Calculate the value of R, without rounding any intermediate values, round your final answer
Answers
Let's start to solve the expression:
The value of R is 538.19
Related Questions
I need help with this question
Answers
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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Hi guys im here for another question
Can you give me the answers?
Answers
Hi i'm here to help the answer is 78 please mark me brainliest
The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:
Answers
Answer: $4,998
Step-by-step explanation:
34000*1.147
38998-34000=4998
Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
Answers
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Quantity of electricity used in kilowatts is;
1000 watts = 1 kilowatts
2,500 watts = 2.5 kilowatts
Given that Number of hours Val runs AC per day = 5 hours
Number of days = 30 days
Cost of electricity = $0.18 kilowatts per hour
The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;
= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity
= 2.5 × 5 × 30 × 0.18
= $67.5
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
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I have no idea what the answer is or how to do it,A certain state uses the following progressive tax rate for calculating individual income tax0-3000 2% tax rate3001-5000 3% tax rate5001-17,000 5% tax rate17,001 and up 5.75% tax rateCalculate the state income tax owed on a 60,000 per year salary
Answers
SOLUTION
From the table given, the progessive income tax for salaries of $17,001 and above is 5.75% of the income.
So, for $60,000, it will also be 5.75% of the income.
This becomes
\(\begin{gathered} \frac{5.75}{100}\times60,000 \\ =3450 \end{gathered}\)Therefore, the answer is $3,450
what is the common difference for the arithmetic sequence -5,-1,3,7
Answers
Answer: 4
-5+4=-1
-1+4=3
3+4=7
I hope this is good enough:
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
Answers
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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In 50 words or fewer, describe the relationship between the volumes of a cylinder
and a cone that have the same size base and equal heights.
Answers
These figures have curved surfaces, not flat faces. A cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat. A cone has one circular base and a vertex that is not on the base.
When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. Use the large 12x7 m rectangles on the top and bottom as the bases.
Possible Answers:
A) 76 m^2;244 m^2
B) 76 m^2;160 m^2
C) 216 m^2;160 m^2
D) 216 m^2;244 m^2
Answers
Rounding to the nearest whole number. The correct option is D) 216 m²; 244 m².
Since the prism has a rectangular base, we know that its lateral faces are all rectangles with heights equal to the height of the prism. Let's first find the lateral area of the prism using the formula:
Lateral Area = Perimeter of Base * Height
The perimeter of the base is the sum of the lengths of all four sides of the rectangle. Since there are two bases, we will add their perimeters together. The length and width of each base are 12 m and 7 m, respectively, so:
Perimeter of Base = 2 * (Length + Width) = 2 * (12 + 7) = 38 m
The height of the prism is given as 10 m, so:
Lateral Area = 38 * 10 = 380 m²
Next, we need to find the surface area of the prism. This consists of the lateral area we just found, plus the areas of the two bases. Each base has an area of 12 * 7 = 84 m², so:
Surface Area = 2 * Base Area + Lateral Area = 2 * 84 + 380 = 548 m²
Rounding to the nearest whole number, we get:
Lateral Area ≈ 380 m²
Surface Area ≈ 548 m²
Therefore, the answer is option D) 216 m²; 244 m².
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The Tigers scored 53 points in a basketball game.
The Lions scored 12 fewer points than the Tigers.
How many points did the Lions score?
Answers
Answer: The Lions scored 41 points.
53 - 12 = 41
Answer: 41
Step-by-step explanation: if the Lions scored Less than the Tigers. Then you would subtract the points the from the Tigers to the Lions. Therefor they scored 41.
A circle has a radius of 6 meters. What is the circumference of the circle?
OA) 12 m
OB) 9 m
OC) 6am
OD) 37 m
Answers
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
Answers
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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By selling 75 apples, a seller gains the cost price of 15 apples.
find his gain percentage?
Answers
Answer:
20%Step-by-step explanation:
In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage
step onegiven data
given that he sells a total of 75 apples
and also that he gains 15 apples
step twoTo solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.
i.e (profit/total sales)*100
= (15/75)*100
= 0.2*100
= 20%
\(8x ^{2} y + 12xy - 16xz\)
Factorize the expression
Answers
The factοrs οf the expressiοn is 4x(2xy+3y-4z).
