is 180
and the standard devlation is 30 pages, what can you conclude?
A. About 60% of the books have fewer than 150 pages.
B. About 16% of the books have fewer than 150 pages.
C. About 95% of the books have more than 150 pages.
D. About 16% of the books have more than 150 pages.
Answers
Answer:
there are 83 percent of books
Classify each polygon by its number of sides.
Drag the choices into the boxes to correctly classify each polygon.
Answers
Answer choices for shape number 1:
A Pentagon
Answer choices for shape number 2:A Dodecagon
Answer choices for shape number 3:A Decagon
Sure hope this helps you
Suppose that x has the density function f(x) = cx 0 < x < 2 identify c
Answers
The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
What is probability density function?The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.
Given that:
[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]
Here we can see that the value of x is varies as 0,1,2
So at 0,1,2 the value of the function is
[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]
So the probability density function is given as:
[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]
[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]
Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
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5. Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
Answers
Step-by-step explanation:
Formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
……………………………………………………………
if c, d, e, and f are positive real numbers
then
c f + d e is a positive number.
then
The product of the two complex numbers
lies in Quadrant 1 or Quadrant 2.
Since , c, d, e, and f are positive real numbers
Then
The two complex numbers c + d i and e + f i lie in Quadrant 1
We want to find an example of two complex numbers
That lie in Quadrant 1 ,such that ,their product lies in the other possible
Quadrant, which is Quadrant 2.
EXAMPLE:
Let c + d i = 1 + i
e + f i = 2 + 3i
By applying the formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
We get :
(1 + i)(2 + 3i) = -1 + 5i
these are true or false i need help with number 3 if u want to help with the others your welcome
Answers
Answer:
3. True, wall clouds are good indicators that a tornado could form
Step-by-step explanation:
HELPPPPPPPPPPP MEEEEE
Answers
What is the solution to 3|–3x 9| = –18? x = –5 x = 5 or x = 1 x = –5 or x = 1 no solution
Answers
Answer:
81
Step-by-step explanation:
that is the solution above
An exponential regression equation relative to the population growth of a state is determined to be = 1.182-(134)", where is the
population of the state and xis number of years since 1900. Based on this equation approximately what is the population of the state in 19492
OA 1.998.723
OB 4.846
OC 78
OD.1.690.968
Answers
Answer:
A. 1,998,723
Step-by-step explanation:
1.182(1.34)^49
Find the output for the graph
y = -2x +6
when the input value is 4.
y = [?]
Answers
Answer:
x=2
Step-by-step explanation:
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
Answers
Which is equivalent to tan θ?
A sinθ/cosθ
B secθ/cscθ
C cosθ/sinθ
D cscθ/secθ
Which one is it, and answer quick, and don't be a troll.
Answers
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
What is tanθ?Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
tanθ = y/x, sinθ = x and cosθ = ySubstituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
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11, 15, 19,... Find the 46th term.
WILL GET BRAINLIEST!!!!!!!!
Answers
Answer:
191
Step-by-step explanation:
the rule is +4 so 11+45*4=191 (45 is the number not including the first one)
191 is the answer
Answer:
191
Step-by-step explanation:
First, determine if the sequence is arithmetic or geometric.
If it is arithmetic, the difference between consecutive terms is constant.
If it is geometric, the ratio between consecutive terms is constant.
[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]
As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 11d = 4Substituting the given values into the formula to find an equation for the nth term:
[tex]\implies a_n=11+(n-1)4[/tex]
[tex]\implies a_n=4n+7[/tex]
Therefore, to find the 46th term, substitute n = 46 into the equation:
[tex]\implies a_{46}=4(46)+7=191[/tex]
Kianna and her friends collected pledges for a local walk-a-thon.
They recorded the number of pledges they each received in a frequency table.
Chart with Pledges and their Frequency. 30 to 39 has frequency as 1, 40 to 49 has frequency as 7, 50 to 59 has frequency as 4 and 60 to 69 has frequency as 1.
How many walkers received more than 39 pledges?
A. 13
B. 11
C. 7
D. 12
Answers
Answer:
Its 12
Step-by-step explanation:
It says what is MORE than 39 so you count every "I" and you get 12.
PLS help quickly
Image is attached below
(Answer is !15/23!, I ended up doing it myself and actually got it correct)
Answers
Answer: ok so the answer is 15/23 , as a fraction .
Step-by-step explanation: there are 6 blue tokens , 9 green tokens and 8 red tokens . We have to know how many tokens in total so we add them and the answer is 23 so 23 tokens in total . He asked about the probability of green or blue tokens . So add how many green or blue tokens are there so the answer is 15 . So the probability of finding green or blue tokens is 15 over 23 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
draw a triangle with angle measures of 45 and 32 and included side of 2 inches
Answers
Answer:
Step-by-step explanation:
To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.
StartFraction 12 eggs Over 2 tablespoons EndFraction
StartFraction 15 eggs Over 3 tablespoons EndFraction
StartFraction 24 eggs Over 4 tablespoons EndFraction
StartFraction 9 eggs Over 1.5 tablespoons EndFraction
Answers
Answer:
all but 15 over three
Step-by-step explanation:
because 1/6 x2 =2/12, 1.5=9 since 1=6 and half would be 3, and 4x1/6=4/24
Help!! I'm confused.
Answers
Answer:
12 seconds
Step-by-step explanation:
we need to find the Lcm which is 12
they both flash after 12 seconds
Answer:
Every 12 seconds
Step-by-step explanation:
You must find the LCM (Least common denominator)
4 x 3 = 12
Because 3 goes into 6 and 4 is four so the LCM is 12