A sum of Rs. 500 is in the form of denominations of Rs. 10 and Rs. 20. If total number of notes are 35, find the number of notes of each denomination.​

The value of x and y in the rhombus are 5 and 25 respectively.

The sum of angles of a rhombus is 360 degrees. The opposite angles of a rhombus is equal.

Therefore,

11x = 55

x = 55 / 11

x = 5

Therefore,

5y + 5y + 55 + 55 = 360

10y + 110 = 360

10y = 360 - 110

10y = 250

y = 250 / 10

y = 25

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The best accuracy for the transformation is; Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.

In a translation transformation, all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the object remain the same.

In this question, the points on triangle A are: (-1, 0), (-2, 4) and (-1, 4).

Marcus' translation is as follows:

The points are the same of triangle B, hence the statement is accurate. According to the order of the translations, the second statement is correct.

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Answer: 1

Step-by-step explanation:

To find slope: (y1-y2)/(x1-x2)

y1 = -4

y2=-6

x1 = -5

x2 = -7

-4 --6 = -4 + 6 = 2

-5--7 = -5+7 = 2

2/2 = 1

so, the slope is 1

The possible variable terms are a^5b^3, b^8, a^4b^4, a^8, ab^7

The expression is given as:

(2a + 3b)^8

The power of the above expression is 8

When expanded, the sum of powers on each variable must be 8.

Using the above explanation, we have the following possible variable terms:

a^5b^3, b^8, a^4b^4, a^8, ab^7

This is because the sum of powers equals 8

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Answer:

In [tex]$(a+b)^{2}$[/tex] is obtained by addition therefore result is trinomial while in (a-b)(a + b) the middle terms are canceled out of each other therefore result is binomial.

Step-by-step explanation:

Explanation

The 6th term of the sequence is 4

The given parameters are:

a1 = -4096

a4 = 64

The nth term of the sequence is:

a(n) = a1 * r^(n-1)

So, we have:

a4 = a1 * r^3

This gives

r^3 = a4/a1

Substitute the known values

r^3 = 64/-4096

Evaluate

r^3 = -1/64

Take the cube roots

r = -1/4

The 6th term is

a(6) =a1 * r^5

This gives

a(6) = -4096 * (-1/4)^5

Evaluate

a(6) = 4

Hence, the 6th term of the sequence is 4

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Answer:

Step-by-step explanation:

c = b·sin(C)

c= 10Sin(45

c=7.071

So the side length opposite to the 45 degree angle is 7.071 :)

https://www.calculator.net/triangle-calculator.html

^this website is perfect for questions like these^

Good luck with the rest of your work!

Empirical probabilities is the name given to the probabilities that are based on short-run relative frequency.

Long-run relative frequency probabilities are called theoretical probabilities, whereas short-run relative frequency probabilities are called empirical or experimental probabilities.

Thus, Empirical probabilities is the name given to the probabilities that are based on short-run relative frequency.

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Answer:

88.08 m tall

Step-by-step explanation:

Pole:

tall/long
3/1.72

Building:

tall/long

x/50.5

Solve for x:

3/1.72 = x/50.5

1.72x = 151.5

x ≈ 88.08

Any sample proportion that is more than 1.96 standard errors from the population proportion will result in a confidence interval that includes p.

In frequentist records, a confidence interval is more than a few estimates for an unknown parameter. A self-belief interval is computed at a chosen self-belief stage; the ninety-five% self-assurance stage is maximum commonplace, however other tiers, which include ninety% or ninety-nine%, are now and again used.

The confidence stage is the share of instances you expect to get near the identical estimate if you run your test again or resample the populace in an identical manner.

The confidence c programming language includes the higher and lower bounds of the estimate you anticipate locating at a given stage of confidence.

As an instance, in case you are estimating a 95% self-belief c language around the mean share of lady toddlers born every 12 months primarily based on a random sample of babies, you may find a top certain of zero.56 and a decrease certain of zero.48. those are the top and decrease bounds of the self-belief c programming language. The self-assurance level is 95%.

