Standard notation: 329.01
In standard notation, the digits are read from left to right, and each digit represents a different place value. The first digit, 3, represents the hundreds place, the second digit, 2, represents the tens place, the third digit, 9, represents the ones place, the fourth digit, 0, represents the tenths place and the fifth digit, 1, represents the hundredths place.
3100 + 210 + 91 + 00.1 + 1*0.01 = 329 + 20 + 9 + 0 + 0.01 = 329.01
Scientific notation: 3.2901 x 10^2
In scientific notation, the number is written as a decimal number multiplied by a power of 10. The decimal number, 3.2901, represents the coefficient and the power of 10, 10^2, represents the exponent.
3.2901 x 10^2 = 3.2901 x 100 = 329.01
Expanded notation: 3100 + 210 + 91 + 00.1 + 10.01
In expanded notation, the number is written as the sum of each digit multiplied by its corresponding place value.
3100 + 210 + 91 + 00.1 + 10.01 = 329 + 20 + 9 + 0 + 0.01 = 329.01
Fractional notation: 32901/10000
In fractional notation, the number is written as a ratio of two integers. The numerator represents the value of the number, and the denominator represents the place value of the last digit.
32901/10000 = 329.01
Decimal notation: 32901 in base 10
In decimal notation, the number is written as a whole number in base 10. The number can be represented as a combination of digits ranging from 0 to 9.
32901 = 329.01
All the 5 different ways of representation are mathematically equivalent and represent the same number 329.01, they are all different ways of expressing the same value and they all show the understanding of the place value system.
EASY POINTS!
Let's say you are ordering books online and the online store is having a 12% off sale. If the subtotal of the books, before the discount, is $25, what is the total cost of the books if there is also a state sales tax of 7.5%?
$23.65
$26.13
$22.00
$23.13
What is the value of the expression 30-(-6)?
Answer:
-5
30x6=5
5 and convert to negative -5
In Exercises 15-18, each linear equation is in the form y= mx + b. Identify m and b.
15. y = 52 +8
16. y=-2x - 6
how many numbers are there in pie
Answer:
62.8 trillion
Step-by-step explanation:
Records are made to be broken. In 2019, we calculated 31.4 trillion digits of π — a world record at the time. Then, in 2021, scientists at the University of Applied Sciences of the Grisons calculated another 31.4 trillion digits of the constant, bringing the total up to 62.8 trillion decimal places
Answer:
Step-by-step explanation:The following are the trial balance and other information related to Soft Tech, a
consulting engineer.
Soft Tech, Consulting Engineer
Trial Balance
December 31, 2022
Debit Credit
Cash Br. 59,000
Accounts Receivable 99,200
Allowance for Doubtful Accounts Br. 1,500
Supplies 3,920
Prepaid Insurance 2,200
Equipment 50,000
Accumulated Depreciation—Equipment 12,500
Notes Payable 14,400
Share, Capital 104,020
Dividend 34,000
Service Revenue 200,000
Rent Expense 19,500
Salaries and Wages Expense 61,000
Utilities Expense 2,160
Office Expense 1,440
Br. 332,420 Br. 332,420
Other data:
1. Fees received in advance from clients Br.12,000.
2. Services performed for clients that were not recorded by December 31,
Br.9,800.
3. Bad debt expense for the year is Br.2,860.
4. Insurance expired during the year Br.960.
5. Equipment is being depreciated at 10% per year.
6. Fine Tech gave the bank a 90-day, 10% note for Br.14,400 on December 1,
2022.
7. Rent of the building is Br.1,500 per month. The rent for 2022 has been
paid, as has that for January 2023.
8. Salaries and wages earned but unpaid December 31, 2022, Br.5,020.
two-thirds times g times 10.
The mathematical expression, for the given statement is 20g/3
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a statement, two-thirds times g times 10.
Converting into mathematical expression,
2/3 of g = 2g/3
And,
2/3 of g of 10
= 2g/3 × 10
= 20g / 3
Hence, the mathematical expression, for the given statement is 20g/3
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Brad is putting up a circular flower garden with a radius of 4.5 feet in his yard. He
will put plastic edging along the flowerbed. How many feet of edging will Brad need
to enclose his flower garden?
