Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
Plane P is a cross-section of the solid below. What shape is the cross section?
A. not enough information
B. hexagon
C. pentagon
D. rectangle
Answer:
B. hexagon
Step-by-step explanation:
If UW = 9x - 9, what is UW in units?
5
6
30
36
Rose's rectangular backyard has an area of 672 square meters. Find the length of the backyard if the backyard is 7 meters wide.
[tex]\\ \rm\longmapsto Length(Breadth)=Area[/tex]
[tex]\\ \rm\longmapsto Length(7)=672[/tex]
[tex]\\ \rm\longmapsto Length=\dfrac{672}{7}[/tex]
[tex]\\ \rm\longmapsto Length=96m[/tex]
Find the solution set
2(x + 4 = 8
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
Which statement is true about this equation?
Answer:
infinite solutions
Step-by-step explanation:
-9(x+3) +12 = -3(2x+5)-3x
Distribute
-9x-27 +12 = -6x-15-3x
Combine like terms
-9x -15 = -9x-15
Add 9x to each side
-9x-15+9x = -9x-15+9x
-15 = -15
This is a true statement so it is true for all x
A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below.
a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green?
b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected?
c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow?
d. If you were sampling with replacement (the first cellphone is returned to the box after it is selected), what would be the answers to (a) and (b)?
Probabilities are used to determine the chance of an event. The following are the summary of the solution.
The probability that the two selected cellphones are green (without replacement) is 15/28The probability that one green and one yellow is selected (without replacement) is 3/7The probability that all three cellphones are yellow (with replacement) is 1/64The probability that the two cellphones are green (with replacement) is 9/16The probability that one green and one yellow is selected (with replacement) is 3/8Given that:
[tex]n = 8[/tex]
[tex]G = 6[/tex] --- Green
[tex]Y = 2[/tex] --- Yellow
(a) Probability that the two cellphones are green (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]
[tex]Pr = \frac 68 \times \frac 57[/tex]
[tex]Pr = \frac{30}{56}[/tex]
[tex]Pr = \frac{15}{28}[/tex]
Hence, the probability that the two cellphones are green (without replacement) is 15/28
(b) Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex] ---- The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]
[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]
[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
Take LCM
[tex]Pr = \frac{3+3}{14}[/tex]
[tex]Pr = \frac{6}{14}[/tex]
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7
(c) Probability that the all three cellphones are yellow (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]
So, we have:
[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]
[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]
[tex]Pr = \frac 1{64}[/tex]
Hence, the probability that all three cellphones are yellow (with replacement) is 1/64
(d1) Probability that the two cellphones are green (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]
[tex]Pr = \frac{9}{16}[/tex]
Hence, the probability that the two cellphones are green (with replacement) is 9/16
(d2) Probability that one green and one yellow is selected (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
So, we have:
[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]
This gives
[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]
[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]
Take LCM
[tex]Pr = \frac {3+3}{16}[/tex]
[tex]Pr = \frac {6}{16}[/tex]
[tex]Pr = \frac {3}{8}[/tex]
Hence, the probability that one green and one yellow is selected (with replacement) is 3/8
Read more about probabilities at:
https://brainly.com/question/795909
11. Write in the expanded notation : (a) 85, 33, 48, 925 (b) 8, 25, 38, 201 (c) 2,00, 00, 63, 670 (d) 8,57,00, 07, 005 class 5
please mark this answer as brainlist
what is the perimeter of an equilateral triangular lamina of side length 12 cm
Answer:
It is 36 cm
Step-by-step explanation:
In equilateral triangle, all sides are equal.
