Work Shown:
x = 0.212121...
100x = 21.212121....
Subtract the equations straight down. This means we subtract the left hand sides together, and the right hand sides are handled separately.
Left hand sides: 100x-x becomes 99xRight hand sides: 21.212121.... - 0.212121... becomes 21After those sets of subtractions, we are left with 99x = 21.
This solves to x = 21/99 when dividing both sides by 99 to isolate x.
Therefore, 21/99 = 0.212121...
can someone please help me?
Answer:
3 19/24
Step-by-step explanation:
1/8×3=3/24
2/3×8=16/24
1 3/24+2 16/24=3 19/24
the amount of food prepared for a catered event depends on the number of people attending. which variable is the explanatory variable? [1 point]
The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.
One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.
In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.
Therefore, the required answer is the number of people attending.
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now from the top make it drop thats some ____ ___ ____
Answer:
danggg thats a WAPPPP
Step-by-step explanation:
PLEASE HELP 30 POINT AND BRAINLIEST
Answer:
first is 2 second is 3
Step-by-step explanation:
HELP ME please i am have a bit trouble
Answer:
with what do you need help on
HELP I NEED HELP ASAP
Britton Hill, Florida is located at an elevation above sea level.
What is a possible elevation of
Britton Hill, Florida?
Answer:
345 feet
Step-by-step explanation:
If you don't know about Britton Hill, Florida, you're probably not a mountain climber, and you're definitely not a highpointer. At 345 feet above mean sea level, Britton Hill is Florida's highest natural point and the lowest "high point" in the United States.
Find the Volume. 4 2/3 2cm 9 1/8
Answer:
\(85 cm^{3}\)
Step-by-step explanation:
The formula to find the volume of a rectangular prism such as this is :
V = length * width * depth
To solve for this problem, we just plug in the values and multiply it all out.
\(9\frac{1}{8} *2*4\frac{2}{3}\) = \(85\frac{1}{6}\)
Therefore, the volume of this prism is 85\(cm^{3}\).
Have a nice day and mark brainliest if possible - it always helps ;)
Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation
Answer:
reflection
Step-by-step explanation:
this is a reflection off y=-x
What is the equation of the graph below?
Let U and V be i.i.d. N(0,1), and let X=1+2U+3V, Y=4+5 V. (a) Find the pdf for X. (b) Find the pdf for Y. (c) Find the normalized correlation coefficient rho for X and Y. (d) Find the constants a and b that minimize the mean-squared error between the linear predictor
Y
^
=aX+b and Y. (e) Find the conditional mean E(Y∣X=1). (f) Find the conditional variance of Y given that X=1; i.e., find var(Y∣X=1). (g) Find a constant c so that (Y−cX) is independent of X.
(a) Find the pdf for X:As we know that U and V are independent and normally distributed with N(0,1).
X = 1 + 2U + 3V has normal distribution withE(X) = 1 + 2E(U) + 3E(V) = 1andVar(X) = 22 Var(U) + 32 Var(V) = 13
Hence, X ∼ N(1, 13).
(b) Find the pdf for Y:
Y = 4 + 5V has normal distribution withE(Y) = 4 + 5E(V) = 4andVar(Y) = 52 Var(V) = 25
Hence, Y ∼ N(4, 25).
(c) Find the normalized correlation coefficient ρ for X and Y:
Since X and Y are both normal distributions,ρ = E(XY) − E(X)E(Y) / (Var(X) Var(Y))
To calculate E(XY) = E[(1 + 2U + 3V)(4 + 5V)]= E[4 + 5(2U) + 5(3V) + 2(4V) + 2(3UV)]= 4 + 10E(U) + 17E(V) = 4
E(X)E(Y) = (1)(4) = 4
Var(X) = 13and Var(Y) = 25
Therefore,ρ = 0.1019
(d) Find the constants a and b that minimize the mean-squared error between the linear predictor Y ^ = aX + b and Y.
