The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.
1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.
2. For a nonagon (a 9-sided polygon), the calculation is
(9-2) × 180° = 1,450°.
The sum of the interior angles of any polygon can be calculated using the formula
(n-2) × 180°,
where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is
(9-2) × 180° = 1,450°.
This means that the sum of the interior angles of a nonagon is 1,450°.
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A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use. In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost no more than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.
34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use
20+7m
In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use
26.3+4m
We need to find the amounts of monthly phone use will Plan A cost no more than Plan B
20+7m<26.3+4m
7m-4m<26.3-20
3m<6.3
m<2.1
Hence, 34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.
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Suppose that you have 8 cards. 5 are green and 3 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 3 yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card. G
The necessary probabilities are 3/8, 1/3, 9/64, and 37/64.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
S = { G1, G2, G3, Y1, Y2, Y3, Y4, Y5 }
G = { G1, G2, G3 }
P(G) = 3/8
E = { G2, Y2, Y4 }
P(G|E) = 1/3
P(G and E) = P(G)*P(E) = (3/8)*(3/8) = 9/64
P(G or E) = P(G) + P(E) - P(G and E) = (3/8) + (3/8) - (9/64) = (6/8) - (9/64) = (48/64) - (9/64) = 37/64
The required probability is 3/8, 1/3, 9/64 and 37/64.
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(1,46) (2,40) (3,39) (4,35) (5,30) (6,27) equation line of best fit
Answer:
ertyghujikol
Step-by-step explanation:
3456t7ujn
What does exponential growth look like on a logarithmic graph?
Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.
Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.
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At Hunter Elementary School, 73% of students buy their lunch. In a randomly selected first grade class of 19 children, find the probability that at least 12 buy their lunch. Round to 3 decimal places.
The probability that at least 12 buy their lunch = 0.887
Given that 73% of students buy their lunch.
⇒ p = 0.73
And q = 1-p
q = 0.27
sample size (the number of student selected) n = 19
We need to calculate the probability that at least 12 buy their lunch.
i.e., P(x ≥ 12)
We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(X ≥ 12)
= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]
= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025
= 0.887
The required proability is 0.887
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The amount of money in a savings account is given by � = 580(1.03)" where t is the
time in years. After how many years will the account have reached $1000? Clearly
demonstrate your strategy for figuring it out.
An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.
How the period is determined?The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.
The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:
A = 580(1.03)^t
$1,000 = 580(1.03)^18.429
Investment Period:I/Y (Interest per year) = 3%
PV (Present Value) = $580
PMT (Periodic Payment) = $0
FV (Future Value) = $-1000
Results:
N = 18.429
= 18 years and 5 months
Total Interest = $420
Thus, for the account to reach $1,000, it will take 18 years and 5 months.
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Question Completion:A = 580(1.03)^t
What are tractable and intractable problems?
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
Define tractable problem.An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.
Here,
Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.
This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.
Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
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hey! please help i’ll give brainliest
Answer: The answer is -ing (D)
Step-by-step explanation:
One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48
Answer:
d) 48
Step-by-step explanation:
1/6n = 4 + 1/12n
2/12n = 4 + 1/12n
subtract 1/12n from each side to get:
1/12n = 4
cross-multiply:
n = 48
A prism with length of 3 units, height of 3 and one-fourth units, and width of 1 unit.
What is the volume of the prism?
whole-unit cubes fit inside the prism.
quarter-cubic units fit inside the prism.
The total volume of the prism is
units3
Answer:
9 3/4 cubic units
Step-by-step explanation:
The formula for the volume of a rectangular prism =
Length × Width × Height
From the question:
Length = 3 units
Height = 3 1/4 units
Width = 1 unit.
Volume of the prism =
3 units × 3 1/4 units × 1 unit
= (3 × 13/4 × 1 )cubic units
= 39/4 cubic units
= 9 3/4 cubic units
The total volume of the rectangular prism = 9 3/4 cubic units
Answer:
✔ 9
whole-unit cubes fit inside the prism.
✔ 3
quarter-cubic units fit inside the prism.
The total volume of the prism is
✔ 9 3/4 units3.
05. Divided by 26.75
Answer:
use this link
Step-by-step explanation:https://www.calculatorsoup.com/calculators/math/math.php
F(x)=Sin2x ,x0=pi:3
f(x)=3x-x^2 ,x0=-1
Pleae help and if omeone ha dicord erver to help olve math problema pleae give me invite
The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.
What in mathematics is trigonometric?Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.
if x⁰=π in eq1
then [tex]f(x)= sin\ 2 \pi[/tex]
[tex]f(x) = 0.109[/tex]
if x⁰= -1 in eq2
then [tex]f(x)=3(-1)-(-1)^2[/tex]
[tex]f(x) = -4[/tex]
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Graph the system.
What is the estimated solution of the system?
Enter your answer in the blanks. Round each coordinate to the nearest integer.
The lines intersect closest to the integer coordinates
The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.
What is Graph of System of Linear EquationsA graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.
In the given problem, we have two linear equations which are
y = 3x - 6 ...eq(i)
y = 2/5x + 5 ...eq(ii)
Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.
The coordinates to the nearest integer are (x, y) 4 and 7
The value of x is 4 and y is 7
Kindly find attached graph below.
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The volume of a cylinder is 1,0291 cubic centimeters. The height of the cylinder is 21 centimeters. What is the radius, to the nearest centimeter, of the cylinder?
Answer:
12.49 = r
13 = r to the nearest cm.
Step-by-step explanation:
The formula to calculate the volume is:
V = π*r^2*h
We know that V = 10291 cm^3 and Height (h) = 21cm
V = π*r^2*h
10291 = π*r^2*21
Divide both side by 21
10291/21 = (π*r^2*21)/21
490.05 = π*r^2
Now divide both side by π
490.05/π = (π*r^2)/π
155.99 = r^2
Now square root both side
√155.99 = √(r^2) Note: square and square root cancel eachother out.
12.49 = r or,
13 = r
How do I solve/graph 2x + 3y <12
The graph has plotted and attached below
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
2x + 3y <12.
Here The graph have plotted and attached below.
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Find the lowest common denominator of 1/3 and 2/5
Answer:
The lowest ccommon denominator (or LCD) of 1/3 and 2/5 is 15.
Step-by-step explanation:
The lowest multiple of 3 and 5 is 3*5 = 15.
In terms with the LCD, 1/3 now equals 5/15; and 2/5 now equals 6/15.
Hope this helps :)
A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?
Answer:
8%
Step-by-step explanation:
78.84 - 73 = 5.84
Tax = $5,84
5.84 / 73 = 0.08
0.08 * 100 = 8%
Answer:
8%
Step-by-step explanation:
1. Set up the equation represented
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
x is the sales tax percentage. hence, we have to solve for x.
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
[tex]$78.84 = \frac{73x}{100} + 73[/tex]
[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73
[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100
[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73
∴ There was an 8% sales tax on the ceramic vase.
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Teresa wrote this expression to describe the total distance she was going to swim during two swim classes s+3 which situation could be described by this expression
The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression is (Number/variable, Math Operator, Number/variable)
The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.
And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.
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The complete Question is:
Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?
A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.
B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.
C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.
D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.
{1/4096, 1/1024, 1/256, 1/64}
Find the common ratio
Answer:
None of them are the same
what is the area of the triangle
Answer:
The area of the triangle is 27
A cylindrical cooler ha a diameter of 30 inche and a height of 24 inche. Runner in
a marathon can ue cone haped cup to get a drink from the cooler. If the cup have a
diameter of 3 inche and a height of 4 inche, how many full cup would be able to
be filled from the cooler?
So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.
What is volume of cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."
Given that,
diameter of cylinder = 30 inch
diameter of cup = 3 inch
height of cylinder = 24 inch
height of cup = 4 inch
Calculate the volume of the cylinder:
Volume = πr²h
putting the values we get:
Volume = (3.14)(30/2)²(24)
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
Volume = 16959 in³
Calculate the volume of the cup:
Volume = (3.14)(3/2)²(4)
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
Result
Volume = 28.26 in³
Divide the volume of the cylinder by the volume of the cup, we get:
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
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anyone know how to solve these
Answer:
amogus
Step-by-step explanation:
B)
Which would be an appropriate display for the data shown in the table?
scatter plot
histogram
circle graph
line graph
Answer:
circle graphs work well to illustrate percentages
Step-by-step explanation:
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HELPPPPPPP MEEEEE
If a trapezoid has an area of 135cm^2 and it’s height is 10cm and one base is 12 cm, find the other base length.
thxxx <333
The length of other base is 15 cm.
The area of a trapezoid can be found by using the formula:
Area = (b1+b2) * h / 2 where b1 and b2 are the lengths of the bases, and h is the height.
Given that the area of the trapezoid is 135 cm^2, the height is 10 cm, and one base is 12 cm, we can substitute these values into the formula to find the length of the other base.
Area = (b1+b2) * h / 2 = 135cm^2
We can solve for the other base length by isolating b1
b1 = 2*Area/h - b2
b1 = 2*135/10 - 12 = 27 - 12 = 15
So, the other base length is 15 cm.
Therefore, The length of other base is 15 cm.
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The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area
Answer:
162cm squared
Step-by-step explanation:
The perimeter of a rectangle can be calculated by length+length+width+width.
We know the length is 18, so our equation of finding the width is:
54-(18*2) divided by 2.
54-36=18.
18/2=9.
The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.
18*9=162
If AnB= {2,4}
AnB'= {0,1}
AUB= {0,1,2,3,4,5}, Then what is B\A?
Answer:
I don't know I'm just a grade 6 girl
Which angle measures are correct? Select three options.
O m 2= 125°
m 3 = 55°
O m 8= 55°
O m 12= 100°
O m14 = 100°
Answer:
Step-by-step explanation:
analyze the graph, we found ∠1=∠5,∠2=∠6,
one.because ∠5+∠6=180, so ∠2=∠6=180-∠5=180-55=125
two.∠3=∠2=125
three.∠8=∠5=55
four.∠12=∠9=80
five.∠14=∠10=180-∠9=100
so, the three options are ∠2,∠8,∠14
If a_1=7a
1
=7 and a_n=a_{n-1}+5a
n
=a
n−1
+5 then find the value of a_5a
5
The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.
Using the recursive formula:
a_2 = a_1 + 5a = 7a + 5a = 12a
a_3 = a_2 + 5a = 12a + 5a = 17a
a_4 = a_3 + 5a = 17a + 5a = 22a
a_5 = a_4 + 5a = 22a + 5a = 27a
so a_5 = 27a
This is the final result and no need to calculate more.
Thus the final value of a_5 is 27a.
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WHAT?
Never in my life have I ever wanted to kill math
Answer:
Y-intercept: 15
Slope: 1.3
Equation: y = 1.3x + 15
Step-by-step explanation:
Base on the table:
# of haircuts = x
Cost ($) = y
Knowing that;
y-intercept = The starting point (y)
Thus, based on the table the y-intercept is 15.
Y-intercept: 15.
To find the slope.
We first have to pick two points on the line & determine their coordinates.
Then subtract y-coordinates of these two points and also subtract x-coordinates for these two points.
After that divide the y by the x.
Shown below:
I'm going to use;
(0,15) and (1,20.5)
0 = x₁
15 = x₂
1 = y₁
20.5 = y₂
Now we do;
20.5 - 1 = 19.5
15 - 0 = 15
19.5 / 15 = 1.3
Hence, Slope = 1.3
Slope: 1.3
The equation - y = mx + b
Knowing that;
b = y-intercept
m = Slope
Substitute it in we have;
y = 1.3x + 15
Equation: y = 1.3x + 15
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