On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2). The magnitude of the vector is 5
How did we get the value?The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences of the x and y components. In this case, the x component is 3 and the y component is 2, so the magnitude can be calculated as follows:
√(3^2 + 2^2) = √(9 + 4) = √(13) = 5
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Answer:
its D
Step-by-step explanation:
on edge
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Double-Declining-Balance
Depreciation
A building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.
Determine the following.
(a) The double-dedining-balance rate
(b) The double-declining-balance
depreciation for the first year
%
a) The double-declining-balance rate is 0.5 or 50%.
b) The double-declining-balance depreciation for the first year is $53800.
What is depreciation?
Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.
The formula of the double-declining-balance rate is 2 × (1/useful life)
Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.
The double-declining-balance rate is
= 2 × (1/4)
= 0.5
= 50%
The double-declining-balance depreciation for the first year is
$107,600 × 50%
= $107,600 × (1/2)
= $53800
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3. Find the slope between
the two given points. Find
the y-intercept and write the
equation of the line
(-2, 10),(-2,- 15)
Answer:
Step-by-step explanation:
The slope of a line can not be found between two points with the same x-coordinate, as division by zero is undefined. Hence, the line defined by the points (-2,10) and (-2,-15) is a vertical line and has no slope.
The y-intercept of a line is the point at which the line intersects the y-axis, i.e., the value of y when x=0. A vertical line does not intersect the y-axis, hence it has no y-intercept.
Since the line has no slope or y-intercept, its equation can not be written in the standard form of y = mx + b, where m is the slope and b is the y-intercept. Instead, the equation of the line can be written as x = constant, where constant is the x-coordinate of the points on the line, i.e., x = -2.
Rewrite the equation 4x + 5x^2 -7x in standard form and identify a, b, c
the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given a quadratic equation 4x + 5x^2 -7x
From the Standard form of a quadratic equation:
ax²+bx+c=0
In our case,
=> 4x + 5x^2 -7x
=> 5x² -3x
Comparing both equations we get the:
z = 5
b = -3
and c = 0
Therefore, the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0.
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Add the polynomials 6x+2 +6x-5
Answer: The answer is 12x-3
Mathmatics for Calculus
The value of function for f'(2) is 0.22.
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
Given that, f(x)= √(x+3) at the specific point x=2.
f'(2)= [tex]\lim_{h \to \ 0}[/tex]((f(2+h)-f(2))/h)
Find the derivative using the chain and power rules.
[tex]f(x)=(x+3)^{\frac{1}{2} }[/tex]
f'(x) = [tex]\frac{1}{2(x+3)^{\frac{1}{2} }}[/tex]
f'(2)= [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]
f'(2)= [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]
f'(2)= 1/2√5
f'(2)= 1/4.47
f'(2)= 0.22
Therefore, the value of function for f'(2) is 0.22.
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This would be the third time I got this wrong pls help
Answer:
[tex]3 {x}^{4} - 6 {x}^{3} - 21 {x}^{2} - 2x + 8[/tex]
Step-by-step explanation:
One root being i, an imaginary number is throwing me off.. but I can give it a shot if youd like.
So a coefficient is the number Infront of the X. so for 6X^2, the coefficient is 6.
It says the Leading Coefficient is 3. The one option for that is 3x^4, so that will be the in the first blank.
The exponents now (the little numbers) start with 4 and go down 1 after each block. Which means the last two blocks will have no little numbers since it would be 1 and 0. Those don't need exponents.
For the block after the 21x^2, we have two choices. Either 6x or 2x
For the last block we have two choices also.
8 or 24
To find if it's 6x or 2x...
Its showing roots of -2, i, and 4 with multiplicity of 1, which means
x^2-4x+2x+8
x^2-2x+8
We have 2x and 8
Those must be the other two blocks
Frederick deposit 1050 into account that pays 5.1% annual interest compounded daily enter an equation to represent Fredericks account balance after t years
Answer:
The equation to represent Frederick's account balance after t years is:
A = 1050 * (1 + (0.051/365))^(365t)
Where A is the account balance and t is the number of years.
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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You handle schedules for a department store. On average, seven cashiers and ten floor assistants can take care of 84 customers per hour in a ten hour day. Tomorrow is a holiday and the store managers are expecting 2940 customers due to a mailing. If the cashiers work in five hour shifts and floor assistants work in ten hour shifts, how many employees will need to work tomorrow?
