We have 3 points: P, M and T, that are on the same line.
The relation between the segments is:
\(PT-PM=MT\)We can re-write this as:
\(PM+MT=PT\)Written in this way, we can see that the point M is between points P and T.
What is 8\%8%8, percent of 100010001000?
Answer:
Step-by-step explanation:
answer is 80
8 percent of 1000 is 80.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given a number that is the 8 percent of 1000.
from the formula of percentage:
Percent = (value/total value)×100%.
In our case,
percent = 8 %
Total value is 1000
thus, Value = 8 * 1000/100
Value = 80
therfore, 80 is the value of 8 percent of 1000.
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Complete question:
What is8% percent of 1000?
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
Subject: Number Theory
Topic: Legendre Symbol (Euler's Criterion Theorem)
Prove or Disprove: Let =13 and =3. Then (3/13) = −1 ≡ 3^6 ( 13)
Answer:
(3/13) = -1 ≡ 3^6 (mod 13)
Step-by-step explanation:
We can use Euler's criterion theorem to prove or disprove the statement.
Euler's criterion states that for an odd prime p and integer a not divisible by p,
a^((p-1)/2) ≡ (a/p) (mod p)
where (a/p) is the Legendre symbol. If (a/p) = 1, then a is a quadratic residue modulo p, and if (a/p) = -1, then a is a quadratic non-residue modulo p.
In this case, we have p = 13 and a = 3. Therefore, we need to evaluate:
3^6 ≡ (3/13) (mod 13)
To evaluate (3/13), we need to use the properties of the Legendre symbol. First, we note that:
(3/13) ≡ (-1/13) (3/13)
since (-1/13) = (-1)^((13-1)/2) = 1 by Euler's criterion. Next, we use the quadratic reciprocity law to simplify (-1/13):
(-1/13) = (-1)^((13-1)/2) * (13-1)/2 = 1
Therefore, we have:
(3/13) ≡ (-1/13) (3/13) ≡ 1 * (3/13) ≡ (3/13)
So we need to evaluate (3/13) to determine if it is equal to 1 or -1.
To do this, we can use the quadratic reciprocity law again:
(3/13) = (13/3) * (-1/3)
Since 13 ≡ 1 (mod 3), we have:
(13/3) = (1/3) = 1
Since 3 ≡ 3 (mod 4), we have:
(-1/3) = -1
Therefore, we have:
(3/13) = (13/3) * (-1/3) = 1 * (-1) = -1
So (3/13) = -1.
Therefore, the statement is true, and we have:
(3/13) = -1 ≡ 3^6 (mod 13)
How much must be the last repayment be made if the loan is terminated after 5 year for which a loan of K10,000 is taken at 12% p.a. flat, where the loan is repaid by equal quarterly repayments for 9 years?
Answer:
Step-by-step explanation:
An orchard has 352 apple trees. The number of rows exceeds the number of trees per row by 6. How many trees are there in each row?
Answer:
16 trees
Step-by-step explanation:
1. First, let's find the positive factors of 352.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 3522. Now, let's find the two factors that have one number 6 more than the other.
1, 3522, 1764, 888, 4411, 3216, 223. Okay, 16 and 22 have one number that's 6 more than the other. Since the number of rows exceeds the number of trees per row by 6, 22 is the number of rows, and there are 16 trees in each row.
Which graph represents the equation y = – (x – 1)2 + 1?
Answer:
No graph was put in, but heres a helpful answer.
Step-by-step explanation:
There is no graph, but
Y=-1(2x-2)+1
y=-2x+2+1
y=-2x+3
The required graph has been attached below that represents the equation of the parabola y = – (x – 1)² + 1.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c.
The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The equation of the parabola is given in the question, as follows:
y = – (x – 1)² + 1
As we know that parabola is, an open curve is a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Here, (1,1) is most likely to be the relative maximum for this graph.
The required graph has been attached below that represents the equation y = – (x – 1)² + 1.
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(I'll be giving brainliest and extra points to who ever helps me!!)
Solve one and three fourths times two fourths.
A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths
Answer:
A. fourteen sixteenths
Step-by-step explanation:
\(1\frac{3}{4} x \frac{2}{4}\)
\(\frac{7}{4} x \frac{2}{4}\)
\(\frac{14}{16}\)
Hope I helped you out!
