The dimensions of the rectangle are 25 by 4.12 feet
How to determine the dimensions of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Rectangle area = 103 square feet
The area of a rectangle is calculated as
Area = Length * Width
Assume the length is 25
So, we have
Area = 25 * Width
Substitute the known values in the above equation, so, we have the following representation
25 * Width = 103
Divide both sides by 25
Width = 4.12
Hence, the dimensions are 25 by 4.12 feet
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1/3 of a pint equals how many cups?
Answer: 0.6 (repeating 6) cups
Step-by-step explanation:
1 pint = 2 cups
1/3 pint = 2 divided by 3
2 / 3 = 0.6666…
Evaluate 4/2 for w = 3
Answer:
is 42 3 fraction
Step-by-step explanation:
Evaluate 4/2 for w = 3
Organize the following polynomial expressions from least to greatest based on their degree:
1. x+2 x y z
II. 3x+y+z
III. x^3 y+y^2 x-3 x+4
IV. 9x^3 y z
II, III, I, IV
III, I, IV, II
I, II, IV, III
II, I, III, IV
The correct order, from least to greatest, is: 2, 1, 3, 4.
Envision stem the roots of plants are often the largest part of the plant. winter rye can grow combined root tissue well over 984,000 feet in length. write this number in expanded form.
984,000 = 900,000 + 80,000 + 4000
Expanded form of 984,000:
984,000 = (9 * 10⁵) + (8 * 10⁴) + (4 * 10³)
= (9 * 100,000) + (8 * 10,000) + (4 * 1,000)
Therefore, the answer is,
∴, 900,000 + 80,000 + 4,000
Kay added the numbers 3.14, 4.2, and 1.6. She estimated the sum would be about 9, but her sum was 37.2. What could she have done wrong
Answer: 16
Step-by-step explanation:
So 0.9 + 0.8 + 0.2 is approximately 2.
Then, Add the two together ( 14 + 2 = 16
So then the answer would obviously be 16
Hope this helped ^^
Emily is single and has earned both qualified and nonqualified dividends this year. Her taxable income is $125,000. Using this
information and the tables provided, determine how much tax Emily will pay on each type of dividend.
Type the correct answer in each box. Use numerals instead of words.
Single Taxpayers: Income Brackets
Tax Rate
10%
12%
22%
24%
32%
35%
37%
Income Bracket
O to 9.525
9.526 to 38,700
38,701 to 82.500
82.501 to 157.500
157,501 to 200,000
200,001 to 500,000
>500,000
Single Taxpayers: Qualified Dividends
and Long-Term Capital Gains
Tax Rate
Income Bracket
0%
15%
20%
The tax rate on Emily's nonqualified dividends is
The tax rate on Emily's qualified dividends is
0 to 35,600
38,601 to 425,800
> 425,800
96. Her taxes on $500 in ordinary dividends will equal
96. Her taxes on $2,000 in qualified dividends will equal
The amount of tax paid is found applying the proportions, and the correct proportion is obtained from the table in the problem.
Her taxable income is given as follows:
$125,000.
Hence the tax proportions are given as follows:
Non-qualified: 24%, which is the rate from an income of $82,501 and $157,500.Qualified: 15%, which is the rate from an income between $38,601 and $425,800.Meaning that the taxes paid are given as follows:
$500 non-qualified: 0.24 x 500 = $120.$2000 qualified: 0.15 x 2000 = $300.More can be learned about proportions at https://brainly.com/question/24372153
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If f(x) = 3x+1 and f^-1 = x-1/3
Then f^-1(7)=
22
-2
2
The value of the inverse function [tex]f^{-1}(7)[/tex] is 2.
What is inverse of a function?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Let the given function is [tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
This means, inverse of 'f' is undo operator, that takes back the effect of 'f'
We are given that f(x) = 3x+1 and [tex]f^{-1} = x-\frac{1}{3}[/tex]
Then We can find it by plugging 7 in for x in the [tex]f^{-1}(x)[/tex].
So, [tex]f^{-1}(7)[/tex] = 7-1/3
[tex]f^{-1}(7)[/tex] = 6/3
[tex]f^{-1}(7)[/tex] = 2
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What was the second largest year-on-year increase for
females?
Average Cost (£GBP) of Car Insurance for
Males and Females over a 5 year period
789
638
Year 1
872
635
Year 2
Males
Years 1 to 2
854
Years 2 to 3
Years 3 to 4
742
Year 3
878
801
Year 4
Females
Please select the correct answer from the options shown.
