Step-by-step explanation:
area of parallelogram= height * length of base
Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40.
Which statement is true about the solution c=40?
The solution c=40 is the selling cost of each candy bar, in dollars.
The solution c=40 is the selling cost of a box of candy bars, in dollars.
The solution c=40 is the number of candy bars Teah sold.
The solution c=40 is the amount in dollars that Teah spent on a box.
The solution c=40 is the profit in dollars Teah made from each candy bar.
Answer: The solution would be C
Step-by-step explanation:
If we multiply 40 candy bars by $2.50 we would get the answer of $100 because that is how much she made from selling candy bars. . Then we would have to subtract that answer by $25 because that is how much the box cost. $100 minus $25 is equal to $75. So the answer would be option C
8 POINTS WILL BE GIVEN!!
Answer:
x=39 degrees
Step-by-step explanation:
Which function has the following domain and range?
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
O {(-5, 4), (3, 0), (0, 2), (3, 5), (10, -1)}
{(-4,-3), (2, 11), (0, 3), (-4,-5), (0, 0))
O {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
O ((-5, 11), (-4,2}
-
The function which have Domain:{-5, -3, 0, 3, 11} and Range:{4, 0, 2} is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
What is domain?
The domain of a function is the set of values that we are allowed to plug into our function.
What is range?
The collection of potential output values for a function is known as its range. For instance, the range is the non-negative real numbers for the function fn(x)=x2 on the domain of all real numbers (x ∈ R), which may be represented as fn(x)≥0 (or [0,∞] using interval notation).
Given:
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
If the input of function is a and output is b then it is defined by (a, b).
a always belong to domain and b from range of function.
∴ By using given domain and range set of our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
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Answer:our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
Step-by-step explanation:
ok now can u guys help me plz
Answer:
The 4 answer is yours
Step-by-step explanation:
-2x^3+2x
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Drag each tile to the correect location on the table. Not all tiles will be used. Maych each quadratic function with the attributes of its graph.
Answer:
I believe you forgot to add a picture
Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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of the five points $(3, 10),$ $(6, 20),$ $(12, 35),$ $(18, 40)$ and $(20, 50),$ what is the sum of the $x$-coordinates of the points that lie in the region above the line $y
The sum of the x-coordinates of the points that lie in the region above the straight line y = 2x + 7 in coordinate plane is thirty-eight.
A point lies above the straight line , y = 2x + 7 in co-ordinate plane . If its y -coordinate is greater than two times its x-coordinate plus 7. Now, we are checking the each ordered pair one by one ,
(i) plug x = 3 and y = 10
2x + 7 = 3×2 + 7 = 13 > 10
(ii) plug x = 6 in 2x+7
=> 2× 6 + 7 = 19 < 20
(iii) x = 12
=> 2x + 7 = 2× 12 + 7 = 31 < 35
(Iv) x = 18
=> 2x + 7 = 2× 18 + 7 = 43 > 40
(v) x = 20
2x + 7 = 2×20 + 7 = 47 < 50
We see (6, 20) , ( 12,35) and (20,50) satisfy this condition. Now, we determine the sum of x-coordinates . The sum of the x-coordinates of these points is 6 + 12 + 20 = 38 . So, required sum of x-coordinates is 38.
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Complete question:
Of the five points (3, 10), (6, 20),(12, 35), (18, 40)and (20, 50), what is the sum of the x-coordinates of the points that lie in the region above the line
y = 2x + 7 in coordinate plane.
the sum of two numbers is 87. One of the numbers is 6 more than twice the other. what are the two numbers?
