g You have to take 6 courses to graduate. In how many different orders can you take the 6 courses

Answer:

Step-by-step explanation:

3    12

8    

96 = 3x

x=32. the perimeter is 32

The perimeter of the larger triangle is 32 inches.

What are Similar Triangles?

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Let the perimeter of the larger triangle would be x.

We know that the ratio of the corresponding sides is 3/8.

The perimeter of the smaller triangle is 12 inches

We can use the ratio of corresponding sides to find the length of the sides of the larger triangle.

So 3/8 = 12/x

3x = 96

x = 96/3

x = 32

Thus, the perimeter of the larger triangle would be 32 inches.

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Answer:

24 so 4th answer

Step-by-step explanation:

Hope this helps

Given info:

Evaluate,

[3 + {-5 (2 - 4) ÷ 2}].3

⇛[3 + {-5(-2) ÷ 3}].3

⇛[3 + {-5 × -2) ÷ 3}].3

Now, see in equation both minus (-) sign will cancel out. Because there is multiplication (×) sign.

Suppose -a × -b = a × b = ab. So that is reason. why minus (-) will cancel out in equation.

⇛[3 + { (5 × 2)÷3}].3

⇛[3 + {10 ÷ 3}].3

⇛[3 + {10 × 1/3}].3

⇛[3 + {10/3}]. 3

⇛3 + {10/3}×3

⇛3 + {10×3}/3

⇛3 + 30/3

⇛3 + 10

⇛13. Ans.

8.75

-1 2/3 × (-5 1/4)

=35/4

= 8 3/4

= 8.75

Answer:

f ( x ) = -3x + 1

to find it's inverse let f(x)= y

y= -3x + 1

x = - 3y + 1

-3y = x -1

y = -(x -1)/3

Hope this helps.

Answer:

72

Step-by-step explanation:

3x/6=36

3x=36(6)

3x=216

x=216/3

x=72

we use the trigonometric ratio sine, so

answer:

angle = 14.86°

Answer:

The following with the positive slope is line l.

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Volume of the aquarium is 27 \(s^{3}\)

The total number of cubic units that a cube totally fills up is referred to as its volume. An object with six square faces that is three dimensional is called a cube. The amount of space an object takes up in total is known as its volume. Space would be taken up by an object having a larger volume.

Depending on the inputted inputs, many formulas can be used to determine the volume of any cube. You may figure it out by measuring the diagonal of the cube or its sides.

Given that : Carlos bought a cube shaped aquarium with side 3s

As the aquarium have cube shape so the volume will be

Volume of cube is V =\(a^{3}\)

a = 3

V = 27 \(s^{3}\)

Hence ,Volume of the aquarium is 27 \(s^{3}\)

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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When you multiply the diameter by 22/7,  you find the approximate not exact circumference of a circle.

What is the Circumference of a circle?

The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by it.

Pi ( written as the Geek letter π) is a universal constant found by dividing the circumference of a circle by its diameter. So if you measure the diameter of a circle you can calculate its circumference by multiplying by π.

Circumference = π * diameter.

It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.

For example:

What is the circumference of a circle that has a radius of 7cm?

Approximately 22 cm.

Exactly 7πcm

The ratio between the circumference of a circle and its diameter is π. We commonly write c=2π r, using the radius instead and doubling it.

One is 22/7, which is common in use and the other is 355113 ≈ 3.1415929,

which is less well-known but very accurate for the number of digits you have to remember.

In the given example, we are told that the diameter is 7 cm.

So using the common approximation π ≈ 22/7,

we find that the circumference is approximately:

(22/7)* 7 cm

= 22cm

Hence, when you multiply the diameter by 22/7,  you find the approximate not exact circumference of a circle.

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In the given equation, amplitude (A) is equal to M. The value of ω is 2π/ T and φ is 2πN/T.

Here, we are given a function as follows-

x = Acos (ωt + φ)

where A is the amplitude

Part A)

from the graph, we can see that amplitude A = M

Thus, A in the equation will be equal to M

Part B)

we know that angular frequency will be calculated as-

ω = 2π/ T

thus, here we'll have ω = 2π/ T

Part C)

Now, Phase is represented by φ = 2πN/T in rad as N and T are in seconds

Thus, in the given equation, A = M, ω = 2π/ T and φ = 2πN/T

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Your question was incomplete. Check for full content in the figure below.

