Answer:
c
hope this helps
Celine flipped a coin 100 times. She
flipped heads 41 times and tails 59 times.
What is the experimental probability that
the next flip will be heads?
Answer:
1/2
Step-by-step explanation:
What is the value of arccos(sin(5pi/4))
Step-by-step explanation:
arccos(sin(5π/4))
= arccos(sin(-π/4))
= arccos(-√2/2)
= 3π/4.
The value of trigonometric function arccos(sin(5π/4)), π/4
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
First, we can use the trigonometric identity sin(θ) = cos(π/2 - θ) to rewrite this expression:
sin(5π/4) = cos(π/2 - 5π/4)
Next, we can use the fact that cos(x) is an increasing function on the interval [0, π], so cos(x) is unique on this interval for each value of x.
This means that the inverse cosine function, arccos, is also unique on the interval [0, π].
Therefore, we can conclude that:
0 ≤ π/2 - 5π/4 ≤ π
arccos(sin(5π/4)) = π/2 - 5π/4 = π/4.
So the answer is π/4 in radians.
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Let f (x) = √x, and let g(x) = f (x) + 5. What is the y-intercept of the graph of g(x)?
What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4
Answer: B)-4
Step-by-step explanation:
The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]
Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]
Hence, the solution is : x=-4
The correct option is B.
the product of 5 and a number is at least 20
this is the best thing i could find for you, good luck with your question,
5x is greater than or equal to -25
The product of 5 and a number is at least –25
we convert the given statement into inequality
product means multiplication
Let x be the unknown number
product of 5 and a number is 5x
5x is at least -25
For word at most we use <=
for word at least we use >=
So the expression becomes 5x <= -25
help please, i’m having trouble with this
Answer:
88
Step-by-step explanation:
88 Degrees
Answer:
92
Step-by-step explanation:
Corresding angles
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?
Answer:
$27.30
Step-by-step explanation:
$4.80×5=$24.00+$3.30=$27.30
Lala eats three times as many pancakes as her little sister Carmen. If Carmen eats m pancakes, how many pancakes does Lala eat?
Answer:21
Step-by-step explanation:1-63=90
Answer:
21
Hope this helps! :)
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)
Answer:
The radius of the hole is 0.24 feet
Step-by-step explanation:
Firstly, we need to convert the miles to feet
Mathematically;
1 mile = 5,280 feet
4.3 miles is thus;
4.3 * 5,280 = 22,704 feet
Mathematically, the volume of a cylinder is;
V = pi * r^2 * h
here, we want to get r
4200 = 3.142 * r^2 * 22,704
r^2 = 4200/(3.142 * 22,704)
r = 0.24 feet
How do I do this I need help right now
X^2 + 4x - 7x = 0
GIVE YOUR ANSWER TO THE CORRECT 2 DECIMAL PLACES
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x = -5.32, x = 1.32
Step-by-step explanation:
Ok. So to use the Complete the Square method, you divide the middle value by 2 and then square the number you get. This will give:
[tex](x^{2} + 4x + (\frac{4}{2}) ^2) - (\frac{4}{2}) ^2 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 4 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 11 = 0[/tex]
[tex](x^{2} + 4x + 4) = 11[/tex] (now factor the left side)
[tex](x + 2)(x + 2) = 11[/tex]
[tex](x + 2)^{2} = 11[/tex] (now square root both sides)
[tex]\sqrt{(x + 2)^{2}} = \sqrt{11}[/tex]
[tex]x + 2 = \sqrt{11}[/tex]
[tex]x = - 2 +/- \sqrt{11}[/tex] (+/- = plus or minus)
x = -5.32, x = 1.32
Write this whole number as a product of prime numbers.
56
Answer:
The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.
Step-by-step explanation:
Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?
Answer:
42 feet of string
Step-by-step explanation:
First, draw a diagram of the string, the height and the angle.
the length of the string is equal to the hypotenuse of the triangle
let length of the string=x
sin(θ)=opp/hyp
sin(72°)=40ft/x
x=40ft/sin(72°)
x=42.05848897ft≈42ft
The four walls and the ceiling of a cubical room need to be painted. If the height of the room is 4 m , and painting costs ₹ 20/m2 20 / m 2 , what is the total cost of painting the room?
