In a class of 25 students; 15 students like Mathematics, 6 like English and 4

like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.

Help plz
​

The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

Given,

f(x)=5x^4 and g(x)=e^2x+x.

If h is the function defined by h(x)=f(g(x)),

We need to find h′(x).

We have,

dx/dx = 1

d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]

d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]

d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]

d(cx)/dx = c(dx/dx) = c

We have,

- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)

- h(x)=f(g(x)) _______(3)

Now,

h(x) = f ( [tex]e^{2x}[/tex]+x )

From (1)

h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)

Now,

Differentiate (4)

h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx

h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx

h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )

h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 )

Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

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Answer:

The answer to your question is 4

The sum of twice a number and 6 is 4.

Answer:

x=9.5

Step-by-step explanation:

Answer:

4

8

+

2

{\color{#c92786}{\frac{4x}{8}}}+2

84x​+2

2

+

2

Step-by-step explanation: please mark brainliest

Answer: can you show the selections?

Step-by-step explanation:

Answer:

c<$12

Step-by-step explanation:

$26-$14>c

$12>c

c<$12

Answer:

14 + c ≤ 26

Step-by-step explanation:

Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

sorry po di ko ma intindihan

Step-by-step explanation:

sorry po

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

Answer:

Step-by-step explanation:

=-65*5

=-325

Answer:

-3

Step-by-step explanation:

its very easy correct me if im wrong brainliest btw

Answer:

1,234 thats the answer

Answer:

forgive me i need points

Step-by-step explanation:

Answer:

148 deger ❤❤❤❤❤❤❤❤❤❤

32 meter

Answer:

13/18

Step-by-step explanation:

Therefore, 6.5 · 1/9 = 13/18.

Answer:

Step-by-step explanation:

6x + 7 + 3x - 16 = 180    {Supplementary}

6x  + 3x + 7 - 16 = 180

9x   - 9 = 180

      9x = 180+ 9

      9x = 189

         x = 189/9

x = 21

6x + 7 = 6*21 + 7 = 126 + 7 = 133

11y - 32 = 6x + 7    {Vertically opposite angles}

11y - 32 = 133

      11y = 133 + 32

      11y = 165

y = 165/11

y= 15

Answer:

2

Step-by-step explanation:

find how many fourths are in a half:

1/2 = 2/4

if there's 2/4 in a half, then she filled two bottles

have a wonderful day :)

Add 14 and 13+14=27...ans

Answer:

There were 4 pieces

Step-by-step explanation:

Answer:

origanal

Step-by-step explanation:

origanaol

Answer:

1 is equal

2 is greater

3 is greater

Step-by-step explanation:

2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.

2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.

2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.

Answer:

2.5 am i right

please mark me as brainliest

Answer:

2.5 or 35/14

Step-by-step explanation:

Answer:

13in

Step-by-step explanation:

remember it's the same angle width.

Answer:

a is the answer

Step-by-step explanation:

here

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Answer:

66-3i

Step-by-step explanation:

(4-3i)-(9-71)

(4-3i)-(-62)

(4-3i)-62

66-3i

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

Answer:

1/3 = 2 2/3 eighths.

Step-by-step explanation:

There are 2(2/3) eights in 1/3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Eighths = 1/8

Now,

(1/8)x = 1/3

Solve for x.

x = 1/3 x 8/1

x = 8/3

x = 2(2/3)

Thus,

There are 2(2/3) eights in 1/3.

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Answer:

a^8

I hope this is the correct answer

have a great day

Answer:

a³

Step-by-step explanation:

(a².a³.(a-¹)²)

a²+³.a-¹×2

a⁵.a-²

a⁵+(-²)

a⁵-²

a³