9514 1404 393
Answer:
a. 1.88495559215 radians
b. 5.23598775598 radians
c. 1.57079632679 radians
d. 4.93678845564 radians
Step-by-step explanation:
You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.
a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)
b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598
c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679
d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564
All angles are in radians.
__
* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.
Divide 1/4÷2/3 and express the answer in the simplest terms. If necessary, use / for the fraction bar.
1/4 ÷ 2/3 =
Answer:
3/8
Step-by-step explanation:
find the Least Common Denominator, change the numerators as needed, divide, then simplify.
Answer:
the answer is 3/8
Step-by-step explanation:
brainiest rate 5 stars and thank mee : )
plz help I will mark as brainlest!
Answer: C
Step-by-step explanation: BD And CE are 4 each, so you add those together and it’s 8 then add 5 which is 13 and add 2.5 which gives you 15.5 which is C
Find f(-2) for f(x) = 2x3x
Answer:
32
Step-by-step explanation:
Use the given functions to set up and simplify f (− 2 ) .
First,
Write the problem as a mathematical expression
Then,
Replace the variable x with − 2 in the expression.
Answer:
The answer is 24
Step-by-step explanation:
You would get this by plugging in -2 for X
2(-2)3(-2)
Then with PEMDA do parenthesis first
So (-4)(-6)
Then multiply the final together and you would get..
24
This is because two negatives equal a positive when multiplying.
3. Write an exponential function that represents the table and graph. y=0-b*
please help!!
y = -2x+ 7 has this type of slope
A.positive
B.negative
C.Zero
D.undefined
Answer:
B: Negative
Step-by-step explanation:
-2/1 is the slope which is negative.
please help quickly!!!! i only have 5 minutes left ill give brainliest
Answer:
y=1/3x+2
Step-by-step explanation:
To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer
Answer: C
Step-by-step explanation:
I had this question before
How many cyclists are at least 26 years old?
Answer:
15
Step-by-step explanation:
Delicious bakeshop sells a ratio of 3 powdered donuts to 5 glazed donuts. Which of the follow represents the ratio of powdered donuts to glazed donuts? Question 1 options: 15 to 30 15 to 18 18 to 24 21 to 35
Answer:
21 to 35
Step-by-step explanation
I aced the test
According to a magazine, % of the world's solar energy cells are manufactured in one country. Consider a random sample of five solar energy cells and let x represent the number in the sample that are manufactured in that country. The formula below gives the probability distribution for x, where . Complete parts a through d. p(x) a. Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable b
Answer:
The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely
Step-by-step explanation:
A) Explaining why x is a discrete random variable
The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. A discrete random variable is variable that contains a countable number of values contained in it and each value stands an equal chance i.e The probability of each value/outcome is between 0 and 1
Line passes (-5, -1) and (10, -7)
Answer:
[tex]y=-\frac{2}{5}x-3[/tex]
Step-by-step explanation:
Write in slope-intercept form, y = m x +b .
Answer: m = -0.4
Step-by-step explanation: -7 - (-1) = -6 and 10 - (-5) =15, m=y/x so -6/15 equals -0.4.
Hope this helps!
The amount of food that there will be at the fiesta
The number of students who attend the fiesta
Identify the independent variable and dependent variable.
I think the independent variable is the number of the students who attend the fiesta and the dependent variable is the amount of food there will be at the fiesta
A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.
Answer:
Let the parts be given as x,
180° = 3x + 1x + 4x (Because a straight angle = 180°)
=> 180° = 8x
=> 180 / 8 = x (By the law of transposition)
=> 22.5 = x
Therefore the three different angles are :
67.5° , 22.5° , 90° respectively
Check,
=> 67.5 + 22.5 + 90
=> 90 + 90
=> 180°
If my answer helped, please mark me as the brainliest!!
Thank You!
A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV within the state of Indiana. They conduct a survey of 64 randomly selected families of teen boys.They found that 12% of families had chosen to vaccinate. Which of the following is true?A. The 95% confidence interval is 12% ± the margin of error*standard deviationB. The confidence interval should not be calculated due to the small sample sizeC. A 99% confidence interval will be smaller than the 90% confidence intervalD. The central limit theorem applies to proportions only when the population standard deviation is known
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 64[/tex]
The proportion that choose to vaccinate the teen boys is [tex]\r p = 0.12[/tex]
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
Which graph represents the inequality y < -1 + 2x?
