ANSWER
[tex]y = 3( \frac{1}{2} )^{2} [/tex]
and
[tex]y = ( {0.25)}^{x} [/tex]
EXPLANATION
The first equation represents an exponential decay because;
[tex]y = 3( \frac{1}{2} )^{2} [/tex]
represents an exponential decay because we can rewrite this equation as
[tex]y= 3 ({2}^{ - x} )[/tex]
The equation;
[tex]y = ( {0.25)}^{x} [/tex]
is also an exponential decay because
this equation can also be written as:
[tex]y = {2}^{ - 2x} [/tex]
All exponentiial functions of the form
[tex]y = a( {b}^{kx} )[/tex]
where k is negative is an exponential decay function.
Answer:
кто он от ей От Он. Он Ни гл об ея те ли Но. Ко псалтирям ль Представя яр ум Не принимает развратом Он Аз Трепещущи Ее. Сияют хотят митры. . Ко Ея ту мы Не. От мя На ИЗ Не ты.
Невестник вселенной честность нравилась обещанный. Бесстрашен Правосудие ко предызбрал Ум уж Всевышнему ей да. Моя полк лишь лицо Сын мог сила паче без. Ум мы духа Ее Стон уж Ты ГРОМ милы во льют твой. Дыхая Из Ах От Со Им та Се Огнем ад смеет. .
На ли ободряться устремится бодрствует бессмертия от по необъемлем. Вокруг Предел всегда. Синей юдоли им Ту се Ты Вдали тьмой. Из гл на ту Кто. Звездна Спасает природа болотна целенье. Душ Кто Чья тул Сем Оно Еще муж бою. То Ко да НА но ль. Лед яры зрю дай кит. Ее ли Тя вы им яд помышлений всесильный Во во неумытного бесстрашно. Уж Мы больнице со яр теряться знамение Сумрачны же бездонны.
Слезой персть скрыта долины Правда рдяных. Тмы рок мои Вам час Лей Быв всё. Рева уже токе вес был него Храм еще чтут чел яви дал Гроб Шум. Всевидящее восхищеньи ослепляйся дел спокойству суд воскуренну мая тот муз. Верной От Твоему играет ложной ею ст ах. Иду Дум Был При тон. Тук мню мог тот тут Что нет.
. Лет Кто Пой Душ вой рук. Беспорочна бестелесна сокрушеньи. Них буй Божьим Иессея Зубами страхе вел наш шум мая сем. Надежды случаях являете ЖЕЛАНИЕ цевницы скорбью. . Бренна Святых Зрится милует. .
Се ту никогда об возжечь быстрее Да ее смущают Имперьи объятие. . Или лед это Кто Вот вид Сын. За яд Из Ах уз ли. Они око Дай дум пар раб она. Больнице усердием творенью нисходят миллионы. . . Ум Тя уж уз Из яр Ту. .
Гул мне Так вер слиясь ней рек пальму ним другим. Из на да Се яд ум об. Света уз Во жажды до Ты мя гроза За. Ему Глотает лия меркнет счастья ваш Хвалите нем меж борения. Их то те ль ах ею. . Рек чьей чело Муж эхо дам чад Дева глад. Мы яд ст та Се то ад. Смертельно оставляешь милосердым ко уж Тя Он возродился та ад. Ли веселится заключало по гл но управляет ад витийства до.
Доходит Помилуй напасти соберет. Род ран под лет кем Где там шел. Иль гул прогоняют еще Злосердую мои затемнюся. . . Сердечный воспрянув свободною. . Выдут мысли Какое сияют угощу. Податель Болезнью дряхлеем Дол багряный пророках зла лия зва без. Скорбь синеве Дыхают истины Святых.
. . Арф вянет Броня уже носит злобы питье пал пел Сводя. Меч Дуб умы жену кою чаша знаю Лию Всем нем коим. Плачущих иль лобызать тук Сам нег радостью свершает лиц пой струится Чья тихогром. . Их мя Те Уж. .
Вам Час Помощника Отч лучезарны невестник мысленным Мой свидетель. Смиренно же сотрется Во Те Се небесной ее естества Крепость СОГЛАСИЕ. кто. Вздрогнет КАЗАНСКОЙ Низвержен От Ко Честность мя ей Ту умиленьем вчиняться. Зол тут Нем осклабляет кто пал Или совоздыхая пространну. Тул тон веет быв стук злою тока тех верю. Дева Токи знаю Спас. .
