Answer:
1073333/5000000
Step-by-step explanation:
Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.
find the area of the polygonb
Answer:
A=b×h
A=3x5
A=15
ggggggggggg
Solve the inequality. Graph the solution.
n-72-3
The solution to the inequality is
4
-3
-2
-1
0
1
2
1
5
3
4
6
7
8
9
10
11
12
Answer:
n-75
Step-by-step explanation:
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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Which situation can be represented by the expression -75+75?
In this exercise, do not attempt formal mathematical derivations, which would actually involve some subtle issues when we go beyond discrete random variables. Rather, use your understanding of the concepts involved. For each one of the statements below, indicate whether it is true or false.
(a) The law of iterated expectations tells us that E [E[X|Y]] = E[X]. Suppose that we want apply this law in a conditional universe, given another random variable Z, in order to evaluate E [X2]. Then: EE[X|Y, 2]|2] = E[X2] y E[E[X|Y]|2] =E[X2] V EE[X|Y,Z]] =E[X2]
(b) Determine whether each of the following statements about the quantity E[g(X,Y)|Y,Z) is true or false. The quantity E[9(X,Y)|Y, 2) is: • a random variable y a number y a function of (X,Y) y a function of (Y,Z) | a function of Z only
Solution :
From the given equation :
E[ E (X|Y) ] = E (X)
a). Then,
E[ E [ X|Y,Z] | Z] = E [ X|Z ]
---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ]
---- False
E [E [X | Y,Z ]] = E [X|Y ]
---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
A random variable ----- TrueA number ----- FalseA function of (X,Y) ----- FalseA function of (Y,Z) ----- TrueA function of Z only ------- FalseThe low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
From the given equation the law of iterated expectations
\(E[ E (X|Y) ] = E (X)\)
Therefore We have to find a)
What is the definition of iteration?Iteration is the repetition of a process in order to generate a sequence of outcomes.
So by using the low of iteration we can say that,
E[ E [ X|Y,Z] | Z] = E [ X|Z ] ---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ] ---- False
E [E [X | Y,Z ]] = E [X|Y ] ---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
For a random variable y this is ----- True
For a number ----- False
For a function of (X,Y) ----- False
For a function of (Y,Z) ----- True
For function of Z only ------- False
Therefore,The low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
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Which expression is equivalent to 2x4y3
Hurry please
Which line has a y-intercept of 2 and an x-intercept of -3?
W.
X.
Y.
Z.
Answer:
The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept
Step-by-step explanation:
Here is the one that you need
What is the expected price of a calculator in the year 2000 if it costs $13 in 2015
Answer:
$10.90
Step-by-step explanation:
I don't know why but it wants me to talk when I dont need to
I NEED ANSWER ASAP !!! goran is saving money to buy a game . So far he has saved $22 , which is one-half of the total cost of the game . How much does the game cost?
Given
$22 is HALF of the price of the game.
Let the price of the game be "x", so we can say:
22 is half of x.
We can translate into an algebraic equation.
Remember,
is will be =
of will be x
Now, translating:
\(22=\frac{1}{2}\times x\)Now, we can solve for x:
\(\begin{gathered} 22=\frac{1}{2}\times x \\ x=\frac{22}{\frac{1}{2}} \\ x=22\cdot\frac{2}{1} \\ x=44 \end{gathered}\)THe game costs $44
Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
The transformations of f(x) when compared to the parent function is the graph of \(f(x)=x^2+5\) is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is \(f(x)=x^2\)
Given that \(f(x)=x^2+5\)
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
\(f(x)=x^2 ------ > f(x) =x^2+5\)
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
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2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the blag, what is the
probability that the first marble will be green and the second will be red?
Answer:
number of green ÷ total number of marbles
times by
number of red ÷ total number of marbles left
so
(3/9) × (2/8) = (1/12)
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
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Two cars started moving in opposite
directions from the same point at the same moment
of time. If the speed of one car is 50 mph, and the
other car goes at a speed of 60 mph, how soon the
distance between them will become 1320 miles?
Answer:
12 hours
Step-by-step explanation:
You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a six the first time and a spade the second time
Answer:
1/4(1/4)=1/16, or 6.25% chance.
Step-by-step explanation:
There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.
I hope this helps!
PLEASE HELP!!!
Does the graph or table have a bigger value
The table shows 45x76 and the graph shows a dot on 3425
A:Table
B:Graph
Answer:
B
Step-by-step explanation
B because 45 x 76 =3420
Answer:
B
Step-by-step explanation:
Because I need points
Complete the multiplication problem to find the answer
25.2
x 3.4
———
1008
7560
———
A. 86.58
B. 85.68
C. 8568
D. 856.8
Answer:
b
Step-by-step explanation:
bc when you add the last 2 numbers (on the bottom) you get 8568 but then u have to add find the decimal places which would be 2 so it is b, 85.68
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answer:
1023/4
Step-by-step explanation:
shown in the picture
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of great oaks trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of salamander trail is 3.5 cm on that map. Which is the longer trail, great oaks trail or salamander trail?
Answer:
Salamander trail is longer than great oaks trail.