According to the problem Brad will need 28.27 feet of edging to enclose his flower garden.
What is edging?Edging in math is a technique that involves finding the maximum or minimum value of a function. It is typically used to optimize or increase the performance of a particular solution. In other words, edging is a process by which a function is “reduced” to its most efficient form. For example, a function that is non-linear can be “edged” to become more linear, thereby increasing its efficiency. Additionally, edging can be used to identify certain features within a solution, such as local maximums or minimums. Edging is an important tool in math, and it can be used in a variety of different applications, from optimization to data analysis.
Brad will need 28.27 feet of edging to enclose his flower garden. This is because the circumference of a circle is equal to 2πr, where r is the radius. Therefore, the circumference of Brad's flower garden with a radius of 4.5 feet is 28.27 feet.
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Students’ GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an “admissions index” score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state. In this context, what percentile does the top 12% represent?
The percentile of the top students will be 88%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state.
The percentile of the top student is given as,
⇒ 100% - 12%
⇒ 88%
The percentile of the top students will be 88%.
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Solve ◇ABC if A - 90º, B = 44°, and c = 17. 12pt v Paragraph
The value of ∠A in triangle ΔABC is 119° with ∠B = 44° and ∠C = 17° .
What is a Triangle ?A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
The properties of a Triangle are :
Three sides and three angles make up a triangle.A triangle's total angles are always 180 degrees.A triangle's outside angles are always a sum of 360 degrees.The total of the parallel interior and exterior angles is additional.The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.
In triangle ΔABC
∠B = 44° and ∠C = 17°
So, The sum of angles of a triangle is 180°
Therefore,
∠A + ∠B + ∠C = 180°
⇒∠A + 44° + 17° = 180°
⇒∠A = 180° - 61°
⇒∠A = 119°
The value of ∠A in triangle ΔABC is 119° with ∠B = 44° and ∠C = 17° .
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A table of values of a linear function is shown below.
X
y
0
-3
y-intercept:
slope:
equation:
1
-1
Find the y-intercept and slope of the function's graph, and find the equation for the function.
-3
0
2
1
y = 0
3
3
4
5
8 08 0-0
3
X
Step-by-step explanation:
The y-intercept of a function can be found by looking at the point where the x-coordinate is 0. In this case, the y-intercept of the function is -3, as the point (0,-3) is on the graph.
The slope of a function can be found by looking at the change in y divided by the change in x between two points on the graph. In this case, we can use the points (0,-3) and (1,-1) to find the slope. The change in y is -1 - (-3) = 2 and the change in x is 1 - 0 = 1. So the slope is 2/1 = 2.
Therefore, the equation of the function can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. So the equation of the function is:
y = 2x - 3
It's the equation of a line that pass through (0,-3) and (1,-1) and (2,1) and (3,3) and (4,5)
Interpret the slope.
f(x)=4+x
The slope is
Therefore , the solution of the given problem of slope comes out to be
line's equation is y =.1333 x + 1.55.
What is meant by slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).If you look at the line from left to right, a line that is moving up will have a positive slope and a line that is moving down will have a negative slope.
Here,
Given : f(x) =4 +x
The line's "intercept" of the y-axis marks the location of the y-intercept. It also makes sense because a player with a 25 cm heel to toe measurement is about 1.55 metres tall. This is most likely.
Any line has the equation y=mx+b (m=slope, b=y-intercept).
Finding two spots on this line where it crosses will reveal the slope of the line. I'll use the numbers (25.5, 1.6) and (26.25,1.7).
=> (y(2)-y(1)) / (x(2)-x(1))
=> m 1.7 - 1.6 / 26.25 - 25.5
=>.1/.75 =.13333 is the formula to calculate the slope.
At roughly 1.55m, this line crosses the y-intercept.
This line's equation is y =.1333 x + 1.55.
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Which of the following attributes describes a sphere?
1 apex
curved surface
2 edges
circular base
Answer: Curved surface!
Step-by-step explanation:
Answer:
curved surface:) good luck in school guys!