Nixon's visit to China was intended to advance their relationship and create new trade opportunities.

The President stated on live television that he would visit the PRC in 1972 on July 15, 1971. The American public was able to see photos of mainland China for the first time in more than 20 years during the week-long tour, which took place from February 21 to 28, 1972.

Nixon intended to protect the global populace, which meant he wanted to improve relations amongst the world's superpowers. Nixon's visit to China was intended to advance their relationship and create new trade opportunities.

A significant step in normalizing diplomatic ties with China, Nixon's visit was a big success. The following year, American tourists began to travel there, and American business organizations established a booming trade with China. The United States and China achieved complete diplomatic ties by the year 1979.

Therefore, the correct answer is option B. The Soviet Union was close to falling apart and communism would leave Eastern Europe.

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Answer:

f=-x^2/2-2

Step-by-step explanation:

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

The probability of obtaining a success is 0.010935.

Given that the probability of obtaining success is P(X>=5),n=6,p=0.3.

We are required to find the probability of obtaining a success if the probability is P(X>=5).

Probability is basically likeliness of happening an event among all the events possible.

Binomial distribution is basically the discrete probability distribution of the number of successes in a sequence of n independent experiments.

\((a+b)^{n} =nC_{0}p^{0} (1-p)^{n-0}+-----------nC_{n} p^{n} (1-p)^{0}\)

We have to just put n=6 anr r=6 and 5 one by one to get the probability.

P(X>=5)=\(6C_{5}(0.3)^{5} (0.7)^{1} +6C_{6}(0.3)^{6} (0.7)^{0}\)

=6!/5!1!8*0.00243*0.7+0.000729

=6*0.00243*0.7+0.000729

=0.010206+0.000729

=0.010935

Hence the probability of obtaining a success if the probability is P(X>=5) is 0.010935.

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The area of Connect Karly's bedroom measures  135.96 square feet

This is the term used to refer to extents or coverage of a two dimensional object. The two dimensions involve in area is the length and the width.

given data

Connect Karly's bedroom measures

13.2 feet long

10.3 feet wide

Area of the bedroom = ?

Using the formula for area which has two terms the length and the width. The formula is multiplying the two terms and is shown below

Area = length  * width

Area =  13.2 feet * 10.3 feet

Area = 135.96 square feet

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The number of customers that bought chocolates chips last month is 240.

He discovered that 3 out of 5 people who came into his bakery for cookies bought chocolate chip cookies.

400 customers bought cookies at Bo's Bakery last month.

The number of people that bought chocolate chip cookies are as follows:

Therefore, using the fraction 3 / 5

3 out of 5 can be represented in fraction form as  3 / 5

number that bought chocolate chip = 3 / 5 × 400

number that bought chocolate chip = 1200 / 5

number that bought chocolate chip = 240

Therefore, the number of customers that bought chocolates chips last month is 240.

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Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer:444+555=999 then(999)^3=9970029999.97*10^8

Step-by-step explanation:

Answer:

the anwser is c

Step-by-step explanation:

Answer:

It is a Cuboid

Area of the base = 12x9

Area of the top = 12x9

Area of the right lateral faces = 9x7

Area of the left lateral faces = 9x7

Area of the front face = 12x7

Area of the rear face = 12x7

Total surface area is the sum of above (please do it yourself)

The volume = base surface Area x height

= 12x9x7 = 756

Be reminded to put in the right unit for Area and volumn

Answer:

its a prism

Step-by-step explanation:

to find area of all the sides, you multiply the bottom and top measurements.

