Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?

In order to determine the probability of generating 25938 in exact order, let's determine first how many ways can we generate 5-digit numbers from 1 - 9.

So, for our first number, we have 9 numbers to choose from.

For our second number, we only have 8 numbers to choose from since digits cannot be repeated.

For our third number, we only have 7 numbers to choose from.

For our 4th number, we now have 6 numbers only available

Lastly, for our 5th number, only 5 numbers are available.

So, there are 15, 120 ways of generating 5-digit numbers out from 1-9 without digits being repeated. Out of these 15,120 ways, only one is 25938.

Hence, the probability that a randomly generated number is 25938 is:

or in decimal form,

or in percent form.

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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Answer:

  240

Step-by-step explanation:

To evaluate the expression for specific numerical values, put the numbers in place of the corresponding variables, and do the arithmetic. A calculator or spreadsheet can help you with this.

  p^2q^2+pq–q^3–p^3

  = 4²(-4)² +4(-4) -(-4)³ -4³

  = 4⁴ -4² +4³ -4³

  = 4²(4² -1) = 16(15) = 240

The value of the expression is 240.

To solve the system of equations, we can use the method of substitution or elimination. Let's use the substitution method. Simplify and solve for each variable.

To solve the system of equations, we can use the method of substitution or elimination. Let's use the substitution method:

From the third equation, we can rewrite it as: 5y = 10 - 2x. Solving for x, we get x = 5y - 10. Now we substitute this value of x into the first equation:

(5y - 10) + 7y + 3z = 29

Simplifying, we have 12y + 3z = 39. From the second equation, we isolate z as: z = (-7 - x + 2y)/3. Now substitute the values of x and z into the equation obtained from the first equation:

12y + 3((-7 - x + 2y)/3) = 39

Simplifying further gives the following equation: 12y - 7 + 2y = 39. Combining like terms results in a quadratic equation in terms of y:

14y = 46. Solving for y, we get y = 23/7. Finally, substitute the value of y back into the previous equations to find the values of x and z.

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If Group 1 trees produce 25 percent more coconuts than Group 2, proportionately, Group 2 trees produce 120 coconuts.

Proportion refers to the two ratios equated to each other.

Proportion shows how much quantity or value is contained in another.

We depict proportions using fractional values, such as fractions, decimals, and percentages.

The number of coconuts produced by Group 1 trees = 150

The percentage by which Group 1 trees produce more than Group 2 = 25%

Let Group 1's production compared to Group 2's = 1.25 (100% + 25%)

Let Group 2's production = 100% = 150/125 x 100

= 120 coconuts

Thus, Group 2 trees would produce 120 coconuts compared to Group 1 trees that produced 150, which was proportionately, 25% more.

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Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Answer:

Step-by-step explanation:

x + (1)7  = x + 7

x + 2(7) = x + 14

Answer:

  2.908 s

Step-by-step explanation:

The "work" is most easily done by a graphing calculator. We only need to tell it the equation of motion.

For speeds in feet per second, the appropriate equation for vertical ballistic motion is ...

  h(t) = -16t² +v₀t +s₀

where v₀ is the initial vertical velocity in ft/s and s₀ is the initial height in feet. The vertical velocity is the vertical component of the initial velocity vector, so is (65 ft/s)(sin(44°)). We want to find t for h=0.

  0 = -16t² +65sin(44°) +4

Dividing by -16 gives ...

  0 = t^2 -2.82205t -0.2500

Using the quadratic formula, we find ...

  t ≈ (2.82205 ±√(2.82205² -4(1)(-0.25))/2 ≈ 1.41103 +√2.24099

  t ≈ 2.90802

It will take about 2.908 seconds for the discus to reach the ground.

_____

Comment on the question

You're apparently supposed to use the equation for ballistic motion even though we know a discus has a shape that allows it to "fly". It doesn't drop like a rock would.

Answer:

Max cannot be correct because a triangle is made up of three angles, whose sum is 180°. Max's answers add up to 170°

Answer:

B. $4.30

Step-by-step explanation:

4 1 dollar bills added up makes $4, and 3 dimes, which have a price of 10¢ added up 10+10+10 make 30¢

The 30 - 60 - 90 triangles are solved for their respective unknown values and are given below.

It means that there is a right triangle with other two angles as 30 degrees and 60 degrees.

Given are 30 - 60 - 90 triangles.

{ 1 } -

tan(60°) = 10√3/v

{v} = {10√3}/{tan(60°)}

sin(60°) = 10√3/w

{w} = {10√3}/{sin(60°)}

{ 2 } -

sin(60°) = a/20

{a} = 20 sin(60°)

tan(60°) = b/a

{b} = 20 sin(60°) tan(60°)

Similarly, the other 30 - 60 - 90 triangles can be solved using the trigonometric ratios.

Therefore, the 30 - 60 - 90 triangles are solved for their respective unknown values.

