triangle def with vertices d (0,6) e (3,5) and f (1,1)
Answers
The vertices of the triangle DEF after rotating 90° Counter-clockwise about (5, 2) are:
D' = (-4, -5)
E' = (-3, -2)
F' = (1, -4)
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle DEF with vertices:
D = (0,6)
E = (3,5)
F = (1,1)
Now,
90° Counter-clockwise rotation formula.
(x, y) → (-y, x)
Now,
Rotating 90° Counter-clockwise about (5, 2).
Step 1:
Subtract 5 and 2 with their respective coordinates.
D' = (0 - 5, 6 - 2) = (-5, 4)
E' = (3 - 5, 5 - 2) = (-2, 3)
F' = (1 - 5, 1 - 2) = (-4, -1)
Step 2:
Apply (x, y) → (-y, x) on D'E'F'.
D' = (-5, 4) = (-4, -5)
E' = (-2, 3) = (-3, -2)
F' = (-4, -1) = (1, -4)
Thus,
D' = (-4, -5)
E' = (-3, -2)
F' = (1, -4)
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
The complete question image is added.
Related Questions
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answers
Answer:
Hi!
Step-by-step explanation:
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3).
The function g(x)=x+4−−−−√+2 is a transformation of the square root parent function.
How can these transformations be described?
Drag words to the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The function g(x) is translated 4 units___ Response area and 2___ units Response area from its square root parent function.
answer choices
left
right
up
down
Answers
All the correct statements is,
The function g(x) is translated 4 units left Response area and 2 units up Response area from its square root parent function.
What is Reflection?Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.
We have to given that;
The function is,
⇒ g (x) = √(x + 4) + 2
And, The parent function is,
⇒ f (x) = √x
Now, The parent function is,
⇒ f (x) = √x
After translated 4 units left,
⇒ g (x) = √(x + 4)
And, After translated 2 units up,
⇒ g (x) = √(x + 4) + 2
Thus, All the correct statements is,
The function g(x) is translated 4 units left Response area and 2 units up Response area from its square root parent function.
Learn more about the reflection visit:
brainly.com/question/26494295
#SPJ1
Solve the problem below. Find the missing angle measures
Answers
The measures of the missing angles are:
m∠1 = 123°
m∠2 = 94°
m∠3 = 25°
m∠4 = 25°
m∠5 = 43°
m∠6 = 43°
How to evaluate for the missing anglesangles ABD and CBD are similar, so;
m∠1 = 133°
m∠1 + m∠2 + 133° = 360° {sum of angles at a point}
m∠2 = 360° - 266°
m∠2 = 94°
m∠3 = 180° - (22 + 133)°
m∠3 = 180° - 155°
m∠3 = 25°
angles BAD and BCD are similar, so;
m∠4 = 25°
angles m∠5 and m∠6 are base angles of an isosceles so m∠5 = m∠6 and;
m∠5 = (180 - 94)/2
m∠5 = 43°
m∠6 = 43°
Therefore, the measures of the missing angles are: m∠1 = 123°, m∠2 = 94°, m∠3 = 25°, m∠4 = 25°, m∠5 = 43°, and m∠6 = 43°.
Know more about angles here:https://brainly.com/question/1475130
#SPJ1
Is 3X +6 equivalent to 3( X +2)
Answers
answer
the answer is yes they are equvalent
Answer:
Yes
Step-by-step explanation:
If you multiply 3 and x you get 3x
If you multiply 3 and 2 you get 6. Which means the answer is [tex]3x + 6\\[/tex]
3 · x = 3x
3 · 2 = 6
3x + 6
Kaj bought three pounds of strawberries for $7.20. What is the price, in dollars per ounce of strawberries?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces of strawberries did Kaj buy?
Answers
Three pounds of strawberries is equal to 3 x 16 = 48 ounces of strawberries.
So, the price per ounce of strawberries is $7.20 / 48 ounces = $0.15 per ounce.
question content area top part 1 a ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder. find the length of the ladder if the distance from the bottom of the ladder to the building is 16 feet
Answers
Let's call the length of the ladder "x". According to the problem, the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder, so x - 8 feet is the height of the ladder.
Also, the distance from the bottom of the ladder to the building is 16 feet, so the total height of the ladder and the building is x + 16 feet.
