-$1.71
To find the average of a set of numbers, you add them all together and divide by the amount of numbers.
Start by adding the numbers together to get -8.55.
Since they are 5 numbers, divide -8.55 by 5 to get -1.71.
So, the average daily change of the stock’s value is -$1.71.
who has fulton virtual
Answer:
no i don't sry
Step-by-step explanation:
Fulton Virtual provides competency based, personalized middle and high school learning options for FCS students throughout the district. This page is where students request and access Fulton Virtual courses. Parents can access the Fulton Virtual parent portal here too.
Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)
Answer:
0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3
Step-by-step explanation:
We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.
Solving,
= 0.3(8.2 x 10^-3)
= 0.3 * 0.0082
= 0.00246
Writing in scientific notation
= 2.46 X 10 ^ -3
So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.
I really need help with this!!
Answer:
Step-by-step explanation:
10 contain both chocolate and caramel
There are 18 candies.
3 don't contain either chocolate or caramel
12 contain chocolate.
There are 18 - 12 - 3 that are not accounted for. So we have 3 that are not mentioned. Those 3 must contain just caramel.
So it should be filled out like this
contain caramel Do not contain Caramel
10 2
3 3
Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?
Answer:
Probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]
Step-by-step explanation:
We are given that we deal with three cards from a regular deck of 52 cards.
We are to find the probability of getting all three Jacks.
There are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]
Find the circumference of the circle. Use π ≈ 3.14.
8 cm
50.24 cm
200.96 cm
16 cm
Answer:
50,24cm
Step-by-step explanation:
For circumference, you can use C = πd OR 2πr = C:
3,14[16] = 50,24
2[3,14][8] = 50,24
The diameter is double the radius.
I am joyous to assist you anytime.
Which of the following is the equation of a hyperbola with center at (0, 0), with a = 4, b = 1, opening horizontally?
Answer:
The equation of the hyperbola is x²/16 - y²/1 = 1
Step-by-step explanation:
* Lets study the equation of the hyperbola
- The standard form of the equation of a hyperbola with
center (0 , 0) and transverse axis parallel to the x-axis is
x²/a² - y²/b² = 1
# The length of the transverse axis is 2a
# The coordinates of the vertices are (±a , 0)
# The length of the conjugate axis is 2b
# The coordinates of the co-vertices are (0 , ±b)
# The coordinates of the foci are (± c , 0),
# The distance between the foci is 2c where c² = a² + b²
* Now lets solve the problem
∵ The center of the hyperbola is (0 , 0)
∵ It is opening horizontally
∴ x²/a² - y²/b² = 1
∵ a = 4 , b = 1
∴ a² = (4)² = 16
∴ b² = (1)² = 1
∴ x²/16 - y²/1 = 1
∴ The equation of the hyperbola is x²/16 - y²/1 = 1
x²/16 - y²/1 = 1
Step-by-step explanation:
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer: B.) f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞
The graph touches, but does not cross, the x–axis at x =__
The graph of the function crosses the x–axis at x = ___
Answer: End behaviour is,
f(x) => -∞ as x => -∞;
f(x) => +∞ as x => +∞
The graph touches, but does not cross, the x–axis at x = 4
The graph of the function crosses the x–axis at x = 0
Step-by-step explanation:
Given function is,
[tex]f(x)=x^5-8x^4+16x^3----(1)[/tex]
The degree of f(x) is 5 ( odd ) with positive leading coefficient,
Hence, the end behaviour of f(x) is,
f(x) => -∞ as x => -∞;
f(x) => +∞ as x => +∞
Now, from equation (1),
[tex]f(x)=x^3(x^2-8x+16)[/tex]
If f(x) = 0,
[tex]x^3(x^2-8x+16)=0[/tex]
[tex]\implies x^3=0\text{ or }x^2-8x+16=0[/tex]
[tex]x^3=0\text{ or }(x-4)^2=0[/tex]
[tex]x^3=0\text{ or }x-4=0[/tex]
[tex]\implies x=0\text{ or }x=4[/tex]
Now, the multiplicity of 4 is 2 ( even )
Thus, the graph touches, but does not cross, the x–axis at x = 4
Also, the multiplicity of 0 is 3 ( odd )
Hence, the graph of the function crosses the x–axis at x = 0
By using the concept of end behavior of a function, the result is
f(x) [tex]\rightarrow[/tex] [tex]-\infty[/tex] as x [tex]\rightarrow -\infty[/tex] and f(x) [tex]\rightarrow[/tex] [tex]\infty[/tex] as [tex]x \rightarrow[/tex] [tex]\infty[/tex]
The graph touches, but does not cross the x - axis at x = 4 as the multiplicity of 4 is even
The graph of the function crosses the x - axis at x = 0 as the multiplicity of 0 is odd.