12 x 7 is 84cm\(^{2}\)

12 x 9 is 108\(cm^{2}\)

9 x 7 is 63\(cm^{2}\)

for surface area, add the area of all the faces

63x2+108x2+84X2=510

volume is length x width x hight

12 x 9 x 7 = 756 \(cm^{3}\)

The expression as mixed number  is 5 5/12

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

4 2/3 + 3/4

Express as improper fraction

So, we have the following representation

4 2/3 + 3/4 = 14/3 + 3/4

Take the LCM and evaluate

4 2/3 + 3/4 = (56 + 9)/12

Evaluate the sum

4 2/3 + 3/4 = 65/12

Simplify

4 2/3 + 3/4 = 5 5/12

Hence, the solution is 5 5/12

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The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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The total number of ways to ship three items to one of the retail outlets or to one of the warehouses is: (14 + 4) * C(3, n) = 18 * n! / (3! * (n-3)!)

Since there are 14 retail outlets and 4 warehouses, there are 18 possible locations to which the items can be shipped. We need to choose 3 items and decide which location to ship them to.

The number of ways to choose 3 items from the available items is given by the combination formula:

C(3, n) = n! / (3! * (n-3)!)

where n is the total number of available items. In this case, we don't know the total number of available items, so we can't calculate this directly.

However, we do know that there are 18 possible locations to which the items can be shipped, and we can choose which location to ship the items to in 18 different ways. Once we have chosen a location, we need to choose which 3 items to ship. There are n choose 3 ways to do this, where n is the number of items available at the chosen location.

Therefore, the total number of ways to ship three items to one of the retail outlets or to one of the warehouses is:

(14 + 4) * C(3, n) = 18 * n! / (3! * (n-3)!)

where n is the number of available items at the chosen location.

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The number of each type of tickets sold are;

180 adults tickets

260 students tickets

60 children tickets

Let us solve to get the solution using 3 variables.

Let c be the number of children's tickets

Let s be the number of student tickets

Let a be the number of adult tickets

We are told that the total number of tickets was 500

Thus;

a + s + c = 500   ------(1)

The number of adult tickets was 3 times the number of children's tickets. Thus;

a = 3c   ------(2)

The total cost of the tickets was $8070. Thus;

18a + 15s + 12c = 7860  ----(3)

We conclude that solving these three equations simultaneously gives us;

a = 180 adults

s = 260 students

c = 60 children

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The quotient is found to be 4/5. The correct option is (B).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0. The number a is called as the numerator and b is the denominator. In order to divide two fractions take the reciprocal of the other fraction and change the sign as multiplication. It can be shown as a/b ÷ c/d = a/b × d/c.

The given expression is -3/5 ÷ (-3/4).

It can be simplified as follows,

Take the reciprocal of the fraction (-3/4) as -4/3.

And, change the sign of division to multiplication to obtain,

-3/5 ÷ (-3/4)

⇒ -3/5 × -4/3 = 4/5

Which the value of the quotient.

Hence, the quotient for the given arithmetic operation is 4/5.

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Answer:

12 inches

Step-by-step explanation:

Given

\(\theta = 31^{\circ}\)

\(diagonal = 23.3\ in\)

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

\(sin \theta = \frac{opp}{hyp}\)

This gives:

\(sin 31^{\circ}= \frac{h}{23.3}\)

Make h the subject

\(h = 23.3 * sin(31^{\circ)\)

\(h = 23.3 * 0.5150\\\)

\(h = 11.9995\)

\(h = 12\ inches\)

A rectangle has right angles as its interior angles. Secondly, when you draw a diagonal and has its angle with bottom, then you get a right angled triangle with known angle.
The height of the rectangle is  given by:

Option D: 12 inches

The height of that rectangular canvas.

I have attached a figure below which you can refer.

The triangle ABC is right angled  triangle. Using the sine ratio from angle A's viewpoint:

\(sin(A) = \dfrac{BC}{AC}\\\\ sin(31^\circ) = \dfrac{h}{23.3}\\\\ h \approx 0.515 \times 23.3\\ h \approx 12 \: \rm inches\)

Thus, the height of the specified canvas is 12 inches.

Thus, Option D: 12 inches is correct.

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Answer:

3√2

Step-by-step explanation:

Distance (d) = \(\sqrt{((1 - -2)^2 + (3 - 6)^2)}\)

= \(\sqrt{((3)^2 + (-3)^2)}\)

= √18

= 3√2

Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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