[tex]{ \sf{perimeter = side + side + side}}[/tex]
but side = 12 cm
[tex] { \sf{p = (12 + 12 + 12)}} \\ { \sf{p = 36 \: cm}}[/tex]
Answer: Perimeter = 36 cm
Concept:
Here, we need to know how to find the perimeter of an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter (equilateral triangle) = 3s
s = side length
Solve:
Given information
Side length = 12 cm
Given expression
Perimeter = 3s
Substitute values into the expression
Perimeter = 3 (12)
Simplify by multiplication
Perimeter= [tex]\boxed{36cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
HELP NOW PLEASE NOW ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT NOW PLEASE!!!
Answer:
you can check the picture, i tried to make it as simple as possible. so I answered by the format.
Convert 2 yards to centimeters. Round to the nearest whole
centimeter.
Answer:
183 centimeters
Step-by-step explanation:
2 multiply the length value by 91.44
20 points if these are correct pls.
Answer:
16. 42
21. 18
Step-by-step explanation:
37. Verify Green's theorem in the plane for f (3x2- 8y2) dx + (4y - 6xy) dy, where C is the boundary of the
C
region defined by: (a) y = fx , y = x2 ; (b) x = 0, y = 0, x +y = 1 .
Ans. (a) common value = 3/2 (b) common value = 5/3
38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense. Ans. - 87T
39. Work the previous problem for the line integral f (x2+y2)dx + 3xy2 dy. Ans. 127T
C 40. Evaluate f (x2-2xy)dx +(x2y+3)dy around the boundary of the region defined by y2 = 8x and x = 2
(a) directly, (b) by using Green's theorem. Ans. 128/5
(TT.2) 41. Evaluate f (6xy - y2) dx + (3x2 --- 2xy) dy along the cycloid x = 6 - sin 6, y = 1 - cos 6.
I'll only look at (37) here, since
• (38) was addressed in 24438105
• (39) was addressed in 24434477
• (40) and (41) were both addressed in 24434541
In both parts, we're considering the line integral
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy[/tex]
and I assume C has a positive orientation in both cases
(a) It looks like the region has the curves y = x and y = x ² as its boundary***, so that the interior of C is the set D given by
[tex]D = \left\{(x,y) \mid 0\le x\le1 \text{ and }x^2\le y\le x\right\}[/tex]
• Compute the line integral directly by splitting up C into two component curves,
C₁ : x = t and y = t ² with 0 ≤ t ≤ 1
C₂ : x = 1 - t and y = 1 - t with 0 ≤ t ≤ 1
Then
[tex]\displaystyle \int_C = \int_{C_1} + \int_{C_2} \\\\ = \int_0^1 \left((3t^2-8t^4)+(4t^2-6t^3)(2t))\right)\,\mathrm dt \\+ \int_0^1 \left((-5(1-t)^2)(-1)+(4(1-t)-6(1-t)^2)(-1)\right)\,\mathrm dt \\\\ = \int_0^1 (7-18t+14t^2+8t^3-20t^4)\,\mathrm dt = \boxed{\frac23}[/tex]
*** Obviously this interpretation is incorrect if the solution is supposed to be 3/2, so make the appropriate adjustment when you work this out for yourself.
• Compute the same integral using Green's theorem:
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy = \iint_D \frac{\partial(4y-6xy)}{\partial x} - \frac{\partial(3x^2-8y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^1\int_{x^2}^x 10y\,\mathrm dy\,\mathrm dx = \boxed{\frac23}[/tex]
(b) C is the boundary of the region
[tex]D = \left\{(x,y) \mid 0\le x\le 1\text{ and }0\le y\le1-x\right\}[/tex]
• Compute the line integral directly, splitting up C into 3 components,
C₁ : x = t and y = 0 with 0 ≤ t ≤ 1
C₂ : x = 1 - t and y = t with 0 ≤ t ≤ 1
C₃ : x = 0 and y = 1 - t with 0 ≤ t ≤ 1
Then
[tex]\displaystyle \int_C = \int_{C_1} + \int_{C_2} + \int_{C_3} \\\\ = \int_0^1 3t^2\,\mathrm dt + \int_0^1 (11t^2+4t-3)\,\mathrm dt + \int_0^1(4t-4)\,\mathrm dt \\\\ = \int_0^1 (14t^2+8t-7)\,\mathrm dt = \boxed{\frac53}[/tex]
• Using Green's theorem:
[tex]\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dx = \int_0^1\int_0^{1-x}10y\,\mathrm dy\,\mathrm dx = \boxed{\frac53}[/tex]
find the slope of the line
Answer:
m = (6-5)/(4-1)
m = 1/3
.............
