Answer:
5/26 chance because there is only five vowels in the alphabet
Answer:
Not counting y as a vowel: 5/26 or a 19.23% chance
Step-by-step explanation:
There are a total of 26 letters in the alphabet.
There are 5 vowels (a, e, i, o, u)
Picking a vowel has a 5 in 26 chance of occurring.
The temperature outside dropped 13 degress in 7 hours. The final temperature was -2 degrees. What was the starting temperature
Answer:
11 degrees
Step-by-step explanation:
13-2=11.
pls say hard very hard
Answer:
6
Step-by-step explanation:
The Volume is 4×6×9, which is 216
∛216
The cube root is 6.
I hope this helps!
pls ❤ and mark brainliest pls!
Arundel Corporation has 7,000 shares of 6% $100 par cumulative preferred stock outstanding. Arundel paid all preferred dividends due for the year 2019 but paid no dividends in 2020. What amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders?
The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Using this formula
2021 preferred shareholders(per year)=Per dividend * Dividend rate
Let plug in the formula
2021 preferred shareholders(per year)=[(7,000*$100)*6%]
2021 preferred shareholders(per year)=($700,000*6%)*2
2021 preferred shareholders(per year)=42,000*2
2021 preferred shareholders(per year)=84,000
Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Learn more about preferred shareholders here:
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Please find value of x
Answer:
x=140⁰
Step-by-step explanation:
80+50=130
180-130=50
50+30=80
360-80=
280/2
=140
The graph of y = Vx is translated 3 units to the left and 4 unitsdown.
What is the equation of the graph that results from this translation?
The equation of the graph after translation is y'' = √ ( x + 3 ) - 4
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the equation of graph be represented as y
Now , the value of y is
y = √x
And , after a translation of graph by 3 units to the left , we get
y' = √ ( x + 3 )
Now , the translation of 4 units down is given by
y'' = y' - 4
y'' = √ ( x + 3 ) - 4
Hence , the translated equation is y'' = √ ( x + 3 ) - 4
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Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation
Step-by-step explanation:
Hi there!
Given;
The equation of straight line is 2y-3x+6 = 0.
a. Express in the form of y = mx + c.
2y-3x+6 = 0
2y = 3x-6
y = (3x-6)/2
y = (3/2)X - 3
Therefore, the required equation is : y = (3/2)x-3.
b.
The y-intercept of the equation is -3.
Hope it helps!
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP
Answer:
1. the smiley face, the top right corner.
2. top left corner again
3. rotation i think...
4. e looks like the answer not sure.
Step-by-step explanation:
ez... maybe
Answer:
1st page-1
2nd page-b on the second line
3rd-b
4th-a
5th-c
Step-by-step explanation:
What is 888 x - 666?
What is 888 x - 666? = -591408
[tex]Hello[/tex] [tex]There![/tex]
Ummmmm... I could be wrong?
I think it is...
-591408
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
ME has the endpoints of M(-6,4) and E (5,-2) find the midpoint and distance of ME
Answer:
(-0.5, 1)- the midpoint, the distance is sqrt157
Step-by-step explanation:
The midpont is O
x0= (-6+5)/2= -0.5
yo= (4-2)/2=1
(-0.5, 1)
The distance is sqrt ((5-(-6))^2+(-2-4)^2)=sqrt 157
What is the measure of angle 1?
Answer:
Angle 1 is 129
Step-by-step explanation:
You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.
The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?
Answer:
[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;
2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;
for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.
3) if to solve the system of two equations, then:
[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]
4) finally: the first term is '39/8', the difference is '-1/4'.
Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select two marbles from the bag, one after the other without replacing the first, what is:
Answer:
6 is the answer.
HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.
units
Answer:
if m is the midpoint of AB
then,AM will be equal to MB
Therefore,
[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]
what is the vertex of y<∣x−3∣+5
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?
Answer:
Just 2 hours
Step-by-step explanation:
Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours
which which division problem does the diagram below best illustrate? 60 points
Answer:
If the diagram is 8 ovals with 4 squares each, and we know that this is a division,
then we have that an unknown number X is such that:
X/4 = 8 this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.
Then we can solve the equation for X. X/4 = 8
We multiply each side of the equality by 4 X= 4*8 = 32
then the diagram represents the division: 32/4 = 8 or " 32 divided by 4 = 8"
I’m so confused what is answer to the value of x HELPPP
Answer:
x=5/2 or 2.5
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.
that also means that they are equal.
and so,
8x + 15 = 4x + 25
4x = 10
x = 10/4 = 5/2 = 2.5
Could 3, 6 and 8 represent the lengths of the sides of a right triangle?
A. Yes, because the sum of the squares of the legs does equal the sum of the square of the hypotenuse.
B. No, because the sum of the square of the legs does not equal the square of the hypotenuse.
C. No, because the sum of the sides does not equal the hypotenuse.
D. Yes, because the sum of the legs does equal the hypotenuse.
Answer:
Step-by-step explanation:
No because the sum of the two shorter legs does not equal the square of the hypotenuse.
3^2 = 9
6^2 =36
8^2 =64
9 and 36 do not equal 64
Which graph represents the function below?
h(x)= {-3x+2, x ≤ 2}
{1/2x -4, x > 2}
Answer is the third graph it was just an error..
Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)
(SOMEONE PLEASE ANSWER TIMED TEST)
Answer:
answer is xy
Step-by-step explanation:
✓x-y=xy
y x=xy
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = (x3 + y3)i + (y3 + z3)j + (z3 + x3)k, S is the sphere with center the origin and radius 3.
By the divergence theorem, the flux of [tex]\vec F[/tex] across S is equal to the volume integral of [tex]\mathrm{div}(\vec F)[/tex] over the interior of S.