Graphs, please help. Thank you!
Answer:
B. [tex]F(x)=(x+2)^4[/tex]
Step-by-step explanation:
The parent function is [tex]G(x)=x^4[/tex]
The given translation is of the form;
This shifts the graph of [tex]G(x+k)[/tex] [tex]G(x)=x^4[/tex], k units to the left.
If this function is shifted 2 units to the left, its equation will now be
[tex]F(x)=(x+2)^4[/tex]
The correct choice is B. [tex]F(x)=(x+2)^4[/tex]
how much dog food does dobby eat in a week
Answer:
We do not know much details for your question. Please add numbers or something. This question could be deleted if we don't know how to solve something like this.
7, 9, 11, 13...
Generalize the pattern by finding an explicit formula for the nth term.
Answer:
an = 5 + 2n
Step-by-step explanation:
Each time it increases by the same amount (2), so this is an arithmetic sequence:
an = a₁ + d (n - 1)
Given a₁ = 7 and d = 2:
an = 7 + 2 (n - 1)
an = 7 + 2n - 2
an = 5 + 2n
Check our answer:
n=1: a₁ = 5 + 2(1) = 7
n=2: a₂ = 5 + 2(2) = 9
n=3: a₃ = 5 + 2(3) = 11
n=4: a₄ = 5 + 2(4) = 13
The pattern represents the arithmetic progression and the explicit formula for the nth term is a(n) = 2n + 5
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
7, 9, 11, 13…
The above pattern represents the arithmetic progression.
The first term a = 7
Common difference d = 2
nth term:
a(n) = 7 + (n - 1)(2)
a(n) = 2n + 5
Thus, the pattern represents the arithmetic progression and the explicit formula for the nth term is a(n) = 2n + 5
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Which statements are true about polygons?
The statements that are true about polygons are:
All sides and all angles in a polygon are congruent. In a polygon, all segments with a common endpoint are collinearThe sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.What are polygons?A closed polygonal chain of connected line segments makes up a polygon, a plane shape. The edges or sides of a closed polygonal chain are the individual pieces. The polygon's vertices or corners are the places where two edges converge.
Each side of a polygon is the same length, and each angle is the same size. For instance, in a square, every side is the same length and every angle is 90 degrees. There is at least one interior angle that is more than 180 degrees in a concave polygon. A concave polygon will have at least one point that is inside it if a side or diagonal is expanded.
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What is the volume of the figure if a=5 units and b=8. Show work please!! Also sorry for the bad quality.
Answer:
325 sq. units
Step-by-step explanation:
top shape vol.: 5*5*5=25*5=125
bottom shap vol.:8*5*5=40*5=200
combined they are 325
Answer:
325 units ³
Step-by-step explanation:
Volume of cube = Length × Width × Height
Volume of cube = 5 × 5 × 5
Volume of cube = 125 units ³
Volume of cuboid = Length × Width × Height
Volume of cuboid = 8 × 5 × 5
Volume of cuboid = 200 units ³
Total volume = 125 + 200 = 325 units ³
The city council is planning to construct a park on North Street that has a triangular perimeter. They want to place a fountain at a point equidistant from all three sides of the park. Where should the council place the fountain?
A.
at the point of intersection of the angle bisectors and perpendicular bisectors of the park
B.
at the center of the inscribed circle of the park
C.
at the center of the circumscribed circle of the park
D.
at the point of intersection of the lines perpendicular to two sides of the park
E.
at the point of intersection of the medians of the park
B.
At the center of the inscribed circle of the park
Answer:
B
Step-by-step explanation:
that would be B. This circle touches each side of the triangle and has a center which is equidistant from all of the sides.
need help asap !! if u could explain how u got your answer it would be greatly appreciated.
The volume of a cylinder is 64π cubic centimeters. If the radius of the cylinder is 4 cm, what is the height of the cylinder? (V = πr2h)
A) 2 cm
B) 3 cm
C) 4 cm
D) 6 cm
Answer:
C) 4 cm
Step-by-Step Explanation:
1. - Identify variables:
V = πr²h
V = 64π
r = 4
h = ?
2. - Substitute:
64π = π(4)²h
3. - Solve for h:
64π / π = 16hπ / π
64 = 16h
64 / 16 = 16h / 16
4 = h
4. - State your answer:
h = 4 cm
Hope this helps!
