Answer:
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
Step-by-step explanation:
Given that:
[tex]x In(x) = y( 1+ \sqrt{8+ y^2}) \ } \ \dfrac{dy}{dx}[/tex]
[tex]xln(x) *dx= (y+y \sqrt{(8+y^2}) \ dy[/tex]
[tex]\int xln(x) dx = \int(y+y\sqrt{(8+y^2})) \ dy[/tex]
[tex]\int lnx (x)dx =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2^{)3/2})[/tex]
[tex](lnx \dfrac{x^2}{2})-\int((\dfrac{x^2}{2})\times \dfrac{1}{x} =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-\int(\dfrac{x}{2}) =(\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +C= (\dfrac{y^2}{2 }+(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
For y(1) = 1
[tex]((ln(1))(\dfrac{1^2}{2}))-(\dfrac{1^2}{4}) +C= (\dfrac{1^2}{2 }+(\dfrac{1}{3})(8+1^2)^{3/2})[/tex]
[tex](0)-(\dfrac{1}{4}) +C =(\dfrac{1}{2} +(\dfrac{1}{3})(3)^3)[/tex]
[tex]C=(\dfrac{19}{2}) +(\dfrac{1}{4})[/tex]
[tex]C=\dfrac{39}{4}[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +(\dfrac{39}{4}) = (\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
Activity
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Part A
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for her purchase at the clothing store.
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.
Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
please answer fast! teehee
Answer:
y = 9
Step-by-step explanation:
∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.
Therefore,
m<KHL = m<FHL
Thus:
6y = 4y + 18
6y - 4y = 18 (subtraction property of equality)
2y = 18
y = 18/2 (division property of equality)
y = 9
Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........
Please find the percent of change rounding to the nearest tenth of a percent
Answer:
the answer is decreases
What is the correct proportion to find 22% of 86?
Answer:
its either 18.92
or 25.58%
but I believe it is 18.92 I may be wrong though
Find the sum of 5x+20 and the opposite.write an equivalent expression in standard form justify each step
Answer:
Therefore, the sum of 5x+20 and the opposite is: 0Thus, the equivalent expression is:[tex]5x+20-\left(5x+20\right)=0[/tex]
Step-by-step explanation:
We know that the opposite is the additive inverse. For example, 8+(−8)=0 where 0 is the identity for addition.Given that we have to compute the sum of 5x+20 and the opposite.
Given
5x+20opposite of 5x+20 = -(5x+20)so
The sum of 5x+20 and the opposite:
5x+20 + -(5x+20)
Distribute the Negative Sign
[tex]=5x+20+-1\left(5x+20\right)[/tex]
[tex]=5x+20+-1\left(5x\right)+\left(-1\right)\left(20\right)[/tex]
[tex]=5x+20+-5x+-20[/tex]
Combine Like Terms
[tex]=5x+20+-5x+-20[/tex]
[tex]=\left(5x+-5x\right)+\left(20+-20\right)[/tex]
[tex]=0+0[/tex]
[tex]=0[/tex]
Therefore, the sum of 5x+20 and the opposite is: 0Thus, the equivalent expression is:[tex]5x+20-\left(5x+20\right)=0[/tex]
Choose the one alternative that best completes the statement or answers the question
Answer:
whaat are you talking about coward
A bank received a check for two thousand, six hundred nine dollars and seventy -five cents. How is this written in expanded notation.
Find the value of 542x92+542
Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Answer:
5x+3y
Step-by-step explanation:
2x+3x=5x since they have the same variable.
y+2y
1y+2y u can put a 1 so that would be 3y
5x+3y
whats in improper fraction equal to 9 and 3/5
Answer:
48/5
Step-by-step explanation:
Answer: 48/5
9 multiplied by 5 is 45. Add three to get 48
The amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour
Answer:
thanks 4 the points
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
hellooooooooooooooooooooooooooooooooooo
Answer:
Step-by-step explanation:
Hi
Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!
Answer:
11x^2 - 16x +4
Step-by-step explanation:
In order to simplify, add like terms
(8x^2-7x+2)+(3x^2-9x-6)
8x^2 + 3x^2 = 11x^2
-7x + -9x = -16x
-6 + 2 = 4
now the equation is 11x^2 - 16x +4
Which of the following represents the greatest percent of change?
A. Boots that were originally priced at $90 are on sale for $63
B. A baby that weighed 7 pounds at birth now weighs 10 pounds
C. A bracelet that costs $12 to make is sold for $28
D. A savings account increased from $500 to $600 in one year
Answer:
c
Step-by-step explanation:
a. 63(new) - 90(old) = -27 / 90 = 0.4285*100 = 42.9%
b. 10(new) - 7(old) = 3 / 7 = -0.3*100 = -30 = 30%
c. 28(new) - 12(old) = 14 / 12 = 1.166 * 100 = 116.6%
d. 600(new) - 500(old) = 100 / 500 = 0.2 = 20%
The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33% thus option (C) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
% change = (change)/original x 100
A): (90 - 63)/90 x 100 = 30%
B): (10 - 7)/10 x 100 = 30%
C); (28 - 12)/12 x 100 = 133.33%
D):(600 - 500)/500 x 100 = 20%
Hence "The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33%".