We have
[tex]\vec F(x,y,z) = (x^3+y^3)\,\vec\imath + (y^3+z^3)\,\vec\jmath + (z^3+x^3)\,\vec k \\\\ \implies \mathrm{div}(\vec F) = \dfrac{\partial(x^3+y^3)}{\partial x} + \dfrac{\partial(y^3+z^3)}{\partial y} + \dfrac{\partial(z^3+x^3)}{\partial z} = 3(x^2+y^2+z^2)[/tex]
so that
[tex]\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \iiint_T \mathrm{div}(\vec F)\,\mathrm dV = 3 \iiint\limits_{x^2+y^2+z^2\le3} (x^2+y^2+z^2)\,\mathrm dx\,\mathrm dy\,\mathrm dz[/tex]
To compute the volume integral, convert to spherical coordinates with
x = ρ cos(θ) sin(ϕ)
y = ρ sin(θ) sin(ϕ)
z = ρ cos(ϕ)
so that
ρ ² = x ² + y ² + z ²
dx dy dz = ρ ² sin(ϕ) dρ dϕ dθ
The region T is the interior of the sphere S, given by the set
[tex]T = \left\{(\rho,\theta,\phi) \mid 0\le\rho\le3 \text{ and } 0\le\phi\le\pi \text{ and }0\le \theta\le2\pi\right\}[/tex]
So we have
[tex]\displaystyle 3 \int_0^{2\pi} \int_0^\pi \int_0^3 \rho^4 \sin(\phi) \,\mathrm d\rho \,\mathrm d\phi \,\mathrm d\theta \\\\ = 6\pi \left(\int_0^\pi \sin(\phi)\,\mathrm d\phi\right) \left(\int_0^3 \rho^4 \,\mathrm d\rho\right) = \boxed{\frac{2916\pi}5}[/tex]
The required surface integral S, and flux across F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]
Given that,
Function;[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},[/tex]
S is the sphere with center the origin and radius 3.
We have to determine,
Use the Divergence Theorem to calculate the surface integral S, F.dS that is, calculate the flux of F across S.
According to the question,
By the divergence theorem, the flux of [tex]\vec{F}[/tex]across S is equal to the volume integral of [tex]div(\vec{f})[/tex] over the interior of S.
S is the sphere with center the origin and radius 3.
Therefore,
[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},\\\\= div\vec({F}) = \dfrac{d(x^3+y^3)}{dx} + \dfrac{d(y^3+z^3)}{dx} + \dfrac{d(z^3+x^3)}{dx} = 3(x^{2} + y^{2} + z^{2} )\\\\Then,\\\\\int \int_S \vec{F}(x, y, z) . \vec{ds} = \int \int \int _T div\vec{F}dV= 3 \int \int\int (x^{2} + y^{2} + z^{2} )dx.dy.dz[/tex]
To compute the volume integral, convert to spherical co-ordinate,
[tex]x = p\ cos\theta\ sin\phi\\\\y = p \ sin\theta \ sin\phi\\\\z = p\ cos\phi\\\\[/tex]
Therefore,
[tex]p^2 = x^{2} + y^{2} +z^{2} \\\\dx.dy.dz = x^{2} \ sin\phi \ dp\ d\phi \ d\theta[/tex]
The region T is the interior of the sphere S is given by the set,
[tex]T = {[ p,\theta,\phi}] | \ (0\leq p\leq 3 \ and \ \ 0\leq \phi \leq \pi \ and \ 0\leq 0\leq 2\pi )[/tex]
Then,
[tex]= 3 \int^2_0 \int^\pi _0 \int^3_0 p^4. sin(\phi). dp.d\phi .d\theta\\\\= 6\pi ( \int^\pi _0 sin(\phi).d\phi) (\int^3_0 p^4dp\\\\= \dfrac{2916\pi }{5}[/tex]
Hence, The required surface integral S, F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]
To know more about Integration click the link given below.
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Two trucks leave a warehouse at the same time. One travels north at an average speed of 58miles per hour, and the other travels south at an average speed of 64miles per hour. After how many hours will the two trucks be 488 miles apart?
Answer:
4 hours
Step-by-step explanation:
After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles. 232 + 256 = 488 miles.
Answer equation in photo, show work please and thanks
Answer:
19
Step-by-step explanation:
There are 38 points total, each field goal is 2 points.
If we do 38/2 we get 19.
Image has work...
[tex]\frac{38}{2}[/tex]
Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671
Answer:
89,892
Step-by-step explanation:
[tex]x+y[/tex]
[tex](38,221)+(51,671)[/tex]
[tex]89,892[/tex]
find the measure of the missing angles…
Answer:
Angle e = 35 degrees
Angle f = 180-35-109 = 36 degrees
Angle d = 109 degrees
Step-by-step explanation:
Choose the best description of the associative property of addition.
O A. The smaller of two addends is called an associated number.
OB. The way in which numbers are grouped to be added does not change the sum.
O c. If one of two numbers is 1 more than the second number, the numbers are called associated numbers.
OD. When zero is added to a number, the sum is that number.
Answer:
B. The way in which numbers are grouped to be added does not change the sum.
HELP ME OUT PLZZZZZZ
Answer:
x=5
JK = 40 units
Step-by-step explanation:
JM=MK since the have the little red line which shows they are equal
7x+5 = 8x
Subtract 7x from each side
7x+5 -7x= 8x-7x
5 = x
JK = 7x+5 = 7(5)+5 = 35+5 = 40
Where does the graph of the line y = x − 2 intersect the x-axis
(0,2) is your answer
Explanation