The ^ operator in logical mathematics means the OR operation . Therefore , the statement ∧ and ∠means that a or the negation of a is joined by the or operation .
These are known as logical operations as they are based upon logic.The meaning of the term logic is reasoning which means to resonate. The reasoning may be a legal opinion or mathematical confirmation.
We apply logic on expression to check whether they are true of false . Some of the mathematical logics are a negation, conjunction, and disjunction logical operations. The symbols used for them in mathematical logic is, ‘~’ for negation ‘^’ for conjunction and ‘ v ‘ for disjunction.
To learn more about logical operations
brainly.com/question/13092292
#SPJ4
How do you tell if a set of ordered pairs satisfies an exponential function?
The following presumption has to be verified in order to establish whether the collection of ordered pairs fulfills an exponential function: The x-coordinates must have the same increment or a consistent difference.
What is an exponential function?A mathematical function of form f (x) = aˣ is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's basis and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the foundation for exponential functions that are most frequently utilized.
Characteristics are:
The fact that a⁰ = 1 causes them all to include the point (0, 1). Always an asymptote, the x-axis. If (0 < a < 1) or (1 < a), they are decreasing and growing, respectively.To know more about exponential function refer to:
https://brainly.com/question/12940982
#SPJ4
which answer is this
A.43
B.38
C.61
D.81
Answer:
81
Step-by-step explanation:
by corresponding angles from angle ABC
noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?
Answer:
17
I wish you luck in your assignments.
Equilateral triangle T is inscribed in circle A , which has radius 10 . Circle B with radius 3 is internally tangent to circle A at one vertex of T . Circles C and D , both with radius 2, are internally tangent to circle A at the other two vertices of T. Circles B, C , and D are all externally tangent to circle E, which has radius m/n , where m and nare relatively prime positive integers. Find m+n
For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.
Explain Law of Cosines.The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5,
So, the answer is 27 + 5 = 32
To know more about law of cosines, visit:
https://brainly.com/question/17289163
#SPJ4
Please please help me no links
What are the coordinates of point (x,y) when it is reflected across the line y=−x?
The coordinate of the reflection is (-y, -x)
How to determine the coordinate of the reflectionFrom the question, we have the following parameters that can be used in our computation:
Point = (x, y)
Reflection: Across the line y=−x
Using the above as a guide, we have the following:
The reflection of a point over the line y = -x implies that, the x-coordinate and y-coordinate change places Then they are negated (the signs are changed)So, we have
Image = (-y, -x)
Hence, the image is (-y, -x)
Read more about transformation at:
https://brainly.com/question/28797886
#SPJ1
Please help with this question!
Answer:
3. 17.2°
Step-by-step explanation:
The angles for the right triangle are 90°, 72.8°, and 17.2°.
Nora needs at least $115 for a new cell phone. She has already saved $45. She earns $7 an hour at her job. Write and solve an inequality to find how many hours she will need to work to buy the phone.
Answer:
Nora needs to work 10 hours to get 70 dollars to be able to have 115 to buy the new phone.
Step-by-step explanation:
45+7x = 115
45+7(10)
45+70
115
(Hope this helped! If you have any questions about this please comment) :D
will GIVE BRAINLIEST!
Answer:
22 ft
Step-by-step explanation:
The circumference of a circle with given diameter d is C = (3.14)d.
Here, C = (3.14)(7 ft) = 21.98 ft, or approximately 22 ft
Answer:
22ftStep-by-step explanation:
Here,
It gives the diameter of a [tex]\huge{\bigcirc}[/tex]d=7feet,
Here,
[tex]\pi = 3.14[/tex]
Then the circumference of that circle is
[tex]\bold{ \pi×d }[/tex] 3.14×721.98ft[tex]\bold{\approx{22} }[/tex]ftHence
The circumference of that circle is 23ft
A voltage of 20 volts flow through a wire of 2.5ohm's resistance. Calculate the current
Answer:
8 A
Step-by-step explanation:
V = 20 volts
R = 2.5 ohms
I=?
By Ohm's Law
[tex] \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere[/tex]
In the interval 0° < x < 360°, find the values of x for which tan x = -0.8645
Answer:
Step-by-step explanation:
x=tan^{-1}(-0.8645) \approx -40.84°,-40.84+180,-40.84+360
x=139.16°,319.16°
The values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
To find the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645, you can use the inverse tangent function (also known as arctan or atan). The inverse tangent function will give you the angle whose tangent is equal to the given value.
Using a calculator or a math software that supports trigonometric functions, you can take the inverse tangent (arctan) of -0.8645 to find the angle:
arctan(-0.8645) ≈ -40.82°
Since tangent is a periodic function with a period of 180°, you can find other angles that satisfy the equation by adding or subtracting multiples of 180°:
-40.82° + 180° ≈ 139.18°
-40.82° + 2 * 180° ≈ 299.18°
So, the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
To know more about interval here
https://brainly.com/question/30460486
#SPJ2
Find the largest prime number that divides the quantity 0! + (1!) x 1 + (2!) x 2 + (3!) x 3 + ... + (50!) x 50
The largest prime number that divides the quantity is the largest prime number less than 5.5e+22.
