Answer:151 in.³
Step-by-step explanation:
Please help we are so confused
Answer:
160 dollars
Step-by-step explanation:
if its 10 less you just have to umm think its just adding (sorry i dont know how to explain)
Assume you earn $41,250 per year in take-home pay. Can you afford the house with a $625.95 per month total mortgage payment that you have been considering in the previous example?
Which system of equations represents the matrix shown below?
7 2 0 9
-1 3 4 26
1 8 4. -32
Answer:
I don't know how to do it...
Answer:
167
Step-by-step explanation:
you take 134 divide by seven by both sides and then you can use a counculator for the rest
Problem 2: Use the Laplace Transforms to solve:
[tex]y'' - y' - 2y= 1 - x , \\ y(0) =y'(0) =1[/tex]
Using the given table of transforms,
[tex]L\left\{ y'' - y' - 2y \right\} = L\left\{ 1-x \right\}[/tex]
[tex](s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) - 2 Y(s) = \dfrac1s - \dfrac1{s^2}[/tex]
(where Y(s) is the Laplace transform of y(x))
Solve for Y(s) :
[tex](s^2 - s - 2) Y(s) - s = \dfrac1s - \dfrac1{s^2}[/tex]
[tex](s^2 - s - 2) Y(s) - s = \dfrac{s-1}{s^2}[/tex]
[tex](s^2 - s - 2) Y(s) = \dfrac{s-1}{s^2} + s[/tex]
[tex](s^2 - s - 2) Y(s) = \dfrac{s^3 + s - 1}{s^2}[/tex]
[tex]Y(s) = \dfrac{s^3 + s - 1}{s^2 (s^2 - s - 2)}[/tex]
[tex]Y(s) = \dfrac{s^3 + s - 1}{s^2 (s + 1) (s - 2)}[/tex]
Decompose the right side into partial fractions:
[tex]Y(s) = \dfrac as + \dfrac b{s^2} + \dfrac c{s+1} + \dfrac d{s-2}[/tex]
Solve for the coefficients.
[tex]\implies s^3 + s - 1 = as(s+1)(s-2) + b(s+1)(s-2) + cs^2(s-2) + ds^2(s+1)[/tex]
[tex]\implies s^3 + s - 1 = -2 b + (-2 a - b) s + (-a + b - 2 c + d) s^2 + (a + c + d) s^3[/tex]
[tex]\implies \begin{cases}-2b = -1 \\ -2a-b = 1 \\ -a+b-2c+d = 0 \\ a+c+d = 1 \end{cases} \implies a=-\dfrac34, b=\dfrac12, c=1, d=\dfrac34[/tex]
Then
[tex]Y(s) = -\dfrac34 \times \dfrac1s + \dfrac12 \times \dfrac1{s^2} + \dfrac1{s+1} + \dfrac34 \times\dfrac1{s-2}[/tex]
Take the inverse transform and solve for y(x) :
[tex]F(s) = \dfrac1s \implies f(x) = 1[/tex]
[tex]F(s) = \dfrac1{s^2} \implies f(x) = x[/tex]
Using the frequency-shifting property,
[tex]F(s) = \dfrac1{s+1} \implies f(x) = e^{-x}[/tex]
[tex]F(s) = \dfrac1{s-2} \implies f(x) = e^{2x}[/tex]
So, the particular solution to the ODE is
[tex]\boxed{y(x) = -\dfrac34 + \dfrac x2 + e^{-x} + \dfrac{3e^{2x}}4}[/tex]
Jenny randomly selects 20 boxes of crayons from the shelf and finds two boxes with at least one broken crayon. If the shelf holds 130 boxes, how many would you expect to have at least one broken crayon?
BD is the perpendicular bisector of AC. What is the perimeter of AABC?
A. 5 cm
B. 9 cm
D 4 cm
C. 14 cm
D, 18 cm
If A+B+C = then prove that: n sin A cos A + sin B cos B + sin C cos C=2 sin A sin B sin C
Answer:
Let a, b, c be the sides that oppose angles A, B, C, respectively. By the Law of Sines,
asinA=bsinB=csinC=d
where d is the circumdiameter of the triangle. If we conveniently scale the triangle so that d=1, then we can say simply that
a=sinAb=sinBc=sinC
This is a common simplification technique, as it nicely blurs the distinction between edges and angles, giving us things like this wonderfully-symmetric area formula:
Area=12abc(=12absinC=12acsinB=12bcsinA)
(When you have this mindset, you can't look at the expression "sinA+sinB+sinC" and not think, "That's perimeter!" ... and then you find yourself pursuing proof approaches like this one.) In what follows, I'll continue to use "a", "b", "c", because they're more compact than "sinA", etc, but you should read them as "sinA", etc.
