Answer:
A strict order and a total order.
Step-by-step explanation:
We are told that no two people in the group have the same birth date. Thus, it means either one of the date is less than the other. This is asymmetric and as such it is a characteristic of strict orders.
Also, since x’s birth date is earlier than y’s birth date, it means that x ≤ y which is the relation in total order which states that in general, two numbers have two conditions where either of them is less than or equal to the other and as such the two numbers selected don't really matter.
The sum of two polynomials is –yz2 - 322 – 4y + 4. If one of the polynomials is y - 4yz2 - 3, what is the other polynomial? 0 -2yz? – 4y + 7 01-2yz? – 3y + 1 0 -5yz2 + 3z2 – 3y + 1 03yz2 - 3z2 – 5y +7 Done Intro ok
.
Answer:
3yz² - 3z² - 5y + 7
Step-by-step explanation:
Sum of two polynomials = –yz² - 3z² – 4y + 4
One of the polynomial = y - 4yz²- 3
Find the other polynomial
The other polynomial = sum of the polynomials - one of the polynomial
= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)
= –yz² - 3z² – 4y + 4 - y + 4yz² + 3
= -yz² + 4yz² - 3z² - 4y - y + 4 + 3
= 3yz² - 3z² - 5y + 7
A. 0 -2yz?
B. – 4y + 7 01 - 2yz
C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list. Enter your answers in terms of degrees. Round your answers to two decimal places.) (−3, −5), (2, 6), (6, 3)
Answer:
23.92°, 78.503°, and 77.577°
Step-by-step explanation:
The coordinates of the vertices of the triangle are;
X(-3, -5), Y(2, 6), Z(6, 3)
The vectors are;
z = [tex]\left \langle 2 - (-3), 6 - (-5) \right \rangle[/tex] = [tex]\left \langle 5, 11 \right \rangle[/tex]
y = [tex]\left \langle 6 - (-3), 3 - (-5) \right \rangle[/tex] = [tex]\left \langle 9, 8 \right \rangle[/tex]
x = [tex]\left \langle 2 - 6, 6 - 3 \right \rangle[/tex] = [tex]\left \langle -4, 3 \right \rangle[/tex]
[tex]cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}[/tex]
Therefore, we get;
[tex]cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409[/tex]
α = arccos(0.91490) ≈ 23.92°
γ = The angle between -y and x
-y = [tex]\left \langle -9, -8 \right \rangle[/tex]
We get;
[tex]cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}[/tex]
Therefore;
[tex]cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309[/tex]
γ = arccos(0.199309) ≈ 78.503°
γ ≈ 78.503°
By angle sum property, β = 180° - (α + β)
β ≈ 180° - (23.92° + 78.503°) = 77.577°
β ≈ 77.577°
The interior angles are;
23.92°, 78.503°, and 77.577°
what equations equals 28
The solutions to the equations are:
x = 21,
x = 7,
4 * 7 = 28,
3³ - 2³ = 19, and 30 - 2 = 28.
We have,
x + 7 = 28
To solve for x, we can subtract 7 from both sides of the equation:
x + 7 - 7 = 28 - 7
x = 21
So, the solution to the equation x + 7 = 28 is x = 21.
2x + 14 = 28
To solve for x, we can subtract 14 from both sides of the equation:
2x + 14 - 14 = 28 - 14
2x = 14
Next, we divide both sides of the equation by 2 to isolate x:
2x/2 = 14/2
x = 7
Therefore, the solution to the equation 2x + 14 = 28 is x = 7.
4 * 7 = 28
This equation is already solved.
The product of 4 and 7 is 28.
So, the equation 4 * 7 = 28 is true.
3³ - 2³ = 28
To solve this equation, we need to evaluate the exponentials:
3³ - 2³ = 27 - 8 = 19
Therefore, the equation 3³ - 2³ = 28 is not true; the correct value is 19.
30 - 2 = 28
This equation is already solved.
The difference between 30 and 2 is indeed 28.
So, the equation 30 - 2 = 28 is true.
Thus,
The solutions to the equations are:
x = 21,
x = 7,
4 * 7 = 28,
3³ - 2³ = 19, and 30 - 2 = 28.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
The complete question:
x + 7 = 28
2x + 14 = 28
4 * 7 = 28
3^3 - 2^3 = 28
30 - 2 = 28
the function f(x) and g(x) are graphed of the set of aces below. for which value of x is f(x)≠g(x)
Answer:
[tex]f(x)\neq g(x)[/tex]
[tex]when ~x=3[/tex]
[tex]So, the ~third~ option~is ~your~ answer[/tex]
-----------------------hope it helps...have a great day!!Which of the following phases translate to the expression y+7
Answer:
what are the phrases to choose from?
