Which conjecture, if any, could be made about the sum of two even integers and one odd integer?
The sum will be an even integer.
The sum will be negative.
It is not possible to make a conjective.
The sum will be an odd integer.
Answers
Answer:
The sum will be an odd integer
Step-by-step explanation:
The even integers are divisible by 2 (as they are even) so we can write them as 2 times integer like this.
First even number = 2x
Second even number = 2y
An odd number is not divible by 2, but the number 1 smaller is even, so
The odd number = 2z + 1
Let's add them
2x + 2y + 2z + 1 = 2(x+y+z) + 1
So our sum is 1 more than another even number, so the sum is an odd number.
Related Questions
(-4)(-4)(-4)(-4)(-4)(-4)
Answers
The answer is to (-4)(-4)(-4)(-4)(-4)(-4) 4096
(a) You have a 10 inch by 15 inch piece of tin which you plan to form into a box (without a top) by cutting a square from each corner and folding up the sides. How much should you cut from each corner so the resulting box has the greatest volume? (b) If the piece of tin is A inches by B inches, how much should you cut from each corner so the resulting box has the greatest volume?
Answers
Resulting box has the greatest volume for the values (25 ± 5√7)/6 .
This is a problem that can be solved using derivatives , maxima & minima and common logic.
Hence , going by logic :
Creating a flap of 'a' inches in width, the base of the box will be
(10 - 2a) by (15 - 2a)
and the depth of the box will be the width of the fold-up flap: a.
Then the volume of the box is
v = [tex]a(10 -2a)(15 -2a) = 150a -50a^2 +4a^3[/tex]
Using the derivative of the volume will be zero at the maximum volume.
0 = [tex]dv/da = 150 -100a +12a^2[/tex]
This has roots at
a = (100 ±√(100² - 4(12)(150)))/(2·12)
a = (100 ± √2800)/24 = (25 ± 5√7)/6
Only the smaller of these solutions gives a maximum volume.
You should cut (5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.
Similarly , replacing the values of 10 by A and 15 by B , a generalized solution can be formed .
To know more about maxima and minima, go to brainly.com/question/29562544
#SPJ4
The vertices of quadrilateral PQRS are listed.
P(3,7). Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS?
O A.
Quadrilateral PQRS IS a parallelogram.
O B.
Quadrilateral PQRS is a rectangle.
• c.
Quadrilateral PQRS is a square.
• D.
Quadrilateral PQRS is a trapezoid.
Answers
Answer: O B. Quadrilateral PQRS is a rectangle.
Step-by-step explanation: The image should help you picture my answer. Good luck with your end of semester test!
Have a great day! :)
Consider the equation below. − 5 n + 31 = − 14 n − 5 Select the equation that has the same solution. − 1 − 22 n = − 20 n − 9 1 = 0.75 n + 3.25 3 − 6 n + 3 n = − 3 + 4 − 4 n
Answers
Answer: The equation that has the same solution as the given equation is −1 − 22 n = −20 n − 9. This can be seen by solving both equations for n.
To solve the given equation − 5 n + 31 = − 14 n − 5 for n, we can start by adding 5n to both sides to obtain 31 = − 9 n − 5. Then, we can add 9n and 5 to both sides to obtain n = −1.
To solve the equation −1 − 22 n = −20 n − 9 for n, we can start by adding 22n to both sides to obtain −1 = −20 n − 9. Then, we can add 20n and 9 to both sides to obtain n = −1.
Since both equations have the same solution for n (namely, n = −1), they have the same solution. Note that the other equations listed in the question do not have the same solution as the given equation. For example, the equation 1 = 0.75 n + 3.25 has the solution n = −4, while the equation 3 − 6 n + 3 n = − 3 + 4 − 4 n has the solution n = 1/5. These solutions are different from the solution n = −1 of the given equation, so these equations do not have the same solution as the given equation.
Answer:
11/4n+2=-3+ 3/2n
Step-by-step explanation:
describe the transformation of f(x) = sin x to g(x) = sin (x - pi/3)
Answers
Answer:
gh(b)
Step-by-step explanation:
Answer:
shifted to the right
Step-by-step explanation:
Which best describes the graph of
f(x) = log₂(x + 3) + 2 as a transformation of the
graph of g(x) = log₂x?
