None. There are no references in this line. This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line of code does not contain any references at all. Therefore, it is not possible for any references to be null, and it is impossible for a NullPointerException to be thrown in response to this line. NullPointerExceptions are only thrown when a program attempts to use a reference that is null, but this line does not contain any references, so such an exception is not possible. Consequently, no references can be null in this line and no NullPointerException can be thrown.
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Build Perseverance Find the measure of angle A and angle B for the given situation.
complementary angles A and B, where m
m
Answer:
2673+$&$ᷓ+62578
a student has an average of 85% on the unit tests, 83% on the final test, 89% on the class project, and 91% on homework submissions. if the unit tests count for 30% of the final grade, the final test counts for 40%, the class project counts for 20%, and homework submissions count for 10%, what is the weighted average grade of the student?
The weighted average grade of the student is 85.6% calculated by multiplying the weight of each category with the average score of that category, and summing up the results.
To find the weighted average grade of the student, we can use the following formula:
Weighted average = (weight of category 1 x average of category 1) + (weight of category 2 x average of category 2) + ... + (weight of category n x average of category n)
where n is the number of categories being considered.
Using this formula and the information given in the question, we can calculate the weighted average as follows:
Weighted average = (0.30 x 85%) + (0.40 x 83%) + (0.20 x 89%) + (0.10 x 91%)
= 25.5% + 33.2% + 17.8% + 9.1%
= 85.6%
Therefore,
The weighted average grade of the student is 85.6%.
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Benjamin invests $400 in a savings account that earns 5\%5% interest each year. Which expression does not give the correct balance in the account after 33 years?
If Benjamin invests $400 in a savings account that earns 5% interest each year, the expression that shows the correct balance is A = 400(1 + 0.05)(1 + 0.05)(1 + 0.05)
The principal amount = $400
interest rate = 5%
The equation of the simple interest
A = P (1+ rt)
Where A is the final amount
P is the principal amount
r is the interest rate
t is the time period
The final amount after one year
= 400( 1 + 0.05×1)
= 400(1 + 0.05)
The final amount after two year
= 400(1 + 0.05)(1 + 0.05)
The final amount after three year
= 400(1 + 0.05)(1 + 0.05)(1 + 0.05)
Therefore, the balance amount after three years is A = 400(1 + 0.05)(1 + 0.05)(1 + 0.05)
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how many ways can a dinner patron select appetizers and vegetables if there are appetizers and vegetables on the menu?
The number of ways a dinner patron can select appetizers and vegetables will depend on the number of options available for each course.
Let's say there are "m" appetizer options and "n" vegetable options on the menu.
Then, the patron has m options for the appetizer course and n options for the vegetable course. To find the total number of ways the patron can select both courses, you would multiply the number of options for each course:
m x n ways
So, if the patron has 4 options for appetizers and 3 options for vegetables, the total number of ways the patron can select both courses would be 4 x 3 = 12.
Therefore, the number of ways a dinner patron can select appetizers and vegetables will depend on the specific number of options available for each course.
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What is the mortgage loan amount on a home that sells for $230,000 with a down payment of $23,000? Use the formula
M = S − D,
where M is the mortgage loan amount, S is the selling price, and D is the down payment
The mortgage loan amount on a home that sells is 207000$.
A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.
The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.
M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.
M = $230,000 - $23,000
and = 207000$
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The top of a tree broken by the wind made an angle of 45° with the ground. If the distance of the point where the top touched the ground from the foot of the tree is 30 ft, find the height of the tree before it was broken. Ans: 72.43 ft
The height of the tree before it got broken is given as 72.43 feet
How to solve for the heightwe have
the angle made at 45 degrees
The top touched the ground from 30 feet
we have tan 45 = x / 30
1 = x /30
x = 30
cos 45 = 1 / √2
1 / √2 = 30 / y
y = 30√2
the height = x + y
= 30 + 42.43
= 72.43
The height of the tree before it was broken is 72.43 ft
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A rectangular prism is 3 yards long, 2 yards wide, and 12 yards high. What is the surface area of the rectangular prism?
