Answer:
Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.
2
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−
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=
16
,
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4
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8
=
2
(
3
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The graph of a function f(x) passes through the following points:
(0,2), (1, 0), (-1,-4)
Which of the following could be f(x)?
O f(x) = 2x - 2
O f(x) = 2x² - 2
○ f(x) = - 2x - 2
○ f(x) = 2√x-2
The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)
Let
f(x) = ax² + bx + c
Plug x = 0, and y = 2
c = 2 ...(1)
Plug x = 1 and y = 0
a + b + c = 0 ..(2)
Plug x = -1 and y = 0
a - b + c = 0 ...(3)
After solving (1), (2), and (3)
a = -2
b = 0
c = 2
f(x) = -2x² + 2
Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
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HELP ME ASAPPP
Write the standard equation of a circle with center (2, 1) and radius 8.
Answer:
C
=
(
a
,
b
)
the center coordinates of circle
a
=
2
,
b
=
−
1
,
r
=
8
Step-by-step explanation:
Find ∠L using law of sines
Answer:
29°
Step-by-step explanation:
:)
g (1) = type your answer.
g (-12)= type your answer
The numeric values of the graphed function are given as follows:
g(1) = 4.g(-12) = -10.How to obtain the numeric values from the graph of a function?To obtain the numeric values of a function from its graph, you can use the following steps:
Determine the x-value of the point on the graph where you want to find the corresponding y-value.Locate the point on the y-axis that corresponds to the x-value you found in step 1.Read the y-value off the y-axis at the point you located in step 2. This is the numeric value of the function at the x-value you found in step 1.When x = 1, the point with a closed circle is at y = 4, hence the numeric value is given as follows:
g(1) = 4.
When x = -12, we have that y = -10, hence the numeric value is given as follows:
g(-12) = -10.
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Using the slope formula, find the slope of the line through the given points.
(7,9) and (9,5)
Answer:
-2
Step-by-step explanation:
The slope formula is change in y over change in x, so we take the y coordinates of the pair of points, and divide it by the x coordinates of the pair of points to get:
\(\frac{9-5}{7-9}\)
Simplifying this we get:
\(-2\)
Least common denominator of 11/12 and 3/4
Answer:
12
Step-by-step explanation:
LCD = 12
Hope this helps!
Fill in the blank
Perpendicular lines meet at_______
Answer:
Perpendicular lines intersect at a 90-degree angle.
Answer:
Perpendicular lines meet at the same line
list 10 Objects that are vertical and horizontal and are found in the classroom
Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.
In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:
Vertical objects in a classroom:
1. Door 6. Clock
2. Cabinet 7. Electrical outlets
3. Bookshelf 8. Light switches
4. Whiteboard 9. Window blinds
5. Flagpole 10. Bulletin board
Horizontal objects in a classroom:
1. Desks 6. Keyboard trays
2. Chairs 7. Carpet tiles
3. Tables 8. Ceiling tiles
4. Countertops 9. Whiteboard markers
5. Shelves 10. Paper trays
These are just a few examples of vertical and horizontal objects that can be found in a classroom.
It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.
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Need help please hurry.IF ABC~DEF find the value of x and y.
ANSWER :
∠D = y = 65 and ∠F = x = 45
Step-by-step explanation:
wind speeds, represented by random variable , in , have a lognormal distribution. in other words, is normal. if , and , what value of (the standard normal rv) is associated with a wind speed of ?
Wind speeds, represented by random variable X, have a lognormal distribution. The corresponding value of the standard normal random variable (Z) is associated with a wind speed of 14.35 is 25.5
Wind speeds represented by random variable X, in miles per hour, have a lognormal distribution. In other words, log(X) is normal.
If \(\mu = 4.8\) and \(\sigma = 0.4\), what value of Z (the standard normal rv) is associated with a wind speed of 15 miles per hour.
The value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour.