Step-by-step explanation:
What is 3.055 rounded to the nearest hundredth
Answer:
3.06
Step-by-step explanation:
3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06
Answer:
3.055 rounded to the nearest hundredth = 3.06
With the help of a conservation program, the number of
lions in a wildlife preserve increased from 25 to 40 over a short period of
time. What is the percentage increase in the number of lions? Round your
answer to the nearest tenth of a percent.
A) 15.0%
B) 37.5%
C) 60,0%
D) 62.5%
Answer:
b
Step-by-step explanation:
no clue just copied someone else tehehe
A football team won 16 games last year.
This
year the team won 20 games. What
is the
percent increase in the number of
games the team won from last year to this
year?
Answer:
they increased by 25%
Step-by-step explanation:
16/4 = 4. 16+4 = 20. Because of this, the number of wins increased by 4, or 1/4 of last year's wins. this means it increased by 25%.
The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by a, b, and c.
The sum of the three is 103. Thus, we can write that:
[tex]a+b+c=103[/tex]
The second number is five less than the first. So:
[tex]b=a-5[/tex]
And the third number is four times the first. So:
[tex]c=4a[/tex]
Substitute:
[tex]a+(a-5)+(4a)=103[/tex]
Solve for a. Combine like terms:
[tex]6a-5=103[/tex]
Add five to both sides:
[tex]6a=108[/tex]
And divide both sides by six. Therefore:
[tex]a=18[/tex]
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
The sum of two numbers is 33 and thier difference is 2 find the number
Answer:
17.5 + 15.5
Step-by-step explanation:
17+ 15 = 32
.5 + .5 = 1
32 + 1 = 33
Answer:
15.5 and 17.5
Step-by-step explanation:
Let x and y be the two numbers
x+y = 33
x-y = 2
Add the two equations together
x+y = 33
x-y = 2
-----------------
2x = 35
Divide by 2
2x/2 = 35/2
x = 17.5
Substitute into
x+y = 33
17.5 +y = 33
y = 33-17.5
y = 15.5
I WILL GIVE BRAINLIEST HELPP PLS
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = a
b = 9
c = 15
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 9² = 15²Evaluate exponents: a² + 81 = 225[Subtraction Property of Equality] Subtract 81 on both sides: a² = 144[Equality Property] Square root both sides: a = 12pls help due in like 2 hours lol
Answer:
Step-by-step explanation:
95+16x-4=-1+39x
91+16x=-1+39x
91+1=39x-16x
92=23x
92/23=x
4=x
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Construct the 95% confidence interval estimate of the mean VAS score for patients given the magnet treatment. Find the Standard error and critical value. construct the 95% confidence interval estimate of the mean VAS score for patients given the sham treatment. You may do the shortcut.
Answer:
(3.442 ; 6.558)
Step-by-step explanation:
Given :
Mean score after patient is given the magnet treatment :
Mean score, xbar = 5
Standard deviation, s = 2.4
Sample size, n = 20
The confidence interval :
Mean ± margin of error
Margin of Error = Tcritical * standard error
The critical value at 95%, df = 20 - 1 = 19
Tcritical = 2.093 (T-student distribution)
The standard error = s/√n = 2.4 / √20 = 0.5367
The margin of error = 2.903 * 0.5367 = 1.558
The confidence interval :
Xbar ± Margin of error
5 ± 1.558
(3.442 ; 6.558)
A student is trying to calculate his semester average. He knows that his test average is an 80, his quiz average is a 72, homework is a 90, and classwork is a 93. If tests and quizzes are worth 30% each, and homework and classwork are worth 20% of his overall average, what is his average? Round to the nearest tenth.
What is the mean?
As per linear equation, the average of the student is 82.2.
The mean is 83.75.
What is a linear equation?A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.
The student got test average of 80, his quiz average of 72, homework of 90, and classwork of 93.
Test is worth of 30%.
Therefore, the weightage of test is
= 80 × 30%
= 24
Quiz is worth of 30%.
Therefore, the weightage of quiz is
= 72 × 30%
= 21.6
Homework is worth of 20%.
Therefore, the weightage of homework is
= 90 × 20%
= 18
Classwork is worth of 20%.
