4 8 12
A B
++++
24 32
C
48
What number does C stand for?
D
56 60

Answer:

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Answer:

Step-by-step explanation:

Firstly, you would need to have someone teach you unless you don't then I'm sure there are courses online and to be excellent at it, practice a lot of questions and do diagnostic questions for each topic.

A computer password is required to be 7 characters long.

Note the requirements:

   Repetition of letter or digit is not allowed.

   The order of the letters and digits matters.

Because of that, permutation would be the most suitable way to count the number of possibilities.

There are [tex]P(26,3) = \frac{26!}{(26-3)!} = 26x25x24 = 15,600[/tex] ways to arrange three out of distinct letters (without replacement.)

Similarly, there are [tex]P(10,4) = \frac{10!}{(10-4)!} = 10x9x8x7 = 5,040[/tex] ways to arrange four out of distinct numbers (also without replacement.)

Therefore, there are 15,600 possibilities for the three-letter section of this password, and 5,040 possibilities for the four-digit section. What if these two parts are combined?

Consider: if the first three letters of the password were fixed, then there would be 5,040 possibilities. However, if any of the first three letters was changed, the result would be another 5,040 possibilities, all of which are different from the previous 5,400 possibilities. These two three-letter sections along will give 2 x 5,400 possibilities. Since there are 15,600 three-letter sections like that, there would be 15,600 x 5,400 = 78,624,000 possible passwords in total. That gives the number of possible passwords that satisfy these requirements.

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As we already found, the probability of winning for any selection is 1/3 = 0.333.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

a) Let's suppose that player 1 chooses rock, and the selection of player 2 can be thought of as random.

If player 2 randomly selects rock, the result of the game is a draw.

if player 2 randomly selects papers, player 1 loses.

if player 2 randomly selects scissors, player 1 win.

Then we have 3 options with the same probability, that will be:

1/3

This is, the probability of winning is equal to the quotient between the number of outcomes that make player one win (1, in this case, scissors) and the total number of outcomes (3) = 1/3

the probability of a draw is equal to the quotient between the number of outcomes that make a draw (1, in this case, rock) and the total number of outcomes (3) = 1/3

The probability of losing is equal to the quotient between the number of outcomes that make player one lose (1, in this case, paper) and the total number of outcomes (3) = 1/3

The complete question is given below.

2. Almost everyone has played the rock-paper-scissors game at some point. Two players face each

other and, at the count of 3, make a fist (rock), an extended hand, palm side down (paper), or a

"V" with the index finger and middle fingers (scissors). The winner is determined by these rules:

rock smashes scissors, paper covers rock, and scissors cut paper. If both players choose the

same object, then the game is a tie. Suppose that Player 1 and Player 2 are both equally likely to

Choose rock, paper, or scissors.

a) Give a probability model for this change process.

b) Find the probability that Player 1 wins the game on the first throw.

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Answer: I believe the answer is -8.32

Answer:

Step-by-step explanation:−8.32

Answer:

80y-24z

Step-by-step explanation:

Answer:

[tex]x = 3[/tex] [tex]y = 4[/tex]         [tex]x = -\frac{7}{5}[/tex] [tex]y = -\frac{24}{5}[/tex]

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

[tex]x^{2} +y^{2} = 25[/tex]

[tex]x^{2} +(2x-2)^{2} = 25[/tex]

[tex]x^{2} + 4x^{2} -4x-4x+4 = 25[/tex]

[tex]5x^{2} -8x+4=25[/tex]

[tex]5x^{2} -8x-21=0[/tex]

Use the quadratic equation to solve

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}[/tex]

[tex]a = 5\\b = -8 \\c = -21[/tex]

[tex]\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}[/tex]

[tex]\frac{8(+-)\sqrt{64-(-420) }}{10}[/tex]

[tex]\frac{8+\sqrt{484 }}{10}[/tex]          [tex]\frac{8-\sqrt{484 }}{10}[/tex]

[tex]x[/tex] = [tex]3[/tex]           [tex]x[/tex] = [tex]-\frac{7}{5}[/tex]

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

Answer: f(9)=21

Step-by-step explanation:

replace x with 9 i think for 2(9)+3 then solve lol

AnThe volume of prism is equal to volume of pyramid.

What is volume of prism?

The volume of a prism is defined as the total space occupied by the three-dimensional object.