So, we can set up an equation based on these two statements:
x - 8 + 16 = x + 16
x - 8 = x
8 = x
Therefore, the length of the ladder is 8 feet.
To know more about Length:
https://brainly.com/question/29868754
#SPJ4
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
Answers
Answer: the reasonable answer for this expression would be 2x-4
Explanation: please give brainliest.
from 1975 to 1986, the general social survey asked its participants if they favored or opposed capital punishment. a least squares regression line was calculated to predict the percent that favored the death penalty based on the year. the least squares regression equation is yhat
Answers
The y-intercept for this equation makes no sense for this model.
The given expression is
y=-1912.49+1.003x.
This linear regression expresses a line in its explicit form: y=mx+c
Where y=-1912.49 represents the y-interception.
This element of the linear regression represents the initial condition of the modeled problem, that is, in this case, the initial year.
So, it doesn't make sense that the initial year is -1912.49 because years are whole numbers, they are not represented as decimals. Additionally, years cannot be negative numbers, because it won't make sense, time cannot go backward.
Therefore, the y-interception is not appropriate to model this problem.
To know more about y-intercept:
https://brainly.com/question/13291936
#SPJ4
PLEASSEEE HELP IVE BEEN STUCK ON THIS FOR AN HOUR. You have a box of biodegradable stirrers that are each 8 inches long. You could use 3 of these stirrers to make a triangle. If we wanted to make a row of three triangles made up of stirrers, we would need to use 7 stirrers, as pictured below. If your box has 780 biodegradable stirrers in it, you could make a row of how many triangles?
Answers
Answer:
130 rows of three triangles.
Step-by-step explanation:
If we want to make a row of three triangles, we need to use 7 stirrers, so each triangle uses 7 stirrers / 3 triangles = 2 stirrers/triangle.
If we have 780 biodegradable stirrers in the box, we could make 780 stirrers / 2 stirrers/triangle = 390 triangles.
So we could make a row of 390 triangles / 3 triangles/row = 130 rows of three triangles.
the x vector component of a displacement vector has a magnitude of 118 m and points along the negative x axis. the y vector component has a magnitude of 198 m and points along the negative y axis. find (a) the magnitude and (b) direction of . specify the direction as a positive angle with respect to the negative x axis.
Answers
The magnitude and direction of the displacement vector are 253.4 m and 60.3°, respectively.
The magnitude of a displacement vector can be calculated using the Pythagorean Theorem, where the magnitude is equal to the square root of the sum of the squares of the x and y components of the vector. In this case, the magnitude is equal to the square root of (118)2+(198)2=253.4 m.
To find the direction, we can use the trigonometric inverse tangent function. The angle must be measured counterclockwise from the negative x axis. We can calculate the angle θ using the equation θ=tan-1(y/x). In this case, θ=tan-1(198/118)=60.3°. Therefore, the magnitude and direction of the displacement vector are 253.4 m and 60.3°, respectively.
Learn more about Pythagorean Theorem here:
https://brainly.com/question/14930619
#SPJ4
The table below shows the number of pizzas to people served. Based on the information in the table, which of the following statements is not correct?
Answers
The incorrect option regarding number of Pizza and number of people served is "The ratio of people served to pizzas is 1:4". So Option D is right
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
A table
Number of pizza Number of People served
3 12
4 16
7 28
9 36
Now, Lets calculate how many people can served by 1 pizza,
Number of people can be served by 1 Pizza
= Number of People served/Number of pizza
Number of people can be served by 1 Pizza = 12/3
= 4
Similarly, In each case 1 pizza is divided into 4 people
Now, given options,
A. Ratio of number of pizza to people served is 1:4
It is correct
B. If there were 14 pizzas, then there would be 56 people served.
It is also correct
C. If there were 48 people served, then there would be 12 pizzas.
It is also correct
D. The ratio of people served to pizzas is 1:4.
It is not correct, because ratio should be 4:1
To know more about Ratio check:
https://brainly.com/question/13419413
#SPJ1
The complete question is,
7. The table below shows the number of pizzas to people served. Based on the the table, which of the following statements is not correct?'
