when f(x)=4, then the value of x is 2
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs:
The ordered pairs are (2, 4), (-3, 0), (- 1, -1), (4, 3)
We need to find value of x when f(x)=4
In the (x, y) ordered pair the x place represents the domain value and y place represents the range.
In the order pairs we have to look for the y value which has 4.
The corresponding element of 4 is the x value
So the value of x is 2 if f(x)=4
Hence, when f(x)=4, then the value of x is 2
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Find X and Y - 20 POINTS
Check the picture below.
A prescription indicates that 1.25 grams of a given drug should be taken
Twice a day. If the drug is available in 500 milligram tablets, how many tablets does it Will the patient take every 12 hours?
Suppose the standard deviation of X is 6 and the standard deviation of Y is 8. Answer the following two questions, rounding to the nearest whole number. What is Var[3X - 7Y] if the covariance of X and Y is 2?
Recall that
Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]
Then
Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]
Now, standard deviation = square root of variance, so
Var[3X - 7Y] = 9×6² - 42×2 + 49×8² = 3376
The general result is easy to prove: by definition,
Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²
Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]
Then
Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]
… = E[(aX + bY)²] - E[aX + bY]²
… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²
… = E[a ² X ² + 2abXY + b ² Y ²] - (a ² E[X]² + 2 ab E[X] E[Y] + b ² E[Y]²)
… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²
… = a ² (E[X ²] - E[X]²) + 2ab (E[XY] - E[X] E[Y]) + b ² (E[Y ²] - E[Y]²)
… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]
D varies as R and S, and inversely as t. D=12, R=3, S=20, and t=5, find D when R=15, S=4 and t=8.
Answer:
d = 7.5
Step-by-step explanation:
Given that,
D varies as R and S, and inversely as t. It can be written as :
[tex]D=\dfrac{kRS}{t}[/tex]
Where
k is constant of proportionality
Put D=12, R=3, S=20, and t=5 to find k. So,
[tex]k=\dfrac{Dt}{RS}\\\\k=\dfrac{12\times 5}{3\times 20}\\\\k=1[/tex]
Now put R=15, S=4, k=1 and t=8 to find D. So,
[tex]D=\dfrac{1\times 15\times 4}{8}\\\\D=7.5[/tex]
Hence, the value of d is equal to 7.5.
Jonathan’s Math test scores were 87,93, 85, 62, and 95. What was his mean score?
Answer:
the mean is 84.4
Step-by-step explanation:
have a good day
Answer: 84.4
Step-by-step explanation:
Whats 3%9 and 3-9?
pls
Answer:
3 - 9 = -6
3% of 9 = 0.27
Step-by-step explanation:
3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property
The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property
How to determine the propertyFrom the question, we have the following parameters that can be used in our computation:
3 x (5 + 1) = (3 x 5) + (3x1)
The distributive property of algebra states that
x * (a + b) = x * a + x * b
This means that
x = 3
a = 5 and b = 1
By comparison, we can conclude that the property is the distributive property
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Round your answer to 1 decimal place if needed.
NK =
JK =
The measure of arc MK =
degrees
The measure of arc JPK =
degrees
The segment lengths and the arc measures are NK = 12, JK = 24, arc MK = 53.1 degrees and arc JPK = 253.8 degrees
Calculating the segment lengths and the arc measuresFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the pythagoras theorem, we have
NK^2 = 15^2 - 9^2
NK^2 = 144
So, we have
NK = 12
Next, we have
JK = 2 * NK
So, we have
JK = 2 * 12
Evaluate the product
JK = 24
For the arc measures, we have
arc MK = arc cos(9/15)
So, we have
arc MK = 53.1 degrees
Next, we have
arc JPK = 360 - 2 * 53.1 degrees
Evaluate
arc JPK = 253.8 degrees
Hence, the measure of the arc JPK is 253.8 degrees
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A scientist collects a bacteria sample that begins with 7 million microbes. The sample doubles in the number of microbes every 30 minutes. The sample can be represented by the exponential equation, y = 7⋅2^t/30. Which of the following represents the equation solved for t?
Answers:
A. 30log(14) = t
B. 30 log (y-7/2)=t
C. 30log2(y/7) = t
D. 30log14 y = t
Answer:
sooo like my dude i dont actually dont know
Step-by-step explanation:
so my dude might be A dont fricking know fricking idiot lol bozo
Answer: i think C
Step-by-step explanation:
The graph shows the cube root parent function Which statement best describes the function?
Answer:
The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.
The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.
The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.
Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.
What is the distance between points A and B?
5
.
2
11 units
2 units
9 units
7 units
PLEADE HELP
What does no solution look like and the same to two solution, one solution?
Answer:
Is there an image?
Step-by-step explanation:
The graph of a quadratic function with vertex (2, -4) is shown in the figure below.
Find the domain and the range.
101
پہلے
<+
-10
10
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
In the graph of a quadratic function with vertex (2, -4) is shown in the figure, the Domain: -∞ < x < ∞ and Range: -4 ≤ x < ∞.
What is quadratic function?When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic function.
A polynomial of degree 2 is referred to as such because the highest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. This function is algebraic.
