Answer:
In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.
Step-by-step explanation:
the speed of a boat in still water is 15 kilometre per hour and the speed of a stream is 5 kilometre per hour find the time taken by the board to cover 40 km upstream
Answer: 4 hours
Step-by-step explanation:
distance (d) = [rate (r) - current (c)] × time (t)
Given: d = 40, r = 15, c = 5
40 = (15 - 5)t
40 = 10t
4 = t
Which of the following could be a rational number?
Group of answer choices
the sum of two irrational numbers
the sum of a rational number and an irrational number
the product of a rational number and an irrational number
the product of two irrational numbers
Answer:
the sum of two irrational numbers
Step-by-step explanation:
Solve c= 8a-3b for a
Answer:
(c+3b)/8 = a
Step-by-step explanation:
c= 8a-3b
Add 3b to each side
c+3b= 8a-3b+3b
c+3b = 8a
Divide each side by 8
(c+3b)/8 = 8a/8
(c+3b)/8 = a
PLEASE HELP MEE
These four cubes were placed in a bag. What
is the probability that the dark one would
be pulled out of the bag first?
Answer:
1/4
Step-by-step explanation:
You have to look at the total number of items there are in the problem, since there are 4 cubes in total and there is only 1 dark cube and three white, there will be a quarter of the chance to pull it out, compared to 3/4 of a chance to pull a white one out.
Select all sets in which the number is an element. A. natural numbers B. real numbers C. whole numbers D. rational numbers E. irrational numbers F. integers
Answer:
a,c,d
Step-by-step explanation:
yea
The set of a number is the list of possible values the number can take. The set of -4 are:
B. real numbers D. rational numbers F. integersThe number is given as -4
Analyze each option as follows
A. Natural numbers are whole numbers greater than 0.
-4 is less than 0; this means -4 is not a natural number
B. Real numbers is the totality of all numbers.
This means that -4 is a real number
C. Whole numbers are non-negative numbers without decimal point.
-4 is negative; this means -4 is not a whole number
D. Rational numbers are numbers that can be expressed as a fraction
-4 can be expressed as a fraction. e.g. [tex]-\frac{8}{2} = -4[/tex]
This means that -4 is a rational number
E. If a number is rational, then the number cannot be irrational. This means that -4 is not irrational.
F. Integers are numbers without decimal point.
-4 has no decimal point. This means that -4 is an integer.
Hence, the following options are true.
B. real numbers D. rational numbers and F. integers
Learn more about numbers at:
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i need some help lol u get 100 for answering
Answer:
see below
Step-by-step explanation:
-6.75 is a rational real number
since it is not a whole number or a counting number
sqrt(175) = 5 sqrt(7) = irrational real number
since sqrt(7) is irrational
5 pi = irrational real number
since pi is irrational
30/3 = 10 = natural , whole, integer, rational, real number
since this is a counting number
- sqrt(9) = -3 integer, rational, real number
since this is negative
Answer:
see attached
Step-by-step explanation:
1. How many types of terms are there?
Answer:
The are two types of terms.
One is Express terms: these are laid down by the parties themselves.
The second is Implied terms: these are read into the contract by the court on the basis of the nature of the agreement and the parties' apparent intentions, or on the basis of law on certain types of contract.
Hope this helps!
En un entrenamiento, Mariana metió 12 de los 15 tiros al arco que pateo. Carla tuvo una efectividad del 75%. Cual de las dos chicas tuvo un mejor desempeño al pasear al arco?
Answer:
Mariana has better performance.
Step-by-step explanation:
We are given that in a training session, Mariana made 12 of the 15 shots on goal that she kicked and Carla had an effectiveness of 75%.
And we have to find which girl's performance is better.
Since it is stated that Carla had an effectiveness of 75%.
Similarly, we will find the effectiveness of Mariana;
Total shots available to Mariana = 15 shots
Number of shots on goal = 12
So, her effectiveness = [tex]\frac{12}{15} \times 100[/tex]
= [tex]4 \times 20[/tex] = 80%
This shows that Mariana has a better performance as compared to Carla as 80% > 75%.
write 2, 330, 000 in scientific notation?
Answer:
2.33 × 10^6
Step-by-step explanation:
I just used a calculator, to be honest. It was super simple.