A. The ratio of number of pizzas to people served is 1:4 .
B. If there were 14 pizzas, then there would be 56 people served.
C. If there were 48 people served, then there would be 12 pizzas.
D. The ratio of people served to pizzas is 1:4.
A triangle has vertices at (5, 4), (−2, 3), and (−2, 2). What are the coordinates of the vertices of the image after the translation (x, y) arrow right (x + 4, y − 2)?
Answers
Answer:
c below
Step-by-step explanation:
(5, 4), (−2, 3), and (−2, 2) became
(9, 2), (2, 1), and (2, 0).
they got moved 4 units to the right & 2 down
in the diagram, four circles of radius 1 with centers $p$, $q$, $r$, and $s$ are tangent to one another and to the sides of $\triangle abc$, as shown.
Answers
The answer is 8 + 8√2 = 12 + 4√2, which is closest to answer choice (A), so the answer is (A).
Since the circles have radius 1, the sides of the triangle that are tangent to the circles are equal to 2. The sum of the sides of the triangle is equal to the perimeter of the triangle, so if we add up the sides that are tangent to the circles, we can find the perimeter.
There are four sides of the triangle that are tangent to the circles, so the sum of these sides is
4 * 2 = 8
To find the perimeter, we simply add 8 to the remaining sides of the triangle.
Since the triangle is isosceles, it has two equal sides that are equal to 4√2, and one side equal to the diameter of the circles, which is equal to 4. The perimeter is then equal to :
8 + 4 + 4√2 * 2 = 8 + 4 + 8√2.
The answer is 8 + 8√2 = 12 + 4√2, which is closest to answer choice (A), so the answer is (A).
Learn more about tangent :
https://brainly.com/question/19424752
#SPJ4
The complete question is :
In the diagram, four circles of radius 1 with centers P, Q, R and S are tangent to one another and sides of △ABC . Find the perimeter of △ABC
(A) 12+4√2
(B) 12+4√3
(C) 12+6√2
(D) 12+6√3
(E) 24
Determine if the expression
3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answers
The answer is, Yes, 3 is a polynomial of degree 0.
and, the type of the polynomial is called a cubic polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
3x+2x-5, for example, is a polynomial.
A binomial is a two-term polynomial.
For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.
here, we have,
3 is a polynomial of degree 0.
Since there is no exponent to a variable, therefore the degree is 0. Explanation: All constant polynomials have a degree of 0. Since 3 is a constant polynomial and can be written as 3x^0,
it has a degree of 0.
Know more about Polynomials here:
brainly.com/question/2833285
#SPJ1
If the scale on the map is 3/4 inch = 2. what is the actual distance of 1 1/2
Answers
The actual distance of [tex]1\frac{1}{2}[/tex] or 3/2 is 4 unit.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
The scale on the map is 3/4 inch = 2.
So, the actual distance of [tex]1\frac{1}{2}[/tex] or 3/2,
= 2 x 2
= 4 unit.
Therefore, the distance is 4 unit.
To learn more about the scale factor;
https://brainly.com/question/29464385
#SPJ1
if a and b represent two outcomes that are not disjoint, what is the probability that at least one of them occurs?
Answers
The probability that at least one of the two outcomes occurs is equal to the sum of the individual probabilities minus the overlap between them.
The probability that at least one of two outcomes, represented by a and b, occurs is given by the union of the two events, represented by
P(a U b)
This probability is calculated as the sum of the individual probabilities of the two events, minus the probability of their intersection, represented by
P(a ∩ b)
This is because the intersection represents the overlap between the two events and is counted twice in the sum of the individual probabilities.
Mathematically, the probability of the union of two events can be expressed as:
P(a U b) = P(a) + P(b) - P(a ∩ b)
Therefore, the probability that at least one of the two outcomes occurs is equal to the sum of the individual probabilities minus the overlap between them. This calculation takes into account the fact that the overlap represents the probability of both outcomes occurring together, which is counted twice in the sum of the individual probabilities.
Learn more about probability :
https://brainly.com/question/30034780
#SPJ4
give the number of terms in the algebraic expression and also give the numerical coefficient of the second term. -3a+30b
Answers
Answer:
Step-by-step explanation:
as you select your pizza, look for slices with extra vegetables or fruit. this will increase fiber content by about 1 gram per slice. if the restaurant offers pizza with whole grain crust, this would also add about 1 gram of fiber per slice. which of the following pizza options contributes the most fiber?