Therefore, the weightage of classwork is
= 93 × 20%
= 18.6
Therefore, the average of the student is
= (24 + 21.6 + 18 + 18.6)
= 82.2
Now, the mean is
= (80 + 72 + 90 + 93)/4
= 83.75
Learn more about the mean of a data set here: brainly.com/question/24245170
#SPJ2
match each quadratic function given in factored from with its equivalent standard from listed on the left.
Which survey is most likely affected by bias
A) a server asking randomly selected bike riders if they wear a helmet or not.
B. a survey of supermarket shoppers about their favorite grocery store.
C. a survey of randomly selected students and teachers about the cell phone policy in their school district.
Can someone help me out ASAP
I WILL GIVE OUT BRAINLY
Answer: area= 16.8 yds^2
perimeter=18.8 yds
Step-by-step explanation:
Answer:
Perimeter = 20.2876 yds and Area = 16.8 yds^2
Step-by-step explanation:
Hope this helps :).
what is psychology?
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Step-by-step explanation:
HELPPPPPPPPPPPP!!!!!!!!!!!
Answer:
20^4
Step-by-step explanation:
2^4x10^4=160000
20^4=160000
Parallelogram T U V S is shown. Angle U is (4 x + 9) degrees and angle V is (6 x minus 29) degrees.
Which angles equal 91°?
angles T and V
angles S and U
angles U and V
angles S and T
==========================================================
Explanation:
Angles U and V are adjacent angles since they are right next to each other in the letter sequence TUVS.
When dealing with parallelograms, adjacent angles are always supplementary (meaning they add to 180).
U+V = 180
(4x+9) + (6x-29) = 180
10x-20 = 180
10x = 180+20
10x = 200
x = 200/10
x = 20
Use this x value to find each angle mentioned
angle U = 4x+9 = 4*20+9 = 89 degreesangle V = 6x-29 = 6*20-29 = 91 degreesWe can see that U+V = 89+91 = 180 which helps confirm our answer so far.
Angle V is part of the answer we want. The angle opposite this is angle T.
We can identify a pair of opposite angles by looking at letters where they are separated by some other letter between them.
Opposite angles in a parallelogram are always the same measure. Both angles T and V are 91 degrees.
That means angles U and S are each 89 degrees.
Answer:
The answer is A- angles T and V
Step-by-step explanation:
took test on egde
Which of the following equations has 4 as a possible value of z?
Answer:
a
Step-by-step explanation:
4 to the power of 4 is just 4x4 which equals 16
Select the correct answer.
Simplify the expression so there is only one power for each base.
(3-2) = (32.23)
A. 33.23
OB. 32.22
OC. 37:28
OD. 33.2²
Answer:
Your answer for the above equation is D
can you help me figure to how to get the answer to this question
Answer:
Step-by-step explanation:
scale factor=3/2
(8,6)
(12,6)
(12,10)
use formula
(x,y)=(kx,ky) (k means scale factor)
(8,6)=(3/2*8 , 3/*6)
=(24/2 , 18/2)
=(12 , 9)
(12,6)=(3/2*12 , 3/2*6)
=(36/2 , 18/2)
=(18 , 9)
(12,10)=(3/2*12 , 3/2*10)
=(36/2 , 30/2)
=(18 , 15)
Answer:
18 ,15
Step-by-step explanation:
jwihehf
kkeje
kkejjehgo
ekke
Please help me on this!!!!!
what's the question ? is there something you don't understand
which function is graphed below?
Answer:
f(x) = sin(x)
Step-by-step explanation:
sin(x) = 0 for x = n×pi, n>=0
sin(x) = 1 for pi/2 and so on
so, clearly that graph is a pure sine wave.
Please help me it’s important for me i will give brainlest
Answer:
tpuedoec dir ee haas cog qmoa untarampu
Solo haavmae srame ipunater iad
Help me please. I did the rest I just need f thank you
Answer:
None of these
Step-by-step explanation:
Corresponding, alternate interior, and same side interior angles only occur in a set of parallel lines. In figure f, none of the lines are parallel. Straight angles are defined as angles that make up one side of the line, or 180 degrees, and as the picture clearly shows, this is not the case.
Answer:
a.straight
b.corresponding
c.alternate interior
d.none of these
e.none of these
f.none of these
g.none of these
h.none of these
i.same side interior
What is the volume of a cylinder with a height of 16.9 in and a base with a diameter of 9.6 in, to the nearest tenth of a cubic inch?
Answer: 1223.3in^3
the answer is straight from delta math, and rounded to the nearest tenth.
Find the sum of these polynomials (x2-5x+3)+(2x2-3x-7)
Answer:
x=2
Step-by-step explanation:
5x+3)+(2x2-3x-7)