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Since the sum of both angles <ORQ and <SRQ is 180 degrees, hence the two angles that are supplementary are <ORQ and <SRQ

Supplementary angles are angles that sums up to 180 degrees..

Since the line SR bisects the line OQ, hence the angle <ORQ and <SRQ are equal and equal to 90 degrees each,

Since the sum of both angles <ORQ and <SRQ is 180 degrees, hence the two angles that are supplementary are <ORQ and <SRQ

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The area of ​​the inner square to the area of ​​the outer square ratio is:  [tex]\frac{(a-b)^2+b^2}{a^2}[/tex]

Given a figure in which an inner square is inscribed inside the outer square.

The area of ​​a square is the product of the two sides of the square. Also known as side square.

Firstly, we will find the side of the inner square by finding the distance between the points (0,b) and (a-b,0)

S₁=√(a-b-0)²+(b-0)²

S₁=√(a-b)²+b²

Now, we will find the area of the inner square, we get

The area of the inner square=(side)²

A₁=(S₁)²

A₁=(√(a-b)²+b²)²

A₁=(a-b)²+b²square cm.

Further, we will find the side of the outer square by finding the distance between the points (0,0) and (a,0).

S₂=√(a-0)²+0²

S₂=√a²

S₂=a

Furthermore, we will find the area of the outer square, we get

The area of the outer square=(side)²

A₂=(S₂)²

A₂=a² square cm.

Hence, the area of the inner square to the area of the outer square ratio is [tex]\frac{(a-b)^2+b^2}{a^2}[/tex].

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The value of x for the inequality 3x+3-x+ (-7) > 6 is x > 5. This a can be obtained by solving the linear inequality by taking terms with x to one side of the inequality similar to solving of linear equation.

Given that  

         3x + 3 - x + (-7) > 6

         3x - x > 6 + 7 - 3

         2x > 10

          x > 5

Hence the value of x for the inequality 3x+3-x+ (-7) > 6 is x > 5. The correct option is c.

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There are 104 cars in the parking lot.

According to statement there are between 90 and 115 cars on the lot.

So, {X| 90 < x < 115} (This renders an infinite solution set finite)

AND exactly one eight of them have a sticker on the back, so the total number of cars must be evenly divisible by eight.

X ∈ {96, 104, 112,}

AND exactly one fourth of the cars are green, so the number of cars must be evenly divisible by 4. Here all above written numbers are divisible by 4. So, find the mean to calculate the number of cars in the parking lot.

x = (96+104+112)/3

x = 104

There are 104 cars in the parking lot.

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The distance can be expressed in equation d=5.3*[tex]10^{-4}m[/tex].

Given voltage of 96.6 V and electric field strength of 1.8 KV/cm.

We know that d=V/E

We have to find the distance in equation form.

We know that  electric field strength between the plates of a parallel plate capacitor is

E=V/d

Distance is the measurement between two sides or points.

where E=electric field strength

V=potential difference

d=distance between the plates

In equation form distance looks like:

d=V/E

from the question we are that V=96.6 V

E=1.8KV/cm.

Converting to V/m

E=180000V/m

d=96.6/180000

=0.00053

d=5.3*[tex]10^{-4}m[/tex].

Hence the distance can be expressed as d=[tex]5.3*10^{-4} m[/tex].

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Answer:

1) x=1; x= 0 is an extraneous solution

Step-by-step explanation:

5 = 4x + 1

5 = 4 x 1 + 1

5 = 5

x = 1

______________________

x x^2

0 x 0^2

0 x 0 = 0

x = 0

:)

Answer:

True

Step-by-step explanation:

That is the distance formula.

Answer:

FALSE

Step-by-step explanation:

Distance Formula: [tex]\sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2}[/tex]

Hello,

Answer:

12⁰ = 1

Step-by-step explanation:

We have any number with exponent 0 = 1  

(a⁰) = 1

After converting the Units, we get 69,286,455 cu inches as the answer

Converting yards into inches, we get:

1 cu yard = 46656 cu inches

11 cu yard = y cu inches

Cross-multiplying, we get:

y = 11 x 46656

y = 513216 cu inches

Now, total inches would be = 513216 + 17 = 513233 cu inches

Multiplying total inches by 135, we get:

513233 x 135 = 69,286,455 cu inches

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The store charged $24 for each pair of socks as the selling price.