890 873
Year 5
the second largest year-on-year increase for female is from year 4 to 5, which is 72.
What is bar graph?A bar graph is a graph that shows complete data with rectangular bars and the heights of bars are proportional to the values that they represent. The bars in the graph can be shown vertically or horizontally. Bar graphs are also known as bar charts and it is a pictorial representation of grouped data.
Given that, the average cost (£GBP) of car insurance for Males and Females over a 5-year period.
From the graph
The average cost (£GBP) of car insurance for Males
year 1: 789
Year 2: 872
Year 3: 854
Year 4: 878
Year 5: 890
The average cost (£GBP) of car insurance for Females
Year 1: 638
Year 2: 635
Year 3: 742
Year 4: 801
Year 5: 873
Increase in cost insurance from year 2 to 3 is 742-635 =107
Increase in cost insurance from year 3 to 4 is 801-742 =59
Increase in cost insurance from year 4 to 5 is 873-801 =72
Therefore, the second largest year-on-year increase for female is from year 4 to 5, which is 72.
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a student's grade is a weighted calculation as follows: homework is worth 25%, midterm exam is worth 30%, discussion is worth 15%, and final exam is worth 30%. if sam has the following averages, compute his grade.
84%
84,7%
81%
81,7%
A student's grade is a weighted calculation. Sam's grade is 83.07%
Suppose we have variables v1, v2, v3, ..., and their weights are: w1, w2, w3, ..., then the weighted average is computed by:
weighted average = v1 x w1 + v2 x w2 + v3 x w3 + ...
The following table shows the weighs and the score
Component weigh Score
Homework 25% 84%
Midterm exam 30% 84.7%
Discussion 15% 81%
Final exam 30% 81,7%
Sam's grade = 25% x 84% + 30% x 84.7% + 15% x 81% + 30% x 81.7%
= 83.07%
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at a roadside produce stand, nikki purchased 12 ears of corn and 3 quarts of strawberries for $20.70. Jarvis bought 10 ears of corn and 2 quarts of strawberries for $14.50. If Leslie bought 6 ears of corn and 4 quarts of strawberries, how much did she spend?
The cost of 6 ears of corn and 4 quarts of strawberries is $24.10.
How much did Nikki spend?The first step is to form a system of equations using the information in the question:
12a + 3b = 20.70 equation 1
10a + 2b = 14.50 equation 2
Where:
a = cost of one ear of corn
b = cost of one quart of strawberry
The elimination method would be used to solve the above equations.
Multiply equation 1 by 2 and equation 2 by 3
24a + 6b = 41.4 equation 3
30a + 6b = 43.50 equation 4
Subtract equation 3 from equation 4
6a = 2.1
Divide both sides of the equation by 6
a = 2.10 / 6
a = $0.35
Substitute for a in equation 1:
12(0.35) + 3b = 20.70
4.2 + 3b = 20.70
3b = 20.70 - 4.20
3b = 16.50
b = 16.50 / 3
b = $5.50
Cost of 6 ears of corn and 4 quarts of strawberries = (6 x 0.36) + (4 x 5.50) = $22 + 2.1 = $24.10
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Which of these is a factor in this expression?
524 −3+8 (y³ + 7)
O A. -3+8 (y + 7)
OB. 52-3
O c. (y³ + 7)
O D. 8 (y³ +7)
Option c) The factor in the expression is (y³ + 7).
What is a Factor ?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them.
An integer m that can be multiplied by another integer to create the number n is referred to as a divisor of an integer n, also known as a factor of n. One may also state that n is a multiple of m in this situation.
A factor is a number that is multiplied by another number to get the desired result. The answer to a multiplication puzzle is a product. Imagine multiplying the components in a multiplication problem to get the answer. For instance, the factors 2 and 4 add up to 8: Just two things or a great many factors can affect a number.
The function is
−3+8 (y³ + 7)
The factor that is in the option is (y³ + 7) . (option c)
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I need answers for all 4 questions please, I can give like 50 points for this
Answer:
Step-by-step explanation:
its a bit blured
A boy does
[tex] \frac{1}{4} [/tex]
of his homework exercises in the evening and
[tex] \frac{2}{3} [/tex]
of them in the next morning- He is still left with two exercises. How many exercises did he have for homework?
There were total 24 exercises for homework for the given fraction.
What is fraction?A fraction is referred to as a piece of a whole. Fraction is frequently used in both mathematics and daily life. The first civilization to use fractions was the ancient Egyptians. They applied it to issues with distributing food and supplies and other aspects of daily life.