Answers
A translation 3 units left and 2 units up best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x
How to solve this problem?
f(x) = log2(x + 3) + 2 (given)
g(x) = log2x (given)
We need to describe the best statement for the graph
The graph is shown in the image
The following steps are shown to describe the graph.
The general equation of f(x) = log2(x-h)+k
When h > 0 (positive)
The graph of the base of the function shift to the right
When h < 0 (Negative)
The graph of the base function shifts to the left.
When k > 0 (Positive)
The graph of the base function shifts upward.
When k < 0 (Negative)
The graph of the base function shifts downward
Here h = 3 , k = 2
Hence , a translation 3 units left and 2 units up describes the graph.
Learn more about Translating the logarithm function more
brainly.com/question/12640727
#SPJ1
for which of the following is X=-5 a solution select all that apply 
Answers
Answer:
x + 10 = -5
|2x|=10
x<0
Remember to follow PEMDAS since the variables will be eliminated:
(-5)+10=-5
5≠-5
Thus, x=-5 is not a solution to the first function. Let’s continue with the second equation:
-(-5)^2+50=25
-(25)+50=25
25=25
Thus, x=-5 IS a solution to this function.
|2(-5)|=10
|-10|=10
10=10
Thus, x=-5 IS a solution to this function.
(-5)<0
This is a true statement, so x=-5 IS a solution to the inequality.
2(-5)<10
-10<10
Thus, x=-5 IS a solution to the function.
So, here’s the list of equations that x=-5 satisfies:
✓ -x^2+50=25
✓ |2x|=10
✓ x<0
✓ 2x<10
Your school is planning a fundraising dinner. The expense for this event must not exceed $2,475.00. The team organizing the event has calculated that the cost per adult guest will be $18.00 and the cost per child guest will be $9.00. The venue can hold no more than 150 guests.
Answers
The two inequalities that describe the total cost and no. of guests are
18a + 9c ≤ 2475 and
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let 'a' be the no. of adults and 'c' be the no. of children.
The expense for this event must not exceed $2,475.00.
Therefore, 18a + 9c ≤ 2475...(i)
The venue can hold no more than 150 guests.
Therefore, a + c ≤ 150...(ii)
learn more about inequalities here :
https://brainly.com/question/20383699
#SPJ1
Please help will mark Brainly
Answers
Answer:
A
Step-by-step explanation:
Blue = River Y
Red = River Z
River Y equation: y = 18
River Z equation: y = 10 + 2x
Graph A represents this system of equations.
IF THIS HELPED YOU GIVE ME BRAINLIEST FOR GOOD LUCK FOR 10 YEARS
Han ran 10 m in 2.7 seconds. Priya Ran 10 m in 2.4 seconds Who ran faster ?
Answers
For Han, this would be 2.7 seconds / 10 = 0.27 seconds per meter.
For Priya, this would be 2.4 seconds / 10 = 0.24 seconds per meter.
Since Priya ran 1 meter in a shorter amount of time than Han, we can conclude that Priya ran faster.
The supply function and the demand function for a product are linear and are determined by the tables that follow.
Supply Function
Price ($) Quantity
75 125
150 150
300 200
Demand Function
Price ($) Quantity
45 355
120 330
270 280
(a) Write an equation for the supply function's price p as a function of q.
p =
Write an equation for the demand function's price p as a function of q.
p =
(b)Find the quantity and price that give market equilibrium.
Market equilibrium is achieved with a product quantity of units at a price of $ per unit.
Answers
The required supply function is p = 3q - 300 and the required demand function is p = -3q + 1110. The equilibrium quantity is 235 and the equilibrium price is $405.
a) Find an equation for the supply function's price p as a function of q as follows.
Let p = mq + b be the required linear supply function.
From the given information, the supply function passes through points (125, 75) and (150,150).
Find the slope m using the points (125, 75) and (150,150) as shown below.
m = (p2-p1)/(q2-q1)
m = (150-75)/ (150-125) = 75/25 = 3
Now find the value of b using the point (125, 75) and slope m = 3 as follows.
p = mq + b
75 = 3(125) + b
b = - 375 + 75 = -300
Therefore, the required supply function is p = 3q - 300.
b) Find an equation for the demand function's price p as a function of q as follows.
