Answer:
64
Step-by-step explanation:
6.4 * 10^1
is the same as:
6.4 * 10
= 64
Make a the subject of p= 3a+5/4-a
Answer:
4p-5/7=a
Step-by-step explanation:
4p=12a+5-5a
4p-5=12-5a
4p-5=7a
4p-5/7=a
The result of multiplying two or more numbers is a _____.
quotient
resultant
subtrahend
product
Answer:
D: product
Step-by-step explanation:
All I remember is that the answer to a division problem is quotient and multiplication is a product. Hope this helps :)
An equation for the line whose slope is 5 and which passes through the point (-2,11) is
Answer:
y=5x+10
Step-by-step explanation:
y-11=5(x+2)
y-11=5x+10
+11 +11
y=5x+21
(-2g + 7) - (g+11) =
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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Olá bom dia eu queria saber se quando um número que contém x na sua parte literal e o outro número não tiver nós devemos somar? ex 3x+1 essa equação tem a mesma parte literal? Dá pra somar? obj a materia e adição e subtração de polinomios.
Answer:
Não, você não pode adicioná-los.
Step-by-step explanation:
Não, você não pode adicioná-los.
O que você adiciona em um polinômio são termos que possuem os mesmos alfabetos equivalentes.
Assim, você adiciona termos com x juntos, mesmo termos com x ^ 2 ex não podem ser adicionados juntos.
Em resumo, o que você soma são termos que têm o mesmo alfabeto (chamado variável)
Assim, o termo 3x + 1 é deixado como está. É assim que o 1 não serve como coeficiente para outro termo x.
for what values of x does 5x^2+4x-4=0
Answer: See explanation
Step-by-step explanation:
x=-(2-2*the square root of 6)/5, about 0.58
or
x=-(2+2*the square root of 6)/5, about -1.38
The values of the x from equation \(5x^2+4x-4=0\) are x = 0.5798 and -1.38.
Given that:
Equation: \(5x^2+4x-4=0\)
To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:
\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)
Compare the equation with \(ax^2 + bx + c = 0\).
Here, a = 5, b = 4, and c = -4.
Plugging in the values to get,
\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)
So the solutions for x are calculates as:
Taking positive sign,
\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)
x = 5.798/10
x = 0.5798
Taking negative sign,
\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)
x = -13.798/10
x = -1.38
Hence, the exact solutions for the equation \(5x^2 + 4x - 4 = 0\) are x = 0.5798 and -1.38.
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20 divided by four fifths
Answer:
25
Step-by-step explanation:
\(\frac{20}{1}*\frac{5}{4}\) multiply by the reciprocal to divide
25 cross cancel and multiply to get 25
1.Consider a 64-bit architecture machine where physical memory is 128GB a.If we would like to run processes as big as 256GB how many bits would be required for the logical address? 38 2 9& 25661 b.If we are using pages of size 4KB, how many bits are needed for displacement into a page? 12 bits 4KB= c.If a single level page table is used, what is the maximum number of entries in this table? 38 26 entries d.What is the size of this single level page table in terms of 4KB pages? 2o Pages e. If a two-level page-table is used and the outer page table is an 4KB page,how many entries does it contain, maximally? f. How many bits of the logical address are used to specify an index into the inner page (page of page table)?
a). 2^38 bytes of memory
b). 12 bits
c). The maximum number of entries in the single-level page table would be 2^38.
d). The size would be 2^38 * 4KB, which equals 2^20 pages.
e). The maximum number of entries it can have depends on the remaining bits of the logical address.
f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.
a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.
b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.
c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.
d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.
e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.
f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.
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find the radius of the circle in which the given central angle intercepts an arc of the given length s.
The radius of the circle is 10 cm.
To find the radius of the circle in which the given central angle intercepts an arc of the given length s, we can use the formula given below:
\(r=\frac{s}{2\sin\frac{\theta}{2}}\)
where r is the radius of the circle,s is the length of the intercepted arc, andθ is the central angle in radians.
For example, if the central angle is 60 degrees and the intercepted arc length is 10 cm, we first need to convert the central angle to radians:
\(\theta = \frac{60}{180}\pi \\= \frac{\pi}{3}\)
Then we can use the formula:
\(r=\frac{s}{2\sin\frac{\theta}{2}}\\=\frac{10}{2\sin\frac{\pi}{6}}\\= \frac{10}{2(\frac{1}{2})}\\=10\\\)
Therefore, the radius of the circle is 10 cm.
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Find the value of x. X=
Answer: x=9
Step-by-step explanation:
24/36=6/x
24/36=2/3
2*3=6
3*3=9
Answer:
x= 12
Step-by-step explanation:
What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answer: Its C and E on engenuity
Step-by-step explanation:
The radius is half the diameter.
