A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? A. start fraction 1 over 6 end fraction B. start fraction 1 over 12 end fraction C. start fraction 2 over 3 end fraction D. one-fourth
Answer:
i got 1/4
Step-by-step explanation:
me sorry in wrong
Is (a-3) a factor of (a^3-6a^2+29)?
Jesse wants to write a function to represent the graph. He says that the period of the graph is triple that of sin x and that the equation of the graph is f(x)=3sin x. Why is he incorrect?
a. The period of the graph is twice that of sin x.
b. The frequency of the graph is triple that of sin x.
c. The equation of the graph should be f(x)=sin x/3.
d. The equation of the graph should be f(x)=3sin x.
Answer C
the value of sin(pi/2) =1
the value of sin(pi) = 0
according to the graph sin(3pi/2) = 1 and sin(3pi) =0
so the correct equation for the graph must be f(x) = sin(x/3)
Jesse is incorrect, because the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]
From the question, we understand that the period is 3 times sin x.
The above claim is wrong.
Given that, the period (B) is 3.
i.e B = 3
The function is represented as:
[tex]f(x) = \sin(\frac{2\pi}{B})[/tex]
So, we have:
[tex]f(x) = \sin(\frac{2\pi}{3})[/tex]
Represent [tex]2\pi[/tex] with x
[tex]f(x) = \sin(\frac{x}{3})[/tex]
Hence, the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]
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A bouncy ball is dropped such that the height of its first bounce is 3.5 feet and each successive bounce is 75% of the previous bounce's height. What would be the height of the 9th bounce of the ball? Round to the nearest tenth (if necessary).
Factor completely.
y^2+6y+8
Final answer:
To factor the expression [tex]y^2+6y+8[/tex] completely, we use the method of factoring binomials. The expression can be factored as (y + 2)(y + 4).
Explanation:
To factor the expression y2 + 6y + 8 completely, we need to find two binomials that multiply together to give us the original expression. Since the coefficient of the y2 term is 1, we know that the binomials will take the form (y + a)(y + b). To find the values of a and b, we need to find two numbers that add up to 6 (the coefficient of the y term) and multiply to give 8 (the constant term).
The numbers that satisfy these conditions are 2 and 4, because 2 + 4 = 6 and 2 × 4 = 8. So, we can factor the expression as (y + 2)(y + 4).
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
AND NO, it is not 33, 33.3, 66, or 66.6 percent.
Find the greatest common factor : 25p^2q^3, 15p^2q^2 and 35pq^4
Answer:
The greatest common factor is [tex]5pq^2[/tex].
Step-by-step explanation:
The given expressions are [tex]25p^2q^3[/tex], [tex]15p^2q^2[/tex] and [tex]35pq^4[/tex].
Greatest common factor of two numbers is the greatest number that divides both numbers completely.
Find factors of each expression.
[tex]25p^2q^3=5\times 5\times p\times p\times q\times q\times q[/tex]
[tex]15p^2q^2=3\times 5\times p\times p\times q\times q[/tex]
[tex]35pq^4=5\times 7\times p\times q\times q\times q\times q[/tex]
The common factors are 5,p,q and q. So, the greatest common factor of given expressions is
[tex]G.C.F.=5\times p\times q\times q[/tex]
[tex]G.C.F.=5pq^2[/tex]
Therefore the greatest common factor is [tex]5pq^2[/tex].
You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information:
Suggested retail price - $18,790
Depreciation per year - $1385 (It is assumed that this value is constant.)
The following table represents the value of the car after n years of ownership.
Answer: D on edge
Step-by-step explanation:
In a given amount of time , Nijah drove twice as far as Jared. Altogether they drove 135 miles. Find the number of miles driven by Nijah
What is the median of the data set?
42 55 27 31 17 24 65 47 39 18
A. 21
B. 35
C. 17
D. 24
The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel y miles. The scatterplot below represents the situation.
(Graph Below)
A. 32 miles
B. 42 miles
C. 48 miles
D. 54 miles
Answer:IT IS B
Step-by-step explanation:
I GOT A 100 ON MY TEST YOUR WELCOME :D
Which of the following pairs of organisms compete with each other for food?
A. squirrels and owls
B. mice and owls
C. rabbits and green plants
D. mice and rabbits
PLEASE HELP MATH WILL MARK BRAINLY ASAP PICTURE ATTACHED
Factor completely 2x3 + x2 - 18x - 9
A. (x2-9)(2x+1)
B. (x-3)(x+3)(2x-1)
C. (x-3)(x+3)(2x+1)
D. (2x-3)(2x+3)(x-1)
The factorization of the given polynomial 2x3 + x2 - 18x - 9 is (x-3)(x+3)(2x+1) and we achieve this by factoring common terms and applying the formula for difference of squares.