~PumpkinSpice1
♥☼☺
Answer:
A it didnt let me answer at first and it dose now
Step-by-step explanation:
A laser printer prints 135 pages in 5 minutes. How many pages does it print in 22 minutes? *
Answer:
594
Step-by-step explanation:
divide the total amount of pages to find the amount that can be printed per minute. this will give you 27 pages per minute, multiply this by the 22 minutes in the question to get a grand total of 594 pages in 22 minutes.
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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PLS HELP ASAPPPPPPP
I NEED HELP
The tables which shows a proportional relationship between x and y are table 3 and table 4.
Which table shows a proportional relationship between x and y?Using ratio to find the proportional relationship
Table 1
x : y = 8 : 8
= 1 : 1
x : y = 12 : 10
= 6 : 5
Not proportional
Table 2:
x : y = 2 : 3
x : y = 3 : 8
Not proportional
Table 3:
x : y = 5 : 3
x : y = 10 : 6
= 5 : 3
Proportional
Table 4:
x : y = 4 : 1
x : y = 16 : 4
= 4 : 1
Proportional
Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.
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If there are penguins in the aquarium is full of fish, then this is an octopus write
this in Symbolic form
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
How to explain the informationLet's assign variables to represent the statements:
q: The aquarium is full of fish.
r: There are penguins.
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
∧ represents the logical operator "and" which connects the statements r and q.
→ represents the logical operator "implies" or "if...then".
o represents the statement "this is an octopus".
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Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
I need the correct answers help pls
Answer:
find the sample variance and standard deviation
Step-by-step explanation:
f(g(x)) = f( 4x ) = (4x)² - 8(4x) + 4 = 16x² - 32x + 4
i need answer, pls help
The position vector of M = 3p/4 + q
What is a vector?A vector is a physical quantity that has both magnitude and direction.
Since OABC is a trapezium and O is the origin. M is the midpoint of AB.
OB = p and OC = q and OA = 2CB.
We desire to find the position vector of M. We proceed as follows
From the diagram, we see that
OA = OC + CA
Also, CA = CB + BA
Substituting this into OA, we have that
OA = OC + CA
OA = OC + CB + BA
Also, BA = BM + MA
So, OA = OC + CB + BA
OA = OC + CB + BM + MA
Now, since M is the midpoint of AB, we have that BM = MA
So, substituting this into the equation, we have
OA = OC + CB + BM + MA
OA = OC + CB + MA + MA
OA = OC + CB + 2MA
Also,OA = 2CB
⇒ CB = OA/2
So, OA = OC + CB + 2MA
OA = OC + OA/2 + 2MA
OA - OA/2 = OC + 2MA
OA/2 = OC + 2MA
OA/2 - OC = 2MA
MA = OA/4 - OC
Now, MA = OA - OM
So, MA = OA/4 - OC
OA - OM = OA/4 - OC
-OM = -OA + OA/4 - OC
-OM = -3OA/4 - OC
OM = 3OA/4 + OC
Also, we have that OM = M - O = M.
So,
OM = 3OA/4 + OC
M = 3OA/4 + OC
Given that
OA = p and OC = qSubstituting these into the equation, we have that
M = 3OA/4 + OC
M = 3p/4 + q
So, M = 3p/4 + q
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The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle. Use the formula, area =length*width.
Answer:
width =20
length = 1
Step-by-step explanation:
length = w - 19
A = l*w
20 = (w-19) * w
20 = w^2 - 19w
Subtract 20 from each side
0 = w^2 - 19w - 20
Factor
0 = (w+1)(w-20)
Using the zero product property
w+1 = 0 w-20 = 0
w = -1 w=20
Widths cannot be negative
w=20
l = 20-19 = 1
what is the height I need to get a 100 on this one someone help please
Answer:
\(\bf 5\:inches\)
Step-by-step explanation:
Missing Height= ?
missing height:-
\(\bf 15\:in-10\;in\)
\(\bf =5 \; in\)
Therefore, the missing height is 5 inches.
how do I graph
A = 40x + 70
go to desmos. com then press graphing calculator then type it in!
Which pair of triangles can be proven congruent by the HL theorem?
2 right triangles have congruent hypotenuses.
2 triangles have one congruent angle and 2 congruent sides.
