Answer:
>
Step-by-step explanation:
55 is greater than 35, so the open "mouth" of the greater than sign should go towards 55.
Answer:
>
Step-by-step explanation:
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
x dy/dx + y = 1/y^2
Multiplying both sides by [tex]y^2[/tex] gives
[tex]xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1[/tex]
so that substituting [tex]v=y^3[/tex] and hence [tex]\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}[/tex] gives the linear ODE,
[tex]\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1[/tex]
Now multiply both sides by [tex]3x^2[/tex] to get
[tex]x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2[/tex]
so that the left side condenses into the derivative of a product.
[tex]\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2[/tex]
Integrate both sides, then solve for [tex]v[/tex], then for [tex]y[/tex]:
[tex]x^3v=\displaystyle\int3x^2\,\mathrm dx[/tex]
[tex]x^3v=x^3+C[/tex]
[tex]v=1+\dfrac C{x^3}[/tex]
[tex]y^3=1+\dfrac C{x^3}[/tex]
[tex]\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}[/tex]
How do i solve 16x+9=9y-2x
Answer:
18x+9=9y
Step-by-step explanation:
16x+9=9y-2x
+2x +2x
18x+9=9y
Answer:
please see explanation below
Step-by-step explanation:
Let's solve for x.
16x+9=9y−2x
Step 1: Add 2x to both sides.
16x+9+2x=−2x+9y+2x
18x+9=9y
Step 2: Add -9 to both sides.
18x+9+−9=9y+−9
18x=9y−9
Step 3: Divide both sides by 18.
18x /18 = 9y−9 /18
x= 1 /2y+ (−1 /2)
Answer:
1/2y+(-1/2)
OR
Let's solve for y.
16x+9=9y−2x
Step 1: Flip the equation.
−2x+9y=16x+9
Step 2: Add 2x to both sides.
−2x+9y+2x=16x+9+2x
9y=18x+9
Step 3: Divide both sides by 9.
9y /9 = 18x+9 /9
y=2x+1
Answer:
y=2x+1
HOPE THIS HELPS!!!!!! :)
<3333333333
a dvd player that costs a store $28 is marked up by 80% what is the sale price
Answer:
$50.4
Step-by-step explanation:
Cost = $28
Mark up = 80%
Sale price is:
$28 + 80% = $28*1.8 =$50.4Clara is completing a math project.she has two ropes with length 126cm and 291cm.she wants to cut them into pieces of equal length without remainder.what is the greatest possible length of each smaller pieces of rope??this is my homework so pls kindly help me for the answer i would really appreciate it!✨
Answer:aw45
Step-by-step explanation:
w
please help me with this question asap i’ll give you brainliest
Answer:
C
Step-by-step explanation:
Recall the exponent property that:
[tex]x^{\frac{1}{n}}=\sqrt[n]{x}[/tex]
And vice versa:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]
Thus:
[tex]\sqrt[3]{500} =(500)^{\frac{1}{3}}[/tex]
The answer is C
Answer:
[tex]\Huge \boxed{500^{\frac{1}{3} }}[/tex]
Step-by-step explanation:
Applying rule : [tex]\displaystyle \sqrt[n]{x} =x^{\frac{1}{n} }[/tex]
[tex]\displaystyle \sqrt[3]{500} =500^{\frac{1}{3} }[/tex]
3x 2 + 2x - 5 and -4 + 7x 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 2x - 9}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3 {x}^{2} + 2x - 5 + ( - 4 + 7 {x}^{2} )}[/tex]
When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term.
That means , the expression remains the same.
⇒[tex] \sf{3 {x}^{2} + 2x - 5 - 4 + 7 {x}^{2} }[/tex]
Collect like terms
⇒[tex] \sf{ {10x}^{2} + 2x - 5 - 4}[/tex]
Calculate
⇒[tex] \sf{10 {x}^{2} + 2x - 9}[/tex]
Hope I helped!
Best regards!!
Solve |2x – 6| = 4x+4
Answer:
-6-4=4x-2x
10=2x
x=2÷10
x=5
There are 2 solutions with absolute value equations.
