Answer: Area of a square is a².
4² = 16
Now find the area of the semicircle.
(πr²)/2
(3.14)(2)²/2
12.56/2
6.28
Now add the areas to find the total area.
6.28 + 16 = 22.28
Hope this helps :)
Step-by-step explanation:
Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school
data hiding means that critical data stored inside the object is protected from code outside the object. this is accomplished in java by (fill in the blank).
The correct option is B is correct that is by setting access to private on the class fields using the correct notation.
Given that,
Data hiding refers to the protection of sensitive data from outside code for an object. This is achieved using Options
A) Making use of the class methods' private access specifier.
B) By setting access to private on the class fields using the correct notation.
C) Using the class methods' public access specifier.
D) Using the class definition's private access specifier.
Whichever choice is accurate must be determined.
We know that,
What is a public and private access?The private modifier limits access to a class's methods or properties from any code that is outside the class, but the public access modifier permits a code from inside or outside the class to access the class's methods and properties.
Therefore, The correct option is B is correct that is by setting access to private on the class fields using the correct notation.
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What is the surface area
Answer:
144 is the surface area
Step-by-step explanation:
Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.
Lengths of time it takes for new light bulbs to burn out are an example of which type of data?
Lengths of time it takes for new light bulbs to burn out are an example of continuous numerical data type.
Quantitative information that can be measured precisely and that can take on any value within a range is known as continuous numerical data. Measurements of length, time, weight, temperature, and many other quantifiable physical qualities are examples of continuous numerical data.
Continuous numerical data can have any value as long as it falls within a specified range, and using mathematical operations like addition, subtraction, multiplication, and division, it is possible to compare and analyze the numbers.
Since it alludes to a continuous range of precise numerical values. The duration of time in this scenario is expressed in hours, minutes, or seconds and can have any value within a specific range, for example, 0.5 hours, 1.25 hours, 2.75 hours, and so on.
Numerical data types like float and decimal can be used to represent continuous numerical data.
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With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?
50%
6%
46%
54%
Answer:C. 46%
Step-by-step explanation:there is 6 even numbers and 7 odd number 50 pecernt would be if it was 6 even and 6 odd or 7even and 7 odd.
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)
Mandie wants to put some lace trim around the edge of a round tablecloth. If the tablecloth has a
diameter of 6 feet, will 18 feet of lace be enough trim for the tablecloth?
F.Yes, because C = 3(6) and C = 18 ft.
G.No, because C = 2(3)(6) and C = 36 ft.
H.No, because C = 3.14(6) and C = 18.84 ft.
J.Yes, because C = 3.14(3) and C = 9.42 ft.
Answer:
The answer is F
Step-by-step explanation:
the mean retirement age for all employees at a major company was 67 with a standard deviation of 6 years. suppose we wanted to create a sampling distribution out of this data using a sample size of 36. report all answers below to the nearest whole number. the mean of the sampling distribution would be . the standard error (standard deviation) of the sampling distribution would be
The sample distribution would have a mean of 67
The sample distribution's standard deviation would equal its standard error = 1
μ = 67
σ = 6
n = 36
Approximately normal sampling distribution for the sample mean with mean and standard deviation = σ / √n
The sample distribution's mean would be, μ = 67
The sample distribution's standard error (standard deviation) would be = σ / √n = 6 / √36 = 1
According to the central limit theorem, if the population distribution is normal, the sampling distribution of the sample mean will be roughly normal for any sample size, or if the sample size is large enough to be n>30, the sampling distribution will be roughly normal with mean and standard deviation for any population distribution = σ / √n
Therefore, The sample distribution's mean would be = 67
and the sample distribution's standard error (standard deviation) would be = 1
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Coach Brown buys packs of Gummi Bears at $0. 60 and resales them at $1. 0. At what percent did he mark the candy up?
A. 10. 47
B. 3. 59
C. 9
D. 67
E. 69
F. 10. 25
If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .
The price for which the Coach buys Gummi Bears is = $0.60 ;
the price at which the Coach resales them is = $1 ;
So , the Markup is the difference in the price of purchase and price of resale of the candy ,
that means ; the \(Markup = \$1 - \$0.60\) ;
= $0.4
So , the Percent Markup is = \(\frac{0.4}{0.6} \times 100\)
= 66.66666...
≈ 67% .
Therefore , the percent Markup for the Candy is 67% .
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Bradley entered the following group of vaues into tvm
bro you need to add the rest of the question
Find the absolute maximum and absolute minimum values off on the given interval. f(x) = In(x2 + 5x + 10), (-3,1] absolute minimum value = _____. absolute maximum value = _____.
The absolute maximum value of f(x) on the interval [-3,1] is approximately 0.933, which occurs at x = 1.
The function f(x) = ln(x^2 + 5x + 10) is continuous on the closed and bounded interval [-3,1], therefore by the Extreme Value Theorem, it must have an absolute maximum and an absolute minimum on that interval.
