A coin is weighted so that there is a 57% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability that the first three flips resulted in "heads", and the last flip resulted in "tails". Round your answer to four decimal places.
Probability the coin will be heads = 0.57
Probability the coin will be tail = 0.43
First flipped = 0.57
Second flipped = 0.57 x 0,57 = 0.325
Third flipped = 0.325 x 0.57 = 0.185
Fourth flipped = 0.185 x (1 - 0.57) = 0.185 x (0.43) = 0.07966
Result = 0.07966 or 7.99% or 8%
done
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTFind the domain. f(x) = −4x(x − 1)(x − 3)
Answer:
Step-by-step explanation:
Why is the value of g more in terai than in the mountain?
Answer:
\( \tt{ \green{A} \orange{n} \red{s} \blue{w}e \pink{r} \purple{} \green{} \red{ } \red{} \blue{} \pink{} \purple{} \green{} \orange{} \purple{} }\)
\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)
The value of acceleration due to gravity is greater in terai than in mountain. In terai region the radius of earth is less as it lies close to the centre of the earth. Thus, the value of g is more in terai region.
\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)
Step-by-step explanation:
\( \pink{\boxed{{\colorbox{white}{- MsTiyana}}}}\)
# i hope it helps you
# mark me brainliest thank you
3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants
Please help me. It’s system of equations i really need the steps to it too. Please help me.
Step-by-step explanation:
The given equations are :
x-3y=-4 ....(1)
3x-9y=-12 ...(2)
Multiply equation (1) by 3.
3x-9y=-12 ....(3)
Subtract equation (2) from (3).
3x-9y-(3x-9y) = -12-(-12)
In these equations,
\(\dfrac{1}{3}=\dfrac{1}{3}=\dfrac{1}{3}\)
It means the given system of equations have infinitely many solutions. The lines are coincident.
A recipe for lemon bars uses 1 sticks of
butter. Ben wants to make 4 batches.
How many sticks of butter does Ben need
to make 4 batches of lemon bars?
Plss help I’ll give Brainliest it help immediately
Answer:
3.61
Step-by-step explanation:
Graph the following equation:y+4=3(x-5)
Answer:
y=3x-19 (start at -19 on the x axis and move one to the right and 3 up continuously, shown by using an arrow)
Step-by-step explanation:
You need to get the y by itself so first distribute the 3 to get y + 4 = 3x-15. Then subtract the 4 to get y = 3x - 19.
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
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which equation has the same solution as x - 12 = 40
A. x/2 = 14
B. x + 12 = 40
C. 12 - x = 40
D. x/4 = 13
Answer:
Answer: D. x/4 = 13
Step-by-step explanation:
Equations
Solve the following equation:
x - 12 = 40
Adding 12:
x = 52
Let's test each option to find which one of them has the same solution.
A. x/2 = 14
Multiplying by 2:
x = 28
B. x + 12 = 40
Subtracting 12:
x = 28
C. 12 - x = 40
Subtracting 12:
-x = 28
Multiplying by -1:
x = -28
D. x/4 = 13
Multiplying by 4:
x = 52
This last option is true.
Answer: D. x/4 = 13
For the polynomial below, -3 and -1 are zeros.
g(x)=x² +6x³
+9x²-2x-6
Express g (x) as a product of linear factors.
The complete factorization of the polynomial is:
h(x) = (x - 3)*(x - 1)*(x + 2)
Here we have the polynomial:
g(x)= x³ - 2x² - 5x + 6
And we know that x = 3 is a zero, then (x - 3) is a factor.
So if f(x) = a*x² + b*x + c
We can write:
h(x) = (x - 3)*f(x)
Let's find f(x).
Expanding that:
x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)
x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c
x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c
Comparing like terms, we can see that:
a = 1
b - 3 a = -2
c - 3b = -5
-3c = 6
With the first and last equation we can get:
a = 1
c = 6/-3 = -2
Now with one of these values and the second or third equation we can find the value of b.
b - 3 a = -2
b - 3*1 = -2
b - 3 = -2
b = -2 + 3 = 1
Then:
f(x) = x² + x - 2
The zeros of this quadratic function are given by:
x = -1±3 / 2
so, we get,
x = (-1 + 3)/2 = 1
x = (-1 - 3)/2 = -2
Then we can factorize this as:
f(x) = (x - 1)*(x + 2)
And then we can write h(x) as:
h(x) = (x - 3)*(x - 1)*(x + 2)
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complete question:
For the polynomial below, 3 is a zero.
g(x)= x³ - 2x² - 5x + 6
Express g (x) as a product of linear factors.
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
Use a sketch to find the exact value of the following expression.
Therefore , the solution of the given problem of expressions comes out to be the expression's precise number is 8/15.
What does a expression actually mean?There is a need for calculations like variable multiplication, dividing, joining, and currently removing. If you combined them, you'd get the following: A mathematical formula, some data, and an equation. Values, elements, mathematical operations like equation additions, deductions, errors, and subdivisions, as well as mathematical formulas, make up a statement of truth. It is possible to assess and analyse words and sentences.
Here,
A right triangle with an opposite side of 8 and a hypotenuse of 17 can be completed by adding the missing side using the Pythagorean equation. Make x the neighbouring side. Then:
=> x² + 8² = 17²
=> x² = 17² - 8²
=> x² = 225
=> x = 15
The triangle therefore has edges of 8, 15, and 17. As a result, the neighbouring angle's tangent is 15/8 and the sine of the angle across from the side of length 8 is 8/17. (since tangent is opposite over adjacent). In order to determine the cotangent, we can take the inverse of this tangent:
Coefficient
=> [sin⁻¹ 8/17] = 8/15
As a result, the expression's precise number is 8/15.
