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2 years ago

Evaluate 4+(m-n)^4 when m =7 and n = 5

Mathematics

1 answer:

Masja [62]2 years ago

6 0

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

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What is the lateral area of the cylinder?

Sunny_sXe [5.5K]

D = 22ft
h = 9 ft

Lateral area of the cylinder = π × D × h = 3,14 × 22 × 9 = 621,72 ft²

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3 years ago

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state the coordinate of the image of the given point B (-10, -6) under a dilation with a center at the orgin with the given scal

JulijaS [17]

Answer:

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Step-by-step explanation:

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3 years ago

Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

Therefore, the domain of this function is: -∞ < -1 or x > 0

5 0

3 years ago

HEEEEEEELLLPPPPPPPPP!!!!! PLEASEEEEEEEE

Klio2033 [76]

Answer:

a) $a_n=2(a_{n-1})$ , where $a_1=5$ .

b) $a_n=5(2)^{n-1}$

Step-by-step explanation:

The given sequence is

$5,10,20,40...$ .

The first term of the sequence is

$a_1=5$

The second term is $a_2=10$

The common ratio for this sequence can be determined using any two consecutive terms in the sequence.

Using the first two terms, the common ratio is

$r=\frac{a_2}{a_1}$

$\Rightarrow r=\frac{10}{5}=2$

a) The recursive rule is given by,

$a_n=r(a_{n-1})$

$a_n=2(a_{n-1})$ , where $a_1=5$ .

b) The explicit rule is given by $a_n=a_1r^{n-1}$

$\Rightarrow a_n=5(2)^{n-1}$

3 0

3 years ago

Here is information about the sandwiches sold by a cafe.

Alina [70]

Answer:

The frequency table is shown below

Step-by-step explanation:

(i) Half of the tuna sandwich were on white bread = 21

On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

On white bread, 32 - 8 = 24

Frequency table:

Tuna Cheese Ham Total

Brown 21 11 8 40

White 21 15 24 60

Total 42 26 32 100

3 0

3 years ago