Answer:
The graph is attached down
Step-by-step explanation:
The form of the linear inequality is y < b + m x, where
m is the slope of the lineb is the y-intercept, the point of intersection between the line and the y-axis (0, b)The solution of the inequality is the area under the lineTo find which graph represents the inequality y < -1 + 2x
→ Find the y-intercept (the value of y at x = 0)
∴ b = -1
∴ The y-intercept is (0, -1)
From the given graphs we have two graphs that the line intersected the y-axis at (0, -1)
2nd graph in the 1st row
2nd graph in the 2nd row
∵ The sign of inequality is <
∴ The shaded area must be under the line
∴ The 2nd graph in the 1st row is our answer
The graph which represents the inequality y < -1 + 2x is attached down
Please help me, if correct get brainliest
Answer:
If I am correct the answer should be graph it !!!! first quadrant
corners
(0,0)
(0,3)
(1.5 , 3.5) intersection
(5,0)
evaluate 6x-4y at those corners
0
-12
-5
+9
makes sense, need big x and small y :)
Step-by-step explanation:
I apologize if I am incorrect I am only in 7th grade but I am pretty intelligent so please try it out!
please help me i really would appreciate it
Answer:
second one
Step-by-step explanation:
Write a solution to the equation x^2 = 5 using a radical.
The solution is ± √5
The value of the equation is given by x = ± √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
x² = 5 be equation (1)
On simplifying the equation , we get
x² = 5
Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root
So , taking square roots on both sides of the equation , we get
The value of x = ±√5
Therefore , the value of A is ±√5
Hence , The value of the equation is given by x = ± √5
To learn more about equations click :
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HELP ASAP. ALGEBRA 1 , ITS EASY. PLEASE HHHHEEEEEEELLLLLPPPPPPPPPP.
Question 1:
9|x/4| -10=8
Question 2:
4+|3x+3|=28
Question 3:
4|x-9|+7=67
Answer:
Question 1
9|x/4| -10=8 Answer- x= (8,-8)
Question 2
4+|3x+3|=28 Answer- x=(7,-9)
Question 3
4|x-9|+7=67 Answer- x=(24,-6)
Step-by-step explanation:
Not sure what it is, does anyone know?
Answer:
110 degrees
Step-by-step explanation:
it is 110 degrees because on a line comebinedt is 180 degrees. And you already ahve one side which is 70 degrees. So 180 minus 70 is 110 degrees.
Answer:
m5 would be 110 degrees
Step-by-step explanation:
so basically all you have to do for that problem is subtract 70 from 180
After going trick-or-treating, Jeremy is trying to
figure out how many houses he visited. Jeremy knows
he started with 9 pieces of candy in his bag and
averaged 2 candies per house. If Jeremy has 71
pieces of candy, how many houses did he visit?
evaluate f(x)=3x-6 when x=2 and x=-4
Answer:
Step-by-step explanation:
Plug in the x
f(2) = 3(-4)-6
2 = -12 - 6
2 = -18
will the square roots of perfect squares always be irrational numbers
No, the square roots of perfect squares always do not be irrational numbers.
We need to describe whether the square roots of perfect squares always be irrational numbers.
What are perfect squares?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves. Generally, we can express a perfect square as x², where x is an integer and the value of x² is a perfect square.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0).
So, the square roots of perfect squares are rational numbers and can be placed on a number line. The square roots of non-perfect squares are irrational numbers.
No, the square roots of perfect squares always do not be irrational numbers.
To learn more about the perfect squares visit:
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The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?
Answer: it is a non viable solution
If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.
Answer:
non-viable
Step-by-step explanation:
How many seconds equal 3 hours and 17 minutes?
11,820 seconds
1,020 seconds
3,060 seconds
197 seconds
Answer:
option A 11820 ok thankyou ☺️
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:
A)
A = 4w2 – 3w
B)
A = w2 – 4w
C)
A = 3w2 – 4w
D)
A = 3w2 – w
Answer:
C) A = [tex]3w^{2} - 4w[/tex]
Step-by-step explanation:
First, read through what the question is asking.
Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )
Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).
So, the length is equal to:
l = 3w - 4
and the width is equal to:
w = w
The area of a rectangle is A = l * w
Let's plug in the values.
A = (3w - 4) * w
Now, simplify:
A = [tex]3w^{2} - 4w[/tex]
A = [tex]3w^{2} - 4w[/tex] is your final answer.
I hope this helps!
Which of these describes the product of -28 and 5? A negative integer A positive fraction A negative fraction A positive integer
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
14.92 ^-^
Step-by-step explanation:
help ASAP. Which relation is a function?
Answer:
Top right graph.
Step-by-step explanation:
In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.
Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.
Write the given statement of the following theorem.
If one angle of a triangle is 90° , then the other two add to 90°.
What is the value of x in the equation -6x = 5x + 22?
Options:
A. ) –22
B. ) –2
C. ) 2
D. )22
Thank you!
Answer:
D
Step-by-step explanation:
collect like terms and divide by -11