Step-by-step explanation:
We have the data from two different maps of the same park.
In the first map the length of great oaks trail is 4.5 cm
The scale from the park to the map is 36 mi to 6 cm ⇒
We can find the real length of great oaks trail writing the following equivalence :
\(\frac{36mi}{6cm}=\frac{x}{4.5cm}\)
Where x is the real length of great oaks trail ⇒
\(x=\frac{(36mi).(4.5cm)}{6cm}=27mi\)
We find that the real length of great oaks trail is 27 mi
In the second map the length of salamander trail is 3.5 cm
The scale from the park in the second map is 24 mi to 3 cm.
Again we can find the real length of salamander trail writing the equivalence :
\(\frac{24mi}{3cm}=\frac{y}{3.5cm}\)
Where y is the real length of salamander trail ⇒
\(y=\frac{(24mi).(3.5cm)}{3cm}=28mi\)
We find that the real length of salamander trail is 28 mi.
Therefore salamander trail is longer than great oaks trail.
10. A spinner and a number cube are used to play a game. The sides of the
cube are numbered 1 through 6. A player's score is the sum of the
numbers on which the spinner lands and the number rolled on the cube.
Find the probability of getting a sum greater than 25.
a.1/2
b. 13/24
C.7/12
d. 1/24
Result:
The probability of getting a sum greater than 25 = 1/9.
The answer is not among the given options.
How do we find the probability?To find the probability, we would need to consider the possible combinations of the spinner and number cube that result in a sum greater than 25.
First, note that the highest possible sum we can get is 12 (that is 6 from the spinner and 6 from the number cube). Therefore, we can remove all combinations that result in a sum of 24 or less.
Next, we can consider the combinations that result in a sum of 25 like this:
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 4
Finally, we can consider the combinations that result in a sum greater than 25:
Spinner lands on 5, number cube lands on 5
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 6
Here, 4 possible combinations can result in a sum greater than 25 from a total of 6 x 6 = 36 possible outcomes.
So, the probability of getting a sum greater than 25 is 4/36 = 1/9.
Therefore, none of the given answer choices matches this result.
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Nora has nectarines and limes in a ratio of 10:67. How many limes does she have if she has 50 nectarines?
Answer: She would 335 limes
Step-by-step explanation:
50 divided by 10 is 5
67 times 5 is 335
So there most likely would be 335 limes if there is 50 nectarines
help plsss
rotate tuv 90 degrees clockwise around the origin
Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)
Step-by-step explanation:
The graph of the equation x + 3y = 6 intersects the y-axis at what the point?
Answer:
It intersects the y-axis at point (0, 2).
Step-by-step explanation:
x + 3y = 6
3y = -x + 6
y = -1/3x + 2
Answer:
4. (6,0)
Step-by-step explanation:
Plug the points into the equation.
6+3(0)=6
6+0=6
6=6
357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
A trapezoid has an area given by A =1-2(b1-b2)h,where b1,is the length of one base, b2 is the length of the other
base, and h is the height. If the trapezoid has an area of 14 square units, solve for b in terms of the other variables.
The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 43/4h if the area of trapezoid is 14 square units.
Given that area is equal to 1-2(\(b_{1} -b_{2}\))h and area is 14 square units.
We know that area of trapezoid is equal to (a+b)h/2.
We have to put the given equation equal to 14 to get our first equation.
14=1-2(\(b_{1} -b_{2}\))h
14=1-2\(b_{1}\)h+2\(b_{2}\)h
2\(b_{1}\)h-2\(b_{2}\)h=-13------------1
Now put the value of area in the formula of area of trapezoid.
14=\((b_{1} +b_{2})h/2\)
\(b_{1}\)h+\(b_{2}h\)=28-----------------2
Multiply equation 2 by 2 and then subtract 2 from 1
\(2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h\)=-13-56
-4\(b_{2}h\)=-43
\(b_{2}\)=43/4h
Put the value of \(b_{2}\) in 2 to get the value of \(b_{1}\).
\(b_{1} h+43/4h*h=28\)
\(b_{1}\)=69/4h
Hence The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 51/4h if the area of trapezoid is 14 square units.
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is y=x-3 a function or an equation
The coldest temperature on record in town A is -3.33
The coldest temperature on record in town B is -3 2/5
Which town has the colder temperature
Answer:
Town B
Step-by-step explanation:
-3 2/5 is equal to -3.4 and -3.4 is smaller than -3.33 therefore it is colder
What is the value of 3(4x − 8) − 6y if x = −2 and y = 6?
−132
−84
12
18
Answer:
-84
Step-by-step explanation:
Substitute the values of x and y in the expression and then simplify. To simply use PEDMAS.
3(4x - 8) - 6y = 3(4*[-2] - 8) - 6*6
First we have to do the multiplication inside the parenthesis. So Multiply 4 and (-2).
= 3 * ( - 8 - 8) - 6*6
= 3* (-16) - 6*6
= -48 - 36
= -84
Answer:
84
Step-by-step explanation:
3(4x-8)-6y
solution
=3(4×-2-8)-6×6
=3(-8-8)-36
=3×-16-36
=-48-36
=-84