True. The rule of thirds is a photography and visual arts guideline that involves dividing an image into thirds using two horizontal lines and two vertical lines, and then placing the image's most important elements at the intersection points or along the lines.
This aids in the creation of a balanced and visually appealing composition. This results in nine rectangular areas of equal size, with four intersection points where the lines cross.
The rule of thirds principle suggests that the points of intersection or the lines themselves are ideal places to position the composition's most important elements. The resulting image is more visually balanced and pleasing to the eye as important elements are placed in these areas.
It is important that, however, that the rule of thirds is not a hard and fast rule, and that there were times when breaking it can result in more dynamic and interesting compositions. The rule of thirds is merely a tool for artists and photographers to use in order to create more effective and engaging images.
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What is the average rate of change of the function -4≤x≤0
Answer:
The average rate of change of a function over an interval is a measure of how the function's value changes over that interval, given by the ratio of the change in the function's value to the change in the independent variable. To find the average rate of change of a function over an interval, we need to know the function's values at two points in the interval.
In the case of the function f(x) = x^2, the interval is -4 ≤ x ≤ 0. To find the average rate of change, we need to find the difference in the function's value between two points in this interval, and divide that by the difference in the x-values.
For example, if we compare the values of the function at x = -4 and x = 0, we have:
f(-4) = (-4)^2 = 16
f(0) = 0^2 = 0
The difference in the function's value is f(0) - f(-4) = 0 - 16 = -16.
The difference in the x-values is x2 - x1 = 0 - (-4) = 4.
So the average rate of change over this interval is the difference in the function's value divided by the difference in the x-values, or -16 / 4 = -4.
In other words, the average rate of change of the function f(x) = x^2 over the interval -4 ≤ x ≤ 0 is -4, meaning that for every 4 units of change in x, the function value decreases by 16 units.
Step-by-step explanation:
1. Which equation has a quotient of 1 1/5?
A 5÷6=
B 6÷5=
C 4÷5=
D 5÷4=
Answer:
none of them do
Step-by-step explanation:
5/6=0.83
6/5=1.2
4/5=0.8
5/4=1.25
11/5=2.2
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any
right triangle.
a² + b² = c²
Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Completing the equation below by writing an expression equivalent to the length of a, the leg of a right triangle is given below
a^2 + b^2 = c^2a^2 = c^2 - b^2a = square root of (c^2 - b^2)What is Pythagoras' Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Hence, the complete equation according to this theorem is given above.
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nonononononononnnono
I really need help with this
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.
Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.
By keeping the above instructions in mind, conclusion can be made that :
Functions : (i), (ii), (iii), (iv) and (vi)
Non function : (v) and (vii)
a student committee has 6 membersâ€""4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?
The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in
(4 choose 3) = 4 ways.
The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in
(6 choose 3) = 20 ways.
Therefore, the probability that there will be no graduate students on the subcommittee is:
Number of subcommittees with only undergraduate students / Total number of possible subcommittees
= 4 / 20
= 1/5
= 0.2
So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
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Neeeeeed hellppppppppll
Answer:yes
Step-by-step explanation:correct becuase
Answer:
Answer is ADB
Step-by-step explanation:
I believe that's the answer
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
If you were to graph a sine function from the data listed in the table the days since Jan 8 is an independent variable and amount of moon visible is dependent variable
Given that, we have to graph a sine function from the data listed in the table
From the table we can see that there a two types of variables, The days since the Jan 8 and the amount of moon visible
The independent variable is defined as the variables that does not depends on any other variables
The dependent variable is defined as the variables that depends on other variables
Here the days since the Jan 8 does not depends on any other variables, so it is an independent variable. similarly the amount of moon visible depends on the days since Jan 8 value, so it is a dependent variable
Therefore, the days since Jan 8 is an independent variable and amount of moon light visible is dependent variable
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The given question is incomplete, the complete question is :
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
On the following scale drawing, the scale is 2 centimeters-1 meter.
1. Make a new scale drawing of this rectangular figure using the scale 3 centimeters-1 meter. Make sure to label the
new dimensions.
2. What are the actual dimensions of the figure?
7.8 cm
4.2 cm
The actual dimensions of the figure is 3.9 x 2.1
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
For example, Two spheres look similar but could have different radii.
For the first dimension of 7.8 cm, we can set up a proportion using the scale factor:
2 cm : 1 m = 7.8 cm : x
where x is the actual length we want to find.
Solving for x, we get:
x = (7.8 cm x 1 m) / 2 cm
x = 3.9 m
Therefore, the first actual dimension is 3.9 meters.