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number that divides a quantity is a prime number that is a factor of that quantity.
We can start by computing the values of the factorials, and then use the property of modular arithmetic to find the prime divisors of the quantity.
0! = 1
1! = 1
2! = 2
3! = 6
...
50! = 30414093201713378043612608166064768844377641568960512000000000000
Now we can write the expression as
(0! + 1x1!) + (2x2!) + (3x3!) + ... + (50x50!)
We can notice that the number is very large, and it's impractical to factorize it using traditional methods.
We can use the property that if n is not divisible by a prime number p, then n! is not divisible by p^2. So we can eliminate all the powers of 2 and 5 from the expression, since 2 and 5 are the only prime factors of the factorials.
The next step would be to check if the remaining number is divisible by any prime numbers.
Since it's impractical to check for all the prime numbers, we can use the fact that the largest prime number is less than the square root of the number in question. Therefore, we can check for all primes less than √(50!) = √(30414093201713378043612608166064768844377641568960512000000000000)
Which is approximately 5.5e+22.
Therefore, the largest prime number that divides the quantity is the largest prime number less than 5.5e+22.
It's important to note that this is a very large number and checking for all prime numbers less than it would take a long time. And thus, answer cannot be given.
To more about prime numbers visit: brainly.com/question/4184435
#SPJ4
(NEED HELP ASAP!!)
What are the coordinates of the focus of the parabola?
A: (8, 6)
B: (-8, 6)
C: (-8, 2)
D: (8, 2)
Answer:
C: (-8, 2)
Step-by-step explanation:
Given parabola:
[tex]y=-\dfrac{1}{8}x^2-2x-4[/tex]
For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.
Therefore, the x-value of the vertex of the given parabola is:
[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8[/tex]
To find the y-value of the vertex, input x = -8 into the given equation:
[tex]\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4[/tex]
Therefore, the vertex (h, k) of the parabola is (-8, 4).
The focus of the parabola is (h, k+p) where:
(h, k) is the vertex[tex]p=\dfrac{1}{4a}[/tex]Therefore:
[tex]\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)[/tex]
Uppose you have a bag of marbles and of the marbles are . If you choose one without looking, the probability you choose marble is
. How can you write this probability as a decimal? Write this probability as a decimal. Use a word or phrase to describe this probability.
How do you change the fraction to a decimal?
A. Multiply the numerator and denominator by .
B. Divide the denominator by the numerator.
C Divide the numerator by the denominator..
D. Multiply the numerator by the denominator.
Write a story problem using sea level that includes both integers -110 and 120
Answer:
A diver dove down in the ocean, they went down to 120 meters, They then proceeded to swim up resulting them at -110 meters, did they pass they 0 sea level? If yes, how?
Step-by-step explanation:
PLEASE HELP ITS ATEST I BEG U. NEED HELP
Answer:
36 degrees
Step-by-step explanation:
angle 1 and 2 are the same
good luck!
Complementary angles are of 90°.
So, angle 1 + angle 2 = 90°
=> 36° + angle 2 = 90°
=> angle 2 = 90° - 36°
=> angle 2 = 54°
How many 1/3 ounce cups can be taken
Answer:
90
Step-by-step explanation:
If we know that for every cup, we can take 3 of 1/3-ounce cups, we can use an equation that looks like this:
number of cups × 3 = total 1/3-ounce cups
If there are 30 cups, then we can simply insert 30 into the equation.
30 × 3 = 90
Therefore, you can make 90 1/3-ounce cups from the cereal box.
Please help me !!
this the last question !!
Answer:
2 ≥ p
Step-by-step explanation:
-14 ≤ -7p
Divided both sides by -7. Because divided by a negative number, the < will turn to >
So, the equation is
2 ≥ p
Because there is an equal, the circle will be close and to the left of 2.
Answer:
2 ≥ p
Step-by-step explanation:
Have a great day :) <3
Does the table represent a linear or nonlinear function?
Answer:
Linear
Step-by-step explanation:
Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.
Help me please, worth 20 points
Answer:
It's actually worth 10 points
Big orange trucking is designing an information system for use in "in-cab" communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for the variables wind direction, temperature, and pavement
Wind direction [Mode] is South west
The [Mean] temperature is
The [Bimodal] pavement is Dry Wet
From the question the first question is to determine the wind direction
Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
So
The mode is Southwest
This means that the wind direction is Southwest
From the question second question is to determine the temperature
Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column
This is mathematically represented as
T = 89+86+....+93+93/8
T = 91
From the question, the first question is to determine the pavement
Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
From the table we see that the pavement that the pavement column is bimodal
So the mode is Dry Wet
This mean that the pavement is Dry Wet
To learn more about Appropriate measure, Visit
https://brainly.com/question/17433567
#SPJ4
Points A, R and G are points of tangency. Find the perimeter of ∆NET below.
Answer:
[tex]\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]
Select all the statistical questions
Answer:
B and C
Step-by-step explanation:
A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question
If the answer is yes, no, true, false, or something exact, then the question is not statistical.