Step-by-step explanation:
√3x is equivalent to what expression
The statement is false the expression √3x is equivalent to the expression x√3.
What is an expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.let us check by an example put the value of x = 3
√3x = x√3.
and, √3 x 3 = 3√3
and, √9 ≠ 3√3
Here we can see that the two values are not equal.
Thus, the statement is false the expression √3x is equivalent to the expression x√3.
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Suppose you take a random sample of size 25 from a population with mean of 120 and a standard deviation of 15. Your sample has a mean of 115 and a standard deviation of 13.8. Which of the following has a mean of 120 and a standard deviation of 3?answer choicesthe distribution of the populationthe distribution of the sample datathe sampling distribution of the sample mean.the sampling distribution of the population mean.No important distribution related to this situation has the given mean and standard deviation.
After taking the random sample, the following has the mean sample of (c) the sampling distribution of the sample mean.
A random sample is a group of people chosen at random, all with the same probability, from a larger group of people as mentionedinstatistics. It makes sure that the results you get from your sample should be close to what you would have gotten if you measured the entire population.
All units in the population have an equal chance of being chosen using the simplest random sample. Sampling should completely eliminate any signs of bias. Every person in the big population set has the same chance of being chosen because the people who make up the subset of the bigger group are selected at random.
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One-fourth of the animals at the shelter are cats. If there are 660 animals at the shelter how many are cats?
Answer:
165 of the animals at the shelter are cats.
Step-by-step explanation:
If one-fourth of the animals at the shelter are cats and there are 660 animals at the shelter, to get the number of cats you divide the total number of animals by the percentage of cats.
660 / 4 = 165
In ΔTUV, t = 820 inches, mm∠U=132° and mm∠V=25°. Find the length of u, to the nearest inch.
The measure of the length of u for the condition is 1560 inches (approx).
What are the laws of sines?The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle.
Given ΔTUV
t = 820 inches
∠U = 132°
∠V = 25°
and ∠T = 180 - 132 - 25
∠T = 23°
so according to the law of sines
[tex]\frac{SinT}{t} = \frac{SinU}{u}= \frac{SinV}{v}[/tex]
so u = t*(SinU/SinT)
u = 820(Sin132/sin23)
u = 820(1.9019)
u = 1559.58 inches = 1560 inches (approx)
Hence the value of u is 1560 inches (approx).
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Find the quotient of these complex numbers.
Answer: The answer is B
Step-by-step explanation:
( 2 + 2 ) divided by ( 5 + 4) is the same as 4/9 which is also the same as 2/9 + 2/9 which equals 4/9.
whats the sum of
1/2 and 1/14 pleaseee
Answer:
0.571428571
Step-by-step explanation:
To find the sum of two fractions with different denominators, a common denominator must be found.
In this case, the two in the denominator must be multiplied to make it 14.
14/2 = 7, so multiply 2 by 7 to get 14, and what you do to the bottom you must do to the top, so 1 * 7 = 7.
Now, your two fractions are 7/14 and 1/14. Add the numerators as the denominators are equal.
7+1 = 8
8/14 is the sum, which can be divided by 2 on the top and bottom to simplify.
8/2 = 4, and 14/2 = 7
4/7
Please help me with this question.
The measure of angle t is (d) 103 degrees
How to determine the measure of angle tFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the law of cosines, we have the following equation:
t² = x² + y² - 2xy * cos(T)
Substitute the known values in the above equation, so, we have the following representation
44² = 32² + 24² - 2 * 24 * 32 * cos(T)
Evaluate the products and exponents
1936 = 1600 - 1536 * cos(T)
So, we have
cos(T) = -336/1536
Divide
cos(T) = -0.21875
Take the arccos of both sides
T = 103
Hence, the angle is 103 degrees
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what is the answer to the question y^2+4y
The equation y^2+4y represents a parabola that is open upward. The general form of a quadratic function is y = ax^2 + bx + c.
In this case, the coefficient of the x^2 term is 1, the coefficient of the x term is 4, and the constant term is 0.
This equation can be factored as y(y+4) = 0.
This equation is satisfied by y = 0 and y = -4.
