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solmaris [256]
3 years ago
7

Five cards are dealt form 52. a) How many different hands can be dealt? b) How many hands will contain 4 hearts? c) How many han

ds will contain no face cards? d) How many hands will contain only spades or only clubs? e) How many hands will contain only red cards? f) How many will contain no more than 2 face cards? g) How many will contain at least 2 hearts?
Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
The answer will be d. hope that helped
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How do l do this I’m so confused
Anika [276]

Answer:

967.6cm^{2}  (1 d.p)

Step-by-step explanation:

Total Surface Area of Cylinder = 2\pi rh+2\pi r^{2}

Given from the question, r = 7 cm and h = 15cm

Lets Substitute r and h into the formula to find the Total Surface Area of the cylinder.

Total Surface Area of Cylinder = 2\pi (7)(15)+2\pi (7)^{2} \\=210\pi +98\pi \\=308\pi cm^{2} \\=967.6cm^{2}  (1 d.p)

7 0
2 years ago
Find dy/dx if y =x^3+5x+2/x²-1
stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

\qquad\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\

According to the given question, we have –

  • f(x) = x^3+5x+2
  • g(x) = x^2-1

Let's solve it!

\qquad\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2)  \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5)  -  ( x^3+5x+2) 2x}{(x^2-1)^2 }\\

\qquad\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\

\qquad\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\

\qquad\pink{\therefore  \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}}  =  \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\

7 0
2 years ago
Which is a correct first step for solving this equation?<br> 2 + 7 = 2x + 5 - 43
Nina [5.8K]

Answer:

Combine the like terms

Step-by-step explanation:

2 + 7 = 2x + 5 - 43

The first step is to combine the like terms

9 = 2x - 38

5 0
3 years ago
Read 2 more answers
Solve this inequality: 14 &lt;-7x
solmaris [256]

Answer:

x > -2

Step-by-step explanation:

14 <-7x

or, 14/-7=-7x/-7

or, -2 < x

4 0
3 years ago

igomit [66]

Answer:

A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

Here f(x) represents the y axis.

The value of f(x) is negative over the intervals (-∞, -0.7) and (0.76, 2.5).

You can see in the graph f(x) below 0.

Therefore, the answer is A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Hope this will helpful.

Thank you.

5 0
3 years ago
Read 2 more answers
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