The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answer: C, E
Step-by-step explanation: Got it right on edge
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Plz answer
Answer:
He made a profit of 40-32 = Rs 8 per copy.
He got a 25% profit in the business of copies
Step-by-step explanation:
Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.
He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.
Each copy finally cost 4608/144 = Rs 32.
He sold all copies for Rs 5760, at 5760/144= Rs 40 each.
Therefore, he made a profit of 40-32 = Rs 8 per copy.
The total profit in his business of copies was 5760 - 4608= 1152
This is a percentage of:
\(\frac{1152}{4608}*100 = 25\%\)
If you answer this you're HOT!!!!!
For the following question, determine whether the two are similar. If so, give the scale factor of the figure to the larger figure
Answer:
The answer is yes, 1:1.6
Step-by-step explanation:
If you divide 6.4 by 4 and 3.2 by 2, you get 1.6. Hoped this helped. :)
Select all the expressions that are equivalent to (12⁻₂)₈
Step-by-step explanation:
1/4096
0.000244140625
2^-12
1/(2^12)
All of the above expressions are equivalent to (12⁻₂)₈, which is a decimal representation of a number that is obtained by dividing 1 by 2 raised to the power of 12. The first and second expressions are decimal representation of the number, the third one is the representation of the number by using the base 2 logarithm, and the fourth one is the mathematical representation of the number by dividing 1 by 2 raised to the power of 12.
the unit kilowatt-hour is a measure of the unit kilowatt-hour is a measure of power. the amount of power used per second. an amount of energy. the rate at which energy is transformed.
The unit kilowatt-hour measures the amount of energy used or produced, whereas the rate at which energy is transformed is measured in kilowatts.
The unit kilowatt-hour (kWh) is a measure of energy, not power. Energy is a measure of the amount of work that can be done, and is usually measured in joules. Power, on the other hand, is a measure of the rate at which energy is transformed, and is usually measured in watts.
A kilowatt-hour is the amount of energy used or produced when a power of one kilowatt is used for one hour. For example, if a 100-watt light bulb is left on for 10 hours, it will have used
100 * 10 = 1000 watt-hours or 1 kilowatt-hour of energy.
So to summarize, the unit kilowatt-hour measures the amount of energy used or produced, whereas the rate at which energy is transformed is measured in kilowatts.
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(2sin(x) - 1)(tan(x) - 1) = 0 for 0 ≤ x ≤ 2 pi
Answer: x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4
Step-by-step explanation:
2sin(x)-1=0
tan(x)-1=0
sin(x)=1/2
tan(x)=1
x=π/6
x=5π/6
x=π/4
x=5π/4
x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4
2. Find the average value of the function \( f(x)=2 \cos x \) on \( \left[0, \frac{\pi}{2}\right] \). [4 Marks]
The average value of the function \(\( f(x) = 2 \cos x \)\) on the interval \(\( \left[0, \frac{\pi}{2}\right] \) is \( \frac{2}{\pi} \).\)
To find the average value of a function on a given interval, we need to calculate the definite integral of the function over that interval and then divide it by the length of the interval. In this case, the given function is \(\( f(x) = 2 \cos x \)\), and we are interested in the interval \(\( \left[0, \frac{\pi}{2}\right] \).\)
First, we calculate the definite integral of f(x) over the interval \(\( \left[0, \frac{\pi}{2}\right] \)\). The integral of cos x is sin x , so the integral of 2 cos x is 2 sin x . To find the definite integral, we evaluate 2 sin x at the upper and lower limits of the interval and subtract the results.
Plugging in the upper limit \(\( \frac{\pi}{2} \)\), we get \(\( 2 \sin \left(\frac{\pi}{2}\right) = 2 \cdot 1 = 2 \)\). Plugging in the lower limit 0 , we get \(\( 2 \sin 0 = 2 \cdot 0 = 0 \)\). Therefore, the definite integral of f(x) over the interval is \(\( 2 - 0 = 2 \).\)
Next, we need to calculate the length of the interval \(\( \left[0, \frac{\pi}{2}\right] \)\). The length of an interval is determined by subtracting the lower limit from the upper limit. In this case, the length is \(\( \frac{\pi}{2} - 0 = \frac{\pi}{2} \)\).
Finally, we divide the definite integral of f(x) by the length of the interval to find the average value. Dividing 2 by \(\( \frac{\pi}{2} \)\) gives us \(\( \frac{2}{\pi} \)\), which is the average value of the function\(\( f(x) = 2 \cos x \)\) on the interval \(\( \left[0, \frac{\pi}{2}\right] \).\)
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Come answer this question please
Answer:
You cannot combine -5x^2 and 2x.
Step-by-step explanation:
You cannot combine -5x^2 and 2x. They are not like terms
x^2 and x are not the same
VOn a coordinate plane, 4 lines are shown. Line A B has points (negative 3, 2) and (3, 0). E F has points (0, negative 3) and (2, 3). Line J K has points (negative 3, negative 4) and (3, negative 2). Line M N has points (negative 1, 4) and (2, negative 5).