Let's analyze the given questions:
a) "How many cups are in a gallon?"
There is an exact number of cups in a gallon (16) so this is not an staistical question.
b) "Which measure spoon do home backers use most frequently?"
While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.
c) "On average, how much salt do professional pastry chefs use in pie crust?"
Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.
d) "Which is larger, 17 ounces or 2 cups?"
Here we have an exact solution, so this is not a statistical question.
e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"
Here we just need to compare the two numbers:
number of measuring cups sold = k
number of measuring spoons sold = m
And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.
This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.
Then the correct options are: B and C
Which graph represents a relation that is NOT a function
Answer:
3) if you were to draw vertical lines through this graph you would have instances where an 'x' value would have more than one unique 'y' value
Step-by-step explanation:
functions must have one unique 'y' value for each 'x' value
The third graph represent a relation that is not a function
What is a function?A relation is a function if it has only One y-value for each x-value.
The third one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).
In order to see it better, you can trace a vertical line onto that graph.
If that line and the graph intersects in more than one point, then that graph doesn't represent a function.
In every function, you must have a single "y" value for each "x" in the domain.
Hence, the third graph represent a relation that is not a function
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ2
GUYS I NEED HELP WHAT IS (8x[1 +(20 - 6)]} divided by 1/2
Answer:
240x is=f simplfied.
Step-by-step explanation:
Simplifying algebraic expressions
Answer:
Step-by-step explanation:
Plug in 5 for h
6(5)+7(5)
30+35=65
65
Answer:
[tex] \sf \: 6h + 7h = 65[/tex]
Step-by-step explanation:
Given information,
→ 6h + 7h
→ h = 5
Now the final value will be,
→ 6h + 7h
→ 6(5) + 7(5)
→ 30 + 35
→ 65 => final value
Hence, the answer is 65.
the cost of kens car wash was $23.95. if he wants to givve his detailer a 15% tip,about how much of a tip should he leave
Ken should leave a $3.59 tip.
We will discuss algebra, a branch of mathematics that deals with symbols and the rules for manipulating them, in the context of algebra word problem worksheets.
They represent variables or quantities without set values. Our abilities to construct and solve equations must be combined in order to solve algebraic word problems.
It is crucial to start by converting verbal descriptions into algebraic formulas before tackling word issues.
To find the amount of tip he should give, we note that 15% is equal to 0.15 as a decimal.
23.95 * 0.15= 3.5925≈3.59 (approximately)
Therefore, Ken should leave a $3.59 tip.
To know more about word problems visit: brainly.com/question/29203255
#SPJ4
Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of "y" on the missing side TU?
Answer:
[tex]x = 15[/tex]
[tex]y = 25[/tex]
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
[tex]MN : RS[/tex]
[tex]NP : ST[/tex]
[tex]PQ : TU[/tex]
[tex]MQ : RU[/tex]
From the attachment, we have:
[tex]MN : RS \to 18 : 30[/tex]
[tex]NP : ST \to x : 25[/tex]
[tex]PQ : TU \to 15 : y[/tex]
To solve for x, we equate [tex]MN : RS[/tex] and [tex]NP : ST[/tex]
[tex]18 : 30 = x : 25[/tex]
Express as fraction
[tex]\frac{18 }{ 30 }= \frac{x }{ 25}[/tex]
Make x the subject
[tex]x = 25 * \frac{18 }{ 30 }[/tex]
[tex]x = \frac{25 * 18 }{ 30 }[/tex]
[tex]x = \frac{450}{ 30 }[/tex]
[tex]x = 15[/tex]
To solve for y, we equate [tex]MN : RS[/tex] and [tex]PQ : TU[/tex]
[tex]18 : 30 = 15 : y[/tex]
Express as fraction
[tex]\frac{18 }{ 30 }= \frac{15 }{ y}[/tex]
Make y the subject
[tex]y = 15 * \frac{30 }{ 18 }[/tex]
[tex]y = \frac{15 *30}{ 18 }[/tex]
[tex]y = \frac{450}{ 18 }[/tex]
[tex]y = 25[/tex]
a mother is twice as old as her daughter 5 years from now she will be thrice as old as her daughter how old is the mother five years from now
Representation:
equation:
solution:
answer:
Answer:
Let's define the variables:
M = mother's age
D = daughter's age.
"a mother is twice as old as her daughter"
This can be written as:
M = 2*D
"5 years from now she will be thrice as old as her daughter"
(M + 5) = 3*D
We want to know how old is the mother five years from now.
First, our equations are:
M = 2*D
(M + 5) = 3*D
First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.
Let's isolate D in the first equation:
M/2 = D
Now we can replace this in the other equation:
Now we can replace this on the other equation:
(M + 5) = 3*(M/2)
M + 5 - (3/2)*M = 0
-(1/2)*M + 5 = 0
5 = (1/2)*M
2*5 = M = 10
So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)
and 5 years from now, the mother will be:
10 + 5 = 15 years old.
i dont understand it
Answer:
x=-3
y=10
Step-by-step explanation: