Answer:
94697330
Ur welcome
Step-by-step explanation:
Answer:
94,697,330
Explanation:
[tex]1235 x 76678 = 94697330[/tex]
que expresision algebraica es P (x)=3x - 5x +6?
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
Derek has a bank account that pays 4.1% simple interest. He deposits $910 and leaves it in for 2.5 years. How much interest does he earn.
Answer:
After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Step-by-step explanation:
Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:
(910 x 0.041) x 2.5 = X
37.31 x 2.5 = X
93.275 = X
Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
Learn more about the Logarithm here:
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Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Will mark first and correct answer brainliest:)
Answer:
x=19
Step-by-step explanation:
add together (8x-7) and (x+16) and set them equal to 180 because they are supplementary
and solve for x using your new equation
The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
Hal leans a ladder that is 26 feet long against the side of a building. The base of the ladder is 10 feet from the side of the building.
How high up the side of the building is the top of the ladder?
A 24 feet
B 22 feet
C 28 feet
D 16 feet
Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
Please help ..........
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
Select all the expressions that are equivalent to 12n + 8.
A. 3n + 4 + 3 + 4 + 4n
B. 11n - 4 + 0 + 12
C. 6(6n + 2)
. D. 4(3n+2)
E. 4n + 12-23 + 8n
Answer:
D and B and E
Someone please help me
Can someone please help me on this
find the square root of 14+6√5
Answer:
3 + √5
Step-by-step explanation:
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
14 + 6√5 = x + y + 2√xy
14 + 2√45 = ( x + y) + 2√xy
2️⃣ Compare.
(x + y) = 14
xy = 45
3️⃣ Solve.
(x - y)² = (x+y)² - 4xy
( x - y)² = 14² - 180
( x - y)² = 196 - 180
( x - y)² = 16
( x - y) = 4
x + y = 14
x - y = 4
2x = 18
x = 9 .
y = 5 .
14 + 6√5 = √9 + √5 = 3 + √5 .
Answer: 3 + √5 .
Done ✔
If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
kilometers, where x is measured in minutes, which of the following is an
accurate interpretation of the student's trip?
a) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, continues walking to the playground, turns around, walks
back to the school and arrives after 3 minutes.
b) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, waits there for 1 minute, then returns home.
c) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, turns back to their house to the playground, turns around,
walks back to the school and arrives after 3 minutes.
d) The student starts 6 km from school, walks to school and arrives 1 minute
later, sits by the school, returns home, arrives after 2 minutes, and then turns
around and arrives back at school for a second time at 3 minutes.
e) None of the above are correct
It
Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):
Given that:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
First, we calculate how far the student traveled to arrive at the school.
This means that we calculate f(0).
So, we have:
[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]
[tex]f(0) = ( 1)( - 2)( - 3)[/tex]
[tex]f(0) = 6[/tex]
The student walked 6km to school
When x = 2, it means:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]
This means that the student got to school after 2 minutes
When x = 3, it means
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]
This means that the student walked away, turned back and got to school after 3 minutes.
From the given options, option (a) fits the above description.
Read more about speed, displacement and time at:
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What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.
Answer:
x11
Step-by-step explanation:
mega brain IQ
The relationship between the quantities x and y is option B. The relationship between quantities is ×11.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given values of x are 1, 2, 3 and 4.
Given values of y are 11, 22, 33 and 44.
We have to find the relationship between x and y.
Let y = f(x).
f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44
Clearly we can see that,
f(x) = 11x, which is a direct variation.
When x = 1, f(1) = 1 × 11 = 11
When x = 2, f(2) = 2 × 11 = 22
When x = 3, f(3) = 3 × 11 = 33
When x = 4, f(4) = 4 × 11 = 44
So the relationship is y = x × 11
Hence the relationship between quantities is ×11.
Learn more about Direct Relationships here :
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Your question is incomplete. The complete question is as given below.
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is –30.
The relationship between quantities is +20.
At Central Theatre, the cost of a matinee movie is under $5.50. The cost of a
popcorn is exactly $2.25. Write an inequality for the possible total cost, c, of a
movie and popcorn. Show your work.
Answer:
5.50 + 2.25 ≥ c
Step-by-step explanation
Movie = 5.50
Popcorn = 2.25
C = The total cost
5.50 + 2.25 = C
Multiply. Write your answer in simplest form.
7 x 3/4
Answer:
5.25
Step-by-step explanation:
7x3 = 21
21/4 = 5.25
Answer:
5 1/4
Step-by-step explanation:
PLEASE HURRY<33
Graph the following piecewise function. f(x)={x^2+2 if -5
The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..
Step-by-step explanation: you are using y for the piecewise function.
State whether each pair of expressions are equivalent. Show your work.
4(5 + g) + 8(4g + 3 i NEED HELP
Answer:
36g + 44
Step-by-step explanation
20+4g+8(4g+3) =
8(4g+3) : 32g + 24 =
20+4g+32g+24 =
20+4g+32g+24 = 36g + 44
I hope this helps you! Have a great day :)
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 150 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Answer:
156.7
Step-by-step explanation:
Please quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
Please need help thank
Answer:
7
Step-by-step explanation:
If each amount of time is a separate person, then 7
What is 7.456283 rounded to the nearest hundred thousandths place?
The answer will be 7.45628
I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty
Answer this correctly I’ll give brainalist + 10 points
what is the amount returned on a deposit of $1,000 held for 2 years at 10% interest compound annually?
Answer:
since its 10%percent annualy(compound interest),at the end of 1year it would be 1000+(1/10 *1000)that is 1100,then for the second year it would be 1100+(1/10 * 1100)that is 1210.please mark me as brainliest
Find the sum or difference. Write your answer in simplest form
3/8 + 1/4
Answer:
5/8
Step-by-step explanation:
5/8 which is in simplest form
Answer:
5/8
Step-by-step explanation:
3/8+1/4 = 3/8+2/8 = 5/8