Profit is the financial gain that is earned by a business or an individual after deducting all expenses from revenue. In other words, it is the amount of money that remains after all costs of producing and selling a product or service have been subtracted from the total revenue earned.

Revenue refers to the total amount of income earned by a business or an individual from the sale of goods or services during a specific period of time. It is the total amount of money that a business receives from its customers in exchange for its products or services.

In the given question,

Let's start by calculating the total revenue from the sale of 25 pairs of socks

Since the profit is 25% of the revenue, we can set up the equation:

Profit = 0.25 * Revenue

$150 = 0.25 * Revenue

Revenue = $150 / 0.25

Revenue = $600

The total revenue from selling 25 pairs of socks is $600.

To find the price per pair of socks, we can divide the revenue by the number of pairs:

Price per pair = Revenue / Number of pairs

Price per pair = $600 / 25

Price per pair = $24

Therefore, the store charged $24 for each pair of socks.

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The value of U and V will be (x – 3) and 8y, respectively. Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

⇒ (U + V)(U – V)

Where U and V are either constant or single variable expression.

Then the expression will be

⇒ U² – V²

Then the value of U and V will be (x – 3) and 8y, respectively.

Then the correct option is A.

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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A measure of the strength of the relationship between two variables is referred to as the correlation coefficient.

To gauge the strength of the linear link between two variables, correlation coefficients are used.

A value of correlation coefficient less than zero denotes a negative association, while a value greater than zero denotes a positive relationship.

A zero correlation coefficient means there is no correlation between the two variables under comparison.

A crucial idea in building diversified portfolios that may better resist portfolio volatility is the concept of a negative correlation, often known as an inverse correlation.

Since calculating the correlation coefficient takes time, it is frequently done by entering data into a calculator, computer, or statistics application.

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Step-by-step explanation:

so in this case

x-4

y-2

z-5

average=x+y+z/no of values

= 4+5+2/3

=11/3

=3.6

Answer:

Step-by-step explanation:

What is 3*(4x-2x)*5+3*2 simplified?

3*(4x-2x)*5+3*2=

3*2x*5+6 =

6x*5+6=

30x+6

Answer:

x=70, y=40, z=70

Step-by-step explanation:

So whenever you have a straight line, the angle is going to be 180 degrees, and whenever you have multiple angles that make up one angle, the sum of the multiples angles is going to be the angle of the one angle.

So let's look at x. The 180 degree angle consists of 110 degrees and x, the sum of these two should add up to 180 degrees, you can set up an algebraic equation to solve for x, but you can also do some simple mental math to see that x=70, so that 110+70=180. You do the same thing for the other angles

For y, you simply need to know 140+y = 180 so y=40

For z there is two methods, you can use the fact that opposite angles are congruent, or you can use the fact that the sum of the interior angles of a triangle is 180 degrees. This means that x+y+z=180 and since we know that x=70 and y=40 then 70+40=z so 110+z=180 so z=70, which is also the same as the opposite angle, you could use either method although knowing that opposite angles are congruent is much more easier. It's called the vertical angles theorem.

By factorizing, we have

[tex]x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0[/tex]

so that

[tex]x - y = 0 \implies \boxed{y = x}[/tex]

or

[tex]x + 6y = 0 \implies \boxed{y = -\dfrac x6}[/tex]

Answer:

128 3 digit number which are divisible by 7

Answer:

128

Step-by-step explanation:

I just looked it up because the only way I know would take a lot of time.

Know the times table?

You can make a chart that starts from 100 to 999 and circle every single number you know can be divided by 7. That's 128 numbers.

I hope the answer helps, but I hope someone can actually find a formula or something for you to use. Best of luck.