2.33 * 10^6
2.33 * (10*10*10*10*10*10)
which then equals 2,330,000
The sum of 8 & 10 as a algebraic expression
Answer:
8 + 10
Step-by-step explanation:
Step 1: Define sum
The sum of any 2 numbers means "add" or "combine" the 2 numbers together.
Step 2: Write out expression
"Sum" = add or +
8 + 10
13=-4k+9 someone solve pls
Answer:
k = - 1
Step-by-step explanation:
13 = -4k + 9
-4k + 9 = 13
subtract 9 from both sides
-4k + 9 - 9 = 13 - 9
simplify
-4k = 4
k = 4 / -4
k = - 1
( 60 POINTS FOR EVERYTHING )
Need some help on this INTEGERS Worksheet.
Not too difficult, but I don't have much time left.
( Use in this format v )
1.) ??
2.) ??
3.) ??
etc..
Answer:
11) -11
12) -12
13) 7
14) -60
15) -56
16) -378
17) -126
18) -4
19) -3
20) -12
Answer:
see below
Step-by-step explanation:
1. 75
2. -14
3. 91
4. 67
5. 24
6. 112
7. 91
8. 44
9. 15
10. -11
11. -11
12. -12
13. 7
14. -60
15. -56
16. -378
17. -126
18. -4
19. -3
20. -12
The 3rd and the 6th terms of an Arithmetic Progresion (A.P) are 16 and 34 respectively. Find the sum of the first 6 terms
Answer:
a(first term)=4
d(common difference)=6
sum of first 6 terms=114
The sum of the first 6 terms is given by 114
What is an Arithmetic progression?An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…
Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by 34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.
∴ The Arithmetic progression is given by:
4,10,16,22,28,34 . . . .
∴ The sum of the first 6 terms is 4+10+16+22+28+34=114
Hence, The sum of the first 6 terms is given by 114
Learn more about an Arithmetic progression here:
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i really need help again
Answer:
[tex]\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}[/tex]
Step-by-step explanation:
Answer:
a = Δv/Δt
Step-by-step explanation:
The definition of acceleration is helpful: the rate of change of velocity.
The average acceleration is the change in velocity over some time period, divided by the length of the time period.
Alonzo is planning to purchase roses for his mother on her birthday. He has seen them advertised at 12 roses for $15.00 and 20 roses for $23.00. Which is the better buy?Explain and show work below.
Answer:
20 roses at $23 is the better buy
Step-by-step explanation:
Here, we have Alonzo who wants to purchase Roses. He has two buying options.
Either he buys 12 roses at $15 or buys 20 roses at $23. We want to know which of the two options is better for him.
what we shall do here is to get the unit price per each of the roses in each set. The set having the lower rose to dollar value is the better buy.
Firstly, 12 roses for $15.
Price per rose here is 15/12 = $1.25 per rose
For 20 roses at $23
Price per rose here is 23/20 = $1.15 per rose
Since 1.15 is less than 1.25, then the second option is the better buy.
help-
question : complete each of the following based on the relationship between square and square root.
Answer:
root 49= 7^2
root 100= 10^2
root 144= 12^2
root 324= 18^2
root 441= 21^2
Step-by-step explanation:
Can somebody solve this?
9-3 divided by 1/3 +1
Answer:
Hey there!
GIVE THE OTHER PERSON BRAINLIEST, NOT ME.
Dividing by 1/3 is multiplying by 3.
9-3=6
6 times 3 = 18
18+1=19
Hope this helps :)
15)
What is the result of adding 17 to its opposite?
A)
-34
B)
0
C)
17
D)
34
Answer:
The Answer B.
. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answer:
[tex]Expression = x + 150 +(- 26)[/tex]
$124 higher
Step-by-step explanation:
Given
[tex]Deposit = \$150[/tex]
[tex]Withdrawal = \$26[/tex]
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
[tex]Balance = x + 150[/tex]
When he withdrew, the balance becomes
[tex]Balance = x + 150 + (-26)[/tex]
Hence, the algebraic expression is
[tex]Expression = x + 150 +(- 26)[/tex]
Calculating how much higher or lower
[tex]Balance = x + 150 + (-26)[/tex]
Open bracket
[tex]Balance = x + 150 -26[/tex]
[tex]Balance = x + 124[/tex]
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
[tex]Difference = x + 124 - x[/tex]
[tex]Difference = \$124[/tex]
Hence, the account has a higher of $124 after both transactions
What is the y-intercept of a line with a slope of 2/3 that passes through (-5,1)?