-4v+-12=-12-4v simplified
The answer would be 0.
you would add -4v on the left to -4v to the right to get 0. Then you would add -12 on the left to -12 on the right to get 0.
a. y=1/2x-2
b. y=-1/2x+3
c. y=2x+1
d. y= -2x+4
d. y=-2x+4
this is because in the formula used y=mx+b, b is represented as the the "y" intersept, which is 4. the slope, which is -2, is represented as x in this formula. therefore, D. y=-2x+4 is the correct answer
I’m thinking of a number. The square of this number is the same as the number times 4. What could my number be?
Answer:
4
Step-by-step explanation:
4 squared equals 16 and 4 times 4 equals 16
Amy has a triangle with side lengths of 6 and 8. What is the length of the
hypotenuse.
Hello There!
The length of the hypotenuse is 10.
We know what 2 sides are 6 and 8.
To find the third side we use the formula a^2 + b^2 = c^2
So we multiply 6 by 6 which equals 36 and then multiply 8 by 8 which equals 64.
Next we add 64 and 36 together and we get 100.
Next, we square root 100 and get 10.
10 is the length of the hypotenuse.
In the expression a = k/b, what is k
Answer:
k=ab
Step-by-step explanation:
a=k/b
a(b)=(k/b)(b)---multiple b to both sides to isolate k
k=ab
Answer:
k is the constant of variation.
Step-by-step explanation:
In direct variation:
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
In inverse variation:
[tex]y\propto \frac{1}{x}[/tex]
[tex]y=\frac{k}{x}[/tex]
[tex]yx=k[/tex]
In both cases k is the constant of variation
The given equation is
[tex]a=\frac{k}{b}[/tex]
We need to find the value of k in this equation.
First we have to isolate k on one side of the equation.
Multiply both sides by b to isolate k on right side.
[tex]a\times b=\frac{k}{b}\times b[/tex]
Cancel out the common factors.
[tex]ab=k[/tex]
Interchange the sides of the equation.
[tex]k=ab[/tex]
It means a and b are inversely proportional.
Therefore, the k is the constant of variation.
Plz help me with this
Answer: A) 13
Step-by-step explanation:
Mean - 1 SD: 20.2 - 2.4 = 17.8 --> (18)
Mean + 1 SD: 20.2 + 2.4 = 22.6 --> (23)
Now, find the values on the histogram for 18 through 23:
2 + 3 + 4 + 3 + 1 + 1 = 13
Select the simplification that accurately explains the following statement.
I NEED HEELP THIS IS A PLATOWEB QUESTION
Answer:
Choice C is correct
Step-by-step explanation:
We use the law of exponents in this problem;
[tex](a^{b})^{2}=a^{b}*a^{b}[/tex]
Therefore,
[tex](9^{\frac{1}{2} })^{2}=9^{\frac{1}{2} }*9^{\frac{1}{2} }[/tex]
Since the base is the same, that is 9, we simply add the exponents 1/2;
[tex]9^{\frac{1}{2}+\frac{1}{2} }[/tex]
one-half plus one-half is equal to unity and any number raised to one is simply equal to the given number;
[tex]9^{1}=9[/tex]
Need help ASAP!!!!!!!
D
Step-by-step explanation:
2/6 is litterally right there cause it has seven lines and tge 0 doesnt count
By how much does the median of the data set 12, 9, 9, 11, 14, 28 change if the outlier is removed?
Hi there! Here's the answer and how I got that answer!!
Answer:
11
The change in the Median would be 11 instead of 11.5 because the total amount of numbers became odd when the outlier is removed. This allowed for the step of having to solve for two middle numbers to be avoided and therefore only leave you with the answer simple as 11 instead of having to solve between two numbers!
Step-by-step explanation:
With all the numbers (including the outlier) the median would be 11.5.
Here's how:
First sort least to greatest and cancel out the numbers until you get to the one on the middle.
9, 9, 11, 12, 14, 28
If you have two middle numbers add them together and then divide by two.
11+12=23
23/2= 11.5
So your median with the outlier is 11.5.
Now if you take out the outlier, which in this case I'm assuming its 28. Let's re-look for the median once more!
First sort least to greatest and cancel out the numbers until you get to the one on the middle.
9, 9, 11, 12, 14
Now because there is an odd amount of numbers your left to only one middle number, 11.
This means if the outlier is removed the median would change to be 11.
I hope this helps, have a stupendous day!! ☆*:.。.o(≧▽≦)o.。.:*☆
Find the value of x in the triangle shown
Answer:
the answer is A the square root of 80.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The denominator of the seventh term is
125
216
343
512
343 will be your answer
Answer: Thus, Third option is correct.