The English word "fraction" is derived from the Latin word "fractus," which in English means "broken," and it is appropriate given the definition of fraction.
Lets take LCM of denominators 12
1/4 = 3/12
and
2/3 = 8/12
He completed his homework = 3/12 + 8/12
= 11/12
Remaining work = 1/12
remaining work = 2 exercises
1/12 = 2 exercise
1 exercise = 1/12 × 1/2
1 exercise = 1/24
Thus, there were total 24 exercises for homework.
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a simple random sample of size n is obtained from a population whose size is and whose population proportion with a specified characteristic is describe the sampling distribution of . round the standard deviation of the sampling distribution to three decimal places.
The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.
The mean of the sampling distribution is np and the standard deviation is [tex]$\sqrt{np(1-p)}$[/tex].
Sampling Distribution of a Simple Random SampleRound the standard deviation to three decimal places, it is [tex]$\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$[/tex].
The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is [tex]$\sqrt{np(1-p)}$[/tex]. This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).
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A boat rental service charges a 20 transportation fee and 15 dollars each hour to rebt a bout. Suppose you and your best friend plan to rent a boat for 6 hours. How much money will it cost to rent the boat?
Answer:
$110
Step-by-step explanation:
$20 + ($15/hr)(6 hr) = $110
Find the surface of the cylinder. USE 3.14 for pie
Pls look at the photo and help me out :( number 6! (5mm and 2mm) pls show step by step because I have to show my work! Will be marking brainelst and giving a lot of points.
The surface area of the cylinder is 87.92 mm²
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We need to find the surface area of cylinder.
The cylinder has radius of 2mm
Height of the cylinder is 5 mm
The surface area of cylinder=2πrh+2πr²
=2πr(r+h)
=2×3.14×2(2+5)
=12.56(7)
=87.92 mm²
Hence, the surface area of the cylinder is 87.92 mm²
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HELP
The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length.)
The side length of the equilateral triangle is 29 inches.
What is perimeter?
The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides. Area is the portion of the plane that a closed form occupies, whereas perimeter is the space surrounding the closed figure.
Here in equilateral triangle all side of the triangle is equal . Then
Perimeter of triangle = 3× side. = 3s
Now perimeter of square = 4×side = 4a
Here perimeter of an equilateral triangle is 9 inches more than the perimeter of a square
=> Perimeter of square = perimeter of triangle + 9
=> 4a = 3s+9 ---------> 1
Now side of the triangle is 5 inches longer than the side of the square.
=> s = a+5-------> 2
=> a = s-5 --------> 3
Now put 3 into 1 then,
=> 4(s-5) = 3s+9
=> 4s-20 = 3s +9
=> 4s-3s = 20+9
=> s = 29 inches.
Hence side length of the equilateral triangle is 29 inches.
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What is the value of cosC?
The value of cosC is equal to 0.866025.
What is is value?Value is the worth of something in terms of the amount of money or goods for which it can be exchanged or in terms of its importance or usefulness. It can also refer to the moral principles or qualities that are seen as desirable and important in life. It is an important concept in economics, philosophy, and psychology.
The value of cosC is equal to the cosine of the angle C, which is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle. CosC is a trigonometric function, which is commonly used in mathematics to solve problems involving angles and triangles. For instance, if the angle C is 30 degrees, then the value of cosC is equal to 0.866025.
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Implement pseudocode for calculating a running average of numbers. While the user continues to input numbers (e.g. in a loop), keep the running average. When the user stops, emit the average of the numbers input.
The running average is calculated by dividing the sum of all the input numbers by the number of inputs. Here is the Pseudocode:
Initialize variables: sum = 0, count = 0Start a loop that continues until the user stops inputting numbersWithin the loop, prompt the user to enter a numberAdd the number to the sum and increment the count by 1Calculate the running average by dividing the sum by the countContinue the loop until the user stops inputting numbersWhen the loop ends, emit the final average by dividing the sum by the countThe pseudocode above outlines the steps for calculating a running average of numbers input by the user. The running average is calculated by dividing the sum of all the input numbers by the number of inputs. The loop continues until the user stops inputting numbers, at which point the final average is emitted by dividing the sum by the count. This allows the user to input any number of numbers and continuously see the running average as they go.
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A certain car cost c dollars in August. In September, the price was cut by 20 percent. In October, the price increased by 40 percent of the previous month’s price. The price of the car at the end of October was what percent of the price in August?