What is end behavior of a function?
Let the function be f(x). End behavior of a function f(x) indicates how will the function behaves as x tends to +[tex]\infty[/tex] and [tex]-\infty[/tex]
Here,
f(x) = [tex]x^5 - 8x^4 + 16x^3[/tex]
[tex]\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} x^5 - 8x^4 + 16x^3\\\\= -\infty[/tex]
[tex]\lim_{x \to \infty} f(x) = \lim_{x \to \infty} x^5 - 8x^4 + 16x^3\\\\= \infty[/tex]
So f(x) [tex]\rightarrow[/tex] [tex]-\infty[/tex] as x [tex]\rightarrow -\infty[/tex] and f(x) [tex]\rightarrow[/tex] [tex]\infty[/tex] as [tex]x \rightarrow[/tex] [tex]\infty[/tex]
f(x) = [tex]x^5 - 8x^4 +16x^3[/tex]
= [tex]x^3(x^2 - 8x +16)\\[/tex]
= [tex]x^3(x - 4)^2[/tex]
[tex]x^3 = 0[/tex] or [tex](x - 4)^2 = 0[/tex]
[tex]x = 0[/tex] (Multiplicity 3 which is odd)
[tex]x = 4[/tex] (Multiplicity 2 which is even)
So The graph touches, but does not cross the x - axis at x = 4 as the multiplicity of 4 is even
The graph of the function crosses the x - axis at x = 0 as the multiplicity of 0 is odd.
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(1) 1 UU
15. Line segment RW has endpoints R(4, 5) and W6, 20). Point P is
on RW such that RP:PW is 2:3. What are the coordinates of point P?
(1) (2,9) (2) (0, 11) (3) (2, 14) (4) (10,2)
14
Answer:
P = (4.8, 11)
Step-by-step explanation:
P = 3R + 2W
RP + PW
= 3(4,5) + 2(6,20)
2 + 3
= (12,15) + (12,40)
5
= (24,55) = (4.8, 11)
5
Line segment RW has endpoints R(4, 5) and W(6, 20). Point P is
on RW such that RP: PW is 2:3. the coordinates of point P would be (0, 11).
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment {AB} such that a point P(x,y) lying on that line segment{AB} divides the line segment {AB} in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is (x_1, y_1)
and the coordinate of B is (x_2, y_2)
Line segment RW has endpoints R(4, 5) and W(6, 20). Point P is
on RW such that RP: PW is 2:3.
[tex](x,y) = \left( \dfrac{2(6) + 3(-4)}{2+3} , \dfrac{2(20) + 3(5)}{2+3} \right)\\\\(x,y) = \left( \dfrac{12- 12}{5} , \dfrac{40+15}{5} \right)\\\\(x,y) = \left( \dfrac{0}{5} , \dfrac{55}{5} \right)\\\\(x,y) = (0, 11)[/tex]
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The actual value of the population that the statistic tries to estimate is called the parameter. A.true B. False
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
the parameter tells you something about the whole population
Please Help!!
Use Euler’s formula to write in exponential form.
Answer:
C, [tex]4e^{i(7\pi/4)}[/tex]
Step-by-step explanation:
To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:
[tex]e^{ix}=\cos{x}+i\sin{x}[/tex]
Given the complex number [tex]2\sqrt{2}-2i\sqrt{2}[/tex], we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.
One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression [tex]2(\sqrt{2}-i\sqrt{2})[/tex]
Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression [tex]4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right)[/tex] , and now we have something to work with.
Looking back at Euler's formula [tex]e^{ix}=\cos{x}+i\sin{x}[/tex], we can map our expression inside the parentheses to the one on the right side of the formula, giving us [tex]\cos{x}=\frac{\sqrt2}{2}[/tex] and [tex]\sin{x}=-\frac{\sqrt2}{2}[/tex], or equivalently:
[tex]\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x[/tex]
At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so [tex]x=\frac{7\pi}{4}[/tex], and we can finally replace our expression in parentheses with its exponential equivalent:
[tex]4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}[/tex]
Which is c on the multiple choice section.
what are the solutions of tye quadratic equation below 3x²-x=11
Answer:
Step-by-step explanation:đáp án a
∆=b²-4ac= 1² - 4*3*(-11)=133
=>√∆=√133
X=(-b±√∆)/2a
X=(-(-1)±√133)/2*6
X=(1±√133)/6
Solve for x
2(x+1)=8
Provide step by step instructions
Step-by-step explanation:
2 * (x + 1) = 8 | :2
x + 1 = 4 | -1
x = 3
Answer:
x = 3
Step-by-step explanation:
2 ( x + 1 ) = 8
⇒ Expand brackets
2 x + 2 = 8
⇒ Minus 2 from both sides
2 x = 6
⇒ Divide by 2 from both sides to isolate x
x = 3
what does 6v+2-4=-3 equal?
