As per the given domain and the range, the relation {(-2, 9), (4, 10), (8, 10), (27, 11)} is a function.
Domain and range:
Basically, domain of a function is the set of values that we are allowed to plug into our function where as the range of a function is the set of values that the function assumes.
Given,
function g has a domain of {-2, 4, 8, 27} and the range of {9, 10, 11).
Here we need to find that could g be represented by {(-2, 9), (4, 10), (8, 10), (27, 11)}.
We know that the function means the relation that has two sets and from a set X to a set Y assigns to each element of X exactly one element of Y.
Based on this fact we have to verify that the given relation,
Here in the given relation,
=> {(-2, 9), (4, 10), (8, 10), (27, 11)}.
Each domain value has only one range value.
So, this relation is a function.
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Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
3(-2x+5) +5 = 20
-6x+15+5=20
What is the next step in solving this equation?
A. Distribute
B. Eliminate the coefficient
C. Combine like terms
D. Eliminate the variable
Answer:
A
Step-by-step explanation:
What is the value of a?
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The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.
Write your answers on one line.
Answer: 3 & 18
Step-by-step explanation:
x+6x = 21
7x=21
x=21/7
x= 3
21-3 = 18
so 3 and 18
solve the inequality T> L+D
Answer:
solving for t= t>d+l
For l= l<t-d
Then for d=d<t-l
If you cant read it then hears what it says. Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z. I think u can read thw next BUT ITS DUE AS A TEST GRADE SO PLS HELP ME
Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z.
Let us consider two identical quadrilaterals, ABCD and A' B' C' D', where each vertex of the first quadrilateral is mapped to a corresponding vertex of the second quadrilateral by a certain transformation. Specifically, vertex A is mapped to vertex W, vertex B is mapped to vertex X, vertex C is mapped to vertex Y, and vertex D is mapped to vertex Z.
Without more information about the nature of the transformation, it is difficult to say much about the quadrilaterals or their properties. However, some general observations can be made
Since the quadrilaterals are identical, their corresponding sides and angles are congruent.If the transformation preserves the orientation of the quadrilateral (i.e., it does not flip or reflect the shape), then the corresponding vertices will appear in the same order around the quadrilateral. For example, if ABCD is a clockwise-oriented quadrilateral, then A' B' C' D' will also be clockwise-oriented.If the transformation is a rigid motion (i.e., it preserves distances and angles), then the corresponding sides and angles of the two quadrilaterals will be congruent. In this case, the quadrilaterals will be congruent (i.e., they will have the same shape and size).If the transformation is not a rigid motion, then the corresponding sides and angles of the two quadrilaterals may not be congruent. In this case, the quadrilaterals will have different shapes and sizes.Hence, we can also add information about the transformation or the quadrilaterals in this type of problem.
The given question is incomplete.
The complete question is "How can we say that the quadrilateral ABCD and quadrilateral WXYZ is identical"
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in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
What are the 4 inverse operations in math?.
The four main inverse operations in math are addition, subtraction, multiplication, and division. These are the operations that reverse the effects of the operation.
When you use the word "inverse," you want to move backward in time or space. The Latin term "inversus," which means to turn inside out or upside down, is where the word's name originates. An inverse operation in mathematics is a procedure that reverses the effects of a preceding one.
Multiplication, division, subtraction, and addition are the four fundamental mathematical operations. Subtraction, and vice versa, are the opposites of addition. Division and vice versa are the opposites of multiplication.
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which choice does not determine the sampling distribution? the population size the population variance the population mean the sample size
The population size does not determine the sampling distribution.
In the give question we have to find which choice does not determine the sampling distribution.
We firstly learn more about sampling distribution
A sampling distribution is a probability distribution of a statistic that is derived from a bigger sample size of individuals chosen at random from a given population. The sampling distribution of a particular population is the distribution of frequencies of a variety of potential outcomes for a population statistic.
So, the population size does not determine the sampling distribution.
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Please give me the correct answer
Answer: Choice D) 7.5 inches, 18 inches, 19.5 inches
====================================================
Explanation:
The Pythagorean theorem converse can be used to determine if we have a right triangle or not.
The converse says that if a^2 + b^2 = c^2 is a true equation, then we have a right triangle.
The value of c is always the longest side. The order of 'a' and b doesn't matter (usually b is larger than or equal to 'a'). So we could have \(a \le b < c\) or \(b \le a < c\), but convention usually leans toward the first inequality mentioned.
----------------------------------
In choice A, we have the following steps
a^2 + b^2 = c^2
(7.5)^2 + (18)^2 = (21.5)^2
380.25 = 462.25
Since the third equation is false, this means the first equation is false for those a,b,c values. Choice A is not a right triangle. We can cross it off the list.
