180-93=87..... Exterior angles of a triangle
What function type does the graphed data points represent?
A)
Exponential
B)
Can't be determined
C)
Linear
D)
Quadratic
Answer:
What function type does the graphed data points represent?
D, quadratic
The function will be "quadratic" which represents graphed data points. which is the correct answer would be an option (D).
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The series of x-values into the function and solving for y. You can use any values you like, but it is often helpful to start with a small range of x-values around the vertex and then expand the range as needed.
Plot the points from the table on a coordinate grid, using the x-values as the horizontal axis and the y-values as the vertical axis.
Connect the points with a smooth curve to complete the graph of the quadratic function.
Therefore, the function, which represents graphed data points, will be quadratic.
Hence, the correct answer would be an option (D).
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Find the direction angle of the vector u=-8i+5j. That is, find the angle between 0 degrees and 360 degrees that u makes with the positive x-axis
we have the vector
u=-8i+5j
see the attached figure to better understand the problem
tan(x)=5/8
x=tan^-1(5/8)
x=32 degrees
Find out the angle theta
148 degrees
the answer is 148 degrees
sovle 3,4,6 pls and thank you and i will mark you Brainliest
Answer:
3)
\((-4^{6})^{-2} \\=-4^{-12} \\=\frac{1}{-4^{12} }\)
4)
\((-12^{3})^{4} \\= -12^{12}\)
6)
\((-x^{-13})^{2} \\= -x^{-26}\\= \frac{1}{-x^{26} }\)
In order to solve the equation −3x − 6 = 5, the first step is to
1) subtract 6 from both sides
2) multiply by 5 on both sides
3) add 6 to both sides
4) divide by 5 on both sides
Answer:
3) add 6 to both sides
Brainliest if this was helpful
Answer:
The previous answer is correct
Step-by-step explanation:
the multiplying factor to convert peak values to rms values is ____.
Step-by-step explanation:
.7071 is the value to convert peak to RMS
Suppose that you invest $15,000 into a high yield savings account that earns 2.1\% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 8 years? Show your equation. Round your answer to the nearest cent. (5 Points )
Answer:
$17741.44Step-by-step explanation:
Given:
Investment P = 15000Interest rate r = 2.1% PA or 0.021 PACompound number n = 12 PATime t = 8 yearsFind the total amount:
A = P(1 + r/n)^(rn)A = 15000(1 + 0.021/12)^(8*12) = 17741.44MP Critique Reasoning Cindy says that both quadrilaterals shown have
the same area because the sum of their bases is the same. Mark says that
the parallelogram has a larger area than the trapezoid. Who is correct?
Why?
5 in.
3 in.
7 in.
Cindy is correct. The height of the parallelogram is equal to the height of the trapezoid. Let h represent the height. The area of the parallelogram is 5h. The area of the trapezoid is 10h divided by 2 or 5h.
How to calculate the area of this parallelogram?In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:
Area of a parallelogram, A = b × h
Where:
b represents the base area of a parallelogram.h represents the height of a parallelogram.Area of a parallelogram, A = b × h
Area of a parallelogram, A = 5 × h
Area of a parallelogram, A = 5h square inches.
Area of trapezoid, A = ½ × (a + b) × h
Area of trapezoid, A = ½ × (3 + 7) × h
Area of trapezoid, A = 10h/2 or 5h inches.
Therefore, only Cindy is correct.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The graph of y = |x| is transformed as shown in the graph below. Which equation represents the transformed
function?
S
4 +
3+
2+
1+
-S4 -3 -2 -1
1
3
4
S
-2 +
-3 +
OY-
y-
oy-12x1
The equation of the transformed function is: \(y = |\frac 14x|\)
The equation of the function (i.e. the graph) is given as:
y = |x|
The function is then stretched horizontally by a factor of 1/4.
So, we have:
\(y = |\frac 14x|\)
Hence, the equation of the transformed function is: \(y = |\frac 14x|\)
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The equation of the transformed function is: y = |1/4x|
What is function transformation?A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformation.