Answers
Boost your consumption of fibre and liquids. Consider choosing pizza pieces that have extra fruit or vegetables.
By doing this, the fibre content will rise by around 1 gramme each slice. If the eatery serves pizza with a whole grain crust, this would also increase the amount of fibre per slice by around one gramme.
Include a serving of whole grains in every meal as a general rule.Have some wheat germ or oat bran on hand.When baking and cooking, if possible, use whole-wheat flour.Select whole-grain bread.Pick cereals that have 5 grammes or more of fibre per serving.Know more about fibre
https://brainly.com/question/29499684
#SPJ4
Do these pairs of values (x and y) represent two quantities that are proportional?
Answers
A. Yes, because all of the pairs represent the same ratio.
The method is x values are multiplied by 4 and formed y values.
1x4 = 4
2×4=8
3×4= 12
6x4 =24
y = 4, 8, 12, 24
What is a Linear FunctionBasically, the definition of a linear function is a relation that pairs every member in set A with another member in set B. All members in set A must be paired with members in set B. This linear function is also called the Line Equation Straight. As previously stated, functions in the world of mathematics are closely related to their constituent elements, namely in the form of variables, coefficients, and constants.
So, a linear function is a function that forms a graph in a straight line. This linear function is also a function that has the highest rank with a variable equal to one.
Learn more about linear function at https://brainly.com/question/14453306
#SPJ1
2x-y > -1
X -3y > - 11
3x+4y < 40
X > 0 , y >0
Answers
The values of the inequalities are: -1, -1/2 (2) -11/3, -11 (3) 10 and 40/3 respectively
What is an inequality?Inequality is a mathematical statement in mathematics or logic that two quantities usually separated by a special sign (as <, >, or ≠ respectively meaning "is less than," "is greater than," or "is not equal to") are not equal
1) 2x-y > -1 ........................1
X -3y > - 11 ........................ii
3x+4y < 40
From the set of inequalities, if X > 0 , y >0
In equation 1
1) 2x-y > -1 ........................1
When x>0
2(0)-y>-1
This implies that -y>-1
Therefore y <1
When y >0
2x-0>-1
x>-1/2
From equation 11
X -3y > - 11
When x>0
0-3y>-11
This means that y<11/3
When y>0
x-0>-11
Therefore x>-11
From equation 3
3x+4y < 40
When x>0
3(0(+4y<40
4y<40
y<10
When y <0
Therefore 3x+0<40
Therefore x<40/3
Learn more about inequality on https://brainly.com/question/25285332
#SPJ1
suppose there are two known compounds containing the generic elements x and y. you have a 1.00 g sample of each compound. one sample contains 0.28 g of x and the other contains 0.37 g of x.1. X3Y and X4Y2. XY and X3Y3. X2Y4 and X3Y44. X2Y and X3Y5. XY3 and XY46. XY and X2Y7. X4Y2 and X3Y
Answers
The two compounds containing the generic elements X and Y with 1.00 g samples containing 0.28 g of X and 0.37 g of X can be represented as X2Y4 and X3Y2 respectively.
Generic elements refer to the elements that make up a compound. They are represented by symbols, such as X and Y, and can be used to describe the various combinations of elements that form a compound.
For example, if a compound contains two elements, X and Y, it can be expressed as XY. This means that the compound consists of one atom of X and one atom of Y. By using generic elements, it is easier to describe a compound without having to specify the exact identities of the elements in the compound.
Learn more about generic elements
https://brainly.com/question/28182649
#SPJ4
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5}
B = {1, 3, 5, 7}
How many elements are in (A' ∩ B)' ?
Answers
The number of elements in the set (A' ∩ B)' is given as follows:
5.
How to obtain the sets?The set A' is given by the elements that belong to the universal set U but do not belong to set A, hence the set A' is given as follows:
A' = {3, 6, 7}
The intersection of the sets A' and B is given by the set of elements that belong to both of these sets, which are 3 and 7, hence:
A' ∩ B = {3,7}.
Then the negative of this set is the set of elements that belong to the universal set U but not to set A' ∩ B, hence:
(A' ∩ B)' = {1, 2, 4, 5, 6}.
Which is a set with a cardinality of 5, that is, a set with five elements.