2 right triangles have congruent hypotenuses and another congruent side.
2 triangles have 3 congruent sides.
Answer:
C 2 right triangles have congruent hypotenuses and another congruent side
Step-by-step explanation:
The HL theorem applies only to right triangles. In order for it to apply, the hypotenuse (H) must be congruent, and one legs (L) must be congruent from one triangle to the other.
__
If you recognize that HL is an abbreviation for Hypotenuse-Leg, then the wording of your answer choices tells you which is correct.
Answer:
c rotation
Step-by-step explanation:
Find the value of X.?
Answer:
x = 50°
Step-by-step explanation:
I added a photo of my notes
The tangent to the radius forms a right angle, so the angles DAC and DBC are right angles (90 degrees)
DC - hypotenuse
Triangle's angles' total sum is equal to 180 degrees
\(180° - 90° - 65° = (0.5x)°\)
\((0.5x)° = 25\)
\(x = 50°\)
• A: Coupon rate = 3.5%, YTM = 4%
• B: Coupon rate = 3.2%, YTM = 3.2%
• C. Coupon rate = 2.8%, YTM = 3.5%
D: Coupon rate = 4%, YTM = 3.7%
Which of the bonds is selling at a premium?
Answer:
3.5%YTM=4%IS the answer
Learning Task 3: Read and interpret the graph. Answer the questions that follow on your pape School Books English Math 20 80 60 Number of Books Key: Light Bar-2013: Dark Bar- 2014 1. What is the title of the double horizontal bar graph? 2. What information is found in the horizontal axis? 3. How many pupils chose math book? 4. How many more Math books than English books were borrowed? 5. How many Math books were borrowed in 2013? 2014? 6. How many more books were borrowed in 2014 than 2013? Books
Answer:
Step-by-step explanation:
1.) Number of math and english books in 2013 and 2014
2.) 2013 books = 60 +80 = 140
2015 books = 80 +100 = 180
3.) 2013 + 2014 books
= 80 + 100 = 180
4.) Math books =180 and english books = 140
sp 180 -140 = 40
5.) In 2013, math books = 80 books and for 2014 = 100 books
6.)
2013, math + english books.
60 + 80 =140
in 2014 = 80 +100
= 180
if f(x) = -x +6 and the domain of f is {3,7,11}, what is the range of f(x)
Answer:
Step-by-step explanation:
f(3) = -3 + 6 = 3
f(7)= -7 + 6 = -1
f(11)= -11 + 6 = -5
range:{3, -1, -5}
What is the probability of picking a purple marble and spinning green?
Pls help.....................
Answer:
x<-1
Step-by-step explanation:
Which associations best describe the scatter plot?
Select each correct answer.
Select 2 correct answer(s)
Question 5 options:
Positive association
Nonlinear association
Linear association
Negative association
The associations that best describe the scatter plot is Option A and C
Positive associationLinear associationWhat characteristics mark a strong connection?When below-average values also tend to occur together and above-average values of one variable tend to be accompanied by below-average values of the other, there is a positive association between the two variables. When the average values of two variables tend to be below average, two variables have a negative connection.
Note that a statistical term used to describe a straight-line relationship between two variables is a linear relationship (or linear association).
Additionally, a straight line connecting the spots indicates a linear association. As a result, the scatter plot indicates that as practice time increases, giving off also rise.
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The association that describe the scatter plot is
Positive associationLinear associationWhat is scatter plot ?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events (called variables).
The connection is positive if the variables tend to rise and fall together. When one variable tends to rise while the other falls, there is a negative connection.
The connection between the variables demonstrates a straight line in the positive direction. hence the option having linear and positive association is the correct choice
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Two bells P and Q ring at intervals of 3hours and 4hours respectively. After how many hours will the two bells first ring simultaneously (at the same time)
Answer:
12 hours
Step-by-step explanation:
4 / 2
2/2
1
4 = 2²
2² x 3 = 4 x 3 = 12
What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
Does anyone know what the answer please?
Answer:
<1 = 73
Step-by-step explanation:
All triangle interior angles add up to 180 so:
<1 + 55 + 52 = 180
<1 + 107 = 180
<1 = 180 - 107
<1 = 73
What are the coordinates of point A?
Answer:
Step-by-step explanation:
I believe its
(-2,-6)