Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
To learn more about the division;
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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)$25.92The 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.
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]
The following image is a piece of tile from a bathroom floor. What does the bolded line represent?
A. a line
B. a line segment
C. a ray
D. a plane
The bolded line represents a line segment rather than a line or a plane.
What is a line?A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.
What is a line segment?This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.
Learn more about lines in: https://brainly.com/question/2696693
Answer:
The answer is B
Step-by-step explanation:
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
Without using mathematical tables,find 6log(x+4)=log64
Answer:
x=-2.2180
Step-by-step explanation:
steps are in picture
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]
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
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False
Answer:
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
False
IAI > 0
False
A>B
true
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.
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
Find the point on the paraboloid z = 4x2 + 4y2 which is closest to the point
(4; 5; 6).
Using the method of Lagrange multipliers: the Lagrangian is
[tex]L(x,y,z,\lambda) = (x-4)^2+(y-5)^2+(z-6)^2 - \lambda (z-4x^2-4y^2)[/tex]
Fix λ > 0.
That is, we are minimizing the squared distance of a point (x, y, z) on the paraboloid to the point (4, 5, 6). We can use the squared distance in place of the proper Euclidean distance because both f(x) and √f(x) have critical points at the same point x ; plus the math works out much more easily.
Find the critical points of the Lagrangian:
[tex]\dfrac{\partial L}{\partial x} = 2(x-4) + 8\lambda x = 0 \\\\ \dfrac{\partial L}{\partial y} = 2(y-5) + 8\lambda y = 0 \\\\ \dfrac{\partial L}{\partial z} = 2(z-6) - \lambda = 0 \\\\ \dfrac{\partial L}{\partial\lambda} = -z+4x^2+4y^2 = 0[/tex]
Solving for λ in terms of x, y, or z gives
[tex]\displaystyle \lambda = \frac1x-\frac14 = \frac5{4y} - \frac14 = 2z-12[/tex]
so right away, we get
[tex]\dfrac5{4y} - \dfrac14 = \dfrac1x - \dfrac14 \implies y=\dfrac{5x}4 \\\\ 2z-12 = \dfrac1x-\dfrac14 \implies z = \dfrac1{2x} + \dfrac{47}8[/tex]
Substitute these into the constraint and solve for x, then for y and z :
[tex]\dfrac1{2x} + \dfrac{47}8 = 4x^2 +4\left(\dfrac{5x}4\right)^2 \implies 82x^3 - 47x - 4 = 0[/tex]
This has 3 roots, but we take the lone positive solution for x because otherwise λ would be negative. This root is x ≈ 0.7965.
Then it follows that the closest point on the paraboloid to (4, 5, 6) is the critical point (0.7965, 0.9956, 6.5028).
Find the sum.
1/xy^2 + x^2/y
Answer:
Step-by-step explanation:
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
Factor –6x^2 – x + 2
Plus checking with FOIL
Answer:
x= 1/2 or x= -2/3
Step-by-step explanation:
-6x²-x+2=0
-6x²-4x+3x+2=0
-2x(3x+2) + 1(3x+2)=0
(-2x+1) (3x+2)=0
-2x+1=0 or 3x+2=0
x= -1/-2 or x= -2/3
so therefore
x=1/2 0r -2/3
using FOIL method
FIRST: (-2x)(3x)= -6x²
OUTER: (-2x)(2)= -4x
INNER: (1)(3x)= 3x
LAST: (1)(2) =2
-6x²-4x+3x+2
What is 5 hundreds times 10 in unit form
Answer:
it is 5000 in my guess . to you can ask me anytime
If UW = 9x - 9, what is UW in units?
5
6
30
36
please, solve for x!
Answer:
15
Step-by-step explanation:
x*x = 9*9 + 12*12
--> x = 15
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
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 %
Find the product.
(4t+na) (t - 2na)
Answer:
4t^2 - 8tna + nat - 2 n^2 a^2
Step-by-step explanation:
Dudjdkdjejdnkdhdbd
Helppppppppppppp meeeee pleaseeeeeee
Answer:
I'm pretty sure it's the first and last one
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.
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]
log square root 27 ÷ log 81
If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).
Answer:
Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]
Step-by-step explanation:
Recall that [tex]f-g[/tex] is defined by
[tex](f-g)(x)=f(x)-g(x)[/tex]
Therefore we compute
[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]
Hello! PLEASEEEE PLEASEE GIVE THE ANSWERS TO THESE! I WILL GIVE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS !!!
Answer:
sorry cause pic is small and cant enlarge
Step-by-step explanation:
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
(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]