The standard score (z) of a random variable X is calculated as follows:
\(z = \frac{(X - \mu)}{\sigma}\)
Given: μ = 4.8, σ = 0.4
Let X be a wind speed 15 mph.
To find the standard normal rv Z associated with a wind speed of 15 miles per hour, we will use the formula for calculating the standard score (z):
\(z = (X - \mu) /\sigma \\z = (15 - 4.8) / 0.4\\z = 25.5\)
Therefore, the value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour is 25.5.
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Find the value of the six trigonometric function for the angle in standard position determined by the point (-1,2)
Step-by-step explanation:
x= -1
y= 2
r = √(-1)²+2² =√1+4=√5
sin a = 2/√5
cos a = -1/√5
tan a = 2/-1= -2
sec a = √5/-1 =-√5
csc a = √5/2
cot a = -1/2
in which of the cases shown below is the torque provided by the applied force about the rotation axis biggest? for all cases, the magnitude of the applied force is the same F1 F2 F3 F4 all of themm O none of them
None of them.To determine which case provides the biggest torque about the rotation axis, we need to consider the factors that affect torque.
Torque is calculated as the product of the magnitude of the applied force and the perpendicular distance from the force to the rotation axis. In other words, torque = force * lever arm.
Given that the magnitude of the applied force is the same for all cases, we only need to consider the lever arm or the perpendicular distance.
Among the options provided (F1, F2, F3, F4), the case with the biggest torque will be the one with the largest lever arm or the greatest perpendicular distance from the fraction force to the rotation axis.
we cannot determine which one has the largest lever arm or the biggest torque.
Therefore, the answer is: None of them.
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The sum of two numbers is -132. If twice the smaller number is one more than three times the largernumber, what are the two numbers?
Let the smaller number =x
Let the larger number = y
The first sentence states that the sum of the numbers is -132
\(x+y=-132\ldots\ldots\ldots\ldots\ldots..(eqn\text{ 1)}\)The second sentence stated that twice the smaller number is one more than the larger number
\(\begin{gathered} 2x-1=3y\ldots\ldots\ldots\ldots\ldots\text{.}(\text{eqn 2)} \\ \end{gathered}\)Solving simultaneously, let's make x the subject of the formula in Eqn 1
\(x=(-132-y)\ldots\ldots\ldots\ldots\ldots(\text{eqn 3)}\)Substitute eqn 3 in eqn 2 we will have ,
\(\begin{gathered} 2x-1=3y \\ 2(-132-y)-1=3y \\ -264-2y-1=3y \\ By\text{ collecting like terms we will have} \\ -264-1=3y+2y \\ 5y=-265 \\ \text{divide both sides by 5} \\ \frac{5y}{5}=-\frac{265}{5} \\ y=-53 \end{gathered}\)to find x substitute y=-53 in eqn 3
\(\begin{gathered} x=-132-y \\ x=-132-(-53) \\ x=-132+53 \\ x=-79 \end{gathered}\)Therefore,
The numbers are -79 and -53
\(\begin{gathered} \text{CHECK!!!} \\ x+y=-132 \\ -79+(-53)=-79-53=-132(\text{correct)} \end{gathered}\)\(\begin{gathered} \text{CHECK!!!} \\ 2x-1=3y \\ 2(-79)-1=3(-53) \\ -158-1=-159 \\ -159=-159(\text{correct)} \end{gathered}\)______is there a commutative property of subtraction for rational numbers
No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.
The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.
Let's consider an example to demonstrate this:
Take the rational numbers 3/4 and 1/2.
If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)
= -1/4.
If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)
= 1/4.
As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.
The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.
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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.
Explanation:In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.
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What is the sum of the infinite geometric series?
25 minus 10 plus 4 minus eight fifths plus continuing
The series diverges.
5/2
50/7
125/7
87/5
The sum of infinite geometric series is
\(25 - 10 + 4 - \frac{8}{5}\)
is \(\frac{125}{7}\)
What is geometric series?
The series where the ratio between the consecutive terms of the series are same is called geometric series.