Explanation:To factor the polynomial 2x3 + x2 - 18x - 9, you would first tie together similar terms (if any), then check for any common factors in all the terms. In this case, we can factor this expression in two steps:
First step: Looking for common factors, we can rewrite the expression as x2(2x) - 9(2x) + x2 - 9.Second step: Then, factor using the formula for the difference of squares and you will find that the fully factored expression is (x-3)(x+3)(2x+1).Learn more about Factoring Polynomials here:https://brainly.com/question/35418869
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4x^3+2x^2+3x+4 divided by x+4
Factor completely x^2 − 36.
(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime
The function f(x) is defined as follows:
f(x)= 3x+1 if x is less than or equal to 0
2x^2 if 0
4 if c is greater than or equal to 2
determine the following values of the function
f(-3)= __
f(2)= ___
To determine the values of the function f(x) at specific points, we need to look at the different cases given in the definition of f(x).
Explanation:To determine the values of the function f(x) at specific points, we need to look at the different cases given in the definition of f(x).
If x is less than or equal to 0, then f(x) = 3x + 1. So, f(-3) = 3(-3) + 1 = -8.If x is greater than 0 and less than 2, then f(x) = 2x^2. So, f(2) = 2(2^2) = 8.If x is greater than or equal to 2, then f(x) = 4. So, f(2) = 4.Therefore, f(-3) = -8 and f(2) = 4.
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brainliest for best answer
Answer:
Step-by-step explanation:
________
Good evening ,
_______________
-4x+3y=-12
-2x+3y=-18
This system is the same as
y = (4/3)x - 4
y = (2/3)x - 6
We note that the two coefficients 4/3 and 2/3 are positives
So the right answer is C (graph 2).
___
:)
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Please help and show work. 15 points.
True or false the fraction 9/21 is in lowest terms
(Please help, urgent).
What is the value of r?
Round your final answer to the nearest whole number.
Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many times did Jenny save $250 for the month? A) 3 B) 4 C) 5
Answer:
the answer is actually 4
Step-by-step explanation:
Someone Please Help!!!
Find the radian measure of an angle of -280 degrees
Answer:-14pi/9
Step-by-step explanation:
1. Vertex (1,2), Point (2,-5)
2. Vertex (-3,6), Point (1,-2)
3. Vertex (0,5), Point (1,-2)
4. Vertex (1/4, -3/2), Point (1.3)
he difficulty of graphing a quadratic function varies depending on the form you find it in. We'll start things off relatively easily.
f(x) = a(x – h)2 + k
No, we're not lying to you; that is a quadratic function. Go ahead, multiply it out.
f(x) = ax2 + (-2ah)x + (ah2 + k)
The h and k are constants, so (-2ah) and (ah2 + k) are also constants, which we could call, say, b and c. See, you can trust us, it's totally quadratic.
When you have a parabola written out like f(x) = a(x – h)2 + k, it's in vertex form. With vertex form, you have several pieces of important information thrown at you right away. When you first meet someone, your first impression tends to stick with you. It's the same with this equation.
The sign of a tells you if the parabola opens up or down. If a is positive, it opens up. If a is being a Negative Nancy, the parabola opens down. You also know that the vertex of the parabola is at the point (h, k). Be careful with the sign of h, though.
Point D is on segment BC. Segment BC measures 8x units in length.What is the length of segment BC?units
PLEASE HELP ME OUT PLEASE!!
EXPLAIN IT PLEASE SO I CAN UNDERSTAND IT BETTER
THX
I need to write these description into the new function but I keep getting the wrong thing -.-
1.The function f(x)=(1/2)^x is translated 4 units right, reflected across the x-axis, and vertically stretched by a factor of 1.5
2.The function f(x)=ln x is translated 3 units left, horizontally compressed by a factor of 1/4 and translated 0.5 units down.
3. The function f(x)=e^x is horizontally stretched by a factor of 3, reflected across the y-axis, and translated 1 unit right.
The transformed equations for each of your base functions according to given changes are f(x) = -1.5*(1/2)ˣ⁻⁴, f(x) = ln(4×(x+3))-0.5, and f(x)=e⁻³×(x-1) respectively.
Explanation:1. The transformed function for your first one, namely f(x)= (1/2)ˣ, after being translated 4 units right, reflected across the x-axis, and vertically stretched by a factor of 1.5 would be f(x) = -1.5×(1/2)⁽ˣ⁻⁴⁾.
2. Your second function, f(x) = ln(x), after being translated 3 units left, horizontally compressed by a factor of 1/4, and translated 0.5 units down becomes:
f(x) = ln(4×(x+3))-0.5.
3. Your final function, f(x)=e^x, when it's horizontally stretched by a factor of 3, reflected across the y-axis, and translated 1 unit right, would transform into: f(x)=e⁻³×(x-1).
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Which step will get you closest to the solution of this equation? 5⋅(x−2)=7
What is the second term when 3+2x^2-3x^4+x3