Therefore, the solutions of y^2+4y = 0 are y = 0 and y = -4.
find f(g(1)) if f(x)=4x and g(x)=2x+5
Evaluating the composition of functions in x = 1 gives:
f(g(1)) = 28
How to find the composition of functions?Here we have the two functions:
f(x) = 4x
g(x) = 2x + 5
And we want to find to find the composition f(g(x)), we will get:
f(g(x)) = 4*g(x)
Replacing g(x) there we will get:
f(g(x)) = 4*(2x + 5)
= 8x + 20
Now we can evaluate that in x = 1, then we will get:
f(g(1)) = 8*1 + 20 = 28
That is what we wanted to find.
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King Arthur had 30 3030 gold coins and 43 4343 silver coins in his pocket. How many coins did he have in all?
Answer:
737373
Step-by-step explanation:
You just add them together? Am I missing something?
The flooring will cost $2 per square foot. How much would it cost Suzie to lay this flooring so it fully covers the floor of room?
Answer:
To find out how much it would cost Suzie to lay the flooring so it fully covers the floor of room, you need to know the area of the room's floor and the cost per square foot of the flooring.
If the flooring will cost $2 per square foot, and if the area of the room's floor is x square feet. Then the total cost will be $2x.
Without knowing the area of the room's floor, it is impossible to determine the cost of the flooring.
A new sidewalk will be 4 feet wide, 140 feet long, and filled to a depth of 6 inches ( 0.5foot) with concrete. How many cubic yards of concrete are needed?
The required volume of concrete in cubic yards to make the sidewalk is 124.4444 yards³
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Dimensions of the side walk 4 ft. 140 and 6 feet.
We know the volume of the rectangular cuboid side walk will be given by
V= 4×140×6
=3360 ft³
Thus the volume of concrete that will be required to make the side walk is 3360 ft³
In yards³ we know
1 cubic foot= 0.037037 yards cube
∴ 3360ft³=124.4444 yards³
Hence, The required volume of concrete in cubic yards to make the sidewalk is 124.4444 yards³
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The lengths of the four sides of a quadrilateral (in feet) are consecutive integers. If the perimeter is
86
86 feet, find the value of the longest of the four side lengths.
Answer:
23
Step-by-step explanation:
because consecutive integers, that means each one is longer than the previous one
length 1= x
length 2 = x+1
length 3 = x+2
length 4 = x+3
so 4x+6 =86
x = 20
longest =20+3 =23
F(x)=0.25x-2;H(x)=-F(x)
The solution to the function's operation of h(x) is -0.25x + 2.
What is a function?A function connects an element x to an element f(x) also known as (y) in another set. The domain of a function refers to the x-values and the range of the function is the set of values of f(x) i.e. (the y-values) that are produced by the values in the domain of the function, which is the set of values of x.
Given that:
f(x) = 0.25x - 2
h(x) -f(x)
We are going to simply replace the value of f(x) with h(x), i.e.
h(x) = -(0.25x - 2)
h(x) = -0.25x + 2
Therefore, we can conclude that the solution to the function's operation of h(x) is -0.25x + 2.
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2. Sarah and James are selling hot dogs and
hamburgers at the State Fair. Sarah sold 4 hot
dogs and 7 hamburgers for a total of $68. James sold 7 hot dogs and 3 hamburgers foratotal of
$67. How much do the hot dog and hamburger
cost?
Step-by-step explanation:
115 its rhe reuth i rhibk lol
Answer:
To find the cost of a hot dog and hamburger, we can set up a system of equations based on the information given. For example, let x be the cost of a hot dog and y be the cost of a hamburger. Then we have:
4x + 7y = 68 (equation 1)
7x + 3y = 67 (equation 2)
We can use substitution or elimination methods to solve the system of equations.