The volume of a Rectangular Prism = lbh cubic units.

Where

l = Base width of a rectangular prism

b = Base length of a rectangular prism

h = height of a rectangular prism

What is volume of pyramid?

A triangular pyramid has a base in triangle shape. As we know, the area of a triangle;

A = 1/2 b x h

where b is the base of the triangle and h is the altitude.

But we have rectangular pyramid,

volume of rectangular pyramid = 1/3lbh

Given,

The length of prism= 3a

breadth = 2b

height = c

Therefore, volume of prism = 3a(2b)(c)

= 6abc

Similarly, length of pyramid = a

breath = b

height = 18c

volume of pyramid = 1/3(a)(b)(18)c

=6abc, which is equal to volume of prism.

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Explanation:

You want to show AL≅AM in the given figure.

1. AB≅AC . . . . given

2. ∠1≅∠3 . . . . given

3. ∆ABC is isosceles . . . . definition of isosceles triangle

4. ∠B≅∠C . . . . base angles are congruent in an isosceles triangle

5. ΔLBA≅ΔMCA . . . . ASA congruence postulate

6. AL≅AM . . . . CPCTC

The distance between the two cars  after three hours is 300 km

Cars a and b leave town at the same time.

The speed of the car that went to south = 80 km/hour

The total distance traveled in three hours = 80 × 3

= 240 km

The speed of the car that went to the west = 60 km/hour

The  total distance traveled in three hours = 60 × 3

= 180 km

The distance between the two car is the hypotenuse of the right triangle

The distance between the two cars after three hours = [tex]\sqrt{240^2+180^2}[/tex]

= [tex]\sqrt{57600+32400}[/tex]

= [tex]\sqrt{90000}[/tex]

= 300 km

Hence, the distance between the two cars  after three hours is 300 km

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This means that the answer is D.

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty). Statistics is the study of occurrences that follow a probability distribution.

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

According to the given question:-

Even though there aren't any actual options for this question, figuring out the right response should be simple. The quantity of numbers that will be listed is the "probability of success" that is being discussed here. We simply need to select the option with 8 of the 10 mentioned numbers since an 80% likelihood is what is being sought. This indicates that the solution is D. Hope this is useful!

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Answer:

Step-by-step explanation:

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

Hence the slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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The value of f(4) = 0 by the given graph.

What is graph?

The graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Given graph is a straight line, and the equation of a line is given as

y =mx+b

where,

m is the slope,

y is the dependent variable,

we can write it as

f(x)= mx +b

The coordinates are (4,0) and (0,2)

m = 2-0/0-4

m = -1/2

y = -1/2 x +b

we can see the line intersect the y-axis at 0,2

b =2

y = -1/2 x +2

at x =4

f(4) = -2+2=0

Hence, the value of f(4) = 0 in the given graph.

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The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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Answer:

Area of a triangle

Step-by-step explanation:

Area of a triangle = (1/2)(b)(h)

Answer: It is used to find the area of a triangle

Inequality that represents this statement is -90 < -62

Hence, the if on the horizontal number line, -62 is located to the right of

-90. The inequality that represents this statement is -90 < -62

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The equation of the perpendicular line is y = (1/8)x + 15/4.

We are given the equation of a straight line. The equation is y = -8x - 3. The slope of the given line is -8. We need to find the equation of the straight line that is perpendicular to the given line and passes through the coordinates (2, 4).

The slope of the perpendicular line will be the negative reciprocal of the slope of the given line. Let the slope of the perpendicular line be represented by the variable "m".

m = -1/(-8) = 1/8

The equation of the perpendicular line using the slope-point form can be written as given below.

y = mx + c

y = (1/8)x + c

The line passes through the point (2, 4).

4 = (1/8)2 + c

4 = (1/4) + c

c = 4 - (1/4)

c = 15/4

Hence, the equation of the perpendicular line is y = (1/8)x + 15/4.

The complete question is given below.

Write an equation of the line that passes through point p and is perpendicular to the line with the given equation.

P (2, 4)

y = -8x - 3

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The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

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Answer:

C

Step-by-step explanation:

Image has the answer for part A.