Let p = mq + b be the required linear supply function.
From the given information, the demand function passes through points (355, 45) and (330,120).
Find the slope m using the points (355, 45) and (330,120) as shown below.
m = (p2-p1)/(q2-q1)
m = (120-45)/ (330-355) = 75/-25 = -3
Now find the value of b using the point (355, 45) and slope m = -3 as follows.
p = mq + b
45 = -3(355) + b
b = 1065 + 45 = 1110
Therefore, the required demand function is p = -3q + 1110.
Find the equilibrium quantity and equilibrium price as follows.
In order to find the equilibrium quantity, equate the demand function and supply function and solve the equation solve for q as shown below as p is common.
3q - 300 = -3q + 1110
=> 6q = 1410
=> q = 235
Thus, the equilibrium quantity is 235.
Find the equilibrium price by substituting q = 235 in p = 3q -300.
p = 3 x 235 - 300
p = 705 -300 = 405
Hence, the equilibrium price is $405.
To learn more about the supply function visit: https://brainly.com/question/23029589
#SPJ4
Find the slope of the line graphed below.
Answers
Answer:
-2
Step-by-step explanation:
The line appears to cross through (2,3) and (4,-1)
You can subtract the x values and y values to determine the difference:
[tex]2 - 4= - 2 \\ 3 - ( - 1) = 4[/tex]
These can be used as the y and x values in y over x to find the slope:
[tex] \frac{4}{ - 2} = - 2[/tex]
The slope is -2
9. Divide the polynomials using synthetic division.
(2y² + 10y + 17) ÷ (y + 3)
Answers
The polynomials using synthetic division is [tex]2 y+4+\frac{5}{y+3}[/tex].
What is polynomials?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x^2 4x + 7 is an illustration of a polynomial with a single indeterminate x.
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
[tex]\frac{\left(2 y^2+10 y+17\right)}{(y+3)}$$[/tex]
[tex]$$\begin{aligned}& \text { Divide } \frac{2 y^2+10 y+17}{y+3}: \frac{2 y^2+10 y+17}{y+3}=2 y+\frac{4 y+17}{y+3} \\& =2 y+\frac{4 y+17}{y+3}\end{aligned}$$[/tex]
Divide [tex]$\frac{4 y+17}{y+3}: \quad \frac{4 y+17}{y+3}=4+\frac{5}{y+3}$[/tex]
[tex]=2 y+4+\frac{5}{y+3}[/tex]
To learn more about polynomial visit:https://brainly.com/question/11536910
#SPJ1
Solve for x. Triangle stuff
Answers
Answer:
x=9
Step-by-step explanation:
these 2 angles are supplementary angles meaning added together they will equal 180 degrees
so we can add them together and set it equal to 180
(8x-3)+(16x-33)=180
combine like terms
(8x+16x)+(-3-33)=180
24x-36=180
+36. +36
24x=216
/24. /24
x=9
hopes this helps
cual es el discriminante con secciones cónicas de la siguiente ecuación?
Answers
Por lo tanto, el discriminante es = 8/3.
¿Qué es discriminante ?Generalmente, El discriminante de una ecuación cuadrática es el término que se encuentra bajo la raíz cuadrada en la fórmula general de la ecuación cuadrática. Para encontrar el discriminante de una ecuación en la forma ax^2 + bx + c = 0, debemos calcular el término b^2 - 4ac.
En el caso de la ecuación que has proporcionado, 3x^2+3 y^2+2x-2y-15=0, no podemos utilizar la fórmula general para encontrar el discriminante, ya que la ecuación no está en la forma ax^2 + bx + c = 0. Sin embargo, podemos reescribir la ecuación en esa forma para poder aplicar la fórmula.
Para hacer esto, podemos reescribir la ecuación de la siguiente manera:
3(x^2+y^2) + 2x - 2y - 15 = 0
Luego, podemos reordenar los términos para obtener la forma ax^2 + bx + c = 0:
(x^2 + y^2) + (2/3)x - (2/3)y - 5 = 0
En esta forma, podemos ver que a = 1, b = 2/3 y c = -5.
