Answer:
When t = 0, d = 0When t = 3, d = 6When t = 5, d = 10Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
PART ONE: Find d when t = 0
Given expression
d = 2t
Substitute value into the expression
d = 2 (0)
d = 0PART TWO: Find d when t = 3
Given expression
d = 2t
Substitute value into the expression
d = 2 (3)
d = 6PART THREE: Find d when t = 5
Given expression
d = 2t
Substitute value into the expression
d = 2 (5)
d = 10Hope this helps!! :)
Please let me know if you have any questions
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?
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
Plz help me W/ theses with steps
Answer:
68 blue marbles are there.
Answer:
Blue marbles are 100.
Step-by-step explanation:
Number of red marbles=252 × 2/7
Number of red marbles=72
Remaining marbles=252-72
Remaining marbles=180
Now,
Number of green marbles=180×4/9
Number of green marbles=80
Reaminng marbles which are blue=100-80
=100
If you have any questions about it let me know.
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
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]
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.
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
Proteins have a variety of functions within a living cell. What are the possible functions of proteins, and how can proteins be so diverse?
Proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport.
Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Proteins function as insulation, protection, and defense and are diverse due to the arrangement of the fatty acids.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport. Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Answer:
The correct answer to the question is, proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
One of the abundant organic molecules in living systems is the proteins. Proteins have the most various ranges of functions of all macromolecules.
Further Explanation
They may be regulatory, contractile, structural or protective. They serve in membranes, transport or storage. In a living system, each cell may have thousands of different proteins and performs different functions. Proteins function and structures differ. However, all proteins are polymers of amino acid which are arranged in linear sequence.
Proteins perform a lot of functions and this is because there are 20 chemically distinct amino acids which constitute the long chains and the amino can take different order. For instance, proteins can function as hormones or enzymes. Living cells produced enzymes and are catalyst in chemical reaction. They are usually proteins. Enzymes can function to rearrange bond, to break bonds, or formation of new bonds. One of the examples of enzymes is salivary amylase, which is a component of starch. Hormones are usually proteins or steroids, which are secreted by a group of endocrine cells that control physiological process such as metabolism, reproduction and growth.
The monomers comprises of proteins are called amino acid and each amino acid has structures that make up of central carbon atom bonded into amino group.
KEYWORDS:
amino acid
proteins
enzymes
transport
hormones
please, solve for x!
Answer:
15
Step-by-step explanation:
x*x = 9*9 + 12*12
--> x = 15
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
Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour
Answer:
Answer:
If: 153 words = 3 minutes :
Then: 1 minute = 153 3 = 51 words
10 minutes is:
10 × 51 = 510
Ben can type 510 words in 10 minutes
the newspaper reported that on the "big board," where 1.24 billion shares were traded, 1,366 stocks fell and 1,788 rose. On the NASDAQ, where 1.76 billion shares were traded, 1,587 fell and 2,068 rose. Comparing the fractions of stocks that fell to the stocks that rose, which market had the largest fraction?
Using proportions, it is found that the Big Board market had the largest fraction.
------------------------
Big board:
Total of 1366 + 1788 = 3154 stocks.Of those, 1788 rose.The proportion that rose is:
[tex]p_B = \frac{1788}{3154} = 0.5669[/tex]
------------------------
NASDAQ:
Total of 1587 + 2068 = 3655 stocks.Of those, 2068 rose.The proportion that rose is:
[tex]p_N = \frac{2068}{3655} = 0.5658[/tex]
[tex]p_B > p_N[/tex], thus, the Big Board market had the largest fraction.
A similar problem is given at https://brainly.com/question/19905617
x + 3 and x + 2.....
Answer:
x+x+5=10
Step-by-step explanation:
ya
Answer:
x+3+x+2
X+x+3+2
2x+5
Step-by-step explanation:
mark me as brainliest
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
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]
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]
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
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
Helppppppppppppp meeeee pleaseeeeeee
Answer:
I'm pretty sure it's the first and last one
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.
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 %
If UW = 9x - 9, what is UW in units?
5
6
30
36
Find the sum.
1/xy^2 + x^2/y
Answer:
Step-by-step explanation:
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:
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
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.
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Running a 60 watt light bulb for 1 hour is .06 KWH, if you leave a light on all the time that has 5 light bulbs in it how much would that cost in a 30 day month? Answer in the form of $2.54 without the dollar sign.
Answer:
$25.92Step-by-step explanation:
1 bulb in 1 hour = 0.06 kWhUnit of cost = 12 cents per kWh = $0.12 per kWh5 bulbs in 30-day month will consume electricity:
5*0.06*30*24 = 216 kWhThe total cost is:
216 * 0.12 = $25.92Total electricity consumed per day
24(0.06)1.44KwhConsumed in 30days
30(1.44)43.2KwhFor 5bulbs
5(43.2)216kwHCost
216(0.12)$25.92What is 5 hundreds times 10 in unit form
Answer:
it is 5000 in my guess . to you can ask me anytime
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.
(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]