More can be learned about operations with sets at https://brainly.com/question/4699996
#SPJ1
on the following graph, use the green point (triangle symbol) to plot the weekly total revenue when the market price is $50, $75, $100, $125, $150, $175, and $200 per scooter.
Answers
Total revenue when the market price is =0.59~0.6
total revenue at the current market rate,
(42-48)/[(42+48)/2]=13.33 % CHANGE IN DEMAND
(125-100)/[(125+100)/2]=(125-100) = 22.22
Ep=13.33/22.22
=0.59~0.6
inelastic
decrease
inelastic.
Your company's sales for the entire year are what make up your annual income. Costs and expenses are not included in this. The quantity of each product you sell is multiplied by the retail price to determine annual sales, which are then added to determine annual sales as a whole.
Sales are the total annual revenue derived from the sale of products or services associated with a business's core operations. The whole profit or profit of the company is known as income or net income. The financial health of a corporation is influenced by both sales and net income, yet they are mutually exclusive.
Learn more about annual revenue here: https://brainly.com/question/30299210
#SPJ4
The following normal distribution is based on a sample of data. The shaded area represents 13% of the area under the curve.(a) What is the relative frequency of scores between A and B?(b) What is the relative frequency of scores between A and C?(c) What is the relative frequency of scores between B and C?(d) Rank-order A, B, C, and D to reflect the order of scores from the highest to the lowest frequency.(e) Rank-order A, B, C, and D to reflect the order of scores from the highest to the lowest score.
Answers
a) The relative frequency between A and B = 0.13, b) The relative frequency between A and C is 0.5, c) the relative frequency between B and C is 0.37, d) the rank order is D C B A.
The ratio (fraction or proportion) of the number of times a data value occurs in the set of all outcomes to the total number of outcomes is referred to as the relative frequency.
If we are given the curve of a normal distribution data, then the relative frequency of an endpoint is equal to the area to the left of that point. Therefore, we can conclude:
a) The relative frequency of scores between A and B is 13% or 0.13
b) C is the mean of the data. Hence, the relative frequency of scores between A and C is 50% or 0.5
c) The relative frequency between scores B and C is 50% - 13% = 37% or 0.37.
d) The order of scores from the highest to the lowest score is: D C B A.
The picture in your question is missing. Most likely it was like on the attached picture.
Learn more about relative frequency here:
https://brainly.com/question/1094036
#SPJ4
Are the two lines below parallel, perpendicular, or neither? Show your work.
y=-1/2x+3
and
-4x+2y=-4
Answers
The two lines represented by the given system of equations are perpendicular.
How to determine the type of line?In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂ ⇒ -1 = -1
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
Note: m represents the slope.
By making y the subject of formula in equation 2, we have the following:
-4x + 2y = -4
2y = 4x - 4
y = 2x - 2
Slope, m = 2.
-1/2 × 2 = -1 (perpendicular).
Read more on slope here: brainly.com/question/3493733
#SPJ1
the speed of a runner increased steadily during the first three seconds of a race. her speed at half-second intervals is given in the table. find lower and upper estimates for the distance (in ft) that she traveled during these three seconds.
Answers
Starting from t = 0 to t = 2.5 seconds with each t = 0.5 seconds, the LEFT Riemann sums for this issue are performed.
Distance is equal to 0.5 * v (0), 0.5 * v (0.5), 0.5 * v (2), and 0.5 * v (0.5)(2.5) >>>>>>>>>>>> (LESS LIMIT)
The same thing is possible with RIGHT. Riemann sums are calculated from t = 0.5 to t = 3 with t = 0.5.
Distance is equal to (0.5 * v) + (0.5 * v) (1) + ......... 0.5 * v (2.5) + 0.5 * v (3) (3) >>>>>>>>>>>> (MAXIMUM LIMIT)
Lower Estimate:
The lower estimate for the distance that the runner traveled during the first three seconds of the race can be calculated by adding the distances traveled at each half-second interval. The distances traveled at each half-second interval are as follows: 0.5 seconds - 10 ft, 1 second - 20 ft, 1.5 seconds - 30 ft, 2 seconds - 40 ft, 2.5 seconds - 50 ft, and 3 seconds - 60 ft. Therefore, the lower estimate for the distance traveled during the first three seconds of the race is 10 + 20 + 30 + 40 + 50 + 60 = 190 ft.
