find the equation of the line shown

The number of different 4-digit PIN codes if each of those digits is only allowed to be used once is 840

The digits are given as:

2, 3, 4, 6, 7, 8 and 9

There are 7 digits represented in the above list

If each of those digits is only allowed to be used once, then we have the following possibilities

First character: Any of the 7 digits

Second character: Any of the remaining 6 digits

Third character: Any of the remaining 5 digits

Fourth character: Any of the remaining 4 digits

The number of 4-digit PIN codes is

Number = 7 * 6 * 5 * 4

Evaluate

Number = 840

Hence, the number of different 4-digit PIN codes if each of those digits is only allowed to be used once is 840

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4.313

Step-by-step explanation:

A group of products are averaged to determine central tendency using the geometric mean. The geometric mean of 8 and 36 is 6√8.

The geometric mean in mathematics is a mean or average that, by using the product of the values of the numbers, shows the center tendency or usual value of a set of numbers.

The geometric mean, sometimes known as the compounded annual growth rate, is a tool used in finance to determine average growth rates.

The Geometric Mean (GM) is the average value or mean that reveals the central tendency of a group of numbers by adding up the values of those numbers.

Formula to calculate G.M is

x = √(a × b)

Where, a = 8 and b = 36

x = √(8 × 36)

x = 6√8

Therefore, the value of x = 6√8.

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Answer:

1.381796

2.87258

3.69047

4.774225

Step-by-step explanation:

Align the numbers as an ordinary subtraction problem. Write the larger number above the smaller number. If the smaller number has fewer digits, line them up on the right, as you would in a decimal (base ten) subtraction problem.

Answer:

682,548 - 300,752 = 381,796

92,730 - 5,472 = 87,258

47,569 + 21,478 = 69,047

741,658 + 32,567 = 774,225

Step-by-step explanation:

Answer: 4 10/11

Step-by-step explanation:

The triangle of ABC is a right-angle triangle is true.

In Triangle of ABC

⇒(AC)^2=(BC)^2+(AB)^2 ----equation (1)

given by

Pythagoras theorem,

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

The hypotenuse is the longest side in this situation because it makes an angle of 90°

⇒(hypotenuse)^2=(one side)^2+(other side)^2 ---equation (2)

comparing one (1) and (2)

we get, AC is a hypotenuse of a triangle.

⇒ hypotenuse is the longest side of a right-angled, opposite the right angle.

⇒ opposite angle of AC is ⇒∠ B.

Hence, ∠ B is a right angle of triangle ABC. so, the triangle of ABC is a right angle triangle is true.

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Answer:

(y+4)²

Step-by-step explanation:

[tex](a+b)^2=a^2 + 2ab+b^2[/tex]

Here, a=y and b=4.

Answer:

78 13/24

Step-by-step explanation:

3 5/8=29/8

21 2/3=65/3

29/8×65/3=1885/24=78 13/24

So, your answer is 78 13/24

Hey there!

3 5/8 * 21 2/3

= 3 * 8 + 5 / 8 * 21 * 3 + 2 / 3

= 24 + 5 / 8 * 63 + 2 / 3

= 29 / 8 * 65 / 2

= 29 * 65 / 8 * 2

= 1,885 / 16

= 78 13/24

Therefore, your answer should be:

78 13/24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

256

Step-by-step explanation:

20-8=12

12+4=16

16x16=256

Answer:

256

Step-by-step explanation:

Well, doing 4021836 - 1987269 on paper, you would get the answer of 2034567

solu. 2034272

Alternate form. 2.034272*10^2

Answer:

60

Step-by-step explanation:

Since both bags of sugar were 120 kg, there is a total of 240 kg of sugar to be distributed into the packs. Let x represent the number of 2 kg packets and y represent the number of 3 kg packets. We know that all the sugar was packed into these two kinds of packets, so:

[tex]2x+3y=240[/tex]

And we know that there were half as many 2 kg packets as 3 kg packets, so:

[tex]x=\frac{1}{2} y[/tex]

Now, we have a system of equations!

[tex]\left \{ {{2x+3y=240} \atop {x=\frac{1}{2}y }} \right.[/tex]

Let's put the second equation equal to y, since that removes the fraction:

[tex]x=\frac{1}{2}y\\ 2x=y[/tex]

Now substitute y into the first equation:

[tex]2x+3y=240\\2x+3(2x)=240[/tex]

Now simplify to find x:

[tex]2x+3(2x)=240\\2x+6x=240\\8x=240\\x=30\\[/tex]

There are 30 of the 2 kg packets! Now, we can use x to find y, the number of 3 kg packets!