For the second dimension of 4.2 cm, we can use the same method:
2 cm : 1 m = 4.2 cm : y
where y is the actual width we want to find. Solving for y, we get:
y = (4.2 cm x 1 m) / 2 cm
y = 2.1 m
Therefore, the second actual dimension is 2.1 meters.
So the actual dimensions of the figure are 3.9 meters by 2.1 meters.
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Sophie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $127 for parts. The total was $227. Write and solve an equation which can be used to determine
x, the cost of the labor per hour.
Answer:
Step-by-step explanation:
(227-127)/4=x
"/" means divide.
1. Students in Mrs. Henderson's third grade class are working on times tables, and they demonstrate mastery by
passing tests. Sofia has passed 4 tests so far. Her classmate, Jacob, has passed 8 of them. From now on, Sofia plans
to take and pass 3 tests per week. Meanwhile, Jacob plans to do 1 per week. At some point, Sofia will catch up to
Jacob. How long will it take?
The number of weeks when Sofia will catch up to Jacob will be 2 weeks.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
Let 'x' be the number of weeks and 'y' be the total test. Then the equations are given as,
y = 4 + 3x ...1
y = 8 + x ...2
From equations 1 and 2, then we have
4 + 3x = 8 + x
3x - x = 8 - 4
2x = 4
x = 2
The number of weeks when Sofia will catch up to Jacob will be 2 weeks.
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At 7:00 A.M. Joe starts jogging at
6 mi/h. At 7:10 A.M. Ken starts off
after him. How fast must Ken run in
order to overtake him at 7:30 A.M.?
Provide steps please
The speed at which Ken should run to overtake Joe by 7.30 is 9mi/h.
What is meant by the speed of an object?
The size of a change in an object's position over time is measured by its speed. The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time. This is in contrast to an object travelling slowly, which travels a relatively short distance in the same length of time. It is a scalar value.
Given,
Time at which Joe starts jogging = 7 am
Time at which Ken starts jogging = 7.10 am
Speed of Joe = 6mi/h
Let Speed of Ken required to overtake Joe = x mi/h
Since Ken has to overtake Joe by 7.30, both will have travelled the same distance by 7.30.
Time taken by Ken to cover the distance = 7.30 - 7.10 20 minutes = 20/60=1/3 h
Time taken by Joe to cover the distance = 7.30 - 7 = 30 minutes = 1/2 h
Distance = speed * time
Both cover the same distance.
6 * 1/2 = x * 1/3
x = 9 mi/h
Therefore the speed at which Ken should run to overtake Joe by 7.30 is 9mi/h.
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Find the value of x
Answer:
x = 20
Step-by-step explanation:
since the 3 sides of the triangle are congruent then it is equilateral with 3 congruent angles, each of 60° , then
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
20
Step-by-step explanation:
We know that sum of corner of a triangle is 180° and if the triangle is equilateral, the corners are same
180:3=3x
60=3x
x=20
13 25 4 8 17 21 A number is to be written on the blank card. The mode and median of all seven numbers are both the same. Find one possible number that can be written on the blank card.
Answer:
13 or 17
-------------------
Given numbers:
13, 25, 4, 8, 17, 21Put them in the ascending order:
4, 8, 13, 17, 21, 25Let the possible number to be added be x.
Since x is the median, it should be between 13 and 17:
4, 8, 13, x, 17, 21, 25Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.
Terri wants to know the height of the big Christmas tree on the town square. She stands 20 feet from the base of the tree. Elliot places a mirror on the ground between Terri and the tree so that she can see the top of the tree in the mirror. The mirror is located 16 feet from the base of the tree. If Terri's eye level is 5.5 feet from the ground, how tall is the tree?
Answer:
22ft
Step-by-step explanation:
Always good to try and draw out the scenario, it can make it more easily understandable.
Have a look at the pic.
Hope its clear.
Brianna’s parents built a swimming pool in the backyard. Brianna days that the distance around the pool is 120 feet. Is she correct? Explain why or why not. 40ft 20ft
Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.
Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:
40 feet + 20 feet + 40 feet + 20 feet = 120 feet
Therefore, the total distance around the pool is 120 feet.
To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.
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The complete question is:
In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.
40 Ft
20 Ft
1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)
2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.
How many solutions does the following system of equations have?
a. 1
b. Infinitely many
c. 0
d. Not enough information
The correct option is B, the system of equations has infinitely many solutions.
How many solutions does the system of equations has?When we graph a system of equations, the points where the graphs of the equations intercept are the solutions.
In this case we can see a single line graphed, which only can happen when both equations of the system represent the exact same line.
Then the graphs intercept at infinite points, thus, the system of equatios has infininitely many solutions.
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many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. a particular station says that the probability that an incoming call is for medical assistance is 0.67. this can be expressed as
The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.
