Let n be a natural number such that the remainder of the division of 4294 by n is 10, and the remainder of the division of 3521 by n is 11. what is n?

Answers

Answer 1

4294 - 10 = 4284 and 3521 - 11 = 3510. The common factors of 4284 and 3510 are 18, 9, 6, 3, and 2. The problems that work are 18 because only with 18 do the remainders work out. Therefore n = 18

Related Questions

Find the z-score such that: (a) the area under the standard normal curve to its left is 0.5

Answers

This question out to be one that we could all answer almost instantly. If the area under the std. norm. curve to the left of z is 0.5 (exactly half of that area), the z value is zero (0).

(08.02)Which of the following graphs best represents the solution to the pair of equations below? y = x + 1
y = −x − 1

Answers

The graph of the two equations is "A coordinate plane is shown with two lines graphed.

The red line is represented by y = x + 1.

The blue line is represented by y = -x - 1.

The solution should be the coordinate (-1, 0).

What was png company's current ratio for the year 20x1? 7.74 3.32 2.66 2.47?

Answers

From the comparative balance sheet, the total current asset is $271,100 and the total current liabilities is $81,600.

The current ratio is given by total current asset divided by the total current liabilities.

Therefore, The current ratio is given by

[tex] \frac{\$271,100}{\$81,600} =3.32[/tex]

at 80km/h how many seconds does it take to travel 1km

Answers

3,600/80 = 45 seconds to travel 1 km

A car rental agency currently has 44 cars available, 28 of which have a gps navigation system. one of the 44 cars is selected randomly. find the probability that this car

Answers

propability of pick car randomly is 1/44

The average time a boulder high varsity lacrosse player plays in a game is 27 minutes with a standard deviation of 6 minutes. nolan's playing time in last week's game against fairview was 50 minutes. (a) calculate the z-score for nolan's playing time against fairview. (round your answer to 2 decimal places.)

Answers

Given:
μ = 27 minutes, the mean value
σ = 6 minutes, the standard deviation
The random variable is x = 50 minutes.

Part (a)
The z-score is
z = (x - μ)/σ
= (50 - 27)/6
= 3.83

Answer: 3.83

To what place vaule is the number rounded 5.319 to 5.3

Answers

It is rounded to the tenths. Plz 5 star and give brainliest answer and give thx

Tenths because it is one place value after the decimal

1 point) use the inner product ⟨f,g⟩=∫10f(x)g(x)dx ⟨f,g⟩=∫01f(x)g(x)dx in the vector space c0[0,1]c0[0,1] of continuous functions on the domain [0,1][0,1] to find ⟨f,g⟩⟨f,g⟩, ‖f‖‖f‖, ‖g‖‖g‖, and the angle αf,gαf,g between f(x)f(x) and g(x)g(x) for f(x)=10x2−3 and g(x)=6x−9.

Answers

[tex]f(x)=10x^2-3[/tex]
[tex]g(x)=6x-9[/tex]

[tex]\langle f,g\rangle=\displaystyle\int_0^1(10x^2-3)(6x-9)\,\mathrm dx=3[/tex]

[tex]\|f\|=\sqrt{\langle f,f\rangle}=\sqrt9=3[/tex]

[tex]\|g\|=\sqrt{\langle g,g\rangle}=\sqrt{39}[/tex]

[tex]\cos\alpha=\dfrac{\langle f,g\rangle}{\|f\|\|g\|}=\dfrac3{9\sqrt39}=\dfrac1{3\sqrt{39}}\implies \alpha=\cos^{-1}\dfrac1{3\sqrt{39}}[/tex]

Final answer:

The norms and the inner product of f and g can be calculated using the given inner product definition and the knowledge that the norm of a vector (here, function) is the square root of its inner product with itself. Then, the cosine of the angle between f and g can be found by dividing their inner product by the product of their norms.