[tex]2x=y\\2(30)=y\\60=y[/tex]

There are 60 of the 3 kg packets!

Answer:

Step-by-step explanation:

Okay

x+2y=7

x+2y-2y=7-2y

x=7-2y

4x+2y=10

4x+2y-2y=10-2y

4x=10-2y

divide both sides by 4

4x/4=(10/4)-(2y/4)

x=(5-y)/2

Hope this helps! ^^

IfIf you swim 4 lengths of a pool and break a record by 0.72 second. The table shows your time for each length compared to the previous record holder. How much faster or slower is your third length than the previous record holder is: 0.54 seconds.

First step is to calculate the different in speed between first and fourth length

Using this formula

Speed =-First length time in seconds +(- Fourth length time in seconds)

Let plug in the formula

Speed=-0.23+(-0.42)

Speed=-0.65

Second step is to calculate the third length

Speed=-0.65+0.11

Speed=-0.54 seconds

Therefore If you swim 4 lengths of a pool and break a record by 0.72 second. The table shows your time for each length compared to the previous record holder. How much faster or slower is your third length than the previous record holder is: 0.54 seconds.

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The value of x so that the equation based on a and b has a solution is x = -4/3

 An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.

   Equations can be graphed, just like a function.

     As we can see, we have the following equation:

a + 8 = -4(xb)

  and we have the values of the coefficients a and b, and these are:

   We substitute these values in the equation:

(8) + 8 = -4 [x(3)] We solve the equation

16 = -4(3x)

16 = -12x

x = 16-/12

x = 8/-6

x = 4/-3

x = -4/3

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Answer:

the answer is 12.

Step-by-step explanation:

to find the answer divide 60 by 5 and you'll get the answer (aka 12)

Answer:

12

Step-by-step explanation:

5h=60

h= 60÷5

=12

ans: h=12

Using proportions, it is found that she would save $900 in a year.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

She spends $150 a month on clothing and accessories, hence, if she saves half of that, the amount saved in a month is:

0.5 x 150 = $75.

In a year, this amount will add up to:

75 x 12 = $900.

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Answer:

radius: 3.66 Diameter: 7.32

Step-by-step explanation:

Radius =  C/2π  3.6605636911136

Diameter = C/2π7.3211273822272

Answer:

well done ......hope it's helpful

Answer:

Solutions below

Step-by-step explanation:

This question requires the concept of substitution and order of operations (Bracket > Multiplication / Division > Addition / Subtraction).

Given x = - 2, y = - 3 and z = 4,

a) 2 x + 3 y = 2 (- 2) + 3 (- 3) = - 4 + (- 9) = - 4 - 9

= - 13

b) 2(y - z) = 2 (- 3 - 4) = 2 (- 7) = - 14

c)

[tex] \frac{6x}{2y} \\ = \frac{6( - 2)}{2( - 3)} \\ = \frac{ - 12}{ - 6} \\ = 2[/tex]

If the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.

Given that the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10.

We are required to find the cost of 1 kg of mushrooms and the cost of 1 kg of turnips.

Cost is basically the expenditure that we do in order to buy or produce a product.

Suppose the cost of 1 kg of mushrooms be x and the cost of 1 kg of turnips be y. The equations will be as under:

2x+2.5y=8.55------1

3x+4y=13.10-------2

Equation1 *3 and Equation2 *2.

6x+7.5y=25.65-----3

6x+8y=26.20-------4

Subtract 4 from 3.

6x+7.5y-6x-8y=25.65-26.20

-0.5y=-0.55

y=1.1

Put the value of y in 1.

2x+2.5*1.1=8.55

2x+2.75=8.55

2x=8.55-2.75

2x=5.80

x=2.9

Hence if the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.

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The best method to solve a problem is Brainstorming.

According to the statement

We have to find that the which method is the best for solving the problem.

So, For this purpose, we know that the

A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem.

From the given information:

There are different methods to solving this problem.

Then

we know that the to solve a problem there are lot of the method, but the some method are the best to solve the problem.

The method is called a brainstorming session.

It is the Brainstorming is a problem-solving activity where students build on or develop higher order thinking skills. Encourages creative thought. Brainstorming encourages students to think creatively.

And due to their special capability it is the best method.

So, The best method to solve a problem is Brainstorming.