The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:
P(Medical Assistance) = 0.67
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33
In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability
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2/3 thrids subtract 1/4
Answer: 5/12
Step-by-step explanation:
2/3 - 1/4 = 5/12
Answer:
1.75
Step-by-step explanation:
help i will mark as brainliest i promise
The two-column table that can be used to prove the congruence relationships between the segments of the triangles are presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{KN}[/tex] ≅ [tex]\overline{MN}[/tex] [tex]{}[/tex] Given
[tex]\overline{NL}[/tex] bisects ∠KNM [tex]{}[/tex]
2. ∠KNL ≅ ∠MNL [tex]{}[/tex] Definition of bisected angle
3. [tex]\overline{NL}[/tex] ≅ [tex]\overline{NL}[/tex] [tex]{}[/tex] Reflexive property
4. ΔKNL ≅ ΔMNL [tex]{}[/tex] SAS congruence rule
5. [tex]\overline{KL}[/tex] ≅ [tex]\overline{ML}[/tex] [tex]{}[/tex] CPCTC
6. KL = ML [tex]{}[/tex] Definition of congruence
C.
[tex]{}[/tex] Statement [tex]{}[/tex] Reasons
1. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex], [tex]\overline{AE}[/tex] ≅ [tex]\overline{DE}[/tex] Given
2. ∠AEB ≅ ∠CED [tex]{}[/tex] Vertical angles theorem
3. ΔABE ≅ ΔCED [tex]{}[/tex] SAS congruence rule
4. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] CPCTC
What are congruent segments?Congruent segments are segments that have the same lengths.
The details of the reasons used to prove the equivalence of sides KL and ML and the congruence of the segments [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are presented as follows;
Definition of bisected angles
Bisected angles are angles that are split in two angles of the same measure by a segment passing through their vertex.
Reflexive property
The reflexive property of congruence states that a segment is congruent to itself.
SAS congruence rule
The SAS, Side-Angle-Side congruence rule states that if two sides and an included angle of a triangle are congruent to two sides and an included angle in another triangle, then the two triangles are congruent.
CPCTC
CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent.
Definition of congruence
Geometric figures, such as segment, angles and shapes are congruent when their sizes and measurements are the same.
Vertical angles theorem
The vertical angles theorem states that vertical angles formed by the intersection of two lines are congruent
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The height, h, of a projectile thrown straight up from the top of a 448-foot hill t seconds after being thrown upward with initial velocity vo ft/sec is given by
h=-16t² + vot+448. In this exercise, for a given value of vo. find the time(s) when the projectile will (a) be at a height of 576 ft above the ground and (b) crash
on the ground. Round your answers to two decimal places. Here vo= 112.
a. The projectile will be at a height of 576 ft above the ground after 1.43 seconds and after 5.56 seconds.
b. The projectile will crash on the ground after 9.84 seconds.
The solution has been obtained by solving the equation.
What is an equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.
We are given an equation as h = -16t² + v₀t + 448
Also v₀ is given as 112.
a. In order to find the time (t) the projectile will be at a height of 576 ft above the ground, we need to substitute h = 576 and v₀ = 112.
On substitution, we get
⇒h = -16t² + v₀t + 448
⇒576 = -16t² + 112t + 448
⇒36 = -t² + 7t + 28 (On dividing both sides by 16)
⇒0 = -t² + 7t - 8
⇒t² - 7t + 8 = 0
On solving the equation using the quadratic equation formula, we get
t = (7 ± √49 - 32)/2
t = 1.43 or 5.56
So, it will be at height 576 ft after 1.43 seconds and after 5.56 seconds.
b. Similarly, now we will put h = 0 and v₀ = 112.
Now, we get
⇒0 = -16t² + 112t + 448
⇒t² - 7t - 28 = 0 (On dividing both sides by 16)
On solving the equation using the quadratic equation formula, we get
t = (7 ± √49 + 112)/2
t = 9.84 or -2.84
Since, time cannot be negative, so it will crash after 9.84 seconds.
Hence, the projectile will be at 576 ft after 1.43 seconds and after 5.56 seconds and will crash on the ground after 9.84 seconds.
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Heidi contributes 11% of her monthly salary towards her 401(k) and her employer matches her contribution up to 6% of her salary. If the interest rate of her 401(k) is 6.25% compounded monthly and her monthly salary is $3,250, determine the amount in her account after 15 years. Round to the nearest cent.