Which line is perpendicular to a line that has a slope
of Negative one-third?
line MN
line AB
line EF
line JK
Answer:
line EF
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. Their product is -1. The given line has slope -1/3, so the line we are looking for has slope 3.
Slope AB (-3, 2), (3, 0)
m = (2 - 0)/(-3 - 3) = 2/(-6) = -1/3
Slope EF (0, -3), (2, 3)
m = (-3 - 3)/(0 - 2) = -6/(-2) = 3
Slope JK (-3, -4), (3, -2)
m = (-4 - (-2))/(-3 - 3) = -2/(-6) = 1/3
Slope MN (-1, 4), (2, -5)
m = (-5 - 4)/(2 - (-1)) = -9/3 = -3
The only line with slope = 3 is line EF.
Answer: line EF
On oct. 15, 2003, yang liwei orbited the earth 14 times in 21 hours for the country of china. How many hours did it take liwei to orbit the earth one time?.
Yang Liwei took 1.5 hours to orbit the earth one time.
What is an Orbit?A route that an object in space follows around another is known as an orbit.. An orbit is a regular, repeating path that one object in space takes around another one.
Given that the Yang Liwei orbited the Earth 14 times in 21 hours for the country of China.
To find the time period in one time,
Required time period = time period of total travel / number of times he orbited
Required time period = 21 / 14
Required time period = 3/2
Required time period = 1.5 hours
Hence, Yang Liwei will take 1.5 hours to orbit the earth one time.
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What type of number is -4/2?
Choose all answers that apply:
(Choice A) Whole number
(Choice B) Integer
(Choice C) Rational
(Choice D) Irrational
Answer:
The type of number that represents -4/2 is:
Choice B) Integer
Choice C) Rational
Step-by-step explanation:
The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.
-4/2 is an :
↬ Integer ↬ Rational numberSolution:
Before we make any decisions about the type of number -4/2 is, let's simplify it first.
It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?
______________
Whole numbersThis set incorporates only positive numbers and zero. So -2 doesn't belong here.
IntegersThis set incorporates whole numbers and negative numbers. So -2 belongs here.
RationalsThis set has integers, fractions, and decimals. So -2 does belong here too.
IrrationalsThis is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.
Summary-4/2 belongs in the integer and rationals set.
Hence, Choices B and C are correct.the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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Which equation best represents the linear function formed by the table?
Answer:
what table?
Step-by-step explanation:
the perimeter of a rectangle is 72 meters. the width of the rectangle is 4 meters less then it’s length. find the length and width of the rectangle.
The length of the rectangle is 20 m.
The width of the rectangle is 16 m.
How to Find the Perimeter of a Rectangle?The perimeter of a rectangle can be determined using the following formula:
Perimeter of rectangle = 2(length + width).
Let x represent the length of the rectangle. Therefore, we would have the following given parameters for the rectangle:
Length of the rectangle = x meters
Width of the rectangle = (x - 4) meters
Perimeter of the rectangle = 72 meters
We would have the following equation:
2(x + (x - 4)) = 72
Open the bracket and solve for x
2(x + x - 4) = 72
2(2x - 4) = 72
4x - 8 = 72
4x = 72 + 8
4x = 80
4x/4 = 80/4
x = 20
Length of the rectangle = x = 20 m
Width of the rectangle = (x - 4) = 20 - 4 = 16 m
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An annuity has a payment of $300 at time t = 1, $350 at t = 2, and so on, with payments increasing $50 every year, until the last payment of $1,000. With an interest rate of 8%, calculate the present value of this annuity.
The present value of the annuity is $4,813.52.
To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:
PV = C * (1 - (1 + r)^(-n)) / (r - g)
Where:
PV = Present Value
C = Payment amount at time t=1
r = Interest rate
n = Number of payments
g = Growth rate of payments
In this case:
C = $300
r = 8% or 0.08
n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14
g = Growth rate of payments = $50
Plugging in these values into the formula, we get:
PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52
Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.
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What is the area of the figure below?
7 cm
3 cm
8 cm
4 cm
A 22 cm
B. 24 cm2
C. 48.5 cm2
D. 56 cm2
Answer:
answer is a
Step-by-step explanation:
because u have to add all the side
Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4. 1% simple interest, and Dennis invests $2200 in an account yielding 5. 7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it? a. Rose has $230. 80 more than Dennis. B. Rose has $559. 40 more than Dennis. C. Dennis has $169. 20 more than Rose. D. Dennis has $512. 00 more than Rose. Please select the best answer from the choices provided A B C D.
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
Find the diameter of a circle with an area of 380 square inches. Round to the nearest whole number.