1. |2x-6| = 4x+4
Remove absolute value:
2x-6 =4x + 4
Subtract 4x from both sides:
-2x -6 = 4
Add 6 to both sides:
-2x = 10
Divide both sides by -2:
X = -5
2nd solution
Remove absolute value and add a negative sign to the right side:
2x-6 = -4x -4
Add 4x to both sides::
6x-6 =-4
Add 6 to both sides:
6x = 2
Divide both sides by 6:
X = 2/6
X = 1/3
The two answers are x = -5 and x = 1/3
Solve the quadratic equation using factoring x2 + 3x + 2 = 0.
Ox= 1, x= 2
Ox=-1, x=-2
Ox=1, x=3
Ox=-1, x=-3
Answer:
x= -1 and also x = -2
Which agrees with the second option in your list of answers
Step-by-step explanation:
We look for two numbers whose product is "2" (constant term in your quadratic equation) and which added give "3" (coefficient in the middle term with "x"). So we find the factors 1 and 2:
1 times 2 = 2 and 1 + 2 = 3
So we use these factor to expand the middle term and then factor by grouping:
[tex]x^2+3x+2=0\\x^2+x+2x+2=0\\x(x+1)+2(x+1)=0\\(x+1)(x+2)=0[/tex]
Then for this product of binomials to give zero, each binomial must be zero. That is
x= -1 and also x = -2
Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral.
2x3 - 2x + 1/x2 - 2x dx
Answer:
[tex]x^2+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]
Step-by-step explanation:
Given the integrand [tex]\int\limits{\dfrac{2x^3 - 2x + 1}{x^2-2x} } \, dx[/tex], before evaluating the integral function, we will need to simplify the function first by applying long division as shown in the attachment.
Hence the partial form of the function [tex]\dfrac{2x^3 - 2x + 1}{x^2-2x} } = 2x+4 + \frac{6x+1}{x^2-2x}[/tex]
Integrating its partial sum
[tex]\int\limits \dfrac{2x^3 - 2x + 1}{x^2-2x} }dx = \int\limits (2x+4 + \frac{6x+1}{x^2-2x})\ dx\\\\= \int\limits {2x} \, dx + \int\limits {4} \, dx + \int\limits {\frac{6x+1}{x^2-2x} \, dx\\ = \frac{2x^2}{2}+4x -\frac{1}{2} \int\limits{\frac{1}{x} } \, dx + \frac{2}{13} \int\limits{\frac{1}{x-2} } \, dx[/tex]
[tex]= \frac{2x^2}{2}+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]
[tex]= x^2+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]
NB: Find the partial sum calculation also in the attachment.
what is the awnser to this
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
[tex]P=2w+2l[/tex]
Where w is the width and l is the length.
The width is 4x and the length is 5x+2.
We also know the perimeter is 184. So, substitute:
[tex]184=2(4x)+2(5x+2)[/tex]
Distribute:
[tex]184=8x+10x+4[/tex]
Combine like terms:
[tex]184=18x+4[/tex]
Subtract 4 from both sides:
[tex]180=18x[/tex]
Divide by 18:
[tex]x=10[/tex]
So, the value of x is 10
And we're done :)
1. f(x) = 8 + 11x, Find f-1 (-47)
(Finding inverse functions given an input)
Answer:
f^-1(-47) = -5
Step-by-step explanation:
You want to find the value of x that gives f(x) = -47.
-47 = 8 + 11x
-55 = 11x
-5 = x
Then f^-1(-47) = -5.
The basis for rejecting any null hypothesis is arbitrary. The researcher can set more or less stringent standards by deciding to raise or lower the critical p value. Would the use of a standard of p
Answer:
A P value of 0.05 is considered as the gold standard of the significance level, but it depends on the type of study
Step-by-step explanation:
The scientists make experiments to collect relevant data and their conclusions are often based on statistical analyses of their results. In scientific method, the correct interpretation of the statistical results may be critical for obtaining conclusions. The statistical significance level or 'P value' is an index aimed at summarizing the results of a research. Karl Pearson created the term P value in 1900 and used this index in association with his chi-square test. The P-value can be defined as the probability of observing statistical results that are equal to or more extreme than the one observed when null hypothesis is correct. A P value of 0.05 is generally considered to be correct in many studies; however, this index may change according to the level of significance required for a particular case. It is also important to note the factors that may lead to errors in P value calculation (P>0.05): small sample sizes, errors in study design, errors in measurement methods, etc.
