Answer:
x = .28
y = 0
Step-by-step explanation:
Voume of disk = pi *r^2 = pi * e^-3x deltax
x = integal 0 to 1 of x * delta*pi*e^-3x deltax / mass = (delta*pi) integal 0 to 1 of x * e^-3x deltax/mass = (delta*pi)0.08898/mass
mass = sigma *(volume)=delta(pi/3*(1-e^-3)) =delta(.995)
x = (delta*pi)0.08898/delta(.995) = .28
by symmetry y=0
A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the x axis. Then value of x is 0.28 and y is 0.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of disk is given by formula πr²
Volume of disk = πr²= π × e⁻³ˣ Δx
[tex]x=\int\limits^0_1 {x} \, \pi e^{-3x} dx[/tex]
= (delta.π) integal 0 to 1 of x × e⁻³ˣ delta x/mass
= (delta. π) 0.08898/mass
mass = sigma ×(volume)=delta( π/3*(1-e⁻³)) =delta(0.995)
x = (delta*π)0.08898/delta(0.995) = 0.28
x=0.28
and by symmetry y=0
Hence the value of x is 0.28 and value of y is 0.
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Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.
Answer:
= x^2 + 3 / (x-1)(x-3)
Step-by-step explanation:
Adjust fractions based on the LCM:
= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)
Combine the fractions (equal denominators):
= (x-3)^2 + 6(x-1) / (x-1) (x-3)
Expand:
x^2 + 3 / (x-1)(x-3)
Answer:d
X^2+3\(x-1)x-3)
Step-by-step explanation:
On Plato
Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.
The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.
Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
I'm confused on how to find x
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].
We can then solve for x using the Pythagorean theorem:
[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
On October 1, 2018 stokes company paid Eastport Reynolds $4800 for a 12 month lease, deferal
Answer:
phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs
Which unit of measurement would be the most appropriate to measure a bottle of nail polish
Answer:
milliliter
Step-by-step explanation:
Most of nail polish have their measurement in ml
What is the equation of the line that passes through the point (-6,-7)(−6,−7) and has a slope of 0?
Answer:
y = -7
Step-by-step explanation:
The equation of a line is:
y = mx + b where m = slope
To find b, plug in a point and solve.
(-6,-7)
y = mx + b
-7 = 0(-6) + b
- 7 = 0 + b
-7 = b
So the equation is:
y = 0x + b or
y = -7
No matter what you plug into x, y = -7, because your slope is 0.
The equation of the line that passes through the point (-6,-7) and with slope 0 is [tex]y=-7[/tex].
Point through which the given line passes ≡ (-6,-7)
The slope of the line =0
What is the equation of a straight line?The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]
where m is the slope of the line.
So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:
[tex]y-(-7) = 0(x-(-7))[/tex]
[tex]y+7 =0[/tex]
[tex]y =-7[/tex]
So, the required equation of the line is y=-7.
Therefore, the equation of the line that passes through the point (-6,-7) and with slope 0 is [tex]y=-7[/tex].
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solve the quadratic equation 3x^2-5x-7=0
Step-by-step explanation:
[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]
Equation from the positive root:
[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]
Equation from the negative root:
[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]
Answer:[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.
Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .
To Find : The roots of the equation .
Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .
⇒ 3x² -5x - 7 = 0.
Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.
[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]
On substituting respective values ,
⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.
⇒x = 5 ± √ [ 25 + 84 ]/ 6 .
⇒ x = 5 ± √ 109 / 6 .
⇒ x = 5 + √109 / 6 , 5 - √109 / 6.
[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
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the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
Convert 66 inches to meters.
Conversion table:
1 meter = 3.281 feet
1 foot = 12 inches
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?
Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
Dustin surveyed 50 students at his school about their music preferences. The results are in the table.
Music Preference Survey
Type of Music
Hip-Hop- 18
Country- 13
Rock- 11
Other- 8
There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?
A. 180 students
B. 240 students
C. 260 students
D. 405 students
Answer:
240
Step-by-step explanation:
260 students prefer hip-hop music.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
According to Dustin Survey Hip hop music liked by 18 out of 50
In percentage we can write
x% of 50= 18
50x /100 = 18
x/2 = 18
x= 36%
So, Out of 722 students number of students who prefer hip-hop music
= 36% of 722
= 36/100 x 722
= 260
Hence, 260 students prefer hip-hop music.
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Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
Look at the coordinate graph.
Which point has coordinates (5, 4)?
Which point has coordinates (-5, -4)?
Which point has coordinates (5, -4)?
Which point has coordinates (-5, 4)?
Answer:
B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)
Step-by-step explanation:
look at x axis first (horizontal), then y axis (vertical)
The coordinates of the points are:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)How to identify the points?Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.
With that in mind, we can see that:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)Now, answering the questions:
Which point has coordinates (5, 4)?
Point B
Which point has coordinates (-5, -4)?
Point C
Which point has coordinates (5, -4)?
Point D
Which point has coordinates (-5, 4)?
Point A.
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The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx
CORRECT ANSWER = BRAINLEIST
Answer:
5
Step-by-step explanation:
7*5=35
12*5=60
20*5=100
The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.
Answer:
C
Step-by-step explanation:
Each year will have 25 student
Please help me this question
Step-by-step explanation:
Hey there!
The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.
Note: use one point formula for finding the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]
Simplify it.
[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]
[tex](y + 3) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6 - 3[/tex]
[tex]y = - \frac{3}{4} x + 3[/tex]
Therefore, the equation is; y = -3/4x+3.
Hope it helps...
Help me please! If you can explain it will help me a lot, if not then it’s okay.
Answer:
I cant help bc it doesnt show :((( sorrrrry
Step-by-step explanation:
Solve 2y - 3 = 4y +6.
у
DONE
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y +6
subtract 2y from both sides: -3 = 2y +6
subtract 6 from both sides: -9 = 2y
divide both sides by 2: -4.5 = y
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y + 6
+3 + 3
2y = 4y + 9
-4y -4y
-2y = 9
divide by -2 to get -4.5
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
7n - 8n - 323
????????????
Answer:
−n−323
Step-by-step explanation:
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
Please help me with this
Answer:
A = (4, -2)
B = (-2, -2)
C = (-2, 2)
Please Brainliest! It wuld help out a lot..
Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?
Answer:
5 days
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
9/2=4.5
rounded 5
What’s the perimeter of a square with a side of 9 cm
Answer:
32
Step-by-step explanation:
9+9+9+9 is 32 so thats your answer because all sides on a square are equal
Answer:
[tex]\boxed {\tt 36 \ centimeters}[/tex]
Step-by-step explanation:
The perimeter is the sum of all the side lengths and a square has 4 equal sides.
The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.
[tex]p=4s[/tex]
The side length is 9 centimeters.
[tex]s= 9 \ cm[/tex]
Substitute the value into the formula.
[tex]p=4(9 \ cm)[/tex]
Multiply
[tex]p= 36 \ cm[/tex]
The perimeter of a square with a side length of 9 centimeter is 36 centimeters.
Which of the following cities does NOT rely on lumber for its economy?
I need help ASAP. Thank you in advance! The choices are true & false.
Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?
15x > 8(x + 25)
15x > 8x + 25
15x > 8 + 25x
15x < 8x + 25
Answer: 15x > 8(x + 25)
that is what i think i am not very good a math sorry
Step-by-step explanation:
Answer:
15x > 8(x + 25)
Step-by-step explanation:
I think this is the answer
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
(0,-26)
Step-by-step explanation:
0 -26
17 -39
34 -52
51 -65
68 -78