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According to the given statement;

The probability of student Who scored less than 350 is 0.0643.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. The concept of probability was developed to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

According to the given value;

Population Mean,μ = 528

Population Standard Deviation,σ = 117

X follows normal distribution

I.e X ~ N ( μ = 528 ,σ = 117 )

formula for z score is

Z =

0

Subtract the mean and then divide by the standard deviation to turn x into a standard Normal z

X ≤ 350

(x-528)/117 ≤ (350-528)/117

z ≤ -1.52

Now, by using standard normal distribution table

area left of -1.52

= 0.0643

Hence,The required probability is 0.0643.

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If JM ≅KM then M is the midpoint of ΔJKL then LM is the median of

JM  ≅ KM.

A perpendicular bisector is a 90° angle line that intersects and passes through the midpoint of a given segment.

The median of a triangle is a line segment that connects a vertex to the midpoint of the opposing side. Each triangle has three medians, one from each vertex, which all intersect at the triangle's centroid.

The altitude of a triangle is a line segment that runs through a vertex and is perpendicular to the baseline.

We know that JM ≅ KM then M is the midpoint of ΔJKL. Therefore, LM is the median of JM ≅ KM.

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8.06 is  the distance between the two points  .

What is distance in math?

distance d = [tex]\sqrt{( 5 + 3)^{2} + ( -2 + 1)^{2} }[/tex]

              d = [tex]\sqrt{8^{2} + (-1)^{2} }[/tex]

                d = [tex]\sqrt{64 + 1}[/tex]

                d = √ 65

                d = 8.06225  ≈ 8.06

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the required area of shaded part is 549.3807mm^2

Four quarter circles are cut out from a 16 cm square

that is we have given that square has each side 16 cm

we know that

area of square = (side) ^2

                      = 16*16 cm^2

                       = 256 cm^2

four quarter circles are cut out from a 16 cm square

we know that

area of sector = N/360 ( pi *r^2)

                       = 90/360( pi* 8^2)   it makes angle 90 degree and r=8cm

                       = 1/4( pi* 64)

therefore area of four quarter circles is given by

=4*(1/4)*(64*pi)

=64pi

now the required area of the shaded part is equal to

=area of square - area of four quarter circles

=       256 -  64pi

= 256 - 201.06193

= 54.93807 cm^2

we know that 1cm is equal to 10mm

54.93807*10 =549.3807mm^2

Hence the required area of shaded part is 549.3807mm^2

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Answer:

A. -17/5

Step-by-step explanation:

h= -17/5

Hope this helps! :)

Answer: 4.95

Step-by-step explanation:

54.25÷6.2−3.8=

54.25/6.2−3.8=

8.75-3.8=

8.75-3.80=

8-3+0.75-0.80=

5-0.05=4.95

The infinite geometric series has the general form a1 + a1r + a1r² + a1r³+…, where r is the common ratio and a1 is the first term. The sum of the finite geometric series 3 + 6 + 12 + 24 + 48 + . . . + 768 is 1533.

The result of an endless geometric sequence exists an infinite geometric series. There would be no conclusion to this series. There would be no conclusion to this series. The infinite geometric series has the general form a1 + a1r + a1r² + a1r³+…, where r is the common ratio and a1 is the first term.

The equation be S = a1/(1-r), where s is the total, a1 is the series's first term, and r is the common ratio, is a general formula for calculating the sum of an infinite geometric series. The formula a2/a1, where a2 is the second term in the series and a1 is the first term in the series, can be used to determine the common ratio.

Let the finite geometric series be

3 + 6 + 12 + 24 + 48 +. . . + 768

Where, the first term, a = 3

common difference, r = 6/3 = 2

n = 9

The equation be Sn = a(1 - [tex]$$r^{n}[/tex])/(1 - r)

substitute the values in the above equation, we get

S9 = 3(1 - [tex]$$2^{9}[/tex]))/(1 - 2)    

simplifying the above equation, we get

= 3(1- 512)/(-1)    

= 3(-511))/(-1)

= 3(511) = 1533

Therefore, the sum of the finite geometric series 3 + 6 + 12 + 24 + 48 + . . . + 768 is 1533.

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The required no . is ( - 10. 4 ) .

According to ques .

10 * [ ( 1 / 2 ) x + 6 ] = 8

Solving linear equation in one variable above ,

( 1 / 2 ) x = ( 8 / 10 ) - 6

( 1 / 2 ) x = - 52 / 10

x = (  - 52 / 10 ) * 2

x = - 10 . 4

Hence , the no . is ( - 10 . 4 ) .

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