Answer:
the total number of employees needed is 35 cashiers + 100 floor assistants = 135 employees.
Step-by-step explanation:
May you help me please with this homework for Math?
The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)
is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.
We know that, rule of reflection over y-axis,
(x, y) → (-x, y)
Q' = (3, 1)
R' = (-8, -2)
S' = (-7, -7)
T' = (-2, -6)
Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
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In the figure, AABC~ ADEF. If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, what is AB?
AB=
B
E
D
(Express your answer as a decimal.)
Answer:
If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, then AB = 8.
Step-by-step explanation:
jim sells cars for a living in 3 months he sells 24 cars which option below shows a proportional relationship
A:Selling 2 cars in 1 month
B:Selling 5 cars in 1 month
C:Selling 16 cars in 2 months
D:Selling 94 cars in 1 year
The option that shows a proportional relationship is selling 94 cars in 1 year (option D)
What is proportional?Two numbers or elements are said to be proportional if they have the same ratio. In this case, the ratio is 24 cars every 3 months, which can be simplified as 8 cars per month.
What option shows a proportional ratio?Based on this ratio, the option that is proportional is selling 96 cars in a year because this will means 96 cars in 12 months and 96/12= 8, which shows the ratio is the same.
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How can coordinate in geometry be used to write equations of lines? (10 points)
How can coordinate geometry be used to prove general relationships about quadrilaterals? (10 points)
How can coordinate geometry be used to prove general relationships about rhombus? (10 points)
1) In geometry, the coordinate is used as to write the equations of lines as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
2) By showing that the opposite sides of the quadrilateral are congruent.
3) To prove the figure is a rhombus you must verify that all sides are the same length.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
1) Let two points on the line are (x₁ , y₁) and (x₂, y₂).
Then, The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
2) We know that;
Opposite angles in a quadrilateral are congruent, and Parallel lines have congruent corresponding angles.
Hence, In coordinate geometry, By showing that the opposite sides of the quadrilateral are congruent.
3) In coordinate geometry, To prove that it is a rhombus, remember that the definition of a rhombus is a quadrilateral with four congruent sides. Therefore, to prove it is a rhombus you must verify that all sides are the same length.
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Consider the complex number -i√5.
What is the imaginary part?
The Imaginary part is [tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]
What is complex number?A complex number can be represented in the form a + bi, where a and b are real numbers. A complex number is a part of a number system that extends the real numbers by adding an element designated by the symbol.Mathematical Complex Numbers. Complex numbers are those expressed as a+ib, where a, b are real numbers and I is a fictitious number called a "iota." I is equal to (-1). A complex number is, for instance, 2+3i, where 2 is a real number (Re) and 3i is an imaginary number (Im).Real and imaginary components are combined to form complex numbers, which have two elements. The foundation of more complex mathematics, like algebra, are complex numbers. They are applicable to a wide range of real-world situations, particularly in the fields of electronics and electromagnetism.[tex]& \frac{5+2 i}{-1+\sqrt{3} i} \times \frac{-1-\sqrt{3} i}{-1-\sqrt{3} i} \\[/tex]
[tex]& =\frac{-5-5 \sqrt{3} i-2 i+2 \sqrt{3}}{4} \\[/tex]
[tex]& =\frac{-5+2 \sqrt{3}}{4}+i\left(\frac{-5 \sqrt{3}-2}{4}\right) \\[/tex]
Imaginary part
[tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]
The complete question is,
Find the imaginary part of 5+2i/-1+√3i
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The complex number -i5 has -i5 as its imaginary component.
What is the imaginary part in given terms?The given complex number is -i√5, which can be written as:-i√5 = 0 - i√5The imaginary part of the complex number is -i√5.Here's a step-by-step explanation:A complex number having the real part and the imaginary part.The real part is the coefficient of the real unit (i.e., 1), while the imaginary part is the coefficient of the imaginary unit (i.e., i).In this case, the given complex number is -i√5.We can write this as 0 - i√5, where 0 is the real part and -i√5 is the imaginary part.Therefore, the imaginary part of the complex number -i√5 is -i√5.
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The perimeter of the figure is 15 feet.
Find the missing side length.
4 ft
?
3 ft
3 ft
Add a phrase to the shape's perimeter to get the side length that is missing.The total length of all of a shape's sides makes up the shape's perimeter.