( 2r 2 - 16r + 29 ) ¸ ( r - 5 )
Answer:
-12r^2 + 89r - 145
Step-by-step explanation:
(2r(2)−16r+29)(r−5)
=(2r(2)+−16r+29)(r+−5)
=(2r(2))(r)+(2r(2))(−5)+(−16r)(r)+(−16r)(−5)+(29)(r)+(29)(−5)
=4r2−20r−16r2+80r+29r−145
=−12r2+89r−145
ILL GIVE YOU BRAINLIST !
North Carolina entered the Union x years after Pennsylvania. Which expression shows the year North Carolina entered the Union?
A. 1845 + x
C. 1787 + x
B. 1845 - X
D. 1787 - X
Answer:
Option (C)
Step-by-step explanation:
State Year entered into Union
Pennsylvania 1787
Indiana 1816
Florida 1845
Texas 1845
West Virginia 1863
Since North Carolina entered the Union 'x' years after Pennsylvania, expression that represents the the year North Carolina entered the Union will be = (1787 + x)
Therefore, Option (C) will be the answer.
Answer:
The answer is C
6th grade math help. Can someone explain step by step how to solve #1 please
Answer:
87
Step-by-step explanation:
start with the innermost parenthesis first
{4+3*[5+3*(8)]-4}
order of operations: multiply before you add
{4+3*[5+24]-4}
{4+3*[29]-4}
order of operations: multiply before you subtract
{4+87-4}
solve left to right
{91-4}
87
14y+36=106 solve the problem
Answer:
y = 5
Step-by-step explanation:
14y + 36 = 106. subtract 36 from both sides, so now the equation is 14y = 70 because 36 is cancelled out. now divide both 14y and 70 by 14, which leaves you with y = 5
Solve for y. -15y – -14y = -9
Answer:
9
Step-by-step explanation:
-15 - -14y = -9
two negatives (close together) makes a positive
-15y + 14y = -9
add like terms
-1y = -9
get y alone (divide whats in front of it) and do the same on the other side
-1y/-1 = -9/-1
if you divide two negatives it makes it positive so youll get 9
Solve the equation, and check the solution. If applicable, tell whether the equation is an identity or a contradiction.
2x + 16 = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is ]
(Type an integer or a simplified fraction.)
OB. The solution set is all real numbers), so the equation is an identity
Oc. The solution set is o so the equation is a contradiction.
Answer:
please this search in Google
Answer:
B
Step-by-step explanation:
What is the slope of the line with equation y + 2 = 5 (x - 3) ?
Answer:
Step-by-step explanation:
y + 2 = 5x - 15
y = 5x - 17
slope is 5
If the 11th of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?
Answer:
2
Step-by-step explanation:
Hello, let's note [tex](a_n)[/tex] this sequence and r the ratio, we can write
[tex]a_n=a_0r^n[/tex]
With [tex]a_0[/tex] different from 0 and then
[tex]a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2[/tex]
Thanks
Is -4,488/24 positive or negative?
Answer:
negative
Step-by-step explanation:
positives and negatives make a negative
Solve equation 9(3x+7)-3.5 = -8
Answer: " x = - 2.5 " .
___________________________________________
Step-by-step explanation:
Given:
9(3x + 7) - 3.5 = - 8 ; Solve for "x" ;
First: Let us add "3.5" ; to both sides of the equation:
9(3x + 7) - 3.5 = - 8 ;
+ 3.5 = + 3.5 ;
___________________________________________
to get:
9(3x + 7) = - 4.5 ; [Note that " -3.5 + 3.5 = 0" ; [Cancels out to "0".].
Second: Let us expand the expression on the "left-hand side" of the equation.