For more about the percentage,
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3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$
The percent of interest is he paying is,
⇒ R = 4.62%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.
Hence, Yearly payments to pay is,
⇒ 12 × 77
⇒ $924
Hence, We get;
⇒ Interest = PRT/ 100
⇒ 924 = 4000 × R × 5 / 100
⇒ 92400 / 20,000 = R
⇒ R = 4.62%
Thus, The percent of interest is he paying is,
⇒ R = 4.62%
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Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at random, what is the expected value for the amount chosen
Answer:
Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is [tex]\frac{7}{13}[/tex].
Step-by-step explanation:
From the given question, the bag contains;
$1 bill = 7
$5 bill = 1
$10 bill = 3
$20 bill = 2
Total number of bills in the bag = 13
Pulling a bill at random, the bills would have an expected value as follows:
For $1 bill, the expected value = [tex]\frac{7}{13}[/tex]
For $5 bill, expected value = [tex]\frac{1}{13}[/tex]
For $10 bill, expected value = [tex]\frac{3}{13}[/tex]
For $20 bill, the expected value = [tex]\frac{2}{13}[/tex]
Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is [tex]\frac{7}{13}[/tex].
What numbers lie between 42 square root
Answer:
√ 42 lies between 6 and 7
Step-by-step explanation:
We know that √ 42 will lie between √ 36 and √ 49
And √ 36 = 6 ; √ 49 = 7
Hence we can be sure that √ 42 lies between 6 and 7
Ten thousand place is how many times the value of thousand
Answer:
thousands
Step-by-step explanation:
it is in the thousands places
I don’t get this please help me
Answer:#1: 1225
#2: 1149
Step-by-step explanation:
Hope this helps! :) ❤❤❤
PLEASE HELP!!
What is the sum of the measures of the exterior angles of this triangle?
282
Step-by-step explanation:
C=180-112=68
A=180-68-51=61
sum of exterior angles=112+119+51=282
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x-23)^{\circ}∠A=(3x−23)
∘
and m\angle B=(2x-12)^{\circ}∠B=(2x−12)
∘
, then find the measure of \angle B∠B.
Is 43
Answer:
74
Step-by-step explanation:
did school asignment
The measurement of ∠ B = 74°
What are Supplementary angles?Two Angles are Supplementary when they add up to 180 degrees.
Given that ∠ A and ∠ B are Supplementary and ∠ A = (3x−23),
∠ B = (2x−12)
According to definition of Supplementary,
∠ A + ∠ B = 180°
(3x−23) + (2x−12) = 180°
5x - 35 = 180°
5x = 180° + 35
5x = 215°
x = 43°
Putting x = 43° in ∠ B = (2x−12)
∠ B = (2*43−12)
∠ B = 86 - 12
∠ B = 74°
Hence, The measurement of ∠ B = 74°
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Find the 64th term of the arithmetic sequence 2, -3, -8, ...
Answer:
-496
Step-by-step explanation:
minus 5
Graph the line
y = - 4/3x + 3
I need help with the steps.
Start by putting a dot at (0,3). Then you just need to go four down and three right from that dot and put another dot. Just repeat that a couple times to make sure it is straight, and connect the dots with a line. You can also go four up and three left from the (0,3) for the other side of the axis.
Step-by-step explanation:
First look at the y-intercept or b (in this case it is 3)
The y-intercept tells us where the line touches in the graph on the Y-axis
(In this case you move up in the Y-axis 3 times)
Put a dot on 3 (in the y-axis)
Now from 3 on the y-axis go down -4 and right 3 since the slope is -4/3
(Slope = rise/run -4 is rise [but since it the 4 is a -4 you go down] and 3 is run)
every time you finish going down -4 and right 3 place a dot on it and repeat if you think you can draw a line then stop and draw the line and you are finished
Answer: (This is in Desmos.com)
PLEASEEEEE IM DESPITE Xd-
Anyone
Will mark branliest
Answer:
B 8.42 seconds
Step-by-step explanation:
421 in 50 seconds
421//50
8.42 seconds
Hope this helps!
-z=8
Evaluate and solve for the variable
Answer:
z=-8
Step-by-step explanation:
Answer:
isnt there supposed to be more numbers?
Step-by-step explanation:
Which expression is equivalent to X
(13),
Ο Ο Ο Ο
4
x9
13
x 6
Answer:
x
Step-by-step explanation:
[tex]\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\
\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\
\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ [/tex]
60 POINTS PLEASE SEND ME A COMPLETED COPY OF THIS "linear functions worksheet: child's growth and prosperity
Answer:
give it to me now and then I'll do it
Answer:
Step-by-step explanation:
3. Simplify the following inequalities.
Answer:
7x+7 > 23-x
group like terms
7x+ x > 23-7
8x > 16
we divide both side by
8x > 16
8 8
so 8 cancelled out 8 living
x > 16
8
x > 2
8
we
What is 4 2/3 divided by 7
Answer:
0.66666666666
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
D is the correct answer
Step-by-step explanation:
hope it helps
have a great day
:)