The mean-squared error between Y ^ and Y can be written as
MSE = E[(Y − Y ^)2] = E[(Y − aX − b)2] = E[(Y2 − 2aXY + a2X2 + 2bY − 2abX + b2)]= E(Y2) − 2aE(XY) + a2E(X2) + 2bE(Y) − 2abE(X) + b2
We need to minimize the mean-squared error by setting the partial derivative with respect to a and b to zero, therefore:
∂MSE / ∂a = −2E(XY) + 2aE(X2) − 2bE(X) = 0∂MSE / ∂b = 2b − 2E(Y) + 2aE(X) = 0
Solving these two equations for a and b we get a = 23 and b = 53
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solve the inequality -2z-3<5. what is the value of z?
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
Help me out with this geometry problem ! Will give brainliest, no links ! GIVING BRAINLIEST!!!!
Answer:
y = 8
Step-by-step explanation:
adjacent/hypotenuse = cos(x)
4\(\sqrt{3}\) / y = cos(30)
y = 4\(\sqrt{3}\) /cos(30)
y = 8
Answer:
y r8
Step-by-step explanation:
We know that sin(60°) = root 3/2 and sin(60°) = perpendicular/hypotenuse
so
root 3/2 = perpendicular/hypotenuse
root 3/2 = 4×root 3 / y
y = 8
A chef uses a warming oven to maintain the temperature of food until all items are ready for plating. Potato croquettes, whose temperature is 200 C, are placed in the warming oven. The relationship between the core temperature of the potato in degrees Celsius, and the cooking time, t in minutes, is modelled by the equation 200 – T=180(0.94)t. If the chef needs to plate the entrée before the potato croquettes have a core temperature of 1400 C, how much time does he have?
Given
\(200-T=180(0.94)^t\)Solution
When T=140
\(\begin{gathered} 200-T=180(0.94)^{t} \\ \\ 200-140=180(0.94)^t \\ 60=180(0.94)^t \\ \\ 60=180\cdot\:0.94^t \\ Divide\text{ both side 180} \\ \frac{180\cdot \:0.94^t}{180}=\frac{60}{180} \\ \\ simplify \\ 0.94^t=\frac{1}{3} \end{gathered}\)Apply exponent rule
\(\begin{gathered} t\ln \left(0.94\right)=\ln \left(\frac{1}{3}\right) \\ \\ t=-\frac{\ln \left(3\right)}{\ln \left(0.94\right)} \\ \\ \\ t=17.7552 \end{gathered}\)The final answer
t =1 7.7552years
How do you solve this?
Step by step would be best!
Solve for m
(m-2)/6= ½
Answer:
m = 5
Step-by-step explanation:
Given
\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )
m - 2 = 3 ( add 2 to both sides )
m = 5
Let fR-R;f(x)=x2. Evaluate the two sets f((-1,1)) and f(0,1)). O f((-1,0)=[0,1); f(0,1)=(-1,1) O f(-1,1))=0,1); f'((0,1])=(-1,0) U (0,1) O f((-1,1))=[0,1), f(0,1)=(0,1) O f((-1,1))=[0.1); F'((0,1])=(-1,0) U (0,1) O f((-1,1))=[0,1); f'((0,1)=(-1,0) U (0,1] O f((-1,1))=(0,1); f(0,1])=(0,1) Of((-1,1))=[0,1]: f-'((0,1)=(-1,1)
There are:
f((-1,1)) = [0,1)
f(0,1)) = (0,1)
f-'([0,1)) = (-1,1)
f-'((0,1)) = (-1,0) U (0,1)
How did we evaluate at these values?To evaluate the sets f((-1,1)) and f(0,1)), we first need to apply the function f(x) = x^2 to the given intervals:
f((-1,1)): This set includes all the values of x^2 for x in the interval (-1,1). Since the function is non-negative for all values of x, we can write f((-1,1)) = [0,1).
f(0,1)): This set includes all the values of x^2 for x in the interval (0,1). Since the function is strictly increasing for x > 0, we can write f(0,1)) = (0,1).
