Answer:
C. x(x-7)(x+5)
Step-by-step explanation:
Please help fill out!!!
0, becous A (-1x2) can't be negative.
What is the quotient of 52 and 4?
Determine which numbers could not be used to represent the probability of an event. Select all that apply A. 0.0002, because probability values must be rounded to two decimal places. B. 33.3%, this is because probability values cannot be greater than 1 C. 0, because probability values must be greater than 0 D. 64/25, because probability values cannot be greater than 1 E. 320/1058, because probability values cannot be in fraction form. F. -1.5, because probability values cannot be less than 0.
The option D "64/25, because probability values cannot be greater than 1" and option F "-1.5, because probability values cannot be less than 0" could not be used to represent the probability of an event.
In the given question, we have to determine which numbers could not be used to represent the probability of an event.
Let P be the probability.
It can accept any value [0,1] (inclusive of 0, 1), as well as [0%, 100%] (inclusive of 0% and 100%).
It is unable to accept negative values.
Because probability values cannot be larger than one or less than one, 64/25 and -1.5, respectively, cannot be used to indicate the likelihood of an evens.
So, the option D "64/25, because probability values cannot be greater than 1" and option F "-1.5, because probability values cannot be less than 0" could not be used to represent the probability of an event.
To learn more about probability link is here
brainly.com/question/30034780
#SPJ4
x varies directly with y. If x=3 when y= -8, find y when x= 10
Since varies directly with y, the value of y when x= 10 is equal to -80/3.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = -8/3
When the value x = 10, the value of y can be calculated as follows;
y = kx
y = -8/3 × 10
y = -80/3
Read more on proportional relationship here: brainly.com/question/20167968
#SPJ1
math i need help with this question
(a) how many cards are in a complete deck of set? (b) how many unique sets are there? when three cards form a set, we can also count the number of attributes for which all three cards are the same. for example, in the set below, all three cards have the same color, and the same shape (but they have different numbers of shapes and different shading). (c) find the number of sets where all three cards are the same for exactly 0 attributes. (d) find the number of sets where all three cards are the same for exactly 1 attribute. (e) find the number of sets where all three cards are the same for exactly 2 attributes. (f) find the number of sets where all three cards are the same for exactly 3 attributes.
For A, I got 81 cards. I'm pretty sure that's correct.
For B , there can be 1 attribute that is different and the other 3 can be the same, there can be 2 that are different and 2 can be the same, there can be 3 that are different and 1 is the same, or all 4 attributes are different.
If 1 is different and the other 3 are the same, there are [tex]$\binom{4}{1}[/tex]= 4$ sets.
If there are 2 different and 2 are the same, there are[tex]$\binom{4}{2}[/tex]= 6$ sets.
If there are 3 different and 1 is the same, there are [tex]$\binom{4}{2}[/tex] = 4$ sets.
But I don't know how many sets there are if all 4 are different.
To get my final answer for b, I would add all the sets up.
(b) There are 108/3 = 36 unique sets.
(c) For the first card, there are 3 ways to choose the number. For the second, there 2 choices, and then there is only 1 choice. So there are 3*2*1 = 6 ways that the numbers can be chosen. Doing this for the other attributes, we get 6*6*24*6 ways. But the order of cards doesn't matter in a set, so we divide by 3!: 6*6*24*6/3! = 864. So there are 864 sets for part (c).
(d) The cards can have the same number, color, shape, or shading. If all the colors are the same, then there are 6*24*6/3! = 144 sets. If all the numbers are the same, then there are 144 sets. We get the same number for shape and shading, so there are 4*144 = 576 sets for part (d).
(e) We need to choose two of the attributes. There are C(4,2) = 6 ways of choosing two attributes. For each of these two attributes, there are 3 options. For the other two attributes, there are 3 ways of assigning the choices, so there are 6*3*3*3*3 = 486 sets for part (e)
(f) First we choose which attributes are the same. There are C(4,3) = 4 ways of choosing which attributes are the same. There are then 3*3*4 = 36 ways to assign which is which for each of these three attributes, and there are 4 ways to assign the choices for the fourth attribute, so there are 4*36*4 = 576 sets for part (f).