The total surface area of the rectangular prism is 24 * 2 + 36 * 2 + 6 * 2 = 72 + 72 + 12 = 156 square yards.
The surface area of a rectangular prism is given by the sum of the areas of its six faces. To find the surface area of a rectangular prism that is 3 yards long, 2 yards wide, and 12 yards high, we need to find the area of each of its four rectangular faces and then add these areas together.
First, we find the area of the two faces that are 2 yards wide and 12 yards high. Each of these faces has an area of 2 * 12 = 24 square yards.
Next, we find the area of the two faces that are 3 yards long and 12 yards high. Each of these faces has an area of 3 * 12 = 36 square yards.
Finally, we find the area of the two faces that are 3 yards long and 2 yards wide. Each of these faces has an area of 3 * 2 = 6 square yards.
So, the total surface area of the rectangular prism is 24 * 2 + 36 * 2 + 6 * 2 = 72 + 72 + 12 = 156 square yards.
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Solve the equation by completing
the square.
x²8x + 16 = 0
Answer:
x = 4 twice.
Step-by-step explanation:
x^2-8x+ 16=0
Bring the constant to the other side.
x^2-8x=-16
Half the coefficient of x and square the result. Add to both sides.
x^2-8x+[-8/2]^2=-16+(-8/2)^2
x^2-8x+16= 16-16
x^2-8x+16=0
Now, whenever there's a perfect square constant, take the root of that constant. Since the coeff. of x is negative (-8),
(x-4)(x-4)=0 [-4^2=16 and -4+(-4)=-8]
Therefore, x-4=0 twice.
x=4 twice.
Hope this helps! :]
Please help Find the sum of each infinite sum
18, 2, 2/9, ...
the sum of each infinite geometric series sum is 36
Why is this process known as geometric progression?If the ratio between any two consecutive terms in a series of numbers is always the same, the progression is said to be geometric. The ratio of any two successive terms in the sequence (common difference) must be the same for the sequence 2, 4, 8, or 16 to be a general prime.
How can you calculate the infinite sum?S = a/1-r is a general formula for calculating the sum of an infinite geometric series, where s stands for the sum, a1 is the series first term, and r is the common ratio.
a = first term = 18
r = common ratio = 1/2
sum of Geometric progression
r< 1
S∞ = a/(1-r)
S∞ = 18/(1-1/2) =36
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in a pond the ratio of newts to toads was 3:4. 9 more toads then entered the pond and the ratio of newts became 3:5
Answer: As the ratio of newts and toads, 3:4
Step-by-step explanation:
all ratios equivalent to 5:8
answer:
if you multiply the 2 sides of the ratio by a number it will give you an equivalent ratio
5:8 = 10:16 multiplying by 2
5:8 = 15:24 multiplying by 3
5:8 = 20:32 multiplying by 4
5:8 = 25:40 multiplying by 5
5:8 = 30:48 multiplying by 6
5:8 = 35:56 multiplying by 7
and so on ...
HELP PLEASE!!!
Solve for the y-intercept given a slope of -2 and a point of (3,-2)
After solving for the line with slope as -2 and point (3,-2) , the y intercept is (0,4) .
We use the Point Slope form of a linear equation to write the equation of a line given its slope and a point on the line.
So , the point slope form is ⇒ y - y₁ = m(x - x₁) ;
Where m = slope , and (x₁, y₁) = point on line .
So , by using the slope (m = -2) and point (x₁, y₁) = (3, -2),
Substituting these values and simplifying further ,
We get ; ⇒ y -(-2) = (-2)×(x - 3) ;
⇒ y + 2 = (-2)×(x) + (-2)×(-3) ;
Subtracting 2 from both sides,
we have ;
⇒ y = -2x + 4
The y intercept of line is value of "y" when x = 0.
So , we substitute x = 0 in the equation of line y = -2x + 4 ;
that means ⇒ y = -2(0) + 4 ;
⇒ y = 4 .
Therefore, the y intercept of the line with slope "-2" and passing through the point (3, -2) is (0, 4).
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Write an inequality for the graph below.
Answer:
Y < (1/3) x - 5
please help me quikly
A video rental company offers a plan that includes a membership fee of $10 and charges $4 for every DVD borrowed. They also offer a second plan, that costs $50 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?