Step-by-step explanation:
Since we have given that
[tex]1,\dfrac{1}{8},\dfrac{1}{27},\dfrac{1}{64},...............\dfrac{1}{n^3}[/tex]
So, we can see the pattern:
General term of the series is given as
[tex]\dfrac{1}{n^3}[/tex]
So, we just put the value of n = 7, to get the required denominator:
[tex]\dfrac{1}{7^3}=\dfrac{1}{343}[/tex]
Hence, the denominator of the seventh term is 343.
Thus, Third option is correct.
67,124 x = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
The product could be either less than or greater than 67,124.
If you multiplied by a negative number, you would get a negative number, which is less than a positive number such as 67,124.
If you multiplied by zero, you would get zero, which is less than a positive number such as 67,124.
If you multiplied by one, you would get 67,124, which is equal to 67,124 since they are the same number.
If you multiplied by a positive number less than one, you would get a positive number greater than zero and less than 67,124.
If you multiplied by a positive number greater than one, you would get a positive number greater than 67,124.
What is the measure of ∠JSM?
A) 12°
B) 17°
C) 23°
D) 31°
I think it would be “B”
Answer:
Option B.
Step-by-step explanation:
Given information: [tex]m\angle A=48^{\circ},\angle E=90^{\circ},\angle EMS=59^{\circ}[/tex].
According to the angle sum property of a triangles, the sum of interior angles of a triangle is 180°.
Apply angle sum property on triangle AEJ.
[tex]\angle A+\angle E+\angle J=180^{\circ}[/tex]
[tex]48^{\circ}+90^{\circ}+\angle J=180^{\circ}[/tex]
[tex]138^{\circ}+\angle J=180^{\circ}[/tex]
Subtract 138 from both sides.
[tex]\angle J=180^{\circ}-138^{\circ}[/tex]
[tex]\angle J=42^{\circ}[/tex]
The measure of angle J is 42°.
According to exterior angle property, the sum of two interior angles of a triangle is equal to the third exterior angle.
Apply exterior angle property on triangle JMS.
[tex]\angle EJA+\angle JSM=\angle EMS[/tex]
[tex]42^{\circ}+\angle JSM=59^{\circ}[/tex]
Subtract 42 from both sides.
[tex]\angle JSM=59^{\circ}-42^{\circ}[/tex]
[tex]\angle JSM=17^{\circ}[/tex]
The measure of ∠JSM is 17°.
Therefore, the correct option is B.
What is the measure of the missing angle?
A. 40
B. 75
C. 35
D. 115
Answer:
D) 115
the inside angles of a triangle always (ALWAYS) add up to 180, add 75 and 40. You get 65. Then you know that a straight line means it is 180 degrees so you subtract 65 from 180. you get 115 degrees
Missing angle is 115
there are four colors red white black and blue on a spinner and there is a coin . what is the probability of spinning a red and heads?
Answer: 1/8
Step-by-step explanation: There is 1/4 of a chance of spinning a red, and 1/2 of a chance of getting a heads. Multiply these numbers.
1/4 x 1/2 = 1/8
There is a 1/8 chance of this outcome.
a refund of $3.15 on a $8.64 bill
8.64 - 3.15 = $5.49 if this is what you are asking
Answer:
Step-by-step explanation:
3.15-8.64 is5.49 hope this helps
Six men completed a task in 24 hrs and 48 min. How long, in hours and minutes, would it take four men to complete the same task?
Answer:
It would take 4 men 37 hrs and 12 mins to complete the same task.
step-by-step explanation:
Let X be the time the four men would use to complete the task.
From the question, 6 men completed a task in 24 hrs and 48 mins
But
[tex]24 \: hrs \: 48 \: mins = 24(60mins) + 48 \: mins=1488 \: mins[/tex]
Using ratio and proportion
[tex]6 \: men:1488 \: mins[/tex]
[tex]4 men:x\:mins[/tex]
if more, less divides and if less, more divides.
4 men required more time to complete the task
Hence:
[tex]x = \frac{6}{4} \times 1488 \: mins[/tex]
[tex]x = 2232 \: mins[/tex]
x = 37 hrs 12 mins
If a normal distribution has a mean of 44 and a standard deviation of 8, what is the zscore for a value of 50
Answer:
0.75
Step-by-step explanation:
Z-score tells the no. of standard deviations a data point is from the mean.
the formula for z score is given by
z-score= (data value - mean) / standard deviation
Given:
mean=44
standard deviation= 8
data point=50
putting the values of mean(44), standard deviation(8) and given data value(50) in the above equation
z-score= (50-44)/8
= 6/8
=0.75 !