Answer:
27 and 60
Step-by-step explanation:
lets say the first number 'a' and the second number 'b'
1) The question says the sum of two number is 87 which means a + b = 87........given 1
2) we have another given which says one of the number is 6 morethan twice the other which means a = 2b + 6.......... given 2
a + b = 87
2b + 6 + b = 87 (we substitute 'a' with the given 2b + 6)
3b + 6 = 87
3b = 87 - 6
3b = 81
3b = 81
3 3
b = 27 ..... the first number
a = 2b + 6
a = 2 × 27 + 6
a = 54 + 6
a = 60..... the second number
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For any question comment me
What is the equation of the circle with center (0,0) that passes through the point (-6,-6)? need answers right now
O(x+6)² + (y+6)² = 72
0x² + y² = 0
O x² + y² = 72
○(x+6)² + (y+6)² = 0
The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:
(x + 6)² + (y + 6)² = 72
Please note that the equation represents the circle with center (0,0) and radius √72.\(\)
Answer:
The equation of a circle with center (0,0) that passes through the point (-6,-6) is:
(x - 0)² + (y - 0)² = r²
where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:
r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72
Therefore, the equation of the circle is:
x² + y² = 72
The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.
Answer:
37.7 feet
Step-by-step explanation:
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.
For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).
When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).
In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.
a submarie decends to 1/6 of its maximum depth. Then it decends another 2/3 of its maximum depth. if it is now at 650 feet below sea level, what is it's maximum depth?
Answer:
975 feet.
Step-by-step explanation:
2/3 = 4/6
650/4 = 162.5
162.5 x 2= 325
650+325 = 975
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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helpppppp pl.ssssssssssss IIIINEeeDDD THISS DONE TODAY!!!!!!
Answer:
1134
Step-by-step explanation:
Again I chose to separate the top half from the bottom.
top half: B*h=12*10*7=840
bottom half:21*7*2=294
add these two together 840+294=1134
Please helps me out !!!
Answer:
x = 74.2
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle (θ) = 70°
Angle opposite reference angle = x
Adjacent side = 28
Since we have Adjacent side and opposite side, we would apply the trigonometric ratio, TOA:
Tan θ = Opp/Adj
Substitute
Tan 70 = x/27
27*Tan 70 = x
x = 74.2 (nearest tenth)
Which equation has the greatest positive rate of change?
O y = x - 2
O y = 4x + 4
O y = 2x - 4
O y = 0
Answer:
y=4x+4
Step-by-step explanation:
It has the biggest slope of the equations of 4, and increases the most.
What is the distance between the points (-2,1) and (5,-4)
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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Use the information to answer the question.
A spinner contains 10 equal-sized sections. The sections are colored red, green, black, or orange. The spinner is spun 50 times. The spinner
landed on:
• red 19 times
green 11 times
• black 4 times
orange 16 times
Based on these results, how many sections are most likely each color on the spinner? Enter the answers in the boxes.
Color Number of Spinner Sections
Red
Green
Black
Orange
The number of sections that are most likely on each color on the spinner are
Red = 4Green = 2Black = 1Orange = 3How many sections are most likely each color on the spinner?From the question, we have the following parameters that can be used in our computation:
Number of times the spinner is spun = 50 times
The outcomes are
Red = 19 timesGreen = 11 timesBlack = 4 timesOrange = 16 timesNumber of sections = 10
The section of each color is then calculated as
Color = Color outcomes/Number of times * Number of sections
Using the above as a guide, we have the following:
Red = 19/50 * 10 = 3.8
Green = 11/50 * 10 = 2.2
Black = 4/50 * 10 = 0.8
Orange = 16/50 * 10 = 3.2
Approximate
Red = 4
Green = 2
Black = 1
Orange = 3
The above represents the possible sections
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Which of the expressions are equivalent to the one below check all the apply (12 + 3) ÷ 5
The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5
Which of the expressions are equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
(12 + 3) ÷ 5
The above expression is a quotient expression
However, we can apply some algebraic properties
Take for instance;
12 + 3 can be expressed as 3 + 12
So, we have
(12 + 3) ÷ 5 = (3 + 12) ÷ 5
Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5
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a) Work out the value of angle x.
O
X =
b) Give reasons for your answer.
I need help with questions B guys please.
I tried many reasons but it is not working
answer:
the total angle of a triangle is 180°
since all of the sides of the triangle are even, then it means that all the angles are also equal
180 divided by 3 (because theres 3 angles) = 60
since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)
i made a little diagram above for you, i hope it helps you and goodluck!! :)
The value of angle x is 60° in the triangle.