3 Which of the scientists responsible for cell theory would be the most likely to write a book titled Cells Come from Cells?
Hooke
Schleiden
Virchow
Schwann
Answer:
Virchow
Step-by-step explanation:
He was the one who discovered that all cells come from pre-existing cells, the third part of the cell theory.
(2.5*10^3)*3.4*10^2 (in scientific notation)
Answer:
8.5 × 10^5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]\\ \rm\Rrightarrow (2.5\times 10^3)^3\times 4\times 10^2[/tex]
[tex]\\ \rm\Rrightarrow 2.5\times 3.4 10^3 \times 10^2[/tex]
[tex]\\ \rm\Rrightarrow 8.5\times 10^{3+2}[/tex]
[tex]\\ \rm\Rrightarrow 8.5\times 10^5[/tex]
Round each number to the nearest hundredth.
a. 8.7495980
b. 0.72091
C. 9.3113
d. 23.0368
e 6.9788
Answer:
a. 8.75
b. 0.72
c. 9.31
d. 23.04
e. 6.98
Step-by-step explanation:
a.
in this number 8.7495980
the digit in the hundredth place is 4
the digit in the thousandth place is 9
Since 9 ≥ 5 ,then 8.7495980 rounded to nearest hundredth is :
8,75
b.
in this number 0.72091
the digit in the hundredth place is 2
the digit in the thousandth place is 0
Since 0 < 5 ,then 0.72091 rounded to nearest hundredth is :
0.72
c.
in this number 9.3113
the digit in the hundredth place is 1
the digit in the thousandth place is 1
Since 1 < 5 ,then 9.3113 rounded to nearest hundredth is :
9.31
d.
in this number 23.0368
the digit in the hundredth place is 3
the digit in the thousandth place is 6
Since 6 ≥ 5 ,then 23.0368 rounded to nearest hundredth is :
23.04
e.
in this number 6.9788
the digit in the hundredth place is 7
the digit in the thousandth place is 8
Since 8 ≥ 5 ,then 6.9788 rounded to nearest hundredth is :
6.98
Help with number 7 picture above
9514 1404 393
Answer:
next: ←, ↑, →, ↓, ←
Step-by-step explanation:
It appears you want to identify a rule describing the sequence, then provide several additional elements in the sequence.
It looks to me like each successive element has been rotated 90° CW from the previous one.
Continuing that pattern, the arrows will point left, up, right, down, left.
given two terms in an arithmetic sequence write the explicit formula
Answer:
an = 40 - 3n
Read down to get the alternate answer.
Step-by-step explanation:
an = a1 + (n - 1)*d
a2 = a1 + (2 - 1)d
34 = a1 + d
a7 = a1 + 6*d
19 = a1 + 6d
34= a1 + d Subtract
-15 = 5d Divide by 5
d = - 3
Now use the first equation to find a2
a1 + d = 34
a1 -3 = 34 Add 3
a1 = 34 + 3
a1 = 37
The formula you want is
an = 37 + (n - 1)*-3 You could reduce it further. Remove the brackets
an = 37 - 3n + 3
an = 40 - 3n
Does it work? Try a7
19 = 40 - 3*7
19 = 40 - 21
19 = 19
Yes it works.
Find the sum.
1/xy^2 + x^2/y
Answer:
Step-by-step explanation:
the selling price of an article is 20% less than its marked price and the marked price is 30% above the cost price. find the profit percent.