What is factοrizatiοn?Tο factοrise an algebraic statement, we first identify the terms' highest cοmmοn factοrs and then arrange the terms intο grοups in accοrdance with thοse grοups. In plain English, factοrizatiοn is the prοcess thrοugh which an algebraic expressiοn gets expanded in the οppοsite directiοn.
Here the given expressiοn is ,
=> \(8x^2y+12xy-16xz\)
Nοw factοrizing the given expressiοn then,
=> 4×2×x×x×y+4×3×x×y-4×4×x×z
=> 4x(2xy+3y-4z)
Hence the factοrs οf the expressiοn is 4x(2xy+3y-4z).
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. Why is the following arrangment of squares not an array?
Answers
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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For the diagram shown, find the measures of angles 4,5, and 6.
Answers
Answer:
wheres the diagram???
Step-by-step explanation:
Determine how many integer solutions there are to
x₁ + x₂ + x3 + x₁ = 20, if
0≤x₁ < 3, 0≤ x₂ < 4, 0≤x3 <5, 0≤x4 < 6
Answers
Based on the information given, there are a total of 118 solutions.
How many possible solutions are there?This is a problem of solving a Diophantine equation subject to some conditions. Let's introduce a new variable y4 = 20 - (x1 + x2 + x3 + x4). Then the problem can be restated as finding the number of solutions to:
x1 + x2 + x3 + y4 = 20
Subject to the following conditions:
0 ≤ x1 < 3
0 ≤ x2 < 4
0 ≤ x3 < 5
0 ≤ y4 < 6
We can solve this problem using the technique of generating functions. The generating function for each variable is:
(1 + x + x^2) for x1
(1 + x + x^2 + x^3) for x2
(1 + x + x^2 + x^3 + x^4) for x3
(1 + x + x^2 + x^3 + x^4 + x^5) for y4
The generating function for the equation is the product of the generating functions for each variable:
(1 + x + x^2)^3 (1 + x + x^2 + x^3 + x^4 + x^5)
We need to find the coefficient of x^20 in this generating function. We can use a computer algebra system or a spreadsheet program to expand the product and extract the coefficient. The result is: 1118
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Answer: This problem involves finding the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints. We can use the stars and bars method to solve this problem.
Suppose we have 20 stars representing the sum x₁ + x₂ + x3 + x₁. To separate these stars into four groups corresponding to x₁, x₂, x₃, and x₄, we need to place three bars. For example, if we have 20 stars and 3 bars arranged as follows:
**|**||
then the corresponding values of x₁, x₂, x₃, and x₄ are 2, 4, 6, and 8, respectively. Notice that the position of the bars determines the values of x₁, x₂, x₃, and x₄.
In general, the number of ways to place k identical objects (stars) into n distinct groups (corresponding to x₁, x₂, ..., xₙ-₁) using n-1 separators (bars) is given by the binomial coefficient (k+n-1) choose (n-1), which is denoted by C(k+n-1, n-1).
Thus, the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints is:
C(20+4-1, 4-1) = C(23, 3) = 1771
However, this count includes solutions that violate the upper bounds on x₁, x₂, x₃, and x₄. To eliminate these solutions, we need to use the principle of inclusion-exclusion.
Let Aᵢ be the set of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints, where xᵢ ≥ mᵢ for some integer mᵢ. Then, we want to find the cardinality of the set:
A = A₀ ∩ A₁ ∩ A₂ ∩ A₃
where A₀ is the set of all non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20, and Aᵢ is the set of solutions that violate the upper bound on xᵢ.