The price of car in October with respect to August is given as 112%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Suppose the price in August be c.
Then, in September it is given as,
⇒ c - 20% × c = 4/5c
And, in October it is given as,
⇒ 4/5c + 40% × 4/5c = 28/25c
The price in October with respect to August can be obtained in percent value as follows,
Price in October ÷ Price in August × 100
⇒ 28/25c ÷ c × 100 = 112%
Hence, the price in October is 112% of the price in August.
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-6x^3+7x^2+3 entre 2x-3
Help!
The solution to the polynomial division is; -3x² - x - ³/₂ + (- ³/₂)/(2x - 3)
How to carry out polynomial long division?We want to use polynomial long division to divide -6x³ + 7x² + 3 by 2x - 3.
A long division polynomial is defined as an algorithm that is used to divide a polynomial by another polynomial of the same or a lower degree.
Thus, we have;
-3x² - x - ³/₂
2x - 3| -6x³ + 7x² + 3
- -6x³ + 9x²
-2x² + 3
- -2x² + 3x
-3x + 3
-3x + ⁹/₂
- ³/₂
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What is the dollar amount of the gentry’s annual transportation and taxes combined?
Proportionately, the dollar amount of the Gentrys' annual transportation and taxes combined is $11,004.70.
What is proportion?Proportion refers to the relative value of a number compared to another amount.
Proportions are ratios equated to one another.
Multiplying the proportional percentage of the combined transportation and taxes to the total budget of the Gentrys gives the dollar amount.
Yearly income for the Gentrys = $29,742.42
Percentage of income that is taxes = 28%
Percentage of income that is transportation = 9%
Combined percentage of taxes and transportation = 37% (28 + 9)
Combined transportation and taxes in dollars = $11,004.70 ($29,742.42 x 37%)
Thus, based on their proportional percentages, the Gentrys' combined annual transportation and taxes are $11,004.70.
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as x-∞, f(x) →-∞ and as x-∞, f(x) → -∞
as x-∞, f(x) → ∞ and as x-∞, f(x) → ∞
as x=-∞, f(x) → ∞ and as x-∞, f(x) → ∞
as x=-∞, f(x) - ∞ and as x - ∞, f(x) → ∞
The end behavior of the graph is given as
as x → - ∞, f(x) → -∞ and as x → ∞, f(x) → -∞
What are end behaviors?The term end behavior is used to describe the effects a function or graph has as the extremes.
The end behavior of function typically says the characteristics of the function at the ends
The end behavior of the graph of the given graph is deduced to be
as x tends to negative infinity (∞), f(x) tends to negative infinity -∞
as x tends to positive infinity ∞, f(x) tends to negative infinity -∞
x ⇒ -∞ f(x) ⇒ -∞
x ⇒ ∞ f(x) ⇒ -∞
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3) ΔWXY is an isosceles triangle with WX = WY. If WX is 3 more than four times x, xy is 7 less than five times x, and Wy is 66 less than seven times x, find x and the measure of each side.
4) Graph ΔDEF, then classify the triangle.
(a) D(8,-6) E(-1,-3) F(-2,5)
The variable values and measures of the side lengths of the isosceles triangle and type of triangles are;
3) x = 23, WX = WY = 95, XY = 108
4) (a) Triangle ΔDEF is a scalene triangle
(b) Triangle ΔDEF is an isosceles right triangle
What is an isosceles triangle?An isosceles triangle is a triangle that has a two sides of the triangle which are congruent.
The specified parameters are;
[tex]\overline{WX} \cong \overline{WY}[/tex]
WX = 3 + 4·x
XY = 5·x - 7
WY = 7·x - 66
[tex]\overline{WX} = \overline{WY}[/tex], definition of congruency
3 + 4·x = 7·x - 66, by the substitution property
7·x - 4·x = 66 + 3 = 69
3·x = 69
x = 69 ÷ 3 = 23
x = 23
The length of each side are;
WX = 3 + 4 × 23 = 95
WX = 95
WY = WX = 95
XY = 5 ×23 - 7 = 108
4) The lengths of the sides of the triangle are;
(a) DE = √((-1 - 8)² + (-3 - (-6))²) = √(90) = 3·√(10)
EF = √((-2 - (-1))² + (5 - (-3))²) = √(65)
DF = √((-2 - 8)² + (5 - (-6))²) = √(221)
The length of the sides of the triangle ΔDEF are all different, indicating the triangle is a scalene triangle. ΔDEF
(b) (a) DE = √((5 - (-2))² + (5 - 3)²) = √(53)
EF = √((5 - (-4))² + (5 - 10)²) = √(106)
DF = √((-4 - (-2))² + (10 - 3)²) = √(53)
The length of DE is congruent to DF
[tex]\overline{DE}[/tex]² = 53
[tex]\overline{DF}[/tex]² = 53
[tex]\overline{EF}[/tex]² = 106
53 + 53 = 106
Therefore;
[tex]\overline{DE}[/tex]² + [tex]\overline{DF}[/tex]² = [tex]\overline{EF}[/tex]²
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m - 6 = -15 solve for m
Answer:
[tex] \sf \: m = - 9[/tex]
Step-by-step explanation:
Given equation,
→ m - 6 = -15
Now the value of m will be,
→ m - 6 = -15
→ m = -15 + 6
→ [ m = -9 ]
Hence, the value of m is -9.