Explanation:

The problem is asking us to compute certain components in the context of a vector space of continuous functions, namely inner product ⟨f,g⟩, norms ‖f‖, ‖g‖, and angle between them for f(x) and g(x). Since the functions are given as f(x)=10x^2-3 and g(x)=6x-9, these can be used in the provided inner product definition ⟨f,g⟩=∫from 0 to 1f(x)g(x)dx.

The norm of a vector, in this case, the function f or g, is the square root of the inner product of the function with itself. The cosine of the angle α between the functions f and g is given by the ratio of the inner product of f and g to the product of their norms.

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What is the value of mc014-1.jpg?
–6
–2
14
22

the pic is the .jpg

Answers

the answer is 14 hope it helps:)

Answer:

Option (3) is correct.

The value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex] is 14.

Thus, option (3) is correct.

Step-by-step explanation:

Consider the given expression in the image given,

[tex]\frac{-3(7+5)}{3^2}+9(2)[/tex]

First solve for square term in the denominator,

[tex]3^2=3 \times 3 = 9[/tex]

Expression becomes,

[tex]\frac{-3(7+5)}{9}+9(2)[/tex]

Now solve for numerator,

7 +5 = 12 and -3(12) = -36

Expression becomes,

[tex]\Rightarrow \frac{-36}{9}+9(2)[/tex]

[tex]\Rightarrow -4+9(2)[/tex]

[tex]\Rightarrow -4+18[/tex]

[tex]\Rightarrow 14[/tex]

Thus the value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex] is 14.

Thus, option (3) is correct.

Select all the solutions for the quadratic equation x2=81 . Answer Choices x=9 x=81 x=−9 x=−81

Answers

x²=81, so x=9 or x=-9

an electrician cuts a 136-ft piece of cable. one piece is 16 feet less than 3 times the length of the other piece. Find the length of each piece.

Answers

1st piece = x

2nd piece = 3x-16

x +3x-16 = 136

4x-16 = 136

4x = 152

x = 152/4 = 38

1st piece = 38 feet

2nd piece = 136 -38 = 98 feet

193+y greater that are equal to 201 what is y

Answers

193 + y = 201

193 (-193) + y = 201 (-193)

y = 8

since you want equal to and greater

your answer is y ≥ 8

hope this helps

How can you decompose the composite figure to determine its area?

Answers

answer is the last one (D)
semicircle, trapezoid, and 2 rectangles.

Answer:

D. As a semicircle, a trapezoid and two rectangles.

Step-by-step explanation:

Please find the attachment.

We have been given a composite figure. We are asked to decompose our given figure to determine its area.

Upon looking at attachment for our given composite figure, we can see that it consists one semicircle on top, one trapezoid in middle and two rectangles on bottom. So we can decompose our composite figure as a semicircle, a trapezoid and two rectangles.

Therefore, option D is the correct choice.

what factor makes the number sentence true 7x4= ( ) x7

Answers

7x4= (2+2) x7. Your welcome.

7 times 4 is the same as 4 times 7. So the correct missing factor is 4.

We see that the order in which 7 and 4 are multiplied is immaterial. This is the "commutative property of multiplication."

Can anyone figure this out for me please? It would be greatly appreciated.

Answers

check the picture below.

now, to get how much is the area of the tiled section, we simply get the area of the whole pool, 53x26, which includes the tiles, and then subtract the area without the tile, the rectangle in the middle, and what's leftover, is the area of the tiled area.

[tex]\bf 53-4\frac{1}{2}-4\frac{1}{2}\implies 53-9\implies \boxed{42} \\\\\\ 26-4\frac{1}{2}-4\frac{1}{2}\implies 26-9\implies \boxed{17} \\\\\\ \textit{so the area of the rectangle in the middle is}\implies 42\cdot 17\implies 714 \\\\\\ \textit{and the area of the whole pool is}\implies 53\cdot 26\implies 1378[/tex]

[tex]\bf \stackrel{\textit{area of the whole pool}}{1378}~~-~~\stackrel{\textit{area of the middle rectangle}}{714}\implies \stackrel{\textit{area of the tiles}}{664}\\\\ -------------------------------\\\\ \textit{we know that is }\$5\frac{1}{2}\textit{ for a foot of tile, then}\stackrel{\textit{price of the tiles}}{664\cdot 5\frac{1}{2}}\implies 3652[/tex]

What is M-1/6-4m+5/6 simplified

Answers

-2 • (9m - 2)/6 is the final answer.