Answer:
(0,13/3)
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
We know the slope is 2/3 and a point on the line is (-5,1)
y = 2/3x +b
Substitute the point into the equation
1 = 2/3 (-5) +b
1 = -10/3 +b
3/3 = -10/3 +b
Add 10/3 to each side
10/3 = b
The equation is
y = 2/3 x+13/3
The y intercept is
(0,13/3)
Answer:
[tex](0,13/3)[/tex]
Step-by-step explanation:
Since we know the slope and a point, we can use the point-slope form.
Recall that the point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let m be 2/3 and let (-5,1) be x₁ and y₁. Therefore:
[tex]y-(1)=\frac{2}{3}(x-(-5))[/tex]
Simplify:
[tex]y-(1)=\frac{2}{3}(x+5)[/tex]
Distribute:
[tex]y-1=\frac{2}{3} x+\frac{10}{3}[/tex]
Add 1 to both sides. The left cancels. 1 is the same as 3/3:
[tex]y=\frac{2}{3} x+\frac{10}{3}+\frac{3}{3}\\[/tex]
Simplify:
[tex]y=\frac{2}{3}x+\frac{13}{3}[/tex]
This is in slope-intercept form. The coefficient is the slope and the y-intercept is the constant. Thus, the y-intercept is 13/3.
What is X plus seventeen equals three
Answer: -14
Step-by-step explanation: 3-17= -14
17+(-14)=3
Select all the lines below that are an asymptote to the rational function of f(x)= 2x+1/x-9. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answer:
Solution : Option A and Option C
Step-by-step explanation:
To determine our vertical asymptote here we can make the denominator of the rational function equivalent to zero ...
x - 9 = 0,
x = 9 - this is our vertical asymptote
Now there are three rules that we need to apply when determining the horizontal asymptote. To do so we take the degree of each " x " term and compare the numerator and denominator degree.
If the numerator (degree) < denominator (degree), we take the degree of the numerator as the asymptote --- (1). If the numerator (degree) = denominator (degree) we take the coefficient of the x terms, and divide --- (2). If the numerator (degree) > denominator (degree) their will be no asymptote.
In this case our degree for the numerator is 1, (x¹) and our degree for the denominator is the same, 1 (x¹). Therefore we divide the coefficients, 2 / 1 = 2. Our horizontal asymptote is y = 2.
Please ASAP Simplify: 8[20-( [9-5)]^2] *
Answer:
32
Step-by-step explanation:
hope you have an amazing day, friend!
Answer:
[tex]\Huge \boxed{32}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]8[20-( [9-5)]^2][/tex]
Evaluating according to PEMDAS:
[tex]\Rightarrow \ \ 8[20-( 4)^2][/tex]
[tex]\Rightarrow \ \ 8[20-16][/tex]
[tex]\Rightarrow \ \ 8[4][/tex]
[tex]\Rightarrow \ \ 32[/tex]
[tex]\rule[225]{225}{2}[/tex]
The amount of money, in dollars, John earns for each shift he works at the bookstore is equal to the function ƒ(h) = 10h, where h is the number of hours he works during his shift. Enter the value for ƒ(h), the amount of money he earns for his shift, and the value for h, the number of hours he works during his shift, for each notation in order to complete the table and show the relationship between ƒ(h) and h.
Answer:
Step-by-step explanation:
Amount of money earned by John for each shift he works at the bookstore is represented by the function,
f(h) = 10h
Where f(h) = Amount of money earned in dollars
h = number of hours worked by John
1). For h = 1 hour
f(1) = 10 × 1
= $10
2). For h = 2.5 hours
f(4.5) = 10 × 4.5
= $45
3). For h = 10 hours
f(10) = 10 × 10
= $100
A circular room has a floor of diameter 590cm. Estimate the 92.2 perimeter of the room in metres
Answer:
18.5 m
Step-by-step explanation:
The diameter in meters is 5.90, so the circumference of the room is ...
C = πd = 5.90π m ≈ 18.5 m
The perimeter of the room is about 18.5 m.
The middle note C has a frequency of 262 hertz and can be modeled using a sine function with an amplitude of 1.5, where x is time in seconds. Which function represents the vibrations of this note?