Step-by-step explanation:
here,
let MP be x then,
SP=x-20%of X
=x - 20x/100
=x- 0.2x
=0.8x
CP= x- 30% of x
= x- 30x/100
=x- 0.3x
=0.7x
now,profit (P) = SP -CP
= 0.8x-0.7x
=0.1x
so,
P%=( P\CP ) ×100%
= (0.1x/0.7x) ×100%
= 14.28 %
Evaluate the expression (-243)^2/5
Answer:
Step-by-step explanation:
The fifth root of -243 = - 3
If you now square - 3, you get (-3)(-3) = 9
What is the largest amount which can be borrowed over three years at 4.5% APR if the largest
affordable monthly payment is $279? (Round to the nearest ten dollars.)
Answer:
$12.5 dollars
Step-by-step explanation:
cc
The speed of sound in dry air at 20° C (68° F) is 1.236 × 103 km/h. What is the speed of sound written as an ordinary number?
Step-by-step explanation:
The speed of sound has nothing to do with "sea level" and sound pressure and without the medium air there is no speed of sound. In SI units with dry air at 20°C (68°F), the speed of sound c is 343 meters per second (m/s). This also equates to 1235 km/h, 767 mph, 1125 feet per second (ft/s), or 666 knots.
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
Help!
Solve the equation: a/0.4 = –20
Answer:
i think this might be it? but most likely :) <3
Step-by-step explanation:
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 53, you quiz average is 66, and your test average is 96?
The sum of three times a number, x, and 12
Answer:
The sum of three times a number and twelve is fewer than twenty translates into an inequality
3x+12 < 20
Step-by-step explanation:
it's not the perfect answer of your question but it's kind of similar to it
ANSWeR RIGHT ANDIL ALSO GIVE 5 STAR AND BRAINLIEST
Answer:
3. Sanford Township, Minnesota
4. Inner Mongolia, China
5. Arunachal Pradesh, India
6.Almaty Region, Kazakhstan
7.Madhya Pradesh, India
Step-by-step explanation:
refer to image given and please answer!!!!!
Step-by-step explanation:
According to the quotient rule of differentiation, if [tex]y(x) = u(x)/v(x),[/tex] then its derivative is given by
[tex]\dfrac{dy}{dx} = \dfrac{v\dfrac{du}{dx} - u\dfrac{dv}{dx}}{v^2}\:\:\:\:\:\:\:\:\:(1)[/tex]
We can see that
[tex]u(x) = \ln (4x^2 + 1)[/tex]
[tex]\dfrac{du}{dx} = \dfrac{8x}{4x^2 + 1}[/tex]
[tex]v(x) = 2x - 3[/tex]
[tex]\dfrac{dv}{dx} = 2[/tex]
Plugging the above expressions into Eqn(1), we find that the derivative is
[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{8x(2x - 3)}{(4x^2 + 1)} - 2\ln (4x^2 + 1)}{(2x - 3)^2}[/tex]
[tex]\:\:\:\:\:\:\:= \dfrac{8x}{(4x^2 + 1)(2x - 3)} - \dfrac{2\ln (4x^2 + 1)}{(2x - 3)^2}[/tex]
y = 10 when x = - 4 , find y when x = 12
Answer:
y = -30
Step-by-step explanation:
Set the ratio: [tex]\frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex]
Let:
[tex](x_1 , y_1) = (-4 , 10)\\(x_2 , y_2) = (12 , y)\\[/tex]
Plug in the corresponding terms to the corresponding variables:
[tex]\frac{-4}{10} = \frac{12}{y}[/tex]
First, cross multiply.
[tex](-4 * y) = (10 * 12)\\-4y = 10 * 12\\-4y = 120[/tex]
Next, isolate the variable, y. Divide -4 from both sides of the equation:
[tex]\frac{-4y}{-4} = \frac{120}{-4}\\y = \frac{120}{-4}\\y = -30[/tex]
-30 is your answer for y.