Find the size of the final unknown exterior angle in a polygon whose other exterior angles are: 51°, 75°, 38°, 47°, 65° and 52
Answers
Answer:
32°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
let x be the unknown angle , then summing
x + 51° + 75° + 38° + 47° + 65° + 52° = 360° , that is
x + 328° = 360° ( subtract 328° from both sides )
x = 32°
Related Questions
Is it possible to have a function f defined on [ 2 , 3 ] and meets the given conditions? f is not continuous on [ 2 , 3 ], takes on both a maximum value and minimum value and every value in between.
Answers
Yes, it is possible to have a function f defined on [2, 3] that meets the given conditions. To satisfy the condition of not being continuous on [2, 3], we can create a function with a removable discontinuity at a specific point.
One way to achieve this is by defining f(x) as a piecewise function. We can let f(x) be equal to a constant value c for x in [2, a) and [a, 3], where a is a value between 2 and 3. This will create a hole in the graph of the function at x = a, resulting in a removable discontinuity.
To ensure that f takes on both a maximum and minimum value, we can choose different constant values for f(x) in the intervals [2, a) and [a, 3]. For example, we can let f(x) be a high value like 100 in [2, a) and a low value like -100 in [a, 3]. This way, f(x) will have a maximum value of 100 and a minimum value of -100.
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name.the point on DA whose distance from D is 2
Answers
you need to ubicate this point
Step 1
DA is a line that goes from D to A
Step 2
distance from D is 2,so move two unit to the left and to the rigth, it is D-2 and D+2 , those points are
\(\begin{gathered} D=0 \\ D-2=0-2=-2 \end{gathered}\)now, see the character for -2
-2=B
now, let's see D+2
\(\begin{gathered} D=0 \\ D+2=0+2=2 \end{gathered}\)the other point (2=F) does not work because it is not in the line DA
so, the answer is B
(the sum of 5 times a number and 6 equals 9) translate the sentence into an equation use the variable x for the unknown number does anyone know the answer to this ?
Answers
The given sentence can be translated into the equation 5x + 6 = 9, where x represents the unknown number.
It is necessary to recognize the essential details and variables in order to convert the statement "the sum of 5 times a number and 6 equals 9" into an equation. In this case, the unknown number can be represented by the variable x.
The sentence states that the sum of 5 times the number (5x) and 6 is equal to 9. We can express this mathematically as 5x + 6 = 9. The left side of the equation represents the sum of 5 times the number and 6, and the right side represents the value of 9.
By setting up this equation, we can solve for the unknown number x by isolating it on one side of the equation. In this case, subtracting 6 from both sides and simplifying the equation would yield the value of x.
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Pls, help me with this problem.
Large table: Has 10 campers eating 4 pizzas.
Small table: Has 8 campers eating 3 pizzas
The campers at each table share the pizzas equally. Which table gets more pizza per person? Please explain
Answers
what percent of 288 of is 72
no links
Answers
I think it’s 25!
Explanation: have a good day
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle B prime C prime A prime
The measure of angle ABC = The measure of angle C prime A prime B
The measure of angle BCA = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle B prime C prime A prime
Answers
Answer:
D. M<ABC = M<B'C'A'
Step-by-step explanation:
I took the test and got it right
20 points! The four tables represent functions.
Which table represents a non-linear function?
Answers
Answer:
I don't know how to do it sorry....
Find and simplify the product of the following rational expression
Answers
You can cross cancel (x-3) out of both fractions
Then you have x+2/ x times 3/4
Multiply the numerators
3(x+2)
And the denominators
x • 4 = 4x
Leaving you with 3(x+2)/4x
You can simplify it further into 3x+ 6/ 4x which is option b, though it is technically simplified with the parentheses.
A right rectangular prism has a volume of 6x^3 - 3x^2 - 45x.
a. What are expressions for the length, width, and height?
b. What is the least possible integer value of x for the rectangular solid to exist? Explain
Answers
(a) The expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3).
(b) The least possible integer value of x for the rectangular solid to exist is 4.
a. To express the length, width, and height of the right rectangular prism in terms of x, we can factor the volume expression, 6x³ - 3x² - 45x.
Factoring out the greatest common factor, 3x:
3x(2x² - x - 15)
Now, factor the quadratic expression:
3x(2x² - x - 15)
To factor the quadratic expression further, find two numbers whose product equals the constant term (-15) and whose sum equals the coefficient of the linear term (-1). These two numbers are -5 and 3.
3x(2x + 5)(x - 3)
Thus, the expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3)
b. For the rectangular solid to exist, all dimensions (length, width, and height) must be positive. Let's examine the constraints on x for each dimension:
1. 3x > 0
2. 2x + 5 > 0 → x > -5/2
3. x - 3 > 0 → x > 3
Since x must satisfy all three inequalities, the least possible integer value of x for the rectangular solid to exist is x = 4.
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Jim’s utility function is U(x, y) = xy. Jerry’s utility function is U(x, y) = 1, 000xy + 2, 000. Tammy’s utility function is U(x, y) = xy(1 − xy). Oral’s utility function is U(x, y) = −1/(10+ 2xy). Marjoe’s utility function is U(x, y) = x(y + 1, 000). Pat’s utility function is U(x, y) = 0.5xy − 10, 000. Billy’s utility function is U(x, y) = x/y. Francis’ utility function is U(x, y) = −xy.(a) Who has the same preferences as Jim?(b) Who has the same indifference curves as Jim?(c) Explain why the answers to (a) and (b) differ.
Answers
a) Jim's utility function is U(x,y) = xy, so Jerry has the same preferences as Jim because his utility function is U(x,y) = 1,000xy + 2,000.
b) Jim's utility function is U(x,y) = xy, so Tammy has the same indifference curves as Jim because her utility function is U(x,y) = xy(1-xy).
c) The answers to (a) and (b) differ because preferences refer to the combination of different goods that are most preferred by a person, whereas indifference curves refer to the combination of different goods that yield the same level of satisfaction.
(a) The utility function of Jim is U(x, y) = xy. To find who has the same preferences as Jim, we need to look for other utility functions that generate the same ranking of bundles as U(x, y) = xy.
One such utility function is U(x, y) = ln(x) + ln(y), which is the Cobb-Douglas utility function. Therefore, those who have the same preferences as Jim are those who have the Cobb-Douglas utility function.
(b) To find who has the same indifference curves as Jim, we need to look for other utility functions that generate the same set of indifference curves as U(x, y) = xy.
One such utility function is U(x, y) = kxy, where k is a constant. This is because the level curves of U(x, y) = kxy are given by xy = c, which are the same as the indifference curves of U(x, y) = xy. Therefore, those who have the same indifference curves as Jim are those who have a utility function of the form U(x, y) = kxy.
(c) The answers to (a) and (b) differ because there can be multiple utility functions that generate the same set of indifference curves. In other words, two different utility functions can generate the same ranking of bundles, but have different shapes of indifference curves. Therefore, having the same preferences (i.e., generating the same ranking of bundles) does not necessarily imply having the same indifference curves.
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What happens in a 90° clockwise/270° counterclockwise. rotation?*
Answers
Answer:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
Answer:
The formula is
P (x,y)---->P' (y, -x)
What is the ratio of classmates who like ham sandwiches to the number of classmates who like bologna and turkey sandwiches?
Answers
3/2(8w-6)
can I get the answer in simplest form
Answers
Answer: 12w-9
Step-by-step explanation:
1. Rewrite
3/2(8w - 6)
2. Distribute
(3/2 • 8) - (3/2 • 6)
3. Simplify
24w/2 = 12w
18/2 = 9
4. Subtract
12w - 9
Final answer: 12w - 9
Consider the wave packet: ψ(x)=[ 2πa 2
1
] 1/2
exp[− 4a 2
(x−⟨x⟩) 2
+i ℏ
px
]. Calculate the uncertainties ⟨Δx 2
⟩=⟨( x
^
−⟨x⟩) 2
⟩ and ⟨Δp 2
⟩=⟨( p
^
−⟨p⟩) 2
⟩, where ⟨ A
^
⟩ denotes the expectation value ⟨ψ∣ A
^
∣ψ⟩ of the observable A
^
on the state ∣ψ>.
Answers
The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.
The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.
To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.
Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
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A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
Answers
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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Mary spent $8 of the $40 that
she had. What is this as a
fraction?
Answers
Answer:
8/40 is the correct answer
a statistics professor receives an average of five e-mail messages per day from students. assume the number of messages approximates a poisson distribution. what is the probability that on a randomly selected day she will have no messages? multiple choice 0.0335 0.0000 it is impossible to have no me
Answers
The correct option is A: 0.0335. The probability that the professor will have no messages on a randomly selected day ,
can be calculated using the Poisson distribution formula, where the mean is given as 5. The formula is P(X=0) = e^(-λ) * λ^0 / 0!, where λ is the mean. Substituting the values, we get P(X=0) = e^(-5) * 5^0 / 0! = e^(-5) ≈ 0.0067 or 0.67%. Therefore, the answer is option A: 0.0335.
This means that on average, the professor is expected to receive 5 emails per day, but there is a small chance that she will receive no emails on any given day.
In this case, the probability is quite low, only 0.67%. However, it is not impossible to have no messages, even though it is unlikely.
It is important to note that the Poisson distribution is a probability model used to describe the occurrence of rare events over time or space, and it assumes that the events are independent of each other and occur randomly.
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A 120 lb st. bernard needs 0.5 m/kg of reglan syrup eve ry 12 hours for 5 days. what is the total vol- ume of reglan syrup that should be sent home?
Answers
Approximately 1360.75 mL (or 1361 mL, rounded to the nearest whole milliliter) of Reglan syrup should be sent home for the St. Bernard.
1 pound (lb) is approximately 0.4536 kilograms (kg).
So, for a 120 lb St. Bernard:
Weight in kg = 120 lb 0.4536 kg/lb = 54.43 kg
Now, we can calculate the total volume of Reglan syrup required over 5 days.
Dosage: 0.5 mL/kg
Weight: 54.43 kg
Frequency: Every 12 hours
Duration: 5 days
Total volume of Reglan syrup = Dosage per kg Weight in kg Frequency per day Duration in days
Dosage per kg = 0.5 mL/kg
Weight in kg = 54.43 kg
Frequency per day = 24 hours / 12 hours = 2 (assuming every 12 hours)
Duration in days = 5 days
Total volume of Reglan syrup = 0.5 mL/kg 54.43 kg 2 5
=1360.75 mL
Therefore, approximately 1360.75 mL (or 1361 mL, rounded to the nearest whole milliliter) of Reglan syrup should be sent home for the St. Bernard.
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39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2
을
B
2
9
.
с
2
9
IN
9
2
Answers
Answer:
For B it is A92B but for a
Step-by-step explanation:
I got it right on my test!
maria draws one marble from a bag containing 5 red, 3 green, and 4 yellow. the probability she draws a yellow marble is____
Answers
Answer:
33% or 4/12
Step-by-step explanation:
There are 5 red, 3 green, and 4 yellow, so make it into a fraction. In total there are 12 marbles(5+3+4). There are 4 yellow marbles, so the fraction would be 4/12. Turn this into a percent to get the probability. 4/12 = 0.33 = 33%
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15
Answers
Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
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Translate the following arguments into symbolic form. Then determine whether each is valid or invalid by constructing a truth table for each.
Brazil has a huge foreign debt. Therefore, either Brazil or Argentina has a huge foreign debt.
Answers
Let's translate the argument into symbolic form using the following symbols:
B: Brazil has a huge foreign debt.
A: Argentina has a huge foreign debt.
The argument can be represented as follows:
B → (B ∨ A)
To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.
The truth table for the argument is as follows:
B A B ∨ A B → (B ∨ A)
T T T T
T F T T
F T T T
F F F T
As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.
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A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.
Answers
Answer:
23 customers on payment plan B
13 customers on plan text B
Probability: 13/23
Step-by-step explanation:
5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)
Answers
Answer:
(4,1)
Step-by-step explanation:
Reflected over x = -3, new point : (1,4)
Reflected over y=x, new point = (4,1)
t(3^3\ 3^4)^5
help!!
Answers
The final expression will be given as \([\dfrac{1}{243}]\) , where the numerator is 1 and the denominator is 243.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given expression:-
E = \([\dfrac{3^3}{3^4}]^5\)
The ratio will be solved by elimination three times 3 with the denominator having four times three.
E = \([\dfrac{1}{3}]^5\)
We will calculate the three to the power five now which is 243.
E = \(\dfrac{1}{243}\)
Therefore the final expression will be given as \([\dfrac{1}{243}]\) , where the numerator is 1 and the denominator is 243.
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Solve 3kx + 24 = 9 kx for x.
Answers
Answer:
Step-by-step explanation:
3kx + 24 = 9kx
First subtract 3kx to both sides.
24 = 9kx - 3kx
24 = 6kx
Divide both sides by 6
24/6 = kx
4 = kx
Divide both sides by k.
4/k = x
In Mr. Henry’s math classroom, there are 15 girls and a total of 26 students.Write the ratio of boys to girls in the form a:b. Show your work or explain your reasoning
Answers
Answer:
well if theres 26 in all and 15 girls then there is 11 boys so the answer is
11:15
brainliest please
Step-by-step explanation:
Answer:
11:15
Step-by-step explanation:
First let us find the number of boys in the classroom:
26 total students - 15 girls = 11 boys
Now, we can write the ration:
11 (boys): 15(girls)
So, 11:15
I hope this helps! :)
Find the greatest common factor 15y^2 and 6b^3
Answers
Hey there!
• 15y²: 1, 3, 5, 15, y, y
• 6b³: 1, 2, 3, 6, b, b, b
• They both share 1 & 3... the greatest out of those two is/are: 3
• Answer: 3 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
pls help me someone (can you make it into a proportion please?)
Answers
Answer:
1 cm / 20 m = 5 cm/ 5 m
Step-by-step explanation:
the fraction on the right is incorrect because cm should be on top.
Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue marbles to purple marbles gets to go first.
Number of Marbles
Name
Blue Marbles
Purple Marbles
Rosa
10
12
Chi
5
6
Alberto
5
12
Pedro
10
6
Which player gets to go first?
Answers
Answer: Rosa would go first
Step-by-step explanation: since Rosa has 10 and 12 marbles when you add those two you get 22