To find the critical points, we need to find where the derivative of the function is zero or undefined. We have:
f(x) = ln(x^2 + 5x + 10)
f'(x) = (2x + 5)/(x^2 + 5x + 10)
The derivative is undefined when the denominator is zero, that is, when x^2 + 5x + 10 = 0. This quadratic equation has no real roots, so there are no values of x where the derivative is undefined.
The derivative is zero when the numerator is zero, that is, when 2x + 5 = 0. This gives x = -5/2.
Now we need to check the values of the function at the critical points and at the endpoints of the interval:
f(-3) ≈ -0.078
f(-5/2) ≈ -0.688
f(1) ≈ 0.933
Therefore, the absolute minimum value of f(x) on the interval [-3,1] is approximately -0.688, which occurs at x = -5/2.
The absolute maximum value of f(x) on the interval [-3,1] is approximately 0.933, which occurs at x = 1.
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Help pls ? What kind of exponent does this graph have !
Answer:
I think the answer is odd. I am not sure because I don't know this topic really well.
Step-by-step explanation:
While working at a soup kitchen, Suzie made 9 quarts of vegetable soup to serve 25 people. She gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
Each person gets .36 quarts of vegetable soup.
Step-by-step explanation:
If Suzie makes 9 quarts of vegetable soup to serve among 25 people, you must divide 25 by 9, doing so you get .36 .
Jarome is 6 feet tall and cast a shadow that is 8 feet long. If a tree is 24 feet tall, how long will it's shadow be?
27 feet
32 feet
30 feet
18 feet
Answer:
32 feet
Step-by-step explanation:
6 = 8
24 = ?
24 × 8 = 197
197 ÷ 6 = 32.
Answer:
32 feet
Step-by-step explanation:
ratio 6:8 simplified is 3:4
\(\frac{3}{4}\) x \(\frac{8}{8}\) = \(\frac{24}{32}\)
32 Feet
Find the equation of a line with each of the following characteristics. a) parallel to the line y = 3x + 5 and has a y-intercept of -1 b) perpendicular to the line y = 5x - 1 and passes through the point (10, 8) c) perpendicular to the line y = 1⁄3x + 4 and has an x-intercept of 2.
Answer:
y = 1/2x - 1
Step-by-step explanation:
When you put all three equations from the question into a graph and then input the equation i just gave you it will be perpendicular to line B & C, also it will be parallel to line A. Finally you can check yourself that it also has a y-intercept of (0,-1) & an x-intercept of (2,0). Hopefully this helps out & gets brainliest. xD
HELP MEEE PLEASEEEEEE
( π=3,14 , r= d/2= 7.6/2= 3,8m )
C= 2πr
C= 2·π·3.8
C≈23.87m
The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?
Answer:
y=8X
Explanation:
The ratio 13 to X = 13:X
The ratio 104 to y = 104:y
If they are equivalent, we have that:
\(13\colon X=104\colon y\)We write the ratios in fraction form.
\(\frac{13}{X}=\frac{104}{y}\)We then make y the subject of the equation.
\(\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}\)We can simplify further to get:
\(\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}\)This is the equation that represents y in terms of X.
Find A ∩ B if A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.
A. {3, 4, 5, 7, 9, 10, 13, 17}
B. Ø
C. {7}
Answer:
The answer is C. because 7 is in set A and set B.
Answer:
{7}
Step-by-step explanation:
A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.
A ∩ B This means intersection. What is in both of the sets for A and B
{7}
Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.)
a.
$619.68
b.
$267.50
c.
$1,609.57
d.
$1,070.00
The difference between these two amounts is $619.68
What is the monthly payment for Loan?The monthly payment for a loan can be calculated using the formula:
monthly payment = \(\frac{(P * r * (1 + r)^n) }{((1 + r)^n - 1)}\)
where P is the principal (the amount borrowed), r is the monthly interest rate, and n is the total number of months in the loan term.
For Miles' loan,
P = $5,000,
r = 0.0775/12,
and n = 4 * 12 = 48.
Plugging these values into the formula, we get:
monthly payment = \(\frac{(5000 * 0.0775/12 * (1 + 0.0775/12)^{48})}{ ((1 + 0.0775/12)^{48} - 1) }\)
= $123.37
For Nick's loan,
P = $5,000,
r = 0.1310/12,
and n = 4 * 12 = 48.
Plugging these values into the formula, we get:
monthly payment =\(\frac{ (5000 * 0.1310/12 * (1 + 0.1310/12)^{48})}{((1 + 0.1310/12)^{48} - 1) }\)
= $143.34
To find out how much more Nick will have paid than Miles over the four-year period, we can subtract Miles' total payments from Nick's total payments.
Miles will make 48 payments of $123.37, for a total of:
$123.37 * 48 = $5,920.76
Nick will make 48 payments of $143.34, for a total of:
$143.34 * 48 = $6,540.32
The difference between these two amounts is:
\(6,540.32 - 5,920.76 = 619.56\)
Rounding this to the nearest cent, we get $619.68. Therefore, the answer is (a) $619.68.