As for c, d, e, and f, I'm pretty sure I can just refer to b.
Learn more about to attribute
https://brainly.com/question/30169537
#SPJ4
NEED HELP FAST! Will mark brainliest
Part 3: Choose a proof method.
1. Use a paragraph, flow chart, or two-column proof to prove that is the perpendicular bisector of side .
The congruences given are the corresponding sides and angles of WZX and YZX. Segment ZX is congruent to itself, so SAS WZX YZX.
What is congruency?Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror image.Then, by CPCTC, WXZ YXZ and WX YX. This means that X is a midpoint and ZX is a bisector of WY. Because they are both congruent and supplementary, the angles of the linear pair WXZ and YXZ must be 90°.The corresponding sides and angles of WZX and YZX are given as congruences. SAS WZX YZX because segment ZX is congruent to itself.As a result, ZX is perpendicular to WY and its bisector.To learn more about congruency refer to :
https://brainly.com/question/2102943
#SPJ1
Sixty-four students are going on a field trip. There is 1 adult for every 8 students. How many adults are there?
There are 8 adults. This is because 1 adult is needed for every 8 students, so 8 multiplied by 8 is 64, which is the number of students. Therefore, 8 adults are needed.
How do you solve factored form?
To solve for the factored form of an equation, you can use a variety of methods, such as grouping, factoring by grouping, factoring by inspection, factoring by using the difference of squares, sum of cubes, or difference of cubes.
Grouping: This method involves grouping the like terms in the equation and factoring out the greatest common factor from each group.
Factoring by grouping: This method involves grouping the terms in the equation and factoring out the common factor that is shared by each group.
Factoring by inspection: This method involves looking at the equation and identifying any common factors that can be factored out of the equation.
Factoring by using the difference of squares, sum of cubes, or difference of cubes.
Factoring by using the quadratic formula.
Once you have factored the equation, you can set each factor equal to zero and solve for the variable.
For example, let's consider the equation x^2 + 5x + 6 = 0. Using the factoring by inspection method, we can see that (x + 2)(x + 3) = 0, so either x + 2 = 0 or x + 3 = 0. Solving for x, we find that x = -2 and x = -3 are the solutions to the equation.
To know more on factored form
https://brainly.com/question/29065045
#SPJ4
how to find how fast the unkown rate at which water is filling a spherical balloon given surface area
The balloon's radius is expanding at a rate of 0.035 cm/s.
Let R & V stand for the provided spherical balloon's radius (in cm) and volume (in cm3), respectively.
So, using the data above, we can derive the following relation:
V = (4/3)*π*(R^3) …… (1a)
When we differentiate (1a) with regard to time (t), we obtain either
dV/dt = (4*π*R^2)*(dR/dt)
or dR/dt = (dV/dt)/(4*π*R^2) … … (1b)
(1b) Using the information provided, we can deduce that
dR/dt = 100/[4*π*(30/2)^2] = 1/(9*π) = 0.035 (cm/s)
Thus, it is clear from above that the balloon's radius is expanding at a rate of 0.035 cm/s.
Know more about Rate:
https://brainly.com/question/19634225
#SPJ4
The question is incomplete, the full question
Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm^3/sec. How fast is the radius of the balloon increasing when the diameter is 50 cm?
I need help please!!!!
You must replace each variable with a number and carry out the arithmetic procedures to evaluate an algebraic expression. f(x) = -27.
What is meant by determine?research, analysis, or calculation to learn more about or reach a conclusion about. choose a solution to the issue. direct control over something, direct influence, or decision-making Depending on how much money we are permitted to spend, we will be able to hire a certain number of employees. What you consume affects your health in part. Genetics determines eye color. Determiners like decide, resolve, rule, and settle are frequently used interchangeably. In spite of the fact that all of these verbs indicate "to arrive to a conclusion or cause a conclusion to come to," the word "determine" refers to the process of determining the identity, character, scope, or direction of anything.f(x) = 3x - 9
determine f(x) = 9
f(9) = 3(9) - 9
f(9) = 27 - 9
f(9) = 22
Hence, the answer is 22.