If a book and a pen together cost $11 and the book is $10 more than the pen, how much does the pen cost? Show solution please
Answer:
50 cents
Step-by-step explanation:
Since 1 dollar is too much, then try 50 cents. Then it worked.
The ratio of dogs to cats is __3:4______. For every ________ dogs, there are ________ cats.
For every 3 dogs, there are 4 cats.
There are 4 cats and 3 dogs, so that means for every 3 dogs, there will be 4 cats.
For every ___3_____ dogs, there are _____4___ cats.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
ratio of dogs to cats = 3:4
which means there are 3 dogs per 4 cats.
Hence, there are 4 cats for every 3 dogs.
Learn more about ratio here:
brainly.com/question/13419413
#SPJ2
Find the surface area of rectangular prism
what is the value of F
Answer:
-15
Step-by-step explanation:
Gwen is building a fence around a square play area for her puppy. She wants the play area to be 256 feet squared. How many feet long should she build the play area
Answer:
64 feet of fencing needed
Step-by-step explanation:
sqrt(256)=16
16*4=64
Gwen need to build 64 feet of fencing around the square play ground.
What is a quadrilateral?
quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.
Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.
Here, it is given that Gwen wants a play ground squared shaped of 256 feet.
Firstly, Now let us find out the side of square a play ground to be fenced which will be :
a² = 256 feet²
a = √256
a = 16 feet
Now lets find the fencing length around a square play area for her puppy that will be equals to the 4 times of side of square that is :
perimeter of square fence = 4a
= 4x16
= 64 feet.
Therefore, Gwen need to build 64 feet of fencing around the square play ground.
check and know more about quadrilateral here :
https://brainly.com/question/18331758
#SPJ2
I WILL GIVE BRAINLEST
[tex] \huge{ \rm{Question:}}[/tex]
7. If a figure measures 7 centimeters high, 3 centimeters wide and 2 centimeters deep, what is the volume of the figure?
[tex] \huge{ \rm{Answer:}}[/tex]
The volume of the figure is 42.
Step-by-step explanation:
= 2 x 7 x 3
= 14 x 3
= 42
HOPE THIS HELPS^^
Evaluate 1/3b+7/12 when b= 1/4 .
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since we know that [tex]b=\frac{1}{4}[/tex], we can simply substitute [tex]\frac{1}{4}[/tex] for [tex]b[/tex] in the equation:
[tex]\frac{1}{3}b+\frac{7}{12}\\\frac{1}{3}(\frac{1}{4})+\frac{7}{12}\\[/tex]
To multiply fractions, simply multiply the numerators of the multipliers to find the numerator of the resultant, and multiply the denominators of the multipliers to find the denominator of the resultant. Therefore, we multiply 1 x 1, which is 1, and 3 x 4, which is 12. The resultant fraction for the operation of [tex]\frac{1}{3}(\frac{1}{4})[/tex] is [tex]\frac{1}{12}[/tex].
Now, we just need to add the remaining fractions:
[tex]\frac{1}{12}+\frac{7}{12}[/tex]
When adding fractions with the sane denominator, we simply add the numerators. The addition of the numerators in this case is 8, so:
[tex]\frac{1}{12}+\frac{7}{12}=\frac{8}{12}[/tex]
We can still simplify the fraction of [tex]\frac{8}{12}[/tex]. Both the numerator and the denominator are divisible by four, so divide them both by four to get the final, simplified fraction:
[tex]\frac{8}{12}=\frac{2}{3}[/tex]
Answer:
[tex]\frac{23}{12}[/tex]
Alternative forms:
[tex]1.916, 1\frac{11}{12}[/tex]
Step-by-step explanation:
Substitute b = 1/4 into 1/3b + 7/12 :
[tex]\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}[/tex]
Calculate
[tex]\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}[/tex]
Divide a fraction by multiplying its reciprocal
[tex]\frac{4}{3}+\frac{7}{12}[/tex]
Find common denominator and write the numerators above common denominator
[tex]\frac{4\times4}{3\times4}+\frac{7}{12}[/tex]
Calculate the product or quotient
[tex]\frac{16}{3\times4}+\frac{7}{12}[/tex]
[tex]\frac{16+7}{12}[/tex]
Calculate the sum or difference
[tex]\frac{23}{12}[/tex]
I hope this helps you
:)
ANSWER QUICKLY!!!!!!!!
Answer:
40°
Step-by-step explanation:
angle FIH =360°-152°-127°=360°-280°=80°
angle FGH = angleFIH ÷2 =40°
The angles of a triangle are in a ratio 1:3:8. What are the angles?
Answer:
15° , 45°, 120°
Step-by-step explanation:
sum the parts of the ratio, 1 + 3 + 8 = 12 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 12 = 15° ← value of 1 part of the ratio, then
3 parts = 3 × 15° = 45°
8 parts = 8 × 15° = 120°
the 3 angles are 15° , 45° , 120°
Help me please ASAP !!!!!!!
Answer:
its A
PLS MARK AS BRAINLESS I MEAN BRAINLIEST :)
Step-by-step explanation:
simplify: 4/5 - 1/3
A. 3/15
B. 5/15
C. 7/15
D. 3/2
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3
multiply one side by 3 and the other by 5
12/15 - 5/15
7/15
Can someone help please
Answer:
1=1/2
2=8 times the square root of 3 over 25 8xsuare root 3/25
3=16
4=7 times square root of 3 over 4 7x square root 3/4
5=square root of 2 over 2
6=square root 3
7=square root 2
8=1/3
9=10/7
Step-by-step explanation:
you can also use algebrator square root calculator!!
Fractions math help me pls and thanks !!!
Answer:
A
Step-by-step explanation:
All the other options have arrows at the ends. This means they continue forever. A segment starts and stops at points. Line A starts and stops at 2 points.
The bill at a restaurant
is $37.52. Helen wants
to leave a 15% tip. If
Helen has $40, will she
have enough money to
pay the bill? Justify
your answer.
Show Work:
Answer:
no, she won't have enough money to pay the bill
Step-by-step explanation:
$37.52×15/100
=$5.63
therefore:$37.52 + $5.63
= $43.15
•she wont have enough money to pay the bill as her bill will be $43.15 and she has $40.
22+x≤40 The solution of the inequality is .
Answer:
Step-by-step explanation
[tex]\leq 40-22\\x\leq 18[/tex]
Hope that helps
Write 350 as a product of primes. Use index notation when giving your answer
Answer: 2 x 5 x 5 x 7 = 350. =2¹ x 5²x 7¹
Step-by-step explanation:
it is good for getting answers
Answer:yes!!
Step-by-step explanation:suprisingly this website gives you the tools to get an answer for anything. People will find ur stuff and give an answer, or sometimes multiple people.
Is 8,397 divisible by 9? If it is, write the number as the product of 9 and another factor. If not, explain
Answer:
311 x 27 = 8397
Step-by-step explanation:
first find the factors of your number 8 397 by dividing continuously starting with the smallest value
8397/3 = 2799
2799/3 = 933
933/3 = 311
311/311 = 1
therefore 311 x (3 x3 x3) = 8397
311 x 27 = 8397
It takes a snail 10 seconds to move 1 centimeter.
Answer:
you would still have 10 snles
3. Find the slope of the line that goes through the following points: (6.-1) and (-3, 11)
Answer:
1.33
Step-by-step explanation:
y2-y1/x2-x1
=11+1/-3-6
=12/-9
=-4/3
=1.33
Every property of a square is also a property of a rectangle. Is this true or false?
Answer:
False, every property of a square is not a property of a rectangle. Most of the properties of a square are also a property of a rectangle. If you square root the area of a square, you will get the side length of that square. If you square root the area of a rectangle, assuming the 4 sides of the rectangle are different, you will not get any of the correct dimensions.
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.8 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.3 in. and a standard deviation of 1.0 in. Use this information to answer the following questions.
What is the minimum table clearance required to satisfy the requirements of fitting 95% of men?
Using the normal distribution, it is found that the minimum table clearance required to satisfy the requirements of fitting 95% of men is of 23.6 in.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, for men's knee heights, we have that:
The mean is of [tex]\mu = 21.8[/tex].The standard deviation is of [tex]\sigma = 1.1[/tex].The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21.8}{1.1}[/tex]
[tex]X - 21.8 = 1.1(1.645)[/tex]
[tex]X = 23.6[/tex]
The minimum table clearance required to satisfy the requirements of fitting 95% of men is of 23.6 in.
More can be learned about the normal distribution at https://brainly.com/question/24663213
In a village 200 persons out of 450 were found to be alcoholic. Can you conclude that minority of persons in this village are alcoholic assuming the persons being alcoholic and non-alcoholic are equal?
Step-by-step explanation:
Step 1 total number of person =450
Step 2 number of people who are alcholic =200
Step 3 now subtract them like: 450 - 200
Answer=200 people are non alcholic