Por lo tanto, el discriminante es b^2 - 4ac = (2/3)^2 - 4(1)(-5) = 4/9 + 20 = 24/9 = 8/3.
Leer más sobre discriminante
https://brainly.com/question/3616363
#SPJ1
let $\mathcal{s}$ be the set of real numbers that can be represented as repeating decimals of the form $0.\overline{abc}$ where $a, b, c$ are distinct digits. find the sum of the elements of $\mathcal{s}.$
Answers
The sum of the elements of S is 360
Let S be the set of real numbers that can be represented as repeating decimals
The form of the repeating decimal is 0.abc cap
Where a, b and c are distinct digits
If x = 0.abcabc
1000x = abc.abc
1000x - x = abc
999x = abc
x = abc/999
a, b, c are distinct digits
Number of combinations possible = 10 × 9 × 8
= 720 combinations
Therefore each value appear is each place value = 720/10
= 72
Sum of the digits from 0 to 9 = 45
Sum of the elements of S = (45 × 72 × 111 / 999)
= 360
Therefore, the sum of the element is 360
Learn more about repeating decimal here
brainly.com/question/11411261
#SPJ4
Sydney went to the store and bought candy that was priced according to the weight in pounds. She purchased 2 1/4 pounds of black licorice, 1 7/8 pounds of red licorice, and 1 1/2 pounds of butterscotch candy. if the candy costs $ 4.00 per pound, how much did Sydney spend on candy?
Answers
Answer:
$22.50
Step-by-step explanation:
10. A test consisting of 25 multiple-choice questions with 5 answer choices for each question is administered For each question; there is only | correct answer Let X be the number of correct answers if a student guesses randomly from the 5 choices for each of the 25 questions What is the probability distribution of X? This test, like many multiple-choice tests, is scored using penalty for guessing: The test score is determined by awarding point for each question answered correctly, deducting 0.25 point for each question answered incorrectly, and ignoring any question that is omitted. That is, the test score is calculated using the following formula Score = number of correct answers) (0.25 number of incorrect answers) + (0 number of omits) For example, the score for a student who answers 17 questions correctly, answers 3 questions incorrectly, and omits 5 questions is Score 17) - (0.25 * 3) + (0 x 5) = 16.25 Suppose student knows the correct answers for 18 questions, answers those 18 questions correctly, and chooses randomly from the 5 choices for each of the other 7 questions. Show that the expected value of the student'$ score is 18 when using the scoring formula above
Answers
Using the given formula, we have been able to prove that; the expected value of the students' score is 18 correct responses
How to solve binomial probability distribution problems?1) Let X denote the number of correct guesses, assuming that a student guesses randomly among the five options of all 25 questions. Then X has a binomial probability distribution with;
n = 25
p = 1/5 = 0.2
2) Let Y denote the number of correct responses on the seven questions for which the student guesses randomly from among the five options. Then Y has a binomial probability distribution with n = 7 and p = 0.20. Then the expected value of Y is;
E(Y) = np = 7(0.2) = 1.4
Using the scoring formula given, we have;
Score = (18 + Y) - 0.25(7 - Y) + 0(0)
= 16.25 + 12Y
The expected value of the students' score is;
E(16.25 + 12Y) = 16.25 + 12(1.4)
= 18 correct responses.
Read more about Binomial probability distribution at; https://brainly.com/question/15278907
#SPJ1
The marketing department of a large chain of automobile tire retail stores would like to pursue consumers interested in all-terrain tires. They wish to investigate the extent to which the amount of money spent on TV advertising (ADV) on Sundays is related to the sales revenue (REV) for the week- from this type of tire. They begin by selecting a random sample of 50 stores in various cities. The analyst looks at the data and notices that 9 of the stores are located in cities with warm climater year-round, and there are no off-road driving possibilities anywhere near these locations. She suggests eliminating these cities from the sample as she feels that money spent advertising these tires will have little, if any, effect on sales. Using the remaining cities, a simple regression model is determined. Regression Analysis 7² 0.862 #41 > 0.929 5, 915.247 Dep. Var. REV Regression output variables std. error Intercept
Answers
If a store decides to spend $1500 on Sunday TV ads for all-terrain tires, we can predict that 95% of the values for the revenue in those weeks from the sale of these will be between $21863.59 and $25617.41.