What is the y'intercept of the line given by the equation y = 5x + 16? !!!!
Considering the expression of a line, the y-intercept of the line given by the equation y=5x +16 is 16.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Slope in this caseIn this case, you know that the line is y=5x + 16
where:
the slope is 5.the ordinate to the origin is 16.Finally, the y-intercept is 16.
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I need the slope of the line please
Find the slope of the line.
Answer:
m = -6/5
Step-by-step explanation:
(-2, 4) and (3, -2)
m = -2-4/3+2
m = -6/5
Final Answer:
-6/5In-depth explanation:
Hi! The question is asking us to find the slope of the line.
We're given two points that the line passes through:
(-2,4) and (3,-2)
We can use the slope formula to find the slope:
[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where:
[tex]\bf{m=slope}[/tex][tex]\bf{x_1}[/tex] is the x-coordinate of the first point[tex]\bf{x_2}[/tex] is the x-coordinate of the second point[tex]\bf{y_1}[/tex] is the y-coordinate of the first point[tex]\bf{y_2}[/tex] is the y-coordinate of the second pointPlug in the data:
[tex]\bf{m=\dfrac{-2-4}{3-(-2)}}[/tex]
[tex]\bf{m=\dfrac{-6}{3+2}}[/tex]
[tex]\bf{m=\dfrac{-6}{5}}[/tex]
[tex]\bf{m=-\dfrac{6}{5}}[/tex]
Therefore, the slope of this line is -6/5.
What are the coordinates of the vertex of the parabola y = x2 - 2x - 1?
Answer:
(1, -2)
Step-by-step explanation:
You want the coordinates of the vertex of the parabola defined by ...
y = x² -2x -1Vertex formWe can add and subtract the square of half the x-coefficient to put the equation in vertex form:
y = x² -2x -1
y = x² -2x +(-2/2)² -1 -(-2/2)²
y = (x² -2x +1) -1 -1
y = (x -1)² -2
Comparing this to the vertex form equation ...
y = (x -h)² +k . . . . . . parabola with vertex (h, k)
we see that the vertex is ...
(h, k) = (1, -2)
The coordinates of the vertex are (1, -2).
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3. The_____of an investment is measured by the variance or, more commonly, the standard deviation of its return.
A. total risk B. systematic C. risk diversified S. risk total return
The total risk of an investment is measured by the variance or, more commonly, the standard deviation of its return. Therefore, the correct answer option is: A. total risk.
What is risk management?In Economics, risk management can be defined as a strategic process which involves the identification, evaluation, analysis and control of potential threats (risks) that are present in a business, project, or system, as an obstacle to its capital, revenues, success, and profits.
What is rate of return?In Business management, rate of return can be defined as a net gain (profit) or loss that is associated with an investment over a specified period of time, and it is usually expressed as a percentage of the initial cost of an investment.
In conclusion, the standard deviation or variance of its return is typically used for measuring the total risk of an investment.
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Identify a, b and c from the quadratic trinomial x^2-5x+6
By comparing the given equations we get the values a= 1 b = -5 and
c = 6
What is Quadratic equation ?
Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0
where c is constant.
a is the coefficient of x^2
b is the coefficient of x .
Given ,
Quadratic equation is x^2 - 5x + 6
So, the quadratic equation is always be in the form of ax^2+bx+c
and from above we can see that it is in the given form .
So,
By comparing both equations x^2 - 5x + 6 and ax^2+bx+c
So,
we get,
a = 1
b = -(5)
b = -5
c = 6
So, By comparing the given equations we get the values a= 1 b = -5 and
c = 6
To learn more about Quadratic equation from the given link.
https://brainly.com/question/30098550
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