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What is the distance between these two points?
Answer:
Step-by-step explanation:
The two points are (-6,8) and (8,0)
we can find the distance thanks to this formula
√(x1-x2)^2 + (y1-y2)^2 where x and y indicate the coordinates of the two points
√(-6-8)^2 + (8)^2 = √196 + 64 = √260 ≃ 16,12
Which is the simplified form of r ^-7 +8 ^-12 ?
Answer:
\(\frac{1}{r^{7} + 8^{12}}\)
Step-by-step explanation:
We need to make the negative exponents positive my puting it over one.
so:
\(r^{-7} + 8^{-12}\\ =\frac{1}{r^{7} + 8^{12}}\\ =\frac{1}{r^{7} + 68719476736}\\\) <--- This answer could be right.
The price of Stock A at 9 A.M. was $15.19. Since then, the price has been increasing at the rate of $0.07 each hour. At noon the price of Stock B was $15.94. It begins to decrease at the rate of $0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
the prices of the two stocks will be the same after about 4.17 hours, or about 4 hours and 10 minutes.
Step-by-step explanation:
Let's first write the equations for the price of Stock A and Stock B after x hours from 9 A.M.
Price of Stock A = 15.19 + 0.07x
Price of Stock B = 15.94 - 0.11x
We want to find out when the prices of the two stocks will be the same, so we set the two equations equal to each other and solve for x.
15.19 + 0.07x = 15.94 - 0.11x
0.18x = 0.75
x = 4.17
Therefore, the prices of the two stocks will be the same after about 4.17 hours, or about 4 hours and 10 minutes.
The top and bottom lines are parallel. What is the value of x?
35
+
80° IX
O A. 45
B. 105
OC. 100
OD. 65
Answer:
65
Step-by-step explanation:
PLEASE HELP!!!!!
WILL MARK BRAINLIEST!!!!
Answer:
Yes (reasoning below)
Step-by-step explanation:
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Answer:
No (please see below for reasoning).
Step-by-step explanation:
Hello there!
We are given the graph of a vertical parabola and we want to figure out if it's a function or not.
A function has ONE output for every input. In other words, if you put one thing into a function, you're only going to get ONE thing back out.
One analogy to think about this is a vending machine; if you press one code (the input), you're only going to get one snack (let's say, chips), and if you a specific code, the only possible snack for that code would be the chips (the output). In simpler terms, if you press 3D on a vending machine, you're only getting the chips. You're not getting the cookies and the chips. 3D can't correspond to both chips and cookies.
One way to figure out if an equation is a function if you're given the graph is to do the vertical line test, where you will draw a vertical line through the graph. If the line hits two or more points in the graph, that means the input has more than one output, which wouldn't be a function.
So draw a vertical line through the graph.
Please see the picture below for the visual representation. Notice how the blue line hits two points on the graph. This means it isn't a function, since it means that the input (the value of x) has more than one output (the y values on the graph). Remeber that, for a function, we only can have one output for every input.
Hope this helps!
Write in ordinary form
3.6
×
10
−
1
Can some one help me on this one
Answer:
A. 1056
Step-by-step explanation:
v=length x width x height
v= 4 x 11 x 4
v= 176
since there are 6 prisms you must multiply it by 6
so, v= 176 x 6
v= 1056
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function. (1 point)
A.The domain is all integers from 0 to 6 hours.
B. The domain is all even integers from 0 to 6 hours.
C. The domain is all real numbers from 0 to 6 hours.
D. The domain is all positive real numbers.
Answer:
C.
Step-by-step explanation: the domain is all even integers from 0 to 6 hours
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x .
What is the function input when the output is 25?
Answer:
The function's input = x = -20
Step-by-step explanation:
Given the function
y = -75 - 5x
Given that the output = y = 25
substituting the value y=25 and solve to find the input 'x'
25 = -75 - 5x
5x = -75-25
5x = -100
Divide bothe side by 5
x = -20
Thus, the function's input = x = -20
Solve for x |x| = 4
Answer:
x = 2
Step-by-step explanation:
You want the value of x that satisfies x|x| = 4.
DomainThe absolute value function splits the domain of the equation into two parts.
For x < 0, the equation is ...
x(-x) = 4
x² = -4
There are no real solutions in this domain.
For x ≥ 0, the equation is ...
x² = 4
x = √4 = 2
The only solution is x = 2.
__
Additional comment
In the attachment, we have rewritten the equation to ...
x|x| -4 = 0
The graphing calculator readily identifies x-intercepts, so this is a convenient way to find the solution. You will notice that for x < 0, the graph is of -x²-4, which is never zero.
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NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Solve the following problem.
Answer: C
Step-by-step explanation:
Pythagorean's Theorem can only be used for right triangles. For the triangle above, the Law of Cosines must be used. The Law of Cosines can be used when you're given two sides and an angle. The general formula is below:
\(x^2=a^2+b^2-2abcos(theta)\)
For the triangle above:
a = 23
b = 20
∅ = 47°
Therefore:
\(x=\sqrt{23^2+20^2-2*23*20*cos(47)} =\sqrt{529+400-920cos(47)}=\sqrt{929-920cos(47)} =17.37\)
hello there looking for help here thanks. giving brainliest if able to
Answer:
angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles
Answer:
1. False Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.
2. False interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.
3. True (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.
4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)
Step-by-step explanation:
Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal
m= -2, b 7/2
Enter the equation of the line in slope-intercept form.
slope intercept form:
y=mx+b
m=-2, b=7/2
answer:
y=-2x+7/2
Can someone please help me!!!