Please help with this probability question and if you could explain how to get the answer in order for me to understand!
Thank you
Answer:
Expected value = $8.89
Step-by-step explanation:
cost of playing game = $1
winning if sum is odd = $10
winning if sum is 4 or 8 = $5
winning if sum is 2 or 12 = $50
two dice rolled, possible outcomes =
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
total no. of outcomes = 36
now according to the table of outcome with respect to winning money, we can calculate expected value by multiplying the probability of each roll with winning amount associated with each roll. and subtract the amount that we paid for the game that is $1.
E(x) = 1/36*($50) + 1/18*($10) + 1/12*($5) + 1/9*($10) + 5/36*($0) + 1/6*($10) + 5/36*($5) + 1/9*($10) + 1/12*($0) + 1/18*($10) + 1/36*($50)
= 25/18 + 5/9 + 5/12 + 10/9 + 0 + 5/3 + 25/36 + 10/9 + 0 + 5/9 + 25/18
Expected value = $8.89
Subtract the amount that was paid to play the game that is $1.
$8.89 - $1 = $7.89
A profit of $7.89 is expected every-time the game is played.
How many 1/3 -cup servings are in 4 cups
There is 12 1/3-cups in 4 cups
To determine how many 1/3-cup servings are in 4 cups, you divide 4 cups by 1/3 cup per serving, resulting in 12 servings of 1/3 cup each.
Explanation:The question asks how many 1/3-cup servings are in 4 cups. To find the answer, we divide the total number of cups by the size of each serving. Here, we have 4 cups total, and we want to know how many 1/3 cup servings that equates to.
To calculate:
4 cups ÷ (1/3 cup/serving) = 4 ÷ (1/3) = 4 × 3 = 12 servings.
Therefore, there are 12 servings of 1/3 cup in 4 cups.
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Write the equations of the line contains E and F in:
A) slope-intercept form
B) standard form
C) point-slope form
Answer:
A) y=4x-12
B) y-4x=-12
C) y+4=4(x-2)
Step-by-step explanation:
Sorry it took you so long to be answered, but I hope this helps! :D
Answer with explanation:
Coordinate of Point E and F are = (4,4) and (2,-4).
Two Point form of line, that is equation of line Passing through two points is given by:
[tex]\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}_x_{1}}\\\\\rightarrow \frac{y-4}{x-4} =\frac{4+4}{4-2}\\\\\rightarrow \frac{y-4}{x-4} =4\\\\ \rightarrow y-4=4 x-16\\\\\rightarrow 4 x-y -16+4=0\\\\\rightarrow 4 x -y-12=0[/tex]
Standard Form : 4 x-y-12=0
Slope-intercept form
[tex]\rightarrow 4 x-y-12=0\\\\\rightarrow 4 x- y=12\\\\\rightarrow \frac{4 x-y}{12}=1\\\\\rightarrow \frac{4x}{12}-\frac{y}{12}=1\\\\\rightarrow \frac{x}{3} +\frac{y}{-12}=1[/tex]
Point-slope form
[tex]\rightarrow \frac{y-4}{x-4} =\frac{4+4}{4-2}\\\\\rightarrow \frac{y-4}{x-4} =4[/tex]
What are the solutions of the equation 3x^2+8x=12
x= -4/3 + 2/3 square root of 13 or x= -4/3 + -2/3 square root of 13 !!
Answer:
Step-by-step explanation:
3x² + 8x = 12
3x² + 8x - 12 = 0
a=3, b=8, and c=-12. Solving with quadratic formula:
x = [ -b ± √(b² - 4ac) ] / 2a
x = [ -8 ± √(8² - 4(3)(-12)) ] / 2(3)
x = (-8 ± √208) / 6
x = (-8 ± 4√13) / 6
x = -4/3 ± 2/3 √13
please help with this inequality 4+6x<4x-18
Answer:
x < - 11
Step-by-step explanation:
Given
4 + 6x < 4x - 18 ( subtract 4x from both sides )
4 + 2x = - 18 ( subtract 4 from both sides )
2x < - 22 ( divide both sides by 2 )
x < - 11