What is the sum of the measure of the inner angle of a 13 sided polygon? A. 2340° B. 1300° C. 2700° D. 1980°
Hi there! :)
Answer:
D. 1980°
Find the sum of the measure of a 13-sided polygon using the formula:
Sum = 180(n-2), where n = number of sides
Therefore:
S = 180(13 - 2)
S = 180(11)
S = 1980°
can someone please help??
Answer:
look it up on brainly then you'll get it
Step-by-step explanation:
yes you really will
I need help on how to do this!!!?
Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.
Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.
Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.
Going from 2/5 to 4/10 has us multiply top and bottom by 2.
-----------
Similarly, 1/2 = 5/10 after multiplying top and bottom by 10
The original expression 2/5 + 1/2 turns into 4/10 + 5/10
Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10
Answer: 9/10Please help:
A holiday punch recipe calls for 1,500 mL of fruit punch, 375 mL of pineapple juice, and 1 L of ginger ale. How many liters (L) of punch will this recipe yield if doubled?
Answer:
5.75 L
Step-by-step explanation:
2(1500mL + 375mL + 1L)
=2(1875mL + 1L)
=2(1.875L + 1L)
=2(2.875)
=5.75
The recipe will yield 5.75 liters (L) of punch when doubled.
To find the total volume of punch that the recipe will yield if doubled, we need to add the amounts of each ingredient and then multiply by 2.
Original recipe:
Fruit punch: 1,500 mL
Pineapple juice: 375 mL
Ginger ale: 1,000 mL (since 1 L = 1,000 mL)
Total volume of punch in the original recipe:
= 1,500 mL + 375 mL + 1,000 mL
= 2,875 mL
Now, if we double the recipe, we need to multiply the total volume by 2:
Total volume of punch when doubled = 2×2,875 mL
= 5,750 mL
To convert this to liters (L), we divide by 1,000 since 1 liter is equal to 1,000 mL:
Total volume of punch when doubled = 5,750 mL / 1,000
= 5.75 L
Hence, the recipe will yield 5.75 liters (L) of punch when doubled.
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Question 2
A square room of side length x is made 5 m longer (its width stays the same). What is the new area
of the room?
Answer:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Step-by-step explanation:
The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side. hope this helps you :)
i will mark brainliest !!!! Which method of solving quadratic equations do you prefer: factoring, completing the square, or quadratic formula? Why? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”
I prefer solving quadratic equations with the quadratic formula. The formula is great for solving any equations like ones that factoring can’t. It is also easy to memorize and type in and check with a calculator.
I always prefer quadratic formula as compared to factoring or completing the square to solve a quadratic equation.
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."
In order to solve a quadratic equation, I always prefer quadratic formula as compared to the other methods.
In many cases, a quadratic equation can not be converted into a square or into factors.
Therefore, quadratic formula is the only method to solve all type of quadratic equation.
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Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.
Hello, please consider the following.
[tex]\begin{aligned}5(9x^2+9x+10) &= x(9x-40)\\&=9x^2-40x\end{aligned}\\\\<=> 45x^2+45x+50=9x^2-40x\\\\<=> (45-9)x^2+(45+40)x+50=0\\\\<=> 36x^2+85x+50=0[/tex]
We can estimate the discriminant, and then, the solutions and we take the largest one.
[tex]\Delta=b^2-4ac=85^2-4*36*50=25=5^2\\\\x_1=\dfrac{-85-5}{2*36}=\dfrac{-18*5}{18*4}=\dfrac{-5}{4}\\\\x_2=\dfrac{-85+5}{2*36}=\dfrac{-80}{72}=\dfrac{-8*10}{8*9}=\boxed{\dfrac{-10}{9}}[/tex]
Thank you
Prove that if four numbers are chosen from the set {l, 2, 3, 4.5.6}, at least one pair of the selected numbers must add up to 7
Answer:
Step-by-step explanation:
GIven that:
The set is : {l, 2, 3, 4.5.6}
To Prove that:
If four numbers are to be chosen , at least one pair of the selected numbers must add up to 7
From the data set given, this set has three pairs of number which can add up to 7. These are:
{1, 6} i.e 1 + 6 = 7
{2,5} i.e 2+ 5 = 7
{3,4} i.e 3 + 4 = 7
So, if four number are chosen from the set that contains six numbers, then that the possibility for such to occur is either by selecting two pairs out of the three pairs or one pair and two numbers.