To learn more about determine refer to:
https://brainly.com/question/25965491
#SPJ1
What do I put in the boxes?
The figures that will fill the boxes correctly to solve the above division question would be
box 1 = 238
box 1 = 238box 2= 800
box 1 = 238box 2= 800box 3 = 120
box 1 = 238box 2= 800box 3 = 120box 4 = 32
What is division?Division is defined as the one of the major arithmetic operation used in the field of mathematics that helps to share a data set amount other values.
The type of division method that is being represented above is the long division method which has its divisor written outside the right parenthesis or the left sidebar, while the dividend is placed within, and the quotient is written above the overbar on top of the dividend.
Thus, when 952 is divided by four using the long division method, the resulting value would be = 238.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
multiplying polynomials is done by applying the ___ property when necessary.
Answer: Distributive property
Step-by-step explanation:
a. the columns of a matrix a are linearly independent if the equation ax d 0 has the trivial solution. b. if s is a linearly dependent set, then each vector is a linear combination of the other vectors in s. c. the columns of any 4 5 matrix are linearly dependent. d. if x and y are linearly independent, and if
a. Yes, the columns of matrix a are linearly independent if the equation ax = 0 has the trivial solution.
This means that the only solution to the equation is x = 0, which implies that the vectors in the matrix are not linear combinations of each other.
b. No, if s is a linearly dependent set, then each vector is not necessarily a linear combination of the other vectors in s. A linear combination is a combination of two or more vectors where each vector is multiplied by a scalar and then added together.
A linearly dependent set means that one of the vectors can be expressed as a linear combination of the other vectors, but not necessarily all of them.c. No, the columns of any 4 5 matrix are not necessarily linearly dependent.
Linear dependence is determined by the rank of the matrix. If the rank of the matrix is equal to the number of columns, then the columns of the matrix are linearly independent.
However, if the rank of the matrix is less than the number of columns, then the columns of the matrix are linearly dependent.
d. Yes, if x and y are linearly independent, then any linear combination of x and y must equal to zero. This means that the coefficients of x and y must be equal to zero in order for the linear combination to equal zero.
For more questions like Linear click the link below:
https://brainly.com/question/23878734
#SPJ4
Complete question:
Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. B. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. D. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set.
11. The graph shows Peg's progress on a walking trail, showing the distance
from the start of the trail she has walked over time. Her friend Raj travels
along the same walking trail.
Pleaseee help meeeee!!!!
A. Peg is walking with a speed of 3 miles per hour.
B. The completed table is given below.
C. If Peg and Raj started at the same time from the same place on the
trail, they are 1.5 miles apart after 3 hours.
D. After 4 hours Peg and Raj will be 2 miles apart.
What is speed?
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
From the graph it can be seen that -
In 1 hour Peg walks 3 miles.
In 2 hours Peg walks 6 miles.
In 3 hours Peg walks 9 miles.
In 4 hours Peg walks 12 miles.
Therefore, the speed of Peg is 3 miles/hour.
It is given that Raj walks 2.5 miles/hour.
So, to complete the table use the formula speed = distance/time.
distance = speed × time
When time = 0 hours
Raj (0) = 2.5 × 0
Raj (0) = 0 miles
When time = 1 hours
Raj (1) = 2.5 × 1
Raj (1) = 2.5 miles
When time = 2 hours
Raj (2) = 2.5 × 2
Raj (2) = 5 miles
When time = 3 hours
Raj (3) = 2.5 × 3
Raj (3) = 7.5 miles
Now, Raj and Peg started at the same time.
After 3 hours Peg reaches 9 miles and Raj reaches 7.5 miles.
The difference between their distance is -
9 - 7.5
1.5 miles
Now, when time = 4 hours
Raj (4) = 2.5 × 4
Raj (4) = 10 miles
After 4 hours Peg reaches 12 miles and Raj reaches 10 miles.