To find the cardinality of A₀, we use the formula above and obtain:
C(20+4-1, 4-1) = 1771
To find the cardinality of Aᵢ, we subtract the number of solutions that violate the upper bound on xᵢ from the total count. For example, to find the cardinality of A₁, we subtract the number of solutions where x₂ ≥ 4 from the total count. To count the number of solutions where x₂ ≥ 4, we fix x₂ = 4 and then count the number of solutions to the equation x₁ + 4 + x₃ + x₄ = 20 subject to the constraints 0 ≤ x₁ < 3, 0 ≤ x₃ < 5, and 0 ≤ x₄ < 6. This count is given by:
C(20-4+3-1, 3-1) = C(18, 2) = 153
Similarly, we can find the cardinalities of A₂ and A₃ by fixing x₃ = 5 and x₄ = 6, respectively. Using the principle of inclusion-exclusion, we obtain:
|A| = |A₀| - |A
Step-by-step explanation:
help pls!!!!!
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answers
Answer:
y ≥ 5x+ (-3)
Step-by-step explanation:
greater than or equal to ≥
The sum means add
y ≥ 5x+ (-3)
Answer:
Option D, y ≥ 5x + (-3)
Step-by-step explanation:
Step 1: Make an expression
The value of y is greater than or equal to the sum of five times the value of x and negative three.
The value of y is greater than or equal to ← y ≥
The sum of five times the value of x and negative three ← 5x + (-3)
y ≥ 5x + (-3)
Answer: Option D, y ≥ 5x + (-3)
Does anyone know the answer to this math question I’m lost
Answers
Answer:
D. 17
Step-by-step explanation:
Each time, 2 blocks are added. Figure 1 is 3 blocks, 2 is 5 blocks, 3 is 7 blocks, and 4 is 9 blocks. Continue all the way to 8 and you get 17 blocks.
Answer:
D: 17
Step-by-step explanation:
they add 2 in every figure.
1= 3
2= 5
3= 7
4= 9
5= 11
6= 13
7= 15
8= 17
Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
( ﾟдﾟ)つ Bye
4 points
Carmen is paid piece-rate for each of the 268 items he produces in a
week, and she receives gross wages of $469. What is Carmen's per piece
rate?
*
Answers
Answer:
C $1.75
Step-by-step explanation:
$469 divided by 268 is $1.75, so it's $1.75 per item
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call voters and ask for donations. (picture below)
a) only adelina's
b) only josh's
c) both statements are correct
d) neither statements are correct
Answers
Answer:
Adelina
Step-by-step explanation:
HELP AP Math
Simplify 4 to the second power x 4 to the eighth power
Multiple choices
4 to the sixteenth power
4 to the tenth power
16 to the sixteenth power
16 to the tenth power
Answers
Answer:
16 the the tenth power
Step-by-step explanation:
four to the second power is ... 400
4×4≈16
(4+4=8)
(8+8=16)
(400-300=100)
(100-96=4)
What is the value of 6 in 1.066
Answers
Answer: 6 thousandths but if you’re talking about the second six then it would be 6 ten thousandths
Step-by-step explanation:
Answer:
if you mean the place value of the last 6 it would be 6 thousandths if you mean the 2nd to last it would be 6 hundredths.
Step-by-step explanation:
What is 9/40 as a percentage
Answers
Answer:
22.5%
Step-by-step explanation:
As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
Answers
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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6th grade math :)...
Answers
Answer:
7 x 3 = 21
Step-by-step explanation:
Answer:
21 days
Step-by-step explanation:
It says the kangaroo carries a baby for 3 weeks, and gives us the hint that 1 week = 7 days.
We do 7x3 to find out the total of days.
7x3=21
Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.
Answers
Answer:
If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.
help please !!!!!!!!!!
Answers
Answer:
it is -3
Step-by-step explanation:
go to x=-4 and see what the y value of the line is
Answer:
1
Step-by-step explanation:
Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.
The equation is y= 1/2x -1.
Plugin 4 for x and solve for y.
y = 1/2(4) -1
y = 2 - 1
y = 1
is x+5=5+x the assocaitive property
Answers
I am not that sure of my answer, however, I believe that the answer to your question is Yes, that it is assocaitive property
I don't know if its correct, but I hope this helps
How many roots do the functions have in common f(x)=x^2+x-6
Answers
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.