----------------------------------
In choice B, we have a = 7.5, b = 19.5 and c = 21.5
So,
a^2 + b^2 = c^2
(7.5)^2 + (19.5)^2 = (21.5)^2
436.5 = 462.25
which is also false. Cross choice B off the list.
-----------------------------------
With choice C we have: a = 18, b = 19.5, c = 21.5
a^2 + b^2 = c^2
(18)^2 + (19.5)^2 = (21.5)^2
704.25 = 462.25
Cross choice C off the list since the third equation is false.
-------------------------------------
In choice D, we have the sides a = 7.5, b = 18, c = 19.5
a^2 + b^2 = c^2
(7.5)^2 + (18)^2 = (19.5)^2
380.25 = 380.25
We get the same number on both sides, so the third equation is true. Consequently, this leads to the first equation being true for those a,b,c values. Choice D is a right triangle, and it's the final answer.
A retailer sells volleyball nets for $36 that were acquired at a cost of $16. What percentage is the mark-up?
Write your answer using a percent sign (%).
Answer:
5.76
Step-by-step explanation:
En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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HELP PLEASEE IM FAILING
Answer:
failure is a step towards success!!
don't get urself drowned,,,,just get over it❤️
Answer:
C
Step-by-step explanation:
∠ SVW = ∠ TWX = 84° ( corresponding angles are congruent )
∠ UVY = ∠ SVW = 84° ( vertical angles are congruent )
Caroline wants to buy 100 g of spice mix from a British or French website.
The conversion rate is €1 = £0.85
What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).
British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.
The website which is cheaper for Caroline to buy the spice mix is French website.
Given data ,
Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.
British website:
Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60
Since the British website offers free delivery, the total cost remains £3.60.
French website:
Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40
Delivery cost = €0.80
On simplifying the equation , we get
To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.
Price in pounds = €2.40 * £0.85 = £2.04
Delivery cost in pounds = €0.80 * £0.85 = £0.68
Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72
Comparing the total costs:
British website: £3.60
French website: £2.72
Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.
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Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.
Write an equation to find the number of overtime hours she worked on the second day.
Answer:
4 1/2 hours
Step-by-step explanation:
Equation(s):
--
(146.25 - (19.50 x 3)) ÷ 19.50 =
4.5 or 4 1/2 hours
--
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Which of the following shows the correct first step for finding the midpoint between the points (2,2) and (-1, 5)
Answer:
A
Step-by-step explanation:
By adding both the x and y coordinates individually and dividing them by two u get the mid point
If the
temperature is -4 °C and rises by 12 °C, what is
the new temperature?
a little bit of help on my hw haha, will mark brainiest
let , be vectors in given by a) find a vector with the following properties: for any linear transformation which satisfies we must have . enter the vector in the form
If the result is zero, then we need to choose another vector and repeat the process. Therefore, we choose any non-zero vector and apply T to it.
Given, vectors , are given as:
We need to find a vector such that for any linear transformation T satisfying we must have , i.e.,
Here, is the null space of the linear transformation T.
Let us first find the basis for the null space of T.
Let be the matrix representing the linear transformation T with respect to the standard basis.
Since the columns of A represent the images of the standard basis vectors under T, the null space of A is precisely the space of all linear combinations of the vectors that map to zero.
Therefore, we can find a basis for the null space of A by computing the reduced row echelon form of A and looking for the special solutions of the corresponding homogeneous system.
Now, we need to find a vector which is not in the null space of T.
This can be done by taking any non-zero vector and applying T to it. If the result is non-zero, then we have found our vector.
If the result is zero, then we need to choose another vector and repeat the process.
Therefore, we choose any non-zero vector and apply T to it.
Let . Then,
Since this is non-zero, we have found our vector. Therefore, we can take as our vector.
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For a fully discrete whole life insurance of 1000 issued to (x), you are given:
2Ax = 0.08
Ax = 0.2
The annual premium is determined using the equivalence principle.
S is the sum of the loss-at-issue random variables for 100 such independent policies. Calculate the standard deviation of S. (Ans 2500)
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
Given that:
2Ax = 0.08
Ax = 0.2
A fully discrete whole life insurance issued to (x) is 1000.
Firstly we have to find out the value of variance S.
Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2
Variance S = (1000)^2 * [0.08 - 0.2^2]/(1- 0.2)^2
Variance S = (1000)^2 * [0.04]/.64
Variance S = (1000)^2 * .0625
Variance S = 62500
Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)
Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)
Standard deviation = 1000 * 0.2/0.8
Standard deviation = 1000 * 1/4 = 250
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
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please help me out:) Thank you:)
Answer:
its D.)6^3
Step-by-step explanation:
because your literally just subtracting the 7 and the 4 which then you get 3.