Next, we need to evaluate the inverse images of these sets under the function f(x) = x^2:
f-'([0,1)): This set includes all the values of x in the domain of f(x) such that f(x) is in the interval [0,1). Since the function is non-negative for all values of x, we can write f-'([0,1)) = (-1,1).
f-'((0,1)): This set includes all the values of x in the domain of f(x) such that f(x) is in the interval (0,1). Since the function is strictly increasing for x > 0, we can write f-'((0,1)) = (-1,0) U (0,1).
Therefore, we have:
f((-1,1)) = [0,1)
f(0,1)) = (0,1)
f-'([0,1)) = (-1,1)
f-'((0,1)) = (-1,0) U (0,1)
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(35) MOVIE RENTALS The number of copies of a movie rented at a video kiosk decreased at a constant rate of 5 copies per week. The 6th week after the movie was released 4 copies were rented. How many copies were rented during the second week?
Answer:
25 copies rented
Step-by-step explanation:
r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start
we know on the 6 weeks passed and 4 copies were rented
4 = r1 - 5(6)
4 = r1 - 30; add 30 on both sides
34 = r1
r = 34 - 5t now plug t = 2 in for this function
r = 34 - 5(2)
r = 35 - 10
r = 25 copies rented
A boat traveled downstream a distance of 54 mi and then came back right back. If the speed of the current was 12 mph and the total trip took 6 hours, find the average speed of the boat relative to the water.
Answer:
18 mph.-
Step-by-step explanation:
This is 2*54 / 6
= 18 m p h.
34.9 was rounded to 1 decimal place. What is the upper bound?
=======================================================
Explanation:
The upper boundary, or upper bound, is a fence of sorts.
Note how the following values all round to 34.9, when rounding to one decimal place
34.9434.94534.94934.949934.9499934.94999934.949999934.94999999We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9
All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0
Which scale factors result in a expansion? -3, 0.25,9/7,-3/4
The scale factors of 9/7 and 0.25 would result in an expansion.
What is scale factor?Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.
Expansion occurs when the scale factor is greater than zero. In this case, the scale factors of 9/7 and 0.25 would result in an expansion. The scale factors of -3 and -3/4 would result in a contraction.
When an object is scaled, the size of the object changes in one or more directions. If the scale factor is greater than one, the object will expand. Conversely, if the scale factor is less than one, the object will contract. The scale factor can either be multiplied by the length of the object or by the area of the object to determine the change in size. For example, if the scale factor is two, the length of the object would double and the area of the object would quadruple.
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the drama club is printing t-shirts for the members. the printing company charges a certain amount for each shirt plus a setup fee of 40$ there is 21 students in the drama club.
a. if there are 21 students in the club and the t-shirt order costs a total of $187, how much money dose each t-shirt cost? show your reasoning
Considering the definition of an equation and the way to solve it, if there are 21 students in the club and the T-shirt order costs a total of $187, each T-shirt cost $7.
Definition of equationAn equation in mathematics is defined as an equality established between two expressions in which known elements and unknowns or unknown values appear.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the cost of each T-shirt, and knowing that:
The printing company charges a certain amount for each shirt plus a setup fee of 40$ There is 21 students in the drama club.The t-shirt order costs a total of $187.the equation in this case is:
21x + 40= 187
Solving:
21x= 187 - 40
21x= 147
x= 147 ÷ 21
x=7
Finally, each T-shirt has a cost of $7.
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If The printing company charges a certain amount for each shirt plus a setup fee of 40$. 21 students in the club and the t-shirt order costs a total of $187,Then each t shirt cost 7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that, The printing company charges a certain amount for each shirt plus a setup fee of 40$. 21 students in the club and the t-shirt order costs a total of $187,
We need to find how much money dose each t-shirt cost.
Let x be the money for each t shirt.
By given data let us form a equation.
21x + 40= 187
Subtract 40 from both sides
21x=187-40
21x=147
Divide both sides by 21
x=7
Hence the cost each t shirt is 7.
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Circle P has radius 6, and circle O has circumference 36π. What is the scale factor of the dilation that transforms circle P into circle O?
Answer:
thanks
Step-by-step explanation:
I don't understand this problem. will look at and edit my answer if get it.
