Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
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The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
Point (w, z) is transformed by the rule (w 5, z) . what type of transformation occurred?
Scaling transformation onto the x co ordinate by a factor of 5.
What is a co-ordinate system ?A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)
According the given question Point (w, z) is transformed by the rule (w5, z).
Here w represents x co-ordinate points and z represents y co-ordinate points.
We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.
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put r^(2 )-15 = t+19 into a sentance
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.
The mathematical equation is given below.
r² - 15 = t + 19
In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
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The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
What is a word sentence?
A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.
Given:
The given equation is
[tex]r^{2}[/tex]-15 = t+19
According to given question we have
The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
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Pls help me solve this question, also include step by step calculation ya. Thks
Giving brainliest to the best answer
[tex]\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}[/tex]
Step-by-step explanation:
[tex]5x^2-x^2e^{2x}+2e^{2x}=10[/tex]
[tex]Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}[/tex]
Prologarithmize both parts of the equation:
[tex]ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\x=\frac{ln5}{2}[/tex]
[tex]t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}[/tex]
What will these look like?
Answer:
Step-by-step explanation:
A line passes through the point(9,-8)
and has a slope of-2/3. Write an equation in slope-intercept form for this line.
.
KJSAnflkadfalkdmnfaldskjfnasd...
Simplfyy -3x plus7y plus21y -21
Answer:
-3x + 28y - 21
Step-by-step explanation:
[tex]7y+21y=28y\\=-3x+28y-21[/tex]
• Add the similar factors and carry over the uncommon factor, -3x.
Given the inequality −6
The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
How to complete the inequality?The inequality expression is given as
-6 < x < 18
The distance is calculated as:
Distance = |18 -(-6)|/2
Evaluate the difference
Distance = 12
The midpoint is calculated as:
Midpoint = 0.5 * (18 - 6)
Evaluate
Midpoint = 6
The absolute value inequality is represented as
|x - Midpoint| < Distance
So, we have
|x - 6| < 12
Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
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Select the set of ordered pairs that does not satisfy the requirements of a function.
O {(1, 1), (2, 2), (3, 3), (4,4)}
O {(1,4), (2,4), (3, 4), (4,4)}
O {(1, 1), (1, 2), (1, 3), (1,4)}
O {(1, 2), (2, 3), (3, 4), (4,1)}
A relation will be only a function if and if only for every single value of x there must be only one output thus {(1,1),(1,2), (1,3), (1,4)} will not be a function, therefore, option (C) will be correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the coordinates,
In option (B) {(1,4),(2,4),(3,4),(4,4)} in this for y = 4 → x = 1,2,3,4 so it will be a function becuase for every single x value there is a single y value but for a single y value, there could be two x.
In option (D) {(1,1),(1,2), (1,3), (1,4)} for x = 1 → y = 1,2,3,4 so it will not a function.
Hence "{(1,1),(1,2), (1,3), (1,4)} will not be a function".
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Use additive inverses and their properties to find the equivalent expressions
Answer:
1. 6+(-3)
2. 6+3
3. -6+(-3)
4. -6+3
pa brainliest thankk youu!!
Answer:
1 .6 - (-3) : 6 + 3
2.6 - 3 : 6 + (-3)
3.-6 - (-3): -6 + 3
4.-6 - 3: -6 + (-3)
Step-by-step explanation: right on edge , hope this helps you :)
a sequence of natural numbers is constructed by listing the first 4, then skipping the next 5, skipping 2 listing 6, skipping 3, and, on the nth iteration, listing n 3 and skipping n. the sequence begins 1,2,3,4,6,7,8,9,10,13. what is the 500,00th number in the sequence?
The 500,00th number in the sequence = 98828
What is sequence?A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.
According to the given data:here n^th iteration n+3 element are listed and n element are skipped.
now before nth iteration total skipped natural number : 1+2+3+.........n-1
= n(n-1)/2
now after completion of nth iteration total listed natural number = 4+5+6+.....n+3
= ((n+3)(n+4)/2)-6
to find 50000th number total listed element must be greater than or equal to 50000.
((n+3)(n+4)/2)-6 ≥ 50000
(n+3)(n+4) ≥ 100012
n = 313
total skipped before 313th iteration
=( 313 * 312)/2
= 48828
total listed before 313th is 48828.
listed after 312th iteration
= ((315)(316))/2)-6
= 49764
total number remaining for 50000
= 50000 - 49764
= 236
total number passed.
skipped+ listed
= 48828 + 49764
= 98592
50000th element = 98592 + 236
= 98828
The 500,00th number in the sequence = 98828
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Paul started work at company B ten years ago at the salary shown in the table. At the same time Sharla started at company C at the salary shown in the table. Who earned more during the last year? How much more? *picture included*
go ask God bro ain't nobody know that
Find the volume of the solid. PLEASE HELPPPPPPPP
Answer:
V≈743.25
Step-by-step explanation:
V=5
12tan(54°)ha2=5
12·tan(54°)·4·182≈743.24624
The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.
The population parameter being estimated is the confidence coefficient.
What is a confidence coefficient?The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.
probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.
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Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
Solve the following equation for a. a - 32 = 47
Answer:
a=79
Step-by-step explanation:
you just have to make "a" the subject of the formula so as to solve for "a"
a=47+32=79
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
The mode is the most common value in a set of data values then the mode of the given set of data is 56.
What is a mode?The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.
The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."
Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61
The mode is the most common value in a set of data values.
Then the mode of the given set of data is 56.