How do you find the missing side length of a perimeter ?Add a phrase to the shape's perimeter to get the side length that is missing.The total length of all of a shape's sides makes up the shape's perimeter.The sides' known lengths are added.The side length that makes the addition sentence true can be found.The lengths of a rectangle's four sides should be added to determine its perimeter.You can locate all four sides quite quickly if you only know the width and height (two sides are each equal to the height and the other two sides are equal to the width). Add the outcomes after multiplying the height and breadth by two.
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The missing side length of perimeter of the figure is 15 feet is 5.
How do you calculate a perimeter's missing side length?To get the length of the missing side, subtract the perimeter from the total of the known sides. Advice: Consider it. The whole and one component are both known. You deduct the known portion from the total to determine the missing component.
Since there are two of each side length, it is easy to do this by simply adding the length and breadth and multiplying the result by two. The perimeter formula is defined as
perimeter=(length + width)2.
or
add all sides
4 + 3+ 3+ x = 15
10 +x = 15
x = 15 -10 = 5
x = 5
The missing side length of perimeter of the figure is 15 feet is
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Billy needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted? Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm, and its base is 3 cm.
A. 7.5 cm 2
B. 15.0 cm2
C. 19.5 cm2
D. 39.0 cm2
system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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Four more than twice a number is equal to ten.
Answer:
2,6,7,8,9 because if doubled it should equal more than ten
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Quick ratio
Adieu Company reported the following current assets and current liabilities for two recent years:
Dec. 31, 20Y4 Dec. 31, 2013
Show Me How
Cash
Temporary investments
Accounts receivable
$750
1,100
850
Inventory
2,300
Accounts payable
1,800
a. Compute the quick ratio on December 31 for each year. Round to one decimal place.
2014
20Y3
$1,180
1,400
920
2,500
2,500
b. Is the quick ratio improving or declining?
Improving
V
On December 31 of each year, the quick ratio is 1.6. According to the above computation, the quick ratio is improving.
Which quick ratio is ideal?A good fast ratio is often anything greater than 1 or 1:1. If the ratio is 1:1, the company's liquid assets and current liabilities are equal in amount. A greater ratio means the business could more than cover its current liabilities.
The quick ratio calculation is displayed below:
For the present year
Current liabilities minus Quick Assets is the Quick Ratio.
= ($1,000 + $1,200 + $800) ÷ $1,875
= $3,000 ÷ $1,875
= 1.6
For Previous yearCurrent liabilities minus Quick Assets is the Quick Ratio.
=($1,140 + $1,400 + $910) ÷ $2,300
= $3,450 ÷ $2,300
= 1.5
b. according to the above computation, the quick ratio is improving.
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Julio’s car can travel 300 miles on one 12-gallon tank of gas. Viet’s car uses gas as described by the equation m=13g
, where m is the miles traveled and g is the gallons of gas used. Which statement is true?
The true statement is "viet's car can uses 13 gallons of gas for every miles it travels.
The correct answer choice is option B.
Which statement is true?Julio's car:
m = k × g
Where,
m = miles traveled
g = gallons of gas used
m = k × g
300 = k × 12
300 = 12k
divide both sides by 12
k = 300/12
k = 12
So,
m = 12g
Viet's car:
m=13g
Therefore, the correct statement is viet's car uses 13 gallons of gas for every mile.
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Step-by-step explanation:
please make me brainalist and keep smiling
This table represents function f. If function g is a quadratic function that contains the points (-3, 5) and (0, 14), which statement is true over the interval [-3, 0] A. The average rate of change of f is more than the average rate of change of g. B. The average rate of change of f is less than the average rate of change of g. C. The average rate of change of f is the same as the average rate of change of g. D. The average rates of change of f and g cannot be determined from the given information.
Answer:
D. The average rates of change of f and g cannot be determined from the given information.
Step-by-step explanation:
To determine the average rate of change of a function, we need the equation of the function. Since the equation of g is not given, we cannot determine the average rate of change of g and compare it with the average rate of change of f. Hence, option D is the correct answer.
A square pyramid is shown with a base length of 4 inches and a slant height of 10 in
A .36in2
B.96in2
C.160in2
D.176in2
The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;
B. 96 in²
What is the surface area of a figure?The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.