Answer: v = [tex]-\frac{1}{6}[/tex]
6v + 2 - 4 = -3 Combine like terms
6v - 2 = -3 Add 2 to both sides
6v = -1 Divide both sides by 6
v = [tex]-\frac{1}{6}[/tex] Answer!
Factored form of 5(q-9)+c(q-9)
Answer:
(q-9) (5+c)
Step-by-step explanation:
Factor out the common factor. In this case, q-9.
5(q-9) + c(q-9)
(q-9) (5+c)
4. With an eccentricity of 0.25, Pluto's orbit is the most eccentric in the
solar system. The length of the minor axis of its orbit is approximately
10,000,000,000 km. Find the distance between Pluto and the sun at
perihelion and aphelion (perihelion is the point where it is closest to the
sun, and aphelion is the point where it is furthest from the sun.) Round
your answers to the nearest kilometer.
aphelion
At aphelion, the distance between Pluto and the sun is approximately 8,000,000,000 km.
Explanation:The distance between Pluto and the sun at aphelion can be calculated using the formula:
Distance at aphelion = length of the minor axis / (1 + eccentricity).
Plugging in the given values, we get:
Distance at aphelion = 10,000,000,000 km / (1 + 0.25).
Calculating the result gives us a distance of approximately 8,000,000,000 km.
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What is the greatest common factor of the terms in the polynomial 8xt – 4х – 18x??
o 2х
o2x?
ООО
2x
so...
2x (4t - 2 - 9)
2x (4t - 11)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
It's 2x.
Step-by-step explanation:
The GCF of 8, 4 and 18 is 2.
The GCF of xt x and x is x.
please help me i dont get it at all
y = 218.2. The lenght of side y by trigonometry is 218.2.
In order to solve this problem we are going to use the angles and sides of a right triangle and its relation by expressions that we call trigonometric ratios.
In the image we can see that the lenght of the opposite leg is 141 , we do not know the lenght of the adjacent leg y and the hypotenuse x. The key to solve this problem is to use trigonometric ratios and the equation tan θ = sin θ/cos θ = opposite leg/adyacent leg = 141/y
Clear for y for the equation tan θ = sin θ/cos θ = 141/y, we obtain:
y = arctan θ (141)
y = arctan (43°)(141) = 218.2
Simplify (2x-5y)^3-(2x+5y)
Answer:
4x-10y thingi 3
Step-by-step explanation:
Solve the equation for x.
the square root of the quantity x minus 6 end quantity plus 3 equals 10
A. x=1
B. x=13
C. x=43
D. x=55
ANSWER
D. x=55
EXPLANATION
The given radical equation is
[tex] \sqrt{x - 6} + 3 = 10[/tex]
Add -3 to both sides
[tex] \sqrt{x - 6} = 10 - 3[/tex]
[tex] \sqrt{x - 6} =7[/tex]
Square both sides.
[tex] { (\sqrt{x - 6})}^{2} = {7}^{2} [/tex]
[tex]x - 6 = 49[/tex]
Solve for x to get:
[tex]x = 49 + 6 = 55[/tex]
Which inequality represents the
following situation times 5 less
than a number is no more than 27?
[tex]\frac{3}{5}(x - 5) \leq 27[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: Option D
The inequality that represents the situation is:
[tex]\frac{3}{5}(x-5)\leq 27[/tex]
following situation
Step-by-step explanation:
Suppose an unknown number X.
That number minus 5 is:
[tex]x-5[/tex]
Now, [tex]\frac{3}{5}[/tex] times the unknown number minus 5 is:
[tex]\frac{3}{5}(x-5)[/tex]
We know that all this expression is not greater than 27.
Then we use the symbol "less or equal than" ([tex]\leq[/tex]) to represent the situation
[tex]\frac{3}{5}(x-5)\leq 27[/tex]
the total cost of a jacket and a sweater was $77.54. if the price of the jacket was $3.98 less than the sweater, what was the price of the jacket ?
Answer: The jacket cost $34.79
Solve the equation for x square root x-8+2=7
Square root x=13
x=169
Hope you get it!
To solve the equation x^2√x-8+2=7, follow these steps: combine like terms, square both sides, simplify, take the cube root, and simplify again to find x = 3.
Explanation:To solve the equation x2√x-8+2=7, we need to isolate the variable x. Here are the steps:
Combine like terms: x2√x = 3.Square both sides of the equation to eliminate the square root: (x2√x)2 = 32.Simplify: x3 = 9.Take the cube root of both sides: (∛x3) = (∛9).Simplify: x = 3.Therefore, the solution to the equation is x = 3.