Answer:
The amount that will be in Heidi’s account after 15 years is option A. $164,146.52.What is Future Value?It can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:FV = M (((1 + r)^n - 1) / r)Where;FV = Future value of the amount need to findM = total monthly contribution which is Heidi’s monthly contribution of 11% of her monthly salary + Employer monthly contribution of 6% of Heidi’s monthly salary can be calculated as;= (11% of Heidi’s monthly salary + 6.25% of Heidi’s monthly salary) = (11% of $3,250) + (6.25% x $3,250) = $552.50r = Monthly interest rate= Annual interest rate of 401(k) / 12 = 6.25% / 12 = 0.0625 / 12 r = 0.00520833333333333n = number of months = Number of years x 12 = 15 x 12 n= 180Substituting all the values into equation (1), we have;FV = $552.50 (((1 + 0.00520833333333333)^180 - 1) / 0.00520833333333333)FV = $552.50 x 297.097770863934FV = $164,146.518402324Rounding to the nearest cent, we get;FV = $164,146.52Therefore, the amount that will be in Heidi’s account after 15 years is option A. $164,146.52.
Step-by-step explanation:
.
Someone please explain how to solve this.
Just multiply each side by side
Step-by-step explanation:1.Times one side by another
2. Times your answer by the third side
A business owner wants to have the front window of her store painted and is considering two artists for the job. Suzie has quoted a flat rate of $250 for the job. Jane's quote is $40 per hour, plus $50 to cover the cost of materials. Depending on how long it takes Jane to paint the window, these two could end up charging the same amount. How long would Jane have to take? Write a system of equations, graph them, and type the solution.
Jane would take 5 hours painting the window so both of them could end up charging the same amount
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Let y represent the total charge for working x hours.
Suzie has quoted a flat rate of $250 for the job. For Suzie:
y = 250
Jane's quote is $40 per hour, plus $50 to cover the cost of materials. For Jane:
y = 40x + 50
For the two to charge the same amount:
250 = 40x + 50
40x = 200
x = 5 hours
Jane would spend 5 hours painting the window.
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Write a general formula to describe the following variation: F is directly proportional to the square of d, and F = 40 when d = 5.
Answers:
40 = 5k
F = 8d
F = 1.6*d^2
F = kd
A general formula to describe is F = 1.6×d² will be correct answer.
What in math is a proportional?A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.
Finding the general formula we obtain:
F=kd²
40=k×5²
k=1.6
so, F =1.6×d².
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Subtract 7x²-x-1 from x²+3x+3
Answer: The answer is x²+2x-8
Step-by-step explanation:
Let f(x)=p(x)/q(x) where p(x) and p(x) are polynomials with no common factors other than 1. Describe how to find the x-intercepts and the vertical asymptotes of the function
To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.
Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.
To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:
p(x) = 0
Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.
To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:
q(x) = 0
Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.
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If 1 pound of chocolate cream at Philadelphia candies cost $7. 52. How much does that candy cost by the ounce
The cost of one ounce of chocolate cream at Philadelphia according to the cost in pound will be $0.47.
We are aware of the fact that 1 pound is equal to 16 ounces. So, the cost of one pound will be the cost of 16 ounces. Representing this information in ounces and expression -
Cost of 1 pound = 7.52
Rewriting the equation according to ounce
Cost of 16 ounces = 7.52
So, cost of 1 ounce = 7.52/16
Performing division on Right Hand Side of the equation
The cost of one ounce = 0.47
Therefore, the cost of one ounce will be $0.47.
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does a parallelogram have 2 pairs of parallel sides
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides
Ethanedioic acid is a solid at room temperature. Calculate the mass of ethanedioic acid (H₂C2O4) needed to make 250 cm³ of a solution with concentration 0.0480 mol/dm³ Relative formula mass (M): H₂C2O4 = 90
Answer: 1.08g
Step-by-step explanation:
Concentration = Moles/ Volume
Moles = Concentration x Volume
Moles = 0.048 x 250/1000
Moles= 0.012
Moles= Mass / Relative Formula Mass
Mass = Moles x Relative Formula Mass
Mass = 0.012 x 90
= 1.08g
Find a possible formula for the trigonometric function whose values are in the following table.
The formula possible formula for the trigonometric function whose values are in the following table is y = 6 x sin(π/2 * x) - 4.
What is a trigonometric function?Trigonometric functions are described as the periodic functions which denote the relationship between angle and sides of a right-angled triangle.
The formula for a trigonometric function is typically written as :
y = a sin (bx + c) + d
where a, b, c, and d are constants which tells us the amplitude, frequency, phase shift, and vertical shift of the function, respectively.
From the above table, the amplitude = 6,
the frequency is 2π/4 = π/2
the phase shift = 0, and
the vertical shift = -4.
Therefore, we can write the formula for the function as Y = 6 * sin(π/2 * x) - 4.
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