An employee put $10.000 in a retirement
account that offers 4%, interest
Compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
Answer:
Interest earned after 12 years is $48,000.
Step-by-step explanation:
The first step is to find 4% of 10,000
10,000 times .4 equals to 4,000
4% of 10,000 is 4,000
So each year, $4,000 is added
Times $4,000 by 12 years and you will have the total interest earned.
In case you need to know, the total amount of the bank account should be $58,000.
I hope this helps! :)
Any Help Will Be Appreciated!
Answer:
-148
Step-by-step explanation:
Hello!
We can evaluate by plugging in -3 for x, and -7 for y in the expression \(3x^3 - 2x^2 + 7y\)
Evaluate\(3x^3 - 2x^2 + 7y \text{ for x=-3, and y=-7}\)\(3(-3)^3 - 2(-3)^2 + 7(-7)\)\(3(-27) - 2(9) - 49\)\(-81 - 18 - 49\)\(-148\)The evaluated value is -148.
Answer:
-148
Step-by-step explanation:
what is equivalent to 4 - z - z - z - z
Answer: 4-4z
Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.
I need help with this
The angles are x is 35° and y is 17° when the angles on protractor ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.
Given that,
The angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.
We have to find the angles.
An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the point at which two points converge. The name "angle" comes from the Latin word "angulus," which meaning "corner."
The ∠QUS = ∠QUR + ∠RUS
57°=x+22°
x=57°-22°
x=35°
Now, ∠QUT = ∠QUR + ∠RUS + ∠SUT
74°=35°+22°+y
y=74-35-22
y=17°
Therefore, The angles are x is 35° and y is 17° when the angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.
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A normal score is the expected z-score of a data value, assuming the distribution of the random variable is normal. Is this statement true or false?.
The given statement about normal score that it is expected z score of a data value is true.
Given A statement that a normal z score is the expected z score of a data value, assuming the distribution of the random variable is normal.
We have to tell whether the given statement is true or false.
In z test the z score or standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is observed or measured.
A normal distribution is arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
A random variable is a variable which is identified without following any criteria.
A Z test is any statistical test for which the distribution of the test statistic under the null hypothesis ca be approximated by a normal distribution.
Hence the given statement about normal score is absolutely true.
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What are the coordinates of the center and the length of the radius of the circle
whose equation is-y-12y-20 25-07
a) center (0.5) and radius 7.5
c) center (0-6) and radius 75
b) center (0.12) and radius 45
d) center (-12) and radius 4,5
The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;
Center (0, 6) and radius 7.5
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius
The possible equation obtained from a similar question on the internet can be presented as follows;
x² + y² - 12·y - 20.25 = 0
The above equation can be evaluated using the completing the square method and excluding the x² term as follows;
y² - 12·y - 20.25 = 0
y² - 12·y = 20.25
y² - 12·y + (-12/2)² = 20.25 + (-12/2)²
y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25
(y - 6)² = 56.25
Therefore;
y - 6 = √(56.25) = ±7.5
The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²
The center of the circle is therefore;
(h, k) = (0, 6)
The radius of the circle, r = 7.5
The possible correction is therefore, option (a), where the 5 is a typing error
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How will the points of a figure move when the translation vector ⟨5, −6⟩is applied?
Answer:
Step-by-step explanation:
Wee
a batter hits the ball and runs toward first base at a speed of 28 ft/s. at what rate (in ft/s) does the distance between the runner and second base change when the runner has run 20 ft? (round your answer to two decimal places.)
The rate at which the distance between the runner and second base changes is 28.71 ft/s.
Given, a batter hits the ball and runs toward first base at a speed of 28 ft/s. we have to find the rate (in ft/s) at which the distance between the runner and second base change when the runner has run 20 ft.
As, distance = speed × time
d = st
On differentiating both the sides
d' = s't + s
d' = 20/28 + 28
d' = 0.71 + 28
d' = 28.71
Hence, the rate at which the distance between the runner and second base changes is 28.71 ft/s.
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