The difference between their distance is -
12 - 10
2 miles
Therefore, after 3 hours and 4 hours the difference between Pe and Raj is 1.5 miles and 2 miles respectively.
To learn more about speed from the given link
https://brainly.com/question/27888149
#SPJ1
How do you know how many solutions a system of linear equations has?
Answer: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
A 10 pound bag of potatoes cost 4.00. What is the price per pound
Answer:
$0.40
Step-by-step explanation:
10 lbs ÷ 10 = 1 lb
--------- = ---------
$4.00 ÷ 10 = $0.40
A picture of a school's mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?
The length of the banner is, 84 inch when the width is enlarged to 63 in.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A picture of a school's mascot is 18 in. wide and 24 in. long.
And, It is enlarged proportionally to banner size.
Now, Let the length of the banner when the width is enlarged to 63 in.
Hence, By definition of proportionality, we get;
⇒ Length / Width
⇒ 24 / 18 = x / 63
Solve for x as;
⇒ 24 × 63 / 18 = x
⇒ x = 84 inch
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
In the diagram below, the horizontal lines are parallel. Find the value of x.
Answer: 53
Step-by-step explanation:
x = 180 - 90 - 37
= 180 - 127
= 53
-43 = x/5 - 47
solve for x:
Hey there!
Answer:
After solving for x, our final answer is x = 20.
Further Explanation1. Switch sides.
[tex]\frac{x}{5}-47=-43[/tex]
2. Move 47 to the right side.
[tex]\frac{x}{5}=4[/tex]
3. Multiply both sides by 5.
[tex]\frac{5x}{5}=4*5[/tex]
4. Simplify.
[tex]x=20[/tex]
___________________________
Hope this helps! If you mark Brainliest, tysm!
please hurry the following below
Answer:
5⁻³
Step-by-step explanation:
People/ 7. The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to find the cost of 4, lessons.
The cost of 4 dance lessons will be $52.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the cost for 7 dance lessons is $82 and the cost for 11 lessons is $122.
The given coordinate points are -
(7, 82) and (11, 122)
We can write the equation as -
y = mx + c
Now -
m = (122 - 82)/(11 - 7)
m = 40/4
m = 10
The equation will now become -
y = 10x + c
For the point (7, 82), we can write -
82 = 10 x 7 + c
c = 82 - 70
c = 12
So, the equation representing the cost to the total number of dance lessons is -
y = 10x + 12
For {x} = 4, we can write -
y = 40 + 12
y = 52
Therefore, the cost of 4 dance lessons will be $52.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
Paula bought a ski jacket on sale for $8 less than half its original price. She paid $84 for the jacket. What was the original price?
The original price of the ski jacket is $184.
What is price?
The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".
Given:
Paula bought a ski jacket on sale for $8 less than half its original price.
She paid $84 for the jacket.
We have to find the original price of the ski jacket.
Let
The original price = x
The amount she bought it = x/2 - 8
She paid $84 for the jacket
Therefore,
84 = x/2 - 8
Add 8 on both sides,
84 + 8 = x/2 - 8 + 8
92 = x/2
x = 184
Hence, the original price of the ski jacket is $184.
To know more about price, click on the link
https://brainly.com/question/11938988
#SPJ1
How do you know if a quadratic equation is factored?
If the quadratic expression with integer coefficients is factorable over the integers then its discriminant is a perfect square.
The term quadratic expression is defined as an expression with the variable with the highest power of 2.
Here we have to identify the way to know that if a quadratic equation is factored.
As per the definition here we know that if it is a positive perfect square the equation can be factored fairly easily.
Where as here we have also know that not every quadratic equation can be solved by factoring or by extraction of roots.
And if the quadratic expression that is written as the product of a constant times two linear factors then it is said to be in factored form.
To know more about expression here.
https://brainly.com/question/14083225
#SPJ4
Help with this pls!!!
Use variables to write an equation that represents the relationships between the time and the distance.