Answer:
₹ 1920
Step-by-step explanation:
Since the room is cubical in nature, we will find the total surface area of the room
Total surface area of the cubical room = 6L²
L is the length of one side of the room
Given
L = 4m
Total surface area of the cubical room = 6(4)²
Total surface area of the cubical room = 6×16
Total surface area of the cubical room = 96m²
If the painting costs ₹ 20/m², this means;
₹ 20 = 1m²
For the total room:
x = 96m²
Divide both expressions
20/x = 1/96
x = 20×96
x = 1920
Hence the total cost of painting the room ₹ 1920
Evaluate
2-8÷-2-3-12÷-6×-2
Answer:
7
Step-by-step explanation:
2-8÷-2-3-12÷-6×-2
2 - -4 - 3 - 2 x -2
2 + 4 + -3 - -4
6 + -3 + 4
3 + 4
7 :)
solve for x and y and explain
Answer: x=9 and y=9
Step-by-step explanation: Y is in the same spot as x! Good luck! :D
I don’t understand this
Answer:
3 to 1
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
OA' : OA
= 27 : 9 ( divide both parts by 9 )
= 3 : 1
please please help!!! i'll give you brainliest!!
Answer:
x = 16√3
y = 8√3
z = 24
Step-by-step explanation:
From the figure attached,
By applying cosine rule in ΔABD,
cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{z}{24\sqrt{2} }[/tex]
z = 24
By applying sine rule in ΔABD,
sin (45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{AD}{24\sqrt{2} }[/tex]
AD = 24
By tangent rule in ΔADC,
tan(60)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{AD}{DC}[/tex]
[tex]\sqrt{3}=\frac{24}{y}[/tex]
y = 8√3
Similarly, by sine rule in ΔADC,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{AD}{AC}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{24}{AC}[/tex]
AC = 16√3
x = 16√3
what is the solution to the equation below?
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
Solve for x. Round your answer to 2 decimal places.
Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?
If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
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CAN YALL PLEASE HELP???
Answer:
x = 11, arc RB = 150°
Step-by-step explanation:
The secant- secant angle RDB is calculated as half the difference of its intercepted arcs, that is
∠ RDB = [tex]\frac{1}{2}[/tex] ( RB - EC ), that is
5x - 10 = [tex]\frac{1}{2}[/tex] ( 13x + 7 - 60 )
Multiply both sides by 2 to clear the fraction
10x - 20 = 13x - 53 ( subtract 13x from both sides )
- 3x - 20 = - 53 ( add 20 to both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Thus
arc RB = 13x + 7 = 13(11) + 7 = 143 + 7 = 150°
(05.05) Which inequality matches the graph? (2 points)
Answer: Choice C [tex]-3x+2y \ge 7[/tex]
===================================================
Explanation:
The boundary line is solid, so that means we'll be dealing with "or equal to" as part of the inequality sign. The answer is between choice A and choice C because of this.
Note how the point (0,0) is not in the shaded region. This must mean that plugging x = 0 and y = 0 into the answer will lead to a false statement.
If we plug x = 0 and y = 0 into choice A, then we get...
[tex]3x-2y \le 7\\\\3(0)-2(0) \le 7\\\\0 \le 7\\\\[/tex]
Which is a true statement, implying that (0,0) is in the shaded region. However, we're after a false statement, so we can rule out choice A.
The answer must be choice C
Let's plug (x,y) = (0,0) into choice C
[tex]-3x + 2y \ge 7\\\\-3(0) + 2(0) \ge 7\\\\0 \ge 7\\\\[/tex]
That is false because 0 is not equal to 7, nor is it larger than 7.
This helps confirm that choice C is the answer.
Answer:
C it c because i took the test
Step-by-step explanation:
PLEASE HELP!!! IS THIS CORRECT???
Answer:
yes
Step-by-step explanation:
good job, it's correct.
Pls help me with this math question. Explain your thinking pls.
Answer:
D.
Step-by-step explanation:
Compared to the others, it looks that steepest
Answer:
D by looking at it, it looks steeper
Step-by-step explanation:
Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=−x−13y=−3x+2 Select the correct answer from the drop-down menu. Choose... Graph of two lines on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. WILL MARK THE BRAINLEST
Answer:
Is a consistent independent system
Step-by-step explanation:
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent
If a system not have solution, it is said to be inconsistent
In this problem we have
----> equation A
----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
The solution is the point (7.5,-20.5)
see the attached figure
therefore
Is a consistent independent system
Please help!!!
Give an example of an equation that has the given number of solutions – must be different than the ones above.
Explain why that equation would have that many solutions and how to tell without solving it.
One Solution
No Solution
Infinite Solutions
Equation:
Explanation:
Answer:
32 Divided by 34?
Step-by-step explanation:
That good?
Can someone Help me with this ? :C and put in the Workings
Calculate the following by long or short division. Give your answers to TWO decimal places.
1.
[tex]456 \div 2[/tex]
2
[tex]538 \div 7[/tex]
Answer: 1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]
Step-by-step explanation:
The given division problems :
[tex]1.\ 456\div2[/tex]
[tex]2.\ 538\div7[/tex]
By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, [tex]456\div2 =228[/tex]
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, [tex]538\div7=76.85[/tex]