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The answer is 3,240

Explanation:

To calculate the total income tax, it is necessary to calculate what is the 15% of 8000, and 17% for the remaining money, which is 12.000 (20,000 - 8,000= 12,000). Considering the statement specifies the 15% is paid for the first 8,000 and from this, the 17% is paid. Now to know the percentages you can use a simple rule of three, by considering 8000 and 12000 as the 100%. The process is shown below:

1. Write the values

\(8000 = 100\)

\(x = 15\) (the percentage you want to know)

2. Use cross multiplication

\(x =\frac{8000 x 15 }{100}\)

\(x = 1200\)

This means for the first 8000 the money Rafael needs to pay is 1,200

Now, let's repeat the process for the remaining money (12,000)

\(12000 = 100\\\\\)

\(x = 17\)

\(x = \frac{12000 x 17}{100}\)

\(x = 2040\)

Finally, add the two values \(1200 + 2040 = 3240\)

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The maximum height at the moment is 191.0625 ft.

What is the projectile's height?

Let's find out the projectile's maximum height now that we know what it is. The highest vertical location along the object's flight is considered to be its maximum height. The range of the bullet is defined as its horizontal displacement.

Here, we have

Given: The equation for a projectile's height versus time is h(t)=-16t²+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second.

The equation for a projectile's height versus time is

h(t) = -16t²+Vt+h

h = 2

V = 110

Substitute these values into the function

h(t) = -16t²+110t+2

Take the first derivative

h'(t) = -32t + 110

Equate the derivative with zero h'(t) = 0

0 = -32t + 110

110 = 32t

t = 110/32

t = 3.4375

Find the maximum height at the moment

t = 3.4375 (s)

h(3.4375) = -16(3.4375)² + 110(3.4375) + 2

h(3.4375) = -189.0625 + 378.125 + 2

h(3.4375) = 191.0625 ft

Hence, the maximum height at the moment is 191.0625 ft.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

625

Step-by-step explanation:

(5)4

=625

Hope it's help you ❤️❤️❤️❤️❤️❣️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

I'm sorry if I answere is wrong

an equation is any statement that has an equal sign or its equivalent. Word such as equals, is, are, were, was, is, is equal to, and result is can be used in place of the equal symbols example of = 4n + 7 = 11b - 2 = 3x + y + z = 187 twice a number increased by four is ten the different of a number and two is five

Answer:

y = -5/3 x - 13

Step-by-step explanation:

Parallel lines have the same slope.  The slope will be -5/3

y = mx + b

We will substitute -3 for y (-6,-3).

We will substitute -5/3 for m.

We will substitute -6 for x (-6,-3)

-3 = -5/3(-6) + b

-3 = \(\frac{30}{3}\) + b

-3 = 10 + b  Subtract 10 from both sides

-3 - 10 = 10 - 10 + b

-13 = b

To write the equation, use -5/3 for m (the slope) and -13 for b (the y-intercept)

y = mx + b

y = -5/3 x - 13

Helping in the name of Jesus.

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

Non linear function

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

i really hope this helps :))))

Answer:

19.15

Step-by-step explanation:

so find the circumference of the circle using c=2*pi*r it's like 18.849. then find the perimeter of the box so p=2l+2w and it's like 38. so subtract the circle circumference from 38 so 38-18.849=19.15

The area of the shaded region is the difference between the area of the rectangle and the area of the two congruent semi-circles. Then the area of the shaded region is 49.73 square units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The dimension of the rectangle is 13 by 6 units.

The radius of the semi-circle is 3 units.

The area of the shaded region is the difference between the area of the rectangle and the area of the two congruent semi-circles.

\(\rm Shaded \ area = Area \ of \ rectangle - Area \ of \ 2 \ semi-circles \\\\Shaded \ area = 13 * 6 - 2*\dfrac{\pi * 3^2}{2}\\\\Shaded \ area = 78 - 9 \pi \\\\Shaded \ area = 78-28.274\\\\Shaded \ area = 49.73\)

The area of the shaded region is 49.73 square units.

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Explanation:

The shorter side lengths 3 and 3 add to 3+3 = 6, which is not larger than the remaining side 9. This is why a triangle is not possible.

For a triangle to be possible, we need the sum of any two sides to be larger than the third side. Refer to the triangle inequality theorem.

I recommend making slips of paper that are 3 inches, 3 inches, and 9 inches long (or replace "inches" with "centimeters"). Then try to make a triangle with those slips of paper. You should find such a task is impossible: as mentioned, the 3 inch sides come up short when trying to attach to the 9 inch side.

The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

A triangle cannot be formed with side lengths of 3, 3, and 9.

To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

However, in this case, the sum of the lengths of any two sides is 3+3=6, which is less than the length of the third side, 9.

Therefore, it is not possible to form a triangle with side lengths of 3, 3, and 9.

Thus,

The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.

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(a) Class interval of a given data is 36.

(b) Frequency distribution is 44.

We have given that,

total frequency = 44

lower limit = $70

number of class = 5

(a) we have to find class interval,

Class interval =  \(\frac{Max. number - min. number}{no. of classes}\)

here maximum number is 264 and minimum number is 84

Class interval = \(\frac{264 - 84}{5}\)

                      = \(\frac{180}{5}\)

Class interval = 36

we have to round our value to the next multiple of 5

so the class interval will be 40.

(b) A frequency distribution is the pattern of frequencies of a variable. It is the number of times each possible value of a variable occurs in a dataset. There are three types of frequency distribution such as Cumulative frequency distribution, Relative frequency distribution, Relative cumulative frequency distribution.  

The frequency distribution is as follows:

Class interval           Frequency

 70 - 110                         6

 111 - 151                          5

152 - 192                       10

193 - 233                       14

234 -  274                       9

Total                              44

This is the organize data into a frequency distribution.

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Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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