Thus, in both cases, at least one pair of the selected numbers must add up to 7.
someone help please
Step-by-step explanation:
Hey, there!
Here,
[tex] = 4 {x}^{2} - 4x + 1[/tex]
[tex]or ,\: ( {2x)}^{2} - 2.2x .1 + 1[/tex]
[tex]or ,\: ( {2x - 1)}^{2} [/tex]
We got this because,
[tex]( {2x - y)}^{2} = 4 {x}^{2} - 4x + 1[/tex]
By using formula,
[tex]( {x - y)}^{2} = {x}^{2} - 2xy + 1[/tex]
Hope it helps..
Answer: (x+-0.5)²=0
Step-by-step explanation:
4x²-4x+1=0
(2x-1)²=0 ⇔ completing the square
--------------------------------------------
since the question asked for the x should be 1, then we should divide 2x by 2 so to get rid of the 2 in front of the x.
this will change the original equation into: (x+(-0.5))²=0
------------------------------------------------------------------------------------------------------------
You can also directly divide 4 from 4x²-4x+1=0 to get rid off the terms in front of x.
x²-x+0.25=0
(x-0.5)²=0
(x+(-0.5))²=0
A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Suppose that for its users from inside the country, that 80% of them log onevery day. What is the probability that a person is from the country given that he logs on the websiteevery day? Has the probability that he is from the country increased or decreased with the additionalinformation?
Answer:
The value is [tex]P (I | L ) = 0.63[/tex]
The probability has increased
Step-by-step explanation:
From the question we are told that
The percentage that are from outside the country is [tex]P(O) = 0.70[/tex]
The percentage that logs on everyday is [tex]P(L) = 0.60[/tex]
The percentage that logs on everyday that are from the inside the country is [tex]P(L | I) = 0.80[/tex]
Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as
[tex]P (I | L ) = \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }[/tex]
Where [tex]P(I)[/tex] is the percentage that are from inside that country which is mathematically represented as
[tex]P(I) = 1 - P(O)[/tex]
[tex]P(I) = 1 - 0.70[/tex]
[tex]P(I) = 0.30[/tex]
And [tex]P(L| O)[/tex] is percentage that logs on everyday that are from the outside the country which is evaluated as
[tex]P(L| O) = 1- P(L| I)[/tex]
[tex]P(L| O) = 1- 0.80[/tex]
[tex]P(L| O) = 0.20[/tex]
[tex]P (I | L ) = \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }[/tex]
[tex]P (I | L ) = 0.63[/tex]
Given that the percentage that are from inside that country is [tex]P(I) = 0.30[/tex]
and that the probability that a person is from the country given that he logs on the website every day is [tex]P (I | L ) = 0.63[/tex]
We see that the additional information increased the probability
how to solve this question
Step-by-step explanation:
A + B + C = 360
[2/3]A + B + [4/3]C = 360
[2/3]A + [4/3]B + C = 360
A + B + C = 360
We could extract from all of this that Cans A, B, C must have equal amount of paint inside in order to attain those conditions slated. Thus we could tell that the amount of paint in each can is 60L.
Answer:
A)60l
B)60l
Step-by-step explanation:
Bob and Laquisha have volunteered to serve on the Junior Prom Committee. The names of twenty volunteers,
including Bob and Laquisha, are put into a bowl. If two names are randomly drawn from the bowl without
replacement, what is the probability that Bob's name will be drawn first and Laquisha's name will be drawn
second?
Answer:
1/380
Step-by-step explanation:
Probability of Bob's name drawn first is:
1/20 as there are 20 people with equal chanceAnd probability of Laquisha's name drawn second is:
1/19 as there are 19 people left with equal chanceProbability of the two events happening is:
1/20*1/19 = 1/380 product of individual probabilitiesAnswer:
Hey there!
1/19 (1/20)=1/380, so the probability is 1/380
Let me know if this helps :)
The net of a square pyramid is shown below. What is the surface area of the pyramid?
Answer:
D. [tex] 192 cm^2 [/tex]
Step-by-step explanation:
The net of the pyramid is made up of 1 square base and 4 triangles
Surface area of the pyramid = area of square + 4(area of square)
[tex] S.A = (s^2)+ 4(\frac{1}{2}bh) [/tex]
Where,
s = 8
b = 8
h = 8
[tex] S.A = (8^2)+ 4(\frac{1}{2}*8*8) [/tex]
[tex] S.A = 64+ 4(32) [/tex]
[tex] S.A = 64+ 128 [/tex]
[tex] S.A = 192 cm^2 [/tex]
192 cm^2
Step-by-step explanation:
base = 8 x 8 = 64
1 triangle = 1/2 x 8 x 8 = 32
32 x 4 = 128
128+64 = 192 cm^2
A function f, defined on the set of positive integers, has f(1) = 2 and f(2) = 3. Also f(f(f(n))) = n + 2 if n is even and f(f(f(n))) = n + 4 if n is odd. What is f(777)?
pls answer, I'm really confused
Answer:
f(777) = 390
Step-by-step explanation:
f(1) = 2 . . . . given
f(2) = f(f(1)) = 3 . . . . given
f(3) = f(f(f(1))) = 1+4 = 5
f(5) = f(f(3)) = f(f(f(2))) = 2+2 = 4
f(4) = f(f(5)) = f(f(f(3))) = 3+4 = 7
f(7) = f(f(4)) = f(f(f(5))) = 5+4 = 9
Then the sequence of sequential function values is ...
2, 3, 5, 4, 7, 9, 6, 11, 13, ... (pattern repeats in groups of 3)
__
Each odd number of the form 4n+1 is the function value f(4n-1) = 4n+1.
Similarly, the next function value is f(4n+1) = (4n+1+3)/2.
Since 777 is 4(194) +1, we have ...
f(777) = (777+3)/2
f(777) = 390
The price of gas started out at 100¢/gallon on the 1st of the month. Every day since then, it has gone up 2¢/gallon. My car takes 10 gallons of gas. (As you might have guessed, these numbers are all fictional.) Let d equal the date (so the 1st of the month is 1, and so on). Let g equal the price of a gallon of gas, in cents. Let c equal the total price required to ll up my car, in cents.
a. Write a function g (d) that gives the price of gas on any given day of the month. ______________
b. Write a function c (g) that tells how much money it takes to ll up my car, as a function of the price of a gallon of gas. ______________
c. Write a composite function c (g (d)) that gives the cost of filling up my car on any given day of the month.
d. How much money does it take to ll up my car on the 11th of the month? First, translate this question into function notation then solve it for a number.
e. On what day does it cost 1,040¢ (otherwise known as $10.40) to ll up my car? First, translate this question into function notation then solve it for a number.
Answer:
Explained below.
Step-by-step explanation:
At the start of every month the price of gas started out at 100¢/gallon.
Then every day since, it has gone up 2¢/gallon.
The variables are denoted as follows:
d = the date
g = price of a gallon of gas
c = total price required to fill up my car, in cents.
(a)
The function that gives the price of gas on any given day of the month is:
g (d) = 100 + 2(d - 1)
The (d - 1) represent the number of times the price has gone up by 2¢/gallon.
(b)
The function that tells how much money it takes to fill up my car, as a function of the price of a gallon of gas is:
c (g) = 10 × g
Since the car takes 10 gallons of gas.
(c)
The composite function that gives the cost of filling up my car on any given day of the month is:
c (g (d)) = 10 × g (d)
= 10 [100 + 2(d - 1)]
c (g (d)) = 1000 + 20 (d - 1)
(d)
On the 11th day the price of gas has increased by 2¢/gallon for the past 10 days.
Compute the total price it takes to fill up my car on the 11th of the month as follows:
c (g (d)) = 1000 + 20 (d - 1)
c (g (11)) = 1000 + 20 (11 - 1)
= 1000 + (20 × 20)
= 1000 + 400
= 1400¢
Thus, the it takes to fill up my car on the 11th of the month is 1400¢.
(e)
The total price to fill the car on the nth day is 1040¢.
Compute the value of n as follows:
c (g (d)) = 1000 + 20 (d - 1)
1040 = 1000 + 20 (n - 1)
1040 - 1000 = 20 (n - 1)
40 = 20 (n - 1)
(n - 1) = 2
n = 3
Thus, the day on which it cost 1,040¢ to fill up the car is the 3rd day.
Complete each equation with a number that makes it true. 8⋅______=40 8+______=40 21÷______=7 21−______=7 21⋅______=7
Answer:
8.5 =40
8+32=40
21÷3=7
21-14=7
21÷7=3
Step-by-step explanation:
The missing values are 5, 32, 3, 14, and 3 after using the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
8⋅______=40
8+______=40
21÷______=7
21−______=7
21⋅______=7
We can use the arithmetic operation to find the unknown values:
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56 etc. are the numbers.
8x5 = 40
8 + 32 = 40
21 ÷ 3 = 7
21 - 14 = 7
21 ÷ 3 = 7
Thus, the missing values are 5, 32, 3, 14, and 3 after using the arithmetic operation.
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How long will it take you to drive 135 miles at a speed of 45 miles per hour?
Simplify the expression 2(-2x+4-5-3)
Answer:2 (-2x + 4 - 5 - 3)
2(-2x -4)
-4x - 8
Which choice is the solution to the inequality below?
x/10>7
O A. X>7
O B. x> 1.43
O c. X>70
D. x < 70
Answer: C. x>70
Step-by-step explanation:
x/10>7
x/10 × 10>7 × 10
x>70
Hope this helps!! :)
Which point is a solution to this system of inequalities?
y < 1/2x – 3
y + 2x > 6
Answer: C. (5, -2)
Step-by-step explanation:
Graph each equation:
Equation 1: y < (1/2)x - 3 --> m = (1/2) b = -3, dashed line, shaded below
Equation 2: y > -2x + 6 --> m = -2 b = 6, dashed line, shaded above
or plug the values into the equations. It must be TRUE for both equations:
y < (1/2)x - 3 y > -2x + 6
(7, -8) True False
(2, -3) True False
(5, -2) True True <-- This works!
(4, 1) False True
Inequalities help us to compare two unequal expressions. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
For a point to be the solution of the system of inequalities, the point when substituted in the inequalities must satisfy both the given inequalities.
A. (7, -8)
y < 1/2x – 3
-8 < (1/2)7 - 3
-8 < 0.5
y + 2x > 6
-8 + 2(7) > 6
-8 + 14 > 6
6 > 6
Since the second inequality is not satisfied, therefore, the given point is not the solution.
B. (2, -3)
y < 1/2x – 3
-3 < (1/2)2 - 3
-3 < -2
y + 2x > 6
-3 + 2(2) > 6
-3 + 4 > 6
1 > 6
Since the second inequality is not satisfied, therefore, the given point is not the solution.
C. (5, -2)
y < 1/2x – 3
-2 < (1/2)5 - 3
-3 < -2
y + 2x > 6
-2 + 2(5) > 6
-2 + 10 > 6
8 > 6
Since both the inequality are satisfied, therefore, the given point is the solution.
D. (4, 1)
y < 1/2x – 3
1 < (1/2)4 - 3
1 < -1
Since the first inequality is not satisfied, therefore, the given point is not the solution.
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Which of the following is equivalent to -21(6 - 71)?
a (0 – 21(6-71)
b (0 + 206 - 71)
c (-2 + 1)(6 – 71)
d (6-21) – (71-21)
Answer:
a
Step-by-step explanation:
-21(-65)
= - 86
A
(0-21(6-71)
(-21-65)=-86
Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5) is located at the origin. (6, 0) is located on the x-axis. (6, 0) is located at the origin.
Answer:
(6, 0) is located on the x-axis
Explanation:
For a point to be on the x-axis, its y-value must equal 0. (6, 0) has an x-value of 6 and a y-value of 0.
"(0, 5) is located at the origin" is not true because the origin is at (0, 0).
"(0, 5) is located on the x-axis" is not true because its y-value is 5, not 0.
"(6, 0) is located at the origin" is not true because the origin is at (0, 0).
The (6, 0) is located on the x-axis option (C) is correct because the y-coordinate is zero on the x-axis.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The points are (6, 0) and (0, 5).
After plotting on the coordinate plane,
For a point to be on the x-axis, its y-value must equal 0. (6, 0) has an x-value of 6 and a y-value of 0.
"(6, 0) is located at the origin" is not true because the origin is at (0, 0).
Thus, the (6, 0) is located on the x-axis option (C) is correct because the y-coordinate is zero on the x-axis.
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Welcome to Gboard clipboard, any text you copy will be saved here.
Select the correct answer.
Given
D = {xIx is a whole number}
E = {xl x is a perfect square between 49 and 100}
F={xl x is an even number between 10 and 20}
The expression Du F means...
The expression DNF means
The expression Dn E means
The expression E N F means
The expression Dn (EU F) means
Answer:
Step-by-step explanation:
D = {x | x is a whole number}
D = {0, 1, 2, 3, 4,......}
E = {x | x is a perfect square between 49 and 100}
E = {64, 81}
F = {x | x is an even number between 10 and 20}
F = {12, 14, 16, 18}
D∪F = {x | x is whole number}
D∩F = {x | x is an even number between 10 and 20}
D∩E = {x | x is a perfect square between 49 and 100}
E∩F = {null set}
D∩(E∪F) = {12, 14, 16, 18, 64, 81}
Solve for j - 1/3 = j/4 - 10/3
The value of j is equal to -4
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here: j - 1/3 = j/4 - 10/3
j-j/4 = -10/3+1/3
j = -3/0.75
j=-4
Hence, The value of j is equal to -4
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Each gallon of gas costs $3.50. Sheridan spent $42.00 on gas. Which value of x represents the number of gallons of gas that Sheridan has purchased?
Answer:
12
Step-by-step explanation:
$42.00/($3.50 per gallon) = 12 gallons
in the state of Texas, about 3/100 of the population lives in the city Fort Wroth. the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. What fraction of the population of Texas lives in Huston?
Answer:
population of Fort Worth, Texas. =9/100(x)
Step-by-step explanation:
in the state of Texas, about 3/100 of the population lives in the city Fort Wroth.
Let the population of the state of texas = X
Fort wroth population= 3/100(x)
the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. = 3*(3/100(x))
the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. =9/100(x)
The fraction of the population of Texas that lives in Huston is 9/100x.
Let the population of Texas be represented by x.
Since the state of Texas is about 3/100 of the population lives in the city Fort Wroth and the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas, then the fraction of the population of Texas lives in Huston will be:
= 3/100 × 3 × x
= 9/100 × x
The fraction of the population of Texas that lives in Huston is 9/100x.
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Jensen and Raju had the same amount of money at first. After Jensen spent
$64 and Raju spent $148, Jensen had 3 times as much money as Raju. How
much money did each boy have at first?
Step-by-step explanation:
Both of them had $x
Later
Jensen=x-64
Raju=x-148
Jensen=3*Raju
x-64=3(x-148)
x-64=3x-444
3x-x=444-64
2x=380
x=$190
A particle is moving on the x-axis. Its position is given by x = 2t^2 - 12t + 4 for times t ≥ 0
Answer:
a) - 10 m/s
b) 10 m/s
c) - 10 m/s²
Step-by-step explanation:
Given, a particle moving on the x-axis. Its position is:
x = 2t^2 - 12t + 4, t ≥ 0Let's assume unit of x is m.
For t= 0,
x = 0 - 0 + 4 = 4 mFor t = 1,
x = 2*1^2 - 12*1 + 4 = 2 - 12 + 4 = - 6 ma) Velocity at time t=1
Velocity = displacement/time = (-6- 4)/1 = - 10 m/s as it moves to the left
b) Speed at time t = 1
Speed = distance/time = (4 + |6|)/1 = 10 m/s
c) Acceleration at t = 1
Acceleration is rate of change of velocity.
It took 1 sec to change velocity from 0 to - 10 m/s
So acceleration is:
-10 m/s / 1 s = -10 m/s²Determine the equation of the tangent line to the given path at the specified value of t. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (sin(3t), cos(3t), 2t7/2); t=1
Answer:
k(t) = (sin3, cos3, 2) + [(t - 1)(cos3, -3sin3, 7)]
Step-by-step explanation:
For a path r(t), the general equation k(t) of its tangent line at a specified point r(t₀) is given by;
k(t) = r(t₀) + r'(t₀) [t - t₀] -----------------(i)
Where
r'(t) is the first derivative of the path r(t) at a given value of t.
From the question:
r(t) = (sin3t, cos3t, 2[tex]t^{7/2}[/tex]) and t₀ = 1
=> r(1) = (sin3, cos3, 2) at t₀ = 1
Find the first derivative component-wise of r(t) to get r'(t)
∴ r'(t) = (cos3t, -3sin3t, 7[tex]t^{5/2}[/tex])
=>r'(1) = (cos3, -3sin3, 7)
Now, at t₀ = 1, equation (i) becomes;
k(t) = r(1) + [ r'(1) (t-1)] [substitute the necessary values]
k(t) = (sin3, cos3, 2) + [(t - 1)(cos3, -3sin3, 7)]