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which set of points are collinear? d, s, y startfragment, d, s, y, p, t, y startfragment, p, t, y, y, d, h startfragment, y, d, h, h, t, s
The set of points (A) P, T, and Y are collinear.
What are collinear points?Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that is close to or far from each other are said to be collinear.In general, three points A, B, and C are collinear if the sum of the lengths of any two line segments between AB, BC, and CA equals the length of the remaining line segment, that is, AB + BC = AC, AC +CB = AB, or BA + AC = BC.In response to the question -
Only one set of points - (P, T, Y) - can be seen to be on the same straight line. One of the options mentioned is - (P, T, Y).Therefore, the set of points (A) P, T, and Y are collinear.
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The correct question is given below:
Which set of points is collinear?
(A) P, T, Y
(B) D, S, Y
(C) H, T, S
(D) Y, D, H
Find the value of x and YZ if Y is between X and Z.
XY = 12, YZ = 2x, and XZ = 28
Answer:
x = 8 and YZ = 16
Step-by-step explanation:
since Y is between X and Z , then
XY + YZ = XZ , that is
12 + 2x = 28 ( subtract 12 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
and YZ = 2x = 2 × 8 = 16
Solve the proportion.
4/5= y/7 what is y
Answer: Exact Form: 28/5
Step-by-step explanation:
Answer:
y = 28/5
Step-by-step explanation:
Let's solve the problem,
→ 4/5 = y/7
→ y = 7 × (4/5)
→ [ y = 28/5 ]
Hence, the value is 28/5.
What is an equation of the line that passes through the points (-6, 6) and (-3, 1)?
Answer:
5x + 3y = 18
Step-by-step explanation:
First find slope. m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3) = 5/-3
then. use. y - y1 =. m (x - x1). which gives. y - 1 = -5/3(x - 3)
then. y - 1 = -5/3x + 5
then y = -5/3 x + 6. or. 5x + 3y = 18
The number of girls is 17 less than twice the number of boys. Right an equation about this description.
Answer:
g = 2b - 17
Step-by-step explanation:
Girls = g
Boys = b
g = 2b - 17
2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please
Answer:
x = 2b - a
Step-by-step explanation:
2(x + a) = 4b
2x + 2a = 4b
x + a = 2b
x = 2b - a
I think this question is incomplete
if a round cake has 30 slices how many slices will represent an angle of 216°?
Answer:18
Step-by-step explanation:360/30=12
216/12=18
Find the volume of the solid.
Answer:
Mushroom is a friends as as well as a foe give reason for the value of a and shss sag ni khana banaun lako I think it is a friends as as well as a foe give reason for the value of a and the value for money and the value of a and the value for money and the value for money and the value for money and the value.
Step-by-step explanation:
Mushroom is a friends as as well as a result in Nepal and bhailo essay writing about deusi and the value of x of a and the value of x of the following figure of a mushroom the value of a and the value of x of the following figure of a mushroom the value of x of the following a foe give reason for the value of x of the following figure out of the following figure of x of the value of a and the value for money and the value of a and the value of a and the value for money and the value for money and the value of a and the value for money and the value for money and the value for money to start a and the value of a and the value for money to start a and the value for money and the value for money and the value.K garde Khana khani I think. Um tani twvarkhar kam garxu bye badar vanar karako ni khana ko captain America and the value for money and the value for money and
Calculate the size of angle t
State any circle theorems that you use
Answer: 48
Step-by-step explanation:
The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
Using this knowledge we have that
t = 2 * 24
t = 48 degrees
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Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and .
+
Answer:
their lowest common multiple (LCM) is 60
Step-by-step explanation:
numbers, writing your answers on one line in the form,
The two numbers are ... and .
I CAN SOLVE PROBLEMS.
5. Create an equivalent expression using the
additive inverse property.
-17- (25)
-17-25
6. Divide
debelow and determine if it will
terminate or repeat
The equivalent expression using the additive inverse property is -17- 25
How to create an equivalent expression using the additive inverse property?The expression is given as:
-17- (25)
The additive inverse property states that:
-x + x = 0
This also states that
-(x) = -x
Using the above as a guide, we have the following equation
-17- (25) = -17- 25
Hence, the equivalent expression using the additive inverse property is -17- 25
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matt bought 2 packages of gum for 64 cents each he also bought a candy bar for 76 cents write an expression to show the best estimate for how much money matt spent
The expression to show the best estimate is 64 * 2 +76 * 1
How to write an expression to show the best estimate?The given parameters are:
Gum package = 64 cents eachNumber of gum package = 2Candy bar = 76 cents eachNumber of Candy bar = 1The expression to show the best estimate is
Expression = Gum package * Number of package + Candy bar * Number of bars
So, we have
Expression = 64 * 2 +76 * 1
Hence, the expression to show the best estimate is 64 * 2 +76 * 1
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Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.
please help, I need answers asap due tonight
The approximation for the square root of 15 is given as follows:
9 < 15 < 16.3 < sqrt(15) < 4.How to approximate a square root by perfect squares approximation?To approximate the square root of a number x by perfect square approximation, we have to find two numbers:
The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.Then, the square root of x will be on a compound interval between a and b.
For this problem, we have that:
3² = 9.4² = 16.Hence, the approximation for the square root of 15 is given as follows:
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16 X +12 over two equals 100
The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
Given that equation [tex]\frac{16x+12}{2}=100[/tex] and asked to evaluate the value of x in the given equation
⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=[tex]\frac{94}{8}[/tex](using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
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