Write a system of equations, graph them, and type the solution.
The solution to this system of equations is (10, 50).
A graph of this system of equations is shown in the image attached below.
How to determine the number of DVDs when the two companies cost the same amount?Based on the information provided above, one of the plan includes a membership fee of $10 and charges $4 for every DVD borrowed. Therefore, the total cost, y, can be represented by this equation:
y = 4x + 10 .......equation 1.
where:
x represents the number of DVDs borrowed in a month.
For the second plan, it costs $50 per month for unlimited DVD rentals. Therefore, the total cost, y, can be represented by this equation:
y = 50 ....equation 1.
By equating equation 1 and equation 2, we have the following:
4x + 10 = 50
4x = 50 - 10
4x = 40
x = 40/4
x = 10 DVDs.
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PLS HELP ANSWER QUICK PLEASE SHOW WORK
Answer: NIKES
Step-by-step explanation:
BEFAUSE 5/2 IS THE WHG0LE D[IWJAEOIDHNC;SHCOWIADHJA[OISHWNIOD
Answer: the answer is nike
Step-by-step explanation: Because the shipping fee on callaway is more than the order.
determine if its a depicts a function or not
The relations that are functions are 2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 8.
Which relations are functions?A relationship maps elements from one set (the domain) into elements from another set (the range), and a relation is a function only if each element of the domain is mapped into only one value of tha range.
For example, if you look at the relation 8, you can see that the input x = 1 is mapped into two different outputs, then this is not a function.
With that in mind, the options that are functions are:
2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 2.
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Which graph shows the function y = 3x - 5 ?
The solution is, Option A. Line X
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
We have to identify the line which represents the function f(x) = 3x - 5
The given equation is y = 3x -5, in which slope of the line should be 3 and y- intercept is -5.
In these lines line x is having y-intercept as -5.
Line x passes through (1, 2) and (0, -5)
So slope of the given line will be = y2 - y1/ x2 - x1
= -5-2/ 0-1
= 3
Therefore, option A : Line X is the answer.
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assume that earth is a sphere with radius 3960 miles a town is at latidtude 32 n find the distance in miles from the town to the north pole
The distance from the town to the North Pole is approximately 2290 miles.
To find the distance in miles from the town to the North Pole, we need to calculate the length of the meridian arc from the town to the North Pole. The meridian arc is a portion of a great circle passing through the town and the North Pole.
The length of the meridian arc can be calculated using the formula:
Length = (π/180) x radius of the Earth x angle in degrees
where π is approximately 3.14159, and the radius of the Earth is 3960 miles.
Since the town is located at latitude 32°N, the angle between the town and the North Pole is 90° - 32° = 58°.
Plugging in these values into the formula, we get:
Length = (π/180) x 3960 miles x 58°
Length = (3.14159/180) x 3960 miles x 58
Length ≈ 2290 miles
Therefore, the distance from the town to the North Pole is approximately 2290 miles.
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The length of a rectangle is three times its width and its perimeter is 120 feet.
What are the dimensions?
Answer: Width = 45 feet; Length = 15 feet;
Step-by-step explanation: Start by substituting 3w for the length because it says that in the problem. We know that 2(L+W) equals the perimeter. Since we substituted 3w for length we get 8w for the perimeter. Divide 120 by 8 to find that the width is 15 feet and plug it into 3w to get the length of 45 feet.
Answer:
45 feet and 15 feet are the length and width
Step-by-step explanation:
P = 120 feet
a (length) = 3 * b (width)
P = 2 * (a + b)
P = 2 * (3b + b)
P = 2 * 4b
P = 8 * b
=> 8b = 120 feet
P = 120 feet
b = 120 / 8
b = 15 feet
a = 3 * b
a = 3 * 15
a = 45 feet
The equation 7(2W + 3) = 14W + 20 has no solutions. Change one term in the original equation to create a new equation with infinitely many solutions.
The equation with infinitely many solutions is given as follows:
7(2W + 3) = 14W + 21.
How to obtain the equation with infinitely many solutions?
The system of equations for this problem is defined as follows:
7(2W + 3) = 14W + 20.
Applying the distributive property to the left side, we will have that:
14W + 21 = 14W + 20.
The two lines have the same slope but different intercepts, hence the system contains zero solutions.
To contain an infinite number of solutions, they must have the same slope and the same intercept, then the equation is given as follows:
7(2W + 3) = 14W + 21.
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Step-by-step explanation:
=
[tex]7(2w + 3) = 14w \\ 14w + 21 = 14w \\ 14w - 14w = - 21 \\ 0 = - 21 \\ = - 21[/tex]
Which scatter plot most likely has a line of best fit represented by y = 3x + 1?
The graph showing the line of best fit for the function y = 3x + 1 is attached below
What is line of best fitThe line of best fit is a line that is used to represent the relationship between two variables in a scatterplot. It is a line that passes through the center of the data points in the scatterplot in such a way that the total distance between the line and the data points is minimized. The line of best fit can be used to make predictions about the value of one variable based on the value of another variable. There are several methods to obtain the line of best fit, including the method of least squares, which finds the line that minimizes the sum of the squares of the differences between the observed values and the values predicted by the line.
In the problem given, the line of best fit the line of best fit can be plotted on a graph using a graphing calculator.
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When factoring a tricky trinomial, a > 1, and you have more than one pair of factors for a term, which pair should you always try first?
When factoring a tricky trinomial with a leading coefficient greater than 1, and you have more than one pair of factors for a term, it is usually best to try the pair of factors that multiplies to give the constant term first.
This is because when factoring a trinomial with a leading coefficient greater than 1, the first term will always have fewer factors than the last term, and it can be easier to find the correct pair of factors for the constant term than for the first term.
If the correct pair of factors for the constant term is found first, it can be easier to use that information to deduce the correct pair of factors for the first term.
In addition, once you have found one pair of factors for the trinomial, you can use the factoring by grouping technique to factor the trinomial completely. This involves grouping the terms of the trinomial in pairs, factoring out the greatest common factor of each pair, and then factoring out the greatest common factor of the resulting expressions.
Overall, when factoring a tricky trinomial with a leading coefficient greater than 1, it can be helpful to start by trying the pair of factors that multiplies to give the constant term first, and then using the factoring by grouping technique to factor the trinomial completely.
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Write the equation in standard form of the line y=1/9x+5
The equation in standard form is x - 9y = -45.
What is the Equation of a Line in Standard Form?The equation of a line in standard form is Ax + By = C, where x and y are variables and A, B and C are integers.
Given equation is y = 1/9 x + 5.
Here 1/9 is not an integer.
So multiplying the equation throughout by 9, we get,
9y = x + (5 × 9)
9y = x + 45
Subtracting both sides by x,
9y - x = 45
-x + 9y = 45
Multiplying throughout by -1,
x - 9y = -45, which is in standard form.
Hence the equation is x - 9y = -45 in standard form.
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how to convert 26kg 45g in kg
Step-by-step explanation:
45g = 0.045kg
0.045 + 26 = 26.045
Final answer is 26.045 kg
Mrs. Jacobson is shopping for school supplies with her children. Isabelle selected 4 one-inch binders and 5 two-inch binders, which cost a total of $24. Bill selected 1 one-inch binder and 2 two-inch binders, which cost a total of $9. How much does each size of binder cost?
ANSWER is one- incher=1 while two inch binder=2.By using simultaneous equation.
The Atlas V Rocket could go 1 full mile in just 110 of a second. How fast did it travel?
The speed of the Atlas V Rocket was approximately 8,727.27 miles per hour, based on the given information that it could go one mile in 0.11 seconds.
To find the speed of the Atlas V Rocket, we need to use the formula:
speed = distance / time
In this case, the distance is 1 mile, which is equal to 1609.34 meters. The time is 110th of a second, which is equal to 0.1 seconds (since there are 10 tenths in a second).
So, plugging these values into the formula, we get:
speed = 1609.34 meters / 0.1 seconds
speed = 16093.4 meters per second
Therefore, the Atlas V Rocket traveled at a speed of 16093.4 meters per second.