Upper Estimate:
The upper estimate for the distance that the runner traveled during the first three seconds of the race can be calculated by adding the distances traveled at each half-second interval plus the distance traveled during the 0.5 seconds between each interval. The distances traveled at each half-second interval plus the distance traveled during the 0.5 seconds between each interval are as follows: 0.5 seconds - 15 ft, 1 second - 25 ft, 1.5 seconds - 35 ft, 2 seconds - 45 ft, 2.5 seconds - 55 ft, and 3 seconds - 65 ft. Therefore, the upper estimate for the distance traveled during the first three seconds of the race is 15 + 25 + 35 + 45 + 55 + 65 = 235 ft.
To learn more about distance:
https://brainly.com/question/26046491
#SPJ4
1. Find Sn for the arithmetic series where a1= 3 , an= 42 , n= 14
2. Find sn for the arithmetic series where a1= −20 , n= 25 , an= 148
3. Find sn for the arithmetic series where a1= 5 , d= 1/2 , n= 13
Answers
2. Sn = n/2 * (a1 + an) = 25/2 * (-20 + 148) = 25/2 * (128) = 6400
3. Sn = n/2 * (2a1 + (n-1)d) = 13/2 * (2 * 5 + (13-1) * (1/2)) = 13/2 * (10 + 6 * (1/2)) = 13/2 * (10 + 3) = 13/2 * 13 = 169
Answer:
Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:
a1 = 3, an = 42, n = 14
Sn = (14/2) * (3 + 42) = (14/2) * 45 = 315
Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:
a1 = -20, an = 148, n = 25
Sn = (25/2) * (-20 + 148) = (25/2) * 64 = 800
Sn for an arithmetic series can be found using the formula: Sn = n/2 * (2a1 + (n-1)d) where d is the common difference. In this case, we have:
a1 = 5, n = 13, d = 1/2
Sn = 13/2 * (2 * 5 + (13 - 1) * 1/2) = 13/2 * (10 + 12/2) = 13/2 * (10 + 6) = 13/2 * 16 = 104
So for the series with the given parameters, Sn = 104.
1) Here is a balanced hanger diagram.
A circle weighs 3 grams and a square weighs 2 grams. What is the weight of a triangle?
Justify your answer using an equation or explanation.
Answers
Answer:
Step-by-step explanation:
The hanger shows a total weight of 7 units on one side that is balanced with 3 equal, unknown weights and a 1-unit weight on the other. An equation that represents the relationship is . We can remove a weight of 1 unit from each side and the hanger will stay balanced.
The price of a share of one stock fell from $8.75 to $8.54. Find the percent change.
Answers
Answer: 2.5%
Step-by-step explanation:
8.54 / 8.75 =0.975
1 - 0.975 = 0.025
0.025 x 100% ( and nearest thenth)
=2.5%
consider the following problem, and determine which assumptions listed below might be reasonable to make. select all that apply. develop an algorithm to find a walking path between two university classrooms such that it takes no longer than 15 minutes (based standard walking speed) and the amount of shade cover is maximum.
Answers
A path between two classrooms that takes no longer than 15 minutes and maximizes the amount of shade cover.
This problem can be solved using a Shortest Path Algorithm, which is a type of algorithm that finds the shortest path between two nodes in a graph. To solve this problem, reasonable assumptions to make include: the walking speed is constant, the walking path is a straight line, and the amount of shade cover is quantifiable.
The algorithm can be modeled using a weighted graph, where the nodes are the university classrooms, and the edges are the paths between them. The weights of the edges represent the length of the path in terms of time, and the amount of shade cover. The algorithm will then search through the graph, finding a path between the two nodes that optimizes the amount of shade cover while still maintaining a total path length of no more than 15 minutes.
The algorithm can then be implemented using two loops. The outer loop will iterate through each of the nodes and the inner loop will iterate through each of the edges connecting the nodes. For each iteration, the algorithm will check if the total path length is less than 15 minutes and if the amount of shade cover is greater than the current best path. If both conditions are met, the algorithm will save the path as the best path and update the current best path length and shade cover
By using this algorithm, we can find a path between two classrooms that takes no longer than 15 minutes and maximizes the amount of shade cover.
Learn more about algorithm here:
https://brainly.com/question/29289479
#SPJ4