The sum of infinite geometric series is
\(25 - 10 + 4 - \frac{8}{5}\)
Here
common ratio (r) = \(-\frac{10}{25} = -\frac{2}{5}\)
Here r lies between -1 and 1
So the given geometric series converges
First term is 25
Sum =
\(\frac{25}{1 -(-\frac{2}{5})}\\\\\frac{25}{\frac{5+2}{5}}\\\\\frac{25}{\frac{7}{5}}\\\\\frac{25 \times 5}{7}\\\\\frac{125}{7}\)
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Which of the following represents the lowest speed in miles per hour?
A. 6 miles in 18 hour
B. 11 miles in 14 hour
C. 16 miles in 38 hour
D. 20 miles in 12 hour
Answer:
D
Step-by-step explanation:
Aaaaaaaaaaaaaaaaaaaa
What is the surface area of this sphere? Use ≈ 3.14 and round your answer to the nearest hundredth.
the raduis is 2 yd
5. Write the negation of each of the following statements:
a. R: Ron went to school.
b. S: A triangle has 3 sides.
c. T: x=9
d. U: 20 is a multiple of 3.
The negation of the following statements are a. R: Ron did not go to school. b. S: A triangle does not have 3 sides. c. T: x ≠ 9 d. U: 20 is not a multiple of 3.
What is negation?It's vital to know the opposite of a particular mathematical statement from time to time in mathematics. This practice is known as "negating" a claim. Remember that if a claim is true, then the negation must be false.
The negation of the following statements is:
a. R: Ron did not go to school.
b. S: A triangle does not have 3 sides.
c. T: x ≠ 9
d. U: 20 is not a multiple of 3.
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45% of $80=$___
Pls help
Answer:
$36
Step-by-step explanation:
.45 × 80 = 36
or
45/100 × 80 = 36
Answer:
$ 36
Step-by-step explanation:
hope it helps !
......
Find the volume of the sphere:
A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters
Work Shown:
r = 6 = radius
V = volume of a sphere of radius r
V = (4/3)*pi*r^3
V = (4/3)*pi*6^3
V = 904.77868423386
V = 904.8
I used my calculator's stored version of pi (instead of something like pi = 3.14)
The units "cubic meters" can be abbreviated to m^3 or \(m^3\)
The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.
The volume of a sphere can be calculated using the formula:
V = \(4/3 * \pi * r^3\),
Where V is the volume and r is the radius of the sphere.
\(\pi\) = 3.14
The radius of the sphere (r) = 6m
Plugging in the given radius of 6m into the formula, we get:
V = (4/3) * \(\pi\) * (6^3)
V = 1.333 * \(\pi\) * 216
V = 1.333 * 3.14 * 216
V = 4.1866 * 216
V = 904.8 cubic meters
Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8 cubic meters.
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......................
Answer:
A
Step-by-step explanation:
\(3^{5} = 243\\3^{2} = 9\\243/9 = 27\\27 = 3^{3}\)
Answer:
3⁵÷3²
Applying law of indices rule of division of power.
(If we have same term then we can make it one and then we can subtract the power)
3⁵ ‐ ²
3 ³
SO ANSWER IS (A)
|m + 3| = 12 – 2m (please show work)
Answer:
31-12=-2m -m
19=m
or
m=19
Step-by-step explanation:
What is the SLOPE of HI ? Justify your answer hurry PLEASE
Step-by-step explanation:
since it is in the same line as DE, both have the same slope.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and so by using the coordinates of D and E
x changes by +4 (from 8 to 12).
y changes by -8 (from 32 to 24).
the slope is therefore
-8/+4 = -2
A person invested $7,400 in an account growing at a rate allowing the money todouble every 6 years. How much money would be in the account after 4 years, to thenearest dollar?