" 9(3x + 7) " ;
Note the "distributive property" of multiplication:
" a(b + c) = ab + ac " ;
As such:
9(3x + 7) = 9(3x) + 9(7) = 27x + 63 ;
Third:
Now, replace this term for the original expression, on the "left-hand side" of the equation; & Rewrite the equation:
27x + 63 = - 4.5 ;
Fourth: Now, we can divide each side of the equation by "9" ;
(27x + 63) / 9 = (-4.5)/9 ;
to get:
(27x/9) + (63/9) = (-4.5/9) ;
to get:
3x + 7 = -0.5 ;
Fifth:
Subtract "7" ; from Each side of the equation:
3x + 7 = -0.5 ;
- 7 = - 7 ;
___________________________________________
to get:
3x = -7.5 ; [Note that " +7 - 7 = 0" ; [Cancels out to "0".] ;
___________________________________________
Sixth: Divide each side of the equation by "3";
to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________
3x / 3 = -7.5 / 3 ;
to get:
x = - 2.5 .
___________________________________________
Hope this helps!
Best wishes!
___________________________________________
Step-by-step explanation:
Hey there!
Given;
[tex]9(3x + 7) - 3.5 = - 8[/tex]
Perform the operations in left side.
[tex]27x + 63 - 3.5 = - 8[/tex]
Simplify the like terms and find value of x.
[tex]27x + 59.5 = - 8[/tex]
[tex]27x = - 8 - 59.5[/tex]
[tex]27x = - 67.5[/tex]
[tex]x = \frac{ - 67.5}{27} [/tex]
Therefore the value of x is "-2.5".
Check;
9(3×-2.5+7) - 3.5 = -8
-4.5 - 3.5 = -8
-8 = -8 (True).
Hope it helps...
Make the divisor and dividend a whole number by multiplying the divisor and dividend by
Answer:
100
Step-by-step explanation:
By multiplying both numbers by 100, you'd get
3403 and 830
If you'd multiply by ten, you'd get
340.3 and 83
In this case, it asks both the dividend and the divisor.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G?
Find the prime factorization of the number 26
Answer:
26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.
Answer:
The Prime factorization: 26 = 2 x 13.
Explain:
26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. So the Prime factorization: 26 = 2 x 13.
Hoped I helped
Simplify the expression with the given variable’s ?! 3r-4s, when r= 5 and s= 2/3
Answer:
12.33
Step-by-step explanation:
3r-4s
3×5-4×2/3
15-8/3
12.333
Question Number 3 A high school student earns $65 for mowing one customer's lawn. If he mows 13 lawns in one week, how much money will he earn for that week?
Answer:
$845
Step-by-step explanation:
13 lawns x $65 each = $845
Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of $1,400 on his credit cards. There is a balance of $20,000 owed on Ben’s car which is valued at $38,000. What is Ben’s net worth? a. $96,600 b. $97,600 c. $99,400 d. $106,600
Answer:
c $99,400
Step-by-step explanation:
$195,00-$120,000=$75,000
$75,000+$5,000+$1,400=81,400
$81,400+$38,000-$20,000=$99,400
Ben’s net worth is $99400 which is the correct answer would be an option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
Given that Ben owns a townhome valued at $195,000,
To determine Ben’s net worth
But still owes $120,000 on the loan.
So, 19500 - 120000
⇒ 75000
He has $5,000 in savings and a balance of $1,400 on his credit cards.
So, 75000 + 5000+ 1400
⇒ 81400
There is a balance of $20,000 owed on Ben’s car which is valued at $38,000.
So, 81400 + 38000 - 20000
⇒ 99400
Thus, Ben’s net worth is $99400.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
160 is what % of the sum of 100 and 120 and 160
Answer:
42% I think
Step-by-step explanation:
The total was 380 so divide 160 by 380 (160÷380) and you get .42 or 42%
Answer:
42.1%
Step-by-step explanation:
100+120+160=380
so 160=p*380/100
p=160*100/380≈42.1
Find the median for Andy's test scores: 76, 84, 93, 67, 82, 87. *
Answer:82 Step-by-step explanation: by putting the numbers in order, 82 lands in the middle.