Answer:
1.5
Step-by-step explanation:
Answer: y=-8x -12
Step-by-step explanation:
-8x - y =12 to solve for y add -8x to both sides
+8x +8x
-y = 12 +8x Now divide each side by -1
y = -8x -12
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.
850 people took part in a marathon. 42% of them were women and the
rest were men.
(a) How many of the participants were women?
We are going to do a proportion with the effective number and the percentage
42% of 850 are women
42 : 100 = x : 850
x = (850 * 42)/100 = 357
The women were 357
Answer:
[tex] \frac{42}{100} \times 850 = 357womens[/tex]
Donna Divider sees the “Multiples of 5” list and says, “Multiples of 5 are all divisible by 5! They can all be divided by 5 with no remainder!” Is Donna correct? Explain why this is so.
Answer:
Donna is correct
Step-by-step explanation:
Since every number that is a multiple of 5 is 5 times a number, it means that that number can be divided by 5 and result in the other number that produced it. Meaning there is no remainder.
For the set C= {6,8}, determine n(C).
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
Hope it helps...
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
Give an expression in simplified for the perimeter of the figure below.
Answer:
14x + 10
Step-by-step explanation:
distribute and add
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
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!
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
Is -4,488/24 positive or negative?
Answer:
negative
Step-by-step explanation:
positives and negatives make a negative
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.
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
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
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]
Rewrite 3/2 : 1/4
as a unit rate.
Answer:
6
Step-by-step explanation:
That would be:
3 6
---- -------
2 4
---------------- = -------------- = 6 This is the unit rate.
1 1
----- ------
4 4
Answer:
6
Step-by-step explanation:
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
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
Need help asap! HDTV screens usually have a width-to-height ratio of 16:9. Which screen dimensions are in the same proportion?
26in by 19in,
48cm by 27cm,
4ft by 3ft,
28in by 21in
Answer:
48cm by 27cm
Step-by-step explanation:
[tex] \frac{48}{27} = \frac{48 \div 3}{27 \div 3} = \frac{16}{9} [/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!!
Can you please help me with this
Answer:
the first one
Step-by-step explanation:
7 - (-5) - 1 = 7 + 5 - 1 = 11
3 + 9 - 18 = -6
4 + (-14) - 5 = 4 - 14 - 5 = -15
8 - 12 - (-4) = 8 - 12 + 4 = 0
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]
Can someone help me , & help me understand the symbols better ? I really need help by someone who’s good at this !
Answer:
section 3 (numbered top to bottom left to right)section 7Step-by-step explanation:
The symbols of interest here are ...
∪ -- union. Everything that is in either of the sets.
∩ -- intersection. Everything that is in both of the sets.
superscript C -- complement. Everything that is not in the set. An apostrophe (') can also be used to signify the complement.
__
(a) A∩B∩C'
In the first attachment, set A is all of the sections marked 2, 3, 5, 6. Set B is all of the sections marked 3, 4, 5, 7. The sections in both sets are where the circles for A and B overlap:
A∩B = {3, 5}
The sections that are not in set C are 1, 2, 3, 4. So, the one section that is in A∩B, but outside C is section 3.
The checked section is shown in the second attachment.
__
(b) A'∩B∩C
In the first attachment, set A' is all of the sections marked 1, 4, 7, 8. These are all of the sections not in set A. The ones of these that are also in set B are 4 and 7. And the one of these that is also in set C is section 7.
The checked section is shown in the third attachment.
What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x. 9.7 m 10.4 m 37.3 m 38.6 m
Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:
[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]
Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:
[tex]cos75=\frac{10}{x}[/tex]
Now isolate the variable. Multiply both sides by x:
[tex]x(cos75)=x(\frac{10}{x} )[/tex]
The x's on the right side cancel each other out. Simplify:
[tex]x*cos75=10[/tex]
Now divide both sides by cos75°:
[tex]\frac{x*cos75}{cos75} =\frac{10}{cos75}[/tex]
The cos75° on the left side cancels each other. Simplify:
[tex]x=\frac{10}{cos75}[/tex]
Insert this value into a calculator to simplify the value of x:
[tex]x=38.6[/tex]
The hypotenuse is 38.6 m.
:Done
Answer:
D) 38.6
Step-by-step explanation:
just took the test
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
HELP ME ASAP
If measuring the volume of a liquid is in milliliters (mL), what are the units if I wanted to measure the volume of a solid (like a cube)?
Answer:
cm3,m3 etc...
Step-by-step explanation:
SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)
e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like
V=L x W x H
=3 x 3 x 4
=36 cm3
That's how Volume is calculated
Ashley wants to travel to Florida with her friends. A round trip plane ticket is $299. She has $42. Her parents are willing to chip in 3 times whatever she saves for the trip. She can babysit on the weekends for $20/hour. How many more hours will Ashley have to work until she has enough money for the trip?
Answer:
hi
Step-by-step explanation:
need help! Vertical stretch of 7, up 8, reflect over x axis
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me
Answer:
10 inches
Step-by-step explanation:
Given:
Area of pizza = 78.5 in²
To find:
Minimum width of placement to be placed underneath the pizza so that it does not touch the table?
Solution:
We are actually required to find out the diameter of the circular pizza here.
That will be the minimum width of the placement to be placed underneath the pizza so that pizza does not touch the table.
Let us have a look at the formula of area of a circle.
[tex]A=\pi r^2[/tex]
Where [tex]r[/tex] is the radius of the circle
We are given that
[tex]A = 78.5\ in^2[/tex]
[tex]\Rightarrow 78.5 = \pi r^2\\\Rightarrow 78.5 = 3.14\times r^2\\\Rightarrow \dfrac{78.5}{3.14} = r^2\\\Rightarrow r^2=25\\\Rightarrow r =5\ in[/tex]
Now, we know that the diameter is given as twice of the radius.
So, minimum width required = Diameter = 2 [tex]\times[/tex] 5 = 10 inches
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.
Find x if AB = 9, BC = 2x - 5,
and AC = x + 9
Answer:
x = 5
Step-by-step explanation:
Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:
AB + BC = AC
Now, using the given values, we can substitute in for the equation and solve for x:
AB + BC = AC
9 + 2x - 5 = x + 9
2x + 4 = x + 9
x = 5
Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.
Cheers.
Answer:
x=5
Step-by-step explanation:
AB + BC = AC
9+ 2x-5 = x+9
Combine like terms
2x+4 = x+9
Subtract x from each side
2x+4-x = x+9-x
x+4 = 9
Subtract 4 from each side
x+4-4 = 9-4
x=5