The rate at which the money is growing is exponential. The formula for determining such exponential growth is expressed as
A(t) = Pe^rt
Where
A(t) represents the amount after t years
P represents the initial amount
t represents the number of years
r represents the growth rate
Given that the amount doubles after 6 years, it means that
when t = 6, A(t) = 7400 * 2 = 14800
Recall, P = 7400
Thus, the expression becomes
14800 = 7400e^6t
14800/7400 = e^6t
2 = e^6t
Taking natural logarithm of both sides of the equation, it becomes
ln 2 = ln e^6t = 6t lne
Recall, ln e = 1
Thus, we have
ln 2 = 6t
t = ln2/6 = 0.1155
The equation would be
A(t) = 7400e^0.1155t
When t = 4, it becomes
A(t) = 7400e^0.1155*4
A(t) = 11745.62
Rounding to the nearest dollar, the amount in the account after 4 years is
$11746
Evaluate \( \frac{\left(a \times 10^{3}\right)\left(b \times 10^{-2}\right)}{\left(c \times 10^{5}\right)\left(d \times 10^{-3}\right)}= \) Where \( a=6.01 \) \( b=5.07 \) \( c=7.51 \) \( d=5.64 \)
The expression (a×10^3)(b×10^−2) / (c×10^5)(d×10^−3) can be simplified to a numerical value using the given values for a, b, c, and d.
Substituting the given values a=6.01, b=5.07, c=7.51, and d=5.64 into the expression, we get:
(6.01×10^3)(5.07×10^−2) / (7.51×10^5)(5.64×10^−3)
To simplify this expression, we can combine the powers of 10 and perform the arithmetic operation:
(6.01×5.07)×(10^3×10^−2) / (7.51×5.64)×(10^5×10^−3)
=30.4707×(10^3−2)×(10^5−3)
=30.4707×10^0×10^2
=30.4707×10^2
So, the simplified value of the expression is 30.4707×10^2.
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What is the difference between a discrete
probability distribution and a continuous
probability distribution?
Give your own example of each. What is the
expected value, and what does it measure?
How is it computed for a discrete probability
distribution?
A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.
An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.
On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.
The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.
For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.
For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.
Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.
Marta makes 90\%90%90, percent of the free throws she attempts. She is going to shoot 333 free throws. Assume that the results of free throws are independent from each other. Let xxx represent the number of free throws she makes. Find the probability that marta makes at least 222 of the 333 free throws.
The probability that Marta makes at least 2 of the 3 free throws is 0.972
How to determine the probabilityFrom the question, we have the following parameters that can be used in our computation:
Proportion of throws = 90%
Number of throws = 3
The probability that Marta makes at least 2 of the 3 free throws is calculated as
Probability = P(2) + P(3)
Each individual probability can be calculated using
P(x) = nCx * p^x * (1 - p)^(n - x)
Substitute the known values in the above equation, so, we have the following representation
Probability = 3C2 * (0.9)^2 * (1 - 0.9)^1 + 3C3 * (0.9)^3 * (1 - 0.9)^0
Evaluate the expressions
Probability = 0.243 + 0.729
So, we have
Probability = 0.972
Hence, the probability is 0.972
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Solve these [7x+5](8x+3)
(3-8x)(4-5x)
2(4x+7)(6x-5)
Answer:
107520x6+89344x5−241808x4−55444x3+121478x2+6030x−12600
Step-by-step explanation:
brailiest
Answer:
nice
Step-by-step explanation:
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
Please help me!At the beginning of spring, Jin planted a small sunflower in his backyard. The sunflower's height in inches, hh, after ww weeks, is given by the equation h=18+2.5wh=18+2.5w. What could the number 18 represent in the equation?
Answer:
The equation of the sunflower's height is h = 18+2.5w
Since the number 18 remains constant regardless of the change in number of weeks, we know that at the start h (w=0) = 18 + 2.5 x 0.
This means that, when Jin planted the sunflower, the sunflower's height was already 18 inches.
For such a reason, we can conclude that the number 18 could represent the sunflower's height at the start (original height).
--
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