Substitution method:
Solve equation 1 for y in terms of x: y = (68 - 4x)/7
Substitute this expression into equation 2: 7x + 3((68 - 4x)/7) = 67
Simplifying and solving for x: 7x + 3(68 - 4x)/7 = 67
7x + 204 - 12x = 469
-5x = -401
x = 80
Substitute x = 80 back into equation 1: 4(80) + 7y = 68
320 + 7y = 68
7y = -252
y = -36
Therefore, the cost of a hot dog is $80, and the price of a hamburger is $-36 (which is not possible, it could be a typo or mistake in the given information)
Step-by-step explanation:
seven less than the product of 3 and a number is equal to 8 use the variable y for the unknown number
Answer:
y = 5
Step-by-step explanation:
3y - 7 = 8 Add 7 to both sides
3y - 7 + 7 = 8 + 7
3y = 15 Divide both sides by 3
y = 5
HELPP PLS FAST MATH MATH MATH
The answer to each part is given above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the functions as follows -
p(x) = - 5x + 5
q(x) = - 4x - 2
We can write -
(p о q)(5) = (- 5x + 5)(- 4x - 2)
(p о q)(5) = - 5x(- 4x - 2) + 5(- 4x - 2)
(p о q)(5) = 20x² + 10 - 20x - 10
(p о q)(5) = 20x² - 20x
(p о q)(5) = 20 x 25 - 20 x 5
(p о q)(5) = 500 - 100
(p о q)(5) = 400
(p о q)(5) = - 5x(- 4x - 2) + 5(- 4x - 2) = (q о p)(5) = 400
(q о p)(5) = 400
Therefore, the answer to each part is given above.
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Mother Money Bags has d dollar bills in her wallet. She splits the bills equally between her five kids, then gives each of them 3 more dollars in
change. If each child gets a total of $14, how many dollar bills did
Mother have in her wallet?
Answer:
Let's call the original number of dollar bills Mother had "d". Each child received d/5 + 3 dollars.
Since each child received $14, we have:
d/5 + 3 = 14
Multiplying both sides by 5, we get:
d + 15 = 70
Subtracting 15 from both sides, we get:
d = 55
So, Mother had 55 dollar bills in her wallet.
Estimate the area between the x-axis and the curve y = 2x' +1 on the interval (0, 2). Be sure to draw the correct picture for each approximation 5) Use a left hand approximation. a) Use 4 boxes b) Use 8 boxes
Using a left-hand approximation means that we will use the left endpoint of each interval to approximate the area under the curve.
a) Using 4 boxes:
The interval from 0 to 2 can be divided into 4 equal parts, so each part has a length of 0.5.
The height of each box will be the value of y at the left endpoint of each interval.
The area of each box can be calculated as follows:
For the first box, the left endpoint is (0, 1) and the height is 2(0) + 1 = 1. The area is 0.5 * 1 = 0.5.
For the second box, the left endpoint is (0.5, 2) and the height is 2(0.5) + 1 = 2.5. The area is 0.5 * 2.5 = 1.25.
For the third box, the left endpoint is (1, 3) and the height is 2(1) + 1 = 3. The area is 0.5 * 3 = 1.5.
For the fourth box, the left endpoint is (1.5, 4) and the height is 2(1.5) + 1 = 4.5. The area is 0.5 * 4.5 = 2.25.
The total area is the sum of the areas of all the boxes, so the total area is 0.5 + 1.25 + 1.5 + 2.25 = 5.
b) Using 8 boxes:
The interval from 0 to 2 can be divided into 8 equal parts, so each part has a length of 0.25.
The height of each box will be the value of y at the left endpoint of each interval.
The area of each box can be calculated as follows:
For the first box, the left endpoint is (0, 1) and the height is 2(0) + 1 = 1. The area is 0.25 * 1 = 0.25.
For the second box, the left endpoint is (0.25, 2.5) and the height is 2(0.25) + 1 = 2.5. The area is 0.25 * 2.5 = 0.625.
For the third box, the left endpoint is (0.5, 3) and the height is 2(0.5) + 1 = 3. The area is 0.25 * 3 = 0.75.
And so on, for all 8 boxes.
The total area is the sum of the areas of all the boxes, so the total area is 0.25 + 0.625 + 0.75 + ... + 3.375 = 5.125.
So, the area between the x-axis and the curve y = 2x + 1 on the interval (0, 2) can be approximated as 5 or 5.125 depending on the number of boxes used.
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