Use a permutation expression to solve.
In a race of 43 people, how many different ways can the runners place in 1st, 2nd, and 3rd?

Answers

Answer 1

Answer:

74046

Step-by-step explanation:

Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

[tex]\frac{43!}{(43-3)!} =74046[/tex]

Hence the answer is 74046


Related Questions


[tex]500 \times 96515 + 275[/tex]

Answers

Answer:

= 48257775

Step-by-step explanation:

500x96515+275

multiply first

48257500+275

lastly, add

=48257775

i hope this helps :)

Using pemdas you would solve the multiplication first then add the 275, so the answer would be 48,257,775

What is the width of the rectangle?
30y

60y4

Answers

Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

Gerard paid $10 for one dozen pomegranates costing 75¢ each.
How much should he get back in change?

Answers

$9.25 cents I’m pretty sure this is the correct answer

Find the value of x and round to the nearest tenth. *bots will be reported*

Answers

x is c in the pythagorean theorem which means a^2+b^2=c^2 and c = x so 22^2+27^2=x^2. x will equal 38.8

What is the angle and the answer pls this is a quiz grade

Answers

Answer:

b is equal to 132

because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure

hope this helps :)))

ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery

my teacher has us doing 4 page review guides for finals

I think B is equal to 132
I hope it’s help


A rock is dropped from a hot air balloon at a height of 100 meters. The rock's
height from the ground in meters, h(t), is modeled by the formula
h(t) = -4.9ť + 100, where t is the time in seconds.
What is the average rate of change in m/s of the height of the rock between 2 and
4 seconds?
A. -4.9
B. -9.8
c.-29.4
D. -58.8

Answers

Answer:

-29.4

i was told trust me ig?

The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.

What is average?

The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.

Average = the sum of the data value / the total number of units

The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,

where t is the time in seconds.

At t = 2 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(2) + 100

     = 90.2

At t = 4 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(4) + 100

     = 80.4

The average rate of change in m/s of the height of the rock is between 2 and 4 seconds

              = 80.4 - 90.2 / 2

              = - 4.9

Thus, the correct option is A.

Learn more about average here;

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In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?

Answers

Answer:

There would be an 80% increase from 499.99 to 899.99.

In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?

a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds

Answers

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

26) In triangle ABC, if AB-BC and B
= 70°, ZA will be: *
O a. 70°
O b. 110°
O c. 55°
O d. 130°​

Answers

Answer:

55degrees

Step-by-step explanation:

Let the other angles of the triangle are x, x degrees. Since the sum of angles in a  triangle is 180degrees, hence;

<A + <B+ <C = 180

x + 70 + x = 180

2x+70 = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

SInce <A is equal to x, hence <A is 55degrees

1. Find the value of x. The diagram is not to scale.​

Answers

Answer:

64

Step-by-step explanation:

As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.

a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box ​

Answers

Answer:

A estimation of the slope is (1/2) °C/min

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope

We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)

Then the slope is:

a = (16°C - 14°C)/(18 min  - 14 min) = (2°C)/(4 min) = (1/2) °C/min

Answer:

what were the answers? IStep-by-step explanation:

If ∠2 is 70˚, what is the measure of ∠4?

Answers

Answer:

Step-by-step explanation:

If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12

The measure of ∠4 is 20° when ∠2 is 70˚

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

An angle is the figure formed by two rays,

The given angle ∠2 = 70°

Complementary angles : A Pair of angles whose sum is 90°

So, Let the complement of ∠A be x

So, ∠2+∠4 = 90°

70°+∠4 = 90°

∠4= 20°

Hence, the measure of ∠4 is 20°

To learn more on Angles click:

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#SPJ2

PLEASE I GIVE BRAINLIRST PLEASE HELP I NEED TO OASS THIS





Evan wants to add a flower box at the edge of the garden. He decides to paint the box. The flower box is open on
The box is 16 inches long. 6 inches wide, and 8 inches the top and does not need to be paintes. What is the
high
minimum amount of paint he will need?
Evan will need enough paint to cover
What is the maximum amount of soil he will need to fill
Bin
the box
The maximum amount of soillis

Answers

Answer:

Evan needs enough paint to cover 448in^2

He needs enough soil to fill 768in^3

Step-by-step explanation:

A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?

Answers

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

What is the method to converting the percentage into desimal ?

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

[tex]\frac{15}{100}=0.15[/tex]

Multiply 0.15 by original price,

[tex]0.15\times 53=7.95[/tex]

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

To learn more about the selling price visit:

https://brainly.com/question/1153322

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

WILL MARK BRAINLIEST!

Answers

Answer:

1996 and 2000

Step-by-step explanation:

Since P (the population) is represented in thousands, 8000 will be represented by 8.

Plug in 8 as P and solve for t:

P = 2|t - 8| + 4

8 = 2|t - 8| + 4

4 = 2|t - 8|

2 = |t - 8|

Separate this into 2 possible cases:

2 = t - 8 and -2 = t - 8

Solve:

2 = t - 8

10 = t

-2 = t - 8

6 = t

So, the answers are 6 and 10.

The town will have a population of 8000 in 1996 and 2000

PLEASE HELP NEED THE ANSWER

-20
-15
-25
-18

Answers

x=-15, because the equation of the graph is y=1/3x+1, and you substitute y for -4.

How do I find the indicated value for this problem?

Answers

Answer:  just want points tbh

Step-by-step explanation:

For some reason it didnt let me upload as text so here you go.

what is the median of 77, 84, 85, 88, and 99?

Answers

Answer:

86.6

Step-by-step explanation:

77+84+85+88+99=433

433/5=86.6

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

77, 84, 85, 88, 99

5 numbers

5/2= 2.5

what dose (-1/4) * (1/3)=

Answers

Answer:

7/12

Step-by-step explanation:

Please help. What is the answer?

Answers

Answer:

ASA

Step-by-step explanation:

The longest side is the same (denoted by the small line).

Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.

As such, the triangles share one common side and two common angles. Hence ASA

Help plz I just need the answer

Answers

Answer:

x = 7

Step-by-step explanation:

How to get an area for this shape

Answers

Answer:

A = 135 cm²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The total area is the sum of the area of both triangles

A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8

   = 9 × 7 + 9 × 8

   = 63 + 72

   = 135 cm²

When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an
organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%​

Answers

Answer:

0.01  %

Step-by-step explanation:

The given model is;

y = a (0.5)^t/5730

Which is;

y = a(2^-1(t/5730)

Then;

y = a (2^-1/5730)^t

y = a(0.999879)^t

Hence;

Given that the general model is;

y(x)= a(1-r)^x

Where r is the rate percent

Since 1-r =0.999879

r = 0.00012096

y = a(1 - 0.00012096)^t

So;

r= 0.00012096* 100 = 0.01 %

61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data

Answers

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

This is the graph of f(x). What is the value of f(2)?
A. 8
O O
B. 4
C. 2
D. 16

Answers

Answer:

c.2

Step-by-step explanation:

f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)

Solve the factorial.

The factorial \(4!\) is equal to

Answers

Answer:

4! = 24

Step-by-step explanation:

[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]

Hope this helps.

Answer:

24

Step-by-step explanation:

I just did the same lesson and got it right

The plant produces 1200 packages of grapes. An inspector randomly chooses 24 packages and discovers that 8 of the packages have broken seals. What is the probability the package has a broken seal?​

Answers

Answer:

8

Step-by-step explanation:

Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y

Answers

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y

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