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Maximize la función Z 2x + 3y sujeto a las condiciones x 24 y 25 (3x + 2y = 52
To solve this problem, we can use the method of Lagrange multipliers. This method allows us to find the maximum or minimum of a function subject to constraints.
In this case, the function we want to maximize is Z = 2x + 3y and the constraints are x = 24, y = 25, and 3x + 2y = 52.We begin by setting up the Lagrangian function, which is given by:L(x, y, λ) = Z - λ(3x + 2y - 52)where λ is the Lagrange multiplier. We then take the partial derivatives of the Lagrangian with respect to x, y, and λ and set them equal to zero.∂L/∂x = 2 - 3λ = 0∂L/∂y = 3 - 2λ = 0∂L/∂λ = 3x + 2y - 52 = 0Solving for λ, we get λ = 2/3 and λ = 3/2. However, only one of these values satisfies all three equations. Substituting λ = 2/3 into the first two equations gives x = 20 and y = 22. Substituting these values into the third equation confirms that they satisfy all three equations. Therefore, the maximum value of Z subject to the given constraints is Z = 2x + 3y = 2(20) + 3(22) = 84.
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The maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.
To maximize the function Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, we will use the method of linear programming.
Let us first graph the equation 3x + 2y = 52.
The intercepts of the equation 3x + 2y = 52 are (0, 26) and (17.33, 0).
Since the feasible region is restricted by x ≤ 24 and y ≤ 25, we get the following graph.
We observe that the feasible region is bounded and consists of four vertices:
A(0, 26), B(8, 20), C(16, 13), and D(24, 0).
Next, we construct a table of values of Z = 2x + 3y for the vertices A, B, C, and D.
We observe that the maximum value of Z is 96, which occurs at the vertex B(8, 20).
Therefore, the maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.
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You focus your camera on a circular fountain. Your camera is at the vertex of the angle formed by tangents to the fountain. You estimate this angle measures 69 . What is the measure of the arc of the circular basin of the fountain that will be in the photograh?
The measure of the arc of the circular basin of the fountain that will be in the photograph is; 111°
Now, To answer this question, we need to understand the angle of intersecting secant theorem which state that;
If two lines intersect outside a circle, then the measure of the angle formed by the two lines is half of the positive difference of the measures of the intercepted arcs.
Thus;
θ = 1/2 (x₂ - x₁)
Where:
x₂ is large angle
x₁ is small angle
θ is measure of the Angle formed by the two lines
Now, we are given θ = 69°
Now the measure of the arc of the circular basin will be the smaller angle x₁.
However, the sum of the large and small angle is 360° and so large angle is 360 - x₁.
Thus;
69 = 1/2(360 - x - x)
2 × 69 = 360 - 2x
138 = 360 - 2x
360 - 138 = 2x
2x = 222
x = 222/2
x = 111°
Thus, The measure of the arc of the circular basin of the fountain that will be in the photograph is; 111°
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Convert ratio to fraction simplified. 25:45
-10.6 x -8.05 = ?
(need help!!)
Answer:
85.33
Step-by-step explanation:
-10.6 x -8.05 = 85.33
how many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?
Answer:
180
Step-by-step explanation:
A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.
6 × 6 × 5 = .180
The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.
This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.
The final answer is 6*6*5 = 180
so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is 180
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The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
Solve for the formula m
e=mc squared
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.
The relationship between variable F and x is 2x + 12000000/x
Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.
Let F represent the length of fencing in feet.
Area of fencing = 6000000 ft²
Area of fencing = x * (y + y) = x * 2y
Area of fencing = 2xy
6000000=2xy
xy = 3000000
y = 3000000/x
The perimeter is:
F = x + y + y + x + y + y
F = 2x + 4y
F = 2x + 4(3000000/x)
F = 2x + 12000000/x
Therefore the relationship between variable F and x is 2x + 12000000/x
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30 points look at picture
Answer:
linear and non-proportional
Step-by-step explanation:
1/45 \(\neq\) 1/30
2/60 = 1/30
Answer:
B linear & non proportional
Step-by-step explanation:
it DOESNT go thru 0,0
its a straight upward line
every point has the same rate
changes at a constant rate
x changed so does y
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Is the difference of a rational number and an irrational number always irrational? Explain.
Answer:
Step-by-step explanation:
Yes, the irrational number stays irrational.
Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers. If you like, they can be relatively prime to each other.
a/b + x = c/d Subtract a/b from both sides.
x = c/d - a/b Now put the 2 fractions over a common denominator.
x = (c*b - d*a)/(b*d) Investigate what you have.
b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).
cb and da are also integers. subtracted integers are also closed under subtraction.
But
Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)
So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.
What is the sum of 7x^2 − 3x + 5 and 8x + 2?
Answer: 7x^2 +5x+7
Step-by-step explanation:
Answer:
= 7x² + 5x + 7
Step-by-step explanation:
(7x² - 3x + 5) + (8x + 2)
= 7x² + 8x - 3x + 5 + 2
= 7x² + 5x + 7