The description of the shape in the figure = Square pyramid
Side length of the square base of the square pyramid = 4 inches
Base length of the triangular slant faces = Side length of the square base = 4 inches
Height of the triangular faces = 10 inches
The surface area of the square pyramid is therefore;
Sum of the area of the four triangular faces + Area of the square base
Area of one triangular face = (1/2) × 4 × 10 = 20
Area of the square base = 4 × 4 = 16
The total surface area of the square pyramid is therefore;
A = 4 × 20 in² + 16 in² = 96 in²
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f(x)=1/x to g(x)=1/5x transformation
The transformation from the function f(x)=1/x to g(x)=1/5x can be achieved by multiplying the input value x by 5.
f(x)=1/x becomes g(x)=1/(5x) after the transformation
What is mathematical transformation?A mathematical transformation is a function that maps one set of values (input) to another set of values (output) based on a set of rules or operations. Transformations can be used to manipulate geometric figures, to change coordinate systems, to map one image to another, and more. Common examples of mathematical transformations include translation, rotation, scaling, and reflection.
It could then be concluded that the transformation is achieved by multiplying the input value x by 5.
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The complete question goes thus:
Describe the f(x)=1/x to g(x)=1/5x transformation
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=-3x+5. Complete the other equation in the
form y = mx + b if its graph has a slope of 1.
The other equation in the form y = mx + b is y = x + 3
How to complete the equation of the other lineFrom the question, we have the following parameters that can be used in our computation:
y = -3x + 5
y = mx + b has a slope of 1
So, we have
y = x + b
The point where the graphs of two equations intersect has y-coordinate 2.
So, we have
3x + 5 = 2
x + b = 2
Eliminate x
So, we have
3b - 5 = 6 - 2
Evaluate
3b = 9
So, we have
b = 3
hence, the equation is y = x + 3
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Write down the correct Subject Pronoun Requested in Spanish first then in English.
Primera persona plural femenina - First person plural feminine
The subject pronoun requested would be they and in Spanish would be "ellas".
What pronouns are feminine in Spanish?In the Spanish language, there are two feminine pronouns that are often used as subjects in sentences, these pronouns are:
Ella - This is a singular pronoun equivalent to she
Ellas - This is a plural pronoun equivalent to "they", but again it is exclusively used for feminine nouns such as a group of women.
Based on this, the pronoun you are looking for is the pronoun "ellas", here is an example of how to use it: Ellas son amables.
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Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra
The solution for the given equation is 15. Therefore, Nico, Raj and Sandra are correct.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 2/5 (5+x)=8
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Method 1:
Now, 2(5+x)=40
5+x=20
x=15
Method 2:
Multiply 5/2 on both the sides of an equation, we get
2/5 (5+x)×5/2 =8×5/2
5+x=20
x=15
Therefore, Nico, Raj and Sandra are correct.
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"Your question is incomplete, probably the complete question/missing part is:"
Nico, Aditi, Erick, Raj, and Sandra are solving the equation.
Two-fifths (5 + x) = 8
Each student begins to solve the problem as shown.
Nico
Aditi
Erick
Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves)
Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8
Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5
Raj
Sandra
Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half)
Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8
Which students are correct in their approach to solving the problem? Select three options.
Nico
Aditi
Erick
Raj
Sandra
If f(x) is a function which is continuous everywhere then we must have m= ?
The function is continuous only if m = 7.
How to find the value of m?If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2
That means that:
f(-2) = f(-2) (trivially)
Replacing the two pieces of the function we will get:
m*(-2) - 6 = (-2)^2 + 10*(-2) - 4
now we can solve that equation for m.
-2m - 6 = 4 -20 - 4
-2m = -20 + 6 = -14
m = -14/-2 = 7
m = 7
that is the value of m.
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100 parking spaces on the lot. how many spaces were full if 70% of the lot was being used
Answer:
70 parking spaces were full.
Step-by-step explanation:
To calculate this, multiply the total number of parking spaces (100) by the percentage of the lot being used (70%):
100 * 0.70 = 70
I have attached the screen shot of the problem
Answer:
(7x+3)
Step-by-step explanation:
x4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
The sum of given polynomial is x⁴+x³+4x²-5x-8.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
The given polynomials are x⁴-3x + 1, 4x²-2x+8, and x³-9.
Here, x⁴-3x + 1+4x²-2x+8+x³-9
= x⁴+x³+4x²-3x-2x-9+1
= x⁴+x³+4x²-5x-8
Therefore, the sum of given polynomial is x⁴+x³+4x²-5x-8.
Learn more about the addition of algebraic expressions here:
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"Your question is incomplete, probably the complete question/missing part is:"
Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.
x⁴-3x + 1, 4x²-2x+8, and x³-9