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two paintings in an art display have shapes that are similar figures. the similarity ratio is 9:7. the perimeter of the smaller painting is 6 meters. which is the perimeter of the larger painting to the nearest tenth?
Two paintings in an art display have shapes that are similar figures. the similarity ratio is 9:7 and the perimeter of the smaller painting is 6 meters therefore the perimeter of the larger painting to the nearest tenth is 7.7 meters.
What is Perimeter?This is referred to as the total distance around a two-dimensional shape.
Perimeter of the smaller painting is 6 meters and similarity ratio is 9:7
9 = x
7 = 6
7x = 54
x = 54/7 = 7.7 meters.
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Which of the following rational functions is graphed below?
-5
OA. F(x)=
O C. F(x) =
1
B. F(x) = (x+2)(x-3)
OD. F(x) =
5
x(x - 2)
(x-2)
(x + 3)
1
(x-2)(x+3)
5
The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x(x + 5)(x - 2)
x(x + 5)(x - 2) = 0
x = 0, x + 5 = 0, x - 2 = 0
x = 0, -5 and 2
The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2
Hence, the graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2
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Please! I really need help.
The answers are given as follows:
2
a)
A = 8
b = 10
x = 118°
y = 62°
b)
a = 8
b = 15
y = 50
x = 100°
3)
(a)
∠2 = 25°
∠3 = 65°
∠4 = 65°
∠5 = 90°
(b)
since SL = 10,
i) LT 10
ii) TM = 10
iii) SM = 10
4)
a) Since m∠118
∠2 = 18°
∠3 = 72°
∠4 = 72°
If FA = 27, then LO = 13.5
The above are resolved using the properties of Parallelograms; Rhombus, and Rectangle
Since the above answers are justified by the qualities or properties of :
Parallelograms; Rhombus, and Rectangle, lets look at them one by one.
2
a)
A = 8 - opposite sides of a parallelogram are equal in length
b = 10 -opposite sides of a parallelogram are equal in length
y = 62° - opposite angles of a parallelogram are of equal measure.
x = 118° - Sum of angles of a parallelogram - 360°. x = (360 - (62*2))/2
= 118°
3)
(a) Here we have a Rhombus.
∠2 = 25° - Opposite angles of a rhombus are equal; Diagonals bisect the angles of a rhombus. Thus ∠1≅∠2
∠3 = 65° - Since diagonals bisect each other at right angles, ∠3 = 180 - (25+90) = 65°
∠4 = 65° - Diagonals bisect the angles of a rhombus. Thus, ∠3≅∠3
∠5 = 90° - [properties of a Rhombus]
(b)
since SL = 10,
i) LT 10 - All sides of a Rhombus are equal
ii) TM = 10 - All sides of a Rhombus are equal
iii) SM = 10 - All sides of a Rhombus are equal
4) Here we have a Rectangle.
a) Since m∠18
∠2 = 18° because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠2≅∠1 (AAS)
∠3 = 72° - Each interior angle is equal to 90 degrees. Thus, m∠ = 90-18 = ∠72°
∠4 = 72° - because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠4≅∠3(AAS)
If FA = 27, then LO = 13.5 - The diagonals bisect each other.Thus,
LO = FA/2
LO = 27/2
LO = 13.5
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A2=6. R=1/2 use the given term and common ratio to write the explicit formula and recursive formula of the geometric sequence
The explicit formula and recursive formula of the geometric sequence is Aₙ = 12(R)ⁿ⁻¹ where n is an integer.
It is given that in a geometric sequence, the second term and the common ratio are 6 and /2 respectively.
Now, we have to write the standard formula that can be further formulated as the explicit formula and recursive formula of the geometric sequence, The formula goes as,
Aₙ = A₁(R)ⁿ⁻¹
Here,
Aₙ is the nth term of the sequence. So, if we want the first term then will put n = 1, n= 2 for second term and so on.
Now, putting n = 2,
A₂ = A₁(R)²⁻¹
A₂ = A₁(R)
6 = A₁(1/2)
A₁ = 12
So, the explicit and recursive formula will be Aₙ = 12(R)ⁿ⁻¹.
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