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Which of the following describes the graph of y=sq -4x-36 compared to the parent square root function
Answer:
Step-by-step explanation:
First, let's simplify the equation:
y = √(-4x - 36)
y = √(4(-x - 9))
y = 2√(-x - 9)
The 2 coefficient in front means the function is stretched by a factor of 2.
The - sign in front of the x means the function is reflected over the y axis.
The -9 constant means the function is shifted 9 units to the right.
The third one is the correct answer.
Answer:
D: Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
I actually just did this and used the answer above and got it wrong, so the answer I put down is the correct answer according to edg... Good Luck!!!
What does it mean to be a unit of account
Final answer:
A unit of account is a standardized metric for determining the worth of items and services in an economy, facilitating comparisons, trade-offs, and accounting. It eliminates the inefficiencies of barter by providing a common denominator for value.
Explanation:
Unit of account is one of the fundamental functions of money, serving as a standardized metric for determining the worth of items and services in an economy. This function allows for the assignment of prices and the performance of accounting, which is vital for making rational economic decisions. In essence, it provides a common denominator by which value can be measured, allowing for easier comparison and exchange. For instance, if an accountant charges $100 to file a tax return, this monetary amount can also represent the value of other goods, such as two pairs of shoes priced at $50 each. This facilitates trade-offs and helps to calculate revenue, expenditure, and savings, among other economic activities.
Without a unit of account, the economic system would likely rely on barter, which is significantly less efficient due to the necessity for a double coincidence of wants. Modern economies use fiat money as their unit of account, which has no intrinsic value but is declared legal tender by the government.
Can someone help me solve the blanks PLEASE
Step-by-step explanation:
You need to remember that
[tex] log( \frac{a}{b} ) = log(a) - log(b) [/tex]
and
[tex] log(ab) = log(a) + log(b) [/tex]
then the solution is
[tex] log( \frac{r}{st} ) = log(r) - log(st) \\ = log(r) - ( log(s) + log(t) ) \\ = log(r) - log(s) - log(t) [/tex]
A and B are complementary angles of right triangle ABC, COS A = 0.83, and cos B = 0.55. What is sin A + sin B?
Answer:
Complementary angles are two angles which add up to 90° or forms a right angle. First, we find the value of A and B.
A = arccosine (0.83) = 34°
B = 90 - 34 = 56°
Thus, sin A = 0.56 and sin B = 0.83.
Step-by-step explanation:
Subtract: (2x3+7x2−4)−(2x2+4x−10)
To subtract the given expressions, first, simplify each expression separately by combining like terms. Then subtract the second expression from the first expression by distributing a negative sign and adding it to the first expression.
Explanation:To subtract the given expressions, (2x^3+7x^2-4) - (2x^2+4x-10), we need to simplify each expression separately and then subtract them. First, combine like terms within each expression. Then, subtract the terms of the second expression from the first expression. This can be done by distributing a negative sign to each term in the second expression and then adding it to the first expression.
So, (2x^3+7x^2-4) - (2x^2+4x-10) = 2x^3+7x^2-4 - 2x^2-4x+10.
Combining like terms, we get 2x^3+(7x^2-2x^2)+(-4-4x)+(10). Simplifying further, we have 2x^3 + 5x^2 - 4x + 6. Therefore, the result of the subtraction is 2x^3 + 5x^2 - 4x + 6.
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Please help hurry !!!!!Please!
Answer:
2(1/2)(5)(12) + 11(5) + 11(12) + 11(13) =
60 + 55 + 132 + 143 = 390 m²
4y^2 - 37 = 27, what is the positive value of y?
Answer:
y = 4Step-by-step explanation:
[tex]4y^2-37=27\qquad\text{add 37 to both sides}\\\\4y^2=64\qquad\text{divide both sides by 4}\\\\y^2=16\to y=\pm\sqrt{16}\\\\y=-4\ or\ y=4[/tex]
To solve for 'y' in the equation 4y^2 - 37 = 27, you isolate y^2, take the positive square root, and find that the positive value of y is y = 4.
Explanation:To find the positive value of 'y' from the equation 4y^2 - 37 = 27, we first need to isolate y. Starting with 4y^2 - 37 = 27, add 37 to both sides to get 4y^2 = 64. Divide both sides by 4 to isolate y^2, leading to y^2 = 16. Finally, take the square root of both sides. Remember that the square root of a number gives both positive and negative solutions. However, because the question asks for the positive value, we ignore the negative root. Thus, the positive value of y is y = 4.
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Choose a number line to model the following situation:
Pedro deposited $35 in his savings account, then withdrew $50.
Answer: Number 4.
Since Pedro deposited $35, the line would start at 0 and go up to positive 35. However, Pedro then withdrew $50- which is more than he has in his account, so he would have $-15, which means he'd owe a fee.
Good luck,
LaciaMelodii :)
Answer:
d). or the 4th choice
Step-by-step explanation:
hope this helped!!