Translation
Dilation
Reflection
Given is an equation of the function graph is given as:
y = |x|
We need to find the transformed function, whose graph is shown,
According to the graph we see,
The function is then stretched horizontally by a factor of 1/4.
So, we have:
y = |1/4x|
Hence, the equation of the transformed function is: y = |1/4x|
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A pendulum swings 80cm on its first swing,76cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth swing what is the distance of the swing at the tenth swing?
The distance of the swing of a pendulum decreases by a constant amount each swing. To find the distance of the swing at the tenth swing, you can use the formula:
distance at nth swing = distance at first swing * (1 - decay factor)^(n-1)
Where decay factor is the fractional decrease in distance per swing. In this case, the decay factor is (80 - 76) / 80 = 0.05. Plugging this into the formula above, we get:
distance at 10th swing = 80 * (1 - 0.05)^9 = 53.78 cm
So the distance of the swing at the tenth swing is approximately 53.78 cm.
i don’t understand this question can someone help please
Combine the like terms and simplify the expression.
Write 2/5 and 1/4 with the same denominator
Answer:
Make the denominators equal by L.C.M
--> 8/20 + 5/20
--> 13/20
this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed
Answer:
2 m/s or 7.2 km/h
Step-by-step explanation:
Time = 50 seconds
Distance = 100 meters
Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h
\(\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ \)
\( \large \purple{ \rm{Given↦}}\)
Distance by road from their house to the school is 100 m.Time Given 50 sec\(\rule{70mm}{2.2pt}\)
\( \large \purple{ \rm{To \: find↦}}\)
Carlos speed\(\rule{70mm}{2.2pt}\)
\( \large \purple { \rm{Assumption↦}}\)
let the speed be x\(\rule{70mm}{2.2pt}\)
\( \large \purple { \rm{ To \: find \: speed \: we \: use↦}}\)
\( {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}\)
\(\rule{70mm}{2.2pt}\)
\( \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}\)
\( \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }\)
\(\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}\)
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The city plans a new road that will be parallel to Village Way and pass through the intersection of Gray Dr and Canon Rd. What is the equation of the road in slope-intercept form?
The equation line of the of the road in slope-intercept form is; y = 2·x - 10
What is the standard form of the equation of a line?The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.
The parameters for the new road are;
The road will be parallel to village way with points (0, 5), and (-4, -3)
The road will pass through the intersection of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)
Required; The equation of the road
Since the new road is parallel to Village Way, which has slope;
m = (5 - (-3))/(0 - (-4)) = 8/4 = 2
The slope of the new road will also be 2.
Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);
y - (-4) = 2 × (x - 3)
y = 2·x - 6 - 4 = 2·x - 10
y = 2·x - 10
Therefore, c = -10
Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10
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- 2x - 9. FG - 3x - 12, and BG - 19. find the values of x, EF, and FG. The drawing is not to scale.
E
G
a
Oь
x=3. EF = 7. FG = 12
x = 8, EF = 25, FG = 36
x= 3, EF=-3, FG=-3
x= 8, EF = 7, FG = 12
Oc
Od
A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.
Answer:
2 x plus 3 y equals 26. X plus 4 y equals 18
Step-by-step explanation:
Number of tiles, = x
Number of pints of paint, = y
Store 1:
Cost per tile = $2 ; cost per pint = $3 ; total cost = $26
Store 2 :
Cost per tile = $1 ; cost per pint = $4 ; total cost = $18
System of equation:
2x + 3y = 26 - - - (1)
x + 4y = 18 - - - - - (2)
Solve 7 x 3 and 1/5 A. twenty two and one fifths B. twenty two and two fifths C. twenty two and three fifths D. twenty two and four fifths
The expression "7 x 3" can be simplified by performing the multiplication:
7 x 3 = 21. The expression "1/5 A" cannot be simplified without knowing the value of A. Therefore, we cannot determine the answer to this question without additional information.
What is expression?A set of numbers, variables, and arithmetic operations that can be evaluated or squeezed together is known as an expression in mathematics. Although expressions come in a variety of shapes, they are always constructed using the fundamental components of numbers and mathematical operations including addition, subtraction, multiplication, division, exponents, and roots.
A mathematical expression can be as simple as a single value, such as "5" or "x," or it can be more complex, such as "2x + 3." In this instance, the terms "2x" and "3" as well as the addition operation make up the algebraic formula "2x + 3". The unknowable value "x," which can take on any integer, can be checked for a wide range of values in the equation.
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How many non-identical triangles can be made using these side lengths:
5 cm, 7 cm, and 10 cm
By applying the Triangle Inequality Theorem, the number of non-identical triangles that can be made using the given side lengths is one.
What is the Triangle Inequality Theorem?In Mathematics, the Triangle Inequality Theorem can be defined as a type of theorem which states that the sum of any two (2) side lengths of a triangle must be greater than the measure of the third (2) side.
This ultimately implies that, the sum of the lengths of any two (2) sides of a triangle cannot be less than the length of the third (3) side of the triangle in accordance with the Triangle Inequality Theorem, as represented by this mathematical expression:
b - c < a < b + c
Where:
a, b, and c represent the side lengths of this triangle.
By applying the Triangle Inequality Theorem to the side lengths of this triangle, the number of non-identical triangles is given by:
5 + 7 > 10
12 > 10 (True).
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what operations in algebra set
Answer:
PEMDAS is the order of operations in all math subjects
Step-by-step explanation:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction.
A string is 5 meters long. What is its length in centimeters?
Answer:
500 centimeters
Step-by-step explanation:
Answer:
500 Centimeters
Step-by-step explanation:
A park is to be designed as a circle. A straight walkway will intersect the fence of the
park twice, requiring gates at each location. The city planner draws the circular park
and the walkway on a coordinate plane, with the equation
x² + y² - 4x = 9 for the circular park and the equation y = 2x modeling the
walkway. Write an ordered pair that represents the location of the gates in the third
quadrant.
o find the coordinates of the gates in the third quadrant, we need to find the points where the circle and the line intersect in the third quadrant.
Substituting y = 2x into x² + y² - 4x = 9, we get:
x² + (2x)² - 4x = 9
5x² - 4x - 9 = 0
Using the quadratic formula, we find:
x = (-(-4) ± √((-4)² - 4(5)(-9))) / (2(5))
x = (4 ± √136) / 10
We can discard the positive root since it is in the first quadrant. The negative root corresponds to the x-coordinate of the point of intersection in the third quadrant:
x = (4 - √136) / 10 ≈ -0.433
Substituting this value into y = 2x, we get:
y = 2(-0.433) ≈ -0.866
Therefore, the ordered pair that represents the location of the gates in the third quadrant is (-0.433, -0.866).
20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.
Answer:
give brain list first
Step-by-step explanation:
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2/2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated imagine?
Enter your answer by filling in the boxes.
The coordinates of B’ in the dilated image are B' (-16, -4).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:
Ordered pair A (0, 6) → Ordered pair A' (0 × 2, 6 × 2) = Ordered pair A' (0, 12).
Ordered pair B (-8, -2) → Ordered pair B' (-8 × 2, -2 × 2) = Ordered pair B' (-16, -4).
Ordered pair C (8, -2) → Ordered pair C' (8 × 2, -2 × 2) = Ordered pair C' (16, -4).
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Complete Question:
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated image?
HELP!! ASAP!! 50 POINTS!!
The quadratic equations are solved and the value of x are 1 and -7 respectively
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
a)
x² + 6x = 7
Adding 9 on both sides of the equation , we get
x² + 6x + 9 = 16
On simplifying the equation , we get
( x + 3 )² = ( 4 )²
Taking square roots on both sides , we get
x + 3 = ±4
Subtracting 3 on both sides , we get
x = 1 and x = -7
Therefore , the value of x are 1 and -7 respectively
Hence , the quadratic equations is solved
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Derrimon Trading Limited is a company which was established in 1998 that primarily earns revenues from the distribution and retail of bulk goods and the manufacturing, wholesale, retail and distribution of goods. The company is in expansion mode and has recently come to the public to raise additional funds, it is listed on the Jamaica Stock Exchange. By extension, one assumes that it would have had to make some changes in how it operates while catering to
the needs of the various stakeholders, more so its shareholders subsequent to this listing.
Required: A. Taking the above into consideration, discuss THREE consequences of this company
being a listed company on the Jamaica Stock Exchange.
B. Outline FIVE reasons that could have motivated Derrimon Trading Company to list on
the exchange.
Being a listed company on the Jamaica Stock Exchange has three consequences for Derrimon Trading Limited. Firstly, it provides access to additional capital for expansion and growth. Secondly, it increases transparency and accountability to shareholders and the general public. Lastly, it enhances the company's reputation and credibility in the market.
A. Consequences of Derrimon Trading Limited being a listed company on the Jamaica Stock Exchange:
Increased Public Visibility: By being listed on the Jamaica Stock Exchange, Derrimon Trading Limited gains increased public visibility and recognition. The company's activities, financial performance, and corporate governance practices are subject to public scrutiny, which can enhance its reputation and brand image among potential customers, suppliers, and partners.Access to Capital: One significant consequence of being a listed company is the ability to raise capital by issuing additional shares to the public. Derrimon Trading Limited can utilize the stock market to raise funds for its expansion plans, acquisitions, research and development, and other capital-intensive projects. This access to capital allows the company to pursue growth opportunities that may not have been feasible otherwise.Shareholder Expectations and Governance Obligations: As a listed company, Derrimon Trading Limited has a fiduciary duty towards its shareholders. It must ensure transparent reporting, compliance with regulatory requirements, and effective corporate governance practices. Shareholders expect timely and accurate financial information, dividend payments, and a strong return on their investments. The company needs to establish proper communication channels to address investor inquiries, concerns, and expectations.B. Reasons that could have motivated Derrimon Trading Company to list on the exchange:
Capital Expansion: Derrimon Trading Limited may have listed on the Jamaica Stock Exchange to raise additional capital for its expansion plans. Listing provides access to a broader investor base, allowing the company to attract more capital from institutional investors, retail investors, and other market participants.Acquisition and Growth Strategy: Listing on the stock exchange can facilitate Derrimon Trading's strategy of acquiring other companies and expanding its operations. The funds raised through the listing can be utilized for mergers and acquisitions, enabling the company to consolidate its market position and achieve economies of scale.Enhanced Liquidity: Listing on the exchange provides shareholders and investors with a platform to easily buy and sell the company's shares. This increased liquidity can attract more investors, improve the company's stock price stability, and potentially increase its market value.Improved Corporate Governance: Being a listed company imposes certain regulatory requirements and corporate governance standards. Derrimon Trading Limited may have chosen to list to enhance its corporate governance practices, which can improve transparency, accountability, and investor confidence in the company.Brand Visibility and Reputation: Listing on a reputable stock exchange like the Jamaica Stock Exchange can enhance Derrimon Trading's brand visibility and reputation. It signals to the market that the company has met the exchange's listing requirements and adheres to certain standards, which can attract more customers, suppliers, and business partners.It's important to note that these are hypothetical reasons and the actual motivations for Derrimon Trading Limited's listing may vary based on their specific circumstances and strategic objectives.
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What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?
Answer:
80 + 15x ≤ 300
Step-by-step explanation:
max amount = $300
already spent = $80
$300 - 80 = $220
shirts = $15 each
80 + 15x ≤ 300
$80 that is already spent + $15x ≤ $300 maximum
x = number of shirts
Claudia can make 4 balloon animals in 12 minutes.How many balloon animals can she make in 21 minutes
Answer: Claudia can make 7 balloons in 21 minutes.
Step-by-step explanation:
21/12=1.75
1.75 x 4 = 7
solve for A'0 (A0−A0′)^−γ=βR(RA0′)^−γ
The solution for A'0 is as follows:
A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)
We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.
First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).
Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.
Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).
Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).
Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),
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Help me please I’m really struggling
Answer:
Step-by-step explanation: