Answer:
2,400,056
Step-by-step explanation:
Answer:
2,400,056
Step-by-step explanation:
2 million= 2,000,000
four hundred thousand=400,000
fifty-six=56
Jack deposits $90.00 into a new savings account. The account earns 3.5% simple interest per year. No money is added or removed from the savings account for 4 years. What is the total amount of money in his savings account at the end of the 4 years?
Answer:
$102.60
Step-by-step explanation:
We can find out because....
3.5 (The percent increase) * 4 (4 years) = 12.6
90 + 12.6 = $102.60.
Answer:
$102.60
Step-by-step explanation:
3.5% interest of $90.00 is $3.15 yearly
$3.15 × 4 = $12.60
$12.60 + $90.00
$102.60
pls help with mathh!!!
Answer: x<5
Step-by-step explanation:
If the circle was dark then it would be x is less than or equal to 5. But here, since the circle is open, that means that 5 is not a possible solution for x. The answer is x<5. Hope this helps!
2 Points
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f- g)(x).
O A. 5x-1
O B. 5x - 3
O C. X-3
O D. 3 - x
SUBN
Answer:
x-3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1,
(f- g)(x) = 3x - 2 - ( 2x+1)
Distribute
= 3x -2 -2x-1
Combine like terms
x-3
Write a function in terms of t that represents the situation.
A stock valued at $100 decreases in value by 9.5% each year.
Y=
Answer:
100-0.095x
Step-by-step explanation:
Help please
Number 4
Answer:
you need to enlarge the picture so I can see it
Step-by-step explanation:
Then I'll edit my answer and do the problem.
Need help with the problem What is the equation of the circle?
Explanation
To solve the question, we have to follow the steps below:
Step 1: Get the radius of the circle
To get the radius, we will compare the circumference of the circle with
\(2\pi\sqrt[]{51}\)But we know that the circumference of a circle is also obtained by
\(2\pi r\)Thus
\(\begin{gathered} 2\pi\sqrt[]{51}=2\pi r \\ r=\sqrt[]{51} \end{gathered}\)Step 2: Apply the standard equation of the circle:
\((x-a)^2+(y-b)^2=r^2\)Where
\(\begin{gathered} (a,b)\text{ are the center} \\ r=\sqrt[]{51} \end{gathered}\)Step 3: Insert the values to get the equation
\((x-11)^2+(y+1)^2=(\sqrt[]{51})^2\)Simplifying further
\(\begin{gathered} x^2-22x+121+y^2+2y+1=51 \\ x^2+y^2-22x+2y+121+1-51=0 \\ x^2+y^2-22x+2y+71=0 \end{gathered}\)Hence, the equation of the circle will be
\(x^2+y^2-22x+2y+71=0\)If f(x,y,z) = 2xyz subject to the constraint g(x, y, z) = 3x2 + 3yz + xy = 27, then find the critical point which satisfies the condition of Lagrange Multipliers."
To find the critical point that satisfies the condition of Lagrange multipliers for the function f(x, y, z) = 2xyz subject to the constraint g(x, y, z) = 3x^2 + 3yz + xy = 27, we need to solve the system of equations formed by setting the gradient of f equal to the gradient of g multiplied by the Lagrange multiplier.
We start by calculating the gradients of f and g, which are ∇f = (2yz, 2xz, 2xy) and ∇g = (6x + y, 3z + x, 3y). We then set the components of ∇f equal to the corresponding components of ∇g multiplied by the Lagrange multiplier λ, resulting in the equations 2yz = λ(6x + y), 2xz = λ(3z + x), and 2xy = λ(3y). Additionally, we have the constraint equation 3x^2 + 3yz + xy = 27. By solving this system of equations, we can find the critical points that satisfy the condition of Lagrange multipliers.
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The graph of the cubic parent equation, y=x3
, is plotted on the coordinate plane.
Select two equations that represent a shift of the graph of the parent equation to the right on the coordinate plane.
The two equations that represent a shift of the graph are y=(x-12)³ and y=(x+8)³.
What is an equation?
Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.
The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.
=> y=(x-12)³
=> y=(x+8)³
Therefore , the solution of the given problem of equation comes out to be y=(x-12)³ and y=(x+8)³.