Part B)

47.9 degrees

Step-by-step explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base: Tan^-1(60/50.9)

=49.7˚

The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚

Hence, The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

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Answer:

Printing press

Step-by-step explanation:

Janet's print shop - 0.25*200=50+35=85

Printing press - 0.15*200=30+50=80

The expression for the perimeter of the rectangle is 34u - 10 centimeters.

Perimeter of the rectangle:

Perimeter is known as the total length or distance of its boundary on all sides.

The formula that is used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w),

where 'l' is the length and

'w' is the width of the rectangle.

Given,

The width of the rectangle is (10u + 3) and the length of the rectangle is (7u - 8)

Now, we need to find the perimeter of the rectangle.

We know that the formula of the rectangle is

Perimeter = 2(l + w)

where l refers the length that is (7u - 8) and w refers the width that is (10u + 3).

Now, we have to apply these values on the formula, then we get,

=> Perimeter = 2((7u -8) + (10u + 3)

When we simplify the equation, then we get,

=> Perimeter = 2((10u + 7u) + (-8 +3))

=> Perimeter = 2(17u - 5)

=> Perimeter = 34u - 10

Therefore, the perimeter of the rectangle is 34u - 10 centimeters.

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The area of triangle is 460.89 unit square.

Given:

lengths of rod, a = 29 and b = 36 ,

angle between them (θ) = 62

We know that in a general triangle of side a,b,c and angles A,B,C ,

we can write area of triangle (Δ) is

 Δ = absinθ/2

Δ =  29*36sin62/2

Δ = 460.89 unit square.

hence, the area of triangle is 460.89 unit square.

#123

The area of the SAS triangle is 460.89 cm³.

Given data;

Side length (a) = 29

Side length (b) = 36

With an angle of Ф = 62°

Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.

Now, to calculate the area of a given triangle, we use the formula as;

Area = a*b*sinФ/2

From the above formula;

Area of the SAS triangle = a*b*sinФ/2

                                         = [29*36*sin(62°)]/2

                                         = 460.89 cm³

Hence, the area of the SAS triangle is 460.89 cm³.

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4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

Let the time taken for them to paint equal areas be x hrs.

Naomi  = 2x + 16.5

Clair  = 4x + 7.5

Naomi's area = Clair's area

This is :

2x + 16.5 = 4x + 7.5

4x - 2x = 16.5 -7.5

2x = 9

x = 4.5 hours

Therefore 4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

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The value of the number is -8

From the question, we have the following statement that can be used in our computation:

5 less than three fourths of a number is one forth of number decreased

by 9

Represent the number with x

So, we have the following equation

3/4x - 5 = 1/4x - 9

Evaluate the like terms

2/4x = -4

This gives

1/2x = -4

Solve for x

x = -8

Hence, the number is -8

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Answer:

Step-by-step explanation:

your mom

The major thing that Ryan should be worried about is the C) high annual depreciation.

Normally, when we buy cars they have so much value but when the cars start being used more often, they tend to depreciate in value due to wear and tear and second value of the product. This tells us that when a car is driven for more miles in a year, it will depreciate greatly.

We are told that Ryan plans to drive about 40 miles to work and back everyday which means that in a year he would have driven thousands of miles. This will lead to a high depreciation.

Thus, we can conclude that the most important thing that Ryan should be worried about when purchasing this old hatchback is the high depreciation.

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The surface area of the cone in terms of [tex]\pi[/tex] is, [tex]95\pi cm^2[/tex].

What is cone?

A cone is a smooth-tapering three-dimensional geometric object with a flat base and an apex or vertex. The base of a cone is made up of all the points on a plane other than the apex, and the apex is connected to all the other points on the base by a series of line segments, half-lines, or lines.

In the given figure, the side length of cone is, 14 cm, and the diameter of the base is 10 cm.

As diameter is 10 cm then radius = 10/2 = 5 cm.

The surface area of the cone is.

SA = [tex]SA = \pi r^2 + \pi rl\\SA = \pi (5)^2+\pi (5)(14)\\SA = 25\pi + 70\pi \\SA = 95\pi cm^2[/tex]

Therefore, the surface area of the cone is, [tex]95\pi cm^2[/tex].

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Answer:

[tex]7x+4[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](11x-4x)+(6-2)[/tex]

2) Simplify.

[tex]7x+4[/tex]

Thanks!

Answer:

7x + 4

Step-by-step explanation:

11x + 6 -4x -2 Combine like terms

7x + 4