Can you solve and give me explanation how to solve

Given :

To find :-

Solution :-

As we know that :-

To find the rate :-

Differenciate :-

Substitute :-

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

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

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

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Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]

Answer:

a) x³

b) [tex]y^{5}[/tex]

Answer:

[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

Hope this helps

Dont forget to smash that heart at the bottom <3

Have a great day,you’re amazing !

Plz Mark Brainliest

Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.

Answer:

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

Explanation:

The first pic shows the line graphed, while the second pic shows how to turn the equation into proper slope-intercept form.

The only steps the second pic is missing however, is flipping the sides around to be better understood (optional), and more importantly subtracting 2 on both sides in order to move it to the other side, to get 2y = x - 2. And dividing the 2 on both sides to get y by its self, to get:

y = (x-2)/2 , or y = 1/2 x - 2/2 , which if you notice 2/2 makes it equal to one whole so your answer is y = 1/2 x - 1 .

If you like this answer can you please mark me brainliest? :)

Answer:

2

Step-by-step explanation:

Answer:

The answer is -7 the answer is-7

Answer:

-7

Step-by-step explanation:

(-10)+3

-10+3=-7

-4-6=-10

-10+7=-3

Answer:

5

Step-by-step explanation:

y2-y1

--------

x2-x1

8/1.5=5

Answer:

√3(√6+√15)

= 3**1/2(6**1/2 + 15**1/2)

= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2

= 18**1/2 + 45**1/2

= (2×9)**1/2 + (5×9)**1/2

= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2

= 2**1/2 · 3 + 5**1/2 · 3

= 3(√2 + √5)

Step-by-step explanation:

The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :

Answer:

x=26.6 when y=8

Step-by-step explanation:

y=Kx, k=y/x, when y is 3 and x is 10,

k=3/10= 0.3

but when y is 8, x will be given by

x=y/k

x=8/0.3

x=26.6 approximately 27

The probability of a student taking AMDM given they are taking Physics is 39.51%.

Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:

Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.

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Answer:

the distributive property

Step-by-step explanation:

it allows us to multiply each term of the first polynomial by each term of the second

PLS mark Brianliest

Answer:

B C D  are correct.

Step-by-step explanation:

a+b-c=r/t

So,

a=(t/r)-b+c therefore wrong

b=(r/t)-a+c therefore correct

c= (-r/t)+a+b therefore correct

d=t(a+b-c)

Answer:

Step-by-step explanation:

Percent of good:

Total number of baskets of tomatoes = 8

Her sister threw away = 1

Number of baskets that are good = 8 - 1 = 7

Percentage of good baskets =

=> 7/8 × 100%

=> 87.5%

Therefore, The percentage of good baskets is 87.5%

about it ok to my house and Elsa and Anna and I are going to my house and I don't know what it's like to my

Answer:

12.21

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something

Answer:

340

Step-by-step explanation:

which is the result of the surface area

Answer:

10

Step-by-step explanation:

Proprotions:

81/9 = 90/c(?)

so

81c= 9(90)

81c=810

810/81=

10

so c=10

Hope it helped!!

Step-by-step explanation:

setup a porportion. Make it pages/cards. Solve for the number of pages, p.

[tex] \frac{3}{18} = \frac{p}{234} [/tex]

reduce the fraction 3/18

[tex] \frac{1}{6} = \frac{p}{234} [/tex]

cross multiply

[tex]6p = 234[/tex]

divide by 6

[tex] \frac{6p}{6} = \frac{234}{6} [/tex]

[tex]p = 39 \: pages[/tex]

There are 39 pages he will hold for 234 cards.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent

to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Alexander has Collection of baseball cards which he wants to organize.

Now, By the given table;

The ratios for Pages to cards are,

Number of pages : Number of cards

⇒ 3 : 18

After simply;

⇒ 1 : 6

And, 6 : 36 = 1 : 6

Thus, Let number of pages for the given cards = x

Then, By the definition of ratio we get;

x : 234 = 1 : 6

Solve for x as;

x / 234 = 1/6

x = 234/6

x = 39

Thus, There are 39 pages he will hold for 234 cards.

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Answer:

divide 2 by 9

the result is 0.2 (repeats so need a bar over the 2) is a repeating decimal.

divide 3 by 10

the result is 0.3, is a terminating decimal.

both are rational and real numbers

Answer:

To change 2/9 to a decimal, divide 2 by 9.

The result, 0.222..., is a repeating decimal.

To change 3/10 to a decimal, divide 3 by 10.

The result, 0.3, is a ____ decimal. (I don't know the answer choices, but it would be the one that is the decimal not repeating).

Both 2/9 and 3/10 are irrational numbers.

Step-by-step explanation:

The bag of dog food would last for 21 days.

The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.

In order to determine the number of days in which the bag would be emptied, this equation can be used:

Number of days the dog food would last = number of cups in the cup / amount the dog eats each day

42 ÷ [tex]2\frac{1}{3}[/tex]

42 ÷ [tex]\frac{7}{3}[/tex]

42 x [tex]\frac{3}{7}[/tex] = 21 days

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Answer:

5 inch - first board

10 inch - second board

20 inch - third board

Step-by-step explanation:

x = first board

board two = 2x

board three =4x

x+2x+4X=35

7x=35

x=5 inch - first board

10 inch - second board

20 inch - third board

Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

Answer:The percent increase is 20%.

Step-by-step explanation:

It's fairly simple.

Multiply 10 by (100/10) which is 10 to get 100.

Multiply 12 by 10 to get 120.

120 - 100 = 20