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The concept that a message gives different meanings to different objects is called _____.
a. ​encapsulation
b. ​polymorphism
c. ​linear addressing
d. ​dynamic addressing
The concept that a message gives different meanings to different objects is called option (b) polymorphism.
Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.
This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.
Therefore, the correct option is (b) polymorphism
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Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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1.) A butterfly can fly 82 feet in four seconds and a dragonfly can fly 50 feet in two seconds. Which can fly faster and by how much? *
1 point
The dragonfly is 4.5 feet per second faster.
The butterfly is 4.5 feet per second faster.
The dragonfly is 20.5 feet per second faster.
The butterfly is 32 feet per second faster.
Answer:
The dragonfly is 20.5 feet per second faster
Step-by-step explanation:
Answer:
A. The dragonfly is 4.5 feet per second faster.Step-by-step explanation:
Speed of butterfly:
82/4 = 20.5 ft/secSpeed of dragonfly:
50/2 = 25 ft/secThe difference:
25 - 20.5 = 4.5 ft/secCorrect choice is A
What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
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An animal shelter has three kinds of Labrador Retrievers: yellow, brown, and black. They have
both male and fomae in all of the colors. What is the probability of picking a female yellow Labrador
Retriever?
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
40 PTS!!!! A single-serving juice boxes measure 10cm by 7cm and 5cm. A manufacturer wants to shrink wrap four boxes together for sale. Which of the two arrangements of the boxes with use the least amount of plastic wrap? Show your work
Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².
To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.
Arrangement 1:
In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:
Surface area of a single box = 2(lw) + 2(lh) + 2(wh)
= 2(107) + 2(105) + 2(7*5)
= 140 + 100 + 70
= 310 cm²
Since we have four boxes in this arrangement, the total surface area to be covered is:
Total surface area = 4 * 310 cm²
= 1240 cm²
Arrangement 2:
In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:
Surface area of a single box is the same as in the previous arrangement:
Surface area of a single box = 310 cm²
Since we have four boxes stacked vertically, the total surface area to be covered is:
Total surface area = 4 * 310 cm²
= 1240 cm²
Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².
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in the land of maggiesville, a random sample of 2500 people were surveyed. if it is true that 8% of people in maggiesville are knitters, what is the probability that the sample proportion will be between 5% and 10%?
The probability that the sample proportion of knitters in a random sample of 2500 people from Maggiesville will be between 5% and 10% is approximately 0.9644, or 96.44%.
what is the probability that the sample proportion will be between 5% and 10%?To find the probability that the sample proportion of knitters will be between 5% and 10%, we can use the normal approximation to the binomial distribution.
The sample proportion can be modeled as a binomial distribution with parameters n (sample size) and p (true proportion). In this case, n = 2500 and p = 0.08.
To apply the normal approximation, we need to calculate the mean (μ) and the standard deviation (σ) of the sample proportion. The mean of a binomial distribution is μ = n * p, and the standard deviation is σ = √(n * p * (1-p)).
μ = 2500 * 0.08 = 200
σ = √(2500 * 0.08 * 0.92) ≈ 10.954
Next, we need to standardize the values of 5% and 10% using the z-score formula:
z1 = (0.05 - 0.08) / 0.010954 ≈ -2.741
z2 = (0.10 - 0.08) / 0.010954 ≈ 1.827
Now, we can use the standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
P(5% ≤ sample proportion ≤ 10%) = P(-2.741 ≤ z ≤ 1.827)
By looking up the z-scores in the standard normal distribution table or using a calculator, we find:
P(-2.741 ≤ z ≤ 1.827) ≈ 0.9644
Therefore, the probability that the sample proportion of knitters will be between 5% and 10% is approximately 0.9644, or 96.44%.
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Please help! This is due today!
Answer:
Yes it will fit
Step-by-step explanation:
The area of the bedroom, since it's a square, would be 12ft * 12ft = 144ft²
The area of the circular rug would be πr² = π(40.82/2π)² = 132.6ft²
Since 144ft²>132.59ft², this means that the 132.6ft² circular rug would be able to fit into the 144ft² bedroom.
Which TWO systems of linear equations are solved correctly?
The detailed answer is in the images I have attached.
Hope it helps you...
Kindly mark as Brainlliest!!!
standard form of 0.000064
Answer:
6.4 × 10^-5
This is the standard form of 0.000064.
a student takes an exam containing 1111 true or false questions. if the student guesses, what is the probability that he will get less than 55 but more than 33 questions right? round your answer to four decimal places.