The simplified expression is -3M + 1

How did we get the value?

To simplify the expression M - (1/6) - 4M + (5/6), we can combine the like terms.

First, let's combine the terms with M:

M - 4M = -3M

Now, let's combine the constant terms:

(1/6) + (5/6) = (1 + 5)/6 = 6/6 = 1

Putting it all together, the simplified expression is:

-3M + 1

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HURRY!!!!!! What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Answers

4y= -3x+15

y= (-3/4)x+15/4

y+2= (-3/4)(x-8)

y+2= (-3/4)x+6

y= (-3/4)x+4

If it is known that a+b/a-b=c, find the following: 2a-2b/5a+5b

Answers

Final answer:

The value of (2a - 2b)/(5a + 5b) can be simplified to c.

Explanation:

To find the value of (2a - 2b)/(5a + 5b) when the equation (a + b)/(a - b) = c is given, we can substitute the value of (a + b)/(a - b) with c. Rearranging the equation, we get:

(2a - 2b)/(5a + 5b) = c

Simplifying the expression, we have:

(2(a - b))/(5(a + b)) = c

So, the value of (2a - 2b)/(5a + 5b) is c.

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Not sure how to start working this one out?

Answers

he ended with 16

he earned 6 for mowing the lawn, so before mowing the lawn he had 16-6 =10

he spent half on pizza and had 10 left so allowance = 10*2 = 20

he gets $20 a week for allowance

The sum of the reciprocals of two consecutive integers is -9/20. Find the two integers

Answers

suppose the first integer is x, the second one is then x+1
reciprocals are 1/x and 1/(x+1)
1/x +1/(x+1)=-9/20
make the denominators the same:
1(x+1)/x(x+1) + 1x/x(x+1)=-9/20
simplify the demonstrator and add up the numerators: (2x+1)/(x^2+x)=-9/20
20(2x+1)=-9(x^2+x)
40x+20=-9x^2-9x
9x^2 +49x+20=0
factor: (1+5)(9x+4)=0
x=-5 or x=-4/9 (this one doesn't work because it is not an integer)
so the first integer is -5, the second integer is -4

A rectangle has side lengths of (3x+6) inches and (2x-4) inches. Write an expression to represent the perimeter of the rectangle. Then find the value of x if the perimeter is 94 inches.

Answers

If I understand the problem correctly, here's the answer:
2 (3x+6) + 2 (2x+4)=94
6x+12+4x+8=94
10x+20=94
10x=74
X=74/10
X=37/5

Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

x=9

So the value of x would be 9.

which of the following represents the factorization of the trinomal below

Answers

The answer is: [B]: " (x - 6)(x - 8) " .
____________________________________________________

a4 + b4 + c4 + d4 = (a + b + c + d)4 where variables a, b, c and d can be any positive integer, negative integer or zero.
This is one of the hardest math questions ever worth 100 points and brainliest!!!

Answers

There are infinitely many solutions if [tex]a,b,c,d[/tex] can be any integers.

You can set [tex]b=c=d=0[/tex] and you're left with [tex]a^4=a^4[/tex], true for all values of [tex]a\in\mathbb Z[/tex].

Unless you have some other restrictions or conditions to satisfy, this is all you can say about the solution set...

Hi there!

This set you have given is not a definitive set, therefore there is not definitive answer that can be given. It is a indefinite set, which means that any set of integers can be put in as a solution to this set. Unless there are defining quantifiers then the set and solution are both infinite.

Your friend, ASIAX

In a recent year 33.2% of all registered doctors are female. If there were 56,400 female register doctors that year, what was the total number of registered doctors?

Answers

56400 ÷ 0.332
169879 total people

Hope this helps!

which fraction is greater than 1/2 and less than 3/4

Answers

A fraction that is greater then 1/2 but less then 3/4 is 5/8.

Final answer:

The fraction that is greater than 1/2 and less than 3/4 is 2/3. This is demonstrated by placing these fractions on a number line, where 2/3 falls between 1/2 and 3/4.

Explanation:

The question is asking for a fraction that is both greater than 1/2 (or 0.5) and less than 3/4 (or 0.75). To find such fraction, we can consider fractions between these two numbers. A possible solution is 2/3 (or approximately 0.67) which is truly greater than 1/2 and less than 3/4.

Now, let's explain this visually. If you translate these fractions on a number line, 1/2 would be at the middle of the line, 3/4 would be three quarters way forward and 2/3 would be somewhere in the middle of these two fractions.

Consider the representation on a number line, 0 -> 1/2 -> 2/3 -> 3/4 -> 1. We see that 2/3 does fall in between 1/2 and 3/4.

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Emily buys 240 square feet of Carpet. She can convert square feet to square yards by dividing the number of square feet by 9. How many square yards of carpet did emily buy?

Answers

She bough 240/9 yards of carpet (26.66667).

The answer is 26.6666667 because if u keep going there will be no end so add a 7 because that’s the next number after 6.

. A square picture frame occupies an area of 112 ft2 . What is the length of each side of the picture in simplified radical form? Show your work.

Answers

recall that a square is just a rectangle with all sides equal.

and the area of a rectangle is just length * width.

[tex]\bf \textit{area of a rectangle}\\\\ A=length\cdot width\quad \begin{cases} length=x\\ width=x\\ A=112 \end{cases}\implies 112=x\cdot x\implies 112=x^2 \\\\\\ \sqrt{112}=x\implies \sqrt{16\cdot 7}=x\implies \sqrt{4^2\cdot 7}=x\implies 4\sqrt{7}=x[/tex]

you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation. 2x − 3y = −29 x + 4y = 13

Answers

x + 4y = 13
x = -4y + 13....now we sub this into the first equation

2x - 3y = -29
2(-4y + 13) - 3y = -29 <=====
-8y + 26 - 3y = -29
-11y + 26 = -29
-11y = -29 - 26
-11y = -55
y = 55/11
y = 5

x = -4y + 13
x = -4(5) + 13
x = -20 + 13
x = -7

Using the substitution method, the solution to the system of linear equations is: x = -7 and y = 5.

What is the Substitution Method?

The substitution method used in solving a system of linear equations involves substituting a variable for an expression into the other equation given.

Given the system:

2x − 3y = −29 - eqn. 1

x + 4y = 13 - eqn. 2

Rewrite eqn. 2

x = 13 - 4y

Substitute x = 13 - 4y into eqn. 1

2(13 - 4y) − 3y = −29

26 - 8y - 3y = -29

-11y = -29 - 26

-11y = -55

y = 5

Plug in the value of y into x = 13 - 4y:

x = 13 - 4(5)

x = -7

The solution is: x = -7 and y = 5

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Carrie buys 4.16 pounds of apples for 5.20 how much does 1 pound cost

Answers

4.16 / 5.20 = 1 / x.....4.16 lbs to $ 5.20 = 1 lb to $x
cross multiply because this is a proportion
(4.16)(x) = (5.20)(1)
4.16x = 5.20
x = 5.20 / 4.16
x = 1.25 per lb <==

What is the percent increase of 36 and 63

Answers

well, 63 - 36 is 27.

so, if we take 36 to be the 100%, what is 27 in percentage off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 36&100\\ 27&p \end{array}\implies \cfrac{36}{27}=\cfrac{100}{p}\implies p=\cfrac{27\cdot 100}{36}[/tex]

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