A company can use regression analysis to determine statistical relationships between the total sales of its products and the costs associated with promotions and advertising. The outcomes of these analyses can then be used to determine how best to allocate spending funds among, say, various products or sales regions.
n = 41
df = n - 2
df = 41 - 2 = 39
SSₓₓ = (n - 1)S²ₓ
SSₓₓ = (41 - 1) * (400)²
SSₓₓ = 6400000
y = 15531.3086 + 5.4728 * x
If, x = 1500 then:
y = 15531.3086 + 5.4728 * 1500
y = 23740.51
Prediction range of y at 95% = [tex]y + t_{\frac{0.05}{2},39 } * S_{e} * \sqrt{1 + \frac{1}{n} + \frac{(x - x_{1} )^{2}}{SS_{xx} } }[/tex]
Prediction range of y at 95% = [tex]23740.51 + 2.022691 * 915.247 * \sqrt{1 + \frac{1}{41} + \frac{(1500 - 1700)^{2} }{6400000}[/tex]
Prediction range of y at 95% = (2186.1 , 25619.92)
To know more about Regression Analysis, refer to this link:
https://brainly.com/question/28298210
#SPJ4
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE =9x-20, and AC =5x+12, what is the measure of AC?
Answers
Applying the triangle midsegment theorem, the measure of AC is: 32 units.
How to Apply the Triangle Midsegment Theorem?Since DE is a midsegment of triangle ABC, the triangle midsegment theorem therefore states that the length of DE is half of the length of the third side of the triangle, AC.
Given the following:
DE = 9x - 20
AC = 5x + 12
Find the value of x by creating an equation to solve:
DE = 1/2(AC) [based on the triangle midsegment theorem]
Substitute:
9x - 20 = 1/2(5x + 12)
Solve for x:
2(9x - 20) = 5x + 12
18x - 40 = 5x + 12
18x - 5x = 40 + 12
13x = 52
Divide both sides by 13
13x/13 = 52/13 [division property of equality]
x = 4
AC = 5x + 12
Plug in the value of x
AC = 5(4) + 12
AC = 32 units.
Learn more about the triangle midsegment theorem on:
https://brainly.com/question/12234706
#SPJ1
What is the scale factor from the drawing to the actual billboard?
The scale factor is ?
Answers
10 inches is the scale factor from the drawing to the actual billboard
What is a Scale Factor?A scale factor is a ratio of change from a drawing to real life. Typically, a scale factor is unit-less; a scale factor of 48 (or 1:48) is saying that for one unit on the page, it represents 48 of the same units in real life.
A scale factor is the ratio between corresponding measurements of an object and a representation of that object.
How to do scale drawing?Scale drawings show an image either reduced or enlarged in size. The change between the original and the scaled drawing is generally represented by two numbers separated by a colon, like 10:1 (read as “ten to one”).
The difference between the ratio numbers represents the factor by which the scaled image is enlarged or reduced. So for a 10:1 scale ratio, a 1 inch (2.5 cm) drawing will be 10 inches (25 cm) in real life.
Methods are as follows :
Adjusting Image Size by Hand- Measure the object you’ll be scaling.Choose a ratio for your scaled drawing.Convert the actual measurements with the ratio.Start drawing the perimeter with a straight segment when possible. - Refer to the original drawing frequently.Use a piece of string to check the scaled lengths of irregular images.Add details after finishing the perimeter.Changing Scale Digitally-
Scan the image or snap a pic of it with your phone.
Insert the image into a suitable program or app.
Navigate to the image layout options.
Adjust the height and width under the “Scale” heading.
Save the scaled image and you’re done.
Learn more about Scale factor by: https://brainly.com/question/25722260
#SPJ1
help thank youuu, very much
Answers
The results of division of integers are
1. -5 2. -14 3. -6 4. 4
What is an integer?
A full number, not a fraction, that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer). Integer examples include: -5, 1, 5, 8
1. -30/6
6 five times = 30
So, -30/6 = -5
2. 14/ -1
Denominator is -1, numerator remains same with sign
So, 14/ -1 = -14
3. -42/7
7 six times = 42
So, -42/7 = -6
4. -48/-12
Same signs cancel out. 12 four times = 48
So , -48/-12 = 4
To learn more about the Integer from the given link
https://brainly.com/question/17695139
#SPJ1
A square has a side length of x- 9 units. What is its perimeter in terms of x?
16
O A. x-9
16
OB.X - 36
OC. x + 36
OD. x - 36
Answers
The perimeter of the given square is 4x-36 units which have a side length of x- 9 units.
What is the perimeter of the square?The perimeter of a square is defined as the addition of the lengths of the square.
The perimeter of a square is the sum of all its sides.
Since a square has four sides of equal length, the perimeter is four times the length of one side.
Therefore, the perimeter of a square with a side length of x-9 units is :
⇒ 4(x-9) units.
This can be simplified to 4x-36 units.
Hence, the perimeter of the given square is 4x-36 units.
Learn more about the Perimeter of the square here:
brainly.com/question/11495285
#SPJ1
How many bags of marshmallows and boxes of toothpicks will each kit have? (Image below for context)
Answers
Each kit will have 3 bags of marshmallows and 4 boxes of toothpicks
How to determine the number of bags of marshmallows and boxes of toothpicksFrom the question, we have the following parameters that can be used in our computation:
Bags of marshmallows = 36Boxes of toothpicks = 48Greatest number of identical kits = 12The number of bags of marshmallows in each kit is calculated as
Bags = Bags of marshmallows/Greatest number of identical kits
Bags = 36/12
Bags = 3
The number of boxes of toothpicks in each kit is calculated as
Boxes = boxes of toothpicks/Greatest number of identical kits
Boxes = 48/12
Boxes = 4
hence, the bags are 3 and the boxes are 4
Read more about LCM and GCF at
https://brainly.com/question/12232865
#SPJ1
Rosa makes candles to sell.
Each candle is in the shape of a cuboid of height 8 cm.
The base of each candle is a square of perimeter 20 cm.
Rosa needs to know the volume of one candle.
Work out the volume of one candle.
Remember to give units with your answer
Answers
First, you need to find the length and width of the base. The perimeter of the base is 20 cm, and since the base is a square, all four sides are the same length. You can divide the perimeter by 4 to find the length of each side:
20 cm / 4 = 5 cm
So, each side of the square base has a length of 5 cm. This means the length and width of the base are both 5 cm.
Now that you know the length, width, and height of the cuboid, you can calculate the volume:
Volume = length * width * height
= 5 cm * 5 cm * 8 cm
= 200 cm^3
So, the volume of the candle is 200 cm^3.
A customer is buying bath towels and hand towels and can spend no more than $100. Each bath towel costs $8, and each hand towel costs $5. The inequality 8x+5y ≤100 represents all possible combinations of x, the number of bath towels, and y, the number of hand towels the customer can buy.
Which graph best represents the solution set for this inequality?
Answers
There is an attachment that includes the graph for the inequality 8x + 5y 100.
How do you calculate the scenario's graph?
The parameters are as follows, taken from the query:
The customer's purchase must not exceed $100.
Each bath towel costs $8.
Each hand towel costs $5.
Inequality among the available combinations is another factor that we have.
8x + 5y ≤ 100
like that
x is the quantity of bath towels, while y is the quantity of hand towels.
Plotting the inequality's graph is the following step.
A graphing tool can be used for this.
In order to attach the graph, we enter the inequality in the graphing tool.
Keep in mind that the inequality is provided as
8x + 5y ≤ 100
See the inequality graph in the attached. 8x + 5y ≤ 100
Read more about inequality here.
brainly.com/question/25275758
#SPJ1
Suppose that sin(0)=3/9. What cos(0)=____________. (round to 3 decimal
Answers
Using trigonometry identity the value of cosθ is 0.942.
What is round to 3 decimal?
Rounding to three decimal places is equivalent to rounding to the closest thousandth. Take 3.3685 as an example and round to the nearest thousandth. It is possible to round up to 3.369 or down to 3.368 because the third digit following the decimal point is 8 instead of 3.
Given that sinθ=3/9
Divide the denominator and numerator by 3:
sinθ=1/3
To find the value of cosθ, use trigonometry identity.
The trigonometry identity is sin²θ + cos²θ = 1
Solve the identity for cosθ:
Subtract both side by sin²θ:
cos²θ = 1 - sin²θ
Take square root on both sides:
cos θ = √(1 - sin²θ)
Putting sinθ = 1/3 in the above equation:
cos θ = √(1 - (1/3)²)
cos θ = √(1 - 1/9)
cos θ = √((9 - 1)/9)
cos θ = √(8/9)
cos θ = 0.9428
cos θ = 0.943 (round to 3 decimal places)
To learn more about trigonometry identity, click on below link:
https://brainly.com/question/29277098
#SPJ1
Which polynomial represents the difference below?
8x³ + 5x+6-(2x² + 3x)
OA. 10x¹0 + 8x² +6
OB. -2x7 + 8x³ + 8x+6
O C. 6x¹0+2x+6
OD. -2x7 + 8x³ + 2x+6
Answers
The difference of the given polynomials 8x³+5x+6 and 2x²+3x is 8x³-2x²+2x+6. So, the correct answer is D.
What is the subtraction of polynomials?To subtract polynomials from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Given that, 8x³+5x+6-(2x²+3x)
Group the like terms are perform the addition or subtraction
= 8x³+5x+6-2x²-3x
= 8x³+(5x-3x)-2x²+6 (Here, like terms are 5x and 3x)
= 8x³+2x-2x²+6
= 8x³-2x²+2x+6
So, the standard form of obtained polynomial is 8x³-2x²+2x+6.
The polynomials difference is 8x³-2x²+2x+6. Therefore, option D is the correct answer.
To learn more about the subtraction of polynomials visit:
https://brainly.com/question/12959016.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
Which polynomial represents the difference below?
8x³ + 5x+6-(2x² + 3x)
A. 10x+ 8x² +6
B. -2x² + 8x³ + 8x+6
C. 6x¹⁰+2x+6
D. -2x²+ 8x³+2x+6
WEIGHT A bag of apples claims to have a weight of 6 pounds. However, the actual weight is
6.241 lbs. Determine the approximate error of weight.
The approximate error of weight is
lbs.
Answers
Answer:
The approximate error of weight is 6.241 - 6 = 0.241 lbs
The approximate error of the given weight is 0.241 lbs
How to find the approximate error of weight?The approximate error of weight is the difference between the claimed weight and the actual weight, which is:
Approximate error = Actual weight - Claimed weight
As per the question, we have
Actual weight = 6.241 lbs
Claimed weight = 6 lbs
Substitute the values in the formula and we get:
Approximate error = 6.241 lbs - 6 lbs
Approximate error = 0.241 lbs
Therefore, the approximate error of weight is 0.241 lbs.
This means that the claimed weight is off by 0.241 lbs, which could be significant depending on the context.
To learn more about the standard error click here:
https://brainly.com/question/14524236
#SPJ2
2.5 Comparing Circles
Here are two circles. Their centers are A and F.
E
D
C
4 cm
A
B
H
1. What is the same about the two circles? What is different?
2. What is the length of segment AD? How do you know?
3. On the first circle, what segment is a diameter? How long is it?
8 cm
G
Answers
The same thing on both the circles is that they both have the same diameter, the length of AD is 4 cm and the segment which represents the diameter is EB.
What is a Circle?An irregular plane figure is a circle. Every spot on the circle is equally distant from the circle's fixed center. It has a radius of 1, making it a 2D shape. The Latin word "circulus," which means "little ring," is the source of the English word "circle."
As per the given information in the question,
1.
There are two circles given,
The radius of the first circle = 4 cm
Then, its diameter will be,
D = 2r = 2 × 4 = 8 cm
And, the diameter of the second circle is also 8 cm. It means that both are same on this aspect.
The second has three segments whereas the first only has two, hence the segments are distinct.
2.
The length of the segment AD will be equal to 4 cm because it is from the center of the circle to the circumference of the circle then it becomes equal to the radius, so the segment must be of 4 cm.
3.
On the first circle, the segment which represents the diameter is EB. Because as per the definition of diameter, a line connected with two points which passes through the center of circle is said to be the diameter.
To know more about Circle:
https://brainly.com/question/29142813
#SPJ1