Answer:
D. 6^3
Step-by-step explanation:
Let's expand the fraction so u get a better idea:
\(\frac{6^7}{6^4} = \frac{(6)(6)(6)(6)(6)(6)(6)}{(6)(6)(6)(6)}\)
There's 7 six's being divided by 4 six's, just like if u had 100/10, u simply just cross out the zeros n which 100/10 = 10. Same case here, cross out all the 6's u can so there's no more in the denominator.
\(\frac{(6)(6)(6)(6)(6)(6)(6)}{(6)(6)(6)(6)} =\) 6^3
or a more simple way is to remember is if it has the same base number, then u can simply have the exponents subtract, in this case 6^7/6^4 = 6^7-4 = 6^3
However if it was something like this 6^4/6^7 = 6^-3 remember to make it a fraction because an exponent can't be a negative number so 6^-3 = 1/6^3. Bascally is u ever have a negative exponent, flip it. Ex: \(6^{-3} = \frac{1}{6^3}\) and the other way too, \(\frac{1}{6^{-2} } = 6^{2}\)
Find the perimeter of the figure to the nearest hundredth.
Answer:
61.68cm
Step-by-step explanation:
Perimeter of the semicircle = 2πr
r is the radius = 12/2 = 6cm
Perimeter of the semi circle = 2(3.14)(6)
Perimeter of the semi circle = 37.68cm
Adding the remaining sides of the polygon
Perimeter of the figure = 37.68+ 10 + 6 + 8
Perimeter of the figure = 61.68cm
Hence the perimeter of the figure is 61.68cm
what is the probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele?
The probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.
To determine the probability that two grandchildren of a woman who are first cousins to one another will each inherit the dominant allele, we first need to understand the pattern of inheritance for dominant and recessive alleles.
Assuming the woman has two dominant alleles (D) and two recessive alleles (d), the probability of passing on a dominant allele to each grandchild is 1/2. For two first cousins to each inherit a dominant allele, we need both of their parents to pass on a dominant allele to them. The probability of both parents passing on a dominant allele is (1/2) * (1/2) = 1/4.
So, the probability of two first cousins each inheriting a dominant allele is 1/4 * 1/4 = 1/16. This means that there is a 1 in 16 chance that both first cousins will each inherit the dominant allele.
To summarize:
P(inheriting dominant allele) = 1/2
P(both parents passing on dominant allele) = 1/2 * 1/2 = 1/4
P(two first cousins each inheriting dominant allele) = 1/4 * 1/4 = 1/16
Therefore, the probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.
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The probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.
To determine the probability that two grandchildren of a woman who are first cousins to one another will each inherit the dominant allele, we first need to understand the pattern of inheritance for dominant and recessive alleles.
Assuming the woman has two dominant alleles (D) and two recessive alleles (d), the probability of passing on a dominant allele to each grandchild is 1/2. For two first cousins to each inherit a dominant allele, we need both of their parents to pass on a dominant allele to them. The probability of both parents passing on a dominant allele is (1/2) * (1/2) = 1/4.
So, the probability of two first cousins each inheriting a dominant allele is 1/4 * 1/4 = 1/16. This means that there is a 1 in 16 chance that both first cousins will each inherit the dominant allele.
To summarize:
P(inheriting dominant allele) = 1/2
P(both parents passing on dominant allele) = 1/2 * 1/2 = 1/4
P(two first cousins each inheriting dominant allele) = 1/4 * 1/4 = 1/16
Therefore, the probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.
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What is the slope and y-intercept of 3x 2y 5?
The slope and y-intercept of 3x - 2y = 5 is 3/2 and -5/2 respectively.
In the given question, we have to find the slope and y-intercept of 3x-2y=5.
The general equation of line is y = mx + c, where m is the slope of line and c is the y-intercept of line.
The given equation of line is 3x - 2y = 5.
To find the slope and y-intercept we first isolate the y.
Subtract 5 on both side, we get
3x - 2y - 5 = 0
Add 2y on both side, we get
2y = 3x - 5
Divide by 2 on both side, we get
y = \(\frac{3}{2}x-\frac{5}{2}\)
On comparing the equation by y = mx + c, we get
m = 3/2 and c = -5/2
Hence, the slope and y-intercept of 3x - 2y = 5 is 3/2 and -5/2 respectively.
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The complete question is:
What is the slope and y-intercept of 3x - 2y = 5?
URGENT PLEASE EXPLAIN WHY ITS CORRECT ASWELL
Answer: 20.1
Step-by-step explanation: Based on triangle sum theorem all angles add up to 180. 3x-11+6x-10+x=180
Combine like terms. 10x-21=180
Add 21 to both sides. 10x=201
Divide by 10 on both sides. X=20.1
according to the manufacturer, about 26% of sour candy in a package of sandy's sours are grape. what is the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall? 0.4524 0.5476 0.1424 0.8576 0.4052
The probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.