An eagle flies 40 miles per hour.
The relation for time and distance will be written as D = 40t miles.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that the speed of the eagel is 40 miles per hour. The relationship between the distance and the time will be calculated as,
Distance = Speed x Time
Distance = 40 x Time
D = 40t miles
Here t, is in hours.
To know more about Speed follow
brainly.com/question/6504879
#SPJ1
How many distinct solutions does the following equation have x1 x2 x3 x4 100?
The given equation has 161700 distinct solution.
If a sum of non-negative integers whose values is pre-defined say m is equal to a fixed value say n such that:x1+x2+x3+...+xm=n then the total combination of m non negative integers x1,x2,...xm in mathematical form can be written as: n+m−1Cm−1.
The above problem can also be written as:
x1+x2+x3+x4=100x1≥1x2≥2x3≥0x4≥0
Here x3 and x4 are non-negative integers and there is a restriction on x1 and x2.
Removing the restriction on x1 and x2 as:100 - 1 - 2 = 97
The number of distinct solution that the equation x1+x2+x3+x4=100 has is equivalent to the non-negative solution. of x1+x2+x3+x4=97 and is given by:
97+4−1C4−1=100C3=161700
Hence, the number of distinct solution that the equation x1+x2+x3+x4=100 has is 161700.
To find solution of equationThe solutions of equations basically depends on the power of variables present on it .
The solutions of equations also show that the how much the power of variables Is present that times it cuts the axis .
For example
1.if x+2=0 then x=—2 that means it has one solution and it also means it cut the x -axis one time .
2.if x^2–4=0 then x have two values that is x=+2,x=—2 it also means it cut the x-axis two times
Similar for power is 3 then it have three solution.
And so on for if power is n then it have solutions .
Learn more about combinatoric at https://brainly.com/question/13261685.
#SPJ4
A trapezoid has bases of lengths 12 and 27. Find the trapezoid's area
if its height is 8.
The trapezoid's area if its height is 8 is 156.
What is trapezoid area?Trapezoid area is the area of a four-sided flat shape with two sides that are parallel. It is a type of quadrilateral with two non-parallel sides. To calculate the area of a trapezoid, you need to multiply the sum of the lengths of the two parallel sides by the height of the trapezoid and then divide by two. The formula for trapezoid area is A = (a + b) * h / 2, where a and b are the lengths of the two parallel sides and h is the height of the trapezoid.
The area of a trapezoid is calculated by multiplying the height by the average of the two bases. Therefore, the area of the trapezoid in question is 8 multiplied by the average of 12 and 27, which is 19.5. The final answer is then 156.
To know more about area click-
https://brainly.com/question/25292087
#SPJ1
What is quotient rule in math?
Dividend ÷ Divisor = Quotient and Remainder
When a dividend is divided by a divisor, we get the value of the quotient in the result.
The quotient is the result of dividing one integer by another. For example, in 8÷ 4 = 2, the result of the division is 2, hence the quotient is 2. The dividend is 8 and the divisor is 4.
According to the Quotient Rule, the derivative of a quotient equals the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square.
This is the rule we employ when dividing one exponential equation by another. According to the quotient rule, we must subtract the exponent in the denominator from the exponent in the numerator, but the bases must be the same.
For more questions on Quotient rule
https://brainly.com/question/29232553
#SPJ4
Complete the work to find the length of HD.
Answer:
[tex]HD=5.5[/tex]
Step-by-step explanation:
[tex]4(HD)=22 \implies HD=5.5[/tex]
An image of a parallelogram is shown.
A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
What is the area of the parallelogram?
four hundred twenty-three and one-half ft2
four hundred twenty-seven and one-half ft2
four hundred thirty-three and one-eighth ft2
four hundred fifty-five and one-eighth ft2
The area of the parallelogram would be 216.6 ft².
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
The area of the || gm is -
A = 1/2 x b x h
A = 1/2 x 22.5 x 19.25
A = 216.6 ft²
Therefore, the area of the parallelogram would be 216.6 ft².
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1