Domain for this quadratic function is all possible values of x where function is defined.
Thus, Domain: -∞ < x < ∞
Range is the set of value functions that correspond to the value 'x.'
Range: -4 ≤ x < ∞
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What value of k makes the following equation true? k + 6 = 18 A) 13 B) 10 C) 12 D) 11
Answer:
C
Step-by-step explanation:
We replace k with 12
12 + 6 = 18
This it's true
Thus, the answer is C
Helpppppppppppp again pleaseeeeee
Answer:
the answer is 17miles .....
Answer:
c= 17 miles
Step-by-step explanation:
try using a pythagorean calculator this will help you alot :)
How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1
This system of equations have 2 real solution.
Do fractions actually solve problems?As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.
y = 3x + 1 is a solution to 3x - y + 1 = 0.
This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.
Two points where this line crosses the circle denote actual solutions.
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please help with this i have to pass
Answer:
A ..
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
=>(c)^2=(a)^2+(b)^2
=>(c)^2=(56)^2+(33)^2
=>(c)^2=3136+1089
=>(c)^2=4225
=>c=√4225
=>c=65 metre
1 - 3/10 - 1/10 please help
Answer:
0.2 in decimal form and 1/5 in fraction form
Step-by-step explanation:
Answer:
-3/10-1/10
= -4/10
Step-by-step explanation:
-3-1=-4............
If u are supposed to reduce to simplest form
-2/5
The graph represents the number of cans produced at a factory with four machines.
What is the constant of proportionality?
A. 4
B. 5
C. 10
D. 15
PLEASE don’t answer if you don’t know the answer! Whoever answers correctly will get Brainliest :)
Answer:
15
Step-by-step explanation:
we have to divide a value of y by a value of x
(15: 1) = 15
we can check this result by do other tries.
(30:2) = 15
(45:3) = 15
(60:4) = 15
People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03
Describe the random variable X in words.
a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store
Answer:
a. X is the number of DVDs a customer rents.
Step-by-step explanation:
The distribution states that:
0.05 = 5% probability a customer rents no DVDs
0.49 = 49% probability a customer rents 1 DVD
...
0.03 = 3% probability a customer rents 5 DVDs.
Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.
3a+14b
I'm not good at math, it's my weakest subject
On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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Find the sum of the arithmetic sequence.
3, 5, 7, 9, ..., 21
Choices:
39
120
20
23
Answer:
23
Step-by-step explanation:
5-3=2
7-5=2
21+2=23
its adding 2 each time the numbers change
1 Chinese yuan= $0.14567. How many Chinese yuan can u buy for a dollar
The Chinese yuan you can buy for a dollar is 6.86483 Chinese yuan
How to determine how many Chinese yuan you can buy for a dollarFrom the question, we have the following parameters that can be used in our computation:
1 Chinese yuan= $0.14567
Divide both sides of the equation by 0.14567
So, we have the following representation
1/0.14567 Chinese yuan= $0.14567/0.14567
Evaluate the quotient
1/0.14567 Chinese yuan= $1
Evaluate the other quotient
6.86483 Chinese yuan= $1
This means that
$1 = 6.86483 Chinese yuan
Hence, you can buy 6.86483 Chinese yuan for $1
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We have a circle with a diameter of 6.5 km. What is the area of this square ?
Answer:
33.18
Step-by-step explanation:
The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.
Hope it made sense :)
solve for inequality for graph y + 4 > 1/2 {x + 2}
Answer:
y > X/2 - 3
I think that's the answer.
Only answer if you’re a hundred percent sure. The answer has to be a single number.
Answer:
The answer should be -4/1 or just -4.
Step-by-step explanation:
y/x
The change in y is reducing by 4. The change in x is adding 1
3 1/4 - 5/8 as a fraction
5/8
i convert to decinal then back to fraction, but you can do it however.
Exact Form: 21/8
Mixed number form: 2 5/8
Step-by-step explanation:
Find the total surface area of this cone.
Leave your answer in terms of t.
3 cm
4cm->
ti
SA = [ ? ] cm2
Hint: Surface Area of a Cone = mre + B
Where l = slant height, and B = area of the base
The surface area of the cone is 36π
How to find the surface area of a cone?Surface area of a cone = πr(r + l)
where
r = radiusl = lengthTherefore,
r = 4cm
l² = 4² + 3²
l² = 16 + 9
l = √25
l = 5 cm
Hence,
r = 4 cm
l = 5 cm
Surface area of a cone = π(r + l)
Surface area of a cone = 4π(4 + 5)
Surface area of a cone = 4π(9)
Surface area of a cone = 36π
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Answer: 36 pi
Step-by-step explanation:
a(n)=
2
3
(−2)
n−1 what is the 3rd term in sequence
The third term of the geometric sequence will be 8/3.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The equation is given below.
aₙ = (2/3) · (-2)ⁿ⁻¹
The third term of the geometric sequence will be given as,
a₃ = (2/3) · (-2)³⁻¹
a₃ = (2/3) · (-2)²
a₃ = (2/3) · (4)
a₃ = 8 / 3
The third term of the geometric sequence will be 8/3.
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