Answer: f(x) = 1.5*sin(x*2*pi/0.0038s)
Step-by-step explanation:
A sine function is:
f(x) = A*sin(c*x + f)
Where A is the amplitude, we know that it is 1.5
c is a constant that depends on the frequency.
f is a phase.
As there is no mention of a phase, we can assume f = 0.
Then our function is:
f(x) = 1.5*sin(c*x)
now let's find the value of c.
We know that the frequency is 262hz.
Then the period can be calculated with the equation:
T = 1/f.
T = 1/262 Hz = 0.0038 seconds.
Now, the period of a sin function is 2*pi.
whit pi = 3.14159265358979.....
Then we have that:
sin(0) = sin(c*0.0038s)
sin(0) = sin(2*pi)
then:
c*0.0038s = 2*pi
c = 2*pi/0.0038s
Then the function is:
f(x) = 1.5*sin(x* 2*pi/0.0038s)
According to the information given, the sine function is:
[tex]y = 1.5\sin{(524\pi x)}[/tex]
The standard sine function is given by:
[tex]y = A\sin{(2\pi fx)}[/tex]
In which:
A is the amplitude.f is the frequency, in Hz.In this problem:
Amplitude of 1.5, hence [tex]A = 1.5[/tex]Frequency of 262 Hz, hence [tex]f = 262[/tex]Then, the equation is:
[tex]y = A\sin{(2\pi fx)}[/tex]
[tex]y = 1.5\sin{(2\pi (262)x)}[/tex]
[tex]y = 1.5\sin{(524\pi x)}[/tex]
A similar problem, which also involves building a sine function according to the desired characteristics, is given at https://brainly.com/question/18055768
One country has 12 stone bridges and 20 steel bridges. What is the ratio of ? A. Stone bridges to steel bridges. B. Steel bridges to stone bridges. C total bridges to steel bridges.
Answer:
A. Stone bridges to steel bridges=
12 : 20
6 : 10
3 : 5
answer = 3 : 5
B. Steel bridges to Stone bridges
20 : 12
10 : 6
5 : 3
answer = 5 : 3
Total bridges = 20+12=32
C. Total bridges to steel bridges
32 : 20
16 : 10
8 : 5
answer = 8 : 5
Answer:
A (Stone to Steel bridges)= 3:5
B (Steel to Stone bridges)= 5:3
C (Total bridges to steel bridges)= 8:5
Step-by-step explanation:
A: Stone to steel bridges is
12:20
You can simplify that by dividing by 4 on both numbers:
3:5
So the ratio of stone to steel bridges is 3:5
B: Steel to stone bridges is
20:12
You can simplify that by dividing by 4 on both numbers:
5:3
So the ratio of stone to steel bridges is 5:3
C: Total bridges to steel bridges is
What is the total number of bridges?
20+12=32
32:20
You can simplify that by dividing 4 on both numbers:
8:5
So the ratio of the total number of bridges to steel bridges is 8:5
Hope this helps!
If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
Please show all work and not just the answers.
Answer:
49, 49 , 98
Step-by-step explanation:
AC = AB + BC = 2AB
3x - 31 = 2(x+6)3x - 31 = 2x + 123x - 2x = 12 +31x = 43AB= BC = x + 6 = 43 + 6 = 49
AC = 2AB = 2* 49 = 98
Aunt Barb's Salad Dressing requires 1/3 cup olive oil and 1/6 cup balsamic vinegar. How much dressing does this recipe make?
Answer:
1/2 cup of dressing
Step-by-step explanation:
To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.
1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup
Answer:
1/2 cup
Step-by-step explanation:
Simplify the following:
1/3 + 1/6
Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.
Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:
2/6 + 1/6
Hint: | Add the fractions over a common denominator to a single fraction.
2/6 + 1/6 = (2 + 1)/6:
(2 + 1)/6
Hint: | Evaluate 2 + 1.
2 + 1 = 3:
3/6
Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.
The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:
Answer: 1/2
The diagram represents two statements: p and q.
Which represents region B?
BE
Opva
Op + 9
Оq Ap
A
B
9 - P
Answer:
the third one
Step-by-step explanation:
B = p ∩ q
B is the common part of p and q
The p v q represents region B.
Option A is the correct answer.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
From the Venn diagram,
We see that,
Region B is the intersection between regions p and q.
Now,
The intersection s denoted by V.
So,
B = p V q
Thus,
The p v q represents region B.
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