What is triangle?Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.
The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.
Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.
Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).
So, the value of x is 60°
Thus, the value of angle x is 60° in the triangle.
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Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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5/6=1/3+d
Thank you for the help and have a good day :)
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/2The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S
Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22
Using the SML, would you recommend to buy or sell the stock?
A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.
Correct Option is,
D) Buy, because the expected rate is greater than the required rate.
Now, Based on the information you've provided,
To calculate the required rate of return, we can use the SML formula as;
Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)
Plugging in the numbers, we get:
Required rate of return = 8% + 0.85 x (16% - 8%)
= 14.6%
Since the expected rate of return for Stock S is,
= dividend yield + growth rate
= (1.1 / 22 + 8%),
= 9.4%
which is higher than the required rate of return of 14.6%,
Here, the stock is undervalued and would be a good buy.
Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.
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PLEASE HELLP ASAP!!!
The quadratic function graphed is defined as follows:
y = x² - 10x + 9.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
From the graph, the roots are given as follows:
x = 1 and x = 9.
Hence the function as a product of it's linear factors is defined as follows:
y = a(x - 1)(x - 9)
y = a(x² - 10x + 9).
When x = 5, y = -16, hence the leading coefficient a is obtained as follows:
-16 = a(5² - 10(5) + 9)
-16a = -16
a = 1.
Thus the function is:
y = x² - 10x + 9.
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Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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What is the value of the expression? 75÷5−[(9−7)×3]×2
Answer:
3
Step-by-step explanation:
75÷5-[(9-7)×3]×2
do innermost inclusion symbols first, which would be 9-7
75÷5-[2×3]×2
now multiply 2 and 3
75÷5-(6)×2
now divide 75 by 5
15-6×2
now multiply
15-12
3
The required simplified value of the given expression is 13.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 75÷5−[(9−7)×3]×2
Following the PEMDAS rule,
= 25 - [2×3]×2
= 25 -[6]×2
= 25 - 12
= 13
Thus, the required simplified value of the given expression is 13.
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The table to the right shows binned data for the percentages of high school graduates who took a national ___ in 2016 among the 50 states and the District of Columbia. Make a histogram of the data.Test Takers by State Percentage of high school graduates Number of states s 20% 2 21-40% 13 41-60% 4 61-80% 7 81-100% 25 O A. 0 B. O C. D. 30- a Number of states Number of states 0 0 100 Percentage of students 100 Percentage of students 0 100 Percentage of students 0- 0 100 Percentage of students
Number of states , 100 Percentage of students 0- 0 100 Percentage of students 20 21- 40 41- 60 61- 80 81- 100
1. Draw a horizontal axis with percentages of students (0 - 100%) marked along the axis.
2. Draw a vertical axis with number of states (0 - 25) marked along the axis.
3. Divide the horizontal axis into sections, with each section corresponding to one of the percentage ranges in the table (20%, 21-40%, 41-60%, 61-80%, 81-100%).
4. For each section, draw a rectangle with a height that corresponds to the number of states in that range. For example, for the 81-100% section, the rectangle should have a height of 25.
5. Label each rectangle with the corresponding percentage range.
The final result should be a histogram that shows the percentage of high school graduates who took a national test in 2016 among the 50 states and the District of Columbia.
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How many unique ways are there to arrange the letters in the word PRIOR?
Answer:
60
Step-by-step explanation:
Answer:
it is 60
Step-by-step explanation:
CAN SOMEONE HELP SO I DONT FAILLLLL
Answer:
2\(\sqrt{22}\)
Step-by-step explanation:
Use pythagorus's theorem:
a²=b²+c²
13²=9²+x²
169=81+x²
x²=88
x=\(\sqrt{88}\)
x=\(\sqrt{22*4}\)
x=\(\sqrt{22} \sqrt{4}\)
x=2\(\sqrt{22}\)
Answer:
What the girl said
Step-by-step explanation: