Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.
What is the circumference of a circle?
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex].
This measure is equivalent to the length of an arc of 360º.
In this problem, we have that the radius is of r = 3m, hence the circumference is given by:
C = 6 pi m.
Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.
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Three coins are tossed. Find the probability that 2 land on heads
Answer:
1/8
Step-by-step explanation:
Probability denotes the possibility of something happening. It is a field of mathematics that studies the probability of a random event occurring. From 0 to 1.
the value is expressed.
When a coin is tossed, the chance of it landing on heads is 1/2, and vice versa.
So, we divide 1/2 by the number of times it lands on heads to get 1/4. However, when the second one landed on tails, we must multiply it by 1/2 again, making 1/4 x 1/2 = 1/8.
hope this helps:)
Which equation can pair with x 2y = 5 to create an inconsistent system? 2x 4y = 3 5x 2y = 3 6x 12y = 30 3x 4y = 8
The equation that can pair with x + 2y = 5 to generate an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A inconsistent system is a system that has no solution, that is, when the coefficients of x and y are multiplies, but the result is not. Hence, the option that gives an inconsistent system is given by:
2x + 4y = 3.
As when we try to solve the system, we would end up with the following situation:
[tex]0x = c, c \neq 0[/tex].
Which is impossible.
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A line passes through the points (-4,3) and (0, 0). What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
ΔY / ΔX, or change in y divided by change in x
(-4,3) and (0, 0)
x increases by 4
y decreases by 3
-3/4
Answer:
It is -3/4
Step-by-step explanation:
Here are some numbers.
8 11 13 18 25 37
8 13 18 is an arithmetic progression and the rule is to add 5.
Use three of the numbers to make a different arithmetic progression.
Describe the rule.
Answer:
Below.
Step-by-step explanation:
11 18 25 is also an A. P. and the rule is add 7.
Answer:
11,18,25
Step-by-step explanation:
11,18,25 is the new arithmetic progression the rule is add 7
Question 1 (Multiple Choice Worth 1 points)
(03.01 MC)
Solve 7/3+2V9 and explain whether the answer is rational or irrational.
O The answer 9/12 is rational because the sum of a rational number and irrational number is a rational number.
The answer 9/12 is irrational because the sum of a rational number and irrational number is an irrational number.
The answer 773 +6 is rational because the sum of a rational number and irrational number is a rational number.
The answer 713+6 is irrational because the sum of a rational number and irrational number is an irrational number.
Answer:
The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.
Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____
Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
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how to answer this question ?
The sides
12-3a
12-3a
4(2a-5)=8a-40
so for perimeter we + them
(12-3a)+(12-3a)+(8a-40)
=
2a-16
Question 4 (1 point)
(01.01)
Evaluate 48 + 24 = 8-22. (1 point)
O a
ob
51
c
Od
the answer is A 47
Step-by-step explanation:
48+24÷8-2²
48+3-2²
48+3-4
=47
hope it helps!
Noemi decide hacer una cadena de solidaridad. Para esto
ella pide $500 a tres amigos, al día siguiente cada uno de los
amigos pide $500 a otros tres amigos y así sucesivamente.
A) ¿Cuánto dinero se habrá recaudado al 5° día?
B) ¿Cuántas personas colaboraron durante los primeros 5
días?.
The amount of money collected after 5 days is $181,500
The number of people that collaborated during the first 5
days is 363 people
Calculations and Parameters:To solve this problem, we would use the Geometric Progression with the formula:
[tex]\frac{a(r^n -1)}{r-1} \\[/tex]
Where:
r= 3
a= 3
n= 5
[tex]\frac{3(3^5 - 1)}{3-1} \\[/tex]
= [tex]\frac{3(243 -1)}{2}[/tex]
121 * 3 = 363 people.
Therefore, the amount contributed is $500 * 363= $181,500
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Which is the graph of g(x) = (0.5)* + 3 – 4?
Answer:
The graph will be an exponential function that crosses the y-axis at about (0, -4).
what is -3(4+(-7) + (-2( 5) -17) with examples pls
Answer:
2
Step-by-step explanation:
-3 (4 - 7) + (2 x 5 - 17)
-3 (4 - 7) + (10 - 17)
-3 x (-3) + (-7)
9 + (-7)
9 - 7
=2
What is the scale factor for the dilation below?
See picture for full problem. Please and thank you so very much!!!!
Answer:
The answer is 5
Step-by-step explanation:
Divide the original x-axis value by the x-axis value after dilation. So, point G' has an x-axis value of 2, and point G has an x-axis value of 10. If you divide 10/2, you get 5.
prove that the point [1,2] is equidistance from the point [4,-2], [5,-1] and [-2,6]
Step-by-step explanation:
Proof: equidistance means at an equal distance from two points
so: Take the distance formula and then plug the values in and compare.
Find all the zeros of f(x).
f(x) = 3x4 + 11x3 + 11x2 + x - 2
Arrange your answers from smallest to largest.
If there is a double root, list it twice.
Answer:
-2, -1, -1, 1/3
Step-by-step explanation:
A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...
-2, -1, -1, 1/3
__
The rational root theorem tells you that rational roots will be from the set ...
{±1/3, ±2/3, ±1, ±2}
Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.
The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).
Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.
9,390 chairs at 1,565 tables =
chairs per table
---Divide by 1565
9390 chairs / 1565 tables
6 chairs / table
Hope this helps!
find the surface area of this cylinder, round to the nearest tenth
I'll give brainliest
Answer:
113.1
A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1
A charity received 240 donations. The total amount received was 7,680. If x represents the average donation, which THREE statements are
correct?
Answer:
x=32
Step-by-step explanation:
The function is defined over the interval [2, 5]. if the interval is divided into equal parts, what is the value of the function at the right endpoint of the th rectangle?
The value of the function at the right endpoint of the rectangle is 5 +6k/n.
What is the endpoint about?In the question above;
Th width of the interval is said to be (5 -2) = 3.
So, the width of one of n parts of it = 3/n
To solve for the differences that exist between the left end point of the interval and the value of x at the right end of the k-th rectangle, one can say that:
k·(3/n) = 3k/n
Note that the value of x at shows the point of difference added to the interval's left end and thus it will be: 2 + 3k/n
Therefore, the value of the function for the value of x will be:
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
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On a map one inch is equal to 125 miles. There are six inches between Happyville and Glumtown. How many miles are between the two towns?
(I will make brainliest)
Step-by-step explanation:
6x125=750 hope this helps
Part D What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
Part F about what is the average change in distance for each increase of 1 iron number? what does this mean in terms of the situation
The y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
What is y-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the y-axis.
In the graph it can be seen that the correct graph is intersect y-axis at the value 185. Thus, the y-intercept of the correct graph is 185.
c=185
For the incorrect graph this value is 195. Thus, the y-intercept of the incorrect graph is 195.
b=195
Here, the values of y-intercepts are not the same-
c≠b
185≠195
The average change in distance for each increase of 1 iron number is,
[tex]r=\dfrac{155-145}{3-4}\\r=-10[/tex]
Thus, the y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
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What's the answer!!!!! ASAP
The number of hits the player that most outperformed the predicted number of home runs based on the model is: 163 hits.
What is a Model?A model can be represented by an equation in slope-intercept form which can be used to make predictions between the association or relationship between two variables.
From the details about the predictions given in the table above, 7 players outperformed the predicted number of home runs.
However, the player that outperformed the predicted number of home runs the most is the player that had 31 home runs with a predicted home run of 23.
The number of hits the player had was 163.
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The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.
A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.
Which of the following is a true statement regarding the information shown in the histogram?
T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.
Answer:
Its a categorical variable
Step-by-step explanation:
I took the test on edge
Answer:
T-shirt size is a categorical variable.
Step-by-step explanation:
I used chatopenai.com
Find the sum of all positive integers less than 200 that are divisible by 7.
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
If p(a) = 0.60 and p(b) = 0.20, then a and b are independent events if
a. p(a and b) = 0
b. p(a and b) = 0.12
c. pla or b) = 0.80
d. pa or b) = 0.12
If A and B are independent variables, P(A and B) =0.12. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, p(a)=0.60 and p(b)=0.20.
If A and B are independent variables,
P(A and B) =P(P∩B)= P(A) × P(B)
Here, P(P∩B)=0.60×0.20
= 0.12
Therefore, option B is the correct answer.
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PLEASE HELP THIS IS DUE AFTER 20 MINS!! I’LL GIVE BRAINLIEST!
Answer:
lol
Step-by-step explanation:
lol
ASAP Pls! 6. Which of the following statements about the picture are true? Select two.
(^Image Attached Below^)
Choices:
[] Point A is on the bisector of ∠TXR.
[] Point A is on the perpendicular bisector of Line XT.
[] Point A is on the perpendicular bisector of Line XR.
[] Point A is not on a bisector.
[] Point A is equidistant from points T and R.
I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!
Answer:
Yes, your choices are correct ...First and last points are true:)
88+36 is the same as ? + 34
Answer:
The answer would be 90.
Step-by-step explanation:
There are two ways to solve this problem.
Option 1: See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)
Hey there!
88 + 36 VS ? + 34
88 + 36 VS x + 34
88 + 36 = x + 34
124 = x + 34
NEW EQUATION:
124 = x + 34
x + 34 = 124
SUBTRACT 34 to BOTH SIDES
x + 34 - 34 = 124 - 34
SIMPLIFY IT!
x = 124 - 34
x = 90
Therefore, the mystery number/answer is: 90
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Using the numbers 1 2 3 4 5 6 7 8 place each number once in the appropriate box so that the final answer is an ancient approximation of Pi
The approximated value of π using the integer digits 1 2 3 4 5 6 7 8 is is 3.142857
How to approximate the value of π?The integers are given as:
1 2 3 4 5 6 7 8
The value of π is:
π = 22/7
Evaluate the quotient
π = 3.14285714286
From the question, the digits 1 to 8 have to appear just once.
So, we approximate the number up to the point where any of the given digits has more than one occurrence.
So, we have:
π = 3.142857
Hence, the approximated value of π is 3.142857
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PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!
Answer:
[tex]\boxed{\bf 7 \times 10 {}^{ - 3}} [/tex]
Step-by-step explanation:
[tex] \cfrac{6.3}{9} \times \dfrac {10 ^{ - 5} }{10 {}^{ - 3} }[/tex][tex]0.7 \times \cfrac{10 {}^{ - 5} }{10 {}^{ - 3} } [/tex][tex]0.7 \times 10 { }^{ - 5 - 3 \times - 1} [/tex][tex]0.7 \times 10 {}^{ - 5 + 3} [/tex][tex]0.7 \times 10 { }^{ - 2} [/tex]Write 0.7 *10^-2 into scientific notation:
[tex]7 \times 10 {}^{ - 3} [/tex]Hope this helps! ^^"
Answer:
[tex]7 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{6.3 \times 10^{-5}}{9 \times 10^{-3}} & =\dfrac{6.3}{9} \times \dfrac{10^{-5}}{10^{-3}}\\\\& = 0.7 \times \dfrac{10^{-5}}{10^{-3}}\end{aligned}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\begin{aligned}\implies 0.7 \times \dfrac{10^{-5}}{10^{-3}} &=0.7 \times 10^{-5-(-3)}\\& = 0.7 \times 10^{-2}\end{aligned}[/tex]
[tex]\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 \times 10^{-1}:[/tex]
[tex]\implies 0.7 \times 10^{-2}=7 \times 10^{-1} \times 10^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \times a^c=a^{bc}:[/tex]
[tex]\implies 7 \times 10^{-1} \times 10^{-2}=7 \times 10^{-3}[/tex]
triple the sum of x and 5
Answer:
The expression becomes 3(x+5) = 3x+15