To solve this problem, we need to use the probability formula:
P(at least third grape candy) = P(first candy is not grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is not grape) x P(second candy is grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is grape) x P(third candy is grape)
From the given information, we know that the probability of choosing a grape candy from the bag is 26%. Therefore, the probability of choosing a non-grape candy is 74%.
Using this information, we can substitute the values into the formula:
P(at least third grape candy) = 0.74 x 0.74 x 0.26 + 0.74 x 0.26 x 0.26 + 0.26 x 0.74 x 0.26 + 0.26 x 0.26 x 0.26
Simplifying this expression, we get:
P(at least third grape candy) = 0.4524 + 0.0508 + 0.0508 + 0.0068
P(at least third grape candy) = 0.5608
Therefore, the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.
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What’s an algaberic expression for 7 more than a number p
Answer:
Step-by-step explanation:
Writing Algebraic Expressions
Writing Algebraic Expressions
Group workProblem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.
Solution: Let g represent the number of groups in Ms. Jensen's class.
Then 2 · g, or 2g can represent "g groups of 2 students".
In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.
Example 1: Write each phrase as a mathematical expression.
Phrase Expression
the sum of nine and eight 9 + 8
the sum of nine and a number x 9 + x
The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
Phrase Expression
nine increased by a number x 9 + x
fourteen decreased by a number p 14 - p
seven less than a number t t - 7
the product of 9 and a number n 9 · n or 9n
thirty-two divided by a number y 32 ÷ y or
In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression using the variable n.
Phrase Expression
five more than twice a number 2n + 5
the product of a number and 6 6n
seven divided by twice a number 7 ÷ 2n or
three times a number decreased by 11 3n - 11
bonusExample 4: A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get?
Solution: Let e represent the number of employees in the company. The amount of money each employee will get is represented by the following algebraic expression:
electricianExample 5: An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.
Solution: Let x represent the number of hours the electrician works in one day. The electrician's earnings can be represented by the following algebraic expression:
Solution: 45x - 20
It takes 19.8 hours of work to plant a field of vegetables. Each person in the Fram family worked for 3.3 hours to help plant the field. How many people are in the Fram family?
Answer:
There are 6 people in the Fram family
Step-by-step explanation:
19.8 ÷ 3.3 = 6
Hope this helped!!
Answer:
19.8
3.3
19.8/3.3
6
Step-by-step explanation:
got it right
Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.
Answer:
sin θ = (√119)/12
tan θ = (√119)/5
csc θ = 12/(√119)
cot θ = 5/(√119)
Five trigonometric functions of θ are
sinθ = \(\frac{\sqrt{119} }{12}\)cosθ = \(\frac{5}{12}\)tanθ = \(\frac{\sqrt{119} }{5}\)cosecθ = \(\frac{12}{\sqrt{119} }\)secθ = \(\frac{12}{5}\)cotθ = \(\frac{5}{\sqrt{119} }\)
What is trigonometric functions?"The trigonometric functions of θ are functions of an angle. sine, cosine, and tangent are familiar trigonometric functions. The trigonometric functions relates the angles of a triangle to the length of its side."
Let θ be an acute angle of a right angle triangle
What is acute angle?"An acute angle ("acute" meaning "small") is an angle smaller than a right angle. The range of an acute angle is between 0 and 90 degrees."
What is right angled triangle?"A right angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle).
What is hypotenuse?"The side opposite the right angle is called the 'hypotenuse'. The hypotenuse is always the longest side. The sum of the other two interior angles is equal to 90°."
What is opposite side?"An 'opposite' side is the one across from a given angle."
What is adjacent side?"An 'adjacent' side is next to a given angle. We use special words to describe the sides of right triangles."
we have,
cosθ = \(\frac{5}{12}\)
secθ = \(\frac{12}{5}\)
Hypotenuse side = 12
Adjacent side = 5
∴ Opposite side = \(\sqrt{hyp^{2}-adj^{2} }\)= \(\sqrt{12^{2}-5^{2} }\) = \(\sqrt{119}\)
sinθ = \(\frac{opp}{hyp}\) = \(\frac{\sqrt{119} }{12}\)
tanθ = \(\frac{opp}{adj}\) = \(\frac{\sqrt{119} }{5}\)
cosecθ = \(\frac{hyp}{opp}\) = \(\frac{12}{\sqrt{119} }\)
cotθ = \(\frac{adj}{opp}\) = \(\frac{5}{\sqrt{119} }\)
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f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app