Required Probabilty = 161.1
n = 1111
Probability of getting correct P(c)= 1/2
Probability of getting wrong P(w)= 1/2
So it follows binomial distribution
P (x*r) = Ncr .(P)r . (q)n-r = P (33<X<55) = P(X-r) = 1111c4 . (1/2) power of 44 . (1/2) power of 1111-44
Required Probabilty = 161.1
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The heights of the apple trees in an orchard are normally distributed with a mean of 12.5 feet and a standard
deviation of 1.2 feet. What percentage of the apple trees are between 10.1 and 13.7 feet tall?
Answer:
18.141%
Step-by-step explanation:
We start by calculating the z-scores
Mathematically;
z-score = (x-mean)/SD
for 10.1
z = (10.1-12.5)/1.2 = -2
for 13.7
z = (13.7-12.5)/1.2 = 1.2/1.2 = 1
So we need the probability within this range
P(-2 < x < 1)
We can check the probability using the standard normal distribution table
That will be;
P(-2 < x < 1) = 0.18141
Converting this to percentage, we have 18.141%
how to find the coordinates of the center of the circle, if flag is a square with a circle inscribed withing.
The center of the circle will coincide with the center of the square, which is the origin (0, 0) in this case. Therefore, the coordinates of the center of the circle are (0, 0).
To find the coordinates of the center of the circle inscribed within a square, you need to know the coordinates of the square's vertices. Let's assume that the square has its sides parallel to the coordinate axes and centered at the origin (0, 0).
In this case, the coordinates of the square's vertices are (-s, -s), (-s, s), (s, s), and (s, -s), where s represents half of the side length of the square.
The center of the circle will coincide with the center of the square, which is the origin (0, 0) in this case. Therefore, the coordinates of the center of the circle are (0, 0).
If the square is not centered at the origin or has sides that are not parallel to the coordinate axes, the coordinates of the center of the circle can be found by averaging the coordinates of opposite vertices of the square.
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(a) 8x = 56
A box had x pencils. Then 8 more pencils were
placed in the box. The box now has 56 pencils.
A box has 8 pencils. Each pencil weighs x grams.
The 8 pencils weigh a combined total of 56
grams.
A box had x pencils. Then 8 pencils were
removed from the box. The box now has 56
pencils.
A box has 8 pencils. The pencils are aligned in 56
rows, with x pencils in each row.
None of the above
Answer:
none of the above
Step-by-step explanation:
none of the are correct
Let f(x) = 15x - 25 represent the profit function and a represent the number of T-shirts sold. Which statement is true
of f(200)?
It results in 15 and means that 15 T-shirts were sold.
B It results in 15 and means that $15 was made in profit.
It results in 2,975 and means that 2,975 T-shirts were sold.
It results in 2,975 and means that $2,975 was made in profit.
In circle R with mZQRS = 90 and QR = 11 units find area of sector QRS. Round
to the nearest hundredth.
Answer:
101
Step-by-step explanation:
A
B
C
D
19.86 m
23.78 m
16.31 m
39.42 m
The measure of the side 'x' is 16.31 m. The correct option is C.
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.
Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.
The value of x will be calculated as,
sin65° = x / 18
x = 18 x sin65°
x = 16.31 m
Hence, the correct option is C.
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Write the expanded form of 4(0.25a + b - 6).
Answer:
4(0.25a + b - 6) = 0
Step-by-step explanation:
Answer:
4 x 0.25 + a + b -6
Step-by-step explanation:
The random variable w has a geometric distribution with p=0.25. approximately how far do the values of w typically vary, on average, from the mean of the distribution?
The values of w typically vary, on average, from the mean of the distribution about 3.46.
How to illustrate the deviation?The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.
For a geometric(p = 0.25) distribution, the variance is computed here as:
Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12
Therefore, the standard deviation is computed as:
= ✓(12) = 3.46 observations.
This is the standard deviation of the given distribution here.
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Choose the model that shows 11/10-3/10
Answer:
The third model
Step-by-step explanation:
I'm pretty sure it is, I can't see all of them tho
Pl help it’s for homework
Answer:
its the 3rd one can u pls give me brainliest so i can lvl up
Step-by-step explanation: